TSTP Solution File: SCT071-1 by iProverMo---2.5-0.1

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SCT071-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n018.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 : Mon Jul 18 21:37:15 EDT 2022

% Result   : Unsatisfiable 6.78s 7.15s
% Output   : CNFRefutation 6.90s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

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

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

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

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

cnf(clsarity_bool__HOL_Ominus,axiom,
    class_HOL_Ominus(tc_bool),
    input ).

fof(clsarity_bool__HOL_Ominus_0,plain,
    ( class_HOL_Ominus(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__HOL_Ominus]) ).

cnf(clsarity_bool__HOL_Ouminus,axiom,
    class_HOL_Ouminus(tc_bool),
    input ).

fof(clsarity_bool__HOL_Ouminus_0,plain,
    ( class_HOL_Ouminus(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__HOL_Ouminus]) ).

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

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

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

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

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

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

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

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

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

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

cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
    class_Finite__Set_Ofinite_Ofinite(tc_bool),
    input ).

fof(clsarity_bool__Finite__Set_Ofinite_Ofinite_0,plain,
    ( class_Finite__Set_Ofinite_Ofinite(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Finite__Set_Ofinite_Ofinite]) ).

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

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

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

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

cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
    class_Lattices_Odistrib__lattice(tc_bool),
    input ).

fof(clsarity_bool__Lattices_Odistrib__lattice_0,plain,
    ( class_Lattices_Odistrib__lattice(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Lattices_Odistrib__lattice]) ).

cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
    class_Lattices_Olower__semilattice(tc_bool),
    input ).

fof(clsarity_bool__Lattices_Olower__semilattice_0,plain,
    ( class_Lattices_Olower__semilattice(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Lattices_Olower__semilattice]) ).

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

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

cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
    class_Complete__Lattice_Ocomplete__lattice(tc_bool),
    input ).

fof(clsarity_bool__Complete__Lattice_Ocomplete__lattice_0,plain,
    ( class_Complete__Lattice_Ocomplete__lattice(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Complete__Lattice_Ocomplete__lattice]) ).

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

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

cnf(clsarity_nat__HOL_Ominus,axiom,
    class_HOL_Ominus(tc_nat),
    input ).

fof(clsarity_nat__HOL_Ominus_0,plain,
    ( class_HOL_Ominus(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__HOL_Ominus]) ).

cnf(clsarity_nat__Power_Opower,axiom,
    class_Power_Opower(tc_nat),
    input ).

fof(clsarity_nat__Power_Opower_0,plain,
    ( class_Power_Opower(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Power_Opower]) ).

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

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

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

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

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

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

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

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

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

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

cnf(clsarity_nat__Nat_Osemiring__char__0,axiom,
    class_Nat_Osemiring__char__0(tc_nat),
    input ).

fof(clsarity_nat__Nat_Osemiring__char__0_0,plain,
    ( class_Nat_Osemiring__char__0(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Nat_Osemiring__char__0]) ).

cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom,
    class_Lattices_Odistrib__lattice(tc_nat),
    input ).

fof(clsarity_nat__Lattices_Odistrib__lattice_0,plain,
    ( class_Lattices_Odistrib__lattice(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Lattices_Odistrib__lattice]) ).

cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom,
    class_Ring__and__Field_Omult__zero(tc_nat),
    input ).

fof(clsarity_nat__Ring__and__Field_Omult__zero_0,plain,
    ( class_Ring__and__Field_Omult__zero(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Omult__zero]) ).

cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom,
    class_Ring__and__Field_Osemiring__0(tc_nat),
    input ).

fof(clsarity_nat__Ring__and__Field_Osemiring__0_0,plain,
    ( class_Ring__and__Field_Osemiring__0(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Osemiring__0]) ).

cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom,
    class_Ring__and__Field_Osemiring__1(tc_nat),
    input ).

fof(clsarity_nat__Ring__and__Field_Osemiring__1_0,plain,
    ( class_Ring__and__Field_Osemiring__1(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Osemiring__1]) ).

cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
    class_Lattices_Olower__semilattice(tc_nat),
    input ).

fof(clsarity_nat__Lattices_Olower__semilattice_0,plain,
    ( class_Lattices_Olower__semilattice(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Lattices_Olower__semilattice]) ).

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

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

cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_nat),
    input ).

fof(clsarity_nat__Ring__and__Field_Ozero__neq__one_0,plain,
    ( class_Ring__and__Field_Ozero__neq__one(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Ozero__neq__one]) ).

cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_nat),
    input ).

fof(clsarity_nat__OrderedGroup_Ocomm__monoid__add_0,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Ocomm__monoid__add]) ).

cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_nat),
    input ).

fof(clsarity_nat__Ring__and__Field_Oordered__semidom_0,plain,
    ( class_Ring__and__Field_Oordered__semidom(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Oordered__semidom]) ).

cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_nat),
    input ).

fof(clsarity_nat__Ring__and__Field_Ono__zero__divisors_0,plain,
    ( class_Ring__and__Field_Ono__zero__divisors(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Ono__zero__divisors]) ).

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

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

cnf(cls_atLeast0LessThan_0,axiom,
    c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_SetInterval_Oord__class_OlessThan(V_n,tc_nat),
    input ).

fof(cls_atLeast0LessThan_0_0,plain,
    ! [V_n] :
      ( c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_SetInterval_Oord__class_OlessThan(V_n,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_atLeast0LessThan_0]) ).

cnf(cls_atLeastLessThan0_0,axiom,
    c_SetInterval_Oord__class_OatLeastLessThan(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),
    input ).

fof(cls_atLeastLessThan0_0_0,plain,
    ! [V_m] :
      ( c_SetInterval_Oord__class_OatLeastLessThan(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_atLeastLessThan0_0]) ).

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

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

cnf(cls_range__composition_0,axiom,
    c_Set_Oimage(c_COMBB(V_f,V_g,T_c,T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c,T_a),
    input ).

fof(cls_range__composition_0_0,plain,
    ! [T_a,T_b,T_c,V_f,V_g] :
      ( c_Set_Oimage(c_COMBB(V_f,V_g,T_c,T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_range__composition_0]) ).

cnf(cls_card__empty_0,axiom,
    c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) = c_HOL_Ozero__class_Ozero(tc_nat),
    input ).

fof(cls_card__empty_0_0,plain,
    ! [T_a] :
      ( c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) = c_HOL_Ozero__class_Ozero(tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_card__empty_0]) ).

cnf(cls_finite__indi_0,axiom,
    c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),
    input ).

fof(cls_finite__indi_0_0,plain,
    ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi)
    | $false ),
    inference(orientation,[status(thm)],[cls_finite__indi_0]) ).

cnf(cls_finite__atLeastLessThan_0,axiom,
    c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,tc_nat),tc_nat),
    input ).

fof(cls_finite__atLeastLessThan_0_0,plain,
    ! [V_l,V_u] :
      ( c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,tc_nat),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_finite__atLeastLessThan_0]) ).

cnf(cls_inj__on__empty_0,axiom,
    c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b),
    input ).

fof(cls_inj__on__empty_0_0,plain,
    ! [T_a,T_b,V_f] :
      ( c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b)
      | $false ),
    inference(orientation,[status(thm)],[cls_inj__on__empty_0]) ).

cnf(cls_inj__on__id_0,axiom,
    c_Fun_Oinj__on(c_Fun_Oid(T_a),V_A,T_a,T_a),
    input ).

fof(cls_inj__on__id_0_0,plain,
    ! [T_a,V_A] :
      ( c_Fun_Oinj__on(c_Fun_Oid(T_a),V_A,T_a,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_inj__on__id_0]) ).

cnf(cls_inj__on__id2_0,axiom,
    c_Fun_Oinj__on(c_COMBI(T_a),V_A,T_a,T_a),
    input ).

fof(cls_inj__on__id2_0_0,plain,
    ! [T_a,V_A] :
      ( c_Fun_Oinj__on(c_COMBI(T_a),V_A,T_a,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_inj__on__id2_0]) ).

cnf(cls_vimage__empty_0,axiom,
    c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_vimage__empty_0_0,plain,
    ! [T_a,T_b,V_f] :
      ( c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__empty_0]) ).

cnf(cls_Un__empty_2,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

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

cnf(cls_Diff__Int_0,axiom,
    c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__Int_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__Int_0]) ).

cnf(cls_vimage__insert_0,axiom,
    c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_vimage__insert_0_0,plain,
    ! [T_a,T_b,V_B,V_a,V_f] :
      ( c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__insert_0]) ).

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

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

cnf(cls_Int__Diff_0,axiom,
    c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Int__Diff_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__Diff_0]) ).

cnf(cls_Diff__Un_0,axiom,
    c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__Un_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__Un_0]) ).

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

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

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

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

cnf(cls_eq__imp__le_0,axiom,
    c_lessequals(V_x,V_x,tc_nat),
    input ).

fof(cls_eq__imp__le_0_0,plain,
    ! [V_x] :
      ( c_lessequals(V_x,V_x,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_eq__imp__le_0]) ).

cnf(cls_le__refl_0,axiom,
    c_lessequals(V_n,V_n,tc_nat),
    input ).

fof(cls_le__refl_0_0,plain,
    ! [V_n] :
      ( c_lessequals(V_n,V_n,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_le__refl_0]) ).

cnf(cls_Int__absorb_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A,
    input ).

fof(cls_Int__absorb_0_0,plain,
    ! [T_a,V_A] :
      ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__absorb_0]) ).

cnf(cls_n__not__Suc__n_0,axiom,
    V_n != c_Suc(V_n),
    input ).

fof(cls_n__not__Suc__n_0_0,plain,
    ! [V_n] :
      ( V_n != c_Suc(V_n)
      | $false ),
    inference(orientation,[status(thm)],[cls_n__not__Suc__n_0]) ).

cnf(cls_vimage__UNIV_0,axiom,
    c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_vimage__UNIV_0_0,plain,
    ! [T_a,T_b,V_f] :
      ( c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__UNIV_0]) ).

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

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

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

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

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

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

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

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

cnf(cls_Int__UNIV__left_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B,
    input ).

fof(cls_Int__UNIV__left_0_0,plain,
    ! [T_a,V_B] :
      ( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__UNIV__left_0]) ).

cnf(cls_Int__UNIV__right_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A,
    input ).

fof(cls_Int__UNIV__right_0_0,plain,
    ! [T_a,V_A] :
      ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__UNIV__right_0]) ).

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

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

cnf(cls_image__vimage__eq_0,axiom,
    c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_image__vimage__eq_0_0,plain,
    ! [T_a,T_b,V_A,V_f] :
      ( c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_image__vimage__eq_0]) ).

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

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

cnf(cls_image__id_0,axiom,
    c_Set_Oimage(c_Fun_Oid(T_a),V_Y,T_a,T_a) = V_Y,
    input ).

fof(cls_image__id_0_0,plain,
    ! [T_a,V_Y] :
      ( c_Set_Oimage(c_Fun_Oid(T_a),V_Y,T_a,T_a) = V_Y
      | $false ),
    inference(orientation,[status(thm)],[cls_image__id_0]) ).

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

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

cnf(cls_image__ident_0,axiom,
    c_Set_Oimage(c_COMBI(T_a),V_Y,T_a,T_a) = V_Y,
    input ).

fof(cls_image__ident_0_0,plain,
    ! [T_a,V_Y] :
      ( c_Set_Oimage(c_COMBI(T_a),V_Y,T_a,T_a) = V_Y
      | $false ),
    inference(orientation,[status(thm)],[cls_image__ident_0]) ).

cnf(cls_image__restrict__eq_0,axiom,
    c_Set_Oimage(c_FuncSet_Orestrict(V_f,V_A,T_b,T_a),V_A,T_b,T_a) = c_Set_Oimage(V_f,V_A,T_b,T_a),
    input ).

fof(cls_image__restrict__eq_0_0,plain,
    ! [T_a,T_b,V_A,V_f] :
      ( c_Set_Oimage(c_FuncSet_Orestrict(V_f,V_A,T_b,T_a),V_A,T_b,T_a) = c_Set_Oimage(V_f,V_A,T_b,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_image__restrict__eq_0]) ).

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

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

cnf(cls_image__image_0,axiom,
    c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a) = c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a),
    input ).

fof(cls_image__image_0_0,plain,
    ! [T_a,T_b,T_c,V_A,V_f,V_g] :
      ( c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a) = c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_image__image_0]) ).

cnf(cls_image__compose_0,axiom,
    c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),V_r,T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_r,T_b,T_c),T_c,T_a),
    input ).

fof(cls_image__compose_0_0,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_r] :
      ( c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),V_r,T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_r,T_b,T_c),T_c,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_image__compose_0]) ).

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

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

cnf(cls_card__gt__0__iff_0,axiom,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_nat),
    input ).

fof(cls_card__gt__0__iff_0_0,plain,
    ! [T_a] :
      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_card__gt__0__iff_0]) ).

cnf(cls_le0_0,axiom,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat),
    input ).

fof(cls_le0_0_0,plain,
    ! [V_n] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_le0_0]) ).

cnf(cls_not__less0_0,axiom,
    ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    input ).

fof(cls_not__less0_0_0,plain,
    ! [V_n] :
      ( ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_not__less0_0]) ).

cnf(cls_gr__implies__not0_0,axiom,
    ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    input ).

fof(cls_gr__implies__not0_0_0,plain,
    ! [V_m] :
      ( ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_gr__implies__not0_0]) ).

cnf(cls_nat_Osimps_I2_J_0,axiom,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H),
    input ).

fof(cls_nat_Osimps_I2_J_0_0,plain,
    ! [V_nat_H] :
      ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H)
      | $false ),
    inference(orientation,[status(thm)],[cls_nat_Osimps_I2_J_0]) ).

cnf(cls_Zero__neq__Suc_0,axiom,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m),
    input ).

fof(cls_Zero__neq__Suc_0_0,plain,
    ! [V_m] :
      ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m)
      | $false ),
    inference(orientation,[status(thm)],[cls_Zero__neq__Suc_0]) ).

cnf(cls_nat_Osimps_I3_J_0,axiom,
    c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat),
    input ).

fof(cls_nat_Osimps_I3_J_0_0,plain,
    ! [V_nat_H] :
      ( c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_nat_Osimps_I3_J_0]) ).

cnf(cls_Suc__neq__Zero_0,axiom,
    c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat),
    input ).

fof(cls_Suc__neq__Zero_0_0,plain,
    ! [V_m] :
      ( c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Suc__neq__Zero_0]) ).

cnf(cls_neq0__conv_1,axiom,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    input ).

fof(cls_neq0__conv_1_0,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[cls_neq0__conv_1]) ).

cnf(cls_le__0__eq_1,axiom,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    input ).

fof(cls_le__0__eq_1_0,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[cls_le__0__eq_1]) ).

cnf(cls_vimage__Int_0,axiom,
    c_Set_Ovimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_vimage__Int_0_0,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( c_Set_Ovimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__Int_0]) ).

cnf(cls_Suc__n__not__n_0,axiom,
    c_Suc(V_n) != V_n,
    input ).

fof(cls_Suc__n__not__n_0_0,plain,
    ! [V_n] :
      ( c_Suc(V_n) != V_n
      | $false ),
    inference(orientation,[status(thm)],[cls_Suc__n__not__n_0]) ).

cnf(cls_Int__left__absorb_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Int__left__absorb_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__left__absorb_0]) ).

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

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

cnf(cls_o__def_0,axiom,
    hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x) = hAPP(V_f,hAPP(V_g,v_x)),
    input ).

fof(cls_o__def_0_0,plain,
    ! [T_b,T_c,V_f,V_g] :
      ( hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x) = hAPP(V_f,hAPP(V_g,v_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_o__def_0]) ).

cnf(cls_Suc__n__not__le__n_0,axiom,
    ~ c_lessequals(c_Suc(V_n),V_n,tc_nat),
    input ).

fof(cls_Suc__n__not__le__n_0_0,plain,
    ! [V_n] :
      ( ~ c_lessequals(c_Suc(V_n),V_n,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_Suc__n__not__le__n_0]) ).

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

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

cnf(cls_Un__Int__distrib2_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Un__Int__distrib2_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__Int__distrib2_0]) ).

cnf(cls_Un__Int__distrib_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Un__Int__distrib_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__Int__distrib_0]) ).

cnf(cls_o__assoc_0,axiom,
    c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a) = c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a),
    input ).

fof(cls_o__assoc_0_0,plain,
    ! [T_a,T_b,T_c,T_d,V_f,V_g,V_h] :
      ( c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a) = c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_o__assoc_0]) ).

cnf(cls_Int__lower2_0,axiom,
    c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Int__lower2_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__lower2_0]) ).

cnf(cls_Int__lower1_0,axiom,
    c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Int__lower1_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__lower1_0]) ).

cnf(cls_Diff__UNIV_0,axiom,
    c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__UNIV_0_0,plain,
    ! [T_a,V_A] :
      ( c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__UNIV_0]) ).

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

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

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

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

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

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

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

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

cnf(cls_subset__empty_1,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

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

cnf(cls_bot__empty__eq_0,axiom,
    hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),
    input ).

fof(cls_bot__empty__eq_0_0,plain,
    ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a)
    | $false ),
    inference(orientation,[status(thm)],[cls_bot__empty__eq_0]) ).

cnf(cls_less__Suc__eq_2,axiom,
    c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat),
    input ).

fof(cls_less__Suc__eq_2_0,plain,
    ! [V_x] :
      ( c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_less__Suc__eq_2]) ).

cnf(cls_lessI_0,axiom,
    c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat),
    input ).

fof(cls_lessI_0_0,plain,
    ! [V_n] :
      ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_lessI_0]) ).

cnf(cls_Un__Diff__Int_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A,
    input ).

fof(cls_Un__Diff__Int_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__Diff__Int_0]) ).

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

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

cnf(cls_id__apply_0,axiom,
    hAPP(c_Fun_Oid(T_a),V_x) = V_x,
    input ).

fof(cls_id__apply_0_0,plain,
    ! [T_a,V_x] :
      ( hAPP(c_Fun_Oid(T_a),V_x) = V_x
      | $false ),
    inference(orientation,[status(thm)],[cls_id__apply_0]) ).

cnf(cls_Diff__Compl_0,axiom,
    c_HOL_Ominus__class_Ominus(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__Compl_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_HOL_Ominus__class_Ominus(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__Compl_0]) ).

cnf(cls_vimage__Un_0,axiom,
    c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_vimage__Un_0_0,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__Un_0]) ).

cnf(cls_Diff__disjoint_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__disjoint_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__disjoint_0]) ).

cnf(cls_Compl__Un_0,axiom,
    hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Compl__Un_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Compl__Un_0]) ).

cnf(cls_surj__id_0,axiom,
    c_Fun_Osurj(c_Fun_Oid(T_a),T_a,T_a),
    input ).

fof(cls_surj__id_0_0,plain,
    ! [T_a] :
      ( c_Fun_Osurj(c_Fun_Oid(T_a),T_a,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_surj__id_0]) ).

cnf(cls_Un__left__absorb_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),
    input ).

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

cnf(cls_le__Suc__eq_2,axiom,
    c_lessequals(c_Suc(V_n),c_Suc(V_n),tc_nat),
    input ).

fof(cls_le__Suc__eq_2_0,plain,
    ! [V_n] :
      ( c_lessequals(c_Suc(V_n),c_Suc(V_n),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_le__Suc__eq_2]) ).

cnf(cls_insert__is__Un_0,axiom,
    c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_insert__is__Un_0_0,plain,
    ! [T_a,V_A,V_a] :
      ( c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_insert__is__Un_0]) ).

cnf(cls_Compl__Int_0,axiom,
    hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Compl__Int_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Compl__Int_0]) ).

cnf(cls_Un__commute_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),
    input ).

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

cnf(cls_vimage__compose_0,axiom,
    c_Set_Ovimage(c_Fun_Ocomp(V_g,V_f,T_c,T_b,T_a),V_x,T_a,T_b) = c_Set_Ovimage(V_f,c_Set_Ovimage(V_g,V_x,T_c,T_b),T_a,T_c),
    input ).

fof(cls_vimage__compose_0_0,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_x] :
      ( c_Set_Ovimage(c_Fun_Ocomp(V_g,V_f,T_c,T_b,T_a),V_x,T_a,T_b) = c_Set_Ovimage(V_f,c_Set_Ovimage(V_g,V_x,T_c,T_b),T_a,T_c)
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__compose_0]) ).

cnf(cls_Un__Diff_0,axiom,
    c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Un__Diff_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__Diff_0]) ).

cnf(cls_vimage__id_0,axiom,
    c_Set_Ovimage(c_Fun_Oid(T_a),V_A,T_a,T_a) = V_A,
    input ).

fof(cls_vimage__id_0_0,plain,
    ! [T_a,V_A] :
      ( c_Set_Ovimage(c_Fun_Oid(T_a),V_A,T_a,T_a) = V_A
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__id_0]) ).

cnf(cls_Un__Diff__cancel_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Un__Diff__cancel_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__Diff__cancel_0]) ).

cnf(cls_Un__Diff__cancel2_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Un__Diff__cancel2_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__Diff__cancel2_0]) ).

cnf(cls_finite__lessThan_0,axiom,
    c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OlessThan(V_k,tc_nat),tc_nat),
    input ).

fof(cls_finite__lessThan_0_0,plain,
    ! [V_k] :
      ( c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OlessThan(V_k,tc_nat),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_finite__lessThan_0]) ).

cnf(cls_less__not__refl_0,axiom,
    ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat),
    input ).

fof(cls_less__not__refl_0_0,plain,
    ! [V_n] :
      ( ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_less__not__refl_0]) ).

cnf(cls_nat__less__le_1,axiom,
    ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat),
    input ).

fof(cls_nat__less__le_1_0,plain,
    ! [V_x] :
      ( ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_nat__less__le_1]) ).

cnf(cls_Diff__Int2_0,axiom,
    c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__Int2_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__Int2_0]) ).

cnf(cls_Diff__Int__distrib2_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__Int__distrib2_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__Int__distrib2_0]) ).

cnf(cls_Diff__Int__distrib_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(V_C,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__Int__distrib_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( c_Lattices_Olower__semilattice__class_Oinf(V_C,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__Int__distrib_0]) ).

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

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

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

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

cnf(cls_lessThan__0_0,axiom,
    c_SetInterval_Oord__class_OlessThan(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),
    input ).

fof(cls_lessThan__0_0_0,plain,
    ( c_SetInterval_Oord__class_OlessThan(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))
    | $false ),
    inference(orientation,[status(thm)],[cls_lessThan__0_0]) ).

cnf(cls_empty__Diff_0,axiom,
    c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_empty__Diff_0_0,plain,
    ! [T_a,V_A] :
      ( c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_empty__Diff_0]) ).

cnf(cls_Un__empty__right_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A,
    input ).

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

cnf(cls_Un__empty__left_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B,
    input ).

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

cnf(cls_id__def_0,axiom,
    hAPP(c_Fun_Oid(t_a),v_x) = v_x,
    input ).

fof(cls_id__def_0_0,plain,
    ( hAPP(c_Fun_Oid(t_a),v_x) = v_x
    | $false ),
    inference(orientation,[status(thm)],[cls_id__def_0]) ).

cnf(cls_Int__left__commute_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Int__left__commute_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__left__commute_0]) ).

cnf(cls_Int__assoc_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Int__assoc_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__assoc_0]) ).

cnf(cls_vimage__ident_0,axiom,
    c_Set_Ovimage(c_COMBI(T_a),V_Y,T_a,T_a) = V_Y,
    input ).

fof(cls_vimage__ident_0_0,plain,
    ! [T_a,V_Y] :
      ( c_Set_Ovimage(c_COMBI(T_a),V_Y,T_a,T_a) = V_Y
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__ident_0]) ).

cnf(cls_less__Suc0_1,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
    input ).

fof(cls_less__Suc0_1_0,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[cls_less__Suc0_1]) ).

cnf(cls_Compl__eq__Diff__UNIV_0,axiom,
    hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A) = c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Compl__eq__Diff__UNIV_0_0,plain,
    ! [T_a,V_A] :
      ( hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A) = c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Compl__eq__Diff__UNIV_0]) ).

cnf(cls_o__eq__dest__lhs_0,axiom,
    hAPP(V_a,hAPP(V_b,V_v)) = hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v),
    input ).

fof(cls_o__eq__dest__lhs_0_0,plain,
    ! [T_a,T_b,T_c,V_a,V_b,V_v] :
      ( hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) = hAPP(V_a,hAPP(V_b,V_v))
      | $false ),
    inference(orientation,[status(thm)],[cls_o__eq__dest__lhs_0]) ).

cnf(cls_o__apply_0,axiom,
    hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x)),
    input ).

fof(cls_o__apply_0_0,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_x] :
      ( hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_o__apply_0]) ).

cnf(cls_Diff__cancel_0,axiom,
    c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__cancel_0_0,plain,
    ! [T_a,V_A] :
      ( c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__cancel_0]) ).

cnf(cls_Diff__empty_0,axiom,
    c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A,
    input ).

fof(cls_Diff__empty_0_0,plain,
    ! [T_a,V_A] :
      ( c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__empty_0]) ).

cnf(cls_image__Int__subset_0,axiom,
    c_lessequals(c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_image__Int__subset_0_0,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( c_lessequals(c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_image__Int__subset_0]) ).

cnf(cls_finite_OemptyI_0,axiom,
    c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),
    input ).

fof(cls_finite_OemptyI_0_0,plain,
    ! [T_a] :
      ( c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_finite_OemptyI_0]) ).

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

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

cnf(cls_Int__empty__right_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Int__empty__right_0_0,plain,
    ! [T_a,V_A] :
      ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__empty__right_0]) ).

cnf(cls_Int__empty__left_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Int__empty__left_0_0,plain,
    ! [T_a,V_B] :
      ( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__empty__left_0]) ).

cnf(cls_vimage__Compl_0,axiom,
    c_Set_Ovimage(V_f,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_b,tc_bool)),V_A),T_a,T_b) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_A,T_a,T_b)),
    input ).

fof(cls_vimage__Compl_0_0,plain,
    ! [T_a,T_b,V_A,V_f] :
      ( c_Set_Ovimage(V_f,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_b,tc_bool)),V_A),T_a,T_b) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_A,T_a,T_b))
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__Compl_0]) ).

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

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

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

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

cnf(cls_bij__id_0,axiom,
    c_Fun_Obij(c_Fun_Oid(T_a),T_a,T_a),
    input ).

fof(cls_bij__id_0_0,plain,
    ! [T_a] :
      ( c_Fun_Obij(c_Fun_Oid(T_a),T_a,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_bij__id_0]) ).

cnf(cls_Un__Int__crazy_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Un__Int__crazy_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Un__Int__crazy_0]) ).

cnf(cls_insert__Diff__single_0,axiom,
    c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a),
    input ).

fof(cls_insert__Diff__single_0_0,plain,
    ! [T_a,V_A,V_a] :
      ( c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_insert__Diff__single_0]) ).

cnf(cls_Diff__subset_0,axiom,
    c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__subset_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__subset_0]) ).

cnf(cls_Int__commute_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Int__commute_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__commute_0]) ).

cnf(cls_Un__upper1_0,axiom,
    c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

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

cnf(cls_Un__upper2_0,axiom,
    c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

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

cnf(cls_gr0__conv__Suc_1,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat),
    input ).

fof(cls_gr0__conv__Suc_1_0,plain,
    ! [V_x] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_gr0__conv__Suc_1]) ).

cnf(cls_zero__less__Suc_0,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat),
    input ).

fof(cls_zero__less__Suc_0_0,plain,
    ! [V_n] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_zero__less__Suc_0]) ).

cnf(cls_Un__assoc_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

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

cnf(cls_Un__left__commute_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

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

cnf(cls_map__map_0,axiom,
    c_List_Omap(V_f,c_List_Omap(V_g,V_xs,T_c,T_b),T_b,T_a) = c_List_Omap(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_xs,T_c,T_a),
    input ).

fof(cls_map__map_0_0,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_xs] :
      ( c_List_Omap(V_f,c_List_Omap(V_g,V_xs,T_c,T_b),T_b,T_a) = c_List_Omap(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_xs,T_c,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_map__map_0]) ).

cnf(cls_image__diff__subset_0,axiom,
    c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_image__diff__subset_0_0,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_image__diff__subset_0]) ).

cnf(cls_Diff__eq_0,axiom,
    c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__eq_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__eq_0]) ).

cnf(cls_doubleton__eq__iff_4,axiom,
    c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),
    input ).

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

cnf(cls_Diff__idemp_0,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__idemp_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__idemp_0]) ).

cnf(cls_COMBI__def_0,axiom,
    hAPP(c_COMBI(T_a),V_P) = V_P,
    input ).

fof(cls_COMBI__def_0_0,plain,
    ! [T_a,V_P] :
      ( hAPP(c_COMBI(T_a),V_P) = V_P
      | $false ),
    inference(orientation,[status(thm)],[cls_COMBI__def_0]) ).

cnf(cls_COMBB__def_0,axiom,
    hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)),
    input ).

fof(cls_COMBB__def_0_0,plain,
    ! [T_a,T_b,T_c,V_P,V_Q,V_R] :
      ( hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R))
      | $false ),
    inference(orientation,[status(thm)],[cls_COMBB__def_0]) ).

cnf(cls_insert__commute_0,axiom,
    c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a),
    input ).

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

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

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

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

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

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

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

cnf(cls_inv__id_0,axiom,
    c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),c_Fun_Oid(T_a),T_a,T_a) = c_Fun_Oid(T_a),
    input ).

fof(cls_inv__id_0_0,plain,
    ! [T_a] :
      ( c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),c_Fun_Oid(T_a),T_a,T_a) = c_Fun_Oid(T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_inv__id_0]) ).

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

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

cnf(cls_id__o_0,axiom,
    c_Fun_Ocomp(c_Fun_Oid(T_b),V_g,T_b,T_b,T_a) = V_g,
    input ).

fof(cls_id__o_0_0,plain,
    ! [T_a,T_b,V_g] :
      ( c_Fun_Ocomp(c_Fun_Oid(T_b),V_g,T_b,T_b,T_a) = V_g
      | $false ),
    inference(orientation,[status(thm)],[cls_id__o_0]) ).

cnf(cls_o__id_0,axiom,
    c_Fun_Ocomp(V_f,c_Fun_Oid(T_a),T_a,T_b,T_a) = V_f,
    input ).

fof(cls_o__id_0_0,plain,
    ! [T_a,T_b,V_f] :
      ( c_Fun_Ocomp(V_f,c_Fun_Oid(T_a),T_a,T_b,T_a) = V_f
      | $false ),
    inference(orientation,[status(thm)],[cls_o__id_0]) ).

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

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

cnf(cls_insert__absorb2_0,axiom,
    c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a),
    input ).

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

cnf(cls_insert__inter__insert_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_A,T_a),c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a),
    input ).

fof(cls_insert__inter__insert_0_0,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_A,T_a),c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_insert__inter__insert_0]) ).

cnf(cls_vimage__singleton__eq_1,axiom,
    hBOOL(c_in(V_a,c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a),T_aa)),
    input ).

fof(cls_vimage__singleton__eq_1_0,plain,
    ! [T_a,T_aa,V_a,V_f] :
      ( hBOOL(c_in(V_a,c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a),T_aa))
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__singleton__eq_1]) ).

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

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

cnf(cls_Diff__insert2_0,axiom,
    c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__insert2_0_0,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__insert2_0]) ).

cnf(cls_Diff__insert_0,axiom,
    c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Diff__insert_0_0,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Diff__insert_0]) ).

cnf(cls_Compl__Diff__eq_0,axiom,
    hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),V_B,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Compl__Diff__eq_0_0,plain,
    ! [T_a,V_A,V_B] :
      ( hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),V_B,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Compl__Diff__eq_0]) ).

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

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

cnf(cls_image__vimage__subset_0,axiom,
    c_lessequals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool)),
    input ).

fof(cls_image__vimage__subset_0_0,plain,
    ! [T_a,T_b,V_A,V_f] :
      ( c_lessequals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_image__vimage__subset_0]) ).

cnf(cls_vimage__Diff_0,axiom,
    c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_vimage__Diff_0_0,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_vimage__Diff_0]) ).

cnf(cls_Un__insert__right_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a),
    input ).

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

cnf(cls_Un__insert__left_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a),
    input ).

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

cnf(cls_Compl__disjoint2_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Compl__disjoint2_0_0,plain,
    ! [T_a,V_A] :
      ( c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Compl__disjoint2_0]) ).

cnf(cls_Compl__disjoint_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Compl__disjoint_0_0,plain,
    ! [T_a,V_A] :
      ( c_Lattices_Olower__semilattice__class_Oinf(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Compl__disjoint_0]) ).

cnf(cls_Int__Un__distrib2_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Int__Un__distrib2_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__Un__distrib2_0]) ).

cnf(cls_Int__Un__distrib_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),
    input ).

fof(cls_Int__Un__distrib_0_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
      | $false ),
    inference(orientation,[status(thm)],[cls_Int__Un__distrib_0]) ).

fof(def_lhs_atom1,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom1(V_C,V_B,V_A,T_a)
    <=> c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom1(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__Un__distrib_0_0,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom2(V_C,V_B,V_A,T_a)
    <=> c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_1,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom2(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__Un__distrib2_0_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ! [V_A,T_a] :
      ( lhs_atom3(V_A,T_a)
    <=> c_Lattices_Olower__semilattice__class_Oinf(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_2,plain,
    ! [T_a,V_A] :
      ( lhs_atom3(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Compl__disjoint_0_0,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ! [V_A,T_a] :
      ( lhs_atom4(V_A,T_a)
    <=> c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_3,plain,
    ! [T_a,V_A] :
      ( lhs_atom4(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Compl__disjoint2_0_0,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ! [V_a,V_C,V_B,T_a] :
      ( lhs_atom5(V_a,V_C,V_B,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_4,plain,
    ! [T_a,V_B,V_C,V_a] :
      ( lhs_atom5(V_a,V_C,V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__insert__left_0_0,def_lhs_atom5]) ).

fof(def_lhs_atom6,axiom,
    ! [V_a,V_B,V_A,T_a] :
      ( lhs_atom6(V_a,V_B,V_A,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_5,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( lhs_atom6(V_a,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__insert__right_0_0,def_lhs_atom6]) ).

fof(def_lhs_atom7,axiom,
    ! [V_f,V_B,V_A,T_b,T_a] :
      ( lhs_atom7(V_f,V_B,V_A,T_b,T_a)
    <=> c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_6,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( lhs_atom7(V_f,V_B,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__Diff_0_0,def_lhs_atom7]) ).

fof(def_lhs_atom8,axiom,
    ! [V_f,V_A,T_b,T_a] :
      ( lhs_atom8(V_f,V_A,T_b,T_a)
    <=> c_lessequals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_7,plain,
    ! [T_a,T_b,V_A,V_f] :
      ( lhs_atom8(V_f,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__vimage__subset_0_0,def_lhs_atom8]) ).

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

fof(to_be_clausified_8,plain,
    ! [T_a,V_A] :
      ( lhs_atom9(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_empty__subsetI_0_0,def_lhs_atom9]) ).

fof(def_lhs_atom10,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom10(V_B,V_A,T_a)
    <=> hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),V_B,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_9,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom10(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Compl__Diff__eq_0_0,def_lhs_atom10]) ).

fof(def_lhs_atom11,axiom,
    ! [V_a,V_B,V_A,T_a] :
      ( lhs_atom11(V_a,V_B,V_A,T_a)
    <=> c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_10,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( lhs_atom11(V_a,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__insert_0_0,def_lhs_atom11]) ).

fof(def_lhs_atom12,axiom,
    ! [V_a,V_B,V_A,T_a] :
      ( lhs_atom12(V_a,V_B,V_A,T_a)
    <=> c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_11,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( lhs_atom12(V_a,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__insert2_0_0,def_lhs_atom12]) ).

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

fof(to_be_clausified_12,plain,
    ! [T_a,V_A,V_a] :
      ( lhs_atom13(V_a,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__not__empty_0_0,def_lhs_atom13]) ).

fof(def_lhs_atom14,axiom,
    ! [V_f,V_a,T_aa,T_a] :
      ( lhs_atom14(V_f,V_a,T_aa,T_a)
    <=> hBOOL(c_in(V_a,c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a),T_aa)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_13,plain,
    ! [T_a,T_aa,V_a,V_f] :
      ( lhs_atom14(V_f,V_a,T_aa,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__singleton__eq_1_0,def_lhs_atom14]) ).

fof(def_lhs_atom15,axiom,
    ! [V_a,V_B,V_A,T_a] :
      ( lhs_atom15(V_a,V_B,V_A,T_a)
    <=> c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_A,T_a),c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_14,plain,
    ! [T_a,V_A,V_B,V_a] :
      ( lhs_atom15(V_a,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__inter__insert_0_0,def_lhs_atom15]) ).

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

fof(to_be_clausified_15,plain,
    ! [T_a,V_A,V_x] :
      ( lhs_atom16(V_x,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__absorb2_0_0,def_lhs_atom16]) ).

fof(def_lhs_atom17,axiom,
    ! [T_a] :
      ( lhs_atom17(T_a)
    <=> c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_16,plain,
    ! [T_a] :
      ( lhs_atom17(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_subset__Compl__self__eq_1_0,def_lhs_atom17]) ).

fof(def_lhs_atom18,axiom,
    ! [V_f,T_b,T_a] :
      ( lhs_atom18(V_f,T_b,T_a)
    <=> c_Fun_Ocomp(V_f,c_Fun_Oid(T_a),T_a,T_b,T_a) = V_f ),
    inference(definition,[],]) ).

fof(to_be_clausified_17,plain,
    ! [T_a,T_b,V_f] :
      ( lhs_atom18(V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_o__id_0_0,def_lhs_atom18]) ).

fof(def_lhs_atom19,axiom,
    ! [V_g,T_b,T_a] :
      ( lhs_atom19(V_g,T_b,T_a)
    <=> c_Fun_Ocomp(c_Fun_Oid(T_b),V_g,T_b,T_b,T_a) = V_g ),
    inference(definition,[],]) ).

fof(to_be_clausified_18,plain,
    ! [T_a,T_b,V_g] :
      ( lhs_atom19(V_g,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_id__o_0_0,def_lhs_atom19]) ).

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

fof(to_be_clausified_19,plain,
    ! [T_a,V_A] :
      ( lhs_atom20(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__absorb_0_0,def_lhs_atom20]) ).

fof(def_lhs_atom21,axiom,
    ! [T_a] :
      ( lhs_atom21(T_a)
    <=> c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),c_Fun_Oid(T_a),T_a,T_a) = c_Fun_Oid(T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_20,plain,
    ! [T_a] :
      ( lhs_atom21(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_inv__id_0_0,def_lhs_atom21]) ).

fof(def_lhs_atom22,axiom,
    ! [V_x,V_A,T_a] :
      ( lhs_atom22(V_x,V_A,T_a)
    <=> hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_21,plain,
    ! [T_a,V_A,V_x] :
      ( lhs_atom22(V_x,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__iff_1_0,def_lhs_atom22]) ).

fof(def_lhs_atom23,axiom,
    ! [V_a,V_B,T_a] :
      ( lhs_atom23(V_a,V_B,T_a)
    <=> hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_22,plain,
    ! [T_a,V_B,V_a] :
      ( lhs_atom23(V_a,V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insertI1_0_0,def_lhs_atom23]) ).

fof(def_lhs_atom24,axiom,
    ! [V_x,V_B,T_a] :
      ( lhs_atom24(V_x,V_B,T_a)
    <=> hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_23,plain,
    ! [T_a,V_B,V_x] :
      ( lhs_atom24(V_x,V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insertCI_1_0,def_lhs_atom24]) ).

fof(def_lhs_atom25,axiom,
    ! [V_y,V_x,V_A,T_a] :
      ( lhs_atom25(V_y,V_x,V_A,T_a)
    <=> c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_24,plain,
    ! [T_a,V_A,V_x,V_y] :
      ( lhs_atom25(V_y,V_x,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__commute_0_0,def_lhs_atom25]) ).

fof(def_lhs_atom26,axiom,
    ! [V_R,V_Q,V_P,T_c,T_b,T_a] :
      ( lhs_atom26(V_R,V_Q,V_P,T_c,T_b,T_a)
    <=> hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_25,plain,
    ! [T_a,T_b,T_c,V_P,V_Q,V_R] :
      ( lhs_atom26(V_R,V_Q,V_P,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_COMBB__def_0_0,def_lhs_atom26]) ).

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

fof(to_be_clausified_26,plain,
    ! [T_a,V_P] :
      ( lhs_atom27(V_P,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_COMBI__def_0_0,def_lhs_atom27]) ).

fof(def_lhs_atom28,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom28(V_B,V_A,T_a)
    <=> c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_27,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom28(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__idemp_0_0,def_lhs_atom28]) ).

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

fof(to_be_clausified_28,plain,
    ! [T_a,V_x,V_xa] :
      ( lhs_atom29(V_xa,V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_doubleton__eq__iff_4_0,def_lhs_atom29]) ).

fof(def_lhs_atom30,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom30(V_B,V_A,T_a)
    <=> c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_29,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom30(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__eq_0_0,def_lhs_atom30]) ).

fof(def_lhs_atom31,axiom,
    ! [V_f,V_B,V_A,T_b,T_a] :
      ( lhs_atom31(V_f,V_B,V_A,T_b,T_a)
    <=> c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_30,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( lhs_atom31(V_f,V_B,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__diff__subset_0_0,def_lhs_atom31]) ).

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

fof(to_be_clausified_31,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_xs] :
      ( lhs_atom32(V_xs,V_g,V_f,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_map__map_0_0,def_lhs_atom32]) ).

fof(def_lhs_atom33,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom33(V_C,V_B,V_A,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_32,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom33(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__left__commute_0_0,def_lhs_atom33]) ).

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

fof(to_be_clausified_33,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom34(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__assoc_0_0,def_lhs_atom34]) ).

fof(def_lhs_atom35,axiom,
    ! [V_n] :
      ( lhs_atom35(V_n)
    <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_34,plain,
    ! [V_n] :
      ( lhs_atom35(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_zero__less__Suc_0_0,def_lhs_atom35]) ).

fof(def_lhs_atom36,axiom,
    ! [V_x] :
      ( lhs_atom36(V_x)
    <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_35,plain,
    ! [V_x] :
      ( lhs_atom36(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_gr0__conv__Suc_1_0,def_lhs_atom36]) ).

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

fof(to_be_clausified_36,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom37(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__upper2_0_0,def_lhs_atom37]) ).

fof(def_lhs_atom38,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom38(V_B,V_A,T_a)
    <=> c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_37,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom38(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__upper1_0_0,def_lhs_atom38]) ).

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

fof(to_be_clausified_38,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom39(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__commute_0_0,def_lhs_atom39]) ).

fof(def_lhs_atom40,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom40(V_B,V_A,T_a)
    <=> c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_39,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom40(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__subset_0_0,def_lhs_atom40]) ).

fof(def_lhs_atom41,axiom,
    ! [V_a,V_A,T_a] :
      ( lhs_atom41(V_a,V_A,T_a)
    <=> c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_40,plain,
    ! [T_a,V_A,V_a] :
      ( lhs_atom41(V_a,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__Diff__single_0_0,def_lhs_atom41]) ).

fof(def_lhs_atom42,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom42(V_C,V_B,V_A,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_41,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom42(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__Int__crazy_0_0,def_lhs_atom42]) ).

fof(def_lhs_atom43,axiom,
    ! [T_a] :
      ( lhs_atom43(T_a)
    <=> c_Fun_Obij(c_Fun_Oid(T_a),T_a,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_42,plain,
    ! [T_a] :
      ( lhs_atom43(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_bij__id_0_0,def_lhs_atom43]) ).

fof(def_lhs_atom44,axiom,
    ! [V_A,T_a] :
      ( lhs_atom44(V_A,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_43,plain,
    ! [T_a,V_A] :
      ( lhs_atom44(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Compl__partition2_0_0,def_lhs_atom44]) ).

fof(def_lhs_atom45,axiom,
    ! [V_A,T_a] :
      ( lhs_atom45(V_A,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_44,plain,
    ! [T_a,V_A] :
      ( lhs_atom45(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Compl__partition_0_0,def_lhs_atom45]) ).

fof(def_lhs_atom46,axiom,
    ! [V_f,V_A,T_b,T_a] :
      ( lhs_atom46(V_f,V_A,T_b,T_a)
    <=> c_Set_Ovimage(V_f,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_b,tc_bool)),V_A),T_a,T_b) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_A,T_a,T_b)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_45,plain,
    ! [T_a,T_b,V_A,V_f] :
      ( lhs_atom46(V_f,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__Compl_0_0,def_lhs_atom46]) ).

fof(def_lhs_atom47,axiom,
    ! [V_B,T_a] :
      ( lhs_atom47(V_B,T_a)
    <=> c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_46,plain,
    ! [T_a,V_B] :
      ( lhs_atom47(V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__empty__left_0_0,def_lhs_atom47]) ).

fof(def_lhs_atom48,axiom,
    ! [V_A,T_a] :
      ( lhs_atom48(V_A,T_a)
    <=> c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_47,plain,
    ! [T_a,V_A] :
      ( lhs_atom48(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__empty__right_0_0,def_lhs_atom48]) ).

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

fof(to_be_clausified_48,plain,
    ! [T_a,V_B,V_a] :
      ( lhs_atom49(V_a,V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_subset__insertI_0_0,def_lhs_atom49]) ).

fof(def_lhs_atom50,axiom,
    ! [T_a] :
      ( lhs_atom50(T_a)
    <=> c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_49,plain,
    ! [T_a] :
      ( lhs_atom50(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_finite_OemptyI_0_0,def_lhs_atom50]) ).

fof(def_lhs_atom51,axiom,
    ! [V_f,V_B,V_A,T_b,T_a] :
      ( lhs_atom51(V_f,V_B,V_A,T_b,T_a)
    <=> c_lessequals(c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_50,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( lhs_atom51(V_f,V_B,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__Int__subset_0_0,def_lhs_atom51]) ).

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

fof(to_be_clausified_51,plain,
    ! [T_a,V_A] :
      ( lhs_atom52(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__empty_0_0,def_lhs_atom52]) ).

fof(def_lhs_atom53,axiom,
    ! [V_A,T_a] :
      ( lhs_atom53(V_A,T_a)
    <=> c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_52,plain,
    ! [T_a,V_A] :
      ( lhs_atom53(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__cancel_0_0,def_lhs_atom53]) ).

fof(def_lhs_atom54,axiom,
    ! [V_x,V_g,V_f,T_c,T_b,T_a] :
      ( lhs_atom54(V_x,V_g,V_f,T_c,T_b,T_a)
    <=> hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_53,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_x] :
      ( lhs_atom54(V_x,V_g,V_f,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_o__apply_0_0,def_lhs_atom54]) ).

fof(def_lhs_atom55,axiom,
    ! [V_v,V_b,V_a,T_c,T_b,T_a] :
      ( lhs_atom55(V_v,V_b,V_a,T_c,T_b,T_a)
    <=> hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) = hAPP(V_a,hAPP(V_b,V_v)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_54,plain,
    ! [T_a,T_b,T_c,V_a,V_b,V_v] :
      ( lhs_atom55(V_v,V_b,V_a,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_o__eq__dest__lhs_0_0,def_lhs_atom55]) ).

fof(def_lhs_atom56,axiom,
    ! [V_A,T_a] :
      ( lhs_atom56(V_A,T_a)
    <=> hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A) = c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_55,plain,
    ! [T_a,V_A] :
      ( lhs_atom56(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Compl__eq__Diff__UNIV_0_0,def_lhs_atom56]) ).

fof(def_lhs_atom57,axiom,
    ( lhs_atom57
  <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_56,plain,
    ( lhs_atom57
    | $false ),
    inference(fold_definition,[status(thm)],[cls_less__Suc0_1_0,def_lhs_atom57]) ).

fof(def_lhs_atom58,axiom,
    ! [V_Y,T_a] :
      ( lhs_atom58(V_Y,T_a)
    <=> c_Set_Ovimage(c_COMBI(T_a),V_Y,T_a,T_a) = V_Y ),
    inference(definition,[],]) ).

fof(to_be_clausified_57,plain,
    ! [T_a,V_Y] :
      ( lhs_atom58(V_Y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__ident_0_0,def_lhs_atom58]) ).

fof(def_lhs_atom59,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom59(V_C,V_B,V_A,T_a)
    <=> c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_58,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom59(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__assoc_0_0,def_lhs_atom59]) ).

fof(def_lhs_atom60,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom60(V_C,V_B,V_A,T_a)
    <=> c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_59,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom60(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__left__commute_0_0,def_lhs_atom60]) ).

fof(def_lhs_atom61,axiom,
    ( lhs_atom61
  <=> hAPP(c_Fun_Oid(t_a),v_x) = v_x ),
    inference(definition,[],]) ).

fof(to_be_clausified_60,plain,
    ( lhs_atom61
    | $false ),
    inference(fold_definition,[status(thm)],[cls_id__def_0_0,def_lhs_atom61]) ).

fof(def_lhs_atom62,axiom,
    ! [V_B,T_a] :
      ( lhs_atom62(V_B,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ),
    inference(definition,[],]) ).

fof(to_be_clausified_61,plain,
    ! [T_a,V_B] :
      ( lhs_atom62(V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__empty__left_0_0,def_lhs_atom62]) ).

fof(def_lhs_atom63,axiom,
    ! [V_A,T_a] :
      ( lhs_atom63(V_A,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ),
    inference(definition,[],]) ).

fof(to_be_clausified_62,plain,
    ! [T_a,V_A] :
      ( lhs_atom63(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__empty__right_0_0,def_lhs_atom63]) ).

fof(def_lhs_atom64,axiom,
    ! [V_A,T_a] :
      ( lhs_atom64(V_A,T_a)
    <=> c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_63,plain,
    ! [T_a,V_A] :
      ( lhs_atom64(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_empty__Diff_0_0,def_lhs_atom64]) ).

fof(def_lhs_atom65,axiom,
    ( lhs_atom65
  <=> c_SetInterval_Oord__class_OlessThan(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_64,plain,
    ( lhs_atom65
    | $false ),
    inference(fold_definition,[status(thm)],[cls_lessThan__0_0_0,def_lhs_atom65]) ).

fof(def_lhs_atom66,axiom,
    ! [T_a] :
      ( lhs_atom66(T_a)
    <=> hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_65,plain,
    ! [T_a] :
      ( lhs_atom66(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Compl__UNIV__eq_0_0,def_lhs_atom66]) ).

fof(def_lhs_atom67,axiom,
    ! [V_x,T_a] :
      ( lhs_atom67(V_x,T_a)
    <=> ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_66,plain,
    ! [T_a,V_x] :
      ( lhs_atom67(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_bot1E_0_0,def_lhs_atom67]) ).

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

fof(to_be_clausified_67,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom68(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__Int__distrib_0_0,def_lhs_atom68]) ).

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

fof(to_be_clausified_68,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom69(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__Int__distrib2_0_0,def_lhs_atom69]) ).

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

fof(to_be_clausified_69,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom70(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__Int2_0_0,def_lhs_atom70]) ).

fof(def_lhs_atom71,axiom,
    ! [V_x] :
      ( lhs_atom71(V_x)
    <=> ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_70,plain,
    ! [V_x] :
      ( lhs_atom71(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_nat__less__le_1_0,def_lhs_atom71]) ).

fof(def_lhs_atom72,axiom,
    ! [V_n] :
      ( lhs_atom72(V_n)
    <=> ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_71,plain,
    ! [V_n] :
      ( lhs_atom72(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_less__not__refl_0_0,def_lhs_atom72]) ).

fof(def_lhs_atom73,axiom,
    ! [V_k] :
      ( lhs_atom73(V_k)
    <=> c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OlessThan(V_k,tc_nat),tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_72,plain,
    ! [V_k] :
      ( lhs_atom73(V_k)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_finite__lessThan_0_0,def_lhs_atom73]) ).

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

fof(to_be_clausified_73,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom74(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__Diff__cancel2_0_0,def_lhs_atom74]) ).

fof(def_lhs_atom75,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom75(V_B,V_A,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_74,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom75(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__Diff__cancel_0_0,def_lhs_atom75]) ).

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

fof(to_be_clausified_75,plain,
    ! [T_a,V_A] :
      ( lhs_atom76(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__id_0_0,def_lhs_atom76]) ).

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

fof(to_be_clausified_76,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom77(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__Diff_0_0,def_lhs_atom77]) ).

fof(def_lhs_atom78,axiom,
    ! [V_x,V_g,V_f,T_c,T_b,T_a] :
      ( lhs_atom78(V_x,V_g,V_f,T_c,T_b,T_a)
    <=> c_Set_Ovimage(c_Fun_Ocomp(V_g,V_f,T_c,T_b,T_a),V_x,T_a,T_b) = c_Set_Ovimage(V_f,c_Set_Ovimage(V_g,V_x,T_c,T_b),T_a,T_c) ),
    inference(definition,[],]) ).

fof(to_be_clausified_77,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_x] :
      ( lhs_atom78(V_x,V_g,V_f,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__compose_0_0,def_lhs_atom78]) ).

fof(def_lhs_atom79,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom79(V_B,V_A,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_78,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom79(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__commute_0_0,def_lhs_atom79]) ).

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

fof(to_be_clausified_79,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom80(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Compl__Int_0_0,def_lhs_atom80]) ).

fof(def_lhs_atom81,axiom,
    ! [V_a,V_A,T_a] :
      ( lhs_atom81(V_a,V_A,T_a)
    <=> c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_80,plain,
    ! [T_a,V_A,V_a] :
      ( lhs_atom81(V_a,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__is__Un_0_0,def_lhs_atom81]) ).

fof(def_lhs_atom82,axiom,
    ! [V_n] :
      ( lhs_atom82(V_n)
    <=> c_lessequals(c_Suc(V_n),c_Suc(V_n),tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_81,plain,
    ! [V_n] :
      ( lhs_atom82(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_le__Suc__eq_2_0,def_lhs_atom82]) ).

fof(def_lhs_atom83,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom83(V_B,V_A,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_82,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom83(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__left__absorb_0_0,def_lhs_atom83]) ).

fof(def_lhs_atom84,axiom,
    ! [T_a] :
      ( lhs_atom84(T_a)
    <=> c_Fun_Osurj(c_Fun_Oid(T_a),T_a,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_83,plain,
    ! [T_a] :
      ( lhs_atom84(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_surj__id_0_0,def_lhs_atom84]) ).

fof(def_lhs_atom85,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom85(V_B,V_A,T_a)
    <=> hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool))) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_84,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom85(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Compl__Un_0_0,def_lhs_atom85]) ).

fof(def_lhs_atom86,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom86(V_B,V_A,T_a)
    <=> c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_85,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom86(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__disjoint_0_0,def_lhs_atom86]) ).

fof(def_lhs_atom87,axiom,
    ! [V_f,V_B,V_A,T_b,T_a] :
      ( lhs_atom87(V_f,V_B,V_A,T_b,T_a)
    <=> c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_86,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( lhs_atom87(V_f,V_B,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__Un_0_0,def_lhs_atom87]) ).

fof(def_lhs_atom88,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom88(V_B,V_A,T_a)
    <=> c_HOL_Ominus__class_Ominus(V_A,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_B),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_87,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom88(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__Compl_0_0,def_lhs_atom88]) ).

fof(def_lhs_atom89,axiom,
    ! [V_x,T_a] :
      ( lhs_atom89(V_x,T_a)
    <=> hAPP(c_Fun_Oid(T_a),V_x) = V_x ),
    inference(definition,[],]) ).

fof(to_be_clausified_88,plain,
    ! [T_a,V_x] :
      ( lhs_atom89(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_id__apply_0_0,def_lhs_atom89]) ).

fof(def_lhs_atom90,axiom,
    ! [V_A,T_a] :
      ( lhs_atom90(V_A,T_a)
    <=> hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),V_A)) = V_A ),
    inference(definition,[],]) ).

fof(to_be_clausified_89,plain,
    ! [T_a,V_A] :
      ( lhs_atom90(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_double__complement_0_0,def_lhs_atom90]) ).

fof(def_lhs_atom91,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom91(V_B,V_A,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ),
    inference(definition,[],]) ).

fof(to_be_clausified_90,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom91(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__Diff__Int_0_0,def_lhs_atom91]) ).

fof(def_lhs_atom92,axiom,
    ! [V_n] :
      ( lhs_atom92(V_n)
    <=> c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_91,plain,
    ! [V_n] :
      ( lhs_atom92(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_lessI_0_0,def_lhs_atom92]) ).

fof(def_lhs_atom93,axiom,
    ! [V_x] :
      ( lhs_atom93(V_x)
    <=> c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_92,plain,
    ! [V_x] :
      ( lhs_atom93(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_less__Suc__eq_2_0,def_lhs_atom93]) ).

fof(def_lhs_atom94,axiom,
    ( lhs_atom94
  <=> hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_93,plain,
    ( lhs_atom94
    | $false ),
    inference(fold_definition,[status(thm)],[cls_bot__empty__eq_0_0,def_lhs_atom94]) ).

fof(def_lhs_atom95,axiom,
    ! [T_a] :
      ( lhs_atom95(T_a)
    <=> c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_94,plain,
    ! [T_a] :
      ( lhs_atom95(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_subset__empty_1_0,def_lhs_atom95]) ).

fof(def_lhs_atom96,axiom,
    ! [V_a,V_A,T_a] :
      ( lhs_atom96(V_a,V_A,T_a)
    <=> c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_95,plain,
    ! [T_a,V_A,V_a] :
      ( lhs_atom96(V_a,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_empty__not__insert_0_0,def_lhs_atom96]) ).

fof(def_lhs_atom97,axiom,
    ! [V_a,T_a] :
      ( lhs_atom97(V_a,T_a)
    <=> ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_96,plain,
    ! [T_a,V_a] :
      ( lhs_atom97(V_a,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_emptyE_0_0,def_lhs_atom97]) ).

fof(def_lhs_atom98,axiom,
    ! [V_c,T_a] :
      ( lhs_atom98(V_c,T_a)
    <=> ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_97,plain,
    ! [T_a,V_c] :
      ( lhs_atom98(V_c,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_empty__iff_0_0,def_lhs_atom98]) ).

fof(def_lhs_atom99,axiom,
    ! [V_x,T_a] :
      ( lhs_atom99(V_x,T_a)
    <=> ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_98,plain,
    ! [T_a,V_x] :
      ( lhs_atom99(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ex__in__conv_0_0,def_lhs_atom99]) ).

fof(def_lhs_atom100,axiom,
    ! [V_A,T_a] :
      ( lhs_atom100(V_A,T_a)
    <=> c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_99,plain,
    ! [T_a,V_A] :
      ( lhs_atom100(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__UNIV_0_0,def_lhs_atom100]) ).

fof(def_lhs_atom101,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom101(V_B,V_A,T_a)
    <=> c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_100,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom101(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__lower1_0_0,def_lhs_atom101]) ).

fof(def_lhs_atom102,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom102(V_B,V_A,T_a)
    <=> c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_101,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom102(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__lower2_0_0,def_lhs_atom102]) ).

fof(def_lhs_atom103,axiom,
    ! [V_h,V_g,V_f,T_d,T_c,T_b,T_a] :
      ( lhs_atom103(V_h,V_g,V_f,T_d,T_c,T_b,T_a)
    <=> c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a) = c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_102,plain,
    ! [T_a,T_b,T_c,T_d,V_f,V_g,V_h] :
      ( lhs_atom103(V_h,V_g,V_f,T_d,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_o__assoc_0_0,def_lhs_atom103]) ).

fof(def_lhs_atom104,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom104(V_C,V_B,V_A,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_103,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom104(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__Int__distrib_0_0,def_lhs_atom104]) ).

fof(def_lhs_atom105,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom105(V_C,V_B,V_A,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_104,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom105(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__Int__distrib2_0_0,def_lhs_atom105]) ).

fof(def_lhs_atom106,axiom,
    ! [V_x,V_A,T_a] :
      ( lhs_atom106(V_x,V_A,T_a)
    <=> hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_105,plain,
    ! [T_a,V_A,V_x] :
      ( lhs_atom106(V_x,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_insert__code_1_0,def_lhs_atom106]) ).

fof(def_lhs_atom107,axiom,
    ! [V_n] :
      ( lhs_atom107(V_n)
    <=> ~ c_lessequals(c_Suc(V_n),V_n,tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_106,plain,
    ! [V_n] :
      ( lhs_atom107(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Suc__n__not__le__n_0_0,def_lhs_atom107]) ).

fof(def_lhs_atom108,axiom,
    ! [V_g,V_f,T_c,T_b] :
      ( lhs_atom108(V_g,V_f,T_c,T_b)
    <=> hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x) = hAPP(V_f,hAPP(V_g,v_x)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_107,plain,
    ! [T_b,T_c,V_f,V_g] :
      ( lhs_atom108(V_g,V_f,T_c,T_b)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_o__def_0_0,def_lhs_atom108]) ).

fof(def_lhs_atom109,axiom,
    ! [T_a] :
      ( lhs_atom109(T_a)
    <=> hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_108,plain,
    ! [T_a] :
      ( lhs_atom109(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Compl__empty__eq_0_0,def_lhs_atom109]) ).

fof(def_lhs_atom110,axiom,
    ! [V_B,V_A,T_a] :
      ( lhs_atom110(V_B,V_A,T_a)
    <=> c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_109,plain,
    ! [T_a,V_A,V_B] :
      ( lhs_atom110(V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__left__absorb_0_0,def_lhs_atom110]) ).

fof(def_lhs_atom111,axiom,
    ! [V_n] :
      ( lhs_atom111(V_n)
    <=> c_Suc(V_n) != V_n ),
    inference(definition,[],]) ).

fof(to_be_clausified_110,plain,
    ! [V_n] :
      ( lhs_atom111(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Suc__n__not__n_0_0,def_lhs_atom111]) ).

fof(def_lhs_atom112,axiom,
    ! [V_f,V_B,V_A,T_b,T_a] :
      ( lhs_atom112(V_f,V_B,V_A,T_b,T_a)
    <=> c_Set_Ovimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_111,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( lhs_atom112(V_f,V_B,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__Int_0_0,def_lhs_atom112]) ).

fof(def_lhs_atom113,axiom,
    ( lhs_atom113
  <=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_112,plain,
    ( lhs_atom113
    | $false ),
    inference(fold_definition,[status(thm)],[cls_le__0__eq_1_0,def_lhs_atom113]) ).

fof(def_lhs_atom114,axiom,
    ( lhs_atom114
  <=> ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_113,plain,
    ( lhs_atom114
    | $false ),
    inference(fold_definition,[status(thm)],[cls_neq0__conv_1_0,def_lhs_atom114]) ).

fof(def_lhs_atom115,axiom,
    ! [V_m] :
      ( lhs_atom115(V_m)
    <=> c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_114,plain,
    ! [V_m] :
      ( lhs_atom115(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Suc__neq__Zero_0_0,def_lhs_atom115]) ).

fof(def_lhs_atom116,axiom,
    ! [V_nat_H] :
      ( lhs_atom116(V_nat_H)
    <=> c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_115,plain,
    ! [V_nat_H] :
      ( lhs_atom116(V_nat_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_nat_Osimps_I3_J_0_0,def_lhs_atom116]) ).

fof(def_lhs_atom117,axiom,
    ! [V_m] :
      ( lhs_atom117(V_m)
    <=> c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ),
    inference(definition,[],]) ).

fof(to_be_clausified_116,plain,
    ! [V_m] :
      ( lhs_atom117(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Zero__neq__Suc_0_0,def_lhs_atom117]) ).

fof(def_lhs_atom118,axiom,
    ! [V_nat_H] :
      ( lhs_atom118(V_nat_H)
    <=> c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ),
    inference(definition,[],]) ).

fof(to_be_clausified_117,plain,
    ! [V_nat_H] :
      ( lhs_atom118(V_nat_H)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_nat_Osimps_I2_J_0_0,def_lhs_atom118]) ).

fof(def_lhs_atom119,axiom,
    ! [V_m] :
      ( lhs_atom119(V_m)
    <=> ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_118,plain,
    ! [V_m] :
      ( lhs_atom119(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_gr__implies__not0_0_0,def_lhs_atom119]) ).

fof(def_lhs_atom120,axiom,
    ! [V_n] :
      ( lhs_atom120(V_n)
    <=> ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_119,plain,
    ! [V_n] :
      ( lhs_atom120(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_not__less0_0_0,def_lhs_atom120]) ).

fof(def_lhs_atom121,axiom,
    ! [V_n] :
      ( lhs_atom121(V_n)
    <=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_120,plain,
    ! [V_n] :
      ( lhs_atom121(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_le0_0_0,def_lhs_atom121]) ).

fof(def_lhs_atom122,axiom,
    ! [T_a] :
      ( lhs_atom122(T_a)
    <=> ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_121,plain,
    ! [T_a] :
      ( lhs_atom122(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_card__gt__0__iff_0_0,def_lhs_atom122]) ).

fof(def_lhs_atom123,axiom,
    ! [V_f,V_B,V_A,T_b,T_a] :
      ( lhs_atom123(V_f,V_B,V_A,T_b,T_a)
    <=> c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_122,plain,
    ! [T_a,T_b,V_A,V_B,V_f] :
      ( lhs_atom123(V_f,V_B,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__Un_0_0,def_lhs_atom123]) ).

fof(def_lhs_atom124,axiom,
    ! [V_r,V_g,V_f,T_c,T_b,T_a] :
      ( lhs_atom124(V_r,V_g,V_f,T_c,T_b,T_a)
    <=> c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),V_r,T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_r,T_b,T_c),T_c,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_123,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_r] :
      ( lhs_atom124(V_r,V_g,V_f,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__compose_0_0,def_lhs_atom124]) ).

fof(def_lhs_atom125,axiom,
    ! [V_g,V_f,V_A,T_c,T_b,T_a] :
      ( lhs_atom125(V_g,V_f,V_A,T_c,T_b,T_a)
    <=> c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a) = c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_124,plain,
    ! [T_a,T_b,T_c,V_A,V_f,V_g] :
      ( lhs_atom125(V_g,V_f,V_A,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__image_0_0,def_lhs_atom125]) ).

fof(def_lhs_atom126,axiom,
    ! [V_f,V_a,V_B,T_b,T_a] :
      ( lhs_atom126(V_f,V_a,V_B,T_b,T_a)
    <=> c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_125,plain,
    ! [T_a,T_b,V_B,V_a,V_f] :
      ( lhs_atom126(V_f,V_a,V_B,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__insert_0_0,def_lhs_atom126]) ).

fof(def_lhs_atom127,axiom,
    ! [V_f,V_A,T_b,T_a] :
      ( lhs_atom127(V_f,V_A,T_b,T_a)
    <=> c_Set_Oimage(c_FuncSet_Orestrict(V_f,V_A,T_b,T_a),V_A,T_b,T_a) = c_Set_Oimage(V_f,V_A,T_b,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_126,plain,
    ! [T_a,T_b,V_A,V_f] :
      ( lhs_atom127(V_f,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__restrict__eq_0_0,def_lhs_atom127]) ).

fof(def_lhs_atom128,axiom,
    ! [V_Y,T_a] :
      ( lhs_atom128(V_Y,T_a)
    <=> c_Set_Oimage(c_COMBI(T_a),V_Y,T_a,T_a) = V_Y ),
    inference(definition,[],]) ).

fof(to_be_clausified_127,plain,
    ! [T_a,V_Y] :
      ( lhs_atom128(V_Y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__ident_0_0,def_lhs_atom128]) ).

fof(def_lhs_atom129,axiom,
    ! [V_f,T_b,T_a] :
      ( lhs_atom129(V_f,T_b,T_a)
    <=> c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_128,plain,
    ! [T_a,T_b,V_f] :
      ( lhs_atom129(V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__empty_0_0,def_lhs_atom129]) ).

fof(def_lhs_atom130,axiom,
    ! [V_Y,T_a] :
      ( lhs_atom130(V_Y,T_a)
    <=> c_Set_Oimage(c_Fun_Oid(T_a),V_Y,T_a,T_a) = V_Y ),
    inference(definition,[],]) ).

fof(to_be_clausified_129,plain,
    ! [T_a,V_Y] :
      ( lhs_atom130(V_Y,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__id_0_0,def_lhs_atom130]) ).

fof(to_be_clausified_130,plain,
    ! [T_a,T_b,V_f] :
      ( lhs_atom129(V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_empty__is__image_1_0,def_lhs_atom129]) ).

fof(def_lhs_atom131,axiom,
    ! [V_f,V_A,T_b,T_a] :
      ( lhs_atom131(V_f,V_A,T_b,T_a)
    <=> c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_131,plain,
    ! [T_a,T_b,V_A,V_f] :
      ( lhs_atom131(V_f,V_A,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__vimage__eq_0_0,def_lhs_atom131]) ).

fof(def_lhs_atom132,axiom,
    ! [V_A,T_a] :
      ( lhs_atom132(V_A,T_a)
    <=> c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_132,plain,
    ! [T_a,V_A] :
      ( lhs_atom132(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_subset__UNIV_0_0,def_lhs_atom132]) ).

fof(def_lhs_atom133,axiom,
    ! [V_A,T_a] :
      ( lhs_atom133(V_A,T_a)
    <=> c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ),
    inference(definition,[],]) ).

fof(to_be_clausified_133,plain,
    ! [T_a,V_A] :
      ( lhs_atom133(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__UNIV__right_0_0,def_lhs_atom133]) ).

fof(def_lhs_atom134,axiom,
    ! [V_B,T_a] :
      ( lhs_atom134(V_B,T_a)
    <=> c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ),
    inference(definition,[],]) ).

fof(to_be_clausified_134,plain,
    ! [T_a,V_B] :
      ( lhs_atom134(V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__UNIV__left_0_0,def_lhs_atom134]) ).

fof(def_lhs_atom135,axiom,
    ! [T_a] :
      ( lhs_atom135(T_a)
    <=> c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_135,plain,
    ! [T_a] :
      ( lhs_atom135(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_UNIV__not__empty_0_0,def_lhs_atom135]) ).

fof(def_lhs_atom136,axiom,
    ! [V_x,T_a] :
      ( lhs_atom136(V_x,T_a)
    <=> hBOOL(c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_136,plain,
    ! [T_a,V_x] :
      ( lhs_atom136(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_UNIV__I_0_0,def_lhs_atom136]) ).

fof(def_lhs_atom137,axiom,
    ! [V_A,T_a] :
      ( lhs_atom137(V_A,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_137,plain,
    ! [T_a,V_A] :
      ( lhs_atom137(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__UNIV__right_0_0,def_lhs_atom137]) ).

fof(def_lhs_atom138,axiom,
    ! [V_B,T_a] :
      ( lhs_atom138(V_B,T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_138,plain,
    ! [T_a,V_B] :
      ( lhs_atom138(V_B,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__UNIV__left_0_0,def_lhs_atom138]) ).

fof(def_lhs_atom139,axiom,
    ! [V_f,T_b,T_a] :
      ( lhs_atom139(V_f,T_b,T_a)
    <=> c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_139,plain,
    ! [T_a,T_b,V_f] :
      ( lhs_atom139(V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__UNIV_0_0,def_lhs_atom139]) ).

fof(def_lhs_atom140,axiom,
    ! [V_n] :
      ( lhs_atom140(V_n)
    <=> V_n != c_Suc(V_n) ),
    inference(definition,[],]) ).

fof(to_be_clausified_140,plain,
    ! [V_n] :
      ( lhs_atom140(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_n__not__Suc__n_0_0,def_lhs_atom140]) ).

fof(def_lhs_atom141,axiom,
    ! [V_A,T_a] :
      ( lhs_atom141(V_A,T_a)
    <=> c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ),
    inference(definition,[],]) ).

fof(to_be_clausified_141,plain,
    ! [T_a,V_A] :
      ( lhs_atom141(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__absorb_0_0,def_lhs_atom141]) ).

fof(def_lhs_atom142,axiom,
    ! [V_n] :
      ( lhs_atom142(V_n)
    <=> c_lessequals(V_n,V_n,tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_142,plain,
    ! [V_n] :
      ( lhs_atom142(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_le__refl_0_0,def_lhs_atom142]) ).

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

fof(to_be_clausified_143,plain,
    ! [V_x] :
      ( lhs_atom143(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_eq__imp__le_0_0,def_lhs_atom143]) ).

fof(def_lhs_atom144,axiom,
    ! [V_x,T_a] :
      ( lhs_atom144(V_x,T_a)
    <=> c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_144,plain,
    ! [T_a,V_x] :
      ( lhs_atom144(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_equalityE_0_0,def_lhs_atom144]) ).

fof(def_lhs_atom145,axiom,
    ! [V_A,T_a] :
      ( lhs_atom145(V_A,T_a)
    <=> c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_145,plain,
    ! [T_a,V_A] :
      ( lhs_atom145(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_subset__refl_0_0,def_lhs_atom145]) ).

fof(def_lhs_atom146,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom146(V_C,V_B,V_A,T_a)
    <=> c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_146,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom146(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__Un_0_0,def_lhs_atom146]) ).

fof(def_lhs_atom147,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom147(V_C,V_B,V_A,T_a)
    <=> c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_147,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom147(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Int__Diff_0_0,def_lhs_atom147]) ).

fof(def_lhs_atom148,axiom,
    ! [V_x,T_a] :
      ( lhs_atom148(V_x,T_a)
    <=> hBOOL(c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_148,plain,
    ! [T_a,V_x] :
      ( lhs_atom148(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_singleton__iff_1_0,def_lhs_atom148]) ).

fof(def_lhs_atom149,axiom,
    ! [V_f,V_a,V_B,T_b,T_a] :
      ( lhs_atom149(V_f,V_a,V_B,T_b,T_a)
    <=> c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_149,plain,
    ! [T_a,T_b,V_B,V_a,V_f] :
      ( lhs_atom149(V_f,V_a,V_B,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__insert_0_0,def_lhs_atom149]) ).

fof(def_lhs_atom150,axiom,
    ! [V_C,V_B,V_A,T_a] :
      ( lhs_atom150(V_C,V_B,V_A,T_a)
    <=> c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_150,plain,
    ! [T_a,V_A,V_B,V_C] :
      ( lhs_atom150(V_C,V_B,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Diff__Int_0_0,def_lhs_atom150]) ).

fof(def_lhs_atom151,axiom,
    ! [T_a] :
      ( lhs_atom151(T_a)
    <=> c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_151,plain,
    ! [T_a] :
      ( lhs_atom151(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Un__empty_2_0,def_lhs_atom151]) ).

fof(def_lhs_atom152,axiom,
    ! [V_f,T_b,T_a] :
      ( lhs_atom152(V_f,T_b,T_a)
    <=> c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_152,plain,
    ! [T_a,T_b,V_f] :
      ( lhs_atom152(V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_vimage__empty_0_0,def_lhs_atom152]) ).

fof(def_lhs_atom153,axiom,
    ! [V_A,T_a] :
      ( lhs_atom153(V_A,T_a)
    <=> c_Fun_Oinj__on(c_COMBI(T_a),V_A,T_a,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_153,plain,
    ! [T_a,V_A] :
      ( lhs_atom153(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_inj__on__id2_0_0,def_lhs_atom153]) ).

fof(def_lhs_atom154,axiom,
    ! [V_A,T_a] :
      ( lhs_atom154(V_A,T_a)
    <=> c_Fun_Oinj__on(c_Fun_Oid(T_a),V_A,T_a,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_154,plain,
    ! [T_a,V_A] :
      ( lhs_atom154(V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_inj__on__id_0_0,def_lhs_atom154]) ).

fof(def_lhs_atom155,axiom,
    ! [V_f,T_b,T_a] :
      ( lhs_atom155(V_f,T_b,T_a)
    <=> c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ),
    inference(definition,[],]) ).

fof(to_be_clausified_155,plain,
    ! [T_a,T_b,V_f] :
      ( lhs_atom155(V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_inj__on__empty_0_0,def_lhs_atom155]) ).

fof(def_lhs_atom156,axiom,
    ! [V_u,V_l] :
      ( lhs_atom156(V_u,V_l)
    <=> c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,tc_nat),tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_156,plain,
    ! [V_l,V_u] :
      ( lhs_atom156(V_u,V_l)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_finite__atLeastLessThan_0_0,def_lhs_atom156]) ).

fof(def_lhs_atom157,axiom,
    ( lhs_atom157
  <=> c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi) ),
    inference(definition,[],]) ).

fof(to_be_clausified_157,plain,
    ( lhs_atom157
    | $false ),
    inference(fold_definition,[status(thm)],[cls_finite__indi_0_0,def_lhs_atom157]) ).

fof(def_lhs_atom158,axiom,
    ! [T_a] :
      ( lhs_atom158(T_a)
    <=> c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_158,plain,
    ! [T_a] :
      ( lhs_atom158(T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_card__empty_0_0,def_lhs_atom158]) ).

fof(def_lhs_atom159,axiom,
    ! [V_g,V_f,T_c,T_b,T_a] :
      ( lhs_atom159(V_g,V_f,T_c,T_b,T_a)
    <=> c_Set_Oimage(c_COMBB(V_f,V_g,T_c,T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_159,plain,
    ! [T_a,T_b,T_c,V_f,V_g] :
      ( lhs_atom159(V_g,V_f,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_range__composition_0_0,def_lhs_atom159]) ).

fof(def_lhs_atom160,axiom,
    ! [V_x,V_f,T_b,T_a] :
      ( lhs_atom160(V_x,V_f,T_b,T_a)
    <=> hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_160,plain,
    ! [T_a,T_b,V_f,V_x] :
      ( lhs_atom160(V_x,V_f,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_rangeI_0_0,def_lhs_atom160]) ).

fof(def_lhs_atom161,axiom,
    ! [V_m] :
      ( lhs_atom161(V_m)
    <=> c_SetInterval_Oord__class_OatLeastLessThan(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_161,plain,
    ! [V_m] :
      ( lhs_atom161(V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_atLeastLessThan0_0_0,def_lhs_atom161]) ).

fof(def_lhs_atom162,axiom,
    ! [V_n] :
      ( lhs_atom162(V_n)
    <=> c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_SetInterval_Oord__class_OlessThan(V_n,tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_162,plain,
    ! [V_n] :
      ( lhs_atom162(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_atLeast0LessThan_0_0,def_lhs_atom162]) ).

fof(def_lhs_atom163,axiom,
    ! [V_x,T_a] :
      ( lhs_atom163(V_x,T_a)
    <=> hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_163,plain,
    ! [T_a,V_x] :
      ( lhs_atom163(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_top1I_0_0,def_lhs_atom163]) ).

fof(def_lhs_atom164,axiom,
    ( lhs_atom164
  <=> class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_164,plain,
    ( lhs_atom164
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Ono__zero__divisors_0,def_lhs_atom164]) ).

fof(def_lhs_atom165,axiom,
    ( lhs_atom165
  <=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_165,plain,
    ( lhs_atom165
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Oordered__semidom_0,def_lhs_atom165]) ).

fof(def_lhs_atom166,axiom,
    ( lhs_atom166
  <=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_166,plain,
    ( lhs_atom166
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Ocomm__monoid__add_0,def_lhs_atom166]) ).

fof(def_lhs_atom167,axiom,
    ( lhs_atom167
  <=> class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_167,plain,
    ( lhs_atom167
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Ozero__neq__one_0,def_lhs_atom167]) ).

fof(def_lhs_atom168,axiom,
    ( lhs_atom168
  <=> class_Lattices_Oupper__semilattice(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_168,plain,
    ( lhs_atom168
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Lattices_Oupper__semilattice_0,def_lhs_atom168]) ).

fof(def_lhs_atom169,axiom,
    ( lhs_atom169
  <=> class_Lattices_Olower__semilattice(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_169,plain,
    ( lhs_atom169
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Lattices_Olower__semilattice_0,def_lhs_atom169]) ).

fof(def_lhs_atom170,axiom,
    ( lhs_atom170
  <=> class_Ring__and__Field_Osemiring__1(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_170,plain,
    ( lhs_atom170
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Osemiring__1_0,def_lhs_atom170]) ).

fof(def_lhs_atom171,axiom,
    ( lhs_atom171
  <=> class_Ring__and__Field_Osemiring__0(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_171,plain,
    ( lhs_atom171
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Osemiring__0_0,def_lhs_atom171]) ).

fof(def_lhs_atom172,axiom,
    ( lhs_atom172
  <=> class_Ring__and__Field_Omult__zero(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_172,plain,
    ( lhs_atom172
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Omult__zero_0,def_lhs_atom172]) ).

fof(def_lhs_atom173,axiom,
    ( lhs_atom173
  <=> class_Lattices_Odistrib__lattice(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_173,plain,
    ( lhs_atom173
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Lattices_Odistrib__lattice_0,def_lhs_atom173]) ).

fof(def_lhs_atom174,axiom,
    ( lhs_atom174
  <=> class_Nat_Osemiring__char__0(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_174,plain,
    ( lhs_atom174
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Nat_Osemiring__char__0_0,def_lhs_atom174]) ).

fof(def_lhs_atom175,axiom,
    ( lhs_atom175
  <=> class_Orderings_Opreorder(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_175,plain,
    ( lhs_atom175
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Opreorder_0,def_lhs_atom175]) ).

fof(def_lhs_atom176,axiom,
    ( lhs_atom176
  <=> class_Orderings_Olinorder(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_176,plain,
    ( lhs_atom176
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Olinorder_0,def_lhs_atom176]) ).

fof(def_lhs_atom177,axiom,
    ( lhs_atom177
  <=> class_Lattices_Olattice(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_177,plain,
    ( lhs_atom177
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Lattices_Olattice_0,def_lhs_atom177]) ).

fof(def_lhs_atom178,axiom,
    ( lhs_atom178
  <=> class_Orderings_Oorder(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_178,plain,
    ( lhs_atom178
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Oorder_0,def_lhs_atom178]) ).

fof(def_lhs_atom179,axiom,
    ( lhs_atom179
  <=> class_Orderings_Obot(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_179,plain,
    ( lhs_atom179
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Obot_0,def_lhs_atom179]) ).

fof(def_lhs_atom180,axiom,
    ( lhs_atom180
  <=> class_Power_Opower(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_180,plain,
    ( lhs_atom180
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Power_Opower_0,def_lhs_atom180]) ).

fof(def_lhs_atom181,axiom,
    ( lhs_atom181
  <=> class_HOL_Ominus(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_181,plain,
    ( lhs_atom181
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__HOL_Ominus_0,def_lhs_atom181]) ).

fof(def_lhs_atom182,axiom,
    ( lhs_atom182
  <=> class_HOL_Oord(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_182,plain,
    ( lhs_atom182
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__HOL_Oord_0,def_lhs_atom182]) ).

fof(def_lhs_atom183,axiom,
    ( lhs_atom183
  <=> class_Complete__Lattice_Ocomplete__lattice(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_183,plain,
    ( lhs_atom183
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Complete__Lattice_Ocomplete__lattice_0,def_lhs_atom183]) ).

fof(def_lhs_atom184,axiom,
    ( lhs_atom184
  <=> class_Lattices_Oupper__semilattice(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_184,plain,
    ( lhs_atom184
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Oupper__semilattice_0,def_lhs_atom184]) ).

fof(def_lhs_atom185,axiom,
    ( lhs_atom185
  <=> class_Lattices_Olower__semilattice(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_185,plain,
    ( lhs_atom185
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Olower__semilattice_0,def_lhs_atom185]) ).

fof(def_lhs_atom186,axiom,
    ( lhs_atom186
  <=> class_Lattices_Odistrib__lattice(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_186,plain,
    ( lhs_atom186
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Odistrib__lattice_0,def_lhs_atom186]) ).

fof(def_lhs_atom187,axiom,
    ( lhs_atom187
  <=> class_Lattices_Obounded__lattice(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_187,plain,
    ( lhs_atom187
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Obounded__lattice_0,def_lhs_atom187]) ).

fof(def_lhs_atom188,axiom,
    ( lhs_atom188
  <=> class_Lattices_Oboolean__algebra(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_188,plain,
    ( lhs_atom188
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Oboolean__algebra_0,def_lhs_atom188]) ).

fof(def_lhs_atom189,axiom,
    ( lhs_atom189
  <=> class_Finite__Set_Ofinite_Ofinite(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_189,plain,
    ( lhs_atom189
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Finite__Set_Ofinite_Ofinite_0,def_lhs_atom189]) ).

fof(def_lhs_atom190,axiom,
    ( lhs_atom190
  <=> class_Orderings_Opreorder(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_190,plain,
    ( lhs_atom190
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Opreorder_0,def_lhs_atom190]) ).

fof(def_lhs_atom191,axiom,
    ( lhs_atom191
  <=> class_Lattices_Olattice(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_191,plain,
    ( lhs_atom191
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Olattice_0,def_lhs_atom191]) ).

fof(def_lhs_atom192,axiom,
    ( lhs_atom192
  <=> class_Orderings_Oorder(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_192,plain,
    ( lhs_atom192
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Oorder_0,def_lhs_atom192]) ).

fof(def_lhs_atom193,axiom,
    ( lhs_atom193
  <=> class_Orderings_Otop(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_193,plain,
    ( lhs_atom193
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Otop_0,def_lhs_atom193]) ).

fof(def_lhs_atom194,axiom,
    ( lhs_atom194
  <=> class_Orderings_Obot(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_194,plain,
    ( lhs_atom194
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Obot_0,def_lhs_atom194]) ).

fof(def_lhs_atom195,axiom,
    ( lhs_atom195
  <=> class_HOL_Ouminus(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_195,plain,
    ( lhs_atom195
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__HOL_Ouminus_0,def_lhs_atom195]) ).

fof(def_lhs_atom196,axiom,
    ( lhs_atom196
  <=> class_HOL_Ominus(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_196,plain,
    ( lhs_atom196
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__HOL_Ominus_0,def_lhs_atom196]) ).

fof(def_lhs_atom197,axiom,
    ( lhs_atom197
  <=> class_HOL_Oord(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_197,plain,
    ( lhs_atom197
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__HOL_Oord_0,def_lhs_atom197]) ).

fof(def_lhs_atom198,axiom,
    ! [V_x,T_a] :
      ( lhs_atom198(V_x,T_a)
    <=> c_fequal(V_x,V_x,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_198,plain,
    ! [T_a,V_x] :
      ( lhs_atom198(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ATP__Linkup_Oequal__imp__fequal_0_0,def_lhs_atom198]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X24,X10,X6,X25,X15,X7,X4] :
      ( lhs_atom103(X24,X10,X6,X25,X15,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_102) ).

fof(c_0_1,axiom,
    ! [X10,X6,X3,X15,X7,X4] :
      ( lhs_atom125(X10,X6,X3,X15,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_124) ).

fof(c_0_2,axiom,
    ! [X28,X10,X6,X15,X7,X4] :
      ( lhs_atom124(X28,X10,X6,X15,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_123) ).

fof(c_0_3,axiom,
    ! [X9,X10,X6,X15,X7,X4] :
      ( lhs_atom78(X9,X10,X6,X15,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_77) ).

fof(c_0_4,axiom,
    ! [X19,X20,X5,X15,X7,X4] :
      ( lhs_atom55(X19,X20,X5,X15,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_54) ).

fof(c_0_5,axiom,
    ! [X9,X10,X6,X15,X7,X4] :
      ( lhs_atom54(X9,X10,X6,X15,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_53) ).

fof(c_0_6,axiom,
    ! [X17,X10,X6,X15,X7,X4] :
      ( lhs_atom32(X17,X10,X6,X15,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_31) ).

fof(c_0_7,axiom,
    ! [X12,X13,X14,X15,X7,X4] :
      ( lhs_atom26(X12,X13,X14,X15,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_25) ).

fof(c_0_8,axiom,
    ! [X10,X6,X15,X7,X4] :
      ( lhs_atom159(X10,X6,X15,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_159) ).

fof(c_0_9,axiom,
    ! [X6,X5,X2,X7,X4] :
      ( lhs_atom149(X6,X5,X2,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_149) ).

fof(c_0_10,axiom,
    ! [X6,X5,X2,X7,X4] :
      ( lhs_atom126(X6,X5,X2,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_125) ).

fof(c_0_11,axiom,
    ! [X6,X2,X3,X7,X4] :
      ( lhs_atom123(X6,X2,X3,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_122) ).

fof(c_0_12,axiom,
    ! [X6,X2,X3,X7,X4] :
      ( lhs_atom112(X6,X2,X3,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_111) ).

fof(c_0_13,axiom,
    ! [X6,X2,X3,X7,X4] :
      ( lhs_atom87(X6,X2,X3,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_86) ).

fof(c_0_14,axiom,
    ! [X6,X2,X3,X7,X4] :
      ( lhs_atom51(X6,X2,X3,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_50) ).

fof(c_0_15,axiom,
    ! [X6,X2,X3,X7,X4] :
      ( lhs_atom31(X6,X2,X3,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_30) ).

fof(c_0_16,axiom,
    ! [X6,X2,X3,X7,X4] :
      ( lhs_atom7(X6,X2,X3,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_6) ).

fof(c_0_17,axiom,
    ! [X9,X6,X7,X4] :
      ( lhs_atom160(X9,X6,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_160) ).

fof(c_0_18,axiom,
    ! [X1,X2,X3,X4] :
      ( lhs_atom150(X1,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_150) ).

fof(c_0_19,axiom,
    ! [X1,X2,X3,X4] :
      ( lhs_atom147(X1,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_147) ).

fof(c_0_20,axiom,
    ! [X1,X2,X3,X4] :
      ( lhs_atom146(X1,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_146) ).

fof(c_0_21,axiom,
    ! [X6,X3,X7,X4] :
      ( lhs_atom131(X6,X3,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_131) ).

fof(c_0_22,axiom,
    ! [X6,X3,X7,X4] :
      ( lhs_atom127(X6,X3,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_126) ).

fof(c_0_23,axiom,
    ! [X10,X6,X15,X7] :
      ( lhs_atom108(X10,X6,X15,X7)
      | ~ $true ),
    file('<stdin>',to_be_clausified_107) ).

fof(c_0_24,axiom,
    ! [X1,X2,X3,X4] :
      ( lhs_atom105(X1,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_104) ).

fof(c_0_25,axiom,
    ! [X1,X2,X3,X4] :
      ( lhs_atom104(X1,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_103) ).

fof(c_0_26,axiom,
    ! [X1,X2,X3,X4] :
      ( lhs_atom77(X1,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_76) ).

fof(c_0_27,axiom,
    ! [X1,X2,X3,X4] :
      ( lhs_atom70(X1,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_69) ).

fof(c_0_28,axiom,
    ! [X1,X2,X3,X4] :
      ( lhs_atom69(X1,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_68) ).

fof(c_0_29,axiom,
    ! [X1,X2,X3,X4] :
      ( lhs_atom68(X1,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_67) ).

fof(c_0_30,axiom,
    ! [X1,X2,X3,X4] :
      ( lhs_atom60(X1,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_59) ).

fof(c_0_31,axiom,
    ! [X1,X2,X3,X4] :
      ( lhs_atom59(X1,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_58) ).

fof(c_0_32,axiom,
    ! [X6,X3,X7,X4] :
      ( lhs_atom46(X6,X3,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_45) ).

fof(c_0_33,axiom,
    ! [X1,X2,X3,X4] :
      ( lhs_atom42(X1,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_41) ).

fof(c_0_34,axiom,
    ! [X1,X2,X3,X4] :
      ( lhs_atom34(X1,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_33) ).

fof(c_0_35,axiom,
    ! [X1,X2,X3,X4] :
      ( lhs_atom33(X1,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_32) ).

fof(c_0_36,axiom,
    ! [X11,X9,X3,X4] :
      ( lhs_atom25(X11,X9,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_24) ).

fof(c_0_37,axiom,
    ! [X5,X2,X3,X4] :
      ( lhs_atom15(X5,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_14) ).

fof(c_0_38,axiom,
    ! [X6,X5,X8,X4] :
      ( lhs_atom14(X6,X5,X8,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_13) ).

fof(c_0_39,axiom,
    ! [X5,X2,X3,X4] :
      ( lhs_atom12(X5,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_11) ).

fof(c_0_40,axiom,
    ! [X5,X2,X3,X4] :
      ( lhs_atom11(X5,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_10) ).

fof(c_0_41,axiom,
    ! [X6,X3,X7,X4] :
      ( lhs_atom8(X6,X3,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_7) ).

fof(c_0_42,axiom,
    ! [X5,X2,X3,X4] :
      ( lhs_atom6(X5,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_43,axiom,
    ! [X5,X1,X2,X4] :
      ( lhs_atom5(X5,X1,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_44,axiom,
    ! [X1,X2,X3,X4] :
      ( lhs_atom2(X1,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_45,axiom,
    ! [X1,X2,X3,X4] :
      ( lhs_atom1(X1,X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_46,axiom,
    ! [X6,X7,X4] :
      ( lhs_atom155(X6,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_155) ).

fof(c_0_47,axiom,
    ! [X6,X7,X4] :
      ( lhs_atom152(X6,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_152) ).

fof(c_0_48,axiom,
    ! [X6,X7,X4] :
      ( lhs_atom139(X6,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_139) ).

fof(c_0_49,axiom,
    ! [X6,X7,X4] :
      ( lhs_atom129(X6,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_130) ).

fof(c_0_50,axiom,
    ! [X6,X7,X4] :
      ( lhs_atom129(X6,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_128) ).

fof(c_0_51,axiom,
    ! [X2,X3,X4] :
      ( lhs_atom110(X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_109) ).

fof(c_0_52,axiom,
    ! [X9,X3,X4] :
      ( lhs_atom106(X9,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_105) ).

fof(c_0_53,axiom,
    ! [X2,X3,X4] :
      ( lhs_atom102(X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_101) ).

fof(c_0_54,axiom,
    ! [X2,X3,X4] :
      ( lhs_atom101(X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_100) ).

fof(c_0_55,axiom,
    ! [X5,X3,X4] :
      ( lhs_atom96(X5,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_95) ).

fof(c_0_56,axiom,
    ! [X2,X3,X4] :
      ( lhs_atom91(X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_90) ).

fof(c_0_57,axiom,
    ! [X2,X3,X4] :
      ( lhs_atom88(X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_87) ).

fof(c_0_58,axiom,
    ! [X2,X3,X4] :
      ( lhs_atom86(X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_85) ).

fof(c_0_59,axiom,
    ! [X2,X3,X4] :
      ( lhs_atom85(X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_84) ).

fof(c_0_60,axiom,
    ! [X2,X3,X4] :
      ( lhs_atom83(X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_82) ).

fof(c_0_61,axiom,
    ! [X5,X3,X4] :
      ( lhs_atom81(X5,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_80) ).

fof(c_0_62,axiom,
    ! [X2,X3,X4] :
      ( lhs_atom80(X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_79) ).

fof(c_0_63,axiom,
    ! [X2,X3,X4] :
      ( lhs_atom79(X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_78) ).

fof(c_0_64,axiom,
    ! [X2,X3,X4] :
      ( lhs_atom75(X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_74) ).

fof(c_0_65,axiom,
    ! [X2,X3,X4] :
      ( lhs_atom74(X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_73) ).

fof(c_0_66,axiom,
    ! [X5,X2,X4] :
      ( lhs_atom49(X5,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_48) ).

fof(c_0_67,axiom,
    ! [X5,X3,X4] :
      ( lhs_atom41(X5,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_40) ).

fof(c_0_68,axiom,
    ! [X2,X3,X4] :
      ( lhs_atom40(X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_39) ).

fof(c_0_69,axiom,
    ! [X2,X3,X4] :
      ( lhs_atom39(X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_38) ).

fof(c_0_70,axiom,
    ! [X2,X3,X4] :
      ( lhs_atom38(X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_37) ).

fof(c_0_71,axiom,
    ! [X2,X3,X4] :
      ( lhs_atom37(X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_36) ).

fof(c_0_72,axiom,
    ! [X2,X3,X4] :
      ( lhs_atom30(X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_29) ).

fof(c_0_73,axiom,
    ! [X16,X9,X4] :
      ( lhs_atom29(X16,X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_28) ).

fof(c_0_74,axiom,
    ! [X2,X3,X4] :
      ( lhs_atom28(X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_27) ).

fof(c_0_75,axiom,
    ! [X9,X2,X4] :
      ( lhs_atom24(X9,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_23) ).

fof(c_0_76,axiom,
    ! [X5,X2,X4] :
      ( lhs_atom23(X5,X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_22) ).

fof(c_0_77,axiom,
    ! [X9,X3,X4] :
      ( lhs_atom22(X9,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_21) ).

fof(c_0_78,axiom,
    ! [X10,X7,X4] :
      ( lhs_atom19(X10,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_18) ).

fof(c_0_79,axiom,
    ! [X6,X7,X4] :
      ( lhs_atom18(X6,X7,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_17) ).

fof(c_0_80,axiom,
    ! [X9,X3,X4] :
      ( lhs_atom16(X9,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_15) ).

fof(c_0_81,axiom,
    ! [X5,X3,X4] :
      ( lhs_atom13(X5,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_12) ).

fof(c_0_82,axiom,
    ! [X2,X3,X4] :
      ( lhs_atom10(X2,X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_9) ).

fof(c_0_83,axiom,
    ! [X9,X4] :
      ( lhs_atom198(X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_198) ).

fof(c_0_84,axiom,
    ! [X9,X4] :
      ( lhs_atom163(X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_163) ).

fof(c_0_85,axiom,
    ! [X29,X30] :
      ( lhs_atom156(X29,X30)
      | ~ $true ),
    file('<stdin>',to_be_clausified_156) ).

fof(c_0_86,axiom,
    ! [X3,X4] :
      ( lhs_atom154(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_154) ).

fof(c_0_87,axiom,
    ! [X3,X4] :
      ( lhs_atom153(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_153) ).

fof(c_0_88,axiom,
    ! [X9,X4] :
      ( lhs_atom148(X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_148) ).

fof(c_0_89,axiom,
    ! [X3,X4] :
      ( lhs_atom145(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_145) ).

fof(c_0_90,axiom,
    ! [X9,X4] :
      ( lhs_atom144(X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_144) ).

fof(c_0_91,axiom,
    ! [X3,X4] :
      ( lhs_atom141(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_141) ).

fof(c_0_92,axiom,
    ! [X2,X4] :
      ( lhs_atom138(X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_138) ).

fof(c_0_93,axiom,
    ! [X3,X4] :
      ( lhs_atom137(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_137) ).

fof(c_0_94,axiom,
    ! [X9,X4] :
      ( lhs_atom136(X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_136) ).

fof(c_0_95,axiom,
    ! [X2,X4] :
      ( lhs_atom134(X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_134) ).

fof(c_0_96,axiom,
    ! [X3,X4] :
      ( lhs_atom133(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_133) ).

fof(c_0_97,axiom,
    ! [X3,X4] :
      ( lhs_atom132(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_132) ).

fof(c_0_98,axiom,
    ! [X21,X4] :
      ( lhs_atom130(X21,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_129) ).

fof(c_0_99,axiom,
    ! [X21,X4] :
      ( lhs_atom128(X21,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_127) ).

fof(c_0_100,axiom,
    ! [X3,X4] :
      ( lhs_atom100(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_99) ).

fof(c_0_101,axiom,
    ! [X9,X4] :
      ( lhs_atom99(X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_98) ).

fof(c_0_102,axiom,
    ! [X23,X4] :
      ( lhs_atom98(X23,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_97) ).

fof(c_0_103,axiom,
    ! [X5,X4] :
      ( lhs_atom97(X5,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_96) ).

fof(c_0_104,axiom,
    ! [X3,X4] :
      ( lhs_atom90(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_89) ).

fof(c_0_105,axiom,
    ! [X9,X4] :
      ( lhs_atom89(X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_88) ).

fof(c_0_106,axiom,
    ! [X3,X4] :
      ( lhs_atom76(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_75) ).

fof(c_0_107,axiom,
    ! [X9,X4] :
      ( lhs_atom67(X9,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_66) ).

fof(c_0_108,axiom,
    ! [X3,X4] :
      ( lhs_atom64(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_63) ).

fof(c_0_109,axiom,
    ! [X3,X4] :
      ( lhs_atom63(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_62) ).

fof(c_0_110,axiom,
    ! [X2,X4] :
      ( lhs_atom62(X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_61) ).

fof(c_0_111,axiom,
    ! [X21,X4] :
      ( lhs_atom58(X21,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_57) ).

fof(c_0_112,axiom,
    ! [X3,X4] :
      ( lhs_atom56(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_55) ).

fof(c_0_113,axiom,
    ! [X3,X4] :
      ( lhs_atom53(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_52) ).

fof(c_0_114,axiom,
    ! [X3,X4] :
      ( lhs_atom52(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_51) ).

fof(c_0_115,axiom,
    ! [X3,X4] :
      ( lhs_atom48(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_47) ).

fof(c_0_116,axiom,
    ! [X2,X4] :
      ( lhs_atom47(X2,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_46) ).

fof(c_0_117,axiom,
    ! [X3,X4] :
      ( lhs_atom45(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_44) ).

fof(c_0_118,axiom,
    ! [X3,X4] :
      ( lhs_atom44(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_43) ).

fof(c_0_119,axiom,
    ! [X14,X4] :
      ( lhs_atom27(X14,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_26) ).

fof(c_0_120,axiom,
    ! [X3,X4] :
      ( lhs_atom20(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_19) ).

fof(c_0_121,axiom,
    ! [X3,X4] :
      ( lhs_atom9(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_8) ).

fof(c_0_122,axiom,
    ! [X3,X4] :
      ( lhs_atom4(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_123,axiom,
    ! [X3,X4] :
      ( lhs_atom3(X3,X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_124,axiom,
    ! [X18] :
      ( lhs_atom162(X18)
      | ~ $true ),
    file('<stdin>',to_be_clausified_162) ).

fof(c_0_125,axiom,
    ! [X26] :
      ( lhs_atom161(X26)
      | ~ $true ),
    file('<stdin>',to_be_clausified_161) ).

fof(c_0_126,axiom,
    ! [X4] :
      ( lhs_atom158(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_158) ).

fof(c_0_127,axiom,
    ! [X4] :
      ( lhs_atom151(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_151) ).

fof(c_0_128,axiom,
    ! [X9] :
      ( lhs_atom143(X9)
      | ~ $true ),
    file('<stdin>',to_be_clausified_143) ).

fof(c_0_129,axiom,
    ! [X18] :
      ( lhs_atom142(X18)
      | ~ $true ),
    file('<stdin>',to_be_clausified_142) ).

fof(c_0_130,axiom,
    ! [X18] :
      ( lhs_atom140(X18)
      | ~ $true ),
    file('<stdin>',to_be_clausified_140) ).

fof(c_0_131,axiom,
    ! [X4] :
      ( lhs_atom135(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_135) ).

fof(c_0_132,axiom,
    ! [X4] :
      ( lhs_atom122(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_121) ).

fof(c_0_133,axiom,
    ! [X18] :
      ( lhs_atom121(X18)
      | ~ $true ),
    file('<stdin>',to_be_clausified_120) ).

fof(c_0_134,axiom,
    ! [X18] :
      ( lhs_atom120(X18)
      | ~ $true ),
    file('<stdin>',to_be_clausified_119) ).

fof(c_0_135,axiom,
    ! [X26] :
      ( lhs_atom119(X26)
      | ~ $true ),
    file('<stdin>',to_be_clausified_118) ).

fof(c_0_136,axiom,
    ! [X27] :
      ( lhs_atom118(X27)
      | ~ $true ),
    file('<stdin>',to_be_clausified_117) ).

fof(c_0_137,axiom,
    ! [X26] :
      ( lhs_atom117(X26)
      | ~ $true ),
    file('<stdin>',to_be_clausified_116) ).

fof(c_0_138,axiom,
    ! [X27] :
      ( lhs_atom116(X27)
      | ~ $true ),
    file('<stdin>',to_be_clausified_115) ).

fof(c_0_139,axiom,
    ! [X26] :
      ( lhs_atom115(X26)
      | ~ $true ),
    file('<stdin>',to_be_clausified_114) ).

fof(c_0_140,axiom,
    ! [X18] :
      ( lhs_atom111(X18)
      | ~ $true ),
    file('<stdin>',to_be_clausified_110) ).

fof(c_0_141,axiom,
    ! [X4] :
      ( lhs_atom109(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_108) ).

fof(c_0_142,axiom,
    ! [X18] :
      ( lhs_atom107(X18)
      | ~ $true ),
    file('<stdin>',to_be_clausified_106) ).

fof(c_0_143,axiom,
    ! [X4] :
      ( lhs_atom95(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_94) ).

fof(c_0_144,axiom,
    ! [X9] :
      ( lhs_atom93(X9)
      | ~ $true ),
    file('<stdin>',to_be_clausified_92) ).

fof(c_0_145,axiom,
    ! [X18] :
      ( lhs_atom92(X18)
      | ~ $true ),
    file('<stdin>',to_be_clausified_91) ).

fof(c_0_146,axiom,
    ! [X4] :
      ( lhs_atom84(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_83) ).

fof(c_0_147,axiom,
    ! [X18] :
      ( lhs_atom82(X18)
      | ~ $true ),
    file('<stdin>',to_be_clausified_81) ).

fof(c_0_148,axiom,
    ! [X22] :
      ( lhs_atom73(X22)
      | ~ $true ),
    file('<stdin>',to_be_clausified_72) ).

fof(c_0_149,axiom,
    ! [X18] :
      ( lhs_atom72(X18)
      | ~ $true ),
    file('<stdin>',to_be_clausified_71) ).

fof(c_0_150,axiom,
    ! [X9] :
      ( lhs_atom71(X9)
      | ~ $true ),
    file('<stdin>',to_be_clausified_70) ).

fof(c_0_151,axiom,
    ! [X4] :
      ( lhs_atom66(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_65) ).

fof(c_0_152,axiom,
    ! [X4] :
      ( lhs_atom50(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_49) ).

fof(c_0_153,axiom,
    ! [X4] :
      ( lhs_atom43(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_42) ).

fof(c_0_154,axiom,
    ! [X9] :
      ( lhs_atom36(X9)
      | ~ $true ),
    file('<stdin>',to_be_clausified_35) ).

fof(c_0_155,axiom,
    ! [X18] :
      ( lhs_atom35(X18)
      | ~ $true ),
    file('<stdin>',to_be_clausified_34) ).

fof(c_0_156,axiom,
    ! [X4] :
      ( lhs_atom21(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_20) ).

fof(c_0_157,axiom,
    ! [X4] :
      ( lhs_atom17(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_16) ).

fof(c_0_158,axiom,
    ( lhs_atom197
    | ~ $true ),
    file('<stdin>',to_be_clausified_197) ).

fof(c_0_159,axiom,
    ( lhs_atom196
    | ~ $true ),
    file('<stdin>',to_be_clausified_196) ).

fof(c_0_160,axiom,
    ( lhs_atom195
    | ~ $true ),
    file('<stdin>',to_be_clausified_195) ).

fof(c_0_161,axiom,
    ( lhs_atom194
    | ~ $true ),
    file('<stdin>',to_be_clausified_194) ).

fof(c_0_162,axiom,
    ( lhs_atom193
    | ~ $true ),
    file('<stdin>',to_be_clausified_193) ).

fof(c_0_163,axiom,
    ( lhs_atom192
    | ~ $true ),
    file('<stdin>',to_be_clausified_192) ).

fof(c_0_164,axiom,
    ( lhs_atom191
    | ~ $true ),
    file('<stdin>',to_be_clausified_191) ).

fof(c_0_165,axiom,
    ( lhs_atom190
    | ~ $true ),
    file('<stdin>',to_be_clausified_190) ).

fof(c_0_166,axiom,
    ( lhs_atom189
    | ~ $true ),
    file('<stdin>',to_be_clausified_189) ).

fof(c_0_167,axiom,
    ( lhs_atom188
    | ~ $true ),
    file('<stdin>',to_be_clausified_188) ).

fof(c_0_168,axiom,
    ( lhs_atom187
    | ~ $true ),
    file('<stdin>',to_be_clausified_187) ).

fof(c_0_169,axiom,
    ( lhs_atom186
    | ~ $true ),
    file('<stdin>',to_be_clausified_186) ).

fof(c_0_170,axiom,
    ( lhs_atom185
    | ~ $true ),
    file('<stdin>',to_be_clausified_185) ).

fof(c_0_171,axiom,
    ( lhs_atom184
    | ~ $true ),
    file('<stdin>',to_be_clausified_184) ).

fof(c_0_172,axiom,
    ( lhs_atom183
    | ~ $true ),
    file('<stdin>',to_be_clausified_183) ).

fof(c_0_173,axiom,
    ( lhs_atom182
    | ~ $true ),
    file('<stdin>',to_be_clausified_182) ).

fof(c_0_174,axiom,
    ( lhs_atom181
    | ~ $true ),
    file('<stdin>',to_be_clausified_181) ).

fof(c_0_175,axiom,
    ( lhs_atom180
    | ~ $true ),
    file('<stdin>',to_be_clausified_180) ).

fof(c_0_176,axiom,
    ( lhs_atom179
    | ~ $true ),
    file('<stdin>',to_be_clausified_179) ).

fof(c_0_177,axiom,
    ( lhs_atom178
    | ~ $true ),
    file('<stdin>',to_be_clausified_178) ).

fof(c_0_178,axiom,
    ( lhs_atom177
    | ~ $true ),
    file('<stdin>',to_be_clausified_177) ).

fof(c_0_179,axiom,
    ( lhs_atom176
    | ~ $true ),
    file('<stdin>',to_be_clausified_176) ).

fof(c_0_180,axiom,
    ( lhs_atom175
    | ~ $true ),
    file('<stdin>',to_be_clausified_175) ).

fof(c_0_181,axiom,
    ( lhs_atom174
    | ~ $true ),
    file('<stdin>',to_be_clausified_174) ).

fof(c_0_182,axiom,
    ( lhs_atom173
    | ~ $true ),
    file('<stdin>',to_be_clausified_173) ).

fof(c_0_183,axiom,
    ( lhs_atom172
    | ~ $true ),
    file('<stdin>',to_be_clausified_172) ).

fof(c_0_184,axiom,
    ( lhs_atom171
    | ~ $true ),
    file('<stdin>',to_be_clausified_171) ).

fof(c_0_185,axiom,
    ( lhs_atom170
    | ~ $true ),
    file('<stdin>',to_be_clausified_170) ).

fof(c_0_186,axiom,
    ( lhs_atom169
    | ~ $true ),
    file('<stdin>',to_be_clausified_169) ).

fof(c_0_187,axiom,
    ( lhs_atom168
    | ~ $true ),
    file('<stdin>',to_be_clausified_168) ).

fof(c_0_188,axiom,
    ( lhs_atom167
    | ~ $true ),
    file('<stdin>',to_be_clausified_167) ).

fof(c_0_189,axiom,
    ( lhs_atom166
    | ~ $true ),
    file('<stdin>',to_be_clausified_166) ).

fof(c_0_190,axiom,
    ( lhs_atom165
    | ~ $true ),
    file('<stdin>',to_be_clausified_165) ).

fof(c_0_191,axiom,
    ( lhs_atom164
    | ~ $true ),
    file('<stdin>',to_be_clausified_164) ).

fof(c_0_192,axiom,
    ( lhs_atom157
    | ~ $true ),
    file('<stdin>',to_be_clausified_157) ).

fof(c_0_193,axiom,
    ( lhs_atom114
    | ~ $true ),
    file('<stdin>',to_be_clausified_113) ).

fof(c_0_194,axiom,
    ( lhs_atom113
    | ~ $true ),
    file('<stdin>',to_be_clausified_112) ).

fof(c_0_195,axiom,
    ( lhs_atom94
    | ~ $true ),
    file('<stdin>',to_be_clausified_93) ).

fof(c_0_196,axiom,
    ( lhs_atom65
    | ~ $true ),
    file('<stdin>',to_be_clausified_64) ).

fof(c_0_197,axiom,
    ( lhs_atom61
    | ~ $true ),
    file('<stdin>',to_be_clausified_60) ).

fof(c_0_198,axiom,
    ( lhs_atom57
    | ~ $true ),
    file('<stdin>',to_be_clausified_56) ).

fof(c_0_199,plain,
    ! [X24,X10,X6,X25,X15,X7,X4] : lhs_atom103(X24,X10,X6,X25,X15,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_200,plain,
    ! [X10,X6,X3,X15,X7,X4] : lhs_atom125(X10,X6,X3,X15,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_201,plain,
    ! [X28,X10,X6,X15,X7,X4] : lhs_atom124(X28,X10,X6,X15,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_202,plain,
    ! [X9,X10,X6,X15,X7,X4] : lhs_atom78(X9,X10,X6,X15,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_203,plain,
    ! [X19,X20,X5,X15,X7,X4] : lhs_atom55(X19,X20,X5,X15,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_204,plain,
    ! [X9,X10,X6,X15,X7,X4] : lhs_atom54(X9,X10,X6,X15,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_205,plain,
    ! [X17,X10,X6,X15,X7,X4] : lhs_atom32(X17,X10,X6,X15,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_206,plain,
    ! [X12,X13,X14,X15,X7,X4] : lhs_atom26(X12,X13,X14,X15,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_207,plain,
    ! [X10,X6,X15,X7,X4] : lhs_atom159(X10,X6,X15,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_208,plain,
    ! [X6,X5,X2,X7,X4] : lhs_atom149(X6,X5,X2,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_209,plain,
    ! [X6,X5,X2,X7,X4] : lhs_atom126(X6,X5,X2,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_210,plain,
    ! [X6,X2,X3,X7,X4] : lhs_atom123(X6,X2,X3,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_211,plain,
    ! [X6,X2,X3,X7,X4] : lhs_atom112(X6,X2,X3,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_212,plain,
    ! [X6,X2,X3,X7,X4] : lhs_atom87(X6,X2,X3,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_213,plain,
    ! [X6,X2,X3,X7,X4] : lhs_atom51(X6,X2,X3,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_214,plain,
    ! [X6,X2,X3,X7,X4] : lhs_atom31(X6,X2,X3,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_215,plain,
    ! [X6,X2,X3,X7,X4] : lhs_atom7(X6,X2,X3,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_216,plain,
    ! [X9,X6,X7,X4] : lhs_atom160(X9,X6,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_217,plain,
    ! [X1,X2,X3,X4] : lhs_atom150(X1,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_218,plain,
    ! [X1,X2,X3,X4] : lhs_atom147(X1,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_219,plain,
    ! [X1,X2,X3,X4] : lhs_atom146(X1,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_220,plain,
    ! [X6,X3,X7,X4] : lhs_atom131(X6,X3,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_221,plain,
    ! [X6,X3,X7,X4] : lhs_atom127(X6,X3,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_222,plain,
    ! [X10,X6,X15,X7] : lhs_atom108(X10,X6,X15,X7),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_223,plain,
    ! [X1,X2,X3,X4] : lhs_atom105(X1,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_224,plain,
    ! [X1,X2,X3,X4] : lhs_atom104(X1,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_225,plain,
    ! [X1,X2,X3,X4] : lhs_atom77(X1,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_226,plain,
    ! [X1,X2,X3,X4] : lhs_atom70(X1,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_227,plain,
    ! [X1,X2,X3,X4] : lhs_atom69(X1,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_228,plain,
    ! [X1,X2,X3,X4] : lhs_atom68(X1,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_229,plain,
    ! [X1,X2,X3,X4] : lhs_atom60(X1,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_230,plain,
    ! [X1,X2,X3,X4] : lhs_atom59(X1,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_231,plain,
    ! [X6,X3,X7,X4] : lhs_atom46(X6,X3,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_232,plain,
    ! [X1,X2,X3,X4] : lhs_atom42(X1,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_233,plain,
    ! [X1,X2,X3,X4] : lhs_atom34(X1,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_234,plain,
    ! [X1,X2,X3,X4] : lhs_atom33(X1,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_235,plain,
    ! [X11,X9,X3,X4] : lhs_atom25(X11,X9,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_236,plain,
    ! [X5,X2,X3,X4] : lhs_atom15(X5,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_237,plain,
    ! [X6,X5,X8,X4] : lhs_atom14(X6,X5,X8,X4),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_238,plain,
    ! [X5,X2,X3,X4] : lhs_atom12(X5,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_239,plain,
    ! [X5,X2,X3,X4] : lhs_atom11(X5,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_240,plain,
    ! [X6,X3,X7,X4] : lhs_atom8(X6,X3,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_241,plain,
    ! [X5,X2,X3,X4] : lhs_atom6(X5,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_242,plain,
    ! [X5,X1,X2,X4] : lhs_atom5(X5,X1,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_243,plain,
    ! [X1,X2,X3,X4] : lhs_atom2(X1,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_244,plain,
    ! [X1,X2,X3,X4] : lhs_atom1(X1,X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_245,plain,
    ! [X6,X7,X4] : lhs_atom155(X6,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_246,plain,
    ! [X6,X7,X4] : lhs_atom152(X6,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_247,plain,
    ! [X6,X7,X4] : lhs_atom139(X6,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_248,plain,
    ! [X6,X7,X4] : lhs_atom129(X6,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_249,plain,
    ! [X6,X7,X4] : lhs_atom129(X6,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_250,plain,
    ! [X2,X3,X4] : lhs_atom110(X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_251,plain,
    ! [X9,X3,X4] : lhs_atom106(X9,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_252,plain,
    ! [X2,X3,X4] : lhs_atom102(X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_253,plain,
    ! [X2,X3,X4] : lhs_atom101(X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_254,plain,
    ! [X5,X3,X4] : lhs_atom96(X5,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_255,plain,
    ! [X2,X3,X4] : lhs_atom91(X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_256,plain,
    ! [X2,X3,X4] : lhs_atom88(X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_257,plain,
    ! [X2,X3,X4] : lhs_atom86(X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_258,plain,
    ! [X2,X3,X4] : lhs_atom85(X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_259,plain,
    ! [X2,X3,X4] : lhs_atom83(X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_260,plain,
    ! [X5,X3,X4] : lhs_atom81(X5,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_261,plain,
    ! [X2,X3,X4] : lhs_atom80(X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_262,plain,
    ! [X2,X3,X4] : lhs_atom79(X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_263,plain,
    ! [X2,X3,X4] : lhs_atom75(X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_264,plain,
    ! [X2,X3,X4] : lhs_atom74(X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_265,plain,
    ! [X5,X2,X4] : lhs_atom49(X5,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_266,plain,
    ! [X5,X3,X4] : lhs_atom41(X5,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_267,plain,
    ! [X2,X3,X4] : lhs_atom40(X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_268,plain,
    ! [X2,X3,X4] : lhs_atom39(X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_269,plain,
    ! [X2,X3,X4] : lhs_atom38(X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_270,plain,
    ! [X2,X3,X4] : lhs_atom37(X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_271,plain,
    ! [X2,X3,X4] : lhs_atom30(X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_272,plain,
    ! [X16,X9,X4] : lhs_atom29(X16,X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_273,plain,
    ! [X2,X3,X4] : lhs_atom28(X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_274,plain,
    ! [X9,X2,X4] : lhs_atom24(X9,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_275,plain,
    ! [X5,X2,X4] : lhs_atom23(X5,X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_276,plain,
    ! [X9,X3,X4] : lhs_atom22(X9,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_277,plain,
    ! [X10,X7,X4] : lhs_atom19(X10,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_278,plain,
    ! [X6,X7,X4] : lhs_atom18(X6,X7,X4),
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_279,plain,
    ! [X9,X3,X4] : lhs_atom16(X9,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_280,plain,
    ! [X5,X3,X4] : lhs_atom13(X5,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_281,plain,
    ! [X2,X3,X4] : lhs_atom10(X2,X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_282,plain,
    ! [X9,X4] : lhs_atom198(X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_283,plain,
    ! [X9,X4] : lhs_atom163(X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_284,plain,
    ! [X29,X30] : lhs_atom156(X29,X30),
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_285,plain,
    ! [X3,X4] : lhs_atom154(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_286,plain,
    ! [X3,X4] : lhs_atom153(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_287,plain,
    ! [X9,X4] : lhs_atom148(X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_288,plain,
    ! [X3,X4] : lhs_atom145(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_289,plain,
    ! [X9,X4] : lhs_atom144(X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_290,plain,
    ! [X3,X4] : lhs_atom141(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_291,plain,
    ! [X2,X4] : lhs_atom138(X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_292,plain,
    ! [X3,X4] : lhs_atom137(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_293,plain,
    ! [X9,X4] : lhs_atom136(X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_294,plain,
    ! [X2,X4] : lhs_atom134(X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_295,plain,
    ! [X3,X4] : lhs_atom133(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_296,plain,
    ! [X3,X4] : lhs_atom132(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_297,plain,
    ! [X21,X4] : lhs_atom130(X21,X4),
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_298,plain,
    ! [X21,X4] : lhs_atom128(X21,X4),
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_299,plain,
    ! [X3,X4] : lhs_atom100(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_300,plain,
    ! [X9,X4] : lhs_atom99(X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_301,plain,
    ! [X23,X4] : lhs_atom98(X23,X4),
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_302,plain,
    ! [X5,X4] : lhs_atom97(X5,X4),
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_303,plain,
    ! [X3,X4] : lhs_atom90(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_304,plain,
    ! [X9,X4] : lhs_atom89(X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_305,plain,
    ! [X3,X4] : lhs_atom76(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_306,plain,
    ! [X9,X4] : lhs_atom67(X9,X4),
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_307,plain,
    ! [X3,X4] : lhs_atom64(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_308,plain,
    ! [X3,X4] : lhs_atom63(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_309,plain,
    ! [X2,X4] : lhs_atom62(X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_310,plain,
    ! [X21,X4] : lhs_atom58(X21,X4),
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_311,plain,
    ! [X3,X4] : lhs_atom56(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_312,plain,
    ! [X3,X4] : lhs_atom53(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_313,plain,
    ! [X3,X4] : lhs_atom52(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_314,plain,
    ! [X3,X4] : lhs_atom48(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_315,plain,
    ! [X2,X4] : lhs_atom47(X2,X4),
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_316,plain,
    ! [X3,X4] : lhs_atom45(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_317,plain,
    ! [X3,X4] : lhs_atom44(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_318,plain,
    ! [X14,X4] : lhs_atom27(X14,X4),
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_319,plain,
    ! [X3,X4] : lhs_atom20(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_320,plain,
    ! [X3,X4] : lhs_atom9(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_321,plain,
    ! [X3,X4] : lhs_atom4(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_322,plain,
    ! [X3,X4] : lhs_atom3(X3,X4),
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_323,plain,
    ! [X18] : lhs_atom162(X18),
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_324,plain,
    ! [X26] : lhs_atom161(X26),
    inference(fof_simplification,[status(thm)],[c_0_125]) ).

fof(c_0_325,plain,
    ! [X4] : lhs_atom158(X4),
    inference(fof_simplification,[status(thm)],[c_0_126]) ).

fof(c_0_326,plain,
    ! [X4] : lhs_atom151(X4),
    inference(fof_simplification,[status(thm)],[c_0_127]) ).

fof(c_0_327,plain,
    ! [X9] : lhs_atom143(X9),
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_328,plain,
    ! [X18] : lhs_atom142(X18),
    inference(fof_simplification,[status(thm)],[c_0_129]) ).

fof(c_0_329,plain,
    ! [X18] : lhs_atom140(X18),
    inference(fof_simplification,[status(thm)],[c_0_130]) ).

fof(c_0_330,plain,
    ! [X4] : lhs_atom135(X4),
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_331,plain,
    ! [X4] : lhs_atom122(X4),
    inference(fof_simplification,[status(thm)],[c_0_132]) ).

fof(c_0_332,plain,
    ! [X18] : lhs_atom121(X18),
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_333,plain,
    ! [X18] : lhs_atom120(X18),
    inference(fof_simplification,[status(thm)],[c_0_134]) ).

fof(c_0_334,plain,
    ! [X26] : lhs_atom119(X26),
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_335,plain,
    ! [X27] : lhs_atom118(X27),
    inference(fof_simplification,[status(thm)],[c_0_136]) ).

fof(c_0_336,plain,
    ! [X26] : lhs_atom117(X26),
    inference(fof_simplification,[status(thm)],[c_0_137]) ).

fof(c_0_337,plain,
    ! [X27] : lhs_atom116(X27),
    inference(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_338,plain,
    ! [X26] : lhs_atom115(X26),
    inference(fof_simplification,[status(thm)],[c_0_139]) ).

fof(c_0_339,plain,
    ! [X18] : lhs_atom111(X18),
    inference(fof_simplification,[status(thm)],[c_0_140]) ).

fof(c_0_340,plain,
    ! [X4] : lhs_atom109(X4),
    inference(fof_simplification,[status(thm)],[c_0_141]) ).

fof(c_0_341,plain,
    ! [X18] : lhs_atom107(X18),
    inference(fof_simplification,[status(thm)],[c_0_142]) ).

fof(c_0_342,plain,
    ! [X4] : lhs_atom95(X4),
    inference(fof_simplification,[status(thm)],[c_0_143]) ).

fof(c_0_343,plain,
    ! [X9] : lhs_atom93(X9),
    inference(fof_simplification,[status(thm)],[c_0_144]) ).

fof(c_0_344,plain,
    ! [X18] : lhs_atom92(X18),
    inference(fof_simplification,[status(thm)],[c_0_145]) ).

fof(c_0_345,plain,
    ! [X4] : lhs_atom84(X4),
    inference(fof_simplification,[status(thm)],[c_0_146]) ).

fof(c_0_346,plain,
    ! [X18] : lhs_atom82(X18),
    inference(fof_simplification,[status(thm)],[c_0_147]) ).

fof(c_0_347,plain,
    ! [X22] : lhs_atom73(X22),
    inference(fof_simplification,[status(thm)],[c_0_148]) ).

fof(c_0_348,plain,
    ! [X18] : lhs_atom72(X18),
    inference(fof_simplification,[status(thm)],[c_0_149]) ).

fof(c_0_349,plain,
    ! [X9] : lhs_atom71(X9),
    inference(fof_simplification,[status(thm)],[c_0_150]) ).

fof(c_0_350,plain,
    ! [X4] : lhs_atom66(X4),
    inference(fof_simplification,[status(thm)],[c_0_151]) ).

fof(c_0_351,plain,
    ! [X4] : lhs_atom50(X4),
    inference(fof_simplification,[status(thm)],[c_0_152]) ).

fof(c_0_352,plain,
    ! [X4] : lhs_atom43(X4),
    inference(fof_simplification,[status(thm)],[c_0_153]) ).

fof(c_0_353,plain,
    ! [X9] : lhs_atom36(X9),
    inference(fof_simplification,[status(thm)],[c_0_154]) ).

fof(c_0_354,plain,
    ! [X18] : lhs_atom35(X18),
    inference(fof_simplification,[status(thm)],[c_0_155]) ).

fof(c_0_355,plain,
    ! [X4] : lhs_atom21(X4),
    inference(fof_simplification,[status(thm)],[c_0_156]) ).

fof(c_0_356,plain,
    ! [X4] : lhs_atom17(X4),
    inference(fof_simplification,[status(thm)],[c_0_157]) ).

fof(c_0_357,plain,
    lhs_atom197,
    inference(fof_simplification,[status(thm)],[c_0_158]) ).

fof(c_0_358,plain,
    lhs_atom196,
    inference(fof_simplification,[status(thm)],[c_0_159]) ).

fof(c_0_359,plain,
    lhs_atom195,
    inference(fof_simplification,[status(thm)],[c_0_160]) ).

fof(c_0_360,plain,
    lhs_atom194,
    inference(fof_simplification,[status(thm)],[c_0_161]) ).

fof(c_0_361,plain,
    lhs_atom193,
    inference(fof_simplification,[status(thm)],[c_0_162]) ).

fof(c_0_362,plain,
    lhs_atom192,
    inference(fof_simplification,[status(thm)],[c_0_163]) ).

fof(c_0_363,plain,
    lhs_atom191,
    inference(fof_simplification,[status(thm)],[c_0_164]) ).

fof(c_0_364,plain,
    lhs_atom190,
    inference(fof_simplification,[status(thm)],[c_0_165]) ).

fof(c_0_365,plain,
    lhs_atom189,
    inference(fof_simplification,[status(thm)],[c_0_166]) ).

fof(c_0_366,plain,
    lhs_atom188,
    inference(fof_simplification,[status(thm)],[c_0_167]) ).

fof(c_0_367,plain,
    lhs_atom187,
    inference(fof_simplification,[status(thm)],[c_0_168]) ).

fof(c_0_368,plain,
    lhs_atom186,
    inference(fof_simplification,[status(thm)],[c_0_169]) ).

fof(c_0_369,plain,
    lhs_atom185,
    inference(fof_simplification,[status(thm)],[c_0_170]) ).

fof(c_0_370,plain,
    lhs_atom184,
    inference(fof_simplification,[status(thm)],[c_0_171]) ).

fof(c_0_371,plain,
    lhs_atom183,
    inference(fof_simplification,[status(thm)],[c_0_172]) ).

fof(c_0_372,plain,
    lhs_atom182,
    inference(fof_simplification,[status(thm)],[c_0_173]) ).

fof(c_0_373,plain,
    lhs_atom181,
    inference(fof_simplification,[status(thm)],[c_0_174]) ).

fof(c_0_374,plain,
    lhs_atom180,
    inference(fof_simplification,[status(thm)],[c_0_175]) ).

fof(c_0_375,plain,
    lhs_atom179,
    inference(fof_simplification,[status(thm)],[c_0_176]) ).

fof(c_0_376,plain,
    lhs_atom178,
    inference(fof_simplification,[status(thm)],[c_0_177]) ).

fof(c_0_377,plain,
    lhs_atom177,
    inference(fof_simplification,[status(thm)],[c_0_178]) ).

fof(c_0_378,plain,
    lhs_atom176,
    inference(fof_simplification,[status(thm)],[c_0_179]) ).

fof(c_0_379,plain,
    lhs_atom175,
    inference(fof_simplification,[status(thm)],[c_0_180]) ).

fof(c_0_380,plain,
    lhs_atom174,
    inference(fof_simplification,[status(thm)],[c_0_181]) ).

fof(c_0_381,plain,
    lhs_atom173,
    inference(fof_simplification,[status(thm)],[c_0_182]) ).

fof(c_0_382,plain,
    lhs_atom172,
    inference(fof_simplification,[status(thm)],[c_0_183]) ).

fof(c_0_383,plain,
    lhs_atom171,
    inference(fof_simplification,[status(thm)],[c_0_184]) ).

fof(c_0_384,plain,
    lhs_atom170,
    inference(fof_simplification,[status(thm)],[c_0_185]) ).

fof(c_0_385,plain,
    lhs_atom169,
    inference(fof_simplification,[status(thm)],[c_0_186]) ).

fof(c_0_386,plain,
    lhs_atom168,
    inference(fof_simplification,[status(thm)],[c_0_187]) ).

fof(c_0_387,plain,
    lhs_atom167,
    inference(fof_simplification,[status(thm)],[c_0_188]) ).

fof(c_0_388,plain,
    lhs_atom166,
    inference(fof_simplification,[status(thm)],[c_0_189]) ).

fof(c_0_389,plain,
    lhs_atom165,
    inference(fof_simplification,[status(thm)],[c_0_190]) ).

fof(c_0_390,plain,
    lhs_atom164,
    inference(fof_simplification,[status(thm)],[c_0_191]) ).

fof(c_0_391,plain,
    lhs_atom157,
    inference(fof_simplification,[status(thm)],[c_0_192]) ).

fof(c_0_392,plain,
    lhs_atom114,
    inference(fof_simplification,[status(thm)],[c_0_193]) ).

fof(c_0_393,plain,
    lhs_atom113,
    inference(fof_simplification,[status(thm)],[c_0_194]) ).

fof(c_0_394,plain,
    lhs_atom94,
    inference(fof_simplification,[status(thm)],[c_0_195]) ).

fof(c_0_395,plain,
    lhs_atom65,
    inference(fof_simplification,[status(thm)],[c_0_196]) ).

fof(c_0_396,plain,
    lhs_atom61,
    inference(fof_simplification,[status(thm)],[c_0_197]) ).

fof(c_0_397,plain,
    lhs_atom57,
    inference(fof_simplification,[status(thm)],[c_0_198]) ).

fof(c_0_398,plain,
    ! [X26,X27,X28,X29,X30,X31,X32] : lhs_atom103(X26,X27,X28,X29,X30,X31,X32),
    inference(variable_rename,[status(thm)],[c_0_199]) ).

fof(c_0_399,plain,
    ! [X16,X17,X18,X19,X20,X21] : lhs_atom125(X16,X17,X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_200]) ).

fof(c_0_400,plain,
    ! [X29,X30,X31,X32,X33,X34] : lhs_atom124(X29,X30,X31,X32,X33,X34),
    inference(variable_rename,[status(thm)],[c_0_201]) ).

fof(c_0_401,plain,
    ! [X16,X17,X18,X19,X20,X21] : lhs_atom78(X16,X17,X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_202]) ).

fof(c_0_402,plain,
    ! [X21,X22,X23,X24,X25,X26] : lhs_atom55(X21,X22,X23,X24,X25,X26),
    inference(variable_rename,[status(thm)],[c_0_203]) ).

fof(c_0_403,plain,
    ! [X16,X17,X18,X19,X20,X21] : lhs_atom54(X16,X17,X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_204]) ).

fof(c_0_404,plain,
    ! [X18,X19,X20,X21,X22,X23] : lhs_atom32(X18,X19,X20,X21,X22,X23),
    inference(variable_rename,[status(thm)],[c_0_205]) ).

fof(c_0_405,plain,
    ! [X16,X17,X18,X19,X20,X21] : lhs_atom26(X16,X17,X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_206]) ).

fof(c_0_406,plain,
    ! [X16,X17,X18,X19,X20] : lhs_atom159(X16,X17,X18,X19,X20),
    inference(variable_rename,[status(thm)],[c_0_207]) ).

fof(c_0_407,plain,
    ! [X8,X9,X10,X11,X12] : lhs_atom149(X8,X9,X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_208]) ).

fof(c_0_408,plain,
    ! [X8,X9,X10,X11,X12] : lhs_atom126(X8,X9,X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_209]) ).

fof(c_0_409,plain,
    ! [X8,X9,X10,X11,X12] : lhs_atom123(X8,X9,X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_210]) ).

fof(c_0_410,plain,
    ! [X8,X9,X10,X11,X12] : lhs_atom112(X8,X9,X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_211]) ).

fof(c_0_411,plain,
    ! [X8,X9,X10,X11,X12] : lhs_atom87(X8,X9,X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_212]) ).

fof(c_0_412,plain,
    ! [X8,X9,X10,X11,X12] : lhs_atom51(X8,X9,X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_213]) ).

fof(c_0_413,plain,
    ! [X8,X9,X10,X11,X12] : lhs_atom31(X8,X9,X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_214]) ).

fof(c_0_414,plain,
    ! [X8,X9,X10,X11,X12] : lhs_atom7(X8,X9,X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_215]) ).

fof(c_0_415,plain,
    ! [X10,X11,X12,X13] : lhs_atom160(X10,X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_216]) ).

fof(c_0_416,plain,
    ! [X5,X6,X7,X8] : lhs_atom150(X5,X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_217]) ).

fof(c_0_417,plain,
    ! [X5,X6,X7,X8] : lhs_atom147(X5,X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_218]) ).

fof(c_0_418,plain,
    ! [X5,X6,X7,X8] : lhs_atom146(X5,X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_219]) ).

fof(c_0_419,plain,
    ! [X8,X9,X10,X11] : lhs_atom131(X8,X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_220]) ).

fof(c_0_420,plain,
    ! [X8,X9,X10,X11] : lhs_atom127(X8,X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_221]) ).

fof(c_0_421,plain,
    ! [X16,X17,X18,X19] : lhs_atom108(X16,X17,X18,X19),
    inference(variable_rename,[status(thm)],[c_0_222]) ).

fof(c_0_422,plain,
    ! [X5,X6,X7,X8] : lhs_atom105(X5,X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_223]) ).

fof(c_0_423,plain,
    ! [X5,X6,X7,X8] : lhs_atom104(X5,X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_224]) ).

fof(c_0_424,plain,
    ! [X5,X6,X7,X8] : lhs_atom77(X5,X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_225]) ).

fof(c_0_425,plain,
    ! [X5,X6,X7,X8] : lhs_atom70(X5,X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_226]) ).

fof(c_0_426,plain,
    ! [X5,X6,X7,X8] : lhs_atom69(X5,X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_227]) ).

fof(c_0_427,plain,
    ! [X5,X6,X7,X8] : lhs_atom68(X5,X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_228]) ).

fof(c_0_428,plain,
    ! [X5,X6,X7,X8] : lhs_atom60(X5,X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_229]) ).

fof(c_0_429,plain,
    ! [X5,X6,X7,X8] : lhs_atom59(X5,X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_230]) ).

fof(c_0_430,plain,
    ! [X8,X9,X10,X11] : lhs_atom46(X8,X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_231]) ).

fof(c_0_431,plain,
    ! [X5,X6,X7,X8] : lhs_atom42(X5,X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_232]) ).

fof(c_0_432,plain,
    ! [X5,X6,X7,X8] : lhs_atom34(X5,X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_233]) ).

fof(c_0_433,plain,
    ! [X5,X6,X7,X8] : lhs_atom33(X5,X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_234]) ).

fof(c_0_434,plain,
    ! [X12,X13,X14,X15] : lhs_atom25(X12,X13,X14,X15),
    inference(variable_rename,[status(thm)],[c_0_235]) ).

fof(c_0_435,plain,
    ! [X6,X7,X8,X9] : lhs_atom15(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_236]) ).

fof(c_0_436,plain,
    ! [X9,X10,X11,X12] : lhs_atom14(X9,X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_237]) ).

fof(c_0_437,plain,
    ! [X6,X7,X8,X9] : lhs_atom12(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_238]) ).

fof(c_0_438,plain,
    ! [X6,X7,X8,X9] : lhs_atom11(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_239]) ).

fof(c_0_439,plain,
    ! [X8,X9,X10,X11] : lhs_atom8(X8,X9,X10,X11),
    inference(variable_rename,[status(thm)],[c_0_240]) ).

fof(c_0_440,plain,
    ! [X6,X7,X8,X9] : lhs_atom6(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_241]) ).

fof(c_0_441,plain,
    ! [X6,X7,X8,X9] : lhs_atom5(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_242]) ).

fof(c_0_442,plain,
    ! [X5,X6,X7,X8] : lhs_atom2(X5,X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_243]) ).

fof(c_0_443,plain,
    ! [X5,X6,X7,X8] : lhs_atom1(X5,X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_244]) ).

fof(c_0_444,plain,
    ! [X8,X9,X10] : lhs_atom155(X8,X9,X10),
    inference(variable_rename,[status(thm)],[c_0_245]) ).

fof(c_0_445,plain,
    ! [X8,X9,X10] : lhs_atom152(X8,X9,X10),
    inference(variable_rename,[status(thm)],[c_0_246]) ).

fof(c_0_446,plain,
    ! [X8,X9,X10] : lhs_atom139(X8,X9,X10),
    inference(variable_rename,[status(thm)],[c_0_247]) ).

fof(c_0_447,plain,
    ! [X8,X9,X10] : lhs_atom129(X8,X9,X10),
    inference(variable_rename,[status(thm)],[c_0_248]) ).

fof(c_0_448,plain,
    ! [X8,X9,X10] : lhs_atom129(X8,X9,X10),
    inference(variable_rename,[status(thm)],[c_0_249]) ).

fof(c_0_449,plain,
    ! [X5,X6,X7] : lhs_atom110(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_250]) ).

fof(c_0_450,plain,
    ! [X10,X11,X12] : lhs_atom106(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_251]) ).

fof(c_0_451,plain,
    ! [X5,X6,X7] : lhs_atom102(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_252]) ).

fof(c_0_452,plain,
    ! [X5,X6,X7] : lhs_atom101(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_253]) ).

fof(c_0_453,plain,
    ! [X6,X7,X8] : lhs_atom96(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_254]) ).

fof(c_0_454,plain,
    ! [X5,X6,X7] : lhs_atom91(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_255]) ).

fof(c_0_455,plain,
    ! [X5,X6,X7] : lhs_atom88(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_256]) ).

fof(c_0_456,plain,
    ! [X5,X6,X7] : lhs_atom86(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_257]) ).

fof(c_0_457,plain,
    ! [X5,X6,X7] : lhs_atom85(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_258]) ).

fof(c_0_458,plain,
    ! [X5,X6,X7] : lhs_atom83(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_259]) ).

fof(c_0_459,plain,
    ! [X6,X7,X8] : lhs_atom81(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_260]) ).

fof(c_0_460,plain,
    ! [X5,X6,X7] : lhs_atom80(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_261]) ).

fof(c_0_461,plain,
    ! [X5,X6,X7] : lhs_atom79(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_262]) ).

fof(c_0_462,plain,
    ! [X5,X6,X7] : lhs_atom75(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_263]) ).

fof(c_0_463,plain,
    ! [X5,X6,X7] : lhs_atom74(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_264]) ).

fof(c_0_464,plain,
    ! [X6,X7,X8] : lhs_atom49(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_265]) ).

fof(c_0_465,plain,
    ! [X6,X7,X8] : lhs_atom41(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_266]) ).

fof(c_0_466,plain,
    ! [X5,X6,X7] : lhs_atom40(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_267]) ).

fof(c_0_467,plain,
    ! [X5,X6,X7] : lhs_atom39(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_268]) ).

fof(c_0_468,plain,
    ! [X5,X6,X7] : lhs_atom38(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_269]) ).

fof(c_0_469,plain,
    ! [X5,X6,X7] : lhs_atom37(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_270]) ).

fof(c_0_470,plain,
    ! [X5,X6,X7] : lhs_atom30(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_271]) ).

fof(c_0_471,plain,
    ! [X17,X18,X19] : lhs_atom29(X17,X18,X19),
    inference(variable_rename,[status(thm)],[c_0_272]) ).

fof(c_0_472,plain,
    ! [X5,X6,X7] : lhs_atom28(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_273]) ).

fof(c_0_473,plain,
    ! [X10,X11,X12] : lhs_atom24(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_274]) ).

fof(c_0_474,plain,
    ! [X6,X7,X8] : lhs_atom23(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_275]) ).

fof(c_0_475,plain,
    ! [X10,X11,X12] : lhs_atom22(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_276]) ).

fof(c_0_476,plain,
    ! [X11,X12,X13] : lhs_atom19(X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_277]) ).

fof(c_0_477,plain,
    ! [X8,X9,X10] : lhs_atom18(X8,X9,X10),
    inference(variable_rename,[status(thm)],[c_0_278]) ).

fof(c_0_478,plain,
    ! [X10,X11,X12] : lhs_atom16(X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_279]) ).

fof(c_0_479,plain,
    ! [X6,X7,X8] : lhs_atom13(X6,X7,X8),
    inference(variable_rename,[status(thm)],[c_0_280]) ).

fof(c_0_480,plain,
    ! [X5,X6,X7] : lhs_atom10(X5,X6,X7),
    inference(variable_rename,[status(thm)],[c_0_281]) ).

fof(c_0_481,plain,
    ! [X10,X11] : lhs_atom198(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_282]) ).

fof(c_0_482,plain,
    ! [X10,X11] : lhs_atom163(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_283]) ).

fof(c_0_483,plain,
    ! [X31,X32] : lhs_atom156(X31,X32),
    inference(variable_rename,[status(thm)],[c_0_284]) ).

fof(c_0_484,plain,
    ! [X5,X6] : lhs_atom154(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_285]) ).

fof(c_0_485,plain,
    ! [X5,X6] : lhs_atom153(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_286]) ).

fof(c_0_486,plain,
    ! [X10,X11] : lhs_atom148(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_287]) ).

fof(c_0_487,plain,
    ! [X5,X6] : lhs_atom145(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_288]) ).

fof(c_0_488,plain,
    ! [X10,X11] : lhs_atom144(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_289]) ).

fof(c_0_489,plain,
    ! [X5,X6] : lhs_atom141(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_290]) ).

fof(c_0_490,plain,
    ! [X5,X6] : lhs_atom138(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_291]) ).

fof(c_0_491,plain,
    ! [X5,X6] : lhs_atom137(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_292]) ).

fof(c_0_492,plain,
    ! [X10,X11] : lhs_atom136(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_293]) ).

fof(c_0_493,plain,
    ! [X5,X6] : lhs_atom134(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_294]) ).

fof(c_0_494,plain,
    ! [X5,X6] : lhs_atom133(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_295]) ).

fof(c_0_495,plain,
    ! [X5,X6] : lhs_atom132(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_296]) ).

fof(c_0_496,plain,
    ! [X22,X23] : lhs_atom130(X22,X23),
    inference(variable_rename,[status(thm)],[c_0_297]) ).

fof(c_0_497,plain,
    ! [X22,X23] : lhs_atom128(X22,X23),
    inference(variable_rename,[status(thm)],[c_0_298]) ).

fof(c_0_498,plain,
    ! [X5,X6] : lhs_atom100(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_299]) ).

fof(c_0_499,plain,
    ! [X10,X11] : lhs_atom99(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_300]) ).

fof(c_0_500,plain,
    ! [X24,X25] : lhs_atom98(X24,X25),
    inference(variable_rename,[status(thm)],[c_0_301]) ).

fof(c_0_501,plain,
    ! [X6,X7] : lhs_atom97(X6,X7),
    inference(variable_rename,[status(thm)],[c_0_302]) ).

fof(c_0_502,plain,
    ! [X5,X6] : lhs_atom90(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_303]) ).

fof(c_0_503,plain,
    ! [X10,X11] : lhs_atom89(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_304]) ).

fof(c_0_504,plain,
    ! [X5,X6] : lhs_atom76(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_305]) ).

fof(c_0_505,plain,
    ! [X10,X11] : lhs_atom67(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_306]) ).

fof(c_0_506,plain,
    ! [X5,X6] : lhs_atom64(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_307]) ).

fof(c_0_507,plain,
    ! [X5,X6] : lhs_atom63(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_308]) ).

fof(c_0_508,plain,
    ! [X5,X6] : lhs_atom62(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_309]) ).

fof(c_0_509,plain,
    ! [X22,X23] : lhs_atom58(X22,X23),
    inference(variable_rename,[status(thm)],[c_0_310]) ).

fof(c_0_510,plain,
    ! [X5,X6] : lhs_atom56(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_311]) ).

fof(c_0_511,plain,
    ! [X5,X6] : lhs_atom53(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_312]) ).

fof(c_0_512,plain,
    ! [X5,X6] : lhs_atom52(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_313]) ).

fof(c_0_513,plain,
    ! [X5,X6] : lhs_atom48(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_314]) ).

fof(c_0_514,plain,
    ! [X5,X6] : lhs_atom47(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_315]) ).

fof(c_0_515,plain,
    ! [X5,X6] : lhs_atom45(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_316]) ).

fof(c_0_516,plain,
    ! [X5,X6] : lhs_atom44(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_317]) ).

fof(c_0_517,plain,
    ! [X15,X16] : lhs_atom27(X15,X16),
    inference(variable_rename,[status(thm)],[c_0_318]) ).

fof(c_0_518,plain,
    ! [X5,X6] : lhs_atom20(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_319]) ).

fof(c_0_519,plain,
    ! [X5,X6] : lhs_atom9(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_320]) ).

fof(c_0_520,plain,
    ! [X5,X6] : lhs_atom4(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_321]) ).

fof(c_0_521,plain,
    ! [X5,X6] : lhs_atom3(X5,X6),
    inference(variable_rename,[status(thm)],[c_0_322]) ).

fof(c_0_522,plain,
    ! [X19] : lhs_atom162(X19),
    inference(variable_rename,[status(thm)],[c_0_323]) ).

fof(c_0_523,plain,
    ! [X27] : lhs_atom161(X27),
    inference(variable_rename,[status(thm)],[c_0_324]) ).

fof(c_0_524,plain,
    ! [X5] : lhs_atom158(X5),
    inference(variable_rename,[status(thm)],[c_0_325]) ).

fof(c_0_525,plain,
    ! [X5] : lhs_atom151(X5),
    inference(variable_rename,[status(thm)],[c_0_326]) ).

fof(c_0_526,plain,
    ! [X10] : lhs_atom143(X10),
    inference(variable_rename,[status(thm)],[c_0_327]) ).

fof(c_0_527,plain,
    ! [X19] : lhs_atom142(X19),
    inference(variable_rename,[status(thm)],[c_0_328]) ).

fof(c_0_528,plain,
    ! [X19] : lhs_atom140(X19),
    inference(variable_rename,[status(thm)],[c_0_329]) ).

fof(c_0_529,plain,
    ! [X5] : lhs_atom135(X5),
    inference(variable_rename,[status(thm)],[c_0_330]) ).

fof(c_0_530,plain,
    ! [X5] : lhs_atom122(X5),
    inference(variable_rename,[status(thm)],[c_0_331]) ).

fof(c_0_531,plain,
    ! [X19] : lhs_atom121(X19),
    inference(variable_rename,[status(thm)],[c_0_332]) ).

fof(c_0_532,plain,
    ! [X19] : lhs_atom120(X19),
    inference(variable_rename,[status(thm)],[c_0_333]) ).

fof(c_0_533,plain,
    ! [X27] : lhs_atom119(X27),
    inference(variable_rename,[status(thm)],[c_0_334]) ).

fof(c_0_534,plain,
    ! [X28] : lhs_atom118(X28),
    inference(variable_rename,[status(thm)],[c_0_335]) ).

fof(c_0_535,plain,
    ! [X27] : lhs_atom117(X27),
    inference(variable_rename,[status(thm)],[c_0_336]) ).

fof(c_0_536,plain,
    ! [X28] : lhs_atom116(X28),
    inference(variable_rename,[status(thm)],[c_0_337]) ).

fof(c_0_537,plain,
    ! [X27] : lhs_atom115(X27),
    inference(variable_rename,[status(thm)],[c_0_338]) ).

fof(c_0_538,plain,
    ! [X19] : lhs_atom111(X19),
    inference(variable_rename,[status(thm)],[c_0_339]) ).

fof(c_0_539,plain,
    ! [X5] : lhs_atom109(X5),
    inference(variable_rename,[status(thm)],[c_0_340]) ).

fof(c_0_540,plain,
    ! [X19] : lhs_atom107(X19),
    inference(variable_rename,[status(thm)],[c_0_341]) ).

fof(c_0_541,plain,
    ! [X5] : lhs_atom95(X5),
    inference(variable_rename,[status(thm)],[c_0_342]) ).

fof(c_0_542,plain,
    ! [X10] : lhs_atom93(X10),
    inference(variable_rename,[status(thm)],[c_0_343]) ).

fof(c_0_543,plain,
    ! [X19] : lhs_atom92(X19),
    inference(variable_rename,[status(thm)],[c_0_344]) ).

fof(c_0_544,plain,
    ! [X5] : lhs_atom84(X5),
    inference(variable_rename,[status(thm)],[c_0_345]) ).

fof(c_0_545,plain,
    ! [X19] : lhs_atom82(X19),
    inference(variable_rename,[status(thm)],[c_0_346]) ).

fof(c_0_546,plain,
    ! [X23] : lhs_atom73(X23),
    inference(variable_rename,[status(thm)],[c_0_347]) ).

fof(c_0_547,plain,
    ! [X19] : lhs_atom72(X19),
    inference(variable_rename,[status(thm)],[c_0_348]) ).

fof(c_0_548,plain,
    ! [X10] : lhs_atom71(X10),
    inference(variable_rename,[status(thm)],[c_0_349]) ).

fof(c_0_549,plain,
    ! [X5] : lhs_atom66(X5),
    inference(variable_rename,[status(thm)],[c_0_350]) ).

fof(c_0_550,plain,
    ! [X5] : lhs_atom50(X5),
    inference(variable_rename,[status(thm)],[c_0_351]) ).

fof(c_0_551,plain,
    ! [X5] : lhs_atom43(X5),
    inference(variable_rename,[status(thm)],[c_0_352]) ).

fof(c_0_552,plain,
    ! [X10] : lhs_atom36(X10),
    inference(variable_rename,[status(thm)],[c_0_353]) ).

fof(c_0_553,plain,
    ! [X19] : lhs_atom35(X19),
    inference(variable_rename,[status(thm)],[c_0_354]) ).

fof(c_0_554,plain,
    ! [X5] : lhs_atom21(X5),
    inference(variable_rename,[status(thm)],[c_0_355]) ).

fof(c_0_555,plain,
    ! [X5] : lhs_atom17(X5),
    inference(variable_rename,[status(thm)],[c_0_356]) ).

fof(c_0_556,plain,
    lhs_atom197,
    c_0_357 ).

fof(c_0_557,plain,
    lhs_atom196,
    c_0_358 ).

fof(c_0_558,plain,
    lhs_atom195,
    c_0_359 ).

fof(c_0_559,plain,
    lhs_atom194,
    c_0_360 ).

fof(c_0_560,plain,
    lhs_atom193,
    c_0_361 ).

fof(c_0_561,plain,
    lhs_atom192,
    c_0_362 ).

fof(c_0_562,plain,
    lhs_atom191,
    c_0_363 ).

fof(c_0_563,plain,
    lhs_atom190,
    c_0_364 ).

fof(c_0_564,plain,
    lhs_atom189,
    c_0_365 ).

fof(c_0_565,plain,
    lhs_atom188,
    c_0_366 ).

fof(c_0_566,plain,
    lhs_atom187,
    c_0_367 ).

fof(c_0_567,plain,
    lhs_atom186,
    c_0_368 ).

fof(c_0_568,plain,
    lhs_atom185,
    c_0_369 ).

fof(c_0_569,plain,
    lhs_atom184,
    c_0_370 ).

fof(c_0_570,plain,
    lhs_atom183,
    c_0_371 ).

fof(c_0_571,plain,
    lhs_atom182,
    c_0_372 ).

fof(c_0_572,plain,
    lhs_atom181,
    c_0_373 ).

fof(c_0_573,plain,
    lhs_atom180,
    c_0_374 ).

fof(c_0_574,plain,
    lhs_atom179,
    c_0_375 ).

fof(c_0_575,plain,
    lhs_atom178,
    c_0_376 ).

fof(c_0_576,plain,
    lhs_atom177,
    c_0_377 ).

fof(c_0_577,plain,
    lhs_atom176,
    c_0_378 ).

fof(c_0_578,plain,
    lhs_atom175,
    c_0_379 ).

fof(c_0_579,plain,
    lhs_atom174,
    c_0_380 ).

fof(c_0_580,plain,
    lhs_atom173,
    c_0_381 ).

fof(c_0_581,plain,
    lhs_atom172,
    c_0_382 ).

fof(c_0_582,plain,
    lhs_atom171,
    c_0_383 ).

fof(c_0_583,plain,
    lhs_atom170,
    c_0_384 ).

fof(c_0_584,plain,
    lhs_atom169,
    c_0_385 ).

fof(c_0_585,plain,
    lhs_atom168,
    c_0_386 ).

fof(c_0_586,plain,
    lhs_atom167,
    c_0_387 ).

fof(c_0_587,plain,
    lhs_atom166,
    c_0_388 ).

fof(c_0_588,plain,
    lhs_atom165,
    c_0_389 ).

fof(c_0_589,plain,
    lhs_atom164,
    c_0_390 ).

fof(c_0_590,plain,
    lhs_atom157,
    c_0_391 ).

fof(c_0_591,plain,
    lhs_atom114,
    c_0_392 ).

fof(c_0_592,plain,
    lhs_atom113,
    c_0_393 ).

fof(c_0_593,plain,
    lhs_atom94,
    c_0_394 ).

fof(c_0_594,plain,
    lhs_atom65,
    c_0_395 ).

fof(c_0_595,plain,
    lhs_atom61,
    c_0_396 ).

fof(c_0_596,plain,
    lhs_atom57,
    c_0_397 ).

cnf(c_0_597,plain,
    lhs_atom103(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_398]) ).

cnf(c_0_598,plain,
    lhs_atom125(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_399]) ).

cnf(c_0_599,plain,
    lhs_atom124(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_400]) ).

cnf(c_0_600,plain,
    lhs_atom78(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_401]) ).

cnf(c_0_601,plain,
    lhs_atom55(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_402]) ).

cnf(c_0_602,plain,
    lhs_atom54(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_403]) ).

cnf(c_0_603,plain,
    lhs_atom32(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_404]) ).

cnf(c_0_604,plain,
    lhs_atom26(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_405]) ).

cnf(c_0_605,plain,
    lhs_atom159(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_406]) ).

cnf(c_0_606,plain,
    lhs_atom149(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_407]) ).

cnf(c_0_607,plain,
    lhs_atom126(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_408]) ).

cnf(c_0_608,plain,
    lhs_atom123(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_409]) ).

cnf(c_0_609,plain,
    lhs_atom112(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_410]) ).

cnf(c_0_610,plain,
    lhs_atom87(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_411]) ).

cnf(c_0_611,plain,
    lhs_atom51(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_412]) ).

cnf(c_0_612,plain,
    lhs_atom31(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_413]) ).

cnf(c_0_613,plain,
    lhs_atom7(X1,X2,X3,X4,X5),
    inference(split_conjunct,[status(thm)],[c_0_414]) ).

cnf(c_0_614,plain,
    lhs_atom160(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_415]) ).

cnf(c_0_615,plain,
    lhs_atom150(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_416]) ).

cnf(c_0_616,plain,
    lhs_atom147(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_417]) ).

cnf(c_0_617,plain,
    lhs_atom146(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_418]) ).

cnf(c_0_618,plain,
    lhs_atom131(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_419]) ).

cnf(c_0_619,plain,
    lhs_atom127(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_420]) ).

cnf(c_0_620,plain,
    lhs_atom108(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_421]) ).

cnf(c_0_621,plain,
    lhs_atom105(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_422]) ).

cnf(c_0_622,plain,
    lhs_atom104(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_423]) ).

cnf(c_0_623,plain,
    lhs_atom77(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_424]) ).

cnf(c_0_624,plain,
    lhs_atom70(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_425]) ).

cnf(c_0_625,plain,
    lhs_atom69(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_426]) ).

cnf(c_0_626,plain,
    lhs_atom68(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_427]) ).

cnf(c_0_627,plain,
    lhs_atom60(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_428]) ).

cnf(c_0_628,plain,
    lhs_atom59(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_429]) ).

cnf(c_0_629,plain,
    lhs_atom46(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_430]) ).

cnf(c_0_630,plain,
    lhs_atom42(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_431]) ).

cnf(c_0_631,plain,
    lhs_atom34(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_432]) ).

cnf(c_0_632,plain,
    lhs_atom33(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_433]) ).

cnf(c_0_633,plain,
    lhs_atom25(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_434]) ).

cnf(c_0_634,plain,
    lhs_atom15(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_435]) ).

cnf(c_0_635,plain,
    lhs_atom14(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_436]) ).

cnf(c_0_636,plain,
    lhs_atom12(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_437]) ).

cnf(c_0_637,plain,
    lhs_atom11(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_438]) ).

cnf(c_0_638,plain,
    lhs_atom8(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_439]) ).

cnf(c_0_639,plain,
    lhs_atom6(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_440]) ).

cnf(c_0_640,plain,
    lhs_atom5(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_441]) ).

cnf(c_0_641,plain,
    lhs_atom2(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_442]) ).

cnf(c_0_642,plain,
    lhs_atom1(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_443]) ).

cnf(c_0_643,plain,
    lhs_atom155(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_444]) ).

cnf(c_0_644,plain,
    lhs_atom152(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_445]) ).

cnf(c_0_645,plain,
    lhs_atom139(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_446]) ).

cnf(c_0_646,plain,
    lhs_atom129(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_447]) ).

cnf(c_0_647,plain,
    lhs_atom129(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_448]) ).

cnf(c_0_648,plain,
    lhs_atom110(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_449]) ).

cnf(c_0_649,plain,
    lhs_atom106(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_450]) ).

cnf(c_0_650,plain,
    lhs_atom102(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_451]) ).

cnf(c_0_651,plain,
    lhs_atom101(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_452]) ).

cnf(c_0_652,plain,
    lhs_atom96(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_453]) ).

cnf(c_0_653,plain,
    lhs_atom91(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_454]) ).

cnf(c_0_654,plain,
    lhs_atom88(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_455]) ).

cnf(c_0_655,plain,
    lhs_atom86(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_456]) ).

cnf(c_0_656,plain,
    lhs_atom85(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_457]) ).

cnf(c_0_657,plain,
    lhs_atom83(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_458]) ).

cnf(c_0_658,plain,
    lhs_atom81(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_459]) ).

cnf(c_0_659,plain,
    lhs_atom80(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_460]) ).

cnf(c_0_660,plain,
    lhs_atom79(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_461]) ).

cnf(c_0_661,plain,
    lhs_atom75(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_462]) ).

cnf(c_0_662,plain,
    lhs_atom74(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_463]) ).

cnf(c_0_663,plain,
    lhs_atom49(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_464]) ).

cnf(c_0_664,plain,
    lhs_atom41(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_465]) ).

cnf(c_0_665,plain,
    lhs_atom40(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_466]) ).

cnf(c_0_666,plain,
    lhs_atom39(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_467]) ).

cnf(c_0_667,plain,
    lhs_atom38(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_468]) ).

cnf(c_0_668,plain,
    lhs_atom37(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_469]) ).

cnf(c_0_669,plain,
    lhs_atom30(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_470]) ).

cnf(c_0_670,plain,
    lhs_atom29(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_471]) ).

cnf(c_0_671,plain,
    lhs_atom28(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_472]) ).

cnf(c_0_672,plain,
    lhs_atom24(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_473]) ).

cnf(c_0_673,plain,
    lhs_atom23(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_474]) ).

cnf(c_0_674,plain,
    lhs_atom22(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_475]) ).

cnf(c_0_675,plain,
    lhs_atom19(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_476]) ).

cnf(c_0_676,plain,
    lhs_atom18(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_477]) ).

cnf(c_0_677,plain,
    lhs_atom16(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_478]) ).

cnf(c_0_678,plain,
    lhs_atom13(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_479]) ).

cnf(c_0_679,plain,
    lhs_atom10(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_480]) ).

cnf(c_0_680,plain,
    lhs_atom198(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_481]) ).

cnf(c_0_681,plain,
    lhs_atom163(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_482]) ).

cnf(c_0_682,plain,
    lhs_atom156(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_483]) ).

cnf(c_0_683,plain,
    lhs_atom154(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_484]) ).

cnf(c_0_684,plain,
    lhs_atom153(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_485]) ).

cnf(c_0_685,plain,
    lhs_atom148(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_486]) ).

cnf(c_0_686,plain,
    lhs_atom145(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_487]) ).

cnf(c_0_687,plain,
    lhs_atom144(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_488]) ).

cnf(c_0_688,plain,
    lhs_atom141(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_489]) ).

cnf(c_0_689,plain,
    lhs_atom138(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_490]) ).

cnf(c_0_690,plain,
    lhs_atom137(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_491]) ).

cnf(c_0_691,plain,
    lhs_atom136(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_492]) ).

cnf(c_0_692,plain,
    lhs_atom134(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_493]) ).

cnf(c_0_693,plain,
    lhs_atom133(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_494]) ).

cnf(c_0_694,plain,
    lhs_atom132(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_495]) ).

cnf(c_0_695,plain,
    lhs_atom130(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_496]) ).

cnf(c_0_696,plain,
    lhs_atom128(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_497]) ).

cnf(c_0_697,plain,
    lhs_atom100(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_498]) ).

cnf(c_0_698,plain,
    lhs_atom99(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_499]) ).

cnf(c_0_699,plain,
    lhs_atom98(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_500]) ).

cnf(c_0_700,plain,
    lhs_atom97(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_501]) ).

cnf(c_0_701,plain,
    lhs_atom90(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_502]) ).

cnf(c_0_702,plain,
    lhs_atom89(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_503]) ).

cnf(c_0_703,plain,
    lhs_atom76(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_504]) ).

cnf(c_0_704,plain,
    lhs_atom67(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_505]) ).

cnf(c_0_705,plain,
    lhs_atom64(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_506]) ).

cnf(c_0_706,plain,
    lhs_atom63(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_507]) ).

cnf(c_0_707,plain,
    lhs_atom62(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_508]) ).

cnf(c_0_708,plain,
    lhs_atom58(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_509]) ).

cnf(c_0_709,plain,
    lhs_atom56(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_510]) ).

cnf(c_0_710,plain,
    lhs_atom53(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_511]) ).

cnf(c_0_711,plain,
    lhs_atom52(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_512]) ).

cnf(c_0_712,plain,
    lhs_atom48(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_513]) ).

cnf(c_0_713,plain,
    lhs_atom47(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_514]) ).

cnf(c_0_714,plain,
    lhs_atom45(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_515]) ).

cnf(c_0_715,plain,
    lhs_atom44(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_516]) ).

cnf(c_0_716,plain,
    lhs_atom27(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_517]) ).

cnf(c_0_717,plain,
    lhs_atom20(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_518]) ).

cnf(c_0_718,plain,
    lhs_atom9(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_519]) ).

cnf(c_0_719,plain,
    lhs_atom4(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_520]) ).

cnf(c_0_720,plain,
    lhs_atom3(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_521]) ).

cnf(c_0_721,plain,
    lhs_atom162(X1),
    inference(split_conjunct,[status(thm)],[c_0_522]) ).

cnf(c_0_722,plain,
    lhs_atom161(X1),
    inference(split_conjunct,[status(thm)],[c_0_523]) ).

cnf(c_0_723,plain,
    lhs_atom158(X1),
    inference(split_conjunct,[status(thm)],[c_0_524]) ).

cnf(c_0_724,plain,
    lhs_atom151(X1),
    inference(split_conjunct,[status(thm)],[c_0_525]) ).

cnf(c_0_725,plain,
    lhs_atom143(X1),
    inference(split_conjunct,[status(thm)],[c_0_526]) ).

cnf(c_0_726,plain,
    lhs_atom142(X1),
    inference(split_conjunct,[status(thm)],[c_0_527]) ).

cnf(c_0_727,plain,
    lhs_atom140(X1),
    inference(split_conjunct,[status(thm)],[c_0_528]) ).

cnf(c_0_728,plain,
    lhs_atom135(X1),
    inference(split_conjunct,[status(thm)],[c_0_529]) ).

cnf(c_0_729,plain,
    lhs_atom122(X1),
    inference(split_conjunct,[status(thm)],[c_0_530]) ).

cnf(c_0_730,plain,
    lhs_atom121(X1),
    inference(split_conjunct,[status(thm)],[c_0_531]) ).

cnf(c_0_731,plain,
    lhs_atom120(X1),
    inference(split_conjunct,[status(thm)],[c_0_532]) ).

cnf(c_0_732,plain,
    lhs_atom119(X1),
    inference(split_conjunct,[status(thm)],[c_0_533]) ).

cnf(c_0_733,plain,
    lhs_atom118(X1),
    inference(split_conjunct,[status(thm)],[c_0_534]) ).

cnf(c_0_734,plain,
    lhs_atom117(X1),
    inference(split_conjunct,[status(thm)],[c_0_535]) ).

cnf(c_0_735,plain,
    lhs_atom116(X1),
    inference(split_conjunct,[status(thm)],[c_0_536]) ).

cnf(c_0_736,plain,
    lhs_atom115(X1),
    inference(split_conjunct,[status(thm)],[c_0_537]) ).

cnf(c_0_737,plain,
    lhs_atom111(X1),
    inference(split_conjunct,[status(thm)],[c_0_538]) ).

cnf(c_0_738,plain,
    lhs_atom109(X1),
    inference(split_conjunct,[status(thm)],[c_0_539]) ).

cnf(c_0_739,plain,
    lhs_atom107(X1),
    inference(split_conjunct,[status(thm)],[c_0_540]) ).

cnf(c_0_740,plain,
    lhs_atom95(X1),
    inference(split_conjunct,[status(thm)],[c_0_541]) ).

cnf(c_0_741,plain,
    lhs_atom93(X1),
    inference(split_conjunct,[status(thm)],[c_0_542]) ).

cnf(c_0_742,plain,
    lhs_atom92(X1),
    inference(split_conjunct,[status(thm)],[c_0_543]) ).

cnf(c_0_743,plain,
    lhs_atom84(X1),
    inference(split_conjunct,[status(thm)],[c_0_544]) ).

cnf(c_0_744,plain,
    lhs_atom82(X1),
    inference(split_conjunct,[status(thm)],[c_0_545]) ).

cnf(c_0_745,plain,
    lhs_atom73(X1),
    inference(split_conjunct,[status(thm)],[c_0_546]) ).

cnf(c_0_746,plain,
    lhs_atom72(X1),
    inference(split_conjunct,[status(thm)],[c_0_547]) ).

cnf(c_0_747,plain,
    lhs_atom71(X1),
    inference(split_conjunct,[status(thm)],[c_0_548]) ).

cnf(c_0_748,plain,
    lhs_atom66(X1),
    inference(split_conjunct,[status(thm)],[c_0_549]) ).

cnf(c_0_749,plain,
    lhs_atom50(X1),
    inference(split_conjunct,[status(thm)],[c_0_550]) ).

cnf(c_0_750,plain,
    lhs_atom43(X1),
    inference(split_conjunct,[status(thm)],[c_0_551]) ).

cnf(c_0_751,plain,
    lhs_atom36(X1),
    inference(split_conjunct,[status(thm)],[c_0_552]) ).

cnf(c_0_752,plain,
    lhs_atom35(X1),
    inference(split_conjunct,[status(thm)],[c_0_553]) ).

cnf(c_0_753,plain,
    lhs_atom21(X1),
    inference(split_conjunct,[status(thm)],[c_0_554]) ).

cnf(c_0_754,plain,
    lhs_atom17(X1),
    inference(split_conjunct,[status(thm)],[c_0_555]) ).

cnf(c_0_755,plain,
    lhs_atom197,
    inference(split_conjunct,[status(thm)],[c_0_556]) ).

cnf(c_0_756,plain,
    lhs_atom196,
    inference(split_conjunct,[status(thm)],[c_0_557]) ).

cnf(c_0_757,plain,
    lhs_atom195,
    inference(split_conjunct,[status(thm)],[c_0_558]) ).

cnf(c_0_758,plain,
    lhs_atom194,
    inference(split_conjunct,[status(thm)],[c_0_559]) ).

cnf(c_0_759,plain,
    lhs_atom193,
    inference(split_conjunct,[status(thm)],[c_0_560]) ).

cnf(c_0_760,plain,
    lhs_atom192,
    inference(split_conjunct,[status(thm)],[c_0_561]) ).

cnf(c_0_761,plain,
    lhs_atom191,
    inference(split_conjunct,[status(thm)],[c_0_562]) ).

cnf(c_0_762,plain,
    lhs_atom190,
    inference(split_conjunct,[status(thm)],[c_0_563]) ).

cnf(c_0_763,plain,
    lhs_atom189,
    inference(split_conjunct,[status(thm)],[c_0_564]) ).

cnf(c_0_764,plain,
    lhs_atom188,
    inference(split_conjunct,[status(thm)],[c_0_565]) ).

cnf(c_0_765,plain,
    lhs_atom187,
    inference(split_conjunct,[status(thm)],[c_0_566]) ).

cnf(c_0_766,plain,
    lhs_atom186,
    inference(split_conjunct,[status(thm)],[c_0_567]) ).

cnf(c_0_767,plain,
    lhs_atom185,
    inference(split_conjunct,[status(thm)],[c_0_568]) ).

cnf(c_0_768,plain,
    lhs_atom184,
    inference(split_conjunct,[status(thm)],[c_0_569]) ).

cnf(c_0_769,plain,
    lhs_atom183,
    inference(split_conjunct,[status(thm)],[c_0_570]) ).

cnf(c_0_770,plain,
    lhs_atom182,
    inference(split_conjunct,[status(thm)],[c_0_571]) ).

cnf(c_0_771,plain,
    lhs_atom181,
    inference(split_conjunct,[status(thm)],[c_0_572]) ).

cnf(c_0_772,plain,
    lhs_atom180,
    inference(split_conjunct,[status(thm)],[c_0_573]) ).

cnf(c_0_773,plain,
    lhs_atom179,
    inference(split_conjunct,[status(thm)],[c_0_574]) ).

cnf(c_0_774,plain,
    lhs_atom178,
    inference(split_conjunct,[status(thm)],[c_0_575]) ).

cnf(c_0_775,plain,
    lhs_atom177,
    inference(split_conjunct,[status(thm)],[c_0_576]) ).

cnf(c_0_776,plain,
    lhs_atom176,
    inference(split_conjunct,[status(thm)],[c_0_577]) ).

cnf(c_0_777,plain,
    lhs_atom175,
    inference(split_conjunct,[status(thm)],[c_0_578]) ).

cnf(c_0_778,plain,
    lhs_atom174,
    inference(split_conjunct,[status(thm)],[c_0_579]) ).

cnf(c_0_779,plain,
    lhs_atom173,
    inference(split_conjunct,[status(thm)],[c_0_580]) ).

cnf(c_0_780,plain,
    lhs_atom172,
    inference(split_conjunct,[status(thm)],[c_0_581]) ).

cnf(c_0_781,plain,
    lhs_atom171,
    inference(split_conjunct,[status(thm)],[c_0_582]) ).

cnf(c_0_782,plain,
    lhs_atom170,
    inference(split_conjunct,[status(thm)],[c_0_583]) ).

cnf(c_0_783,plain,
    lhs_atom169,
    inference(split_conjunct,[status(thm)],[c_0_584]) ).

cnf(c_0_784,plain,
    lhs_atom168,
    inference(split_conjunct,[status(thm)],[c_0_585]) ).

cnf(c_0_785,plain,
    lhs_atom167,
    inference(split_conjunct,[status(thm)],[c_0_586]) ).

cnf(c_0_786,plain,
    lhs_atom166,
    inference(split_conjunct,[status(thm)],[c_0_587]) ).

cnf(c_0_787,plain,
    lhs_atom165,
    inference(split_conjunct,[status(thm)],[c_0_588]) ).

cnf(c_0_788,plain,
    lhs_atom164,
    inference(split_conjunct,[status(thm)],[c_0_589]) ).

cnf(c_0_789,plain,
    lhs_atom157,
    inference(split_conjunct,[status(thm)],[c_0_590]) ).

cnf(c_0_790,plain,
    lhs_atom114,
    inference(split_conjunct,[status(thm)],[c_0_591]) ).

cnf(c_0_791,plain,
    lhs_atom113,
    inference(split_conjunct,[status(thm)],[c_0_592]) ).

cnf(c_0_792,plain,
    lhs_atom94,
    inference(split_conjunct,[status(thm)],[c_0_593]) ).

cnf(c_0_793,plain,
    lhs_atom65,
    inference(split_conjunct,[status(thm)],[c_0_594]) ).

cnf(c_0_794,plain,
    lhs_atom61,
    inference(split_conjunct,[status(thm)],[c_0_595]) ).

cnf(c_0_795,plain,
    lhs_atom57,
    inference(split_conjunct,[status(thm)],[c_0_596]) ).

cnf(c_0_796,plain,
    lhs_atom103(X1,X2,X3,X4,X5,X6,X7),
    c_0_597,
    [final] ).

cnf(c_0_797,plain,
    lhs_atom125(X1,X2,X3,X4,X5,X6),
    c_0_598,
    [final] ).

cnf(c_0_798,plain,
    lhs_atom124(X1,X2,X3,X4,X5,X6),
    c_0_599,
    [final] ).

cnf(c_0_799,plain,
    lhs_atom78(X1,X2,X3,X4,X5,X6),
    c_0_600,
    [final] ).

cnf(c_0_800,plain,
    lhs_atom55(X1,X2,X3,X4,X5,X6),
    c_0_601,
    [final] ).

cnf(c_0_801,plain,
    lhs_atom54(X1,X2,X3,X4,X5,X6),
    c_0_602,
    [final] ).

cnf(c_0_802,plain,
    lhs_atom32(X1,X2,X3,X4,X5,X6),
    c_0_603,
    [final] ).

cnf(c_0_803,plain,
    lhs_atom26(X1,X2,X3,X4,X5,X6),
    c_0_604,
    [final] ).

cnf(c_0_804,plain,
    lhs_atom159(X1,X2,X3,X4,X5),
    c_0_605,
    [final] ).

cnf(c_0_805,plain,
    lhs_atom149(X1,X2,X3,X4,X5),
    c_0_606,
    [final] ).

cnf(c_0_806,plain,
    lhs_atom126(X1,X2,X3,X4,X5),
    c_0_607,
    [final] ).

cnf(c_0_807,plain,
    lhs_atom123(X1,X2,X3,X4,X5),
    c_0_608,
    [final] ).

cnf(c_0_808,plain,
    lhs_atom112(X1,X2,X3,X4,X5),
    c_0_609,
    [final] ).

cnf(c_0_809,plain,
    lhs_atom87(X1,X2,X3,X4,X5),
    c_0_610,
    [final] ).

cnf(c_0_810,plain,
    lhs_atom51(X1,X2,X3,X4,X5),
    c_0_611,
    [final] ).

cnf(c_0_811,plain,
    lhs_atom31(X1,X2,X3,X4,X5),
    c_0_612,
    [final] ).

cnf(c_0_812,plain,
    lhs_atom7(X1,X2,X3,X4,X5),
    c_0_613,
    [final] ).

cnf(c_0_813,plain,
    lhs_atom160(X1,X2,X3,X4),
    c_0_614,
    [final] ).

cnf(c_0_814,plain,
    lhs_atom150(X1,X2,X3,X4),
    c_0_615,
    [final] ).

cnf(c_0_815,plain,
    lhs_atom147(X1,X2,X3,X4),
    c_0_616,
    [final] ).

cnf(c_0_816,plain,
    lhs_atom146(X1,X2,X3,X4),
    c_0_617,
    [final] ).

cnf(c_0_817,plain,
    lhs_atom131(X1,X2,X3,X4),
    c_0_618,
    [final] ).

cnf(c_0_818,plain,
    lhs_atom127(X1,X2,X3,X4),
    c_0_619,
    [final] ).

cnf(c_0_819,plain,
    lhs_atom108(X1,X2,X3,X4),
    c_0_620,
    [final] ).

cnf(c_0_820,plain,
    lhs_atom105(X1,X2,X3,X4),
    c_0_621,
    [final] ).

cnf(c_0_821,plain,
    lhs_atom104(X1,X2,X3,X4),
    c_0_622,
    [final] ).

cnf(c_0_822,plain,
    lhs_atom77(X1,X2,X3,X4),
    c_0_623,
    [final] ).

cnf(c_0_823,plain,
    lhs_atom70(X1,X2,X3,X4),
    c_0_624,
    [final] ).

cnf(c_0_824,plain,
    lhs_atom69(X1,X2,X3,X4),
    c_0_625,
    [final] ).

cnf(c_0_825,plain,
    lhs_atom68(X1,X2,X3,X4),
    c_0_626,
    [final] ).

cnf(c_0_826,plain,
    lhs_atom60(X1,X2,X3,X4),
    c_0_627,
    [final] ).

cnf(c_0_827,plain,
    lhs_atom59(X1,X2,X3,X4),
    c_0_628,
    [final] ).

cnf(c_0_828,plain,
    lhs_atom46(X1,X2,X3,X4),
    c_0_629,
    [final] ).

cnf(c_0_829,plain,
    lhs_atom42(X1,X2,X3,X4),
    c_0_630,
    [final] ).

cnf(c_0_830,plain,
    lhs_atom34(X1,X2,X3,X4),
    c_0_631,
    [final] ).

cnf(c_0_831,plain,
    lhs_atom33(X1,X2,X3,X4),
    c_0_632,
    [final] ).

cnf(c_0_832,plain,
    lhs_atom25(X1,X2,X3,X4),
    c_0_633,
    [final] ).

cnf(c_0_833,plain,
    lhs_atom15(X1,X2,X3,X4),
    c_0_634,
    [final] ).

cnf(c_0_834,plain,
    lhs_atom14(X1,X2,X3,X4),
    c_0_635,
    [final] ).

cnf(c_0_835,plain,
    lhs_atom12(X1,X2,X3,X4),
    c_0_636,
    [final] ).

cnf(c_0_836,plain,
    lhs_atom11(X1,X2,X3,X4),
    c_0_637,
    [final] ).

cnf(c_0_837,plain,
    lhs_atom8(X1,X2,X3,X4),
    c_0_638,
    [final] ).

cnf(c_0_838,plain,
    lhs_atom6(X1,X2,X3,X4),
    c_0_639,
    [final] ).

cnf(c_0_839,plain,
    lhs_atom5(X1,X2,X3,X4),
    c_0_640,
    [final] ).

cnf(c_0_840,plain,
    lhs_atom2(X1,X2,X3,X4),
    c_0_641,
    [final] ).

cnf(c_0_841,plain,
    lhs_atom1(X1,X2,X3,X4),
    c_0_642,
    [final] ).

cnf(c_0_842,plain,
    lhs_atom155(X1,X2,X3),
    c_0_643,
    [final] ).

cnf(c_0_843,plain,
    lhs_atom152(X1,X2,X3),
    c_0_644,
    [final] ).

cnf(c_0_844,plain,
    lhs_atom139(X1,X2,X3),
    c_0_645,
    [final] ).

cnf(c_0_845,plain,
    lhs_atom129(X1,X2,X3),
    c_0_646,
    [final] ).

cnf(c_0_846,plain,
    lhs_atom129(X1,X2,X3),
    c_0_647,
    [final] ).

cnf(c_0_847,plain,
    lhs_atom110(X1,X2,X3),
    c_0_648,
    [final] ).

cnf(c_0_848,plain,
    lhs_atom106(X1,X2,X3),
    c_0_649,
    [final] ).

cnf(c_0_849,plain,
    lhs_atom102(X1,X2,X3),
    c_0_650,
    [final] ).

cnf(c_0_850,plain,
    lhs_atom101(X1,X2,X3),
    c_0_651,
    [final] ).

cnf(c_0_851,plain,
    lhs_atom96(X1,X2,X3),
    c_0_652,
    [final] ).

cnf(c_0_852,plain,
    lhs_atom91(X1,X2,X3),
    c_0_653,
    [final] ).

cnf(c_0_853,plain,
    lhs_atom88(X1,X2,X3),
    c_0_654,
    [final] ).

cnf(c_0_854,plain,
    lhs_atom86(X1,X2,X3),
    c_0_655,
    [final] ).

cnf(c_0_855,plain,
    lhs_atom85(X1,X2,X3),
    c_0_656,
    [final] ).

cnf(c_0_856,plain,
    lhs_atom83(X1,X2,X3),
    c_0_657,
    [final] ).

cnf(c_0_857,plain,
    lhs_atom81(X1,X2,X3),
    c_0_658,
    [final] ).

cnf(c_0_858,plain,
    lhs_atom80(X1,X2,X3),
    c_0_659,
    [final] ).

cnf(c_0_859,plain,
    lhs_atom79(X1,X2,X3),
    c_0_660,
    [final] ).

cnf(c_0_860,plain,
    lhs_atom75(X1,X2,X3),
    c_0_661,
    [final] ).

cnf(c_0_861,plain,
    lhs_atom74(X1,X2,X3),
    c_0_662,
    [final] ).

cnf(c_0_862,plain,
    lhs_atom49(X1,X2,X3),
    c_0_663,
    [final] ).

cnf(c_0_863,plain,
    lhs_atom41(X1,X2,X3),
    c_0_664,
    [final] ).

cnf(c_0_864,plain,
    lhs_atom40(X1,X2,X3),
    c_0_665,
    [final] ).

cnf(c_0_865,plain,
    lhs_atom39(X1,X2,X3),
    c_0_666,
    [final] ).

cnf(c_0_866,plain,
    lhs_atom38(X1,X2,X3),
    c_0_667,
    [final] ).

cnf(c_0_867,plain,
    lhs_atom37(X1,X2,X3),
    c_0_668,
    [final] ).

cnf(c_0_868,plain,
    lhs_atom30(X1,X2,X3),
    c_0_669,
    [final] ).

cnf(c_0_869,plain,
    lhs_atom29(X1,X2,X3),
    c_0_670,
    [final] ).

cnf(c_0_870,plain,
    lhs_atom28(X1,X2,X3),
    c_0_671,
    [final] ).

cnf(c_0_871,plain,
    lhs_atom24(X1,X2,X3),
    c_0_672,
    [final] ).

cnf(c_0_872,plain,
    lhs_atom23(X1,X2,X3),
    c_0_673,
    [final] ).

cnf(c_0_873,plain,
    lhs_atom22(X1,X2,X3),
    c_0_674,
    [final] ).

cnf(c_0_874,plain,
    lhs_atom19(X1,X2,X3),
    c_0_675,
    [final] ).

cnf(c_0_875,plain,
    lhs_atom18(X1,X2,X3),
    c_0_676,
    [final] ).

cnf(c_0_876,plain,
    lhs_atom16(X1,X2,X3),
    c_0_677,
    [final] ).

cnf(c_0_877,plain,
    lhs_atom13(X1,X2,X3),
    c_0_678,
    [final] ).

cnf(c_0_878,plain,
    lhs_atom10(X1,X2,X3),
    c_0_679,
    [final] ).

cnf(c_0_879,plain,
    lhs_atom198(X1,X2),
    c_0_680,
    [final] ).

cnf(c_0_880,plain,
    lhs_atom163(X1,X2),
    c_0_681,
    [final] ).

cnf(c_0_881,plain,
    lhs_atom156(X1,X2),
    c_0_682,
    [final] ).

cnf(c_0_882,plain,
    lhs_atom154(X1,X2),
    c_0_683,
    [final] ).

cnf(c_0_883,plain,
    lhs_atom153(X1,X2),
    c_0_684,
    [final] ).

cnf(c_0_884,plain,
    lhs_atom148(X1,X2),
    c_0_685,
    [final] ).

cnf(c_0_885,plain,
    lhs_atom145(X1,X2),
    c_0_686,
    [final] ).

cnf(c_0_886,plain,
    lhs_atom144(X1,X2),
    c_0_687,
    [final] ).

cnf(c_0_887,plain,
    lhs_atom141(X1,X2),
    c_0_688,
    [final] ).

cnf(c_0_888,plain,
    lhs_atom138(X1,X2),
    c_0_689,
    [final] ).

cnf(c_0_889,plain,
    lhs_atom137(X1,X2),
    c_0_690,
    [final] ).

cnf(c_0_890,plain,
    lhs_atom136(X1,X2),
    c_0_691,
    [final] ).

cnf(c_0_891,plain,
    lhs_atom134(X1,X2),
    c_0_692,
    [final] ).

cnf(c_0_892,plain,
    lhs_atom133(X1,X2),
    c_0_693,
    [final] ).

cnf(c_0_893,plain,
    lhs_atom132(X1,X2),
    c_0_694,
    [final] ).

cnf(c_0_894,plain,
    lhs_atom130(X1,X2),
    c_0_695,
    [final] ).

cnf(c_0_895,plain,
    lhs_atom128(X1,X2),
    c_0_696,
    [final] ).

cnf(c_0_896,plain,
    lhs_atom100(X1,X2),
    c_0_697,
    [final] ).

cnf(c_0_897,plain,
    lhs_atom99(X1,X2),
    c_0_698,
    [final] ).

cnf(c_0_898,plain,
    lhs_atom98(X1,X2),
    c_0_699,
    [final] ).

cnf(c_0_899,plain,
    lhs_atom97(X1,X2),
    c_0_700,
    [final] ).

cnf(c_0_900,plain,
    lhs_atom90(X1,X2),
    c_0_701,
    [final] ).

cnf(c_0_901,plain,
    lhs_atom89(X1,X2),
    c_0_702,
    [final] ).

cnf(c_0_902,plain,
    lhs_atom76(X1,X2),
    c_0_703,
    [final] ).

cnf(c_0_903,plain,
    lhs_atom67(X1,X2),
    c_0_704,
    [final] ).

cnf(c_0_904,plain,
    lhs_atom64(X1,X2),
    c_0_705,
    [final] ).

cnf(c_0_905,plain,
    lhs_atom63(X1,X2),
    c_0_706,
    [final] ).

cnf(c_0_906,plain,
    lhs_atom62(X1,X2),
    c_0_707,
    [final] ).

cnf(c_0_907,plain,
    lhs_atom58(X1,X2),
    c_0_708,
    [final] ).

cnf(c_0_908,plain,
    lhs_atom56(X1,X2),
    c_0_709,
    [final] ).

cnf(c_0_909,plain,
    lhs_atom53(X1,X2),
    c_0_710,
    [final] ).

cnf(c_0_910,plain,
    lhs_atom52(X1,X2),
    c_0_711,
    [final] ).

cnf(c_0_911,plain,
    lhs_atom48(X1,X2),
    c_0_712,
    [final] ).

cnf(c_0_912,plain,
    lhs_atom47(X1,X2),
    c_0_713,
    [final] ).

cnf(c_0_913,plain,
    lhs_atom45(X1,X2),
    c_0_714,
    [final] ).

cnf(c_0_914,plain,
    lhs_atom44(X1,X2),
    c_0_715,
    [final] ).

cnf(c_0_915,plain,
    lhs_atom27(X1,X2),
    c_0_716,
    [final] ).

cnf(c_0_916,plain,
    lhs_atom20(X1,X2),
    c_0_717,
    [final] ).

cnf(c_0_917,plain,
    lhs_atom9(X1,X2),
    c_0_718,
    [final] ).

cnf(c_0_918,plain,
    lhs_atom4(X1,X2),
    c_0_719,
    [final] ).

cnf(c_0_919,plain,
    lhs_atom3(X1,X2),
    c_0_720,
    [final] ).

cnf(c_0_920,plain,
    lhs_atom162(X1),
    c_0_721,
    [final] ).

cnf(c_0_921,plain,
    lhs_atom161(X1),
    c_0_722,
    [final] ).

cnf(c_0_922,plain,
    lhs_atom158(X1),
    c_0_723,
    [final] ).

cnf(c_0_923,plain,
    lhs_atom151(X1),
    c_0_724,
    [final] ).

cnf(c_0_924,plain,
    lhs_atom143(X1),
    c_0_725,
    [final] ).

cnf(c_0_925,plain,
    lhs_atom142(X1),
    c_0_726,
    [final] ).

cnf(c_0_926,plain,
    lhs_atom140(X1),
    c_0_727,
    [final] ).

cnf(c_0_927,plain,
    lhs_atom135(X1),
    c_0_728,
    [final] ).

cnf(c_0_928,plain,
    lhs_atom122(X1),
    c_0_729,
    [final] ).

cnf(c_0_929,plain,
    lhs_atom121(X1),
    c_0_730,
    [final] ).

cnf(c_0_930,plain,
    lhs_atom120(X1),
    c_0_731,
    [final] ).

cnf(c_0_931,plain,
    lhs_atom119(X1),
    c_0_732,
    [final] ).

cnf(c_0_932,plain,
    lhs_atom118(X1),
    c_0_733,
    [final] ).

cnf(c_0_933,plain,
    lhs_atom117(X1),
    c_0_734,
    [final] ).

cnf(c_0_934,plain,
    lhs_atom116(X1),
    c_0_735,
    [final] ).

cnf(c_0_935,plain,
    lhs_atom115(X1),
    c_0_736,
    [final] ).

cnf(c_0_936,plain,
    lhs_atom111(X1),
    c_0_737,
    [final] ).

cnf(c_0_937,plain,
    lhs_atom109(X1),
    c_0_738,
    [final] ).

cnf(c_0_938,plain,
    lhs_atom107(X1),
    c_0_739,
    [final] ).

cnf(c_0_939,plain,
    lhs_atom95(X1),
    c_0_740,
    [final] ).

cnf(c_0_940,plain,
    lhs_atom93(X1),
    c_0_741,
    [final] ).

cnf(c_0_941,plain,
    lhs_atom92(X1),
    c_0_742,
    [final] ).

cnf(c_0_942,plain,
    lhs_atom84(X1),
    c_0_743,
    [final] ).

cnf(c_0_943,plain,
    lhs_atom82(X1),
    c_0_744,
    [final] ).

cnf(c_0_944,plain,
    lhs_atom73(X1),
    c_0_745,
    [final] ).

cnf(c_0_945,plain,
    lhs_atom72(X1),
    c_0_746,
    [final] ).

cnf(c_0_946,plain,
    lhs_atom71(X1),
    c_0_747,
    [final] ).

cnf(c_0_947,plain,
    lhs_atom66(X1),
    c_0_748,
    [final] ).

cnf(c_0_948,plain,
    lhs_atom50(X1),
    c_0_749,
    [final] ).

cnf(c_0_949,plain,
    lhs_atom43(X1),
    c_0_750,
    [final] ).

cnf(c_0_950,plain,
    lhs_atom36(X1),
    c_0_751,
    [final] ).

cnf(c_0_951,plain,
    lhs_atom35(X1),
    c_0_752,
    [final] ).

cnf(c_0_952,plain,
    lhs_atom21(X1),
    c_0_753,
    [final] ).

cnf(c_0_953,plain,
    lhs_atom17(X1),
    c_0_754,
    [final] ).

cnf(c_0_954,plain,
    lhs_atom197,
    c_0_755,
    [final] ).

cnf(c_0_955,plain,
    lhs_atom196,
    c_0_756,
    [final] ).

cnf(c_0_956,plain,
    lhs_atom195,
    c_0_757,
    [final] ).

cnf(c_0_957,plain,
    lhs_atom194,
    c_0_758,
    [final] ).

cnf(c_0_958,plain,
    lhs_atom193,
    c_0_759,
    [final] ).

cnf(c_0_959,plain,
    lhs_atom192,
    c_0_760,
    [final] ).

cnf(c_0_960,plain,
    lhs_atom191,
    c_0_761,
    [final] ).

cnf(c_0_961,plain,
    lhs_atom190,
    c_0_762,
    [final] ).

cnf(c_0_962,plain,
    lhs_atom189,
    c_0_763,
    [final] ).

cnf(c_0_963,plain,
    lhs_atom188,
    c_0_764,
    [final] ).

cnf(c_0_964,plain,
    lhs_atom187,
    c_0_765,
    [final] ).

cnf(c_0_965,plain,
    lhs_atom186,
    c_0_766,
    [final] ).

cnf(c_0_966,plain,
    lhs_atom185,
    c_0_767,
    [final] ).

cnf(c_0_967,plain,
    lhs_atom184,
    c_0_768,
    [final] ).

cnf(c_0_968,plain,
    lhs_atom183,
    c_0_769,
    [final] ).

cnf(c_0_969,plain,
    lhs_atom182,
    c_0_770,
    [final] ).

cnf(c_0_970,plain,
    lhs_atom181,
    c_0_771,
    [final] ).

cnf(c_0_971,plain,
    lhs_atom180,
    c_0_772,
    [final] ).

cnf(c_0_972,plain,
    lhs_atom179,
    c_0_773,
    [final] ).

cnf(c_0_973,plain,
    lhs_atom178,
    c_0_774,
    [final] ).

cnf(c_0_974,plain,
    lhs_atom177,
    c_0_775,
    [final] ).

cnf(c_0_975,plain,
    lhs_atom176,
    c_0_776,
    [final] ).

cnf(c_0_976,plain,
    lhs_atom175,
    c_0_777,
    [final] ).

cnf(c_0_977,plain,
    lhs_atom174,
    c_0_778,
    [final] ).

cnf(c_0_978,plain,
    lhs_atom173,
    c_0_779,
    [final] ).

cnf(c_0_979,plain,
    lhs_atom172,
    c_0_780,
    [final] ).

cnf(c_0_980,plain,
    lhs_atom171,
    c_0_781,
    [final] ).

cnf(c_0_981,plain,
    lhs_atom170,
    c_0_782,
    [final] ).

cnf(c_0_982,plain,
    lhs_atom169,
    c_0_783,
    [final] ).

cnf(c_0_983,plain,
    lhs_atom168,
    c_0_784,
    [final] ).

cnf(c_0_984,plain,
    lhs_atom167,
    c_0_785,
    [final] ).

cnf(c_0_985,plain,
    lhs_atom166,
    c_0_786,
    [final] ).

cnf(c_0_986,plain,
    lhs_atom165,
    c_0_787,
    [final] ).

cnf(c_0_987,plain,
    lhs_atom164,
    c_0_788,
    [final] ).

cnf(c_0_988,plain,
    lhs_atom157,
    c_0_789,
    [final] ).

cnf(c_0_989,plain,
    lhs_atom114,
    c_0_790,
    [final] ).

cnf(c_0_990,plain,
    lhs_atom113,
    c_0_791,
    [final] ).

cnf(c_0_991,plain,
    lhs_atom94,
    c_0_792,
    [final] ).

cnf(c_0_992,plain,
    lhs_atom65,
    c_0_793,
    [final] ).

cnf(c_0_993,plain,
    lhs_atom61,
    c_0_794,
    [final] ).

cnf(c_0_994,plain,
    lhs_atom57,
    c_0_795,
    [final] ).

% End CNF derivation
cnf(c_0_796_0,axiom,
    c_Fun_Ocomp(X3,c_Fun_Ocomp(X2,X1,X4,X5,X7),X5,X6,X7) = c_Fun_Ocomp(c_Fun_Ocomp(X3,X2,X5,X6,X4),X1,X4,X6,X7),
    inference(unfold_definition,[status(thm)],[c_0_796,def_lhs_atom103]) ).

cnf(c_0_797_0,axiom,
    c_Set_Oimage(X2,c_Set_Oimage(X1,X3,X4,X5),X5,X6) = c_Set_Oimage(c_COMBB(X2,X1,X5,X6,X4),X3,X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_797,def_lhs_atom125]) ).

cnf(c_0_798_0,axiom,
    c_Set_Oimage(c_Fun_Ocomp(X3,X2,X4,X6,X5),X1,X5,X6) = c_Set_Oimage(X3,c_Set_Oimage(X2,X1,X5,X4),X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_798,def_lhs_atom124]) ).

cnf(c_0_799_0,axiom,
    c_Set_Ovimage(c_Fun_Ocomp(X2,X3,X4,X5,X6),X1,X6,X5) = c_Set_Ovimage(X3,c_Set_Ovimage(X2,X1,X4,X5),X6,X4),
    inference(unfold_definition,[status(thm)],[c_0_799,def_lhs_atom78]) ).

cnf(c_0_800_0,axiom,
    hAPP(c_Fun_Ocomp(X3,X2,X4,X5,X6),X1) = hAPP(X3,hAPP(X2,X1)),
    inference(unfold_definition,[status(thm)],[c_0_800,def_lhs_atom55]) ).

cnf(c_0_801_0,axiom,
    hAPP(c_Fun_Ocomp(X3,X2,X5,X6,X4),X1) = hAPP(X3,hAPP(X2,X1)),
    inference(unfold_definition,[status(thm)],[c_0_801,def_lhs_atom54]) ).

cnf(c_0_802_0,axiom,
    c_List_Omap(X3,c_List_Omap(X2,X1,X4,X5),X5,X6) = c_List_Omap(c_Fun_Ocomp(X3,X2,X5,X6,X4),X1,X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_802,def_lhs_atom32]) ).

cnf(c_0_803_0,axiom,
    hAPP(c_COMBB(X3,X2,X5,X6,X4),X1) = hAPP(X3,hAPP(X2,X1)),
    inference(unfold_definition,[status(thm)],[c_0_803,def_lhs_atom26]) ).

cnf(c_0_804_0,axiom,
    c_Set_Oimage(c_COMBB(X2,X1,X3,X5,X4),c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) = c_Set_Oimage(X2,c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3),X3,X5),
    inference(unfold_definition,[status(thm)],[c_0_804,def_lhs_atom159]) ).

cnf(c_0_805_0,axiom,
    c_Set_Ovimage(X1,c_Set_Oinsert(X2,X3,X4),X5,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_805,def_lhs_atom149]) ).

cnf(c_0_806_0,axiom,
    c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
    inference(unfold_definition,[status(thm)],[c_0_806,def_lhs_atom126]) ).

cnf(c_0_807_0,axiom,
    c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X3,X4,X5),c_Set_Oimage(X1,X2,X4,X5),tc_fun(X5,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_807,def_lhs_atom123]) ).

cnf(c_0_808_0,axiom,
    c_Set_Ovimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X3,X2,tc_fun(X4,tc_bool)),X5,X4) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(X1,X3,X5,X4),c_Set_Ovimage(X1,X2,X5,X4),tc_fun(X5,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_808,def_lhs_atom112]) ).

cnf(c_0_809_0,axiom,
    c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),X5,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,X3,X5,X4),c_Set_Ovimage(X1,X2,X5,X4),tc_fun(X5,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_809,def_lhs_atom87]) ).

cnf(c_0_810_0,axiom,
    c_lessequals(c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X3,X2,tc_fun(X4,tc_bool)),X4,X5),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X3,X4,X5),c_Set_Oimage(X1,X2,X4,X5),tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_810,def_lhs_atom51]) ).

cnf(c_0_811_0,axiom,
    c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X3,X4,X5),c_Set_Oimage(X1,X2,X4,X5),tc_fun(X5,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_811,def_lhs_atom31]) ).

cnf(c_0_812_0,axiom,
    c_Set_Ovimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X5,X4) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(X1,X3,X5,X4),c_Set_Ovimage(X1,X2,X5,X4),tc_fun(X5,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_812,def_lhs_atom7]) ).

cnf(c_0_813_0,axiom,
    hBOOL(c_in(hAPP(X2,X1),c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)),
    inference(unfold_definition,[status(thm)],[c_0_813,def_lhs_atom160]) ).

cnf(c_0_814_0,axiom,
    c_HOL_Ominus__class_Ominus(X3,c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_814,def_lhs_atom150]) ).

cnf(c_0_815_0,axiom,
    c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X3,X2,tc_fun(X4,tc_bool)),X1,tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_815,def_lhs_atom147]) ).

cnf(c_0_816_0,axiom,
    c_HOL_Ominus__class_Ominus(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_816,def_lhs_atom146]) ).

cnf(c_0_817_0,axiom,
    c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_817,def_lhs_atom131]) ).

cnf(c_0_818_0,axiom,
    c_Set_Oimage(c_FuncSet_Orestrict(X1,X2,X3,X4),X2,X3,X4) = c_Set_Oimage(X1,X2,X3,X4),
    inference(unfold_definition,[status(thm)],[c_0_818,def_lhs_atom127]) ).

cnf(c_0_819_0,axiom,
    hAPP(c_Fun_Ocomp(X2,X1,X3,X4,t_a),v_x) = hAPP(X2,hAPP(X1,v_x)),
    inference(unfold_definition,[status(thm)],[c_0_819,def_lhs_atom108]) ).

cnf(c_0_820_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_820,def_lhs_atom105]) ).

cnf(c_0_821_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_821,def_lhs_atom104]) ).

cnf(c_0_822_0,axiom,
    c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),X1,tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X4,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_822,def_lhs_atom77]) ).

cnf(c_0_823_0,axiom,
    c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),X2,tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_823,def_lhs_atom70]) ).

cnf(c_0_824_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X1,tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_824,def_lhs_atom69]) ).

cnf(c_0_825_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_825,def_lhs_atom68]) ).

cnf(c_0_826_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_826,def_lhs_atom60]) ).

cnf(c_0_827_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X3,X2,tc_fun(X4,tc_bool)),X1,tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_827,def_lhs_atom59]) ).

cnf(c_0_828_0,axiom,
    c_Set_Ovimage(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X2),X4,X3) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X4,tc_bool)),c_Set_Ovimage(X1,X2,X4,X3)),
    inference(unfold_definition,[status(thm)],[c_0_828,def_lhs_atom46]) ).

cnf(c_0_829_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X3,X2,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_829,def_lhs_atom42]) ).

cnf(c_0_830_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),X1,tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_830,def_lhs_atom34]) ).

cnf(c_0_831_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_831,def_lhs_atom33]) ).

cnf(c_0_832_0,axiom,
    c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4) = c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4),
    inference(unfold_definition,[status(thm)],[c_0_832,def_lhs_atom25]) ).

cnf(c_0_833_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X3,X4),c_Set_Oinsert(X1,X2,X4),tc_fun(X4,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X3,X2,tc_fun(X4,tc_bool)),X4),
    inference(unfold_definition,[status(thm)],[c_0_833,def_lhs_atom15]) ).

cnf(c_0_834_0,axiom,
    hBOOL(c_in(X2,c_Set_Ovimage(X1,c_Set_Oinsert(hAPP(X1,X2),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X3,X4),X3)),
    inference(unfold_definition,[status(thm)],[c_0_834,def_lhs_atom14]) ).

cnf(c_0_835_0,axiom,
    c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X1,X2,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X2,tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_835,def_lhs_atom12]) ).

cnf(c_0_836_0,axiom,
    c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X1,X2,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_836,def_lhs_atom11]) ).

cnf(c_0_837_0,axiom,
    c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),X2,tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_837,def_lhs_atom8]) ).

cnf(c_0_838_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X3,c_Set_Oinsert(X1,X2,X4),tc_fun(X4,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),X4),
    inference(unfold_definition,[status(thm)],[c_0_838,def_lhs_atom6]) ).

cnf(c_0_839_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X3,X4),X2,tc_fun(X4,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(X4,tc_bool)),X4),
    inference(unfold_definition,[status(thm)],[c_0_839,def_lhs_atom5]) ).

cnf(c_0_840_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_840,def_lhs_atom2]) ).

cnf(c_0_841_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X3,X2,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_841,def_lhs_atom1]) ).

cnf(c_0_842_0,axiom,
    c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X2),
    inference(unfold_definition,[status(thm)],[c_0_842,def_lhs_atom155]) ).

cnf(c_0_843_0,axiom,
    c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_843,def_lhs_atom152]) ).

cnf(c_0_844_0,axiom,
    c_Set_Ovimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_844,def_lhs_atom139]) ).

cnf(c_0_845_0,axiom,
    c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_845,def_lhs_atom129]) ).

cnf(c_0_846_0,axiom,
    c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_846,def_lhs_atom129]) ).

cnf(c_0_847_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_847,def_lhs_atom110]) ).

cnf(c_0_848_0,axiom,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
    inference(unfold_definition,[status(thm)],[c_0_848,def_lhs_atom106]) ).

cnf(c_0_849_0,axiom,
    c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_849,def_lhs_atom102]) ).

cnf(c_0_850_0,axiom,
    c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_850,def_lhs_atom101]) ).

cnf(c_0_851_0,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Set_Oinsert(X1,X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_851,def_lhs_atom96]) ).

cnf(c_0_852_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2,
    inference(unfold_definition,[status(thm)],[c_0_852,def_lhs_atom91]) ).

cnf(c_0_853_0,axiom,
    c_HOL_Ominus__class_Ominus(X2,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X1),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_853,def_lhs_atom88]) ).

cnf(c_0_854_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X2,c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_854,def_lhs_atom86]) ).

cnf(c_0_855_0,axiom,
    hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool))) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X1),tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_855,def_lhs_atom85]) ).

cnf(c_0_856_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_856,def_lhs_atom83]) ).

cnf(c_0_857_0,axiom,
    c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X2,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_857,def_lhs_atom81]) ).

cnf(c_0_858_0,axiom,
    hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X1),tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_858,def_lhs_atom80]) ).

cnf(c_0_859_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_859,def_lhs_atom79]) ).

cnf(c_0_860_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X2,c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_860,def_lhs_atom75]) ).

cnf(c_0_861_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_861,def_lhs_atom74]) ).

cnf(c_0_862_0,axiom,
    c_lessequals(X2,c_Set_Oinsert(X1,X2,X3),tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_862,def_lhs_atom49]) ).

cnf(c_0_863_0,axiom,
    c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Set_Oinsert(X1,X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_863,def_lhs_atom41]) ).

cnf(c_0_864_0,axiom,
    c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_864,def_lhs_atom40]) ).

cnf(c_0_865_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_865,def_lhs_atom39]) ).

cnf(c_0_866_0,axiom,
    c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_866,def_lhs_atom38]) ).

cnf(c_0_867_0,axiom,
    c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_867,def_lhs_atom37]) ).

cnf(c_0_868_0,axiom,
    c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X1),tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_868,def_lhs_atom30]) ).

cnf(c_0_869_0,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),
    inference(unfold_definition,[status(thm)],[c_0_869,def_lhs_atom29]) ).

cnf(c_0_870_0,axiom,
    c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_870,def_lhs_atom28]) ).

cnf(c_0_871_0,axiom,
    hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)),
    inference(unfold_definition,[status(thm)],[c_0_871,def_lhs_atom24]) ).

cnf(c_0_872_0,axiom,
    hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)),
    inference(unfold_definition,[status(thm)],[c_0_872,def_lhs_atom23]) ).

cnf(c_0_873_0,axiom,
    hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X3)),
    inference(unfold_definition,[status(thm)],[c_0_873,def_lhs_atom22]) ).

cnf(c_0_874_0,axiom,
    c_Fun_Ocomp(c_Fun_Oid(X2),X1,X2,X2,X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_874,def_lhs_atom19]) ).

cnf(c_0_875_0,axiom,
    c_Fun_Ocomp(X1,c_Fun_Oid(X3),X3,X2,X3) = X1,
    inference(unfold_definition,[status(thm)],[c_0_875,def_lhs_atom18]) ).

cnf(c_0_876_0,axiom,
    c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
    inference(unfold_definition,[status(thm)],[c_0_876,def_lhs_atom16]) ).

cnf(c_0_877_0,axiom,
    c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_877,def_lhs_atom13]) ).

cnf(c_0_878_0,axiom,
    hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X2),X1,tc_fun(X3,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_878,def_lhs_atom10]) ).

cnf(c_0_879_0,axiom,
    c_fequal(X1,X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_879,def_lhs_atom198]) ).

cnf(c_0_880_0,axiom,
    hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1)),
    inference(unfold_definition,[status(thm)],[c_0_880,def_lhs_atom163]) ).

cnf(c_0_881_0,axiom,
    c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OatLeastLessThan(X2,X1,tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_881,def_lhs_atom156]) ).

cnf(c_0_882_0,axiom,
    c_Fun_Oinj__on(c_Fun_Oid(X2),X1,X2,X2),
    inference(unfold_definition,[status(thm)],[c_0_882,def_lhs_atom154]) ).

cnf(c_0_883_0,axiom,
    c_Fun_Oinj__on(c_COMBI(X2),X1,X2,X2),
    inference(unfold_definition,[status(thm)],[c_0_883,def_lhs_atom153]) ).

cnf(c_0_884_0,axiom,
    hBOOL(c_in(X1,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2)),
    inference(unfold_definition,[status(thm)],[c_0_884,def_lhs_atom148]) ).

cnf(c_0_885_0,axiom,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_885,def_lhs_atom145]) ).

cnf(c_0_886_0,axiom,
    c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_886,def_lhs_atom144]) ).

cnf(c_0_887_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_887,def_lhs_atom141]) ).

cnf(c_0_888_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_888,def_lhs_atom138]) ).

cnf(c_0_889_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_889,def_lhs_atom137]) ).

cnf(c_0_890_0,axiom,
    hBOOL(c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)),
    inference(unfold_definition,[status(thm)],[c_0_890,def_lhs_atom136]) ).

cnf(c_0_891_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_891,def_lhs_atom134]) ).

cnf(c_0_892_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_892,def_lhs_atom133]) ).

cnf(c_0_893_0,axiom,
    c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_893,def_lhs_atom132]) ).

cnf(c_0_894_0,axiom,
    c_Set_Oimage(c_Fun_Oid(X2),X1,X2,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_894,def_lhs_atom130]) ).

cnf(c_0_895_0,axiom,
    c_Set_Oimage(c_COMBI(X2),X1,X2,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_895,def_lhs_atom128]) ).

cnf(c_0_896_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_896,def_lhs_atom100]) ).

cnf(c_0_897_0,axiom,
    ~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
    inference(unfold_definition,[status(thm)],[c_0_897,def_lhs_atom99]) ).

cnf(c_0_898_0,axiom,
    ~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
    inference(unfold_definition,[status(thm)],[c_0_898,def_lhs_atom98]) ).

cnf(c_0_899_0,axiom,
    ~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)),
    inference(unfold_definition,[status(thm)],[c_0_899,def_lhs_atom97]) ).

cnf(c_0_900_0,axiom,
    hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_900,def_lhs_atom90]) ).

cnf(c_0_901_0,axiom,
    hAPP(c_Fun_Oid(X2),X1) = X1,
    inference(unfold_definition,[status(thm)],[c_0_901,def_lhs_atom89]) ).

cnf(c_0_902_0,axiom,
    c_Set_Ovimage(c_Fun_Oid(X2),X1,X2,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_902,def_lhs_atom76]) ).

cnf(c_0_903_0,axiom,
    ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1)),
    inference(unfold_definition,[status(thm)],[c_0_903,def_lhs_atom67]) ).

cnf(c_0_904_0,axiom,
    c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_904,def_lhs_atom64]) ).

cnf(c_0_905_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_905,def_lhs_atom63]) ).

cnf(c_0_906_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_906,def_lhs_atom62]) ).

cnf(c_0_907_0,axiom,
    c_Set_Ovimage(c_COMBI(X2),X1,X2,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_907,def_lhs_atom58]) ).

cnf(c_0_908_0,axiom,
    hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1) = c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_908,def_lhs_atom56]) ).

cnf(c_0_909_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_909,def_lhs_atom53]) ).

cnf(c_0_910_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_910,def_lhs_atom52]) ).

cnf(c_0_911_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_911,def_lhs_atom48]) ).

cnf(c_0_912_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_912,def_lhs_atom47]) ).

cnf(c_0_913_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_913,def_lhs_atom45]) ).

cnf(c_0_914_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),X1,tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_914,def_lhs_atom44]) ).

cnf(c_0_915_0,axiom,
    hAPP(c_COMBI(X2),X1) = X1,
    inference(unfold_definition,[status(thm)],[c_0_915,def_lhs_atom27]) ).

cnf(c_0_916_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_916,def_lhs_atom20]) ).

cnf(c_0_917_0,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_917,def_lhs_atom9]) ).

cnf(c_0_918_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),X1,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_918,def_lhs_atom4]) ).

cnf(c_0_919_0,axiom,
    c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_919,def_lhs_atom3]) ).

cnf(c_0_920_0,axiom,
    c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) = c_SetInterval_Oord__class_OlessThan(X1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_920,def_lhs_atom162]) ).

cnf(c_0_921_0,axiom,
    c_SetInterval_Oord__class_OatLeastLessThan(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_921,def_lhs_atom161]) ).

cnf(c_0_922_0,axiom,
    c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_HOL_Ozero__class_Ozero(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_922,def_lhs_atom158]) ).

cnf(c_0_923_0,axiom,
    c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_923,def_lhs_atom151]) ).

cnf(c_0_924_0,axiom,
    c_lessequals(X1,X1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_924,def_lhs_atom143]) ).

cnf(c_0_925_0,axiom,
    c_lessequals(X1,X1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_925,def_lhs_atom142]) ).

cnf(c_0_926_0,axiom,
    X1 != c_Suc(X1),
    inference(unfold_definition,[status(thm)],[c_0_926,def_lhs_atom140]) ).

cnf(c_0_927_0,axiom,
    c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_927,def_lhs_atom135]) ).

cnf(c_0_928_0,axiom,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_928,def_lhs_atom122]) ).

cnf(c_0_929_0,axiom,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_929,def_lhs_atom121]) ).

cnf(c_0_930_0,axiom,
    ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_930,def_lhs_atom120]) ).

cnf(c_0_931_0,axiom,
    ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_931,def_lhs_atom119]) ).

cnf(c_0_932_0,axiom,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X1),
    inference(unfold_definition,[status(thm)],[c_0_932,def_lhs_atom118]) ).

cnf(c_0_933_0,axiom,
    c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X1),
    inference(unfold_definition,[status(thm)],[c_0_933,def_lhs_atom117]) ).

cnf(c_0_934_0,axiom,
    c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_934,def_lhs_atom116]) ).

cnf(c_0_935_0,axiom,
    c_Suc(X1) != c_HOL_Ozero__class_Ozero(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_935,def_lhs_atom115]) ).

cnf(c_0_936_0,axiom,
    c_Suc(X1) != X1,
    inference(unfold_definition,[status(thm)],[c_0_936,def_lhs_atom111]) ).

cnf(c_0_937_0,axiom,
    hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_937,def_lhs_atom109]) ).

cnf(c_0_938_0,axiom,
    ~ c_lessequals(c_Suc(X1),X1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_938,def_lhs_atom107]) ).

cnf(c_0_939_0,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_939,def_lhs_atom95]) ).

cnf(c_0_940_0,axiom,
    c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_940,def_lhs_atom93]) ).

cnf(c_0_941_0,axiom,
    c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_941,def_lhs_atom92]) ).

cnf(c_0_942_0,axiom,
    c_Fun_Osurj(c_Fun_Oid(X1),X1,X1),
    inference(unfold_definition,[status(thm)],[c_0_942,def_lhs_atom84]) ).

cnf(c_0_943_0,axiom,
    c_lessequals(c_Suc(X1),c_Suc(X1),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_943,def_lhs_atom82]) ).

cnf(c_0_944_0,axiom,
    c_Finite__Set_Ofinite(c_SetInterval_Oord__class_OlessThan(X1,tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_944,def_lhs_atom73]) ).

cnf(c_0_945_0,axiom,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_945,def_lhs_atom72]) ).

cnf(c_0_946_0,axiom,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_946,def_lhs_atom71]) ).

cnf(c_0_947_0,axiom,
    hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_947,def_lhs_atom66]) ).

cnf(c_0_948_0,axiom,
    c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
    inference(unfold_definition,[status(thm)],[c_0_948,def_lhs_atom50]) ).

cnf(c_0_949_0,axiom,
    c_Fun_Obij(c_Fun_Oid(X1),X1,X1),
    inference(unfold_definition,[status(thm)],[c_0_949,def_lhs_atom43]) ).

cnf(c_0_950_0,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_950,def_lhs_atom36]) ).

cnf(c_0_951_0,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X1),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_951,def_lhs_atom35]) ).

cnf(c_0_952_0,axiom,
    c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),c_Fun_Oid(X1),X1,X1) = c_Fun_Oid(X1),
    inference(unfold_definition,[status(thm)],[c_0_952,def_lhs_atom21]) ).

cnf(c_0_953_0,axiom,
    c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),tc_fun(X1,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_953,def_lhs_atom17]) ).

cnf(c_0_954_0,axiom,
    class_HOL_Oord(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_954,def_lhs_atom197]) ).

cnf(c_0_955_0,axiom,
    class_HOL_Ominus(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_955,def_lhs_atom196]) ).

cnf(c_0_956_0,axiom,
    class_HOL_Ouminus(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_956,def_lhs_atom195]) ).

cnf(c_0_957_0,axiom,
    class_Orderings_Obot(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_957,def_lhs_atom194]) ).

cnf(c_0_958_0,axiom,
    class_Orderings_Otop(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_958,def_lhs_atom193]) ).

cnf(c_0_959_0,axiom,
    class_Orderings_Oorder(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_959,def_lhs_atom192]) ).

cnf(c_0_960_0,axiom,
    class_Lattices_Olattice(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_960,def_lhs_atom191]) ).

cnf(c_0_961_0,axiom,
    class_Orderings_Opreorder(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_961,def_lhs_atom190]) ).

cnf(c_0_962_0,axiom,
    class_Finite__Set_Ofinite_Ofinite(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_962,def_lhs_atom189]) ).

cnf(c_0_963_0,axiom,
    class_Lattices_Oboolean__algebra(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_963,def_lhs_atom188]) ).

cnf(c_0_964_0,axiom,
    class_Lattices_Obounded__lattice(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_964,def_lhs_atom187]) ).

cnf(c_0_965_0,axiom,
    class_Lattices_Odistrib__lattice(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_965,def_lhs_atom186]) ).

cnf(c_0_966_0,axiom,
    class_Lattices_Olower__semilattice(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_966,def_lhs_atom185]) ).

cnf(c_0_967_0,axiom,
    class_Lattices_Oupper__semilattice(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_967,def_lhs_atom184]) ).

cnf(c_0_968_0,axiom,
    class_Complete__Lattice_Ocomplete__lattice(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_968,def_lhs_atom183]) ).

cnf(c_0_969_0,axiom,
    class_HOL_Oord(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_969,def_lhs_atom182]) ).

cnf(c_0_970_0,axiom,
    class_HOL_Ominus(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_970,def_lhs_atom181]) ).

cnf(c_0_971_0,axiom,
    class_Power_Opower(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_971,def_lhs_atom180]) ).

cnf(c_0_972_0,axiom,
    class_Orderings_Obot(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_972,def_lhs_atom179]) ).

cnf(c_0_973_0,axiom,
    class_Orderings_Oorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_973,def_lhs_atom178]) ).

cnf(c_0_974_0,axiom,
    class_Lattices_Olattice(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_974,def_lhs_atom177]) ).

cnf(c_0_975_0,axiom,
    class_Orderings_Olinorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_975,def_lhs_atom176]) ).

cnf(c_0_976_0,axiom,
    class_Orderings_Opreorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_976,def_lhs_atom175]) ).

cnf(c_0_977_0,axiom,
    class_Nat_Osemiring__char__0(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_977,def_lhs_atom174]) ).

cnf(c_0_978_0,axiom,
    class_Lattices_Odistrib__lattice(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_978,def_lhs_atom173]) ).

cnf(c_0_979_0,axiom,
    class_Ring__and__Field_Omult__zero(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_979,def_lhs_atom172]) ).

cnf(c_0_980_0,axiom,
    class_Ring__and__Field_Osemiring__0(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_980,def_lhs_atom171]) ).

cnf(c_0_981_0,axiom,
    class_Ring__and__Field_Osemiring__1(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_981,def_lhs_atom170]) ).

cnf(c_0_982_0,axiom,
    class_Lattices_Olower__semilattice(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_982,def_lhs_atom169]) ).

cnf(c_0_983_0,axiom,
    class_Lattices_Oupper__semilattice(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_983,def_lhs_atom168]) ).

cnf(c_0_984_0,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_984,def_lhs_atom167]) ).

cnf(c_0_985_0,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_985,def_lhs_atom166]) ).

cnf(c_0_986_0,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_986,def_lhs_atom165]) ).

cnf(c_0_987_0,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_987,def_lhs_atom164]) ).

cnf(c_0_988_0,axiom,
    c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),
    inference(unfold_definition,[status(thm)],[c_0_988,def_lhs_atom157]) ).

cnf(c_0_989_0,axiom,
    ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_989,def_lhs_atom114]) ).

cnf(c_0_990_0,axiom,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_990,def_lhs_atom113]) ).

cnf(c_0_991_0,axiom,
    hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a),
    inference(unfold_definition,[status(thm)],[c_0_991,def_lhs_atom94]) ).

cnf(c_0_992_0,axiom,
    c_SetInterval_Oord__class_OlessThan(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),
    inference(unfold_definition,[status(thm)],[c_0_992,def_lhs_atom65]) ).

cnf(c_0_993_0,axiom,
    hAPP(c_Fun_Oid(t_a),v_x) = v_x,
    inference(unfold_definition,[status(thm)],[c_0_993,def_lhs_atom61]) ).

cnf(c_0_994_0,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_994,def_lhs_atom57]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X17,X8,X11,X9,X3] :
      ( hAPP(X17,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X11,X8,X17,X3,X9)) != hAPP(X17,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X11,X8,X17,X3,X9))
      | hAPP(X17,hAPP(X8,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X11,X8,X17,X3,X9))) != hAPP(X17,hAPP(X8,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X11,X8,X17,X3,X9)))
      | c_Fun_Oinj__on(X17,X11,X3,X9)
      | ~ c_Fun_Oinj__on(X17,c_Set_Oimage(X8,X11,X3,X3),X3,X9)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X3) ),
    file('<stdin>',cls_inj__on__image__iff_6) ).

fof(c_0_1_002,axiom,
    ! [X17,X8,X11,X9,X3] :
      ( hAPP(X17,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X11,X8,X17,X3,X9)) != hAPP(X17,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X11,X8,X17,X3,X9))
      | hAPP(X17,hAPP(X8,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X11,X8,X17,X3,X9))) != hAPP(X17,hAPP(X8,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X11,X8,X17,X3,X9)))
      | c_Fun_Oinj__on(X17,c_Set_Oimage(X8,X11,X3,X3),X3,X9)
      | ~ c_Fun_Oinj__on(X17,X11,X3,X9)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X3) ),
    file('<stdin>',cls_inj__on__image__iff_7) ).

fof(c_0_2_003,axiom,
    ! [X7,X17,X8,X11,X18,X9,X3] :
      ( hAPP(c_Hilbert__Choice_Oinv__into(X11,c_Fun_Ocomp(X8,X17,X3,X9,X18),X18,X9),X7) = hAPP(c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(X11,X17,X18,X3),c_Hilbert__Choice_Oinv__into(c_Set_Oimage(X17,X11,X18,X3),X8,X3,X9),X3,X18,X9),X7)
      | ~ hBOOL(c_in(X7,c_Set_Oimage(X8,c_Set_Oimage(X17,X11,X18,X3),X3,X9),X9))
      | ~ c_Fun_Oinj__on(X17,X11,X18,X3)
      | ~ c_Fun_Oinj__on(X8,c_Set_Oimage(X17,X11,X18,X3),X3,X9) ),
    file('<stdin>',cls_inv__into__comp_0) ).

fof(c_0_3_004,axiom,
    ! [X7,X17,X8,X11,X18,X9,X3] :
      ( hAPP(c_Fun_Othe__inv__into(X11,c_Fun_Ocomp(X8,X17,X3,X9,X18),X18,X9),X7) = hAPP(c_Fun_Ocomp(c_Fun_Othe__inv__into(X11,X17,X18,X3),c_Fun_Othe__inv__into(c_Set_Oimage(X17,X11,X18,X3),X8,X3,X9),X3,X18,X9),X7)
      | ~ hBOOL(c_in(X7,c_Set_Oimage(X8,c_Set_Oimage(X17,X11,X18,X3),X3,X9),X9))
      | ~ c_Fun_Oinj__on(X17,X11,X18,X3)
      | ~ c_Fun_Oinj__on(X8,c_Set_Oimage(X17,X11,X18,X3),X3,X9) ),
    file('<stdin>',cls_the__inv__into__comp_0) ).

fof(c_0_4_005,axiom,
    ! [X17,X8,X11,X9,X3] :
      ( c_Fun_Oinj__on(X17,X11,X3,X9)
      | ~ c_Fun_Oinj__on(X17,c_Set_Oimage(X8,X11,X3,X3),X3,X9)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X3)
      | hAPP(X17,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X11,X8,X17,X3,X9)) = hAPP(X17,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X11,X8,X17,X3,X9))
      | hAPP(X17,hAPP(X8,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X11,X8,X17,X3,X9))) = hAPP(X17,hAPP(X8,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X11,X8,X17,X3,X9))) ),
    file('<stdin>',cls_inj__on__image__iff_4) ).

fof(c_0_5_006,axiom,
    ! [X17,X8,X11,X9,X3] :
      ( c_Fun_Oinj__on(X17,c_Set_Oimage(X8,X11,X3,X3),X3,X9)
      | ~ c_Fun_Oinj__on(X17,X11,X3,X9)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X3)
      | hAPP(X17,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X11,X8,X17,X3,X9)) = hAPP(X17,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X11,X8,X17,X3,X9))
      | hAPP(X17,hAPP(X8,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X11,X8,X17,X3,X9))) = hAPP(X17,hAPP(X8,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X11,X8,X17,X3,X9))) ),
    file('<stdin>',cls_inj__on__image__iff_5) ).

fof(c_0_6_007,axiom,
    ! [X17,X8,X11,X9,X3] :
      ( hAPP(X17,hAPP(X8,c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(X11,X8,X17,X3,X9))) != c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(X11,X8,X17,X3,X9)
      | c_Fun_Oinj__on(X8,X11,X3,X9) ),
    file('<stdin>',cls_inj__on__inverseI_1) ).

fof(c_0_7_008,axiom,
    ! [X7,X8,X22,X9,X3] :
      ( hBOOL(hAPP(X22,X7))
      | ~ hBOOL(hAPP(X22,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X22,X8,X3,X9))))
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_inj__transfer_1) ).

fof(c_0_8_009,axiom,
    ! [X17,X8,X32,X10,X11,X18,X9,X3] :
      ( c_Fun_Obij__betw(c_Fun_Ocomp(X17,X8,X9,X18,X3),X11,X32,X3,X18)
      | ~ c_Fun_Obij__betw(X17,X10,X32,X9,X18)
      | ~ c_Fun_Obij__betw(X8,X11,X10,X3,X9) ),
    file('<stdin>',cls_bij__betw__trans_0) ).

fof(c_0_9_010,axiom,
    ! [X17,X8,X11,X9,X3] :
      ( c_Fun_Oinj__on(X17,X11,X3,X9)
      | ~ c_Fun_Oinj__on(X17,c_Set_Oimage(X8,X11,X3,X3),X3,X9)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X3)
      | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X11,X8,X17,X3,X9),X11,X3)) ),
    file('<stdin>',cls_inj__on__image__iff_0) ).

fof(c_0_10_011,axiom,
    ! [X17,X8,X11,X9,X3] :
      ( c_Fun_Oinj__on(X17,X11,X3,X9)
      | ~ c_Fun_Oinj__on(X17,c_Set_Oimage(X8,X11,X3,X3),X3,X9)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X3)
      | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X11,X8,X17,X3,X9),X11,X3)) ),
    file('<stdin>',cls_inj__on__image__iff_2) ).

fof(c_0_11_012,axiom,
    ! [X17,X8,X11,X9,X3] :
      ( c_Fun_Oinj__on(X17,c_Set_Oimage(X8,X11,X3,X3),X3,X9)
      | ~ c_Fun_Oinj__on(X17,X11,X3,X9)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X3)
      | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X11,X8,X17,X3,X9),X11,X3)) ),
    file('<stdin>',cls_inj__on__image__iff_1) ).

fof(c_0_12_013,axiom,
    ! [X17,X8,X11,X9,X3] :
      ( c_Fun_Oinj__on(X17,c_Set_Oimage(X8,X11,X3,X3),X3,X9)
      | ~ c_Fun_Oinj__on(X17,X11,X3,X9)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X3)
      | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X11,X8,X17,X3,X9),X11,X3)) ),
    file('<stdin>',cls_inj__on__image__iff_3) ).

fof(c_0_13_014,axiom,
    ! [X17,X8,X18,X9,X3] :
      ( c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X8,X17,X3,X18,X9),c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool)),X9,X18),X18)
      | ~ c_Finite__Set_Ofinite(c_Set_Oimage(X17,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool)),X9,X3),X3) ),
    file('<stdin>',cls_finite__range__imageI_0) ).

fof(c_0_14_015,axiom,
    ! [X8,X13,X11,X9,X3] :
      ( ~ hBOOL(c_in(hAPP(X8,X13),c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X9),X9))
      | ~ c_Fun_Oinj__on(X8,c_Set_Oinsert(X13,X11,X3),X3,X9) ),
    file('<stdin>',cls_inj__on__insert_1) ).

fof(c_0_15_016,axiom,
    ! [X17,X8,X18,X9,X3] :
      ( c_Fun_Ocomp(c_Fun_Ocomp(X17,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),X3,X18,X9),X8,X9,X18,X3) = X17
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_o__inv__o__cancel_0) ).

fof(c_0_16_017,axiom,
    ! [X17,X8,X18,X9,X3] :
      ( c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X18,tc_bool)),c_Fun_Ocomp(X8,X17,X3,X9,X18),X18,X9) = c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X18,tc_bool)),X17,X18,X3),c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),X3,X18,X9)
      | ~ c_Fun_Obij(X17,X18,X3)
      | ~ c_Fun_Obij(X8,X3,X9) ),
    file('<stdin>',cls_o__inv__distrib_0) ).

fof(c_0_17_018,axiom,
    ! [X17,X8,X11,X9,X3] :
      ( c_Fun_Oinj__on(X8,X11,X3,X9)
      | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(X11,X8,X17,X3,X9),X11,X3)) ),
    file('<stdin>',cls_inj__on__inverseI_0) ).

fof(c_0_18_019,axiom,
    ! [X6,X7,X8,X11,X9,X3] :
      ( hAPP(c_Hilbert__Choice_Oinv__into(X11,X8,X3,X9),X7) != hAPP(c_Hilbert__Choice_Oinv__into(X11,X8,X3,X9),X6)
      | X7 = X6
      | ~ hBOOL(c_in(X6,c_Set_Oimage(X8,X11,X3,X9),X9))
      | ~ hBOOL(c_in(X7,c_Set_Oimage(X8,X11,X3,X9),X9)) ),
    file('<stdin>',cls_inv__into__injective_0) ).

fof(c_0_19_020,axiom,
    ! [X34,X7,X36,X17,X37,X8,X38,X39,X18,X9,X3] :
      ( hAPP(X8,hAPP(X17,X7)) != hAPP(X37,hAPP(X36,X34))
      | hAPP(c_Fun_Ocomp(X8,X17,X9,X3,X18),X7) = hAPP(c_Fun_Ocomp(X37,X36,X39,X3,X38),X34) ),
    file('<stdin>',cls_comp__cong_0) ).

fof(c_0_20_021,axiom,
    ! [X17,X8,X11,X18,X9,X3] :
      ( c_Fun_Oinj__on(X17,c_Set_Oimage(X8,X11,X3,X18),X18,X9)
      | ~ c_Fun_Oinj__on(c_Fun_Ocomp(X17,X8,X18,X9,X3),X11,X3,X9) ),
    file('<stdin>',cls_inj__on__imageI_0) ).

fof(c_0_21_022,axiom,
    ! [X7,X8,X10,X11,X9,X3] :
      ( hBOOL(c_in(hAPP(c_Fun_Othe__inv__into(X11,X8,X3,X9),X7),X10,X3))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | ~ hBOOL(c_in(X7,c_Set_Oimage(X8,X11,X3,X9),X9))
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    file('<stdin>',cls_the__inv__into__into_0) ).

fof(c_0_22_023,axiom,
    ! [X7,X8,X16,X3] :
      ( ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X16,tc_bool)),X16,X3)
      | hBOOL(c_in(hAPP(X8,X7),c_Set_Oimage(X8,c_Orderings_Otop__class_Otop(tc_fun(X16,tc_bool)),X16,X3),X3))
      | hAPP(X8,X7) = hAPP(X8,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X8,X7),X8,X7,X3,X16)) ),
    file('<stdin>',cls_range__ex1__eq_2) ).

fof(c_0_23_024,axiom,
    ! [X17,X8,X11,X18,X9,X3] :
      ( c_Fun_Oinj__on(c_Fun_Ocomp(X17,X8,X9,X18,X3),X11,X3,X18)
      | ~ c_Fun_Oinj__on(X17,c_Set_Oimage(X8,X11,X3,X9),X9,X18)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    file('<stdin>',cls_comp__inj__on_0) ).

fof(c_0_24_025,axiom,
    ! [X8,X13,X11,X9,X3] :
      ( c_Fun_Oinj__on(X8,c_Set_Oinsert(X13,X11,X3),X3,X9)
      | hBOOL(c_in(hAPP(X8,X13),c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X9),X9))
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    file('<stdin>',cls_inj__on__insert_2) ).

fof(c_0_25_026,axiom,
    ! [X6,X7,X11,X3] :
      ( c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),c_Finite__Set_Ocard(X11,X3),tc_nat)
      | ~ hBOOL(c_in(X6,X11,X3))
      | ~ hBOOL(c_in(X7,X11,X3))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    file('<stdin>',cls_card__Diff2__less_0) ).

fof(c_0_26_027,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_Fun_Obij__betw(X8,X11,X10,X3,X9)
      | ~ c_Fun_Obij__betw(c_FuncSet_Orestrict(X8,X11,X3,X9),X11,X10,X3,X9) ),
    file('<stdin>',cls_bij__betw__restrict__eq_0) ).

fof(c_0_27_028,axiom,
    ! [X40,X41,X35,X23,X13,X39,X18,X9,X3] :
      ( c_Fun_Ocomp(X13,X23,X18,X9,X3) != c_Fun_Ocomp(X35,X41,X39,X9,X3)
      | hAPP(X13,hAPP(X23,X40)) = hAPP(X35,hAPP(X41,X40)) ),
    file('<stdin>',cls_o__eq__dest_0) ).

fof(c_0_28_029,axiom,
    ! [X7,X8,X11,X9,X3] :
      ( hBOOL(c_in(hAPP(c_Hilbert__Choice_Oinv__into(X11,X8,X9,X3),X7),X11,X9))
      | ~ hBOOL(c_in(X7,c_Set_Oimage(X8,X11,X9,X3),X3)) ),
    file('<stdin>',cls_inv__into__into_0) ).

fof(c_0_29_030,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3,X9),c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X10,X11,tc_fun(X3,tc_bool)),X3,X9),tc_fun(X9,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X8,X10,X3,X9)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9)
      | c_Fun_Oinj__on(X8,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_inj__on__Un_3) ).

fof(c_0_30_031,axiom,
    ! [X40,X35,X23,X13,X18,X9,X3] :
      ( c_Fun_Ocomp(X13,X23,X18,X9,X3) != c_Fun_Ocomp(c_Fun_Oid(X9),X35,X9,X9,X3)
      | hAPP(X13,hAPP(X23,X40)) = hAPP(X35,X40) ),
    file('<stdin>',cls_o__eq__id__dest_0) ).

fof(c_0_31_032,axiom,
    ! [X12,X8,X10,X18,X9,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X18)
      | c_Finite__Set_Osetsum(X12,c_Set_Oimage(X8,X10,X3,X9),X9,X18) = c_Finite__Set_Osetsum(c_Fun_Ocomp(X12,X8,X9,X18,X3),X10,X3,X18)
      | ~ c_Fun_Oinj__on(X8,X10,X3,X9) ),
    file('<stdin>',cls_setsum__reindex_0) ).

fof(c_0_32_033,axiom,
    ! [X7,X8,X16,X3] :
      ( c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X8,X7),X8,X7,X3,X16) != X7
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X16,tc_bool)),X16,X3)
      | hBOOL(c_in(hAPP(X8,X7),c_Set_Oimage(X8,c_Orderings_Otop__class_Otop(tc_fun(X16,tc_bool)),X16,X3),X3)) ),
    file('<stdin>',cls_range__ex1__eq_3) ).

fof(c_0_33_034,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_Fun_Obij__betw(c_FuncSet_Orestrict(X8,X11,X3,X9),X11,X10,X3,X9)
      | ~ c_Fun_Obij__betw(X8,X11,X10,X3,X9) ),
    file('<stdin>',cls_bij__betw__restrict__eq_1) ).

fof(c_0_34_035,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_Fun_Obij__betw(c_Fun_Othe__inv__into(X11,X8,X3,X9),X10,X11,X9,X3)
      | ~ c_Fun_Obij__betw(X8,X11,X10,X3,X9) ),
    file('<stdin>',cls_bij__betw__the__inv__into_0) ).

fof(c_0_35_036,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_Fun_Obij__betw(c_Hilbert__Choice_Oinv__into(X11,X8,X3,X9),X10,X11,X9,X3)
      | ~ c_Fun_Obij__betw(X8,X11,X10,X3,X9) ),
    file('<stdin>',cls_bij__betw__inv__into_0) ).

fof(c_0_36_037,axiom,
    ! [X8,X11,X9,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X8,X3,X3,X9),X11,X9,X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Finite__Set_Osetsum(X8,X11,X9,X3)) ),
    file('<stdin>',cls_setsum__negf_0) ).

fof(c_0_37_038,axiom,
    ! [X6,X8,X11,X9,X3] :
      ( hAPP(X8,hAPP(c_Fun_Othe__inv__into(X11,X8,X3,X9),X6)) = X6
      | ~ hBOOL(c_in(X6,c_Set_Oimage(X8,X11,X3,X9),X9))
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    file('<stdin>',cls_f__the__inv__into__f_0) ).

fof(c_0_38_039,axiom,
    ! [X8,X9,X3] :
      ( c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),X8,X9,X3,X3) != c_Fun_Oid(X3)
      | c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_inj__iff_1) ).

fof(c_0_39_040,axiom,
    ! [X8,X23,X13,X9,X3] :
      ( hAPP(X8,X13) = X23
      | ~ hBOOL(c_in(X13,c_Set_Ovimage(X8,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9),X3,X9),X3)) ),
    file('<stdin>',cls_vimage__singleton__eq_0) ).

fof(c_0_40_041,axiom,
    ! [X8,X23,X9,X3] :
      ( X23 = hAPP(X8,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X23,X8,X9,X3))
      | ~ hBOOL(c_in(X23,c_Set_Oimage(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9),X9))
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_range__ex1__eq_0) ).

fof(c_0_41_042,axiom,
    ! [X8,X9,X3] :
      ( c_Fun_Ocomp(X8,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),X3,X9,X9) != c_Fun_Oid(X9)
      | c_Fun_Osurj(X8,X3,X9) ),
    file('<stdin>',cls_surj__iff_1) ).

fof(c_0_42_043,axiom,
    ! [X6,X8,X16,X3] :
      ( ~ hBOOL(c_in(hAPP(X8,X6),c_Set_Oimage(X8,c_Orderings_Otop__class_Otop(tc_fun(X16,tc_bool)),X16,X3),X3))
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X16,tc_bool)),X16,X3)
      | X6 = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(hAPP(X8,X6),X8,X3,X16) ),
    file('<stdin>',cls_range__ex1__eq_1) ).

fof(c_0_43_044,axiom,
    ! [X7,X8,X22,X9,X3] :
      ( hBOOL(hAPP(X22,X7))
      | hBOOL(c_in(c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X22,X8,X3,X9),c_Set_Oimage(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9),X9))
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_inj__transfer_0) ).

fof(c_0_44_045,axiom,
    ! [X17,X8,X9,X3] :
      ( hAPP(X8,hAPP(X17,c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__imp__inv__eq__1__1(X8,X17,X3,X9))) != c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__imp__inv__eq__1__1(X8,X17,X3,X9)
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9)
      | c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9) = X17 ),
    file('<stdin>',cls_inj__imp__inv__eq_0) ).

fof(c_0_45_046,axiom,
    ! [X6,X8,X11,X9,X3] :
      ( hAPP(X8,hAPP(c_Hilbert__Choice_Oinv__into(X11,X8,X9,X3),X6)) = X6
      | ~ hBOOL(c_in(X6,c_Set_Oimage(X8,X11,X9,X3),X3)) ),
    file('<stdin>',cls_f__inv__into__f_0) ).

fof(c_0_46_047,axiom,
    ! [X17,X8,X10,X11,X9,X3] :
      ( c_Finite__Set_Ocard(X11,X3) = c_Finite__Set_Ocard(X10,X9)
      | ~ c_Finite__Set_Ofinite(X10,X9)
      | ~ c_Finite__Set_Ofinite(X11,X3)
      | ~ c_lessequals(c_Set_Oimage(X17,X10,X9,X3),X11,tc_fun(X3,tc_bool))
      | ~ c_Fun_Oinj__on(X17,X10,X9,X3)
      | ~ c_lessequals(c_Set_Oimage(X8,X11,X3,X9),X10,tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    file('<stdin>',cls_card__bij__eq_0) ).

fof(c_0_47_048,axiom,
    ! [X17,X8,X18,X9,X3] :
      ( c_Fun_Obij(c_Fun_Ocomp(X17,X8,X9,X18,X3),X3,X18)
      | ~ c_Fun_Obij(X17,X9,X18)
      | ~ c_Fun_Obij(X8,X3,X9) ),
    file('<stdin>',cls_bij__comp_0) ).

fof(c_0_48_049,axiom,
    ! [X17,X8,X18,X9,X3] :
      ( c_Fun_Osurj(c_Fun_Ocomp(X17,X8,X9,X18,X3),X3,X18)
      | ~ c_Fun_Osurj(X17,X9,X18)
      | ~ c_Fun_Osurj(X8,X3,X9) ),
    file('<stdin>',cls_comp__surj_0) ).

fof(c_0_49_050,axiom,
    ! [X8,X11,X9,X3] :
      ( c_lessequals(c_Set_Oimage(X8,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X11),X3,X9),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X9,tc_bool)),c_Set_Oimage(X8,X11,X3,X9)),tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_inj__image__Compl__subset_0) ).

fof(c_0_50_051,axiom,
    ! [X8,X13,X11,X9,X3] :
      ( hBOOL(c_in(X13,X11,X3))
      | ~ hBOOL(c_in(hAPP(X8,X13),c_Set_Oimage(X8,X11,X3,X9),X9))
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_inj__image__mem__iff_0) ).

fof(c_0_51_052,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3,X9),c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X10,X11,tc_fun(X3,tc_bool)),X3,X9),tc_fun(X9,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X8,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_inj__on__Un_2) ).

fof(c_0_52_053,axiom,
    ! [X6,X7,X19,X20,X11,X9,X3] :
      ( hAPP(X20,X7) != hAPP(X20,X6)
      | ~ hBOOL(c_in(X6,X11,X9))
      | ~ hBOOL(c_in(X7,X11,X9))
      | ~ c_Typedef_Otype__definition(X19,X20,X11,X3,X9)
      | X7 = X6 ),
    file('<stdin>',cls_type__definition_OAbs__inject_0) ).

fof(c_0_53_054,axiom,
    ! [X8,X9,X3] :
      ( c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),X8,X9,X3,X3) = c_Fun_Oid(X3)
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_inj__iff_0) ).

fof(c_0_54_055,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Set_Oimage(X8,X11,X3,X9),c_Set_Oimage(X8,X10,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_inj__image__subset__iff_0) ).

fof(c_0_55_056,axiom,
    ! [X19,X20,X11,X9,X3] :
      ( c_Set_Oimage(X19,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) = X11
      | ~ c_Typedef_Otype__definition(X19,X20,X11,X3,X9) ),
    file('<stdin>',cls_type__definition_ORep__range_0) ).

fof(c_0_56_057,axiom,
    ! [X19,X20,X11,X9,X3] :
      ( c_Set_Oimage(X20,X11,X9,X3) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))
      | ~ c_Typedef_Otype__definition(X19,X20,X11,X3,X9) ),
    file('<stdin>',cls_type__definition_OAbs__image_0) ).

fof(c_0_57_058,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_Set_Oimage(X8,X11,X3,X9) = X10
      | ~ c_Fun_Obij__betw(X8,X11,X10,X3,X9) ),
    file('<stdin>',cls_bij__betw__def_1) ).

fof(c_0_58_059,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_Fun_Oinj__on(X8,X11,X3,X9)
      | ~ c_Fun_Obij__betw(X8,X11,X10,X3,X9) ),
    file('<stdin>',cls_bij__betw__def_0) ).

fof(c_0_59_060,axiom,
    ! [X6,X19,X20,X11,X9,X3] :
      ( hAPP(X19,hAPP(X20,X6)) = X6
      | ~ hBOOL(c_in(X6,X11,X9))
      | ~ c_Typedef_Otype__definition(X19,X20,X11,X3,X9) ),
    file('<stdin>',cls_type__definition_OAbs__inverse_0) ).

fof(c_0_60_061,axiom,
    ! [X8,X32,X10,X11,X9,X3] :
      ( c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3,X9) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X8,X11,X3,X9),c_Set_Oimage(X8,X10,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_lessequals(X10,X32,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X32,tc_fun(X3,tc_bool))
      | ~ c_Fun_Oinj__on(X8,X32,X3,X9) ),
    file('<stdin>',cls_inj__on__image__set__diff_0) ).

fof(c_0_61_062,axiom,
    ! [X8,X32,X10,X11,X9,X3] :
      ( c_Set_Oimage(X8,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),X3,X9) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X8,X11,X3,X9),c_Set_Oimage(X8,X10,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_lessequals(X10,X32,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X32,tc_fun(X3,tc_bool))
      | ~ c_Fun_Oinj__on(X8,X32,X3,X9) ),
    file('<stdin>',cls_inj__on__image__Int_0) ).

fof(c_0_62_063,axiom,
    ! [X8,X11,X9,X3] :
      ( ~ c_Fun_Oinj__on(X8,X11,X3,X9)
      | c_Fun_Obij__betw(X8,X11,c_Set_Oimage(X8,X11,X3,X9),X3,X9) ),
    file('<stdin>',cls_bij__betw__def_2) ).

fof(c_0_63_064,axiom,
    ! [X7,X19,X20,X11,X9,X3] :
      ( hBOOL(c_in(hAPP(X19,X7),X11,X9))
      | ~ c_Typedef_Otype__definition(X19,X20,X11,X3,X9) ),
    file('<stdin>',cls_type__definition_ORep_0) ).

fof(c_0_64_065,axiom,
    ! [X8,X11,X9,X3] :
      ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X9,tc_bool)),c_Set_Oimage(X8,X11,X3,X9)),c_Set_Oimage(X8,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X11),X3,X9),tc_fun(X9,tc_bool))
      | ~ c_Fun_Osurj(X8,X3,X9) ),
    file('<stdin>',cls_surj__Compl__image__subset_0) ).

fof(c_0_65_066,axiom,
    ! [X8,X11,X9,X3] :
      ( c_Set_Oimage(X8,c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),X11,X9,X3),X3,X9) = X11
      | ~ c_Fun_Osurj(X8,X3,X9) ),
    file('<stdin>',cls_image__surj__f__inv__f_0) ).

fof(c_0_66_067,axiom,
    ! [X51,X21,X28,X8,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X8,c_SetInterval_Oord__class_OatLeastLessThan(X28,X51,tc_nat),tc_nat,X3),c_Finite__Set_Osetsum(X8,c_SetInterval_Oord__class_OatLeastLessThan(X28,X21,tc_nat),tc_nat,X3),X3) = c_Finite__Set_Osetsum(X8,c_SetInterval_Oord__class_OatLeastLessThan(X21,X51,tc_nat),tc_nat,X3)
      | ~ c_lessequals(X21,X51,tc_nat)
      | ~ c_lessequals(X28,X21,tc_nat) ),
    file('<stdin>',cls_setsum__diff__nat__ivl_0) ).

fof(c_0_67_068,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_lessequals(c_Set_Ovimage(X8,X10,X3,X9),X11,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X10,c_Set_Oimage(X8,X11,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_vimage__subsetI_0) ).

fof(c_0_68_069,axiom,
    ! [X6,X7,X19,X20,X11,X9,X3] :
      ( hAPP(X19,X7) != hAPP(X19,X6)
      | ~ c_Typedef_Otype__definition(X19,X20,X11,X3,X9)
      | X7 = X6 ),
    file('<stdin>',cls_type__definition_ORep__inject_0) ).

fof(c_0_69_070,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_Set_Oimage(X8,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),X3,X9) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X8,X11,X3,X9),c_Set_Oimage(X8,X10,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_image__Int_0) ).

fof(c_0_70_071,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3,X9) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X8,X11,X3,X9),c_Set_Oimage(X8,X10,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_image__set__diff_0) ).

fof(c_0_71_072,axiom,
    ! [X7,X19,X20,X11,X9,X3] :
      ( hAPP(X20,hAPP(X19,X7)) = X7
      | ~ c_Typedef_Otype__definition(X19,X20,X11,X3,X9) ),
    file('<stdin>',cls_type__definition_ORep__inverse_0) ).

fof(c_0_72_073,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_Finite__Set_Ocard(X11,X3) = c_Finite__Set_Ocard(X10,X9)
      | ~ c_Fun_Obij__betw(X8,X11,X10,X3,X9) ),
    file('<stdin>',cls_bij__betw__same__card_0) ).

fof(c_0_73_074,axiom,
    ! [X8,X9,X3] :
      ( c_Fun_Ocomp(X8,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),X3,X9,X9) = c_Fun_Oid(X9)
      | ~ c_Fun_Osurj(X8,X3,X9) ),
    file('<stdin>',cls_surj__iff_0) ).

fof(c_0_74_075,axiom,
    ! [X8,X13,X10,X9,X3] :
      ( hBOOL(c_in(hAPP(X8,X13),X10,X9))
      | ~ hBOOL(c_in(X13,c_Set_Ovimage(X8,X10,X3,X9),X3)) ),
    file('<stdin>',cls_vimageE_0) ).

fof(c_0_75_076,axiom,
    ! [X8,X13,X11,X9,X3] :
      ( hBOOL(c_in(hAPP(X8,X13),X11,X9))
      | ~ hBOOL(c_in(X13,c_Set_Ovimage(X8,X11,X3,X9),X3)) ),
    file('<stdin>',cls_vimageD_0) ).

fof(c_0_76_077,axiom,
    ! [X8,X2,X9,X3] :
      ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),c_Set_Oimage(X8,X2,X3,X9),X9,X3) = X2
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_inv__image__comp_0) ).

fof(c_0_77_078,axiom,
    ! [X8,X11,X9,X3] :
      ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),c_Set_Oimage(X8,X11,X3,X9),X9,X3) = X11
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_image__inv__f__f_0) ).

fof(c_0_78_079,axiom,
    ! [X8,X13,X11,X9,X3] :
      ( hBOOL(c_in(hAPP(X8,X13),c_Set_Oimage(X8,X11,X3,X9),X9))
      | ~ hBOOL(c_in(X13,X11,X3))
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_inj__image__mem__iff_1) ).

fof(c_0_79_080,axiom,
    ! [X8,X47,X11,X9,X3] :
      ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(X11,X8,X3,X9),c_Set_Oimage(X8,X47,X3,X9),X9,X3) = X47
      | ~ c_lessequals(X47,X11,tc_fun(X3,tc_bool))
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    file('<stdin>',cls_inv__into__image__cancel_0) ).

fof(c_0_80_081,axiom,
    ! [X7,X8,X11,X9,X3] :
      ( hBOOL(hAPP(X11,hAPP(X8,X7)))
      | ~ hBOOL(hAPP(c_Set_Ovimage(X8,X11,X3,X9),X7)) ),
    file('<stdin>',cls_vimage__code_0) ).

fof(c_0_81_082,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_lessequals(c_Set_Oimage(X8,X11,X3,X9),c_Set_Oimage(X8,X10,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_inj__image__subset__iff_1) ).

fof(c_0_82_083,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X11,X8,X9,X3),X10,X3,X9)
      | ~ c_lessequals(X10,c_Set_Oimage(X8,X11,X9,X3),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_inj__on__inv__into_0) ).

fof(c_0_83_084,axiom,
    ! [X8,X11,X9,X3] :
      ( c_Set_Oimage(c_Fun_Othe__inv__into(X11,X8,X3,X9),c_Set_Oimage(X8,X11,X3,X9),X9,X3) = X11
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    file('<stdin>',cls_the__inv__into__onto_0) ).

fof(c_0_84_085,axiom,
    ! [X8,X11,X9,X3] :
      ( c_Fun_Oinj__on(c_Fun_Othe__inv__into(X11,X8,X3,X9),c_Set_Oimage(X8,X11,X3,X9),X9,X3)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    file('<stdin>',cls_inj__on__the__inv__into_0) ).

fof(c_0_85_086,axiom,
    ! [X8,X13,X11,X9,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X9)
      | c_Finite__Set_Osetsum(X8,c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X9) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X8,X11,X3,X9),hAPP(X8,X13),X9)
      | ~ hBOOL(c_in(X13,X11,X3))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    file('<stdin>',cls_setsum__diff1_0) ).

fof(c_0_86_087,axiom,
    ! [X8,X13,X11,X9,X3] :
      ( ~ class_Ring__and__Field_Oring(X9)
      | c_Finite__Set_Osetsum(X8,c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X9) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X8,X11,X3,X9),hAPP(X8,X13),X9)
      | ~ hBOOL(c_in(X13,X11,X3))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    file('<stdin>',cls_setsum__diff1__ring_0) ).

fof(c_0_87_088,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X9)
      | c_Finite__Set_Osetsum(X8,c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3,X9) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X8,X11,X3,X9),c_Finite__Set_Osetsum(X8,X10,X3,X9),X9)
      | ~ c_lessequals(X10,X11,tc_fun(X3,tc_bool))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    file('<stdin>',cls_setsum__diff_0) ).

fof(c_0_88_089,axiom,
    ! [X8,X11,X3] :
      ( c_Set_Oimage(X8,X11,X3,X3) = X11
      | ~ c_Fun_Oinj__on(X8,X11,X3,X3)
      | ~ c_lessequals(c_Set_Oimage(X8,X11,X3,X3),X11,tc_fun(X3,tc_bool))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    file('<stdin>',cls_endo__inj__surj_0) ).

fof(c_0_89_090,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_lessequals(X10,c_Set_Oimage(X8,X11,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_lessequals(c_Set_Ovimage(X8,X10,X3,X9),X11,tc_fun(X3,tc_bool))
      | ~ c_Fun_Obij(X8,X3,X9) ),
    file('<stdin>',cls_vimage__subset__eq_0) ).

fof(c_0_90_091,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_lessequals(c_Set_Ovimage(X8,X10,X3,X9),X11,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X10,c_Set_Oimage(X8,X11,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_Fun_Obij(X8,X3,X9) ),
    file('<stdin>',cls_vimage__subset__eq_1) ).

fof(c_0_91_092,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_lessequals(X10,c_Set_Oimage(X8,X11,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_lessequals(c_Set_Ovimage(X8,X10,X3,X9),X11,tc_fun(X3,tc_bool))
      | ~ c_Fun_Osurj(X8,X3,X9) ),
    file('<stdin>',cls_vimage__subsetD_0) ).

fof(c_0_92_093,axiom,
    ! [X7,X11,X3] :
      ( c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),c_Finite__Set_Ocard(X11,X3),tc_nat)
      | ~ hBOOL(c_in(X7,X11,X3))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    file('<stdin>',cls_card__Diff1__less_0) ).

fof(c_0_93_094,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_lessequals(c_Finite__Set_Ocard(X11,X3),c_Finite__Set_Ocard(X10,X9),tc_nat)
      | ~ c_Finite__Set_Ofinite(X10,X9)
      | ~ c_lessequals(c_Set_Oimage(X8,X11,X3,X9),X10,tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    file('<stdin>',cls_card__inj__on__le_0) ).

fof(c_0_94_095,axiom,
    ! [X26,X3] :
      ( c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(X26,X3),X26,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X26,X3),tc_nat),X3,tc_nat)
      | ~ c_Finite__Set_Ofinite(X26,X3) ),
    file('<stdin>',cls_ex__bij__betw__finite__nat_0) ).

fof(c_0_95_096,axiom,
    ! [X26,X3] :
      ( c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__nat__finite__1__1(X26,X3),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X26,X3),tc_nat),X26,tc_nat,X3)
      | ~ c_Finite__Set_Ofinite(X26,X3) ),
    file('<stdin>',cls_ex__bij__betw__nat__finite_0) ).

fof(c_0_96_097,axiom,
    ! [X8,X11,X9,X3] :
      ( c_Fun_Oinj__on(X8,X11,X3,X9)
      | ~ c_Fun_Oinj__on(c_FuncSet_Orestrict(X8,X11,X3,X9),X11,X3,X9) ),
    file('<stdin>',cls_inj__on__restrict__eq_0) ).

fof(c_0_97_098,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_Set_Oimage(X8,X11,X3,X9) != c_Set_Oimage(X8,X10,X3,X9)
      | ~ c_Fun_Oinj__on(X8,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X3,X9)
      | X11 = X10 ),
    file('<stdin>',cls_inj__on__Un__image__eq__iff_0) ).

fof(c_0_98_099,axiom,
    ! [X15,X7,X8,X9,X3] :
      ( c_List_Omap(X8,c_List_OremoveAll(X7,X15,X3),X3,X9) = c_List_OremoveAll(hAPP(X8,X7),c_List_Omap(X8,X15,X3,X9),X9)
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_map__removeAll__inj_0) ).

fof(c_0_99_100,axiom,
    ! [X8,X10,X9,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X9)
      | c_Finite__Set_Osetsum(X8,X10,X3,X9) = c_Finite__Set_Osetsum(c_Fun_Oid(X9),c_Set_Oimage(X8,X10,X3,X9),X9,X9)
      | ~ c_Fun_Oinj__on(X8,X10,X3,X9) ),
    file('<stdin>',cls_setsum__reindex__id_0) ).

fof(c_0_100_101,axiom,
    ! [X7,X11,X3] :
      ( c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3)) = c_Finite__Set_Ocard(X11,X3)
      | ~ hBOOL(c_in(X7,X11,X3))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    file('<stdin>',cls_card__Suc__Diff1_0) ).

fof(c_0_101_102,axiom,
    ! [X7,X10,X11,X3] :
      ( c_lessequals(X11,c_Set_Oinsert(X7,X10,X3),tc_fun(X3,tc_bool))
      | ~ hBOOL(c_in(X7,X11,X3))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X10,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__insert__iff_3) ).

fof(c_0_102_103,axiom,
    ! [X7,X10,X11,X3] :
      ( c_lessequals(X11,c_Set_Oinsert(X7,X10,X3),tc_fun(X3,tc_bool))
      | ~ hBOOL(c_in(X7,X11,X3))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X10,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_diff__single__insert_0) ).

fof(c_0_103_104,axiom,
    ! [X8,X13,X10,X9,X3] :
      ( hBOOL(c_in(X13,c_Set_Ovimage(X8,X10,X3,X9),X3))
      | ~ hBOOL(c_in(hAPP(X8,X13),X10,X9)) ),
    file('<stdin>',cls_vimage__eq_1) ).

fof(c_0_104_105,axiom,
    ! [X8,X13,X11,X9,X3] :
      ( hBOOL(c_in(X13,c_Set_Ovimage(X8,X11,X9,X3),X9))
      | ~ hBOOL(c_in(hAPP(X8,X13),X11,X3)) ),
    file('<stdin>',cls_vimageI2_0) ).

fof(c_0_105_106,axiom,
    ! [X8,X13,X10,X9,X3] :
      ( hBOOL(c_in(X13,c_Set_Ovimage(X8,X10,X9,X3),X9))
      | ~ hBOOL(c_in(hAPP(X8,X13),X10,X3)) ),
    file('<stdin>',cls_vimageI_0) ).

fof(c_0_106_107,axiom,
    ! [X7,X10,X11,X3] :
      ( c_lessequals(X11,c_Set_Oinsert(X7,X10,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X10,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__insert__iff_4) ).

fof(c_0_107_108,axiom,
    ! [X7,X8,X11,X16,X3] :
      ( ~ hBOOL(c_in(X7,X11,X16))
      | hBOOL(c_in(hAPP(X8,X7),c_Set_Oimage(X8,X11,X16,X3),X3)) ),
    file('<stdin>',cls_rev__image__eqI_0) ).

fof(c_0_108_109,axiom,
    ! [X7,X8,X11,X9,X3] :
      ( ~ hBOOL(c_in(X7,X11,X9))
      | hBOOL(c_in(hAPP(X8,X7),c_Set_Oimage(X8,X11,X9,X3),X3)) ),
    file('<stdin>',cls_image__iff_2) ).

fof(c_0_109_110,axiom,
    ! [X7,X8,X11,X9,X3] :
      ( hBOOL(c_in(hAPP(X8,X7),c_Set_Oimage(X8,X11,X9,X3),X3))
      | ~ hBOOL(c_in(X7,X11,X9)) ),
    file('<stdin>',cls_image__eqI_0) ).

fof(c_0_110_111,axiom,
    ! [X7,X8,X11,X9,X3] :
      ( hBOOL(c_in(hAPP(X8,X7),c_Set_Oimage(X8,X11,X3,X9),X9))
      | ~ hBOOL(c_in(X7,X11,X3)) ),
    file('<stdin>',cls_imageI_0) ).

fof(c_0_111_112,axiom,
    ! [X7,X11,X3] :
      ( c_Finite__Set_Ocard(c_Set_Oinsert(X7,X11,X3),X3) = c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    file('<stdin>',cls_card__insert_0) ).

fof(c_0_112_113,axiom,
    ! [X6,X8,X9,X3] :
      ( hAPP(X8,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),X6)) = X6
      | ~ c_Fun_Osurj(X8,X3,X9) ),
    file('<stdin>',cls_surj__f__inv__f_0) ).

fof(c_0_113_114,axiom,
    ! [X7,X11,X3] :
      ( c_lessequals(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),c_Finite__Set_Ocard(X11,X3),tc_nat)
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    file('<stdin>',cls_card__Diff1__le_0) ).

fof(c_0_114_115,axiom,
    ! [X14,X15,X8,X9,X3] :
      ( c_List_Omap(X8,X15,X3,X9) != c_List_Omap(X8,X14,X3,X9)
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9)
      | X15 = X14 ),
    file('<stdin>',cls_inj__map__eq__map_0) ).

fof(c_0_115_116,axiom,
    ! [X14,X15,X8,X9,X3] :
      ( c_List_Omap(X8,X15,X9,X3) != c_List_Omap(X8,X14,X9,X3)
      | X15 = X14
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool)),X9,X3) ),
    file('<stdin>',cls_map__injective_0) ).

fof(c_0_116_117,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_Set_Oimage(X8,X11,X3,X9) != c_Set_Oimage(X8,X10,X3,X9)
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9)
      | X11 = X10 ),
    file('<stdin>',cls_inj__image__eq__iff_0) ).

fof(c_0_117_118,axiom,
    ! [X7,X8,X10,X11,X9,X3] :
      ( hBOOL(c_in(hAPP(X8,X7),X10,X3))
      | ~ hBOOL(c_in(X7,X11,X9))
      | ~ c_lessequals(c_Set_Oimage(X8,X11,X9,X3),X10,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_image__subset__iff_0) ).

fof(c_0_118_119,axiom,
    ! [X8,X11,X9,X3] :
      ( c_Set_Ovimage(X8,c_Set_Oimage(X8,X11,X3,X9),X3,X9) = X11
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_inj__vimage__image__eq_0) ).

fof(c_0_119_120,axiom,
    ! [X8,X13,X11,X9,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X9)
      | c_Finite__Set_Osetsum(X8,c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X9) = c_Finite__Set_Osetsum(X8,X11,X3,X9)
      | hBOOL(c_in(X13,X11,X3))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    file('<stdin>',cls_setsum__diff1_1) ).

fof(c_0_120_121,axiom,
    ! [X8,X11,X9,X3] :
      ( c_Finite__Set_Ofinite(X11,X9)
      | ~ c_Fun_Oinj__on(X8,X11,X9,X3)
      | ~ c_Finite__Set_Ofinite(c_Set_Oimage(X8,X11,X9,X3),X3) ),
    file('<stdin>',cls_finite__imageD_0) ).

fof(c_0_121_122,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_lessequals(c_Set_Ovimage(X8,X11,X9,X3),c_Set_Ovimage(X8,X10,X9,X3),tc_fun(X9,tc_bool))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_vimage__mono_0) ).

fof(c_0_122_123,axiom,
    ! [X7,X8,X11,X9,X3] :
      ( ~ c_lessequals(X7,X11,tc_fun(X9,tc_bool))
      | c_lessequals(c_Set_Oimage(X8,X7,X9,X3),c_Set_Oimage(X8,X11,X9,X3),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__image__iff_2) ).

fof(c_0_123_124,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_lessequals(c_Set_Oimage(X8,X11,X3,X9),c_Set_Oimage(X8,X10,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_image__mono_0) ).

fof(c_0_124_125,axiom,
    ! [X12] :
      ( c_Set_Oimage(X12,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) != c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)
      | v_thesis____ ),
    file('<stdin>',cls_that_0) ).

fof(c_0_125_126,axiom,
    ! [X8,X11,X9,X3] :
      ( c_Set_Ovimage(X8,X11,X3,X9) = c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),X11,X9,X3)
      | ~ c_Fun_Obij(X8,X3,X9) ),
    file('<stdin>',cls_bij__vimage__eq__inv__image_0) ).

fof(c_0_126_127,axiom,
    ! [X8,X11,X3] :
      ( c_Fun_Oinj__on(X8,X11,X3,X3)
      | ~ c_lessequals(X11,c_Set_Oimage(X8,X11,X3,X3),tc_fun(X3,tc_bool))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    file('<stdin>',cls_finite__surj__inj_0) ).

fof(c_0_127_128,axiom,
    ! [X7,X8,X11,X9,X3] :
      ( hBOOL(hAPP(c_Set_Ovimage(X8,X11,X3,X9),X7))
      | ~ hBOOL(hAPP(X11,hAPP(X8,X7))) ),
    file('<stdin>',cls_vimage__code_1) ).

fof(c_0_128_129,axiom,
    ! [X8,X11,X9,X3] :
      ( c_Fun_Oinj__on(c_FuncSet_Orestrict(X8,X11,X3,X9),X11,X3,X9)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    file('<stdin>',cls_inj__on__restrict__eq_1) ).

fof(c_0_129_130,axiom,
    ! [X8,X9,X3] :
      ( c_Fun_Osurj(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),X9,X3)
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_inj__imp__surj__inv_0) ).

fof(c_0_130_131,axiom,
    ! [X7,X10,X11,X3] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X10,tc_fun(X3,tc_bool))
      | ~ hBOOL(c_in(X7,X11,X3))
      | ~ c_lessequals(X11,c_Set_Oinsert(X7,X10,X3),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__insert__iff_0) ).

fof(c_0_131_132,axiom,
    ! [X8,X11,X9,X3] :
      ( c_lessequals(c_Finite__Set_Ocard(c_Set_Oimage(X8,X11,X3,X9),X9),c_Finite__Set_Ocard(X11,X3),tc_nat)
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    file('<stdin>',cls_card__image__le_0) ).

fof(c_0_132_133,axiom,
    ! [X7,X8,X16,X3] :
      ( ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X16,tc_bool)),X16,X3)
      | hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X16,tc_bool)),X8,X16,X3),hAPP(X8,X7)) = X7 ),
    file('<stdin>',cls_inv__f__eq_0) ).

fof(c_0_133_134,axiom,
    ! [X7,X8,X9,X3] :
      ( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),hAPP(X8,X7)) = X7
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_inv__f__f_0) ).

fof(c_0_134_135,axiom,
    ! [X7,X8,X9,X3] :
      ( hAPP(c_Fun_Othe__inv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),hAPP(X8,X7)) = X7
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_the__inv__f__f_0) ).

fof(c_0_135_136,axiom,
    ! [X7,X8,X11,X9,X3] :
      ( hAPP(c_Hilbert__Choice_Oinv__into(X11,X8,X3,X9),hAPP(X8,X7)) = X7
      | ~ hBOOL(c_in(X7,X11,X3))
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    file('<stdin>',cls_inv__into__f__f_0) ).

fof(c_0_136_137,axiom,
    ! [X7,X8,X11,X16,X3] :
      ( ~ hBOOL(c_in(X7,X11,X16))
      | ~ c_Fun_Oinj__on(X8,X11,X16,X3)
      | hAPP(c_Hilbert__Choice_Oinv__into(X11,X8,X16,X3),hAPP(X8,X7)) = X7 ),
    file('<stdin>',cls_inv__into__f__eq_0) ).

fof(c_0_137_138,axiom,
    ! [X7,X8,X11,X9,X3] :
      ( hAPP(c_Fun_Othe__inv__into(X11,X8,X3,X9),hAPP(X8,X7)) = X7
      | ~ hBOOL(c_in(X7,X11,X3))
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    file('<stdin>',cls_the__inv__into__f__f_0) ).

fof(c_0_138_139,axiom,
    ! [X7,X8,X11,X16,X3] :
      ( ~ c_Fun_Oinj__on(X8,X11,X16,X3)
      | hAPP(c_Fun_Othe__inv__into(X11,X8,X16,X3),hAPP(X8,X7)) = X7
      | ~ hBOOL(c_in(X7,X11,X16)) ),
    file('<stdin>',cls_the__inv__into__f__eq_0) ).

fof(c_0_139_140,axiom,
    ! [X8,X11,X9,X3] :
      ( c_Finite__Set_Ocard(c_Set_Oimage(X8,X11,X3,X9),X9) != c_Finite__Set_Ocard(X11,X3)
      | ~ c_Finite__Set_Ofinite(X11,X3)
      | c_Fun_Oinj__on(X8,X11,X3,X9) ),
    file('<stdin>',cls_eq__card__imp__inj__on_0) ).

fof(c_0_140_141,axiom,
    ! [X8,X11,X9,X3] :
      ( c_Set_Oimage(X8,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X11),X3,X9) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X9,tc_bool)),c_Set_Oimage(X8,X11,X3,X9))
      | ~ c_Fun_Obij(X8,X3,X9) ),
    file('<stdin>',cls_bij__image__Compl__eq_0) ).

fof(c_0_141_142,axiom,
    ! [X12,X27,X9,X3] :
      ( c_Finite__Set_Ofinite(c_Set_Ovimage(X12,X27,X9,X3),X9)
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool)),X9,X3)
      | ~ c_Finite__Set_Ofinite(X27,X3) ),
    file('<stdin>',cls_finite__vimageI_0) ).

fof(c_0_142_143,axiom,
    ! [X7,X8,X11,X9,X3] :
      ( c_Set_Oinsert(hAPP(X8,X7),c_Set_Oimage(X8,X11,X3,X9),X9) = c_Set_Oimage(X8,X11,X3,X9)
      | ~ hBOOL(c_in(X7,X11,X3)) ),
    file('<stdin>',cls_insert__image_0) ).

fof(c_0_143_144,axiom,
    ! [X8,X9,X3] :
      ( c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool)),c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),X9,X3) = X8
      | ~ c_Fun_Obij(X8,X3,X9) ),
    file('<stdin>',cls_inv__inv__eq_0) ).

fof(c_0_144_145,axiom,
    ! [X8,X9,X3] :
      ( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool)),X9,X3)
      | ~ c_Fun_Osurj(X8,X3,X9) ),
    file('<stdin>',cls_surj__imp__inj__inv_0) ).

fof(c_0_145_146,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_Finite__Set_Ofinite(X10,X9)
      | ~ c_lessequals(X10,c_Set_Oimage(X8,X11,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    file('<stdin>',cls_finite__surj_0) ).

fof(c_0_146_147,axiom,
    ! [X8,X11,X9,X3] :
      ( c_Finite__Set_Ocard(c_Set_Oimage(X8,X11,X3,X9),X9) = c_Finite__Set_Ocard(X11,X3)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9)
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    file('<stdin>',cls_inj__on__iff__eq__card_0) ).

fof(c_0_147_148,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3),c_Lattices_Olower__semilattice__class_Oinf(X7,X43,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Oupper__semilattice__class_Osup(X6,X43,X3),X3),X3) ),
    file('<stdin>',cls_distrib__inf__le_0) ).

fof(c_0_148_149,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Olower__semilattice__class_Oinf(X6,X43,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),c_Lattices_Oupper__semilattice__class_Osup(X7,X43,X3),X3),X3) ),
    file('<stdin>',cls_distrib__sup__le_0) ).

fof(c_0_149_150,axiom,
    ! [X8,X11,X9,X3] :
      ( c_Finite__Set_Ocard(c_Set_Oimage(X8,X11,X3,X9),X9) = c_Finite__Set_Ocard(X11,X3)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    file('<stdin>',cls_card__image_0) ).

fof(c_0_150_151,axiom,
    ! [X12,X27,X9,X3] :
      ( c_Finite__Set_Ofinite(X27,X9)
      | ~ c_Fun_Osurj(X12,X3,X9)
      | ~ c_Finite__Set_Ofinite(c_Set_Ovimage(X12,X27,X3,X9),X3) ),
    file('<stdin>',cls_finite__vimageD_0) ).

fof(c_0_151_152,axiom,
    ! [X12,X27,X9,X3] :
      ( c_Finite__Set_Ofinite(X27,X9)
      | ~ c_Finite__Set_Ofinite(c_Set_Ovimage(X12,X27,X3,X9),X3)
      | ~ c_Fun_Obij(X12,X3,X9) ),
    file('<stdin>',cls_finite__vimage__iff_0) ).

fof(c_0_152_153,axiom,
    ! [X35,X10,X11,X3] :
      ( hBOOL(c_in(X35,X10,X3))
      | hBOOL(c_in(X35,X11,X3))
      | ~ hBOOL(c_in(X35,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X3)) ),
    file('<stdin>',cls_UnE_0) ).

fof(c_0_153_154,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_Fun_Oinj__on(X8,X10,X3,X9)
      | ~ c_Fun_Oinj__on(X8,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_inj__on__Un_1) ).

fof(c_0_154_155,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_Fun_Oinj__on(X8,X11,X3,X9)
      | ~ c_Fun_Oinj__on(X8,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_inj__on__Un_0) ).

fof(c_0_155_156,axiom,
    ! [X23,X13,X3] :
      ( X23 = X13
      | ~ hBOOL(c_in(X23,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)) ),
    file('<stdin>',cls_singletonE_0) ).

fof(c_0_156_157,axiom,
    ! [X41,X35,X23,X13,X3] :
      ( c_Set_Oinsert(X13,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X35,c_Set_Oinsert(X41,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X13 = X41
      | X13 = X35 ),
    file('<stdin>',cls_doubleton__eq__iff_0) ).

fof(c_0_157_158,axiom,
    ! [X41,X35,X23,X13,X3] :
      ( c_Set_Oinsert(X13,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X35,c_Set_Oinsert(X41,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X23 = X35
      | X13 = X35 ),
    file('<stdin>',cls_doubleton__eq__iff_1) ).

fof(c_0_158_159,axiom,
    ! [X41,X35,X23,X13,X3] :
      ( c_Set_Oinsert(X13,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X35,c_Set_Oinsert(X41,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X13 = X41
      | X23 = X41 ),
    file('<stdin>',cls_doubleton__eq__iff_2) ).

fof(c_0_159_160,axiom,
    ! [X41,X35,X23,X13,X3] :
      ( c_Set_Oinsert(X13,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X35,c_Set_Oinsert(X41,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X23 = X35
      | X23 = X41 ),
    file('<stdin>',cls_doubleton__eq__iff_3) ).

fof(c_0_160_161,axiom,
    ! [X35,X10,X11,X3] :
      ( ~ hBOOL(c_in(X35,X10,X3))
      | ~ hBOOL(c_in(X35,c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3)) ),
    file('<stdin>',cls_DiffE_1) ).

fof(c_0_161_162,axiom,
    ! [X8,X11,X9,X3] :
      ( c_Set_Oimage(X8,c_Set_Ovimage(X8,X11,X3,X9),X3,X9) = X11
      | ~ c_Fun_Osurj(X8,X3,X9) ),
    file('<stdin>',cls_surj__image__vimage__eq_0) ).

fof(c_0_162_163,axiom,
    ! [X8,X13,X11,X9,X3] :
      ( c_Fun_Oinj__on(X8,X11,X3,X9)
      | ~ c_Fun_Oinj__on(X8,c_Set_Oinsert(X13,X11,X3),X3,X9) ),
    file('<stdin>',cls_inj__on__insert_0) ).

fof(c_0_163_164,axiom,
    ! [X13,X11,X3] :
      ( c_Set_Oinsert(X13,c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X11
      | ~ hBOOL(c_in(X13,X11,X3)) ),
    file('<stdin>',cls_insert__Diff_0) ).

fof(c_0_164_165,axiom,
    ! [X32,X10,X11,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),X32,tc_fun(X3,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(X11,c_Lattices_Oupper__semilattice__class_Osup(X10,X32,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | c_lessequals(X32,X11,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__Int__assoc__eq_0) ).

fof(c_0_165_166,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_Fun_Oinj__on(X8,c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3,X9)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    file('<stdin>',cls_inj__on__diff_0) ).

fof(c_0_166_167,axiom,
    ! [X6,X7,X8,X11,X9,X3] :
      ( hAPP(X8,X7) != hAPP(X8,X6)
      | ~ hBOOL(c_in(X6,X11,X3))
      | ~ hBOOL(c_in(X7,X11,X3))
      | X7 = X6
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    file('<stdin>',cls_inj__on__contraD_0) ).

fof(c_0_167_168,axiom,
    ! [X6,X7,X8,X11,X9,X3] :
      ( hAPP(X8,X7) != hAPP(X8,X6)
      | ~ hBOOL(c_in(X6,X11,X3))
      | ~ hBOOL(c_in(X7,X11,X3))
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9)
      | X7 = X6 ),
    file('<stdin>',cls_inj__on__iff_0) ).

fof(c_0_168_169,axiom,
    ! [X25,X7,X8,X11,X9,X3] :
      ( hAPP(X8,X7) != hAPP(X8,X25)
      | ~ hBOOL(c_in(X25,X11,X3))
      | ~ hBOOL(c_in(X7,X11,X3))
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9)
      | X7 = X25 ),
    file('<stdin>',cls_inj__on__def_0) ).

fof(c_0_169_170,axiom,
    ! [X6,X7,X8,X11,X9,X3] :
      ( hAPP(X8,X7) != hAPP(X8,X6)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9)
      | X7 = X6
      | ~ hBOOL(c_in(X6,X11,X3))
      | ~ hBOOL(c_in(X7,X11,X3)) ),
    file('<stdin>',cls_inj__onD_0) ).

fof(c_0_170_171,axiom,
    ! [X24,X8,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | hAPP(X8,c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X3)
      | c_Finite__Set_Osetsum(X8,c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X24,tc_nat),tc_nat,X3) = c_Finite__Set_Osetsum(X8,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X24,tc_nat),tc_nat,X3) ),
    file('<stdin>',cls_setsum__shift__lb__Suc0__0__upt_0) ).

fof(c_0_171_172,axiom,
    ! [X35,X10,X11,X3] :
      ( hBOOL(c_in(X35,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),X3))
      | ~ hBOOL(c_in(X35,X10,X3))
      | ~ hBOOL(c_in(X35,X11,X3)) ),
    file('<stdin>',cls_IntI_0) ).

fof(c_0_172_173,axiom,
    ! [X35,X10,X11,X3] :
      ( hBOOL(c_in(X35,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),X3))
      | ~ hBOOL(c_in(X35,X10,X3))
      | ~ hBOOL(c_in(X35,X11,X3)) ),
    file('<stdin>',cls_Int__iff_2) ).

fof(c_0_173_174,axiom,
    ! [X35,X10,X11,X3] :
      ( hBOOL(c_in(X35,X11,X3))
      | ~ hBOOL(c_in(X35,c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3)) ),
    file('<stdin>',cls_DiffE_0) ).

fof(c_0_174_175,axiom,
    ! [X35,X10,X11,X3] :
      ( hBOOL(c_in(X35,X10,X3))
      | ~ hBOOL(c_in(X35,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),X3)) ),
    file('<stdin>',cls_IntE_1) ).

fof(c_0_175_176,axiom,
    ! [X35,X10,X11,X3] :
      ( hBOOL(c_in(X35,X11,X3))
      | ~ hBOOL(c_in(X35,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),X3)) ),
    file('<stdin>',cls_IntE_0) ).

fof(c_0_176_177,axiom,
    ! [X13,X10,X11,X3] :
      ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X13,X10,X3),tc_fun(X3,tc_bool)),X3) ),
    file('<stdin>',cls_finite__Diff__insert_0) ).

fof(c_0_177_178,axiom,
    ! [X8,X10,X11,X9,X3] :
      ( c_Fun_Oinj__on(X8,X11,X3,X9)
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | ~ c_Fun_Oinj__on(X8,X10,X3,X9) ),
    file('<stdin>',cls_subset__inj__on_0) ).

fof(c_0_178_179,axiom,
    ! [X35,X11,X3] :
      ( ~ hBOOL(c_in(X35,X11,X3))
      | ~ hBOOL(c_in(X35,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X11),X3)) ),
    file('<stdin>',cls_ComplD_0) ).

fof(c_0_179_180,axiom,
    ! [X8,X9,X3] :
      ( c_Fun_Obij(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),X9,X3)
      | ~ c_Fun_Obij(X8,X3,X9) ),
    file('<stdin>',cls_bij__imp__bij__inv_0) ).

fof(c_0_180_181,axiom,
    ! [X7,X11,X3] :
      ( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Finite__Set_Ocard(X11,X3)
      | hBOOL(c_in(X7,X11,X3))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    file('<stdin>',cls_card__Diff__singleton__if_1) ).

fof(c_0_181_182,axiom,
    ! [X35,X10,X11,X3] :
      ( hBOOL(c_in(X35,c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3))
      | hBOOL(c_in(X35,X10,X3))
      | ~ hBOOL(c_in(X35,X11,X3)) ),
    file('<stdin>',cls_Diff__iff_2) ).

fof(c_0_182_183,axiom,
    ! [X35,X10,X11,X3] :
      ( hBOOL(c_in(X35,c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3))
      | hBOOL(c_in(X35,X10,X3))
      | ~ hBOOL(c_in(X35,X11,X3)) ),
    file('<stdin>',cls_DiffI_0) ).

fof(c_0_183_184,axiom,
    ! [X7,X8,X11,X9,X3] :
      ( hAPP(c_FuncSet_Orestrict(X8,X11,X9,X3),X7) = hAPP(X8,X7)
      | ~ hBOOL(c_in(X7,X11,X9)) ),
    file('<stdin>',cls_restrict__apply_0) ).

fof(c_0_184_185,axiom,
    ! [X25,X21,X22] :
      ( hBOOL(hAPP(X22,X25))
      | ~ hBOOL(c_in(X25,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X21,tc_nat),tc_nat))
      | ~ hBOOL(hAPP(X22,c_List_Osko__List__Xall__nat__less__eq__1__1(X22,X21))) ),
    file('<stdin>',cls_all__nat__less__eq_1) ).

fof(c_0_185_186,axiom,
    ! [X7,X21,X22] :
      ( hBOOL(hAPP(X22,c_List_Osko__List__Xex__nat__less__eq__1__2(X22,X21)))
      | ~ hBOOL(hAPP(X22,X7))
      | ~ hBOOL(c_in(X7,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X21,tc_nat),tc_nat)) ),
    file('<stdin>',cls_ex__nat__less__eq_3) ).

fof(c_0_186_187,axiom,
    ! [X13,X10,X11,X3] :
      ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X13,X10,X3),tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3) ),
    file('<stdin>',cls_finite__Diff__insert_1) ).

fof(c_0_187_188,axiom,
    ! [X7,X21,X22] :
      ( c_HOL_Oord__class_Oless(c_List_Osko__List__Xex__nat__less__eq__1__2(X22,X21),X21,tc_nat)
      | ~ hBOOL(hAPP(X22,X7))
      | ~ hBOOL(c_in(X7,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X21,tc_nat),tc_nat)) ),
    file('<stdin>',cls_ex__nat__less__eq_2) ).

fof(c_0_188_189,axiom,
    ! [X8,X3] :
      ( c_Fun_Osurj(X8,X3,X3)
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X3)
      | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3) ),
    file('<stdin>',cls_finite__UNIV__inj__surj_0) ).

fof(c_0_189_190,axiom,
    ! [X31,X32,X10,X11,X3] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X32,X31,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X31,X10,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X32,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Diff__mono_0) ).

fof(c_0_190_191,axiom,
    ! [X31,X32,X10,X11,X3] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X32,X31,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X10,X31,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X32,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__mono_0) ).

fof(c_0_191_192,axiom,
    ! [X31,X32,X10,X11,X3] :
      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X32,X31,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X10,X31,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X32,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Int__mono_0) ).

fof(c_0_192_193,axiom,
    ! [X7,X21,X22] :
      ( hBOOL(hAPP(X22,X7))
      | ~ hBOOL(c_in(X7,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X21,tc_nat),tc_nat))
      | c_HOL_Oord__class_Oless(c_List_Osko__List__Xall__nat__less__eq__1__1(X22,X21),X21,tc_nat) ),
    file('<stdin>',cls_all__nat__less__eq_0) ).

fof(c_0_193_194,axiom,
    ! [X23,X13,X11,X3] :
      ( hBOOL(c_in(X13,X11,X3))
      | X13 = X23
      | ~ hBOOL(c_in(X13,c_Set_Oinsert(X23,X11,X3),X3)) ),
    file('<stdin>',cls_insertE_0) ).

fof(c_0_194_195,axiom,
    ! [X21,X23,X13,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_lessequals(X13,X23,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X23,X3)
      | ~ c_lessequals(c_Power_Opower__class_Opower(X13,c_Suc(X21),X3),c_Power_Opower__class_Opower(X23,c_Suc(X21),X3),X3) ),
    file('<stdin>',cls_power__le__imp__le__base_0) ).

fof(c_0_195_196,axiom,
    ! [X12,X27,X9,X3] :
      ( c_Finite__Set_Ofinite(c_Set_Ovimage(X12,X27,X3,X9),X3)
      | ~ c_Finite__Set_Ofinite(X27,X9)
      | ~ c_Fun_Obij(X12,X3,X9) ),
    file('<stdin>',cls_finite__vimage__iff_1) ).

fof(c_0_196_197,axiom,
    ! [X8,X9,X3] :
      ( c_Fun_Obij(X8,X3,X9)
      | ~ c_Fun_Osurj(X8,X3,X9)
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_bij__def_2) ).

fof(c_0_197_198,axiom,
    ! [X8,X9,X3] :
      ( c_Fun_Obij(X8,X3,X9)
      | ~ c_Fun_Osurj(X8,X3,X9)
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_bijI_0) ).

fof(c_0_198_199,axiom,
    ! [X10,X11,X3] :
      ( c_lessequals(X10,X11,tc_fun(X3,tc_bool))
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X11),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X10),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Compl__subset__Compl__iff_0) ).

fof(c_0_199_200,axiom,
    ! [X23,X13,X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X13,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X13,X23,X3) ),
    file('<stdin>',cls_Sup__binary_0) ).

fof(c_0_200_201,axiom,
    ! [X32,X10,X11,X3] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X32,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,c_Lattices_Oupper__semilattice__class_Osup(X10,X32,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Diff__subset__conv_1) ).

fof(c_0_201_202,axiom,
    ! [X32,X10,X11,X3] :
      ( c_lessequals(X11,c_Lattices_Oupper__semilattice__class_Osup(X10,X32,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X32,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Diff__subset__conv_0) ).

fof(c_0_202_203,axiom,
    ! [X35,X10,X11,X3] :
      ( hBOOL(c_in(X35,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X3))
      | ~ hBOOL(c_in(X35,X10,X3)) ),
    file('<stdin>',cls_UnCI_0) ).

fof(c_0_203_204,axiom,
    ! [X35,X10,X11,X3] :
      ( hBOOL(c_in(X35,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X3))
      | ~ hBOOL(c_in(X35,X11,X3)) ),
    file('<stdin>',cls_UnCI_1) ).

fof(c_0_204_205,axiom,
    ! [X7,X11,X3] :
      ( X11 = c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
      | X11 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__singletonD_0) ).

fof(c_0_205_206,axiom,
    ! [X7,X10,X11,X3] :
      ( hBOOL(hAPP(X10,X7))
      | hBOOL(hAPP(X11,X7))
      | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X7)) ),
    file('<stdin>',cls_sup1E_0) ).

fof(c_0_206_207,axiom,
    ! [X32,X10,X11,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),X32,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X11,c_Lattices_Oupper__semilattice__class_Osup(X10,X32,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X32,X11,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__Int__assoc__eq_1) ).

fof(c_0_207_208,axiom,
    ! [X21,X23,X13,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(X13,X23,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X23,X3)
      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X13,X21,X3),c_Power_Opower__class_Opower(X23,X21,X3),X3) ),
    file('<stdin>',cls_power__less__imp__less__base_0) ).

fof(c_0_208_209,axiom,
    ! [X41,X35,X23,X13,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X35,X13,X3)
      | c_lessequals(X23,X13,X3)
      | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X13,X23,X3),c_SetInterval_Oord__class_OatLeastLessThan(X35,X41,X3),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_atLeastLessThan__subset__iff_0) ).

fof(c_0_209_210,axiom,
    ! [X41,X35,X23,X13,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X23,X41,X3)
      | c_lessequals(X23,X13,X3)
      | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X13,X23,X3),c_SetInterval_Oord__class_OatLeastLessThan(X35,X41,X3),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_atLeastLessThan__subset__iff_1) ).

fof(c_0_210_211,axiom,
    ! [X7,X3] :
      ( hBOOL(c_in(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))
      | c_Finite__Set_Ocard(c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) ),
    file('<stdin>',cls_card__Suc__eq_5) ).

fof(c_0_211_212,axiom,
    ! [X13,X32,X10,X3] :
      ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X13,X10,X3),X32,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X13,c_Lattices_Olower__semilattice__class_Oinf(X10,X32,tc_fun(X3,tc_bool)),X3)
      | ~ hBOOL(c_in(X13,X32,X3)) ),
    file('<stdin>',cls_Int__insert__left_0) ).

fof(c_0_212_213,axiom,
    ! [X13,X10,X11,X3] :
      ( c_Lattices_Olower__semilattice__class_Oinf(X11,c_Set_Oinsert(X13,X10,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X13,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),X3)
      | ~ hBOOL(c_in(X13,X11,X3)) ),
    file('<stdin>',cls_Int__insert__right_0) ).

fof(c_0_213_214,axiom,
    ! [X7,X10,X11,X3] :
      ( hBOOL(hAPP(X10,X7))
      | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),X7)) ),
    file('<stdin>',cls_inf1E_1) ).

fof(c_0_214_215,axiom,
    ! [X7,X10,X11,X3] :
      ( hBOOL(hAPP(X11,X7))
      | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),X7)) ),
    file('<stdin>',cls_inf1E_0) ).

fof(c_0_215_216,axiom,
    ! [X21,X23,X13,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X13,X21,X3),c_Power_Opower__class_Opower(X23,X21,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X21,tc_nat)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X13,X3)
      | ~ c_HOL_Oord__class_Oless(X13,X23,X3) ),
    file('<stdin>',cls_power__strict__mono_0) ).

fof(c_0_216_217,axiom,
    ! [X8,X9,X3] :
      ( c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9)
      | hAPP(X8,c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__1(X8,X3,X9)) = hAPP(X8,c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__2(X8,X3,X9)) ),
    file('<stdin>',cls_datatype__injI_0) ).

fof(c_0_217_218,axiom,
    ! [X8,X9,X3] :
      ( c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9)
      | hAPP(X8,c_ATP__Linkup_Osko__Fun__XinjI__1__1(X8,X3,X9)) = hAPP(X8,c_ATP__Linkup_Osko__Fun__XinjI__1__2(X8,X3,X9)) ),
    file('<stdin>',cls_injI_0) ).

fof(c_0_218_219,axiom,
    ! [X12,X27,X9,X3] :
      ( c_Finite__Set_Ofinite(c_Set_Oimage(X12,X27,X3,X9),X9)
      | ~ c_Finite__Set_Ofinite(X27,X3) ),
    file('<stdin>',cls_finite__imageI_0) ).

fof(c_0_219_220,axiom,
    ! [X29,X28,X30,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X30,X28,X3),c_SetInterval_Oord__class_OatLeastLessThan(X28,X29,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X30,X29,X3)
      | ~ c_lessequals(X28,X29,X3)
      | ~ c_lessequals(X30,X28,X3) ),
    file('<stdin>',cls_ivl__disj__un_I17_J_0) ).

fof(c_0_220_221,axiom,
    ! [X6,X7,X8,X9,X3] :
      ( hAPP(X8,X7) != hAPP(X8,X6)
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9)
      | X7 = X6 ),
    file('<stdin>',cls_injD_0) ).

fof(c_0_221_222,axiom,
    ! [X7,X10,X11,X3] :
      ( ~ hBOOL(c_in(X7,X10,X3))
      | ~ hBOOL(c_in(X7,X11,X3))
      | c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_disjoint__iff__not__equal_0) ).

fof(c_0_222_223,axiom,
    ! [X7,X11,X3] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X7,X11,X3),c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X11
      | hBOOL(c_in(X7,X11,X3)) ),
    file('<stdin>',cls_Diff__insert__absorb_0) ).

fof(c_0_223_224,axiom,
    ! [X7,X10,X11,X3] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X7,X11,X3),X10,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X7,c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3)
      | hBOOL(c_in(X7,X10,X3)) ),
    file('<stdin>',cls_insert__Diff__if_1) ).

fof(c_0_224_225,axiom,
    ! [X23,X13,X10,X3] :
      ( hBOOL(c_in(X13,c_Set_Oinsert(X23,X10,X3),X3))
      | ~ hBOOL(c_in(X13,X10,X3)) ),
    file('<stdin>',cls_insertCI_0) ).

fof(c_0_225_226,axiom,
    ! [X23,X13,X11,X3] :
      ( hBOOL(c_in(X13,c_Set_Oinsert(X23,X11,X3),X3))
      | ~ hBOOL(c_in(X13,X11,X3)) ),
    file('<stdin>',cls_insert__iff_2) ).

fof(c_0_226_227,axiom,
    ! [X8,X3] :
      ( c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X3)
      | ~ c_Fun_Osurj(X8,X3,X3)
      | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3) ),
    file('<stdin>',cls_finite__UNIV__surj__inj_0) ).

fof(c_0_227_228,axiom,
    ! [X35,X11,X3] :
      ( hBOOL(c_in(X35,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X11),X3))
      | hBOOL(c_in(X35,X11,X3)) ),
    file('<stdin>',cls_ComplI_0) ).

fof(c_0_228_229,axiom,
    ! [X7,X10,X11,X3] :
      ( c_lessequals(c_Set_Oinsert(X7,X11,X3),X10,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | ~ hBOOL(c_in(X7,X10,X3)) ),
    file('<stdin>',cls_insert__subset_2) ).

fof(c_0_229_230,axiom,
    ! [X7,X10,X11,X3] :
      ( c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | hBOOL(c_in(X7,X11,X3))
      | ~ c_lessequals(X11,c_Set_Oinsert(X7,X10,X3),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__insert__iff_1) ).

fof(c_0_230_231,axiom,
    ! [X7,X10,X11,X3] :
      ( c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,c_Set_Oinsert(X7,X10,X3),tc_fun(X3,tc_bool))
      | hBOOL(c_in(X7,X11,X3)) ),
    file('<stdin>',cls_subset__insert_0) ).

fof(c_0_231_232,axiom,
    ! [X32,X10,X11,X3] :
      ( c_HOL_Ominus__class_Ominus(X10,c_HOL_Ominus__class_Ominus(X32,X11,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X11
      | ~ c_lessequals(X10,X32,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_double__diff_0) ).

fof(c_0_232_233,axiom,
    ! [X32,X10,X11,X3] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X32,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X10,X32,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X32,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__subset__iff_2) ).

fof(c_0_233_234,axiom,
    ! [X32,X10,X11,X3] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X32,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X10,X32,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X32,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__least_0) ).

fof(c_0_234_235,axiom,
    ! [X32,X10,X11,X3] :
      ( c_lessequals(X32,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X32,X10,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X32,X11,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Int__greatest_0) ).

fof(c_0_235_236,axiom,
    ! [X32,X10,X11,X3] :
      ( c_lessequals(X32,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X32,X10,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X32,X11,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Int__subset__iff_2) ).

fof(c_0_236_237,axiom,
    ! [X8,X9,X3] :
      ( c_ATP__Linkup_Osko__Fun__XinjI__1__1(X8,X3,X9) != c_ATP__Linkup_Osko__Fun__XinjI__1__2(X8,X3,X9)
      | c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_injI_1) ).

fof(c_0_237_238,axiom,
    ! [X8,X9,X3] :
      ( c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__1(X8,X3,X9) != c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__2(X8,X3,X9)
      | c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    file('<stdin>',cls_datatype__injI_1) ).

fof(c_0_238_239,axiom,
    ! [X21,X23,X13,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_Power_Opower__class_Opower(X13,X21,X3) != c_Power_Opower__class_Opower(X23,X21,X3)
      | X13 = X23
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X21,tc_nat)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X23,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X13,X3) ),
    file('<stdin>',cls_power__eq__imp__eq__base_0) ).

fof(c_0_239_240,axiom,
    ! [X8,X11,X9,X3] :
      ( c_Set_Oimage(X8,X11,X9,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X11 = c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)) ),
    file('<stdin>',cls_image__is__empty_0) ).

fof(c_0_240_241,axiom,
    ! [X8,X11,X9,X3] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Set_Oimage(X8,X11,X9,X3)
      | X11 = c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)) ),
    file('<stdin>',cls_empty__is__image_0) ).

fof(c_0_241_242,axiom,
    ! [X10,X11,X3] :
      ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X10),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X11),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Compl__anti__mono_0) ).

fof(c_0_242_243,axiom,
    ! [X10,X11,X3] :
      ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X11),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X10),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X10,X11,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Compl__subset__Compl__iff_1) ).

fof(c_0_243_244,axiom,
    ! [X21,X23,X13,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_lessequals(c_Power_Opower__class_Opower(X13,X21,X3),c_Power_Opower__class_Opower(X23,X21,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X13,X3)
      | ~ c_lessequals(X13,X23,X3) ),
    file('<stdin>',cls_power__mono_0) ).

fof(c_0_244_245,axiom,
    ! [X21,X28,X8,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | c_Finite__Set_Osetsum(X8,c_SetInterval_Oord__class_OatLeastLessThan(X28,c_Suc(X21),tc_nat),tc_nat,X3) = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_HOL_Oord__class_Oless(X21,X28,tc_nat) ),
    file('<stdin>',cls_setsum__op__ivl__Suc_0) ).

fof(c_0_245_246,axiom,
    ! [X32,X10,X11,X3] :
      ( c_lessequals(X32,X10,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X32,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Int__subset__iff_1) ).

fof(c_0_246_247,axiom,
    ! [X32,X10,X11,X3] :
      ( c_lessequals(X32,X11,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X32,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Int__subset__iff_0) ).

fof(c_0_247_248,axiom,
    ! [X32,X10,X11,X3] :
      ( c_lessequals(X11,X32,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X32,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__subset__iff_0) ).

fof(c_0_248_249,axiom,
    ! [X32,X10,X11,X3] :
      ( c_lessequals(X10,X32,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X32,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__subset__iff_1) ).

fof(c_0_249_250,axiom,
    ! [X21,X28,X42,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(X42,X28,X3),c_SetInterval_Oord__class_OatLeastLessThan(X42,X21,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X21,X28,X3)
      | ~ c_lessequals(X42,X21,X3) ),
    file('<stdin>',cls_ivl__diff_0) ).

fof(c_0_250_251,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Odistrib__lattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X6,X43,X3),X7,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X6,X7,X3),c_Lattices_Olower__semilattice__class_Oinf(X43,X7,X3),X3) ),
    file('<stdin>',cls_inf__sup__distrib2_0) ).

fof(c_0_251_252,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Odistrib__lattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Oupper__semilattice__class_Osup(X6,X43,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3),c_Lattices_Olower__semilattice__class_Oinf(X7,X43,X3),X3) ),
    file('<stdin>',cls_inf__sup__distrib1_0) ).

fof(c_0_252_253,axiom,
    ! [X7,X10,X11,X3] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X7,X11,X3),X10,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool))
      | ~ hBOOL(c_in(X7,X10,X3)) ),
    file('<stdin>',cls_insert__Diff1_0) ).

fof(c_0_253_254,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Odistrib__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X6,X43,X3),X7,X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X6,X7,X3),c_Lattices_Oupper__semilattice__class_Osup(X43,X7,X3),X3) ),
    file('<stdin>',cls_sup__inf__distrib2_0) ).

fof(c_0_254_255,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Odistrib__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Olower__semilattice__class_Oinf(X6,X43,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),c_Lattices_Oupper__semilattice__class_Osup(X7,X43,X3),X3) ),
    file('<stdin>',cls_sup__inf__distrib1_0) ).

fof(c_0_255_256,axiom,
    ! [X7,X10,X11,X3] :
      ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),X7))
      | ~ hBOOL(hAPP(X10,X7))
      | ~ hBOOL(hAPP(X11,X7)) ),
    file('<stdin>',cls_inf1I_0) ).

fof(c_0_256_257,axiom,
    ! [X10,X11,X3] :
      ( c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X10),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_disjoint__eq__subset__Compl_1) ).

fof(c_0_257_258,axiom,
    ! [X24,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X24,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),c_SetInterval_Oord__class_OlessThan(X24,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X24,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    file('<stdin>',cls_single__Diff__lessThan_0) ).

fof(c_0_258_259,axiom,
    ! [X7,X10,X11,X3] :
      ( c_lessequals(X11,c_Set_Oinsert(X7,X10,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | hBOOL(c_in(X7,X11,X3)) ),
    file('<stdin>',cls_subset__insert__iff_2) ).

fof(c_0_259_260,axiom,
    ! [X7,X10,X11,X3] :
      ( c_lessequals(X11,c_Set_Oinsert(X7,X10,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | hBOOL(c_in(X7,X11,X3)) ),
    file('<stdin>',cls_subset__insert_1) ).

fof(c_0_260_261,axiom,
    ! [X6,X7,X11,X3] :
      ( hBOOL(hAPP(X11,X7))
      | X6 = X7
      | ~ hBOOL(hAPP(c_Set_Oinsert(X6,X11,X3),X7)) ),
    file('<stdin>',cls_insert__code_0) ).

fof(c_0_261_262,axiom,
    ! [X13,X31,X32,X3] :
      ( c_lessequals(c_Set_Oinsert(X13,X32,X3),c_Set_Oinsert(X13,X31,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X32,X31,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_insert__mono_0) ).

fof(c_0_262_263,axiom,
    ! [X8,X9,X3] :
      ( c_Set_Oimage(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) = c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool))
      | ~ c_Fun_Osurj(X8,X3,X9) ),
    file('<stdin>',cls_surj__range_0) ).

fof(c_0_263_264,axiom,
    ! [X7,X10,X11,X3] :
      ( hBOOL(c_in(X7,X10,X3))
      | ~ hBOOL(c_in(X7,X11,X3))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_set__mp_0) ).

fof(c_0_264_265,axiom,
    ! [X35,X10,X11,X3] :
      ( hBOOL(c_in(X35,X10,X3))
      | ~ hBOOL(c_in(X35,X11,X3))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subsetD_0) ).

fof(c_0_265_266,axiom,
    ! [X7,X10,X11,X3] :
      ( hBOOL(c_in(X7,X10,X3))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | ~ hBOOL(c_in(X7,X11,X3)) ),
    file('<stdin>',cls_set__rev__mp_0) ).

fof(c_0_266_267,axiom,
    ! [X45,X10,X11,X3] :
      ( hBOOL(c_in(X45,X10,X3))
      | ~ hBOOL(c_in(X45,X11,X3))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__iff_0) ).

fof(c_0_267_268,axiom,
    ! [X7,X10,X11,X3] :
      ( hBOOL(c_in(X7,X10,X3))
      | ~ c_lessequals(c_Set_Oinsert(X7,X11,X3),X10,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_insert__subset_0) ).

fof(c_0_268_269,axiom,
    ! [X7,X10,X11,X3] :
      ( c_Set_Oinsert(X7,X11,X3) != c_Set_Oinsert(X7,X10,X3)
      | hBOOL(c_in(X7,X10,X3))
      | hBOOL(c_in(X7,X11,X3))
      | X11 = X10 ),
    file('<stdin>',cls_insert__ident_0) ).

fof(c_0_269_270,axiom,
    ! [X21,X23,X13,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_Power_Opower__class_Opower(X13,c_Suc(X21),X3) != c_Power_Opower__class_Opower(X23,c_Suc(X21),X3)
      | X13 = X23
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X23,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X13,X3) ),
    file('<stdin>',cls_power__inject__base_0) ).

fof(c_0_270_271,axiom,
    ! [X8,X9,X3] :
      ( c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9)
      | ~ c_Fun_Obij(X8,X3,X9) ),
    file('<stdin>',cls_bij__def_0) ).

fof(c_0_271_272,axiom,
    ! [X7,X22,X3] :
      ( ~ hBOOL(hAPP(X22,X7))
      | ~ hBOOL(c_in(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) ),
    file('<stdin>',cls_bex__empty_0) ).

fof(c_0_272_273,axiom,
    ! [X7,X10,X11,X3] :
      ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X7))
      | ~ hBOOL(hAPP(X10,X7)) ),
    file('<stdin>',cls_sup1CI_0) ).

fof(c_0_273_274,axiom,
    ! [X7,X10,X11,X3] :
      ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X7))
      | ~ hBOOL(hAPP(X11,X7)) ),
    file('<stdin>',cls_sup1CI_1) ).

fof(c_0_274_275,axiom,
    ! [X13,X10,X11,X3] :
      ( c_Lattices_Olower__semilattice__class_Oinf(X11,c_Set_Oinsert(X13,X10,X3),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool))
      | hBOOL(c_in(X13,X11,X3)) ),
    file('<stdin>',cls_Int__insert__right_1) ).

fof(c_0_275_276,axiom,
    ! [X13,X32,X10,X3] :
      ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X13,X10,X3),X32,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X10,X32,tc_fun(X3,tc_bool))
      | hBOOL(c_in(X13,X32,X3)) ),
    file('<stdin>',cls_Int__insert__left_1) ).

fof(c_0_276_277,axiom,
    ! [X10,X11,X3] :
      ( c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | c_lessequals(X11,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X10),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_disjoint__eq__subset__Compl_0) ).

fof(c_0_277_278,axiom,
    ! [X7,X22,X3] :
      ( hBOOL(hAPP(X22,X7))
      | ~ hBOOL(c_in(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) ),
    file('<stdin>',cls_ball__empty_0) ).

fof(c_0_278_279,axiom,
    ! [X7,X10,X11,X3] :
      ( c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Set_Oinsert(X7,X11,X3),X10,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_insert__subset_1) ).

fof(c_0_279_280,axiom,
    ! [X11,X3] :
      ( X11 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X11),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__Compl__self__eq_0) ).

fof(c_0_280_281,axiom,
    ! [X10,X11,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X11,c_HOL_Ominus__class_Ominus(X10,X11,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X10
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Diff__partition_0) ).

fof(c_0_281_282,axiom,
    ! [X7,X11,X3] :
      ( c_lessequals(c_Finite__Set_Ocard(X11,X3),c_Finite__Set_Ocard(c_Set_Oinsert(X7,X11,X3),X3),tc_nat)
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    file('<stdin>',cls_card__insert__le_0) ).

fof(c_0_282_283,axiom,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X13,X23,X3),X7,X3)
      | ~ c_lessequals(X23,X7,X3)
      | ~ c_lessequals(X13,X7,X3) ),
    file('<stdin>',cls_le__supI_0) ).

fof(c_0_283_284,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X6,X43,X3),X7,X3)
      | ~ c_lessequals(X43,X7,X3)
      | ~ c_lessequals(X6,X7,X3) ),
    file('<stdin>',cls_sup__least_0) ).

fof(c_0_284_285,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X43,X3)
      | ~ c_lessequals(X6,X43,X3)
      | ~ c_lessequals(X7,X43,X3) ),
    file('<stdin>',cls_le__sup__iff_2) ).

fof(c_0_285_286,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X7,c_Lattices_Olower__semilattice__class_Oinf(X6,X43,X3),X3)
      | ~ c_lessequals(X7,X43,X3)
      | ~ c_lessequals(X7,X6,X3) ),
    file('<stdin>',cls_inf__greatest_0) ).

fof(c_0_286_287,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X7,c_Lattices_Olower__semilattice__class_Oinf(X6,X43,X3),X3)
      | ~ c_lessequals(X7,X43,X3)
      | ~ c_lessequals(X7,X6,X3) ),
    file('<stdin>',cls_le__inf__iff_2) ).

fof(c_0_287_288,axiom,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X7,c_Lattices_Olower__semilattice__class_Oinf(X13,X23,X3),X3)
      | ~ c_lessequals(X7,X23,X3)
      | ~ c_lessequals(X7,X13,X3) ),
    file('<stdin>',cls_le__infI_0) ).

fof(c_0_288_289,axiom,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X13,X23,X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),X3)) ),
    file('<stdin>',cls_inf__eq__neg__sup_0) ).

fof(c_0_289_290,axiom,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X13,X23,X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),X3)) ),
    file('<stdin>',cls_sup__eq__neg__inf_0) ).

fof(c_0_290_291,axiom,
    ! [X23,X13,X3] :
      ( c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
      | X13 = X23 ),
    file('<stdin>',cls_singleton__inject_0) ).

fof(c_0_291_292,axiom,
    ! [X7,X11,X3] :
      ( c_Finite__Set_Ocard(c_Set_Oinsert(X7,X11,X3),X3) = c_Finite__Set_Ocard(X11,X3)
      | ~ hBOOL(c_in(X7,X11,X3))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    file('<stdin>',cls_card__insert__if_0) ).

fof(c_0_292_293,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X43,X3) = c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X6,X43,X3),X3) ),
    file('<stdin>',cls_sup__assoc_0) ).

fof(c_0_293_294,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X6,X43,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X7,X43,X3),X3) ),
    file('<stdin>',cls_sup__left__commute_0) ).

fof(c_0_294_295,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X6,X43,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X7,X43,X3),X3) ),
    file('<stdin>',cls_inf__sup__aci_I7_J_0) ).

fof(c_0_295_296,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X43,X3) = c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X6,X43,X3),X3) ),
    file('<stdin>',cls_inf__sup__aci_I6_J_0) ).

fof(c_0_296_297,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3),X43,X3) = c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Olower__semilattice__class_Oinf(X6,X43,X3),X3) ),
    file('<stdin>',cls_inf__sup__aci_I2_J_0) ).

fof(c_0_297_298,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Olower__semilattice__class_Oinf(X6,X43,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Olower__semilattice__class_Oinf(X7,X43,X3),X3) ),
    file('<stdin>',cls_inf__sup__aci_I3_J_0) ).

fof(c_0_298_299,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Olower__semilattice__class_Oinf(X6,X43,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Olower__semilattice__class_Oinf(X7,X43,X3),X3) ),
    file('<stdin>',cls_inf__left__commute_0) ).

fof(c_0_299_300,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3),X43,X3) = c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Olower__semilattice__class_Oinf(X6,X43,X3),X3) ),
    file('<stdin>',cls_inf__assoc_0) ).

fof(c_0_300_301,axiom,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X13,X23,X3)
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X13,X23,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_le__iff__diff__le__0_1) ).

fof(c_0_301_302,axiom,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X13,X23,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X13,X23,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_less__iff__diff__less__0_1) ).

fof(c_0_302_303,axiom,
    ! [X29,X28,X30,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X30,X28,X3),c_SetInterval_Oord__class_OatLeastLessThan(X28,X29,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_ivl__disj__int_I11_J_0) ).

fof(c_0_303_304,axiom,
    ! [X32,X10,X11,X3] :
      ( c_lessequals(X11,X32,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X10,X32,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__trans_0) ).

fof(c_0_304_305,axiom,
    ! [X33,X6,X34,X7,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X7,X6,X3) != c_HOL_Ominus__class_Ominus(X34,X33,X3)
      | c_lessequals(X33,X34,X3)
      | ~ c_lessequals(X6,X7,X3) ),
    file('<stdin>',cls_le__eqI_0) ).

fof(c_0_305_306,axiom,
    ! [X33,X6,X34,X7,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X7,X6,X3) != c_HOL_Ominus__class_Ominus(X34,X33,X3)
      | c_lessequals(X6,X7,X3)
      | ~ c_lessequals(X33,X34,X3) ),
    file('<stdin>',cls_le__eqI_1) ).

fof(c_0_306_307,axiom,
    ! [X33,X6,X34,X7,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X7,X6,X3) != c_HOL_Ominus__class_Ominus(X34,X33,X3)
      | c_HOL_Oord__class_Oless(X34,X33,X3)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X3) ),
    file('<stdin>',cls_less__eqI_0) ).

fof(c_0_307_308,axiom,
    ! [X33,X6,X34,X7,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X7,X6,X3) != c_HOL_Ominus__class_Ominus(X34,X33,X3)
      | c_HOL_Oord__class_Oless(X7,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X34,X33,X3) ),
    file('<stdin>',cls_less__eqI_1) ).

fof(c_0_308_309,axiom,
    ! [X24,X42,X3] :
      ( ~ class_HOL_Oord(X3)
      | c_HOL_Oord__class_Oless(X42,X24,X3)
      | ~ hBOOL(c_in(X42,c_SetInterval_Oord__class_OlessThan(X24,X3),X3)) ),
    file('<stdin>',cls_lessThan__iff_0) ).

fof(c_0_309_310,axiom,
    ! [X29,X30,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X30,X3),c_SetInterval_Oord__class_OatLeastLessThan(X30,X29,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OlessThan(X29,X3)
      | ~ c_lessequals(X30,X29,X3) ),
    file('<stdin>',cls_ivl__disj__un_I8_J_0) ).

fof(c_0_310_311,axiom,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X7,X13,X3)
      | ~ c_lessequals(X7,c_Lattices_Olower__semilattice__class_Oinf(X13,X23,X3),X3) ),
    file('<stdin>',cls_le__infE_0) ).

fof(c_0_311_312,axiom,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X7,X23,X3)
      | ~ c_lessequals(X7,c_Lattices_Olower__semilattice__class_Oinf(X13,X23,X3),X3) ),
    file('<stdin>',cls_le__infE_1) ).

fof(c_0_312_313,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X7,X6,X3)
      | ~ c_lessequals(X7,c_Lattices_Olower__semilattice__class_Oinf(X6,X43,X3),X3) ),
    file('<stdin>',cls_le__inf__iff_0) ).

fof(c_0_313_314,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X7,X43,X3)
      | ~ c_lessequals(X7,c_Lattices_Olower__semilattice__class_Oinf(X6,X43,X3),X3) ),
    file('<stdin>',cls_le__inf__iff_1) ).

fof(c_0_314_315,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X6,X43,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X43,X3) ),
    file('<stdin>',cls_le__sup__iff_1) ).

fof(c_0_315_316,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X7,X43,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X43,X3) ),
    file('<stdin>',cls_le__sup__iff_0) ).

fof(c_0_316_317,axiom,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X23,X7,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X13,X23,X3),X7,X3) ),
    file('<stdin>',cls_le__supE_1) ).

fof(c_0_317_318,axiom,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X13,X7,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X13,X23,X3),X7,X3) ),
    file('<stdin>',cls_le__supE_0) ).

fof(c_0_318_319,axiom,
    ! [X11,X3] :
      ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X11),X3)
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    file('<stdin>',cls_finite__compl_0) ).

fof(c_0_319_320,axiom,
    ! [X10,X11,X3] :
      ( X11 = X10
      | ~ c_lessequals(c_Finite__Set_Ocard(X10,X3),c_Finite__Set_Ocard(X11,X3),tc_nat)
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | ~ c_Finite__Set_Ofinite(X10,X3) ),
    file('<stdin>',cls_card__seteq_0) ).

fof(c_0_320_321,axiom,
    ! [X8,X9,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | c_Finite__Set_Osetsum(X8,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_setsum__empty_0) ).

fof(c_0_321_322,axiom,
    ! [X23,X10,X11,X3] :
      ( c_lessequals(X11,c_Set_Oinsert(X23,X10,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__insertI2_0) ).

fof(c_0_322_323,axiom,
    ! [X10,X11,X3] :
      ( c_Finite__Set_Ofinite(X11,X3)
      | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(X10,X3) ),
    file('<stdin>',cls_finite__Diff2_0) ).

fof(c_0_323_324,axiom,
    ! [X6,X7,X11,X3] :
      ( hBOOL(hAPP(c_Set_Oinsert(X6,X11,X3),X7))
      | ~ hBOOL(hAPP(X11,X7)) ),
    file('<stdin>',cls_insert__code_2) ).

fof(c_0_324_325,axiom,
    ! [X3] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3),tc_nat)
      | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3) ),
    file('<stdin>',cls_finite__UNIV__card__ge__0_0) ).

fof(c_0_325_326,axiom,
    ! [X7,X11,X3] :
      ( c_Finite__Set_Ocard(c_Set_Oinsert(X7,X11,X3),X3) = c_Suc(c_Finite__Set_Ocard(X11,X3))
      | hBOOL(c_in(X7,X11,X3))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    file('<stdin>',cls_card__insert__if_1) ).

fof(c_0_326_327,axiom,
    ! [X25,X7,X3] :
      ( hBOOL(c_in(X7,X25,X3))
      | c_Finite__Set_Ocard(c_Set_Oinsert(X7,X25,X3),X3) = c_Suc(c_Finite__Set_Ocard(X25,X3))
      | c_Finite__Set_Ocard(X25,X3) = c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('<stdin>',cls_card__Suc__eq_4) ).

fof(c_0_327_328,axiom,
    ! [X48,X27,X3] :
      ( c_Finite__Set_Ofinite(X27,X3)
      | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X27,X48,tc_fun(X3,tc_bool)),X3) ),
    file('<stdin>',cls_finite__Un_0) ).

fof(c_0_328_329,axiom,
    ! [X48,X27,X3] :
      ( c_Finite__Set_Ofinite(X48,X3)
      | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X27,X48,tc_fun(X3,tc_bool)),X3) ),
    file('<stdin>',cls_finite__Un_1) ).

fof(c_0_329_330,axiom,
    ! [X8,X11,X9,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | c_Finite__Set_Osetsum(X8,X11,X9,X3) = c_HOL_Ozero__class_Ozero(X3)
      | c_Finite__Set_Ofinite(X11,X9) ),
    file('<stdin>',cls_setsum__def_1) ).

fof(c_0_330_331,axiom,
    ! [X8,X11,X9,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X9)
      | c_Finite__Set_Osetsum(X8,X11,X3,X9) = c_HOL_Ozero__class_Ozero(X9)
      | c_Finite__Set_Ofinite(X11,X3) ),
    file('<stdin>',cls_setsum__infinite_0) ).

fof(c_0_331_332,axiom,
    ! [X17,X8,X9] :
      ( ~ class_Lattices_Olattice(X9)
      | hAPP(c_Lattices_Oupper__semilattice__class_Osup(X8,X17,tc_fun(t_a,X9)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X8,v_x),hAPP(X17,v_x),X9) ),
    file('<stdin>',cls_sup__fun__eq_0) ).

fof(c_0_332_333,axiom,
    ! [X10,X11,X9] :
      ( ~ class_HOL_Ominus(X9)
      | hAPP(c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(t_a,X9)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(X11,v_x),hAPP(X10,v_x),X9) ),
    file('<stdin>',cls_fun__diff__def_0) ).

fof(c_0_333_334,axiom,
    ! [X17,X8,X9] :
      ( ~ class_Lattices_Olattice(X9)
      | hAPP(c_Lattices_Olower__semilattice__class_Oinf(X8,X17,tc_fun(t_a,X9)),v_x) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(X8,v_x),hAPP(X17,v_x),X9) ),
    file('<stdin>',cls_inf__fun__eq_0) ).

fof(c_0_334_335,axiom,
    ! [X11,X3] :
      ( c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X11),X3)
      | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    file('<stdin>',cls_finite__compl_1) ).

fof(c_0_335_336,axiom,
    ! [X21,X13,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Power_Opower__class_Opower(X13,X21,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X13,X3) ),
    file('<stdin>',cls_zero__le__power_0) ).

fof(c_0_336_337,axiom,
    ! [X21,X13,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Power_Opower__class_Opower(X13,X21,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X13,X3) ),
    file('<stdin>',cls_zero__less__power_0) ).

fof(c_0_337_338,axiom,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X13,X23,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3) ),
    file('<stdin>',cls_neg__le__iff__le_0) ).

fof(c_0_338_339,axiom,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X13,X23,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3) ),
    file('<stdin>',cls_neg__less__iff__less_0) ).

fof(c_0_339_340,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X7,X6,X3)
      | ~ c_lessequals(c_SetInterval_Oord__class_OlessThan(X7,X3),c_SetInterval_Oord__class_OlessThan(X6,X3),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_lessThan__subset__iff_0) ).

fof(c_0_340_341,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X7),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X6),X3) ),
    file('<stdin>',cls_compl__inf_0) ).

fof(c_0_341_342,axiom,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Lattices_Olower__semilattice__class_Oinf(X13,X23,X3)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),X3) ),
    file('<stdin>',cls_neg__inf__eq__sup_0) ).

fof(c_0_342_343,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3)) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X7),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X6),X3) ),
    file('<stdin>',cls_compl__sup_0) ).

fof(c_0_343_344,axiom,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Lattices_Oupper__semilattice__class_Osup(X13,X23,X3)) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),X3) ),
    file('<stdin>',cls_neg__sup__eq__inf_0) ).

fof(c_0_344_345,axiom,
    ! [X7,X11,X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | c_lessequals(X7,c_Complete__Lattice_OSup__class_OSup(X11,X3),X3)
      | ~ hBOOL(c_in(X7,X11,X3)) ),
    file('<stdin>',cls_Sup__upper_0) ).

fof(c_0_345_346,axiom,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ominus__class_Ominus(X13,X23,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X13,X23,X3) ),
    file('<stdin>',cls_le__iff__diff__le__0_0) ).

fof(c_0_346_347,axiom,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X13,X23,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X13,X23,X3) ),
    file('<stdin>',cls_less__iff__diff__less__0_0) ).

fof(c_0_347_348,axiom,
    ! [X11,X3] :
      ( c_Finite__Set_Ocard(X11,X3) != c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3)
      | X11 = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_card__eq__UNIV__imp__eq__UNIV_0) ).

fof(c_0_348_349,axiom,
    ! [X24,X42,X3] :
      ( ~ class_HOL_Oord(X3)
      | hBOOL(c_in(X42,c_SetInterval_Oord__class_OlessThan(X24,X3),X3))
      | ~ c_HOL_Oord__class_Oless(X42,X24,X3) ),
    file('<stdin>',cls_lessThan__iff_1) ).

fof(c_0_349_350,axiom,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X13,X23,X3),X7,X3)
      | ~ c_lessequals(X13,X7,X3) ),
    file('<stdin>',cls_le__infI1_0) ).

fof(c_0_350_351,axiom,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X13,X23,X3),X7,X3)
      | ~ c_lessequals(X23,X7,X3) ),
    file('<stdin>',cls_le__infI2_0) ).

fof(c_0_351_352,axiom,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X13,X23,X3),X7,X3)
      | ~ c_HOL_Oord__class_Oless(X23,X7,X3) ),
    file('<stdin>',cls_less__infI2_0) ).

fof(c_0_352_353,axiom,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X13,X23,X3),X7,X3)
      | ~ c_HOL_Oord__class_Oless(X13,X7,X3) ),
    file('<stdin>',cls_less__infI1_0) ).

fof(c_0_353_354,axiom,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_HOL_Oord__class_Oless(X7,c_Lattices_Oupper__semilattice__class_Osup(X13,X23,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X7,X13,X3) ),
    file('<stdin>',cls_less__supI1_0) ).

fof(c_0_354_355,axiom,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_HOL_Oord__class_Oless(X7,c_Lattices_Oupper__semilattice__class_Osup(X13,X23,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X7,X23,X3) ),
    file('<stdin>',cls_less__supI2_0) ).

fof(c_0_355_356,axiom,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X7,c_Lattices_Oupper__semilattice__class_Osup(X13,X23,X3),X3)
      | ~ c_lessequals(X7,X23,X3) ),
    file('<stdin>',cls_le__supI2_0) ).

fof(c_0_356_357,axiom,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X7,c_Lattices_Oupper__semilattice__class_Osup(X13,X23,X3),X3)
      | ~ c_lessequals(X7,X13,X3) ),
    file('<stdin>',cls_le__supI1_0) ).

fof(c_0_357_358,axiom,
    ! [X10,X11,X3] :
      ( c_lessequals(c_Finite__Set_Ocard(X11,X3),c_Finite__Set_Ocard(X10,X3),tc_nat)
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | ~ c_Finite__Set_Ofinite(X10,X3) ),
    file('<stdin>',cls_card__mono_0) ).

fof(c_0_358_359,axiom,
    ! [X10,X11,X3] :
      ( X11 = X10
      | ~ c_lessequals(X10,X11,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_equalityI_0) ).

fof(c_0_359_360,axiom,
    ! [X10,X11,X3] :
      ( X11 = X10
      | ~ c_lessequals(X10,X11,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_set__eq__subset_2) ).

fof(c_0_360_361,axiom,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X23,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3)
      | ~ c_lessequals(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),X3) ),
    file('<stdin>',cls_le__minus__iff_0) ).

fof(c_0_361_362,axiom,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),X3)
      | ~ c_lessequals(X23,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3) ),
    file('<stdin>',cls_le__minus__iff_1) ).

fof(c_0_362_363,axiom,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),X13,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X23,X3) ),
    file('<stdin>',cls_minus__le__iff_0) ).

fof(c_0_363_364,axiom,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X23,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),X13,X3) ),
    file('<stdin>',cls_minus__le__iff_1) ).

fof(c_0_364_365,axiom,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X23,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3)
      | ~ c_HOL_Oord__class_Oless(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),X3) ),
    file('<stdin>',cls_less__minus__iff_0) ).

fof(c_0_365_366,axiom,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),X3)
      | ~ c_HOL_Oord__class_Oless(X23,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3) ),
    file('<stdin>',cls_less__minus__iff_1) ).

fof(c_0_366_367,axiom,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),X13,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X23,X3) ),
    file('<stdin>',cls_minus__less__iff_0) ).

fof(c_0_367_368,axiom,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X23,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),X13,X3) ),
    file('<stdin>',cls_minus__less__iff_1) ).

fof(c_0_368_369,axiom,
    ! [X29,X30,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(X30,X3),c_SetInterval_Oord__class_OatLeastLessThan(X30,X29,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_ivl__disj__int_I2_J_0) ).

fof(c_0_369_370,axiom,
    ! [X10,X11,X3] :
      ( c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)) = X11 ),
    file('<stdin>',cls_Diff__triv_0) ).

fof(c_0_370_371,axiom,
    ! [X7,X17,X8,X9,X3] :
      ( ~ class_HOL_Oord(X9)
      | c_lessequals(hAPP(X8,X7),hAPP(X17,X7),X9)
      | ~ c_lessequals(X8,X17,tc_fun(X3,X9)) ),
    file('<stdin>',cls_le__funD_0) ).

fof(c_0_371_372,axiom,
    ! [X25,X7,X3] :
      ( c_Set_Oinsert(X7,X25,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | hBOOL(c_in(X7,X25,X3)) ),
    file('<stdin>',cls_comm__monoid__add_Ononempty__iff_2) ).

fof(c_0_372_373,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X7,X43,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X43,X3)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X3) ),
    file('<stdin>',cls_order__less__trans_0) ).

fof(c_0_373_374,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X43,X7,X3)
      | ~ c_HOL_Oord__class_Oless(X43,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X7,X3) ),
    file('<stdin>',cls_xt1_I10_J_0) ).

fof(c_0_374_375,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X43,X7,X3)
      | ~ c_lessequals(X43,X6,X3)
      | ~ c_lessequals(X6,X7,X3) ),
    file('<stdin>',cls_xt1_I6_J_0) ).

fof(c_0_375_376,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X43,X7,X3)
      | ~ c_lessequals(X43,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X7,X3) ),
    file('<stdin>',cls_xt1_I7_J_0) ).

fof(c_0_376_377,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X43,X7,X3)
      | ~ c_HOL_Oord__class_Oless(X43,X6,X3)
      | ~ c_lessequals(X6,X7,X3) ),
    file('<stdin>',cls_xt1_I8_J_0) ).

fof(c_0_377_378,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X7,X43,X3)
      | ~ c_lessequals(X6,X43,X3)
      | ~ c_lessequals(X7,X6,X3) ),
    file('<stdin>',cls_order__trans_0) ).

fof(c_0_378_379,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X7,X43,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X43,X3)
      | ~ c_lessequals(X7,X6,X3) ),
    file('<stdin>',cls_order__le__less__trans_0) ).

fof(c_0_379_380,axiom,
    ! [X43,X6,X7,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X7,X43,X3)
      | ~ c_lessequals(X6,X43,X3)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X3) ),
    file('<stdin>',cls_order__less__le__trans_0) ).

fof(c_0_380_381,axiom,
    ! [X13,X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = X13 ),
    file('<stdin>',cls_Sup__singleton_0) ).

fof(c_0_381_382,axiom,
    ! [X11,X3] :
      ( X11 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__empty_0) ).

fof(c_0_382_383,axiom,
    ! [X13,X11,X3] :
      ( c_Set_Oinsert(X13,X11,X3) = X11
      | ~ hBOOL(c_in(X13,X11,X3)) ),
    file('<stdin>',cls_insert__absorb_0) ).

fof(c_0_383_384,axiom,
    ! [X21,X28,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_lessequals(X28,X21,tc_nat)
      | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X28,X3),c_Nat_Osemiring__1__class_Oof__nat(X21,X3),X3) ),
    file('<stdin>',cls_of__nat__le__iff_0) ).

fof(c_0_384_385,axiom,
    ! [X21,X28,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(X28,X21,tc_nat)
      | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X28,X3),c_Nat_Osemiring__1__class_Oof__nat(X21,X3),X3) ),
    file('<stdin>',cls_of__nat__less__iff_0) ).

fof(c_0_385_386,axiom,
    ! [X24,X46,X42] :
      ( c_HOL_Oord__class_Oless(c_Suc(X42),X24,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X46,X24,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X42,X46,tc_nat) ),
    file('<stdin>',cls_less__trans__Suc_0) ).

fof(c_0_386_387,axiom,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3)
      | ~ c_lessequals(X13,X23,X3) ),
    file('<stdin>',cls_le__imp__neg__le_0) ).

fof(c_0_387_388,axiom,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3)
      | ~ c_HOL_Oord__class_Oless(X13,X23,X3) ),
    file('<stdin>',cls_neg__less__iff__less_1) ).

fof(c_0_388_389,axiom,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X13,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_neg__less__0__iff__less_0) ).

fof(c_0_389_390,axiom,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X13,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3) ),
    file('<stdin>',cls_neg__0__le__iff__le_0) ).

fof(c_0_390_391,axiom,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X13,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_neg__le__0__iff__le_0) ).

fof(c_0_391_392,axiom,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X13,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3) ),
    file('<stdin>',cls_neg__0__less__iff__less_0) ).

fof(c_0_392_393,axiom,
    ! [X13,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13)
      | ~ c_HOL_Oord__class_Oless(X13,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_sup__eq__if_0) ).

fof(c_0_393_394,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(c_SetInterval_Oord__class_OlessThan(X7,X3),c_SetInterval_Oord__class_OlessThan(X6,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X7,X6,X3) ),
    file('<stdin>',cls_lessThan__subset__iff_1) ).

fof(c_0_394_395,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) ),
    file('<stdin>',cls_sup__left__idem_0) ).

fof(c_0_395_396,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) ),
    file('<stdin>',cls_inf__sup__aci_I8_J_0) ).

fof(c_0_396_397,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3) ),
    file('<stdin>',cls_inf__sup__aci_I4_J_0) ).

fof(c_0_397_398,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3) ),
    file('<stdin>',cls_inf__left__idem_0) ).

fof(c_0_398_399,axiom,
    ! [X23,X13,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(X13,X23,X3)
      | ~ c_HOL_Oord__class_Oless(X13,X23,X3) ),
    file('<stdin>',cls_atLeastLessThan__empty__iff2_0) ).

fof(c_0_399_400,axiom,
    ! [X23,X13,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_SetInterval_Oord__class_OatLeastLessThan(X13,X23,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X13,X23,X3) ),
    file('<stdin>',cls_atLeastLessThan__empty__iff_0) ).

fof(c_0_400_401,axiom,
    ! [X24,X46,X42] :
      ( c_lessequals(X42,X24,tc_nat)
      | ~ c_lessequals(X46,X24,tc_nat)
      | ~ c_lessequals(X42,X46,tc_nat) ),
    file('<stdin>',cls_le__trans_0) ).

fof(c_0_401_402,axiom,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X13,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X13,X3) ),
    file('<stdin>',cls_neg__less__eq__nonneg_0) ).

fof(c_0_402_403,axiom,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_lessequals(X13,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3) ),
    file('<stdin>',cls_less__eq__neg__nonpos_0) ).

fof(c_0_403_404,axiom,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X13,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X13,X3) ),
    file('<stdin>',cls_minus__le__self__iff_0) ).

fof(c_0_404_405,axiom,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(X13,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3) ),
    file('<stdin>',cls_le__minus__self__iff_0) ).

fof(c_0_405_406,axiom,
    ! [X13,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X13,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3) ),
    file('<stdin>',cls_less__minus__self__iff_0) ).

fof(c_0_406_407,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) != c_Orderings_Otop__class_Otop(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3) != c_Orderings_Obot__class_Obot(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X7) = X6 ),
    file('<stdin>',cls_compl__unique_0) ).

fof(c_0_407_408,axiom,
    ! [X10,X11,X3] :
      ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(X11,X3)
      | ~ c_Finite__Set_Ofinite(X10,X3) ),
    file('<stdin>',cls_finite__Diff2_1) ).

fof(c_0_408_409,axiom,
    ! [X48,X27,X3] :
      ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X27,X48,tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(X48,X3)
      | ~ c_Finite__Set_Ofinite(X27,X3) ),
    file('<stdin>',cls_finite__Un_2) ).

fof(c_0_409_410,axiom,
    ! [X48,X27,X3] :
      ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X27,X48,tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(X48,X3)
      | ~ c_Finite__Set_Ofinite(X27,X3) ),
    file('<stdin>',cls_finite__UnI_0) ).

fof(c_0_410_411,axiom,
    ! [X10,X11,X3] :
      ( hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X11) != hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X10)
      | X11 = X10 ),
    file('<stdin>',cls_Compl__eq__Compl__iff_0) ).

fof(c_0_411_412,axiom,
    ! [X13,X11,X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X13,X11,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X13,c_Complete__Lattice_OSup__class_OSup(X11,X3),X3) ),
    file('<stdin>',cls_Sup__insert_0) ).

fof(c_0_412_413,axiom,
    ! [X7,X47,X3] :
      ( hBOOL(hAPP(X47,X7))
      | ~ hBOOL(c_in(X7,X47,X3)) ),
    file('<stdin>',cls_mem__def_0) ).

fof(c_0_413_414,axiom,
    ! [X13,X11,X3] :
      ( c_Finite__Set_Ofinite(X11,X3)
      | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X13,X11,X3),X3) ),
    file('<stdin>',cls_finite__insert_0) ).

fof(c_0_414_415,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X7,X6,X3)
      | c_lessequals(X6,X7,X3)
      | ~ c_lessequals(X7,X6,X3) ),
    file('<stdin>',cls_less__le__not__le_2) ).

fof(c_0_415_416,axiom,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X13,X3) ),
    file('<stdin>',cls_neg__less__0__iff__less_1) ).

fof(c_0_416_417,axiom,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3)
      | ~ c_lessequals(X13,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_neg__0__le__iff__le_1) ).

fof(c_0_417_418,axiom,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X13,X3) ),
    file('<stdin>',cls_neg__le__0__iff__le_1) ).

fof(c_0_418_419,axiom,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3)
      | ~ c_HOL_Oord__class_Oless(X13,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_neg__0__less__iff__less_1) ).

fof(c_0_419_420,axiom,
    ! [X10,X11,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)) != X10
      | c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_subset__Un__eq_1) ).

fof(c_0_420_421,axiom,
    ! [X10,X11,X3] :
      ( c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)) = X11
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Int__absorb2_0) ).

fof(c_0_421_422,axiom,
    ! [X10,X11,X3] :
      ( c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)) = X10
      | ~ c_lessequals(X10,X11,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Int__absorb1_0) ).

fof(c_0_422_423,axiom,
    ! [X10,X11,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)) = X10
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__absorb1_0) ).

fof(c_0_423_424,axiom,
    ! [X10,X11,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)) = X11
      | ~ c_lessequals(X10,X11,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__absorb2_0) ).

fof(c_0_424_425,axiom,
    ! [X7,X44,X22,X3] :
      ( hBOOL(hAPP(X44,X7))
      | ~ hBOOL(hAPP(X22,X7))
      | ~ c_lessequals(X22,X44,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_predicate1D_0) ).

fof(c_0_425_426,axiom,
    ! [X7,X44,X22,X3] :
      ( hBOOL(hAPP(X44,X7))
      | ~ c_lessequals(X22,X44,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(X22,X7)) ),
    file('<stdin>',cls_rev__predicate1D_0) ).

fof(c_0_426_427,axiom,
    ! [X21,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X21,tc_nat)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Nat_Osemiring__1__class_Oof__nat(X21,X3),X3) ),
    file('<stdin>',cls_of__nat__0__less__iff_0) ).

fof(c_0_427_428,axiom,
    ! [X21,X28,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X28,X3),c_Nat_Osemiring__1__class_Oof__nat(X21,X3),X3)
      | ~ c_lessequals(X28,X21,tc_nat) ),
    file('<stdin>',cls_of__nat__le__iff_1) ).

fof(c_0_428_429,axiom,
    ! [X21,X28,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X28,X3),c_Nat_Osemiring__1__class_Oof__nat(X21,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X28,X21,tc_nat) ),
    file('<stdin>',cls_of__nat__less__iff_1) ).

fof(c_0_429_430,axiom,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X13,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X13,X3) ),
    file('<stdin>',cls_neg__less__eq__nonneg_1) ).

fof(c_0_430_431,axiom,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_lessequals(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3)
      | ~ c_lessequals(X13,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_less__eq__neg__nonpos_1) ).

fof(c_0_431_432,axiom,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X13,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X13,X3) ),
    file('<stdin>',cls_minus__le__self__iff_1) ).

fof(c_0_432_433,axiom,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3)
      | ~ c_lessequals(X13,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_le__minus__self__iff_1) ).

fof(c_0_433_434,axiom,
    ! [X13,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3)
      | ~ c_HOL_Oord__class_Oless(X13,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_less__minus__self__iff_1) ).

fof(c_0_434_435,axiom,
    ! [X11,X9] :
      ( ~ class_HOL_Ouminus(X9)
      | hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(t_a,X9)),X11),v_x) = hAPP(c_HOL_Ouminus__class_Ouminus(X9),hAPP(X11,v_x)) ),
    file('<stdin>',cls_fun__Compl__def_0) ).

fof(c_0_435_436,axiom,
    ! [X10,X11,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X10 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__empty_1) ).

fof(c_0_436_437,axiom,
    ! [X10,X11,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X11 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_Un__empty_0) ).

fof(c_0_437_438,axiom,
    ! [X21,X28,X22] :
      ( hBOOL(hAPP(hAPP(X22,X21),X28))
      | c_HOL_Oord__class_Oless(X21,X28,tc_nat)
      | X28 = X21
      | c_HOL_Oord__class_Oless(X28,X21,tc_nat) ),
    file('<stdin>',cls_nat__less__cases_0) ).

fof(c_0_438_439,axiom,
    ! [X10,X11,X3] :
      ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    file('<stdin>',cls_finite__Diff_0) ).

fof(c_0_439_440,axiom,
    ! [X48,X27,X3] :
      ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X27,X48,tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(X48,X3) ),
    file('<stdin>',cls_finite__Int_1) ).

fof(c_0_440_441,axiom,
    ! [X48,X27,X3] :
      ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X27,X48,tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(X27,X3) ),
    file('<stdin>',cls_finite__Int_0) ).

fof(c_0_441_442,axiom,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_HOL_Ominus__class_Ominus(X13,X23,X3)) = c_HOL_Ominus__class_Ominus(X23,X13,X3) ),
    file('<stdin>',cls_minus__diff__eq_0) ).

fof(c_0_442_443,axiom,
    ! [X21,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Nat_Osemiring__1__class_Oof__nat(X21,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X21,tc_nat) ),
    file('<stdin>',cls_of__nat__0__less__iff_1) ).

fof(c_0_443_444,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X7 = X6
      | ~ c_lessequals(X6,X7,X3)
      | ~ c_lessequals(X7,X6,X3) ),
    file('<stdin>',cls_order__eq__iff_2) ).

fof(c_0_444_445,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X7 = X6
      | ~ c_lessequals(X6,X7,X3)
      | ~ c_lessequals(X7,X6,X3) ),
    file('<stdin>',cls_order__antisym_0) ).

fof(c_0_445_446,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X7 = X6
      | ~ c_lessequals(X7,X6,X3)
      | ~ c_lessequals(X6,X7,X3) ),
    file('<stdin>',cls_order__antisym__conv_0) ).

fof(c_0_446_447,axiom,
    ! [X6,X25,X7,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X25,X6,X3) != c_HOL_Ominus__class_Ominus(X7,X7,X3)
      | X25 = X6 ),
    file('<stdin>',cls_eq__eqI_1) ).

fof(c_0_447_448,axiom,
    ! [X33,X34,X7,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X7,X7,X3) != c_HOL_Ominus__class_Ominus(X34,X33,X3)
      | X34 = X33 ),
    file('<stdin>',cls_eq__eqI_0) ).

fof(c_0_448_449,axiom,
    ! [X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_lessequals(X7,X7,X3)
      | ~ c_HOL_Oord__class_Oless(X7,X7,X3) ),
    file('<stdin>',cls_linorder__antisym__conv2_1) ).

fof(c_0_449_450,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X3)
      | ~ c_lessequals(X6,X7,X3) ),
    file('<stdin>',cls_linorder__not__less_1) ).

fof(c_0_450_451,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_lessequals(X7,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X7,X3) ),
    file('<stdin>',cls_linorder__not__le_1) ).

fof(c_0_451_452,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_lessequals(X6,X7,X3)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X3) ),
    file('<stdin>',cls_less__le__not__le_1) ).

fof(c_0_452_453,axiom,
    ! [X23,X13,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | ~ c_HOL_Oord__class_Oless(X13,X23,X3)
      | ~ c_HOL_Oord__class_Oless(X23,X13,X3) ),
    file('<stdin>',cls_xt1_I9_J_0) ).

fof(c_0_453_454,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X7,X3) ),
    file('<stdin>',cls_not__less__iff__gr__or__eq_1) ).

fof(c_0_454_455,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X6,X7,X3)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X3) ),
    file('<stdin>',cls_order__less__asym_0) ).

fof(c_0_455_456,axiom,
    ! [X23,X13,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X23,X13,X3)
      | ~ c_HOL_Oord__class_Oless(X13,X23,X3) ),
    file('<stdin>',cls_order__less__asym_H_0) ).

fof(c_0_456_457,axiom,
    ! [X21,X28] :
      ( X21 = X28
      | ~ c_HOL_Oord__class_Oless(X21,c_Suc(X28),tc_nat)
      | ~ c_lessequals(X28,X21,tc_nat) ),
    file('<stdin>',cls_le__less__Suc__eq_0) ).

fof(c_0_457_458,axiom,
    ! [X21,X28] :
      ( ~ c_lessequals(X28,X21,tc_nat)
      | ~ c_lessequals(c_Suc(X21),X28,tc_nat) ),
    file('<stdin>',cls_not__less__eq__eq_1) ).

fof(c_0_458_459,axiom,
    ! [X21,X28] :
      ( ~ c_HOL_Oord__class_Oless(X28,X21,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X21,c_Suc(X28),tc_nat) ),
    file('<stdin>',cls_not__less__eq_1) ).

fof(c_0_459_460,axiom,
    ! [X23,X13,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_SetInterval_Oord__class_OatLeastLessThan(X13,X23,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X23,X13,X3) ),
    file('<stdin>',cls_atLeastLessThan__empty_0) ).

fof(c_0_460_461,axiom,
    ! [X21,X28] :
      ( X28 = X21
      | ~ c_lessequals(X21,X28,tc_nat)
      | ~ c_lessequals(X28,X21,tc_nat) ),
    file('<stdin>',cls_le__antisym_0) ).

fof(c_0_461_462,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3),X3) = X7 ),
    file('<stdin>',cls_sup__inf__absorb_0) ).

fof(c_0_462_463,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X3) = X7 ),
    file('<stdin>',cls_inf__sup__absorb_0) ).

fof(c_0_463_464,axiom,
    ! [X13,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3) = X13
      | c_HOL_Oord__class_Oless(X13,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_sup__eq__if_1) ).

fof(c_0_464_465,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X3) ),
    file('<stdin>',cls_sup__ge1_0) ).

fof(c_0_465_466,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X6,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X3) ),
    file('<stdin>',cls_sup__ge2_0) ).

fof(c_0_466_467,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(X6,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X3) ),
    file('<stdin>',cls_inf__sup__ord_I4_J_0) ).

fof(c_0_467_468,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X3) ),
    file('<stdin>',cls_inf__sup__ord_I3_J_0) ).

fof(c_0_468_469,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3),X7,X3) ),
    file('<stdin>',cls_inf__sup__ord_I1_J_0) ).

fof(c_0_469_470,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3),X6,X3) ),
    file('<stdin>',cls_inf__sup__ord_I2_J_0) ).

fof(c_0_470_471,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3),X6,X3) ),
    file('<stdin>',cls_inf__le2_0) ).

fof(c_0_471_472,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3),X7,X3) ),
    file('<stdin>',cls_inf__le1_0) ).

fof(c_0_472_473,axiom,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3) != c_HOL_Ozero__class_Ozero(X3)
      | X13 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_inf__0__imp__0_0) ).

fof(c_0_473_474,axiom,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3) != c_HOL_Ozero__class_Ozero(X3)
      | X13 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_sup__0__imp__0_0) ).

fof(c_0_474_475,axiom,
    ! [X10,X11,X3] :
      ( c_Finite__Set_Ofinite(X11,X3)
      | ~ c_Finite__Set_Ofinite(X10,X3)
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_finite__subset_0) ).

fof(c_0_475_476,axiom,
    ! [X10,X11,X3] :
      ( c_Finite__Set_Ofinite(X11,X3)
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | ~ c_Finite__Set_Ofinite(X10,X3) ),
    file('<stdin>',cls_rev__finite__subset_0) ).

fof(c_0_476_477,axiom,
    ! [X7,X47,X3] :
      ( hBOOL(c_in(X7,X47,X3))
      | ~ hBOOL(hAPP(X47,X7)) ),
    file('<stdin>',cls_mem__def_1) ).

fof(c_0_477_478,axiom,
    ! [X21,X28] :
      ( c_HOL_Oord__class_Oless(X28,X21,tc_nat)
      | ~ c_HOL_Oord__class_Oless(c_Suc(X28),c_Suc(X21),tc_nat) ),
    file('<stdin>',cls_Suc__less__eq_0) ).

fof(c_0_478_479,axiom,
    ! [X21,X28] :
      ( c_lessequals(X21,X28,tc_nat)
      | ~ c_lessequals(c_Suc(X21),c_Suc(X28),tc_nat) ),
    file('<stdin>',cls_Suc__le__mono_0) ).

fof(c_0_479_480,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_HOL_Ominus__class_Ominus(X7,X6,X3) = c_Lattices_Olower__semilattice__class_Oinf(X7,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X6),X3) ),
    file('<stdin>',cls_diff__eq_0) ).

fof(c_0_480_481,axiom,
    ! [X21,X28] :
      ( X28 = c_Suc(X21)
      | c_lessequals(X28,X21,tc_nat)
      | ~ c_lessequals(X28,c_Suc(X21),tc_nat) ),
    file('<stdin>',cls_le__SucE_0) ).

fof(c_0_481_482,axiom,
    ! [X23,X13,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X23,X13,X3)
      | X13 = X23
      | ~ c_lessequals(X23,X13,X3) ),
    file('<stdin>',cls_xt1_I11_J_0) ).

fof(c_0_482_483,axiom,
    ! [X23,X13,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X23,X13,X3)
      | ~ c_lessequals(X23,X13,X3)
      | X13 = X23 ),
    file('<stdin>',cls_xt1_I12_J_0) ).

fof(c_0_483_484,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X7 = X6
      | c_HOL_Oord__class_Oless(X7,X6,X3)
      | ~ c_lessequals(X7,X6,X3) ),
    file('<stdin>',cls_order__le__less_0) ).

fof(c_0_484_485,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X7,X6,X3)
      | X7 = X6
      | ~ c_lessequals(X7,X6,X3) ),
    file('<stdin>',cls_order__less__le_2) ).

fof(c_0_485_486,axiom,
    ! [X23,X13,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X13,X23,X3)
      | X13 = X23
      | ~ c_lessequals(X13,X23,X3) ),
    file('<stdin>',cls_order__le__neq__trans_0) ).

fof(c_0_486_487,axiom,
    ! [X23,X13,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X13,X23,X3)
      | ~ c_lessequals(X13,X23,X3)
      | X13 = X23 ),
    file('<stdin>',cls_order__neq__le__trans_0) ).

fof(c_0_487_488,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X7 = X6
      | ~ c_lessequals(X7,X6,X3)
      | c_HOL_Oord__class_Oless(X7,X6,X3) ),
    file('<stdin>',cls_linorder__antisym__conv1_0) ).

fof(c_0_488_489,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X7 = X6
      | c_HOL_Oord__class_Oless(X7,X6,X3)
      | ~ c_lessequals(X7,X6,X3) ),
    file('<stdin>',cls_linorder__antisym__conv2_0) ).

fof(c_0_489_490,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3) != X7
      | c_lessequals(X7,X6,X3) ),
    file('<stdin>',cls_le__iff__inf_1) ).

fof(c_0_490_491,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) != X6
      | c_lessequals(X7,X6,X3) ),
    file('<stdin>',cls_le__iff__sup_1) ).

fof(c_0_491_492,axiom,
    ! [X7,X21] :
      ( c_HOL_Oord__class_Oless(c_Suc(X7),c_Suc(X21),tc_nat)
      | ~ c_HOL_Oord__class_Oless(X7,X21,tc_nat) ),
    file('<stdin>',cls_less__Suc__eq__0__disj_3) ).

fof(c_0_492_493,axiom,
    ! [X21,X28] :
      ( c_HOL_Oord__class_Oless(c_Suc(X28),c_Suc(X21),tc_nat)
      | ~ c_HOL_Oord__class_Oless(X28,X21,tc_nat) ),
    file('<stdin>',cls_Suc__mono_0) ).

fof(c_0_493_494,axiom,
    ! [X21,X28] :
      ( c_lessequals(c_Suc(X21),c_Suc(X28),tc_nat)
      | ~ c_lessequals(X21,X28,tc_nat) ),
    file('<stdin>',cls_Suc__le__mono_1) ).

fof(c_0_494_495,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3) = X7
      | ~ c_lessequals(X7,X6,X3) ),
    file('<stdin>',cls_le__iff__inf_0) ).

fof(c_0_495_496,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3) = X6
      | ~ c_lessequals(X6,X7,X3) ),
    file('<stdin>',cls_inf__absorb2_0) ).

fof(c_0_496_497,axiom,
    ! [X21,X28] :
      ( X28 = X21
      | c_HOL_Oord__class_Oless(X28,X21,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X28,c_Suc(X21),tc_nat) ),
    file('<stdin>',cls_less__SucE_0) ).

fof(c_0_497_498,axiom,
    ! [X21,X28] :
      ( X28 = X21
      | ~ c_HOL_Oord__class_Oless(X21,c_Suc(X28),tc_nat)
      | c_HOL_Oord__class_Oless(X21,X28,tc_nat) ),
    file('<stdin>',cls_less__antisym_0) ).

fof(c_0_498_499,axiom,
    ! [X21,X28] :
      ( X21 = X28
      | ~ c_HOL_Oord__class_Oless(X21,c_Suc(X28),tc_nat)
      | c_HOL_Oord__class_Oless(X21,X28,tc_nat) ),
    file('<stdin>',cls_not__less__less__Suc__eq_0) ).

fof(c_0_499_500,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) = X7
      | ~ c_lessequals(X6,X7,X3) ),
    file('<stdin>',cls_sup__absorb1_0) ).

fof(c_0_500_501,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) = X6
      | ~ c_lessequals(X7,X6,X3) ),
    file('<stdin>',cls_le__iff__sup_0) ).

fof(c_0_501_502,axiom,
    ! [X21,X28] :
      ( c_HOL_Oord__class_Oless(c_Suc(X28),X21,tc_nat)
      | c_Suc(X28) = X21
      | ~ c_HOL_Oord__class_Oless(X28,X21,tc_nat) ),
    file('<stdin>',cls_Suc__lessI_0) ).

fof(c_0_502_503,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X7,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X3) ),
    file('<stdin>',cls_order__le__less_1) ).

fof(c_0_503_504,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X7,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X3) ),
    file('<stdin>',cls_order__less__imp__le_0) ).

fof(c_0_504_505,axiom,
    ! [X21,X28] :
      ( c_HOL_Oord__class_Oless(X28,X21,tc_nat)
      | ~ c_lessequals(c_Suc(X28),X21,tc_nat) ),
    file('<stdin>',cls_Suc__le__eq_0) ).

fof(c_0_505_506,axiom,
    ! [X21,X28] :
      ( c_HOL_Oord__class_Oless(X21,X28,tc_nat)
      | ~ c_lessequals(c_Suc(X21),X28,tc_nat) ),
    file('<stdin>',cls_less__eq__Suc__le_1) ).

fof(c_0_506_507,axiom,
    ! [X21,X28] :
      ( c_lessequals(X28,X21,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X28,c_Suc(X21),tc_nat) ),
    file('<stdin>',cls_less__Suc__eq__le_0) ).

fof(c_0_507_508,axiom,
    ! [X21,X28] :
      ( c_lessequals(X28,X21,tc_nat)
      | ~ c_lessequals(c_Suc(X28),X21,tc_nat) ),
    file('<stdin>',cls_Suc__leD_0) ).

fof(c_0_508_509,axiom,
    ! [X21,X28] :
      ( c_HOL_Oord__class_Oless(X28,X21,tc_nat)
      | ~ c_HOL_Oord__class_Oless(c_Suc(X28),X21,tc_nat) ),
    file('<stdin>',cls_Suc__lessD_0) ).

fof(c_0_509_510,axiom,
    ! [X13,X11,X3] :
      ( c_Finite__Set_Ofinite(c_Set_Oinsert(X13,X11,X3),X3)
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    file('<stdin>',cls_finite__insert_1) ).

fof(c_0_510_511,axiom,
    ! [X11,X3] :
      ( c_Finite__Set_Ofinite(X11,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X11,X3),tc_nat) ),
    file('<stdin>',cls_card__gt__0__iff_1) ).

fof(c_0_511_512,axiom,
    ! [X28,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X28,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_of__nat__less__0__iff_0) ).

fof(c_0_512_513,axiom,
    ! [X23,X13,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X13,X23,X3)
      | c_HOL_Oord__class_Oless(X13,X23,X3) ),
    file('<stdin>',cls_atLeastLessThan__empty__iff2_1) ).

fof(c_0_513_514,axiom,
    ! [X23,X13,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_SetInterval_Oord__class_OatLeastLessThan(X13,X23,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | c_HOL_Oord__class_Oless(X13,X23,X3) ),
    file('<stdin>',cls_atLeastLessThan__empty__iff_1) ).

fof(c_0_514_515,axiom,
    ! [X21,X28] :
      ( c_HOL_Oord__class_Oless(X28,c_Suc(X21),tc_nat)
      | ~ c_lessequals(X28,X21,tc_nat) ),
    file('<stdin>',cls_less__Suc__eq__le_1) ).

fof(c_0_515_516,axiom,
    ! [X21,X28] :
      ( c_lessequals(c_Suc(X28),X21,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X28,X21,tc_nat) ),
    file('<stdin>',cls_Suc__leI_0) ).

fof(c_0_516_517,axiom,
    ! [X21,X28] :
      ( c_lessequals(c_Suc(X21),X28,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X21,X28,tc_nat) ),
    file('<stdin>',cls_less__eq__Suc__le_0) ).

fof(c_0_517_518,axiom,
    ! [X7] :
      ( ~ c_lessequals(X7,X7,tc_nat)
      | c_HOL_Oord__class_Oless(X7,c_Suc(X7),tc_nat) ),
    file('<stdin>',cls_le__less__Suc__eq_1) ).

fof(c_0_518_519,axiom,
    ! [X21,X28] :
      ( c_lessequals(X28,c_Suc(X21),tc_nat)
      | ~ c_lessequals(X28,X21,tc_nat) ),
    file('<stdin>',cls_le__SucI_0) ).

fof(c_0_519_520,axiom,
    ! [X21,X28] :
      ( c_HOL_Oord__class_Oless(X28,c_Suc(X21),tc_nat)
      | ~ c_HOL_Oord__class_Oless(X28,X21,tc_nat) ),
    file('<stdin>',cls_less__SucI_0) ).

fof(c_0_520_521,axiom,
    ! [X8,X9,X3] :
      ( c_Fun_Osurj(X8,X3,X9)
      | ~ c_Fun_Obij(X8,X3,X9) ),
    file('<stdin>',cls_bij__def_1) ).

fof(c_0_521_522,axiom,
    ! [X21,X28] :
      ( c_HOL_Oord__class_Oless(X28,X21,tc_nat)
      | X28 = X21
      | ~ c_lessequals(X28,X21,tc_nat) ),
    file('<stdin>',cls_nat__less__le_2) ).

fof(c_0_522_523,axiom,
    ! [X21,X28] :
      ( X28 = X21
      | c_HOL_Oord__class_Oless(X28,X21,tc_nat)
      | ~ c_lessequals(X28,X21,tc_nat) ),
    file('<stdin>',cls_le__eq__less__or__eq_0) ).

fof(c_0_523_524,axiom,
    ! [X21,X28] :
      ( c_HOL_Oord__class_Oless(X28,X21,tc_nat)
      | X28 = X21
      | ~ c_lessequals(X28,X21,tc_nat) ),
    file('<stdin>',cls_le__neq__implies__less_0) ).

fof(c_0_524_525,axiom,
    ! [X6,X7] :
      ( c_lessequals(X7,X6,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X7,X6,tc_nat) ),
    file('<stdin>',cls_termination__basic__simps_I5_J_0) ).

fof(c_0_525_526,axiom,
    ! [X21,X28] :
      ( c_lessequals(X28,X21,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X28,X21,tc_nat) ),
    file('<stdin>',cls_nat__less__le_0) ).

fof(c_0_526_527,axiom,
    ! [X21,X28] :
      ( c_SetInterval_Oord__class_OatLeastLessThan(X28,c_Suc(X21),tc_nat) = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))
      | c_lessequals(X28,X21,tc_nat) ),
    file('<stdin>',cls_atLeastLessThanSuc_1) ).

fof(c_0_527_528,axiom,
    ! [X11,X3] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X11,X3),tc_nat)
      | ~ c_Finite__Set_Ofinite(X11,X3)
      | X11 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_card__gt__0__iff_2) ).

fof(c_0_528_529,axiom,
    ! [X21,X13,X3] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X3)
      | ~ class_Ring__and__Field_Ono__zero__divisors(X3)
      | ~ class_Ring__and__Field_Omult__zero(X3)
      | ~ class_Power_Opower(X3)
      | c_Power_Opower__class_Opower(X13,X21,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X13 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_power__eq__0__iff_0) ).

fof(c_0_529_530,axiom,
    ! [X13,X3] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X3)
      | ~ class_Ring__and__Field_Ono__zero__divisors(X3)
      | ~ class_Ring__and__Field_Omult__zero(X3)
      | ~ class_Power_Opower(X3)
      | c_Power_Opower__class_Opower(X13,c_HOL_Ozero__class_Ozero(tc_nat),X3) != c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_power__eq__0__iff_1) ).

fof(c_0_530_531,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X6,X7,X3)
      | c_HOL_Oord__class_Oless(X7,X6,X3)
      | X7 = X6 ),
    file('<stdin>',cls_linorder__neqE__ordered__idom_0) ).

fof(c_0_531_532,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X7 = X6
      | c_HOL_Oord__class_Oless(X6,X7,X3)
      | c_HOL_Oord__class_Oless(X7,X6,X3) ),
    file('<stdin>',cls_not__less__iff__gr__or__eq_0) ).

fof(c_0_532_533,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X6,X7,X3)
      | c_HOL_Oord__class_Oless(X7,X6,X3)
      | X7 = X6 ),
    file('<stdin>',cls_linorder__neqE_0) ).

fof(c_0_533_534,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X6,X7,X3)
      | X7 = X6
      | c_HOL_Oord__class_Oless(X7,X6,X3) ),
    file('<stdin>',cls_linorder__less__linear_0) ).

fof(c_0_534_535,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X7 = X6
      | c_HOL_Oord__class_Oless(X7,X6,X3)
      | c_HOL_Oord__class_Oless(X6,X7,X3) ),
    file('<stdin>',cls_linorder__antisym__conv3_0) ).

fof(c_0_535_536,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X7,X6,X3)
      | c_lessequals(X6,X7,X3) ),
    file('<stdin>',cls_not__leE_0) ).

fof(c_0_536_537,axiom,
    ! [X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X7,X7,X3)
      | c_lessequals(X7,X7,X3) ),
    file('<stdin>',cls_linorder__antisym__conv1_1) ).

fof(c_0_537_538,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X6,X7,X3)
      | c_HOL_Oord__class_Oless(X7,X6,X3) ),
    file('<stdin>',cls_linorder__not__less_0) ).

fof(c_0_538_539,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X6,X7,X3)
      | c_lessequals(X7,X6,X3) ),
    file('<stdin>',cls_linorder__not__le_0) ).

fof(c_0_539_540,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X6,X7,X3)
      | c_lessequals(X7,X6,X3) ),
    file('<stdin>',cls_linorder__linear_0) ).

fof(c_0_540_541,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3) = c_Lattices_Olower__semilattice__class_Oinf(X6,X7,X3) ),
    file('<stdin>',cls_inf__commute_0) ).

fof(c_0_541_542,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3) = c_Lattices_Olower__semilattice__class_Oinf(X6,X7,X3) ),
    file('<stdin>',cls_inf__sup__aci_I1_J_0) ).

fof(c_0_542_543,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) = c_Lattices_Oupper__semilattice__class_Osup(X6,X7,X3) ),
    file('<stdin>',cls_sup__commute_0) ).

fof(c_0_543_544,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) = c_Lattices_Oupper__semilattice__class_Osup(X6,X7,X3) ),
    file('<stdin>',cls_inf__sup__aci_I5_J_0) ).

fof(c_0_544_545,axiom,
    ! [X21,X28] :
      ( c_lessequals(c_Suc(X21),X28,tc_nat)
      | c_lessequals(X28,X21,tc_nat) ),
    file('<stdin>',cls_not__less__eq__eq_0) ).

fof(c_0_545_546,axiom,
    ! [X7] :
      ( c_HOL_Oord__class_Oless(X7,X7,tc_nat)
      | c_HOL_Oord__class_Oless(X7,c_Suc(X7),tc_nat) ),
    file('<stdin>',cls_not__less__less__Suc__eq_1) ).

fof(c_0_546_547,axiom,
    ! [X21,X28] :
      ( c_HOL_Oord__class_Oless(X21,c_Suc(X28),tc_nat)
      | c_HOL_Oord__class_Oless(X28,X21,tc_nat) ),
    file('<stdin>',cls_not__less__eq_0) ).

fof(c_0_547_548,axiom,
    ! [X21,X28] :
      ( c_HOL_Oord__class_Oless(X21,X28,tc_nat)
      | c_HOL_Oord__class_Oless(X28,X21,tc_nat)
      | X28 = X21 ),
    file('<stdin>',cls_nat__neq__iff_0) ).

fof(c_0_548_549,axiom,
    ! [X6,X7] :
      ( c_HOL_Oord__class_Oless(X6,X7,tc_nat)
      | c_HOL_Oord__class_Oless(X7,X6,tc_nat)
      | X7 = X6 ),
    file('<stdin>',cls_linorder__neqE__nat_0) ).

fof(c_0_549_550,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Ominus__class_Ominus(X7,X6,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X7 = X6 ),
    file('<stdin>',cls_class__ringb_Osubr0__iff_0) ).

fof(c_0_550_551,axiom,
    ! [X21] :
      ( X21 = c_HOL_Ozero__class_Ozero(tc_nat)
      | ~ c_HOL_Oord__class_Oless(X21,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
    file('<stdin>',cls_less__Suc0_0) ).

fof(c_0_551_552,axiom,
    ! [X21,X28] :
      ( c_lessequals(X21,X28,tc_nat)
      | c_lessequals(X28,X21,tc_nat) ),
    file('<stdin>',cls_nat__le__linear_0) ).

fof(c_0_552_553,axiom,
    ! [X10,X11,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X3) != c_Orderings_Obot__class_Obot(X3)
      | X11 = c_Orderings_Obot__class_Obot(X3) ),
    file('<stdin>',cls_sup__eq__bot__eq1_0) ).

fof(c_0_553_554,axiom,
    ! [X10,X11,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X3) != c_Orderings_Obot__class_Obot(X3)
      | X10 = c_Orderings_Obot__class_Obot(X3) ),
    file('<stdin>',cls_sup__eq__bot__eq2_0) ).

fof(c_0_554_555,axiom,
    ! [X21,X13,X3] :
      ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X3)
      | c_Power_Opower__class_Opower(X13,X21,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X13 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_field__power__not__zero_0) ).

fof(c_0_555_556,axiom,
    ! [X10,X11,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X3) != c_Orderings_Otop__class_Otop(X3)
      | X11 = c_Orderings_Otop__class_Otop(X3) ),
    file('<stdin>',cls_inf__eq__top__eq1_0) ).

fof(c_0_556_557,axiom,
    ! [X10,X11,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X3) != c_Orderings_Otop__class_Otop(X3)
      | X10 = c_Orderings_Otop__class_Otop(X3) ),
    file('<stdin>',cls_inf__eq__top__eq2_0) ).

fof(c_0_557_558,axiom,
    ! [X7,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X7),X3) = c_Orderings_Obot__class_Obot(X3) ),
    file('<stdin>',cls_inf__compl__bot_0) ).

fof(c_0_558_559,axiom,
    ! [X7,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X7),X7,X3) = c_Orderings_Obot__class_Obot(X3) ),
    file('<stdin>',cls_compl__inf__bot_0) ).

fof(c_0_559_560,axiom,
    ! [X7,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X7),X7,X3) = c_Orderings_Otop__class_Otop(X3) ),
    file('<stdin>',cls_compl__sup__top_0) ).

fof(c_0_560_561,axiom,
    ! [X7,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X7),X3) = c_Orderings_Otop__class_Otop(X3) ),
    file('<stdin>',cls_sup__compl__top_0) ).

fof(c_0_561_562,axiom,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X13,X23,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X13 = X23 ),
    file('<stdin>',cls_right__minus__eq_0) ).

fof(c_0_562_563,axiom,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X13,X23,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X13 = X23 ),
    file('<stdin>',cls_eq__iff__diff__eq__0_1) ).

fof(c_0_563_564,axiom,
    ! [X21,X3] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X3)
      | ~ class_Ring__and__Field_Ono__zero__divisors(X3)
      | ~ class_Ring__and__Field_Omult__zero(X3)
      | ~ class_Power_Opower(X3)
      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X3),X21,X3) = c_HOL_Ozero__class_Ozero(X3)
      | X21 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('<stdin>',cls_power__eq__0__iff_2) ).

fof(c_0_564_565,axiom,
    ! [X21,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Nat_Osemiring__1__class_Oof__nat(X21,X3),X3) ),
    file('<stdin>',cls_of__nat__0__le__iff_0) ).

fof(c_0_565_566,axiom,
    ! [X28,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Nat_Osemiring__1__class_Oof__nat(X28,X3),X3) ),
    file('<stdin>',cls_zero__le__imp__of__nat_0) ).

fof(c_0_566_567,axiom,
    ! [X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | ~ c_HOL_Oord__class_Oless(X7,X7,X3) ),
    file('<stdin>',cls_order__less__le_1) ).

fof(c_0_567_568,axiom,
    ! [X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X7,X7,X3) ),
    file('<stdin>',cls_linorder__neq__iff_1) ).

fof(c_0_568_569,axiom,
    ! [X7,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X7,X7,X3) ),
    file('<stdin>',cls_order__less__irrefl_0) ).

fof(c_0_569_570,axiom,
    ! [X21] :
      ( X21 = c_HOL_Ozero__class_Ozero(tc_nat)
      | ~ c_lessequals(X21,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
    file('<stdin>',cls_le__0__eq_0) ).

fof(c_0_570_571,axiom,
    ! [X1,X2,X3] :
      ( X2 = X1
      | ~ c_fequal(X2,X1,X3) ),
    file('<stdin>',cls_ATP__Linkup_Ofequal__imp__equal_0) ).

fof(c_0_571_572,axiom,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X3),X13,X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13) ),
    file('<stdin>',cls_group__add__class_Odiff__0_0) ).

fof(c_0_572_573,axiom,
    ! [X21,X3] :
      ( ~ class_Ring__and__Field_Osemiring__0(X3)
      | ~ class_Power_Opower(X3)
      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X3),c_Suc(X21),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_power__0__Suc_0) ).

fof(c_0_573_574,axiom,
    ! [X21,X3] :
      ( ~ class_Ring__and__Field_Osemiring__0(X3)
      | ~ class_Power_Opower(X3)
      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X3),X21,X3) = c_HOL_Ozero__class_Ozero(X3)
      | X21 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('<stdin>',cls_power__0__left_1) ).

fof(c_0_574_575,axiom,
    ! [X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) = c_Orderings_Obot__class_Obot(X3) ),
    file('<stdin>',cls_Sup__empty_0) ).

fof(c_0_575_576,axiom,
    ! [X11,X3] :
      ( c_Finite__Set_Ocard(X11,X3) != c_HOL_Ozero__class_Ozero(tc_nat)
      | ~ c_Finite__Set_Ofinite(X11,X3)
      | X11 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    file('<stdin>',cls_card__eq__0__iff_0) ).

fof(c_0_576_577,axiom,
    ! [X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3) = c_Orderings_Otop__class_Otop(X3) ),
    file('<stdin>',cls_Sup__UNIV_0) ).

fof(c_0_577_578,axiom,
    ! [X9] :
      ( ~ class_Orderings_Obot(X9)
      | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X9)),v_x) = c_Orderings_Obot__class_Obot(X9) ),
    file('<stdin>',cls_bot__fun__eq_0) ).

fof(c_0_578_579,axiom,
    ! [X9] :
      ( ~ class_Orderings_Otop(X9)
      | hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X9)),v_x) = c_Orderings_Otop__class_Otop(X9) ),
    file('<stdin>',cls_top__fun__eq_0) ).

fof(c_0_579_580,axiom,
    ! [X3] :
      ( ~ class_Finite__Set_Ofinite_Ofinite(X3)
      | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3) ),
    file('<stdin>',cls_finite__UNIV_0) ).

fof(c_0_580_581,axiom,
    ! [X7,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Ominus__class_Ominus(X7,X7,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_class__ringb_Osubr0__iff_1) ).

fof(c_0_581_582,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X7) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X6)
      | X7 = X6 ),
    file('<stdin>',cls_compl__eq__compl__iff_0) ).

fof(c_0_582_583,axiom,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23)
      | X13 = X23 ),
    file('<stdin>',cls_neg__equal__iff__equal_0) ).

fof(c_0_583_584,axiom,
    ! [X7,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,c_Orderings_Obot__class_Obot(X3),X3) = c_Orderings_Obot__class_Obot(X3) ),
    file('<stdin>',cls_inf__bot__right_0) ).

fof(c_0_584_585,axiom,
    ! [X7,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X3),X7,X3) = c_Orderings_Obot__class_Obot(X3) ),
    file('<stdin>',cls_inf__bot__left_0) ).

fof(c_0_585_586,axiom,
    ! [X7,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X3),X7,X3) = c_Orderings_Otop__class_Otop(X3) ),
    file('<stdin>',cls_sup__top__left_0) ).

fof(c_0_586_587,axiom,
    ! [X7,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Orderings_Otop__class_Otop(X3),X3) = c_Orderings_Otop__class_Otop(X3) ),
    file('<stdin>',cls_sup__top__right_0) ).

fof(c_0_587_588,axiom,
    ! [X7,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Orderings_Obot__class_Obot(X3),X3) = X7 ),
    file('<stdin>',cls_sup__bot__right_0) ).

fof(c_0_588_589,axiom,
    ! [X7,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X3),X7,X3) = X7 ),
    file('<stdin>',cls_sup__bot__left_0) ).

fof(c_0_589_590,axiom,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X13,c_HOL_Ozero__class_Ozero(X3),X3) = X13 ),
    file('<stdin>',cls_diff__0__right_0) ).

fof(c_0_590_591,axiom,
    ! [X7,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X3),X7,X3) = X7 ),
    file('<stdin>',cls_inf__top__left_0) ).

fof(c_0_591_592,axiom,
    ! [X7,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,c_Orderings_Otop__class_Otop(X3),X3) = X7 ),
    file('<stdin>',cls_inf__top__right_0) ).

fof(c_0_592_593,axiom,
    ! [X7,X3] :
      ( ~ class_Orderings_Obot(X3)
      | c_lessequals(c_Orderings_Obot__class_Obot(X3),X7,X3) ),
    file('<stdin>',cls_bot__least_0) ).

fof(c_0_593_594,axiom,
    ! [X7,X3] :
      ( ~ class_Orderings_Otop(X3)
      | c_lessequals(X7,c_Orderings_Otop__class_Otop(X3),X3) ),
    file('<stdin>',cls_top__greatest_0) ).

fof(c_0_594_595,axiom,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13)) = X13 ),
    file('<stdin>',cls_minus__minus_0) ).

fof(c_0_595_596,axiom,
    ! [X7,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X7)) = X7 ),
    file('<stdin>',cls_double__compl_0) ).

fof(c_0_596_597,axiom,
    ! [X23,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | X23 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23)) ),
    file('<stdin>',cls_equation__minus__iff_0) ).

fof(c_0_597_598,axiom,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | X13 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13)) ),
    file('<stdin>',cls_equation__minus__iff_1) ).

fof(c_0_598_599,axiom,
    ! [X23,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23)) = X23 ),
    file('<stdin>',cls_minus__equation__iff_1) ).

fof(c_0_599_600,axiom,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X13,X13,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_diff__self_0) ).

fof(c_0_600_601,axiom,
    ! [X7,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X7,X7,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_right__minus__eq_1) ).

fof(c_0_601_602,axiom,
    ! [X7,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X7,X7,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_eq__iff__diff__eq__0_0) ).

fof(c_0_602_603,axiom,
    ! [X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X7,X3) = X7 ),
    file('<stdin>',cls_sup__idem_0) ).

fof(c_0_603_604,axiom,
    ! [X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,X7,X3) = X7 ),
    file('<stdin>',cls_inf__idem_0) ).

fof(c_0_604_605,axiom,
    ! [X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X7,X7,X3) ),
    file('<stdin>',cls_order__eq__iff_0) ).

fof(c_0_605_606,axiom,
    ! [X7,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X7,X7,X3) ),
    file('<stdin>',cls_order__eq__refl_0) ).

fof(c_0_606_607,axiom,
    ! [X21] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X21,tc_nat)
      | X21 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    file('<stdin>',cls_gr0I_0) ).

fof(c_0_607_608,axiom,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_SetInterval_Oord__class_OlessThan(X7,X3) != c_SetInterval_Oord__class_OlessThan(X6,X3)
      | X7 = X6 ),
    file('<stdin>',cls_lessThan__eq__iff_0) ).

fof(c_0_608_609,axiom,
    ! [X21,X28,X3] :
      ( ~ class_Nat_Osemiring__char__0(X3)
      | c_Nat_Osemiring__1__class_Oof__nat(X28,X3) != c_Nat_Osemiring__1__class_Oof__nat(X21,X3)
      | X28 = X21 ),
    file('<stdin>',cls_of__nat__eq__iff_0) ).

fof(c_0_609_610,axiom,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13) != c_HOL_Ozero__class_Ozero(X3)
      | X13 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_neg__equal__0__iff__equal_0) ).

fof(c_0_610_611,axiom,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ozero__class_Ozero(X3) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13)
      | c_HOL_Ozero__class_Ozero(X3) = X13 ),
    file('<stdin>',cls_neg__0__equal__iff__equal_0) ).

fof(c_0_611_612,axiom,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13) != X13
      | X13 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_neg__equal__zero_0) ).

fof(c_0_612_613,axiom,
    ! [X4,X5] :
      ( class_Finite__Set_Ofinite_Ofinite(tc_fun(X4,X5))
      | ~ class_Finite__Set_Ofinite_Ofinite(X5)
      | ~ class_Finite__Set_Ofinite_Ofinite(X4) ),
    file('<stdin>',clsarity_fun__Finite__Set_Ofinite_Ofinite) ).

fof(c_0_613_614,axiom,
    ! [X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Orderings_Otop__class_Otop(X3)) = c_Orderings_Obot__class_Obot(X3) ),
    file('<stdin>',cls_compl__top__eq_0) ).

fof(c_0_614_615,axiom,
    ! [X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Orderings_Obot__class_Obot(X3)) = c_Orderings_Otop__class_Otop(X3) ),
    file('<stdin>',cls_compl__bot__eq_0) ).

fof(c_0_615_616,axiom,
    ! [X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_minus__zero_0) ).

fof(c_0_616_617,axiom,
    ! [X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_neg__equal__zero_1) ).

fof(c_0_617_618,axiom,
    ! [X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ozero__class_Ozero(X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_HOL_Ozero__class_Ozero(X3)) ),
    file('<stdin>',cls_neg__0__equal__iff__equal_1) ).

fof(c_0_618_619,axiom,
    ! [X4,X5] :
      ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X4,X5))
      | ~ class_Complete__Lattice_Ocomplete__lattice(X5) ),
    file('<stdin>',clsarity_fun__Complete__Lattice_Ocomplete__lattice) ).

fof(c_0_619_620,axiom,
    ! [X4,X5] :
      ( class_Lattices_Oupper__semilattice(tc_fun(X4,X5))
      | ~ class_Lattices_Olattice(X5) ),
    file('<stdin>',clsarity_fun__Lattices_Oupper__semilattice) ).

fof(c_0_620_621,axiom,
    ! [X4,X5] :
      ( class_Lattices_Olower__semilattice(tc_fun(X4,X5))
      | ~ class_Lattices_Olattice(X5) ),
    file('<stdin>',clsarity_fun__Lattices_Olower__semilattice) ).

fof(c_0_621_622,axiom,
    ! [X4,X5] :
      ( class_Lattices_Odistrib__lattice(tc_fun(X4,X5))
      | ~ class_Lattices_Odistrib__lattice(X5) ),
    file('<stdin>',clsarity_fun__Lattices_Odistrib__lattice) ).

fof(c_0_622_623,axiom,
    ! [X4,X5] :
      ( class_Lattices_Obounded__lattice(tc_fun(X4,X5))
      | ~ class_Lattices_Obounded__lattice(X5) ),
    file('<stdin>',clsarity_fun__Lattices_Obounded__lattice) ).

fof(c_0_623_624,axiom,
    ! [X4,X5] :
      ( class_Lattices_Oboolean__algebra(tc_fun(X4,X5))
      | ~ class_Lattices_Oboolean__algebra(X5) ),
    file('<stdin>',clsarity_fun__Lattices_Oboolean__algebra) ).

fof(c_0_624_625,axiom,
    ! [X4,X5] :
      ( class_Orderings_Opreorder(tc_fun(X4,X5))
      | ~ class_Orderings_Opreorder(X5) ),
    file('<stdin>',clsarity_fun__Orderings_Opreorder) ).

fof(c_0_625_626,axiom,
    ! [X4,X5] :
      ( class_Lattices_Olattice(tc_fun(X4,X5))
      | ~ class_Lattices_Olattice(X5) ),
    file('<stdin>',clsarity_fun__Lattices_Olattice) ).

fof(c_0_626_627,axiom,
    ! [X4,X5] :
      ( class_Orderings_Oorder(tc_fun(X4,X5))
      | ~ class_Orderings_Oorder(X5) ),
    file('<stdin>',clsarity_fun__Orderings_Oorder) ).

fof(c_0_627_628,axiom,
    ! [X4,X5] :
      ( class_Orderings_Otop(tc_fun(X4,X5))
      | ~ class_Orderings_Otop(X5) ),
    file('<stdin>',clsarity_fun__Orderings_Otop) ).

fof(c_0_628_629,axiom,
    ! [X4,X5] :
      ( class_Orderings_Obot(tc_fun(X4,X5))
      | ~ class_Orderings_Obot(X5) ),
    file('<stdin>',clsarity_fun__Orderings_Obot) ).

fof(c_0_629_630,axiom,
    ! [X4,X5] :
      ( class_HOL_Ouminus(tc_fun(X4,X5))
      | ~ class_HOL_Ouminus(X5) ),
    file('<stdin>',clsarity_fun__HOL_Ouminus) ).

fof(c_0_630_631,axiom,
    ! [X4,X5] :
      ( class_HOL_Ominus(tc_fun(X4,X5))
      | ~ class_HOL_Ominus(X5) ),
    file('<stdin>',clsarity_fun__HOL_Ominus) ).

fof(c_0_631_632,axiom,
    ! [X4,X5] :
      ( class_HOL_Oord(tc_fun(X4,X5))
      | ~ class_HOL_Oord(X5) ),
    file('<stdin>',clsarity_fun__HOL_Oord) ).

fof(c_0_632_633,axiom,
    ! [X11,X3] :
      ( c_Finite__Set_Ocard(X11,X3) = c_HOL_Ozero__class_Ozero(tc_nat)
      | c_Finite__Set_Ofinite(X11,X3) ),
    file('<stdin>',cls_card__eq__0__iff_2) ).

fof(c_0_633_634,axiom,
    ! [X3] :
      ( ~ class_Ring__and__Field_Osemiring__1(X3)
      | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_of__nat__0_0) ).

fof(c_0_634_635,axiom,
    ! [X11,X3] :
      ( ~ class_Finite__Set_Ofinite_Ofinite(X3)
      | c_Finite__Set_Ofinite(X11,X3) ),
    file('<stdin>',cls_finite_0) ).

fof(c_0_635_636,axiom,
    ! [X6,X7] :
      ( c_Suc(X7) != c_Suc(X6)
      | X7 = X6 ),
    file('<stdin>',cls_Suc__inject_0) ).

fof(c_0_636_637,axiom,
    ! [X49,X50] :
      ( c_Suc(X50) != c_Suc(X49)
      | X50 = X49 ),
    file('<stdin>',cls_nat_Oinject_0) ).

fof(c_0_637_638,plain,
    ! [X17,X8,X11,X9,X3] :
      ( hAPP(X17,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X11,X8,X17,X3,X9)) != hAPP(X17,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X11,X8,X17,X3,X9))
      | hAPP(X17,hAPP(X8,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X11,X8,X17,X3,X9))) != hAPP(X17,hAPP(X8,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X11,X8,X17,X3,X9)))
      | c_Fun_Oinj__on(X17,X11,X3,X9)
      | ~ c_Fun_Oinj__on(X17,c_Set_Oimage(X8,X11,X3,X3),X3,X9)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_638_639,plain,
    ! [X17,X8,X11,X9,X3] :
      ( hAPP(X17,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X11,X8,X17,X3,X9)) != hAPP(X17,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X11,X8,X17,X3,X9))
      | hAPP(X17,hAPP(X8,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X11,X8,X17,X3,X9))) != hAPP(X17,hAPP(X8,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X11,X8,X17,X3,X9)))
      | c_Fun_Oinj__on(X17,c_Set_Oimage(X8,X11,X3,X3),X3,X9)
      | ~ c_Fun_Oinj__on(X17,X11,X3,X9)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_639_640,plain,
    ! [X7,X17,X8,X11,X18,X9,X3] :
      ( hAPP(c_Hilbert__Choice_Oinv__into(X11,c_Fun_Ocomp(X8,X17,X3,X9,X18),X18,X9),X7) = hAPP(c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(X11,X17,X18,X3),c_Hilbert__Choice_Oinv__into(c_Set_Oimage(X17,X11,X18,X3),X8,X3,X9),X3,X18,X9),X7)
      | ~ hBOOL(c_in(X7,c_Set_Oimage(X8,c_Set_Oimage(X17,X11,X18,X3),X3,X9),X9))
      | ~ c_Fun_Oinj__on(X17,X11,X18,X3)
      | ~ c_Fun_Oinj__on(X8,c_Set_Oimage(X17,X11,X18,X3),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_640_641,plain,
    ! [X7,X17,X8,X11,X18,X9,X3] :
      ( hAPP(c_Fun_Othe__inv__into(X11,c_Fun_Ocomp(X8,X17,X3,X9,X18),X18,X9),X7) = hAPP(c_Fun_Ocomp(c_Fun_Othe__inv__into(X11,X17,X18,X3),c_Fun_Othe__inv__into(c_Set_Oimage(X17,X11,X18,X3),X8,X3,X9),X3,X18,X9),X7)
      | ~ hBOOL(c_in(X7,c_Set_Oimage(X8,c_Set_Oimage(X17,X11,X18,X3),X3,X9),X9))
      | ~ c_Fun_Oinj__on(X17,X11,X18,X3)
      | ~ c_Fun_Oinj__on(X8,c_Set_Oimage(X17,X11,X18,X3),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_641_642,plain,
    ! [X17,X8,X11,X9,X3] :
      ( c_Fun_Oinj__on(X17,X11,X3,X9)
      | ~ c_Fun_Oinj__on(X17,c_Set_Oimage(X8,X11,X3,X3),X3,X9)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X3)
      | hAPP(X17,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X11,X8,X17,X3,X9)) = hAPP(X17,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X11,X8,X17,X3,X9))
      | hAPP(X17,hAPP(X8,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X11,X8,X17,X3,X9))) = hAPP(X17,hAPP(X8,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X11,X8,X17,X3,X9))) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_642_643,plain,
    ! [X17,X8,X11,X9,X3] :
      ( c_Fun_Oinj__on(X17,c_Set_Oimage(X8,X11,X3,X3),X3,X9)
      | ~ c_Fun_Oinj__on(X17,X11,X3,X9)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X3)
      | hAPP(X17,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X11,X8,X17,X3,X9)) = hAPP(X17,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X11,X8,X17,X3,X9))
      | hAPP(X17,hAPP(X8,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X11,X8,X17,X3,X9))) = hAPP(X17,hAPP(X8,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X11,X8,X17,X3,X9))) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_643_644,axiom,
    ! [X17,X8,X11,X9,X3] :
      ( hAPP(X17,hAPP(X8,c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(X11,X8,X17,X3,X9))) != c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(X11,X8,X17,X3,X9)
      | c_Fun_Oinj__on(X8,X11,X3,X9) ),
    c_0_6 ).

fof(c_0_644_645,plain,
    ! [X7,X8,X22,X9,X3] :
      ( hBOOL(hAPP(X22,X7))
      | ~ hBOOL(hAPP(X22,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X22,X8,X3,X9))))
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_645_646,plain,
    ! [X17,X8,X32,X10,X11,X18,X9,X3] :
      ( c_Fun_Obij__betw(c_Fun_Ocomp(X17,X8,X9,X18,X3),X11,X32,X3,X18)
      | ~ c_Fun_Obij__betw(X17,X10,X32,X9,X18)
      | ~ c_Fun_Obij__betw(X8,X11,X10,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_646_647,plain,
    ! [X17,X8,X11,X9,X3] :
      ( c_Fun_Oinj__on(X17,X11,X3,X9)
      | ~ c_Fun_Oinj__on(X17,c_Set_Oimage(X8,X11,X3,X3),X3,X9)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X3)
      | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X11,X8,X17,X3,X9),X11,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_647_648,plain,
    ! [X17,X8,X11,X9,X3] :
      ( c_Fun_Oinj__on(X17,X11,X3,X9)
      | ~ c_Fun_Oinj__on(X17,c_Set_Oimage(X8,X11,X3,X3),X3,X9)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X3)
      | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X11,X8,X17,X3,X9),X11,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_648_649,plain,
    ! [X17,X8,X11,X9,X3] :
      ( c_Fun_Oinj__on(X17,c_Set_Oimage(X8,X11,X3,X3),X3,X9)
      | ~ c_Fun_Oinj__on(X17,X11,X3,X9)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X3)
      | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X11,X8,X17,X3,X9),X11,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_649_650,plain,
    ! [X17,X8,X11,X9,X3] :
      ( c_Fun_Oinj__on(X17,c_Set_Oimage(X8,X11,X3,X3),X3,X9)
      | ~ c_Fun_Oinj__on(X17,X11,X3,X9)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X3)
      | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X11,X8,X17,X3,X9),X11,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_650_651,plain,
    ! [X17,X8,X18,X9,X3] :
      ( c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X8,X17,X3,X18,X9),c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool)),X9,X18),X18)
      | ~ c_Finite__Set_Ofinite(c_Set_Oimage(X17,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool)),X9,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_651_652,plain,
    ! [X8,X13,X11,X9,X3] :
      ( ~ hBOOL(c_in(hAPP(X8,X13),c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X9),X9))
      | ~ c_Fun_Oinj__on(X8,c_Set_Oinsert(X13,X11,X3),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_652_653,plain,
    ! [X17,X8,X18,X9,X3] :
      ( c_Fun_Ocomp(c_Fun_Ocomp(X17,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),X3,X18,X9),X8,X9,X18,X3) = X17
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_653_654,plain,
    ! [X17,X8,X18,X9,X3] :
      ( c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X18,tc_bool)),c_Fun_Ocomp(X8,X17,X3,X9,X18),X18,X9) = c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X18,tc_bool)),X17,X18,X3),c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),X3,X18,X9)
      | ~ c_Fun_Obij(X17,X18,X3)
      | ~ c_Fun_Obij(X8,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_654_655,axiom,
    ! [X17,X8,X11,X9,X3] :
      ( c_Fun_Oinj__on(X8,X11,X3,X9)
      | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(X11,X8,X17,X3,X9),X11,X3)) ),
    c_0_17 ).

fof(c_0_655_656,plain,
    ! [X6,X7,X8,X11,X9,X3] :
      ( hAPP(c_Hilbert__Choice_Oinv__into(X11,X8,X3,X9),X7) != hAPP(c_Hilbert__Choice_Oinv__into(X11,X8,X3,X9),X6)
      | X7 = X6
      | ~ hBOOL(c_in(X6,c_Set_Oimage(X8,X11,X3,X9),X9))
      | ~ hBOOL(c_in(X7,c_Set_Oimage(X8,X11,X3,X9),X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_656_657,axiom,
    ! [X34,X7,X36,X17,X37,X8,X38,X39,X18,X9,X3] :
      ( hAPP(X8,hAPP(X17,X7)) != hAPP(X37,hAPP(X36,X34))
      | hAPP(c_Fun_Ocomp(X8,X17,X9,X3,X18),X7) = hAPP(c_Fun_Ocomp(X37,X36,X39,X3,X38),X34) ),
    c_0_19 ).

fof(c_0_657_658,plain,
    ! [X17,X8,X11,X18,X9,X3] :
      ( c_Fun_Oinj__on(X17,c_Set_Oimage(X8,X11,X3,X18),X18,X9)
      | ~ c_Fun_Oinj__on(c_Fun_Ocomp(X17,X8,X18,X9,X3),X11,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_658_659,plain,
    ! [X7,X8,X10,X11,X9,X3] :
      ( hBOOL(c_in(hAPP(c_Fun_Othe__inv__into(X11,X8,X3,X9),X7),X10,X3))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | ~ hBOOL(c_in(X7,c_Set_Oimage(X8,X11,X3,X9),X9))
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_659_660,plain,
    ! [X7,X8,X16,X3] :
      ( ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X16,tc_bool)),X16,X3)
      | hBOOL(c_in(hAPP(X8,X7),c_Set_Oimage(X8,c_Orderings_Otop__class_Otop(tc_fun(X16,tc_bool)),X16,X3),X3))
      | hAPP(X8,X7) = hAPP(X8,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X8,X7),X8,X7,X3,X16)) ),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_660_661,plain,
    ! [X17,X8,X11,X18,X9,X3] :
      ( c_Fun_Oinj__on(c_Fun_Ocomp(X17,X8,X9,X18,X3),X11,X3,X18)
      | ~ c_Fun_Oinj__on(X17,c_Set_Oimage(X8,X11,X3,X9),X9,X18)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_661_662,plain,
    ! [X8,X13,X11,X9,X3] :
      ( c_Fun_Oinj__on(X8,c_Set_Oinsert(X13,X11,X3),X3,X9)
      | hBOOL(c_in(hAPP(X8,X13),c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X9),X9))
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_662_663,plain,
    ! [X6,X7,X11,X3] :
      ( c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),c_Set_Oinsert(X6,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),c_Finite__Set_Ocard(X11,X3),tc_nat)
      | ~ hBOOL(c_in(X6,X11,X3))
      | ~ hBOOL(c_in(X7,X11,X3))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_663_664,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_Fun_Obij__betw(X8,X11,X10,X3,X9)
      | ~ c_Fun_Obij__betw(c_FuncSet_Orestrict(X8,X11,X3,X9),X11,X10,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_664_665,axiom,
    ! [X40,X41,X35,X23,X13,X39,X18,X9,X3] :
      ( c_Fun_Ocomp(X13,X23,X18,X9,X3) != c_Fun_Ocomp(X35,X41,X39,X9,X3)
      | hAPP(X13,hAPP(X23,X40)) = hAPP(X35,hAPP(X41,X40)) ),
    c_0_27 ).

fof(c_0_665_666,plain,
    ! [X7,X8,X11,X9,X3] :
      ( hBOOL(c_in(hAPP(c_Hilbert__Choice_Oinv__into(X11,X8,X9,X3),X7),X11,X9))
      | ~ hBOOL(c_in(X7,c_Set_Oimage(X8,X11,X9,X3),X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_666_667,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3,X9),c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X10,X11,tc_fun(X3,tc_bool)),X3,X9),tc_fun(X9,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X8,X10,X3,X9)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9)
      | c_Fun_Oinj__on(X8,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_667_668,axiom,
    ! [X40,X35,X23,X13,X18,X9,X3] :
      ( c_Fun_Ocomp(X13,X23,X18,X9,X3) != c_Fun_Ocomp(c_Fun_Oid(X9),X35,X9,X9,X3)
      | hAPP(X13,hAPP(X23,X40)) = hAPP(X35,X40) ),
    c_0_30 ).

fof(c_0_668_669,plain,
    ! [X12,X8,X10,X18,X9,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X18)
      | c_Finite__Set_Osetsum(X12,c_Set_Oimage(X8,X10,X3,X9),X9,X18) = c_Finite__Set_Osetsum(c_Fun_Ocomp(X12,X8,X9,X18,X3),X10,X3,X18)
      | ~ c_Fun_Oinj__on(X8,X10,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_669_670,plain,
    ! [X7,X8,X16,X3] :
      ( c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X8,X7),X8,X7,X3,X16) != X7
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X16,tc_bool)),X16,X3)
      | hBOOL(c_in(hAPP(X8,X7),c_Set_Oimage(X8,c_Orderings_Otop__class_Otop(tc_fun(X16,tc_bool)),X16,X3),X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_670_671,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_Fun_Obij__betw(c_FuncSet_Orestrict(X8,X11,X3,X9),X11,X10,X3,X9)
      | ~ c_Fun_Obij__betw(X8,X11,X10,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_671_672,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_Fun_Obij__betw(c_Fun_Othe__inv__into(X11,X8,X3,X9),X10,X11,X9,X3)
      | ~ c_Fun_Obij__betw(X8,X11,X10,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_672_673,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_Fun_Obij__betw(c_Hilbert__Choice_Oinv__into(X11,X8,X3,X9),X10,X11,X9,X3)
      | ~ c_Fun_Obij__betw(X8,X11,X10,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_673_674,plain,
    ! [X8,X11,X9,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X8,X3,X3,X9),X11,X9,X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Finite__Set_Osetsum(X8,X11,X9,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_674_675,plain,
    ! [X6,X8,X11,X9,X3] :
      ( hAPP(X8,hAPP(c_Fun_Othe__inv__into(X11,X8,X3,X9),X6)) = X6
      | ~ hBOOL(c_in(X6,c_Set_Oimage(X8,X11,X3,X9),X9))
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_675_676,axiom,
    ! [X8,X9,X3] :
      ( c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),X8,X9,X3,X3) != c_Fun_Oid(X3)
      | c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    c_0_38 ).

fof(c_0_676_677,plain,
    ! [X8,X23,X13,X9,X3] :
      ( hAPP(X8,X13) = X23
      | ~ hBOOL(c_in(X13,c_Set_Ovimage(X8,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9),X3,X9),X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_677_678,plain,
    ! [X8,X23,X9,X3] :
      ( X23 = hAPP(X8,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X23,X8,X9,X3))
      | ~ hBOOL(c_in(X23,c_Set_Oimage(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9),X9))
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_678_679,axiom,
    ! [X8,X9,X3] :
      ( c_Fun_Ocomp(X8,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),X3,X9,X9) != c_Fun_Oid(X9)
      | c_Fun_Osurj(X8,X3,X9) ),
    c_0_41 ).

fof(c_0_679_680,plain,
    ! [X6,X8,X16,X3] :
      ( ~ hBOOL(c_in(hAPP(X8,X6),c_Set_Oimage(X8,c_Orderings_Otop__class_Otop(tc_fun(X16,tc_bool)),X16,X3),X3))
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X16,tc_bool)),X16,X3)
      | X6 = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(hAPP(X8,X6),X8,X3,X16) ),
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_680_681,plain,
    ! [X7,X8,X22,X9,X3] :
      ( hBOOL(hAPP(X22,X7))
      | hBOOL(c_in(c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X22,X8,X3,X9),c_Set_Oimage(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9),X9))
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_681_682,plain,
    ! [X17,X8,X9,X3] :
      ( hAPP(X8,hAPP(X17,c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__imp__inv__eq__1__1(X8,X17,X3,X9))) != c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__imp__inv__eq__1__1(X8,X17,X3,X9)
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9)
      | c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9) = X17 ),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_682_683,plain,
    ! [X6,X8,X11,X9,X3] :
      ( hAPP(X8,hAPP(c_Hilbert__Choice_Oinv__into(X11,X8,X9,X3),X6)) = X6
      | ~ hBOOL(c_in(X6,c_Set_Oimage(X8,X11,X9,X3),X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_683_684,plain,
    ! [X17,X8,X10,X11,X9,X3] :
      ( c_Finite__Set_Ocard(X11,X3) = c_Finite__Set_Ocard(X10,X9)
      | ~ c_Finite__Set_Ofinite(X10,X9)
      | ~ c_Finite__Set_Ofinite(X11,X3)
      | ~ c_lessequals(c_Set_Oimage(X17,X10,X9,X3),X11,tc_fun(X3,tc_bool))
      | ~ c_Fun_Oinj__on(X17,X10,X9,X3)
      | ~ c_lessequals(c_Set_Oimage(X8,X11,X3,X9),X10,tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_684_685,plain,
    ! [X17,X8,X18,X9,X3] :
      ( c_Fun_Obij(c_Fun_Ocomp(X17,X8,X9,X18,X3),X3,X18)
      | ~ c_Fun_Obij(X17,X9,X18)
      | ~ c_Fun_Obij(X8,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_685_686,plain,
    ! [X17,X8,X18,X9,X3] :
      ( c_Fun_Osurj(c_Fun_Ocomp(X17,X8,X9,X18,X3),X3,X18)
      | ~ c_Fun_Osurj(X17,X9,X18)
      | ~ c_Fun_Osurj(X8,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_686_687,plain,
    ! [X8,X11,X9,X3] :
      ( c_lessequals(c_Set_Oimage(X8,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X11),X3,X9),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X9,tc_bool)),c_Set_Oimage(X8,X11,X3,X9)),tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_687_688,plain,
    ! [X8,X13,X11,X9,X3] :
      ( hBOOL(c_in(X13,X11,X3))
      | ~ hBOOL(c_in(hAPP(X8,X13),c_Set_Oimage(X8,X11,X3,X9),X9))
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_688_689,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3,X9),c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X10,X11,tc_fun(X3,tc_bool)),X3,X9),tc_fun(X9,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X8,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_689_690,plain,
    ! [X6,X7,X19,X20,X11,X9,X3] :
      ( hAPP(X20,X7) != hAPP(X20,X6)
      | ~ hBOOL(c_in(X6,X11,X9))
      | ~ hBOOL(c_in(X7,X11,X9))
      | ~ c_Typedef_Otype__definition(X19,X20,X11,X3,X9)
      | X7 = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_690_691,plain,
    ! [X8,X9,X3] :
      ( c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),X8,X9,X3,X3) = c_Fun_Oid(X3)
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_691_692,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Set_Oimage(X8,X11,X3,X9),c_Set_Oimage(X8,X10,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_692_693,plain,
    ! [X19,X20,X11,X9,X3] :
      ( c_Set_Oimage(X19,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) = X11
      | ~ c_Typedef_Otype__definition(X19,X20,X11,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_693_694,plain,
    ! [X19,X20,X11,X9,X3] :
      ( c_Set_Oimage(X20,X11,X9,X3) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))
      | ~ c_Typedef_Otype__definition(X19,X20,X11,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_694_695,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_Set_Oimage(X8,X11,X3,X9) = X10
      | ~ c_Fun_Obij__betw(X8,X11,X10,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_695_696,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_Fun_Oinj__on(X8,X11,X3,X9)
      | ~ c_Fun_Obij__betw(X8,X11,X10,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_696_697,plain,
    ! [X6,X19,X20,X11,X9,X3] :
      ( hAPP(X19,hAPP(X20,X6)) = X6
      | ~ hBOOL(c_in(X6,X11,X9))
      | ~ c_Typedef_Otype__definition(X19,X20,X11,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_697_698,plain,
    ! [X8,X32,X10,X11,X9,X3] :
      ( c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3,X9) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X8,X11,X3,X9),c_Set_Oimage(X8,X10,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_lessequals(X10,X32,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X32,tc_fun(X3,tc_bool))
      | ~ c_Fun_Oinj__on(X8,X32,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_698_699,plain,
    ! [X8,X32,X10,X11,X9,X3] :
      ( c_Set_Oimage(X8,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),X3,X9) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X8,X11,X3,X9),c_Set_Oimage(X8,X10,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_lessequals(X10,X32,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X32,tc_fun(X3,tc_bool))
      | ~ c_Fun_Oinj__on(X8,X32,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_699_700,plain,
    ! [X8,X11,X9,X3] :
      ( ~ c_Fun_Oinj__on(X8,X11,X3,X9)
      | c_Fun_Obij__betw(X8,X11,c_Set_Oimage(X8,X11,X3,X9),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_700_701,plain,
    ! [X7,X19,X20,X11,X9,X3] :
      ( hBOOL(c_in(hAPP(X19,X7),X11,X9))
      | ~ c_Typedef_Otype__definition(X19,X20,X11,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_701_702,plain,
    ! [X8,X11,X9,X3] :
      ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X9,tc_bool)),c_Set_Oimage(X8,X11,X3,X9)),c_Set_Oimage(X8,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X11),X3,X9),tc_fun(X9,tc_bool))
      | ~ c_Fun_Osurj(X8,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_702_703,plain,
    ! [X8,X11,X9,X3] :
      ( c_Set_Oimage(X8,c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),X11,X9,X3),X3,X9) = X11
      | ~ c_Fun_Osurj(X8,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_703_704,plain,
    ! [X51,X21,X28,X8,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X8,c_SetInterval_Oord__class_OatLeastLessThan(X28,X51,tc_nat),tc_nat,X3),c_Finite__Set_Osetsum(X8,c_SetInterval_Oord__class_OatLeastLessThan(X28,X21,tc_nat),tc_nat,X3),X3) = c_Finite__Set_Osetsum(X8,c_SetInterval_Oord__class_OatLeastLessThan(X21,X51,tc_nat),tc_nat,X3)
      | ~ c_lessequals(X21,X51,tc_nat)
      | ~ c_lessequals(X28,X21,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_704_705,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_lessequals(c_Set_Ovimage(X8,X10,X3,X9),X11,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X10,c_Set_Oimage(X8,X11,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_705_706,plain,
    ! [X6,X7,X19,X20,X11,X9,X3] :
      ( hAPP(X19,X7) != hAPP(X19,X6)
      | ~ c_Typedef_Otype__definition(X19,X20,X11,X3,X9)
      | X7 = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_706_707,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_Set_Oimage(X8,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),X3,X9) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X8,X11,X3,X9),c_Set_Oimage(X8,X10,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_707_708,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_Set_Oimage(X8,c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3,X9) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X8,X11,X3,X9),c_Set_Oimage(X8,X10,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_708_709,plain,
    ! [X7,X19,X20,X11,X9,X3] :
      ( hAPP(X20,hAPP(X19,X7)) = X7
      | ~ c_Typedef_Otype__definition(X19,X20,X11,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_709_710,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_Finite__Set_Ocard(X11,X3) = c_Finite__Set_Ocard(X10,X9)
      | ~ c_Fun_Obij__betw(X8,X11,X10,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_710_711,plain,
    ! [X8,X9,X3] :
      ( c_Fun_Ocomp(X8,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),X3,X9,X9) = c_Fun_Oid(X9)
      | ~ c_Fun_Osurj(X8,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_711_712,plain,
    ! [X8,X13,X10,X9,X3] :
      ( hBOOL(c_in(hAPP(X8,X13),X10,X9))
      | ~ hBOOL(c_in(X13,c_Set_Ovimage(X8,X10,X3,X9),X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_712_713,plain,
    ! [X8,X13,X11,X9,X3] :
      ( hBOOL(c_in(hAPP(X8,X13),X11,X9))
      | ~ hBOOL(c_in(X13,c_Set_Ovimage(X8,X11,X3,X9),X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_713_714,plain,
    ! [X8,X2,X9,X3] :
      ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),c_Set_Oimage(X8,X2,X3,X9),X9,X3) = X2
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_714_715,plain,
    ! [X8,X11,X9,X3] :
      ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),c_Set_Oimage(X8,X11,X3,X9),X9,X3) = X11
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_715_716,plain,
    ! [X8,X13,X11,X9,X3] :
      ( hBOOL(c_in(hAPP(X8,X13),c_Set_Oimage(X8,X11,X3,X9),X9))
      | ~ hBOOL(c_in(X13,X11,X3))
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_716_717,plain,
    ! [X8,X47,X11,X9,X3] :
      ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(X11,X8,X3,X9),c_Set_Oimage(X8,X47,X3,X9),X9,X3) = X47
      | ~ c_lessequals(X47,X11,tc_fun(X3,tc_bool))
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_717_718,plain,
    ! [X7,X8,X11,X9,X3] :
      ( hBOOL(hAPP(X11,hAPP(X8,X7)))
      | ~ hBOOL(hAPP(c_Set_Ovimage(X8,X11,X3,X9),X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_718_719,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_lessequals(c_Set_Oimage(X8,X11,X3,X9),c_Set_Oimage(X8,X10,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_719_720,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X11,X8,X9,X3),X10,X3,X9)
      | ~ c_lessequals(X10,c_Set_Oimage(X8,X11,X9,X3),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_720_721,plain,
    ! [X8,X11,X9,X3] :
      ( c_Set_Oimage(c_Fun_Othe__inv__into(X11,X8,X3,X9),c_Set_Oimage(X8,X11,X3,X9),X9,X3) = X11
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_721_722,plain,
    ! [X8,X11,X9,X3] :
      ( c_Fun_Oinj__on(c_Fun_Othe__inv__into(X11,X8,X3,X9),c_Set_Oimage(X8,X11,X3,X9),X9,X3)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_722_723,plain,
    ! [X8,X13,X11,X9,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X9)
      | c_Finite__Set_Osetsum(X8,c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X9) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X8,X11,X3,X9),hAPP(X8,X13),X9)
      | ~ hBOOL(c_in(X13,X11,X3))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_723_724,plain,
    ! [X8,X13,X11,X9,X3] :
      ( ~ class_Ring__and__Field_Oring(X9)
      | c_Finite__Set_Osetsum(X8,c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X9) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X8,X11,X3,X9),hAPP(X8,X13),X9)
      | ~ hBOOL(c_in(X13,X11,X3))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_724_725,plain,
    ! [X8,X10,X11,X9,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X9)
      | c_Finite__Set_Osetsum(X8,c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3,X9) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X8,X11,X3,X9),c_Finite__Set_Osetsum(X8,X10,X3,X9),X9)
      | ~ c_lessequals(X10,X11,tc_fun(X3,tc_bool))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_725_726,plain,
    ! [X8,X11,X3] :
      ( c_Set_Oimage(X8,X11,X3,X3) = X11
      | ~ c_Fun_Oinj__on(X8,X11,X3,X3)
      | ~ c_lessequals(c_Set_Oimage(X8,X11,X3,X3),X11,tc_fun(X3,tc_bool))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_726_727,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_lessequals(X10,c_Set_Oimage(X8,X11,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_lessequals(c_Set_Ovimage(X8,X10,X3,X9),X11,tc_fun(X3,tc_bool))
      | ~ c_Fun_Obij(X8,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_727_728,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_lessequals(c_Set_Ovimage(X8,X10,X3,X9),X11,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X10,c_Set_Oimage(X8,X11,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_Fun_Obij(X8,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_728_729,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_lessequals(X10,c_Set_Oimage(X8,X11,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_lessequals(c_Set_Ovimage(X8,X10,X3,X9),X11,tc_fun(X3,tc_bool))
      | ~ c_Fun_Osurj(X8,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_729_730,plain,
    ! [X7,X11,X3] :
      ( c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),c_Finite__Set_Ocard(X11,X3),tc_nat)
      | ~ hBOOL(c_in(X7,X11,X3))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_730_731,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_lessequals(c_Finite__Set_Ocard(X11,X3),c_Finite__Set_Ocard(X10,X9),tc_nat)
      | ~ c_Finite__Set_Ofinite(X10,X9)
      | ~ c_lessequals(c_Set_Oimage(X8,X11,X3,X9),X10,tc_fun(X9,tc_bool))
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_731_732,plain,
    ! [X26,X3] :
      ( c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(X26,X3),X26,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X26,X3),tc_nat),X3,tc_nat)
      | ~ c_Finite__Set_Ofinite(X26,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_732_733,plain,
    ! [X26,X3] :
      ( c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__nat__finite__1__1(X26,X3),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X26,X3),tc_nat),X26,tc_nat,X3)
      | ~ c_Finite__Set_Ofinite(X26,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_733_734,plain,
    ! [X8,X11,X9,X3] :
      ( c_Fun_Oinj__on(X8,X11,X3,X9)
      | ~ c_Fun_Oinj__on(c_FuncSet_Orestrict(X8,X11,X3,X9),X11,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_734_735,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_Set_Oimage(X8,X11,X3,X9) != c_Set_Oimage(X8,X10,X3,X9)
      | ~ c_Fun_Oinj__on(X8,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X3,X9)
      | X11 = X10 ),
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_735_736,plain,
    ! [X15,X7,X8,X9,X3] :
      ( c_List_Omap(X8,c_List_OremoveAll(X7,X15,X3),X3,X9) = c_List_OremoveAll(hAPP(X8,X7),c_List_Omap(X8,X15,X3,X9),X9)
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_736_737,plain,
    ! [X8,X10,X9,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X9)
      | c_Finite__Set_Osetsum(X8,X10,X3,X9) = c_Finite__Set_Osetsum(c_Fun_Oid(X9),c_Set_Oimage(X8,X10,X3,X9),X9,X9)
      | ~ c_Fun_Oinj__on(X8,X10,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_737_738,plain,
    ! [X7,X11,X3] :
      ( c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3)) = c_Finite__Set_Ocard(X11,X3)
      | ~ hBOOL(c_in(X7,X11,X3))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_738_739,plain,
    ! [X7,X10,X11,X3] :
      ( c_lessequals(X11,c_Set_Oinsert(X7,X10,X3),tc_fun(X3,tc_bool))
      | ~ hBOOL(c_in(X7,X11,X3))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X10,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_739_740,plain,
    ! [X7,X10,X11,X3] :
      ( c_lessequals(X11,c_Set_Oinsert(X7,X10,X3),tc_fun(X3,tc_bool))
      | ~ hBOOL(c_in(X7,X11,X3))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X10,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_740_741,plain,
    ! [X8,X13,X10,X9,X3] :
      ( hBOOL(c_in(X13,c_Set_Ovimage(X8,X10,X3,X9),X3))
      | ~ hBOOL(c_in(hAPP(X8,X13),X10,X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_741_742,plain,
    ! [X8,X13,X11,X9,X3] :
      ( hBOOL(c_in(X13,c_Set_Ovimage(X8,X11,X9,X3),X9))
      | ~ hBOOL(c_in(hAPP(X8,X13),X11,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_742_743,plain,
    ! [X8,X13,X10,X9,X3] :
      ( hBOOL(c_in(X13,c_Set_Ovimage(X8,X10,X9,X3),X9))
      | ~ hBOOL(c_in(hAPP(X8,X13),X10,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_743_744,plain,
    ! [X7,X10,X11,X3] :
      ( c_lessequals(X11,c_Set_Oinsert(X7,X10,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X10,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_744_745,plain,
    ! [X7,X8,X11,X16,X3] :
      ( ~ hBOOL(c_in(X7,X11,X16))
      | hBOOL(c_in(hAPP(X8,X7),c_Set_Oimage(X8,X11,X16,X3),X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_745_746,plain,
    ! [X7,X8,X11,X9,X3] :
      ( ~ hBOOL(c_in(X7,X11,X9))
      | hBOOL(c_in(hAPP(X8,X7),c_Set_Oimage(X8,X11,X9,X3),X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_746_747,plain,
    ! [X7,X8,X11,X9,X3] :
      ( hBOOL(c_in(hAPP(X8,X7),c_Set_Oimage(X8,X11,X9,X3),X3))
      | ~ hBOOL(c_in(X7,X11,X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_747_748,plain,
    ! [X7,X8,X11,X9,X3] :
      ( hBOOL(c_in(hAPP(X8,X7),c_Set_Oimage(X8,X11,X3,X9),X9))
      | ~ hBOOL(c_in(X7,X11,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_748_749,plain,
    ! [X7,X11,X3] :
      ( c_Finite__Set_Ocard(c_Set_Oinsert(X7,X11,X3),X3) = c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_749_750,plain,
    ! [X6,X8,X9,X3] :
      ( hAPP(X8,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),X6)) = X6
      | ~ c_Fun_Osurj(X8,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_750_751,plain,
    ! [X7,X11,X3] :
      ( c_lessequals(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3),c_Finite__Set_Ocard(X11,X3),tc_nat)
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_751_752,plain,
    ! [X14,X15,X8,X9,X3] :
      ( c_List_Omap(X8,X15,X3,X9) != c_List_Omap(X8,X14,X3,X9)
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9)
      | X15 = X14 ),
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_752_753,plain,
    ! [X14,X15,X8,X9,X3] :
      ( c_List_Omap(X8,X15,X9,X3) != c_List_Omap(X8,X14,X9,X3)
      | X15 = X14
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool)),X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_753_754,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_Set_Oimage(X8,X11,X3,X9) != c_Set_Oimage(X8,X10,X3,X9)
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9)
      | X11 = X10 ),
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_754_755,plain,
    ! [X7,X8,X10,X11,X9,X3] :
      ( hBOOL(c_in(hAPP(X8,X7),X10,X3))
      | ~ hBOOL(c_in(X7,X11,X9))
      | ~ c_lessequals(c_Set_Oimage(X8,X11,X9,X3),X10,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_755_756,plain,
    ! [X8,X11,X9,X3] :
      ( c_Set_Ovimage(X8,c_Set_Oimage(X8,X11,X3,X9),X3,X9) = X11
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_756_757,plain,
    ! [X8,X13,X11,X9,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X9)
      | c_Finite__Set_Osetsum(X8,c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X9) = c_Finite__Set_Osetsum(X8,X11,X3,X9)
      | hBOOL(c_in(X13,X11,X3))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_757_758,plain,
    ! [X8,X11,X9,X3] :
      ( c_Finite__Set_Ofinite(X11,X9)
      | ~ c_Fun_Oinj__on(X8,X11,X9,X3)
      | ~ c_Finite__Set_Ofinite(c_Set_Oimage(X8,X11,X9,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_758_759,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_lessequals(c_Set_Ovimage(X8,X11,X9,X3),c_Set_Ovimage(X8,X10,X9,X3),tc_fun(X9,tc_bool))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_759_760,plain,
    ! [X7,X8,X11,X9,X3] :
      ( ~ c_lessequals(X7,X11,tc_fun(X9,tc_bool))
      | c_lessequals(c_Set_Oimage(X8,X7,X9,X3),c_Set_Oimage(X8,X11,X9,X3),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_760_761,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_lessequals(c_Set_Oimage(X8,X11,X3,X9),c_Set_Oimage(X8,X10,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_761_762,plain,
    ! [X12] :
      ( c_Set_Oimage(X12,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) != c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)
      | v_thesis____ ),
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_762_763,plain,
    ! [X8,X11,X9,X3] :
      ( c_Set_Ovimage(X8,X11,X3,X9) = c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),X11,X9,X3)
      | ~ c_Fun_Obij(X8,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_125]) ).

fof(c_0_763_764,plain,
    ! [X8,X11,X3] :
      ( c_Fun_Oinj__on(X8,X11,X3,X3)
      | ~ c_lessequals(X11,c_Set_Oimage(X8,X11,X3,X3),tc_fun(X3,tc_bool))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_126]) ).

fof(c_0_764_765,plain,
    ! [X7,X8,X11,X9,X3] :
      ( hBOOL(hAPP(c_Set_Ovimage(X8,X11,X3,X9),X7))
      | ~ hBOOL(hAPP(X11,hAPP(X8,X7))) ),
    inference(fof_simplification,[status(thm)],[c_0_127]) ).

fof(c_0_765_766,plain,
    ! [X8,X11,X9,X3] :
      ( c_Fun_Oinj__on(c_FuncSet_Orestrict(X8,X11,X3,X9),X11,X3,X9)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_766_767,plain,
    ! [X8,X9,X3] :
      ( c_Fun_Osurj(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),X9,X3)
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_129]) ).

fof(c_0_767_768,plain,
    ! [X7,X10,X11,X3] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X10,tc_fun(X3,tc_bool))
      | ~ hBOOL(c_in(X7,X11,X3))
      | ~ c_lessequals(X11,c_Set_Oinsert(X7,X10,X3),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_130]) ).

fof(c_0_768_769,plain,
    ! [X8,X11,X9,X3] :
      ( c_lessequals(c_Finite__Set_Ocard(c_Set_Oimage(X8,X11,X3,X9),X9),c_Finite__Set_Ocard(X11,X3),tc_nat)
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_769_770,plain,
    ! [X7,X8,X16,X3] :
      ( ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X16,tc_bool)),X16,X3)
      | hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X16,tc_bool)),X8,X16,X3),hAPP(X8,X7)) = X7 ),
    inference(fof_simplification,[status(thm)],[c_0_132]) ).

fof(c_0_770_771,plain,
    ! [X7,X8,X9,X3] :
      ( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),hAPP(X8,X7)) = X7
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_771_772,plain,
    ! [X7,X8,X9,X3] :
      ( hAPP(c_Fun_Othe__inv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),hAPP(X8,X7)) = X7
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_134]) ).

fof(c_0_772_773,plain,
    ! [X7,X8,X11,X9,X3] :
      ( hAPP(c_Hilbert__Choice_Oinv__into(X11,X8,X3,X9),hAPP(X8,X7)) = X7
      | ~ hBOOL(c_in(X7,X11,X3))
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_773_774,plain,
    ! [X7,X8,X11,X16,X3] :
      ( ~ hBOOL(c_in(X7,X11,X16))
      | ~ c_Fun_Oinj__on(X8,X11,X16,X3)
      | hAPP(c_Hilbert__Choice_Oinv__into(X11,X8,X16,X3),hAPP(X8,X7)) = X7 ),
    inference(fof_simplification,[status(thm)],[c_0_136]) ).

fof(c_0_774_775,plain,
    ! [X7,X8,X11,X9,X3] :
      ( hAPP(c_Fun_Othe__inv__into(X11,X8,X3,X9),hAPP(X8,X7)) = X7
      | ~ hBOOL(c_in(X7,X11,X3))
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_137]) ).

fof(c_0_775_776,plain,
    ! [X7,X8,X11,X16,X3] :
      ( ~ c_Fun_Oinj__on(X8,X11,X16,X3)
      | hAPP(c_Fun_Othe__inv__into(X11,X8,X16,X3),hAPP(X8,X7)) = X7
      | ~ hBOOL(c_in(X7,X11,X16)) ),
    inference(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_776_777,plain,
    ! [X8,X11,X9,X3] :
      ( c_Finite__Set_Ocard(c_Set_Oimage(X8,X11,X3,X9),X9) != c_Finite__Set_Ocard(X11,X3)
      | ~ c_Finite__Set_Ofinite(X11,X3)
      | c_Fun_Oinj__on(X8,X11,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_139]) ).

fof(c_0_777_778,plain,
    ! [X8,X11,X9,X3] :
      ( c_Set_Oimage(X8,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X11),X3,X9) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X9,tc_bool)),c_Set_Oimage(X8,X11,X3,X9))
      | ~ c_Fun_Obij(X8,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_140]) ).

fof(c_0_778_779,plain,
    ! [X12,X27,X9,X3] :
      ( c_Finite__Set_Ofinite(c_Set_Ovimage(X12,X27,X9,X3),X9)
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool)),X9,X3)
      | ~ c_Finite__Set_Ofinite(X27,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_141]) ).

fof(c_0_779_780,plain,
    ! [X7,X8,X11,X9,X3] :
      ( c_Set_Oinsert(hAPP(X8,X7),c_Set_Oimage(X8,X11,X3,X9),X9) = c_Set_Oimage(X8,X11,X3,X9)
      | ~ hBOOL(c_in(X7,X11,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_142]) ).

fof(c_0_780_781,plain,
    ! [X8,X9,X3] :
      ( c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool)),c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),X9,X3) = X8
      | ~ c_Fun_Obij(X8,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_143]) ).

fof(c_0_781_782,plain,
    ! [X8,X9,X3] :
      ( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool)),X9,X3)
      | ~ c_Fun_Osurj(X8,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_144]) ).

fof(c_0_782_783,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_Finite__Set_Ofinite(X10,X9)
      | ~ c_lessequals(X10,c_Set_Oimage(X8,X11,X3,X9),tc_fun(X9,tc_bool))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_145]) ).

fof(c_0_783_784,plain,
    ! [X8,X11,X9,X3] :
      ( c_Finite__Set_Ocard(c_Set_Oimage(X8,X11,X3,X9),X9) = c_Finite__Set_Ocard(X11,X3)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9)
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_146]) ).

fof(c_0_784_785,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3),c_Lattices_Olower__semilattice__class_Oinf(X7,X43,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Oupper__semilattice__class_Osup(X6,X43,X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_147]) ).

fof(c_0_785_786,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Olower__semilattice__class_Oinf(X6,X43,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),c_Lattices_Oupper__semilattice__class_Osup(X7,X43,X3),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_148]) ).

fof(c_0_786_787,plain,
    ! [X8,X11,X9,X3] :
      ( c_Finite__Set_Ocard(c_Set_Oimage(X8,X11,X3,X9),X9) = c_Finite__Set_Ocard(X11,X3)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_149]) ).

fof(c_0_787_788,plain,
    ! [X12,X27,X9,X3] :
      ( c_Finite__Set_Ofinite(X27,X9)
      | ~ c_Fun_Osurj(X12,X3,X9)
      | ~ c_Finite__Set_Ofinite(c_Set_Ovimage(X12,X27,X3,X9),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_150]) ).

fof(c_0_788_789,plain,
    ! [X12,X27,X9,X3] :
      ( c_Finite__Set_Ofinite(X27,X9)
      | ~ c_Finite__Set_Ofinite(c_Set_Ovimage(X12,X27,X3,X9),X3)
      | ~ c_Fun_Obij(X12,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_151]) ).

fof(c_0_789_790,plain,
    ! [X35,X10,X11,X3] :
      ( hBOOL(c_in(X35,X10,X3))
      | hBOOL(c_in(X35,X11,X3))
      | ~ hBOOL(c_in(X35,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_152]) ).

fof(c_0_790_791,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_Fun_Oinj__on(X8,X10,X3,X9)
      | ~ c_Fun_Oinj__on(X8,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_153]) ).

fof(c_0_791_792,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_Fun_Oinj__on(X8,X11,X3,X9)
      | ~ c_Fun_Oinj__on(X8,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_154]) ).

fof(c_0_792_793,plain,
    ! [X23,X13,X3] :
      ( X23 = X13
      | ~ hBOOL(c_in(X23,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_155]) ).

fof(c_0_793_794,axiom,
    ! [X41,X35,X23,X13,X3] :
      ( c_Set_Oinsert(X13,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X35,c_Set_Oinsert(X41,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X13 = X41
      | X13 = X35 ),
    c_0_156 ).

fof(c_0_794_795,axiom,
    ! [X41,X35,X23,X13,X3] :
      ( c_Set_Oinsert(X13,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X35,c_Set_Oinsert(X41,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X23 = X35
      | X13 = X35 ),
    c_0_157 ).

fof(c_0_795_796,axiom,
    ! [X41,X35,X23,X13,X3] :
      ( c_Set_Oinsert(X13,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X35,c_Set_Oinsert(X41,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X13 = X41
      | X23 = X41 ),
    c_0_158 ).

fof(c_0_796_797,axiom,
    ! [X41,X35,X23,X13,X3] :
      ( c_Set_Oinsert(X13,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X35,c_Set_Oinsert(X41,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
      | X23 = X35
      | X23 = X41 ),
    c_0_159 ).

fof(c_0_797_798,plain,
    ! [X35,X10,X11,X3] :
      ( ~ hBOOL(c_in(X35,X10,X3))
      | ~ hBOOL(c_in(X35,c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_160]) ).

fof(c_0_798_799,plain,
    ! [X8,X11,X9,X3] :
      ( c_Set_Oimage(X8,c_Set_Ovimage(X8,X11,X3,X9),X3,X9) = X11
      | ~ c_Fun_Osurj(X8,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_161]) ).

fof(c_0_799_800,plain,
    ! [X8,X13,X11,X9,X3] :
      ( c_Fun_Oinj__on(X8,X11,X3,X9)
      | ~ c_Fun_Oinj__on(X8,c_Set_Oinsert(X13,X11,X3),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_162]) ).

fof(c_0_800_801,plain,
    ! [X13,X11,X3] :
      ( c_Set_Oinsert(X13,c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X11
      | ~ hBOOL(c_in(X13,X11,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_163]) ).

fof(c_0_801_802,axiom,
    ! [X32,X10,X11,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),X32,tc_fun(X3,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(X11,c_Lattices_Oupper__semilattice__class_Osup(X10,X32,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | c_lessequals(X32,X11,tc_fun(X3,tc_bool)) ),
    c_0_164 ).

fof(c_0_802_803,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_Fun_Oinj__on(X8,c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3,X9)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_165]) ).

fof(c_0_803_804,plain,
    ! [X6,X7,X8,X11,X9,X3] :
      ( hAPP(X8,X7) != hAPP(X8,X6)
      | ~ hBOOL(c_in(X6,X11,X3))
      | ~ hBOOL(c_in(X7,X11,X3))
      | X7 = X6
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_166]) ).

fof(c_0_804_805,plain,
    ! [X6,X7,X8,X11,X9,X3] :
      ( hAPP(X8,X7) != hAPP(X8,X6)
      | ~ hBOOL(c_in(X6,X11,X3))
      | ~ hBOOL(c_in(X7,X11,X3))
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9)
      | X7 = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_167]) ).

fof(c_0_805_806,plain,
    ! [X25,X7,X8,X11,X9,X3] :
      ( hAPP(X8,X7) != hAPP(X8,X25)
      | ~ hBOOL(c_in(X25,X11,X3))
      | ~ hBOOL(c_in(X7,X11,X3))
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9)
      | X7 = X25 ),
    inference(fof_simplification,[status(thm)],[c_0_168]) ).

fof(c_0_806_807,plain,
    ! [X6,X7,X8,X11,X9,X3] :
      ( hAPP(X8,X7) != hAPP(X8,X6)
      | ~ c_Fun_Oinj__on(X8,X11,X3,X9)
      | X7 = X6
      | ~ hBOOL(c_in(X6,X11,X3))
      | ~ hBOOL(c_in(X7,X11,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_169]) ).

fof(c_0_807_808,plain,
    ! [X24,X8,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | hAPP(X8,c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X3)
      | c_Finite__Set_Osetsum(X8,c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X24,tc_nat),tc_nat,X3) = c_Finite__Set_Osetsum(X8,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X24,tc_nat),tc_nat,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_170]) ).

fof(c_0_808_809,plain,
    ! [X35,X10,X11,X3] :
      ( hBOOL(c_in(X35,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),X3))
      | ~ hBOOL(c_in(X35,X10,X3))
      | ~ hBOOL(c_in(X35,X11,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_171]) ).

fof(c_0_809_810,plain,
    ! [X35,X10,X11,X3] :
      ( hBOOL(c_in(X35,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),X3))
      | ~ hBOOL(c_in(X35,X10,X3))
      | ~ hBOOL(c_in(X35,X11,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_172]) ).

fof(c_0_810_811,plain,
    ! [X35,X10,X11,X3] :
      ( hBOOL(c_in(X35,X11,X3))
      | ~ hBOOL(c_in(X35,c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_173]) ).

fof(c_0_811_812,plain,
    ! [X35,X10,X11,X3] :
      ( hBOOL(c_in(X35,X10,X3))
      | ~ hBOOL(c_in(X35,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_174]) ).

fof(c_0_812_813,plain,
    ! [X35,X10,X11,X3] :
      ( hBOOL(c_in(X35,X11,X3))
      | ~ hBOOL(c_in(X35,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_175]) ).

fof(c_0_813_814,plain,
    ! [X13,X10,X11,X3] :
      ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X13,X10,X3),tc_fun(X3,tc_bool)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_176]) ).

fof(c_0_814_815,plain,
    ! [X8,X10,X11,X9,X3] :
      ( c_Fun_Oinj__on(X8,X11,X3,X9)
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | ~ c_Fun_Oinj__on(X8,X10,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_177]) ).

fof(c_0_815_816,plain,
    ! [X35,X11,X3] :
      ( ~ hBOOL(c_in(X35,X11,X3))
      | ~ hBOOL(c_in(X35,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X11),X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_178]) ).

fof(c_0_816_817,plain,
    ! [X8,X9,X3] :
      ( c_Fun_Obij(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X8,X3,X9),X9,X3)
      | ~ c_Fun_Obij(X8,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_179]) ).

fof(c_0_817_818,plain,
    ! [X7,X11,X3] :
      ( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Finite__Set_Ocard(X11,X3)
      | hBOOL(c_in(X7,X11,X3))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_180]) ).

fof(c_0_818_819,plain,
    ! [X35,X10,X11,X3] :
      ( hBOOL(c_in(X35,c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3))
      | hBOOL(c_in(X35,X10,X3))
      | ~ hBOOL(c_in(X35,X11,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_181]) ).

fof(c_0_819_820,plain,
    ! [X35,X10,X11,X3] :
      ( hBOOL(c_in(X35,c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3))
      | hBOOL(c_in(X35,X10,X3))
      | ~ hBOOL(c_in(X35,X11,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_182]) ).

fof(c_0_820_821,plain,
    ! [X7,X8,X11,X9,X3] :
      ( hAPP(c_FuncSet_Orestrict(X8,X11,X9,X3),X7) = hAPP(X8,X7)
      | ~ hBOOL(c_in(X7,X11,X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_183]) ).

fof(c_0_821_822,plain,
    ! [X25,X21,X22] :
      ( hBOOL(hAPP(X22,X25))
      | ~ hBOOL(c_in(X25,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X21,tc_nat),tc_nat))
      | ~ hBOOL(hAPP(X22,c_List_Osko__List__Xall__nat__less__eq__1__1(X22,X21))) ),
    inference(fof_simplification,[status(thm)],[c_0_184]) ).

fof(c_0_822_823,plain,
    ! [X7,X21,X22] :
      ( hBOOL(hAPP(X22,c_List_Osko__List__Xex__nat__less__eq__1__2(X22,X21)))
      | ~ hBOOL(hAPP(X22,X7))
      | ~ hBOOL(c_in(X7,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X21,tc_nat),tc_nat)) ),
    inference(fof_simplification,[status(thm)],[c_0_185]) ).

fof(c_0_823_824,plain,
    ! [X13,X10,X11,X3] :
      ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X11,c_Set_Oinsert(X13,X10,X3),tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_186]) ).

fof(c_0_824_825,plain,
    ! [X7,X21,X22] :
      ( c_HOL_Oord__class_Oless(c_List_Osko__List__Xex__nat__less__eq__1__2(X22,X21),X21,tc_nat)
      | ~ hBOOL(hAPP(X22,X7))
      | ~ hBOOL(c_in(X7,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X21,tc_nat),tc_nat)) ),
    inference(fof_simplification,[status(thm)],[c_0_187]) ).

fof(c_0_825_826,plain,
    ! [X8,X3] :
      ( c_Fun_Osurj(X8,X3,X3)
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X3)
      | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_188]) ).

fof(c_0_826_827,plain,
    ! [X31,X32,X10,X11,X3] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X32,X31,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X31,X10,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X32,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_189]) ).

fof(c_0_827_828,plain,
    ! [X31,X32,X10,X11,X3] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X32,X31,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X10,X31,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X32,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_190]) ).

fof(c_0_828_829,plain,
    ! [X31,X32,X10,X11,X3] :
      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X32,X31,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X10,X31,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X32,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_191]) ).

fof(c_0_829_830,plain,
    ! [X7,X21,X22] :
      ( hBOOL(hAPP(X22,X7))
      | ~ hBOOL(c_in(X7,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X21,tc_nat),tc_nat))
      | c_HOL_Oord__class_Oless(c_List_Osko__List__Xall__nat__less__eq__1__1(X22,X21),X21,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_192]) ).

fof(c_0_830_831,plain,
    ! [X23,X13,X11,X3] :
      ( hBOOL(c_in(X13,X11,X3))
      | X13 = X23
      | ~ hBOOL(c_in(X13,c_Set_Oinsert(X23,X11,X3),X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_193]) ).

fof(c_0_831_832,plain,
    ! [X21,X23,X13,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_lessequals(X13,X23,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X23,X3)
      | ~ c_lessequals(c_Power_Opower__class_Opower(X13,c_Suc(X21),X3),c_Power_Opower__class_Opower(X23,c_Suc(X21),X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_194]) ).

fof(c_0_832_833,plain,
    ! [X12,X27,X9,X3] :
      ( c_Finite__Set_Ofinite(c_Set_Ovimage(X12,X27,X3,X9),X3)
      | ~ c_Finite__Set_Ofinite(X27,X9)
      | ~ c_Fun_Obij(X12,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_195]) ).

fof(c_0_833_834,plain,
    ! [X8,X9,X3] :
      ( c_Fun_Obij(X8,X3,X9)
      | ~ c_Fun_Osurj(X8,X3,X9)
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_196]) ).

fof(c_0_834_835,plain,
    ! [X8,X9,X3] :
      ( c_Fun_Obij(X8,X3,X9)
      | ~ c_Fun_Osurj(X8,X3,X9)
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_197]) ).

fof(c_0_835_836,plain,
    ! [X10,X11,X3] :
      ( c_lessequals(X10,X11,tc_fun(X3,tc_bool))
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X11),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X10),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_198]) ).

fof(c_0_836_837,plain,
    ! [X23,X13,X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X13,c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X13,X23,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_199]) ).

fof(c_0_837_838,plain,
    ! [X32,X10,X11,X3] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X32,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,c_Lattices_Oupper__semilattice__class_Osup(X10,X32,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_200]) ).

fof(c_0_838_839,plain,
    ! [X32,X10,X11,X3] :
      ( c_lessequals(X11,c_Lattices_Oupper__semilattice__class_Osup(X10,X32,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X32,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_201]) ).

fof(c_0_839_840,plain,
    ! [X35,X10,X11,X3] :
      ( hBOOL(c_in(X35,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X3))
      | ~ hBOOL(c_in(X35,X10,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_202]) ).

fof(c_0_840_841,plain,
    ! [X35,X10,X11,X3] :
      ( hBOOL(c_in(X35,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X3))
      | ~ hBOOL(c_in(X35,X11,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_203]) ).

fof(c_0_841_842,plain,
    ! [X7,X11,X3] :
      ( X11 = c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
      | X11 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_204]) ).

fof(c_0_842_843,plain,
    ! [X7,X10,X11,X3] :
      ( hBOOL(hAPP(X10,X7))
      | hBOOL(hAPP(X11,X7))
      | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_205]) ).

fof(c_0_843_844,plain,
    ! [X32,X10,X11,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),X32,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X11,c_Lattices_Oupper__semilattice__class_Osup(X10,X32,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X32,X11,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_206]) ).

fof(c_0_844_845,plain,
    ! [X21,X23,X13,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(X13,X23,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X23,X3)
      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X13,X21,X3),c_Power_Opower__class_Opower(X23,X21,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_207]) ).

fof(c_0_845_846,plain,
    ! [X41,X35,X23,X13,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X35,X13,X3)
      | c_lessequals(X23,X13,X3)
      | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X13,X23,X3),c_SetInterval_Oord__class_OatLeastLessThan(X35,X41,X3),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_208]) ).

fof(c_0_846_847,plain,
    ! [X41,X35,X23,X13,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X23,X41,X3)
      | c_lessequals(X23,X13,X3)
      | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X13,X23,X3),c_SetInterval_Oord__class_OatLeastLessThan(X35,X41,X3),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_209]) ).

fof(c_0_847_848,axiom,
    ! [X7,X3] :
      ( hBOOL(c_in(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3))
      | c_Finite__Set_Ocard(c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) ),
    c_0_210 ).

fof(c_0_848_849,plain,
    ! [X13,X32,X10,X3] :
      ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X13,X10,X3),X32,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X13,c_Lattices_Olower__semilattice__class_Oinf(X10,X32,tc_fun(X3,tc_bool)),X3)
      | ~ hBOOL(c_in(X13,X32,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_211]) ).

fof(c_0_849_850,plain,
    ! [X13,X10,X11,X3] :
      ( c_Lattices_Olower__semilattice__class_Oinf(X11,c_Set_Oinsert(X13,X10,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X13,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),X3)
      | ~ hBOOL(c_in(X13,X11,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_212]) ).

fof(c_0_850_851,plain,
    ! [X7,X10,X11,X3] :
      ( hBOOL(hAPP(X10,X7))
      | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_213]) ).

fof(c_0_851_852,plain,
    ! [X7,X10,X11,X3] :
      ( hBOOL(hAPP(X11,X7))
      | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_214]) ).

fof(c_0_852_853,plain,
    ! [X21,X23,X13,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X13,X21,X3),c_Power_Opower__class_Opower(X23,X21,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X21,tc_nat)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X13,X3)
      | ~ c_HOL_Oord__class_Oless(X13,X23,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_215]) ).

fof(c_0_853_854,axiom,
    ! [X8,X9,X3] :
      ( c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9)
      | hAPP(X8,c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__1(X8,X3,X9)) = hAPP(X8,c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__2(X8,X3,X9)) ),
    c_0_216 ).

fof(c_0_854_855,axiom,
    ! [X8,X9,X3] :
      ( c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9)
      | hAPP(X8,c_ATP__Linkup_Osko__Fun__XinjI__1__1(X8,X3,X9)) = hAPP(X8,c_ATP__Linkup_Osko__Fun__XinjI__1__2(X8,X3,X9)) ),
    c_0_217 ).

fof(c_0_855_856,plain,
    ! [X12,X27,X9,X3] :
      ( c_Finite__Set_Ofinite(c_Set_Oimage(X12,X27,X3,X9),X9)
      | ~ c_Finite__Set_Ofinite(X27,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_218]) ).

fof(c_0_856_857,plain,
    ! [X29,X28,X30,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X30,X28,X3),c_SetInterval_Oord__class_OatLeastLessThan(X28,X29,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X30,X29,X3)
      | ~ c_lessequals(X28,X29,X3)
      | ~ c_lessequals(X30,X28,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_219]) ).

fof(c_0_857_858,plain,
    ! [X6,X7,X8,X9,X3] :
      ( hAPP(X8,X7) != hAPP(X8,X6)
      | ~ c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9)
      | X7 = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_220]) ).

fof(c_0_858_859,plain,
    ! [X7,X10,X11,X3] :
      ( ~ hBOOL(c_in(X7,X10,X3))
      | ~ hBOOL(c_in(X7,X11,X3))
      | c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_221]) ).

fof(c_0_859_860,axiom,
    ! [X7,X11,X3] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X7,X11,X3),c_Set_Oinsert(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X11
      | hBOOL(c_in(X7,X11,X3)) ),
    c_0_222 ).

fof(c_0_860_861,axiom,
    ! [X7,X10,X11,X3] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X7,X11,X3),X10,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X7,c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3)
      | hBOOL(c_in(X7,X10,X3)) ),
    c_0_223 ).

fof(c_0_861_862,plain,
    ! [X23,X13,X10,X3] :
      ( hBOOL(c_in(X13,c_Set_Oinsert(X23,X10,X3),X3))
      | ~ hBOOL(c_in(X13,X10,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_224]) ).

fof(c_0_862_863,plain,
    ! [X23,X13,X11,X3] :
      ( hBOOL(c_in(X13,c_Set_Oinsert(X23,X11,X3),X3))
      | ~ hBOOL(c_in(X13,X11,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_225]) ).

fof(c_0_863_864,plain,
    ! [X8,X3] :
      ( c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X3)
      | ~ c_Fun_Osurj(X8,X3,X3)
      | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_226]) ).

fof(c_0_864_865,axiom,
    ! [X35,X11,X3] :
      ( hBOOL(c_in(X35,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X11),X3))
      | hBOOL(c_in(X35,X11,X3)) ),
    c_0_227 ).

fof(c_0_865_866,plain,
    ! [X7,X10,X11,X3] :
      ( c_lessequals(c_Set_Oinsert(X7,X11,X3),X10,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | ~ hBOOL(c_in(X7,X10,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_228]) ).

fof(c_0_866_867,plain,
    ! [X7,X10,X11,X3] :
      ( c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | hBOOL(c_in(X7,X11,X3))
      | ~ c_lessequals(X11,c_Set_Oinsert(X7,X10,X3),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_229]) ).

fof(c_0_867_868,plain,
    ! [X7,X10,X11,X3] :
      ( c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,c_Set_Oinsert(X7,X10,X3),tc_fun(X3,tc_bool))
      | hBOOL(c_in(X7,X11,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_230]) ).

fof(c_0_868_869,plain,
    ! [X32,X10,X11,X3] :
      ( c_HOL_Ominus__class_Ominus(X10,c_HOL_Ominus__class_Ominus(X32,X11,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X11
      | ~ c_lessequals(X10,X32,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_231]) ).

fof(c_0_869_870,plain,
    ! [X32,X10,X11,X3] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X32,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X10,X32,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X32,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_232]) ).

fof(c_0_870_871,plain,
    ! [X32,X10,X11,X3] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X32,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X10,X32,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X32,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_233]) ).

fof(c_0_871_872,plain,
    ! [X32,X10,X11,X3] :
      ( c_lessequals(X32,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X32,X10,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X32,X11,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_234]) ).

fof(c_0_872_873,plain,
    ! [X32,X10,X11,X3] :
      ( c_lessequals(X32,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X32,X10,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X32,X11,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_235]) ).

fof(c_0_873_874,axiom,
    ! [X8,X9,X3] :
      ( c_ATP__Linkup_Osko__Fun__XinjI__1__1(X8,X3,X9) != c_ATP__Linkup_Osko__Fun__XinjI__1__2(X8,X3,X9)
      | c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    c_0_236 ).

fof(c_0_874_875,axiom,
    ! [X8,X9,X3] :
      ( c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__1(X8,X3,X9) != c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__2(X8,X3,X9)
      | c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) ),
    c_0_237 ).

fof(c_0_875_876,plain,
    ! [X21,X23,X13,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_Power_Opower__class_Opower(X13,X21,X3) != c_Power_Opower__class_Opower(X23,X21,X3)
      | X13 = X23
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X21,tc_nat)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X23,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_238]) ).

fof(c_0_876_877,axiom,
    ! [X8,X11,X9,X3] :
      ( c_Set_Oimage(X8,X11,X9,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X11 = c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)) ),
    c_0_239 ).

fof(c_0_877_878,axiom,
    ! [X8,X11,X9,X3] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Set_Oimage(X8,X11,X9,X3)
      | X11 = c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)) ),
    c_0_240 ).

fof(c_0_878_879,plain,
    ! [X10,X11,X3] :
      ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X10),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X11),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_241]) ).

fof(c_0_879_880,plain,
    ! [X10,X11,X3] :
      ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X11),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X10),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X10,X11,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_242]) ).

fof(c_0_880_881,plain,
    ! [X21,X23,X13,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_lessequals(c_Power_Opower__class_Opower(X13,X21,X3),c_Power_Opower__class_Opower(X23,X21,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X13,X3)
      | ~ c_lessequals(X13,X23,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_243]) ).

fof(c_0_881_882,plain,
    ! [X21,X28,X8,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | c_Finite__Set_Osetsum(X8,c_SetInterval_Oord__class_OatLeastLessThan(X28,c_Suc(X21),tc_nat),tc_nat,X3) = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_HOL_Oord__class_Oless(X21,X28,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_244]) ).

fof(c_0_882_883,plain,
    ! [X32,X10,X11,X3] :
      ( c_lessequals(X32,X10,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X32,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_245]) ).

fof(c_0_883_884,plain,
    ! [X32,X10,X11,X3] :
      ( c_lessequals(X32,X11,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X32,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_246]) ).

fof(c_0_884_885,plain,
    ! [X32,X10,X11,X3] :
      ( c_lessequals(X11,X32,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X32,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_247]) ).

fof(c_0_885_886,plain,
    ! [X32,X10,X11,X3] :
      ( c_lessequals(X10,X32,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X32,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_248]) ).

fof(c_0_886_887,plain,
    ! [X21,X28,X42,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(X42,X28,X3),c_SetInterval_Oord__class_OatLeastLessThan(X42,X21,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X21,X28,X3)
      | ~ c_lessequals(X42,X21,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_249]) ).

fof(c_0_887_888,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Odistrib__lattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X6,X43,X3),X7,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X6,X7,X3),c_Lattices_Olower__semilattice__class_Oinf(X43,X7,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_250]) ).

fof(c_0_888_889,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Odistrib__lattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Oupper__semilattice__class_Osup(X6,X43,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3),c_Lattices_Olower__semilattice__class_Oinf(X7,X43,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_251]) ).

fof(c_0_889_890,plain,
    ! [X7,X10,X11,X3] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X7,X11,X3),X10,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool))
      | ~ hBOOL(c_in(X7,X10,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_252]) ).

fof(c_0_890_891,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Odistrib__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X6,X43,X3),X7,X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X6,X7,X3),c_Lattices_Oupper__semilattice__class_Osup(X43,X7,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_253]) ).

fof(c_0_891_892,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Odistrib__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Olower__semilattice__class_Oinf(X6,X43,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),c_Lattices_Oupper__semilattice__class_Osup(X7,X43,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_254]) ).

fof(c_0_892_893,plain,
    ! [X7,X10,X11,X3] :
      ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)),X7))
      | ~ hBOOL(hAPP(X10,X7))
      | ~ hBOOL(hAPP(X11,X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_255]) ).

fof(c_0_893_894,plain,
    ! [X10,X11,X3] :
      ( c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X10),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_256]) ).

fof(c_0_894_895,plain,
    ! [X24,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X24,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),c_SetInterval_Oord__class_OlessThan(X24,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X24,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_257]) ).

fof(c_0_895_896,plain,
    ! [X7,X10,X11,X3] :
      ( c_lessequals(X11,c_Set_Oinsert(X7,X10,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | hBOOL(c_in(X7,X11,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_258]) ).

fof(c_0_896_897,plain,
    ! [X7,X10,X11,X3] :
      ( c_lessequals(X11,c_Set_Oinsert(X7,X10,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | hBOOL(c_in(X7,X11,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_259]) ).

fof(c_0_897_898,plain,
    ! [X6,X7,X11,X3] :
      ( hBOOL(hAPP(X11,X7))
      | X6 = X7
      | ~ hBOOL(hAPP(c_Set_Oinsert(X6,X11,X3),X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_260]) ).

fof(c_0_898_899,plain,
    ! [X13,X31,X32,X3] :
      ( c_lessequals(c_Set_Oinsert(X13,X32,X3),c_Set_Oinsert(X13,X31,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X32,X31,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_261]) ).

fof(c_0_899_900,plain,
    ! [X8,X9,X3] :
      ( c_Set_Oimage(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9) = c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool))
      | ~ c_Fun_Osurj(X8,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_262]) ).

fof(c_0_900_901,plain,
    ! [X7,X10,X11,X3] :
      ( hBOOL(c_in(X7,X10,X3))
      | ~ hBOOL(c_in(X7,X11,X3))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_263]) ).

fof(c_0_901_902,plain,
    ! [X35,X10,X11,X3] :
      ( hBOOL(c_in(X35,X10,X3))
      | ~ hBOOL(c_in(X35,X11,X3))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_264]) ).

fof(c_0_902_903,plain,
    ! [X7,X10,X11,X3] :
      ( hBOOL(c_in(X7,X10,X3))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | ~ hBOOL(c_in(X7,X11,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_265]) ).

fof(c_0_903_904,plain,
    ! [X45,X10,X11,X3] :
      ( hBOOL(c_in(X45,X10,X3))
      | ~ hBOOL(c_in(X45,X11,X3))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_266]) ).

fof(c_0_904_905,plain,
    ! [X7,X10,X11,X3] :
      ( hBOOL(c_in(X7,X10,X3))
      | ~ c_lessequals(c_Set_Oinsert(X7,X11,X3),X10,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_267]) ).

fof(c_0_905_906,axiom,
    ! [X7,X10,X11,X3] :
      ( c_Set_Oinsert(X7,X11,X3) != c_Set_Oinsert(X7,X10,X3)
      | hBOOL(c_in(X7,X10,X3))
      | hBOOL(c_in(X7,X11,X3))
      | X11 = X10 ),
    c_0_268 ).

fof(c_0_906_907,plain,
    ! [X21,X23,X13,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_Power_Opower__class_Opower(X13,c_Suc(X21),X3) != c_Power_Opower__class_Opower(X23,c_Suc(X21),X3)
      | X13 = X23
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X23,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_269]) ).

fof(c_0_907_908,plain,
    ! [X8,X9,X3] :
      ( c_Fun_Oinj__on(X8,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X9)
      | ~ c_Fun_Obij(X8,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_270]) ).

fof(c_0_908_909,plain,
    ! [X7,X22,X3] :
      ( ~ hBOOL(hAPP(X22,X7))
      | ~ hBOOL(c_in(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_271]) ).

fof(c_0_909_910,plain,
    ! [X7,X10,X11,X3] :
      ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X7))
      | ~ hBOOL(hAPP(X10,X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_272]) ).

fof(c_0_910_911,plain,
    ! [X7,X10,X11,X3] :
      ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)),X7))
      | ~ hBOOL(hAPP(X11,X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_273]) ).

fof(c_0_911_912,axiom,
    ! [X13,X10,X11,X3] :
      ( c_Lattices_Olower__semilattice__class_Oinf(X11,c_Set_Oinsert(X13,X10,X3),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool))
      | hBOOL(c_in(X13,X11,X3)) ),
    c_0_274 ).

fof(c_0_912_913,axiom,
    ! [X13,X32,X10,X3] :
      ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X13,X10,X3),X32,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X10,X32,tc_fun(X3,tc_bool))
      | hBOOL(c_in(X13,X32,X3)) ),
    c_0_275 ).

fof(c_0_913_914,axiom,
    ! [X10,X11,X3] :
      ( c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | c_lessequals(X11,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X10),tc_fun(X3,tc_bool)) ),
    c_0_276 ).

fof(c_0_914_915,plain,
    ! [X7,X22,X3] :
      ( hBOOL(hAPP(X22,X7))
      | ~ hBOOL(c_in(X7,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_277]) ).

fof(c_0_915_916,plain,
    ! [X7,X10,X11,X3] :
      ( c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | ~ c_lessequals(c_Set_Oinsert(X7,X11,X3),X10,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_278]) ).

fof(c_0_916_917,plain,
    ! [X11,X3] :
      ( X11 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X11),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_279]) ).

fof(c_0_917_918,plain,
    ! [X10,X11,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X11,c_HOL_Ominus__class_Ominus(X10,X11,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X10
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_280]) ).

fof(c_0_918_919,plain,
    ! [X7,X11,X3] :
      ( c_lessequals(c_Finite__Set_Ocard(X11,X3),c_Finite__Set_Ocard(c_Set_Oinsert(X7,X11,X3),X3),tc_nat)
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_281]) ).

fof(c_0_919_920,plain,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X13,X23,X3),X7,X3)
      | ~ c_lessequals(X23,X7,X3)
      | ~ c_lessequals(X13,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_282]) ).

fof(c_0_920_921,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X6,X43,X3),X7,X3)
      | ~ c_lessequals(X43,X7,X3)
      | ~ c_lessequals(X6,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_283]) ).

fof(c_0_921_922,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X43,X3)
      | ~ c_lessequals(X6,X43,X3)
      | ~ c_lessequals(X7,X43,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_284]) ).

fof(c_0_922_923,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X7,c_Lattices_Olower__semilattice__class_Oinf(X6,X43,X3),X3)
      | ~ c_lessequals(X7,X43,X3)
      | ~ c_lessequals(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_285]) ).

fof(c_0_923_924,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X7,c_Lattices_Olower__semilattice__class_Oinf(X6,X43,X3),X3)
      | ~ c_lessequals(X7,X43,X3)
      | ~ c_lessequals(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_286]) ).

fof(c_0_924_925,plain,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X7,c_Lattices_Olower__semilattice__class_Oinf(X13,X23,X3),X3)
      | ~ c_lessequals(X7,X23,X3)
      | ~ c_lessequals(X7,X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_287]) ).

fof(c_0_925_926,plain,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X13,X23,X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_288]) ).

fof(c_0_926_927,plain,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X13,X23,X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_289]) ).

fof(c_0_927_928,axiom,
    ! [X23,X13,X3] :
      ( c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X23,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
      | X13 = X23 ),
    c_0_290 ).

fof(c_0_928_929,plain,
    ! [X7,X11,X3] :
      ( c_Finite__Set_Ocard(c_Set_Oinsert(X7,X11,X3),X3) = c_Finite__Set_Ocard(X11,X3)
      | ~ hBOOL(c_in(X7,X11,X3))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_291]) ).

fof(c_0_929_930,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X43,X3) = c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X6,X43,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_292]) ).

fof(c_0_930_931,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X6,X43,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X7,X43,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_293]) ).

fof(c_0_931_932,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X6,X43,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X6,c_Lattices_Oupper__semilattice__class_Osup(X7,X43,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_294]) ).

fof(c_0_932_933,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X43,X3) = c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X6,X43,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_295]) ).

fof(c_0_933_934,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3),X43,X3) = c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Olower__semilattice__class_Oinf(X6,X43,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_296]) ).

fof(c_0_934_935,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Olower__semilattice__class_Oinf(X6,X43,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Olower__semilattice__class_Oinf(X7,X43,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_297]) ).

fof(c_0_935_936,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Olower__semilattice__class_Oinf(X6,X43,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X6,c_Lattices_Olower__semilattice__class_Oinf(X7,X43,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_298]) ).

fof(c_0_936_937,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3),X43,X3) = c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Olower__semilattice__class_Oinf(X6,X43,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_299]) ).

fof(c_0_937_938,plain,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X13,X23,X3)
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X13,X23,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_300]) ).

fof(c_0_938_939,plain,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X13,X23,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X13,X23,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_301]) ).

fof(c_0_939_940,plain,
    ! [X29,X28,X30,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X30,X28,X3),c_SetInterval_Oord__class_OatLeastLessThan(X28,X29,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_302]) ).

fof(c_0_940_941,plain,
    ! [X32,X10,X11,X3] :
      ( c_lessequals(X11,X32,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X10,X32,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_303]) ).

fof(c_0_941_942,plain,
    ! [X33,X6,X34,X7,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X7,X6,X3) != c_HOL_Ominus__class_Ominus(X34,X33,X3)
      | c_lessequals(X33,X34,X3)
      | ~ c_lessequals(X6,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_304]) ).

fof(c_0_942_943,plain,
    ! [X33,X6,X34,X7,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X7,X6,X3) != c_HOL_Ominus__class_Ominus(X34,X33,X3)
      | c_lessequals(X6,X7,X3)
      | ~ c_lessequals(X33,X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_305]) ).

fof(c_0_943_944,plain,
    ! [X33,X6,X34,X7,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X7,X6,X3) != c_HOL_Ominus__class_Ominus(X34,X33,X3)
      | c_HOL_Oord__class_Oless(X34,X33,X3)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_306]) ).

fof(c_0_944_945,plain,
    ! [X33,X6,X34,X7,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X7,X6,X3) != c_HOL_Ominus__class_Ominus(X34,X33,X3)
      | c_HOL_Oord__class_Oless(X7,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X34,X33,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_307]) ).

fof(c_0_945_946,plain,
    ! [X24,X42,X3] :
      ( ~ class_HOL_Oord(X3)
      | c_HOL_Oord__class_Oless(X42,X24,X3)
      | ~ hBOOL(c_in(X42,c_SetInterval_Oord__class_OlessThan(X24,X3),X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_308]) ).

fof(c_0_946_947,plain,
    ! [X29,X30,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X30,X3),c_SetInterval_Oord__class_OatLeastLessThan(X30,X29,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OlessThan(X29,X3)
      | ~ c_lessequals(X30,X29,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_309]) ).

fof(c_0_947_948,plain,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X7,X13,X3)
      | ~ c_lessequals(X7,c_Lattices_Olower__semilattice__class_Oinf(X13,X23,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_310]) ).

fof(c_0_948_949,plain,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X7,X23,X3)
      | ~ c_lessequals(X7,c_Lattices_Olower__semilattice__class_Oinf(X13,X23,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_311]) ).

fof(c_0_949_950,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X7,X6,X3)
      | ~ c_lessequals(X7,c_Lattices_Olower__semilattice__class_Oinf(X6,X43,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_312]) ).

fof(c_0_950_951,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(X7,X43,X3)
      | ~ c_lessequals(X7,c_Lattices_Olower__semilattice__class_Oinf(X6,X43,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_313]) ).

fof(c_0_951_952,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X6,X43,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X43,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_314]) ).

fof(c_0_952_953,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X7,X43,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X43,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_315]) ).

fof(c_0_953_954,plain,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X23,X7,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X13,X23,X3),X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_316]) ).

fof(c_0_954_955,plain,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X13,X7,X3)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X13,X23,X3),X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_317]) ).

fof(c_0_955_956,plain,
    ! [X11,X3] :
      ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X11),X3)
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_318]) ).

fof(c_0_956_957,plain,
    ! [X10,X11,X3] :
      ( X11 = X10
      | ~ c_lessequals(c_Finite__Set_Ocard(X10,X3),c_Finite__Set_Ocard(X11,X3),tc_nat)
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | ~ c_Finite__Set_Ofinite(X10,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_319]) ).

fof(c_0_957_958,plain,
    ! [X8,X9,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | c_Finite__Set_Osetsum(X8,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_320]) ).

fof(c_0_958_959,plain,
    ! [X23,X10,X11,X3] :
      ( c_lessequals(X11,c_Set_Oinsert(X23,X10,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_321]) ).

fof(c_0_959_960,plain,
    ! [X10,X11,X3] :
      ( c_Finite__Set_Ofinite(X11,X3)
      | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(X10,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_322]) ).

fof(c_0_960_961,plain,
    ! [X6,X7,X11,X3] :
      ( hBOOL(hAPP(c_Set_Oinsert(X6,X11,X3),X7))
      | ~ hBOOL(hAPP(X11,X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_323]) ).

fof(c_0_961_962,plain,
    ! [X3] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3),tc_nat)
      | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_324]) ).

fof(c_0_962_963,plain,
    ! [X7,X11,X3] :
      ( c_Finite__Set_Ocard(c_Set_Oinsert(X7,X11,X3),X3) = c_Suc(c_Finite__Set_Ocard(X11,X3))
      | hBOOL(c_in(X7,X11,X3))
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_325]) ).

fof(c_0_963_964,axiom,
    ! [X25,X7,X3] :
      ( hBOOL(c_in(X7,X25,X3))
      | c_Finite__Set_Ocard(c_Set_Oinsert(X7,X25,X3),X3) = c_Suc(c_Finite__Set_Ocard(X25,X3))
      | c_Finite__Set_Ocard(X25,X3) = c_HOL_Ozero__class_Ozero(tc_nat) ),
    c_0_326 ).

fof(c_0_964_965,plain,
    ! [X48,X27,X3] :
      ( c_Finite__Set_Ofinite(X27,X3)
      | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X27,X48,tc_fun(X3,tc_bool)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_327]) ).

fof(c_0_965_966,plain,
    ! [X48,X27,X3] :
      ( c_Finite__Set_Ofinite(X48,X3)
      | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X27,X48,tc_fun(X3,tc_bool)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_328]) ).

fof(c_0_966_967,plain,
    ! [X8,X11,X9,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | c_Finite__Set_Osetsum(X8,X11,X9,X3) = c_HOL_Ozero__class_Ozero(X3)
      | c_Finite__Set_Ofinite(X11,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_329]) ).

fof(c_0_967_968,plain,
    ! [X8,X11,X9,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X9)
      | c_Finite__Set_Osetsum(X8,X11,X3,X9) = c_HOL_Ozero__class_Ozero(X9)
      | c_Finite__Set_Ofinite(X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_330]) ).

fof(c_0_968_969,plain,
    ! [X17,X8,X9] :
      ( ~ class_Lattices_Olattice(X9)
      | hAPP(c_Lattices_Oupper__semilattice__class_Osup(X8,X17,tc_fun(t_a,X9)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X8,v_x),hAPP(X17,v_x),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_331]) ).

fof(c_0_969_970,plain,
    ! [X10,X11,X9] :
      ( ~ class_HOL_Ominus(X9)
      | hAPP(c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(t_a,X9)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(X11,v_x),hAPP(X10,v_x),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_332]) ).

fof(c_0_970_971,plain,
    ! [X17,X8,X9] :
      ( ~ class_Lattices_Olattice(X9)
      | hAPP(c_Lattices_Olower__semilattice__class_Oinf(X8,X17,tc_fun(t_a,X9)),v_x) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(X8,v_x),hAPP(X17,v_x),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_333]) ).

fof(c_0_971_972,plain,
    ! [X11,X3] :
      ( c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X11),X3)
      | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_334]) ).

fof(c_0_972_973,plain,
    ! [X21,X13,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Power_Opower__class_Opower(X13,X21,X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_335]) ).

fof(c_0_973_974,plain,
    ! [X21,X13,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Power_Opower__class_Opower(X13,X21,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_336]) ).

fof(c_0_974_975,plain,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X13,X23,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_337]) ).

fof(c_0_975_976,plain,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X13,X23,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_338]) ).

fof(c_0_976_977,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X7,X6,X3)
      | ~ c_lessequals(c_SetInterval_Oord__class_OlessThan(X7,X3),c_SetInterval_Oord__class_OlessThan(X6,X3),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_339]) ).

fof(c_0_977_978,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X7),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X6),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_340]) ).

fof(c_0_978_979,plain,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Lattices_Olower__semilattice__class_Oinf(X13,X23,X3)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_341]) ).

fof(c_0_979_980,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3)) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X7),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X6),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_342]) ).

fof(c_0_980_981,plain,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Lattices_Oupper__semilattice__class_Osup(X13,X23,X3)) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_343]) ).

fof(c_0_981_982,plain,
    ! [X7,X11,X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | c_lessequals(X7,c_Complete__Lattice_OSup__class_OSup(X11,X3),X3)
      | ~ hBOOL(c_in(X7,X11,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_344]) ).

fof(c_0_982_983,plain,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ominus__class_Ominus(X13,X23,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X13,X23,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_345]) ).

fof(c_0_983_984,plain,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X13,X23,X3),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X13,X23,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_346]) ).

fof(c_0_984_985,plain,
    ! [X11,X3] :
      ( c_Finite__Set_Ocard(X11,X3) != c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3)
      | X11 = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_347]) ).

fof(c_0_985_986,plain,
    ! [X24,X42,X3] :
      ( ~ class_HOL_Oord(X3)
      | hBOOL(c_in(X42,c_SetInterval_Oord__class_OlessThan(X24,X3),X3))
      | ~ c_HOL_Oord__class_Oless(X42,X24,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_348]) ).

fof(c_0_986_987,plain,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X13,X23,X3),X7,X3)
      | ~ c_lessequals(X13,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_349]) ).

fof(c_0_987_988,plain,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X13,X23,X3),X7,X3)
      | ~ c_lessequals(X23,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_350]) ).

fof(c_0_988_989,plain,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X13,X23,X3),X7,X3)
      | ~ c_HOL_Oord__class_Oless(X23,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_351]) ).

fof(c_0_989_990,plain,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X13,X23,X3),X7,X3)
      | ~ c_HOL_Oord__class_Oless(X13,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_352]) ).

fof(c_0_990_991,plain,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_HOL_Oord__class_Oless(X7,c_Lattices_Oupper__semilattice__class_Osup(X13,X23,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X7,X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_353]) ).

fof(c_0_991_992,plain,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_HOL_Oord__class_Oless(X7,c_Lattices_Oupper__semilattice__class_Osup(X13,X23,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X7,X23,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_354]) ).

fof(c_0_992_993,plain,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X7,c_Lattices_Oupper__semilattice__class_Osup(X13,X23,X3),X3)
      | ~ c_lessequals(X7,X23,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_355]) ).

fof(c_0_993_994,plain,
    ! [X7,X23,X13,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X7,c_Lattices_Oupper__semilattice__class_Osup(X13,X23,X3),X3)
      | ~ c_lessequals(X7,X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_356]) ).

fof(c_0_994_995,plain,
    ! [X10,X11,X3] :
      ( c_lessequals(c_Finite__Set_Ocard(X11,X3),c_Finite__Set_Ocard(X10,X3),tc_nat)
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | ~ c_Finite__Set_Ofinite(X10,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_357]) ).

fof(c_0_995,plain,
    ! [X10,X11,X3] :
      ( X11 = X10
      | ~ c_lessequals(X10,X11,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_358]) ).

fof(c_0_996,plain,
    ! [X10,X11,X3] :
      ( X11 = X10
      | ~ c_lessequals(X10,X11,tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_359]) ).

fof(c_0_997,plain,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X23,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3)
      | ~ c_lessequals(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_360]) ).

fof(c_0_998,plain,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),X3)
      | ~ c_lessequals(X23,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_361]) ).

fof(c_0_999,plain,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),X13,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X23,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_362]) ).

fof(c_0_1000,plain,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X23,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_363]) ).

fof(c_0_1001,plain,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X23,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3)
      | ~ c_HOL_Oord__class_Oless(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_364]) ).

fof(c_0_1002,plain,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),X3)
      | ~ c_HOL_Oord__class_Oless(X23,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_365]) ).

fof(c_0_1003,plain,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),X13,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X23,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_366]) ).

fof(c_0_1004,plain,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X23,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_367]) ).

fof(c_0_1005,plain,
    ! [X29,X30,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(X30,X3),c_SetInterval_Oord__class_OatLeastLessThan(X30,X29,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_368]) ).

fof(c_0_1006,axiom,
    ! [X10,X11,X3] :
      ( c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)) = X11 ),
    c_0_369 ).

fof(c_0_1007,plain,
    ! [X7,X17,X8,X9,X3] :
      ( ~ class_HOL_Oord(X9)
      | c_lessequals(hAPP(X8,X7),hAPP(X17,X7),X9)
      | ~ c_lessequals(X8,X17,tc_fun(X3,X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_370]) ).

fof(c_0_1008,axiom,
    ! [X25,X7,X3] :
      ( c_Set_Oinsert(X7,X25,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | hBOOL(c_in(X7,X25,X3)) ),
    c_0_371 ).

fof(c_0_1009,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X7,X43,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X43,X3)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_372]) ).

fof(c_0_1010,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X43,X7,X3)
      | ~ c_HOL_Oord__class_Oless(X43,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_373]) ).

fof(c_0_1011,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X43,X7,X3)
      | ~ c_lessequals(X43,X6,X3)
      | ~ c_lessequals(X6,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_374]) ).

fof(c_0_1012,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X43,X7,X3)
      | ~ c_lessequals(X43,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_375]) ).

fof(c_0_1013,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X43,X7,X3)
      | ~ c_HOL_Oord__class_Oless(X43,X6,X3)
      | ~ c_lessequals(X6,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_376]) ).

fof(c_0_1014,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X7,X43,X3)
      | ~ c_lessequals(X6,X43,X3)
      | ~ c_lessequals(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_377]) ).

fof(c_0_1015,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X7,X43,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X43,X3)
      | ~ c_lessequals(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_378]) ).

fof(c_0_1016,plain,
    ! [X43,X6,X7,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X7,X43,X3)
      | ~ c_lessequals(X6,X43,X3)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_379]) ).

fof(c_0_1017,plain,
    ! [X13,X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = X13 ),
    inference(fof_simplification,[status(thm)],[c_0_380]) ).

fof(c_0_1018,plain,
    ! [X11,X3] :
      ( X11 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X11,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_381]) ).

fof(c_0_1019,plain,
    ! [X13,X11,X3] :
      ( c_Set_Oinsert(X13,X11,X3) = X11
      | ~ hBOOL(c_in(X13,X11,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_382]) ).

fof(c_0_1020,plain,
    ! [X21,X28,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_lessequals(X28,X21,tc_nat)
      | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X28,X3),c_Nat_Osemiring__1__class_Oof__nat(X21,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_383]) ).

fof(c_0_1021,plain,
    ! [X21,X28,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(X28,X21,tc_nat)
      | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X28,X3),c_Nat_Osemiring__1__class_Oof__nat(X21,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_384]) ).

fof(c_0_1022,plain,
    ! [X24,X46,X42] :
      ( c_HOL_Oord__class_Oless(c_Suc(X42),X24,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X46,X24,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X42,X46,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_385]) ).

fof(c_0_1023,plain,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3)
      | ~ c_lessequals(X13,X23,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_386]) ).

fof(c_0_1024,plain,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3)
      | ~ c_HOL_Oord__class_Oless(X13,X23,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_387]) ).

fof(c_0_1025,plain,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X13,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_388]) ).

fof(c_0_1026,plain,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X13,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_389]) ).

fof(c_0_1027,plain,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X13,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_390]) ).

fof(c_0_1028,plain,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X13,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_391]) ).

fof(c_0_1029,plain,
    ! [X13,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13)
      | ~ c_HOL_Oord__class_Oless(X13,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_392]) ).

fof(c_0_1030,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(c_SetInterval_Oord__class_OlessThan(X7,X3),c_SetInterval_Oord__class_OlessThan(X6,X3),tc_fun(X3,tc_bool))
      | ~ c_lessequals(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_393]) ).

fof(c_0_1031,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_394]) ).

fof(c_0_1032,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_395]) ).

fof(c_0_1033,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_396]) ).

fof(c_0_1034,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_397]) ).

fof(c_0_1035,plain,
    ! [X23,X13,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(X13,X23,X3)
      | ~ c_HOL_Oord__class_Oless(X13,X23,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_398]) ).

fof(c_0_1036,plain,
    ! [X23,X13,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_SetInterval_Oord__class_OatLeastLessThan(X13,X23,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X13,X23,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_399]) ).

fof(c_0_1037,plain,
    ! [X24,X46,X42] :
      ( c_lessequals(X42,X24,tc_nat)
      | ~ c_lessequals(X46,X24,tc_nat)
      | ~ c_lessequals(X42,X46,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_400]) ).

fof(c_0_1038,plain,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X13,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_401]) ).

fof(c_0_1039,plain,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_lessequals(X13,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_402]) ).

fof(c_0_1040,plain,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X13,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_403]) ).

fof(c_0_1041,plain,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(X13,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_404]) ).

fof(c_0_1042,plain,
    ! [X13,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X13,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_405]) ).

fof(c_0_1043,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) != c_Orderings_Otop__class_Otop(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3) != c_Orderings_Obot__class_Obot(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X7) = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_406]) ).

fof(c_0_1044,plain,
    ! [X10,X11,X3] :
      ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(X11,X3)
      | ~ c_Finite__Set_Ofinite(X10,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_407]) ).

fof(c_0_1045,plain,
    ! [X48,X27,X3] :
      ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X27,X48,tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(X48,X3)
      | ~ c_Finite__Set_Ofinite(X27,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_408]) ).

fof(c_0_1046,plain,
    ! [X48,X27,X3] :
      ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X27,X48,tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(X48,X3)
      | ~ c_Finite__Set_Ofinite(X27,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_409]) ).

fof(c_0_1047,axiom,
    ! [X10,X11,X3] :
      ( hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X11) != hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X10)
      | X11 = X10 ),
    c_0_410 ).

fof(c_0_1048,plain,
    ! [X13,X11,X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X13,X11,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X13,c_Complete__Lattice_OSup__class_OSup(X11,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_411]) ).

fof(c_0_1049,plain,
    ! [X7,X47,X3] :
      ( hBOOL(hAPP(X47,X7))
      | ~ hBOOL(c_in(X7,X47,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_412]) ).

fof(c_0_1050,plain,
    ! [X13,X11,X3] :
      ( c_Finite__Set_Ofinite(X11,X3)
      | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X13,X11,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_413]) ).

fof(c_0_1051,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X7,X6,X3)
      | c_lessequals(X6,X7,X3)
      | ~ c_lessequals(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_414]) ).

fof(c_0_1052,plain,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_415]) ).

fof(c_0_1053,plain,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3)
      | ~ c_lessequals(X13,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_416]) ).

fof(c_0_1054,plain,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_417]) ).

fof(c_0_1055,plain,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3)
      | ~ c_HOL_Oord__class_Oless(X13,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_418]) ).

fof(c_0_1056,axiom,
    ! [X10,X11,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)) != X10
      | c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    c_0_419 ).

fof(c_0_1057,plain,
    ! [X10,X11,X3] :
      ( c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)) = X11
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_420]) ).

fof(c_0_1058,plain,
    ! [X10,X11,X3] :
      ( c_Lattices_Olower__semilattice__class_Oinf(X11,X10,tc_fun(X3,tc_bool)) = X10
      | ~ c_lessequals(X10,X11,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_421]) ).

fof(c_0_1059,plain,
    ! [X10,X11,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)) = X10
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_422]) ).

fof(c_0_1060,plain,
    ! [X10,X11,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)) = X11
      | ~ c_lessequals(X10,X11,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_423]) ).

fof(c_0_1061,plain,
    ! [X7,X44,X22,X3] :
      ( hBOOL(hAPP(X44,X7))
      | ~ hBOOL(hAPP(X22,X7))
      | ~ c_lessequals(X22,X44,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_424]) ).

fof(c_0_1062,plain,
    ! [X7,X44,X22,X3] :
      ( hBOOL(hAPP(X44,X7))
      | ~ c_lessequals(X22,X44,tc_fun(X3,tc_bool))
      | ~ hBOOL(hAPP(X22,X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_425]) ).

fof(c_0_1063,plain,
    ! [X21,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X21,tc_nat)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Nat_Osemiring__1__class_Oof__nat(X21,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_426]) ).

fof(c_0_1064,plain,
    ! [X21,X28,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X28,X3),c_Nat_Osemiring__1__class_Oof__nat(X21,X3),X3)
      | ~ c_lessequals(X28,X21,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_427]) ).

fof(c_0_1065,plain,
    ! [X21,X28,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X28,X3),c_Nat_Osemiring__1__class_Oof__nat(X21,X3),X3)
      | ~ c_HOL_Oord__class_Oless(X28,X21,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_428]) ).

fof(c_0_1066,plain,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X13,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_429]) ).

fof(c_0_1067,plain,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_lessequals(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3)
      | ~ c_lessequals(X13,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_430]) ).

fof(c_0_1068,plain,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X13,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_431]) ).

fof(c_0_1069,plain,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3)
      | ~ c_lessequals(X13,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_432]) ).

fof(c_0_1070,plain,
    ! [X13,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3)
      | ~ c_HOL_Oord__class_Oless(X13,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_433]) ).

fof(c_0_1071,plain,
    ! [X11,X9] :
      ( ~ class_HOL_Ouminus(X9)
      | hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(t_a,X9)),X11),v_x) = hAPP(c_HOL_Ouminus__class_Ouminus(X9),hAPP(X11,v_x)) ),
    inference(fof_simplification,[status(thm)],[c_0_434]) ).

fof(c_0_1072,axiom,
    ! [X10,X11,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X10 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    c_0_435 ).

fof(c_0_1073,axiom,
    ! [X10,X11,X3] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X11,X10,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | X11 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    c_0_436 ).

fof(c_0_1074,axiom,
    ! [X21,X28,X22] :
      ( hBOOL(hAPP(hAPP(X22,X21),X28))
      | c_HOL_Oord__class_Oless(X21,X28,tc_nat)
      | X28 = X21
      | c_HOL_Oord__class_Oless(X28,X21,tc_nat) ),
    c_0_437 ).

fof(c_0_1075,plain,
    ! [X10,X11,X3] :
      ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X11,X10,tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_438]) ).

fof(c_0_1076,plain,
    ! [X48,X27,X3] :
      ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X27,X48,tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(X48,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_439]) ).

fof(c_0_1077,plain,
    ! [X48,X27,X3] :
      ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X27,X48,tc_fun(X3,tc_bool)),X3)
      | ~ c_Finite__Set_Ofinite(X27,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_440]) ).

fof(c_0_1078,plain,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_HOL_Ominus__class_Ominus(X13,X23,X3)) = c_HOL_Ominus__class_Ominus(X23,X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_441]) ).

fof(c_0_1079,plain,
    ! [X21,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Nat_Osemiring__1__class_Oof__nat(X21,X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X21,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_442]) ).

fof(c_0_1080,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X7 = X6
      | ~ c_lessequals(X6,X7,X3)
      | ~ c_lessequals(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_443]) ).

fof(c_0_1081,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X7 = X6
      | ~ c_lessequals(X6,X7,X3)
      | ~ c_lessequals(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_444]) ).

fof(c_0_1082,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X7 = X6
      | ~ c_lessequals(X7,X6,X3)
      | ~ c_lessequals(X6,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_445]) ).

fof(c_0_1083,plain,
    ! [X6,X25,X7,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X25,X6,X3) != c_HOL_Ominus__class_Ominus(X7,X7,X3)
      | X25 = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_446]) ).

fof(c_0_1084,plain,
    ! [X33,X34,X7,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X7,X7,X3) != c_HOL_Ominus__class_Ominus(X34,X33,X3)
      | X34 = X33 ),
    inference(fof_simplification,[status(thm)],[c_0_447]) ).

fof(c_0_1085,plain,
    ! [X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_lessequals(X7,X7,X3)
      | ~ c_HOL_Oord__class_Oless(X7,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_448]) ).

fof(c_0_1086,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X3)
      | ~ c_lessequals(X6,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_449]) ).

fof(c_0_1087,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_lessequals(X7,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_450]) ).

fof(c_0_1088,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_lessequals(X6,X7,X3)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_451]) ).

fof(c_0_1089,plain,
    ! [X23,X13,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | ~ c_HOL_Oord__class_Oless(X13,X23,X3)
      | ~ c_HOL_Oord__class_Oless(X23,X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_452]) ).

fof(c_0_1090,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X6,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_453]) ).

fof(c_0_1091,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X6,X7,X3)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_454]) ).

fof(c_0_1092,plain,
    ! [X23,X13,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X23,X13,X3)
      | ~ c_HOL_Oord__class_Oless(X13,X23,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_455]) ).

fof(c_0_1093,plain,
    ! [X21,X28] :
      ( X21 = X28
      | ~ c_HOL_Oord__class_Oless(X21,c_Suc(X28),tc_nat)
      | ~ c_lessequals(X28,X21,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_456]) ).

fof(c_0_1094,plain,
    ! [X21,X28] :
      ( ~ c_lessequals(X28,X21,tc_nat)
      | ~ c_lessequals(c_Suc(X21),X28,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_457]) ).

fof(c_0_1095,plain,
    ! [X21,X28] :
      ( ~ c_HOL_Oord__class_Oless(X28,X21,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X21,c_Suc(X28),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_458]) ).

fof(c_0_1096,plain,
    ! [X23,X13,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_SetInterval_Oord__class_OatLeastLessThan(X13,X23,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | ~ c_lessequals(X23,X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_459]) ).

fof(c_0_1097,plain,
    ! [X21,X28] :
      ( X28 = X21
      | ~ c_lessequals(X21,X28,tc_nat)
      | ~ c_lessequals(X28,X21,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_460]) ).

fof(c_0_1098,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3),X3) = X7 ),
    inference(fof_simplification,[status(thm)],[c_0_461]) ).

fof(c_0_1099,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X3) = X7 ),
    inference(fof_simplification,[status(thm)],[c_0_462]) ).

fof(c_0_1100,plain,
    ! [X13,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3) = X13
      | c_HOL_Oord__class_Oless(X13,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_463]) ).

fof(c_0_1101,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_464]) ).

fof(c_0_1102,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_lessequals(X6,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_465]) ).

fof(c_0_1103,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(X6,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_466]) ).

fof(c_0_1104,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_467]) ).

fof(c_0_1105,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3),X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_468]) ).

fof(c_0_1106,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3),X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_469]) ).

fof(c_0_1107,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3),X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_470]) ).

fof(c_0_1108,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3),X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_471]) ).

fof(c_0_1109,plain,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3) != c_HOL_Ozero__class_Ozero(X3)
      | X13 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_472]) ).

fof(c_0_1110,plain,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X13,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13),X3) != c_HOL_Ozero__class_Ozero(X3)
      | X13 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_473]) ).

fof(c_0_1111,plain,
    ! [X10,X11,X3] :
      ( c_Finite__Set_Ofinite(X11,X3)
      | ~ c_Finite__Set_Ofinite(X10,X3)
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_474]) ).

fof(c_0_1112,plain,
    ! [X10,X11,X3] :
      ( c_Finite__Set_Ofinite(X11,X3)
      | ~ c_lessequals(X11,X10,tc_fun(X3,tc_bool))
      | ~ c_Finite__Set_Ofinite(X10,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_475]) ).

fof(c_0_1113,plain,
    ! [X7,X47,X3] :
      ( hBOOL(c_in(X7,X47,X3))
      | ~ hBOOL(hAPP(X47,X7)) ),
    inference(fof_simplification,[status(thm)],[c_0_476]) ).

fof(c_0_1114,plain,
    ! [X21,X28] :
      ( c_HOL_Oord__class_Oless(X28,X21,tc_nat)
      | ~ c_HOL_Oord__class_Oless(c_Suc(X28),c_Suc(X21),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_477]) ).

fof(c_0_1115,plain,
    ! [X21,X28] :
      ( c_lessequals(X21,X28,tc_nat)
      | ~ c_lessequals(c_Suc(X21),c_Suc(X28),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_478]) ).

fof(c_0_1116,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_HOL_Ominus__class_Ominus(X7,X6,X3) = c_Lattices_Olower__semilattice__class_Oinf(X7,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X6),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_479]) ).

fof(c_0_1117,plain,
    ! [X21,X28] :
      ( X28 = c_Suc(X21)
      | c_lessequals(X28,X21,tc_nat)
      | ~ c_lessequals(X28,c_Suc(X21),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_480]) ).

fof(c_0_1118,plain,
    ! [X23,X13,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X23,X13,X3)
      | X13 = X23
      | ~ c_lessequals(X23,X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_481]) ).

fof(c_0_1119,plain,
    ! [X23,X13,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X23,X13,X3)
      | ~ c_lessequals(X23,X13,X3)
      | X13 = X23 ),
    inference(fof_simplification,[status(thm)],[c_0_482]) ).

fof(c_0_1120,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X7 = X6
      | c_HOL_Oord__class_Oless(X7,X6,X3)
      | ~ c_lessequals(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_483]) ).

fof(c_0_1121,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X7,X6,X3)
      | X7 = X6
      | ~ c_lessequals(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_484]) ).

fof(c_0_1122,plain,
    ! [X23,X13,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X13,X23,X3)
      | X13 = X23
      | ~ c_lessequals(X13,X23,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_485]) ).

fof(c_0_1123,plain,
    ! [X23,X13,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X13,X23,X3)
      | ~ c_lessequals(X13,X23,X3)
      | X13 = X23 ),
    inference(fof_simplification,[status(thm)],[c_0_486]) ).

fof(c_0_1124,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X7 = X6
      | ~ c_lessequals(X7,X6,X3)
      | c_HOL_Oord__class_Oless(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_487]) ).

fof(c_0_1125,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X7 = X6
      | c_HOL_Oord__class_Oless(X7,X6,X3)
      | ~ c_lessequals(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_488]) ).

fof(c_0_1126,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3) != X7
      | c_lessequals(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_489]) ).

fof(c_0_1127,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) != X6
      | c_lessequals(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_490]) ).

fof(c_0_1128,plain,
    ! [X7,X21] :
      ( c_HOL_Oord__class_Oless(c_Suc(X7),c_Suc(X21),tc_nat)
      | ~ c_HOL_Oord__class_Oless(X7,X21,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_491]) ).

fof(c_0_1129,plain,
    ! [X21,X28] :
      ( c_HOL_Oord__class_Oless(c_Suc(X28),c_Suc(X21),tc_nat)
      | ~ c_HOL_Oord__class_Oless(X28,X21,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_492]) ).

fof(c_0_1130,plain,
    ! [X21,X28] :
      ( c_lessequals(c_Suc(X21),c_Suc(X28),tc_nat)
      | ~ c_lessequals(X21,X28,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_493]) ).

fof(c_0_1131,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3) = X7
      | ~ c_lessequals(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_494]) ).

fof(c_0_1132,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3) = X6
      | ~ c_lessequals(X6,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_495]) ).

fof(c_0_1133,plain,
    ! [X21,X28] :
      ( X28 = X21
      | c_HOL_Oord__class_Oless(X28,X21,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X28,c_Suc(X21),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_496]) ).

fof(c_0_1134,plain,
    ! [X21,X28] :
      ( X28 = X21
      | ~ c_HOL_Oord__class_Oless(X21,c_Suc(X28),tc_nat)
      | c_HOL_Oord__class_Oless(X21,X28,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_497]) ).

fof(c_0_1135,plain,
    ! [X21,X28] :
      ( X21 = X28
      | ~ c_HOL_Oord__class_Oless(X21,c_Suc(X28),tc_nat)
      | c_HOL_Oord__class_Oless(X21,X28,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_498]) ).

fof(c_0_1136,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) = X7
      | ~ c_lessequals(X6,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_499]) ).

fof(c_0_1137,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) = X6
      | ~ c_lessequals(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_500]) ).

fof(c_0_1138,plain,
    ! [X21,X28] :
      ( c_HOL_Oord__class_Oless(c_Suc(X28),X21,tc_nat)
      | c_Suc(X28) = X21
      | ~ c_HOL_Oord__class_Oless(X28,X21,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_501]) ).

fof(c_0_1139,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X7,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_502]) ).

fof(c_0_1140,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X7,X6,X3)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_503]) ).

fof(c_0_1141,plain,
    ! [X21,X28] :
      ( c_HOL_Oord__class_Oless(X28,X21,tc_nat)
      | ~ c_lessequals(c_Suc(X28),X21,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_504]) ).

fof(c_0_1142,plain,
    ! [X21,X28] :
      ( c_HOL_Oord__class_Oless(X21,X28,tc_nat)
      | ~ c_lessequals(c_Suc(X21),X28,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_505]) ).

fof(c_0_1143,plain,
    ! [X21,X28] :
      ( c_lessequals(X28,X21,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X28,c_Suc(X21),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_506]) ).

fof(c_0_1144,plain,
    ! [X21,X28] :
      ( c_lessequals(X28,X21,tc_nat)
      | ~ c_lessequals(c_Suc(X28),X21,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_507]) ).

fof(c_0_1145,plain,
    ! [X21,X28] :
      ( c_HOL_Oord__class_Oless(X28,X21,tc_nat)
      | ~ c_HOL_Oord__class_Oless(c_Suc(X28),X21,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_508]) ).

fof(c_0_1146,plain,
    ! [X13,X11,X3] :
      ( c_Finite__Set_Ofinite(c_Set_Oinsert(X13,X11,X3),X3)
      | ~ c_Finite__Set_Ofinite(X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_509]) ).

fof(c_0_1147,plain,
    ! [X11,X3] :
      ( c_Finite__Set_Ofinite(X11,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X11,X3),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_510]) ).

fof(c_0_1148,plain,
    ! [X28,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X28,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_511]) ).

fof(c_0_1149,plain,
    ! [X23,X13,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X13,X23,X3)
      | c_HOL_Oord__class_Oless(X13,X23,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_512]) ).

fof(c_0_1150,plain,
    ! [X23,X13,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_SetInterval_Oord__class_OatLeastLessThan(X13,X23,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
      | c_HOL_Oord__class_Oless(X13,X23,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_513]) ).

fof(c_0_1151,plain,
    ! [X21,X28] :
      ( c_HOL_Oord__class_Oless(X28,c_Suc(X21),tc_nat)
      | ~ c_lessequals(X28,X21,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_514]) ).

fof(c_0_1152,plain,
    ! [X21,X28] :
      ( c_lessequals(c_Suc(X28),X21,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X28,X21,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_515]) ).

fof(c_0_1153,plain,
    ! [X21,X28] :
      ( c_lessequals(c_Suc(X21),X28,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X21,X28,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_516]) ).

fof(c_0_1154,plain,
    ! [X7] :
      ( ~ c_lessequals(X7,X7,tc_nat)
      | c_HOL_Oord__class_Oless(X7,c_Suc(X7),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_517]) ).

fof(c_0_1155,plain,
    ! [X21,X28] :
      ( c_lessequals(X28,c_Suc(X21),tc_nat)
      | ~ c_lessequals(X28,X21,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_518]) ).

fof(c_0_1156,plain,
    ! [X21,X28] :
      ( c_HOL_Oord__class_Oless(X28,c_Suc(X21),tc_nat)
      | ~ c_HOL_Oord__class_Oless(X28,X21,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_519]) ).

fof(c_0_1157,plain,
    ! [X8,X9,X3] :
      ( c_Fun_Osurj(X8,X3,X9)
      | ~ c_Fun_Obij(X8,X3,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_520]) ).

fof(c_0_1158,plain,
    ! [X21,X28] :
      ( c_HOL_Oord__class_Oless(X28,X21,tc_nat)
      | X28 = X21
      | ~ c_lessequals(X28,X21,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_521]) ).

fof(c_0_1159,plain,
    ! [X21,X28] :
      ( X28 = X21
      | c_HOL_Oord__class_Oless(X28,X21,tc_nat)
      | ~ c_lessequals(X28,X21,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_522]) ).

fof(c_0_1160,plain,
    ! [X21,X28] :
      ( c_HOL_Oord__class_Oless(X28,X21,tc_nat)
      | X28 = X21
      | ~ c_lessequals(X28,X21,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_523]) ).

fof(c_0_1161,plain,
    ! [X6,X7] :
      ( c_lessequals(X7,X6,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X7,X6,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_524]) ).

fof(c_0_1162,plain,
    ! [X21,X28] :
      ( c_lessequals(X28,X21,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X28,X21,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_525]) ).

fof(c_0_1163,axiom,
    ! [X21,X28] :
      ( c_SetInterval_Oord__class_OatLeastLessThan(X28,c_Suc(X21),tc_nat) = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))
      | c_lessequals(X28,X21,tc_nat) ),
    c_0_526 ).

fof(c_0_1164,plain,
    ! [X11,X3] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X11,X3),tc_nat)
      | ~ c_Finite__Set_Ofinite(X11,X3)
      | X11 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_527]) ).

fof(c_0_1165,plain,
    ! [X21,X13,X3] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X3)
      | ~ class_Ring__and__Field_Ono__zero__divisors(X3)
      | ~ class_Ring__and__Field_Omult__zero(X3)
      | ~ class_Power_Opower(X3)
      | c_Power_Opower__class_Opower(X13,X21,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X13 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_528]) ).

fof(c_0_1166,plain,
    ! [X13,X3] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X3)
      | ~ class_Ring__and__Field_Ono__zero__divisors(X3)
      | ~ class_Ring__and__Field_Omult__zero(X3)
      | ~ class_Power_Opower(X3)
      | c_Power_Opower__class_Opower(X13,c_HOL_Ozero__class_Ozero(tc_nat),X3) != c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_529]) ).

fof(c_0_1167,plain,
    ! [X6,X7,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X6,X7,X3)
      | c_HOL_Oord__class_Oless(X7,X6,X3)
      | X7 = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_530]) ).

fof(c_0_1168,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X7 = X6
      | c_HOL_Oord__class_Oless(X6,X7,X3)
      | c_HOL_Oord__class_Oless(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_531]) ).

fof(c_0_1169,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X6,X7,X3)
      | c_HOL_Oord__class_Oless(X7,X6,X3)
      | X7 = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_532]) ).

fof(c_0_1170,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X6,X7,X3)
      | X7 = X6
      | c_HOL_Oord__class_Oless(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_533]) ).

fof(c_0_1171,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X7 = X6
      | c_HOL_Oord__class_Oless(X7,X6,X3)
      | c_HOL_Oord__class_Oless(X6,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_534]) ).

fof(c_0_1172,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X7,X6,X3)
      | c_lessequals(X6,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_535]) ).

fof(c_0_1173,plain,
    ! [X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X7,X7,X3)
      | c_lessequals(X7,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_536]) ).

fof(c_0_1174,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X6,X7,X3)
      | c_HOL_Oord__class_Oless(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_537]) ).

fof(c_0_1175,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X6,X7,X3)
      | c_lessequals(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_538]) ).

fof(c_0_1176,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X6,X7,X3)
      | c_lessequals(X7,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_539]) ).

fof(c_0_1177,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3) = c_Lattices_Olower__semilattice__class_Oinf(X6,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_540]) ).

fof(c_0_1178,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X3) = c_Lattices_Olower__semilattice__class_Oinf(X6,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_541]) ).

fof(c_0_1179,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) = c_Lattices_Oupper__semilattice__class_Osup(X6,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_542]) ).

fof(c_0_1180,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Olattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X3) = c_Lattices_Oupper__semilattice__class_Osup(X6,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_543]) ).

fof(c_0_1181,axiom,
    ! [X21,X28] :
      ( c_lessequals(c_Suc(X21),X28,tc_nat)
      | c_lessequals(X28,X21,tc_nat) ),
    c_0_544 ).

fof(c_0_1182,axiom,
    ! [X7] :
      ( c_HOL_Oord__class_Oless(X7,X7,tc_nat)
      | c_HOL_Oord__class_Oless(X7,c_Suc(X7),tc_nat) ),
    c_0_545 ).

fof(c_0_1183,axiom,
    ! [X21,X28] :
      ( c_HOL_Oord__class_Oless(X21,c_Suc(X28),tc_nat)
      | c_HOL_Oord__class_Oless(X28,X21,tc_nat) ),
    c_0_546 ).

fof(c_0_1184,axiom,
    ! [X21,X28] :
      ( c_HOL_Oord__class_Oless(X21,X28,tc_nat)
      | c_HOL_Oord__class_Oless(X28,X21,tc_nat)
      | X28 = X21 ),
    c_0_547 ).

fof(c_0_1185,axiom,
    ! [X6,X7] :
      ( c_HOL_Oord__class_Oless(X6,X7,tc_nat)
      | c_HOL_Oord__class_Oless(X7,X6,tc_nat)
      | X7 = X6 ),
    c_0_548 ).

fof(c_0_1186,plain,
    ! [X6,X7,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Ominus__class_Ominus(X7,X6,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X7 = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_549]) ).

fof(c_0_1187,plain,
    ! [X21] :
      ( X21 = c_HOL_Ozero__class_Ozero(tc_nat)
      | ~ c_HOL_Oord__class_Oless(X21,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_550]) ).

fof(c_0_1188,axiom,
    ! [X21,X28] :
      ( c_lessequals(X21,X28,tc_nat)
      | c_lessequals(X28,X21,tc_nat) ),
    c_0_551 ).

fof(c_0_1189,plain,
    ! [X10,X11,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X3) != c_Orderings_Obot__class_Obot(X3)
      | X11 = c_Orderings_Obot__class_Obot(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_552]) ).

fof(c_0_1190,plain,
    ! [X10,X11,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X3) != c_Orderings_Obot__class_Obot(X3)
      | X10 = c_Orderings_Obot__class_Obot(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_553]) ).

fof(c_0_1191,plain,
    ! [X21,X13,X3] :
      ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X3)
      | c_Power_Opower__class_Opower(X13,X21,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X13 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_554]) ).

fof(c_0_1192,plain,
    ! [X10,X11,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X3) != c_Orderings_Otop__class_Otop(X3)
      | X11 = c_Orderings_Otop__class_Otop(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_555]) ).

fof(c_0_1193,plain,
    ! [X10,X11,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X3) != c_Orderings_Otop__class_Otop(X3)
      | X10 = c_Orderings_Otop__class_Otop(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_556]) ).

fof(c_0_1194,plain,
    ! [X7,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X7),X3) = c_Orderings_Obot__class_Obot(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_557]) ).

fof(c_0_1195,plain,
    ! [X7,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X7),X7,X3) = c_Orderings_Obot__class_Obot(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_558]) ).

fof(c_0_1196,plain,
    ! [X7,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X7),X7,X3) = c_Orderings_Otop__class_Otop(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_559]) ).

fof(c_0_1197,plain,
    ! [X7,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X7),X3) = c_Orderings_Otop__class_Otop(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_560]) ).

fof(c_0_1198,plain,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X13,X23,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X13 = X23 ),
    inference(fof_simplification,[status(thm)],[c_0_561]) ).

fof(c_0_1199,plain,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X13,X23,X3) != c_HOL_Ozero__class_Ozero(X3)
      | X13 = X23 ),
    inference(fof_simplification,[status(thm)],[c_0_562]) ).

fof(c_0_1200,plain,
    ! [X21,X3] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X3)
      | ~ class_Ring__and__Field_Ono__zero__divisors(X3)
      | ~ class_Ring__and__Field_Omult__zero(X3)
      | ~ class_Power_Opower(X3)
      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X3),X21,X3) = c_HOL_Ozero__class_Ozero(X3)
      | X21 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_563]) ).

fof(c_0_1201,plain,
    ! [X21,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Nat_Osemiring__1__class_Oof__nat(X21,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_564]) ).

fof(c_0_1202,plain,
    ! [X28,X3] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Nat_Osemiring__1__class_Oof__nat(X28,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_565]) ).

fof(c_0_1203,plain,
    ! [X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | ~ c_HOL_Oord__class_Oless(X7,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_566]) ).

fof(c_0_1204,plain,
    ! [X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X7,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_567]) ).

fof(c_0_1205,plain,
    ! [X7,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X7,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_568]) ).

fof(c_0_1206,plain,
    ! [X21] :
      ( X21 = c_HOL_Ozero__class_Ozero(tc_nat)
      | ~ c_lessequals(X21,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_569]) ).

fof(c_0_1207,plain,
    ! [X1,X2,X3] :
      ( X2 = X1
      | ~ c_fequal(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_570]) ).

fof(c_0_1208,plain,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X3),X13,X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13) ),
    inference(fof_simplification,[status(thm)],[c_0_571]) ).

fof(c_0_1209,plain,
    ! [X21,X3] :
      ( ~ class_Ring__and__Field_Osemiring__0(X3)
      | ~ class_Power_Opower(X3)
      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X3),c_Suc(X21),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_572]) ).

fof(c_0_1210,plain,
    ! [X21,X3] :
      ( ~ class_Ring__and__Field_Osemiring__0(X3)
      | ~ class_Power_Opower(X3)
      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X3),X21,X3) = c_HOL_Ozero__class_Ozero(X3)
      | X21 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_573]) ).

fof(c_0_1211,plain,
    ! [X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) = c_Orderings_Obot__class_Obot(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_574]) ).

fof(c_0_1212,plain,
    ! [X11,X3] :
      ( c_Finite__Set_Ocard(X11,X3) != c_HOL_Ozero__class_Ozero(tc_nat)
      | ~ c_Finite__Set_Ofinite(X11,X3)
      | X11 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[c_0_575]) ).

fof(c_0_1213,plain,
    ! [X3] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
      | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3) = c_Orderings_Otop__class_Otop(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_576]) ).

fof(c_0_1214,plain,
    ! [X9] :
      ( ~ class_Orderings_Obot(X9)
      | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X9)),v_x) = c_Orderings_Obot__class_Obot(X9) ),
    inference(fof_simplification,[status(thm)],[c_0_577]) ).

fof(c_0_1215,plain,
    ! [X9] :
      ( ~ class_Orderings_Otop(X9)
      | hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X9)),v_x) = c_Orderings_Otop__class_Otop(X9) ),
    inference(fof_simplification,[status(thm)],[c_0_578]) ).

fof(c_0_1216,plain,
    ! [X3] :
      ( ~ class_Finite__Set_Ofinite_Ofinite(X3)
      | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_579]) ).

fof(c_0_1217,plain,
    ! [X7,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | c_HOL_Ominus__class_Ominus(X7,X7,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_580]) ).

fof(c_0_1218,plain,
    ! [X6,X7,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X7) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X6)
      | X7 = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_581]) ).

fof(c_0_1219,plain,
    ! [X23,X13,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23)
      | X13 = X23 ),
    inference(fof_simplification,[status(thm)],[c_0_582]) ).

fof(c_0_1220,plain,
    ! [X7,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,c_Orderings_Obot__class_Obot(X3),X3) = c_Orderings_Obot__class_Obot(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_583]) ).

fof(c_0_1221,plain,
    ! [X7,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X3),X7,X3) = c_Orderings_Obot__class_Obot(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_584]) ).

fof(c_0_1222,plain,
    ! [X7,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X3),X7,X3) = c_Orderings_Otop__class_Otop(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_585]) ).

fof(c_0_1223,plain,
    ! [X7,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Orderings_Otop__class_Otop(X3),X3) = c_Orderings_Otop__class_Otop(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_586]) ).

fof(c_0_1224,plain,
    ! [X7,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Orderings_Obot__class_Obot(X3),X3) = X7 ),
    inference(fof_simplification,[status(thm)],[c_0_587]) ).

fof(c_0_1225,plain,
    ! [X7,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X3),X7,X3) = X7 ),
    inference(fof_simplification,[status(thm)],[c_0_588]) ).

fof(c_0_1226,plain,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X13,c_HOL_Ozero__class_Ozero(X3),X3) = X13 ),
    inference(fof_simplification,[status(thm)],[c_0_589]) ).

fof(c_0_1227,plain,
    ! [X7,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X3),X7,X3) = X7 ),
    inference(fof_simplification,[status(thm)],[c_0_590]) ).

fof(c_0_1228,plain,
    ! [X7,X3] :
      ( ~ class_Lattices_Obounded__lattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,c_Orderings_Otop__class_Otop(X3),X3) = X7 ),
    inference(fof_simplification,[status(thm)],[c_0_591]) ).

fof(c_0_1229,plain,
    ! [X7,X3] :
      ( ~ class_Orderings_Obot(X3)
      | c_lessequals(c_Orderings_Obot__class_Obot(X3),X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_592]) ).

fof(c_0_1230,plain,
    ! [X7,X3] :
      ( ~ class_Orderings_Otop(X3)
      | c_lessequals(X7,c_Orderings_Otop__class_Otop(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_593]) ).

fof(c_0_1231,plain,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13)) = X13 ),
    inference(fof_simplification,[status(thm)],[c_0_594]) ).

fof(c_0_1232,plain,
    ! [X7,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X7)) = X7 ),
    inference(fof_simplification,[status(thm)],[c_0_595]) ).

fof(c_0_1233,plain,
    ! [X23,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | X23 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23)) ),
    inference(fof_simplification,[status(thm)],[c_0_596]) ).

fof(c_0_1234,plain,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | X13 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13)) ),
    inference(fof_simplification,[status(thm)],[c_0_597]) ).

fof(c_0_1235,plain,
    ! [X23,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X23)) = X23 ),
    inference(fof_simplification,[status(thm)],[c_0_598]) ).

fof(c_0_1236,plain,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X13,X13,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_599]) ).

fof(c_0_1237,plain,
    ! [X7,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ominus__class_Ominus(X7,X7,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_600]) ).

fof(c_0_1238,plain,
    ! [X7,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_HOL_Ominus__class_Ominus(X7,X7,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_601]) ).

fof(c_0_1239,plain,
    ! [X7,X3] :
      ( ~ class_Lattices_Oupper__semilattice(X3)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X7,X3) = X7 ),
    inference(fof_simplification,[status(thm)],[c_0_602]) ).

fof(c_0_1240,plain,
    ! [X7,X3] :
      ( ~ class_Lattices_Olower__semilattice(X3)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,X7,X3) = X7 ),
    inference(fof_simplification,[status(thm)],[c_0_603]) ).

fof(c_0_1241,plain,
    ! [X7,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X7,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_604]) ).

fof(c_0_1242,plain,
    ! [X7,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X7,X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_605]) ).

fof(c_0_1243,axiom,
    ! [X21] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X21,tc_nat)
      | X21 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    c_0_606 ).

fof(c_0_1244,plain,
    ! [X6,X7,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_SetInterval_Oord__class_OlessThan(X7,X3) != c_SetInterval_Oord__class_OlessThan(X6,X3)
      | X7 = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_607]) ).

fof(c_0_1245,plain,
    ! [X21,X28,X3] :
      ( ~ class_Nat_Osemiring__char__0(X3)
      | c_Nat_Osemiring__1__class_Oof__nat(X28,X3) != c_Nat_Osemiring__1__class_Oof__nat(X21,X3)
      | X28 = X21 ),
    inference(fof_simplification,[status(thm)],[c_0_608]) ).

fof(c_0_1246,plain,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13) != c_HOL_Ozero__class_Ozero(X3)
      | X13 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_609]) ).

fof(c_0_1247,plain,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ozero__class_Ozero(X3) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13)
      | c_HOL_Ozero__class_Ozero(X3) = X13 ),
    inference(fof_simplification,[status(thm)],[c_0_610]) ).

fof(c_0_1248,plain,
    ! [X13,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X13) != X13
      | X13 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_611]) ).

fof(c_0_1249,plain,
    ! [X4,X5] :
      ( class_Finite__Set_Ofinite_Ofinite(tc_fun(X4,X5))
      | ~ class_Finite__Set_Ofinite_Ofinite(X5)
      | ~ class_Finite__Set_Ofinite_Ofinite(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_612]) ).

fof(c_0_1250,plain,
    ! [X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Orderings_Otop__class_Otop(X3)) = c_Orderings_Obot__class_Obot(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_613]) ).

fof(c_0_1251,plain,
    ! [X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Orderings_Obot__class_Obot(X3)) = c_Orderings_Otop__class_Otop(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_614]) ).

fof(c_0_1252,plain,
    ! [X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_615]) ).

fof(c_0_1253,plain,
    ! [X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_616]) ).

fof(c_0_1254,plain,
    ! [X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ozero__class_Ozero(X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_HOL_Ozero__class_Ozero(X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_617]) ).

fof(c_0_1255,plain,
    ! [X4,X5] :
      ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X4,X5))
      | ~ class_Complete__Lattice_Ocomplete__lattice(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_618]) ).

fof(c_0_1256,plain,
    ! [X4,X5] :
      ( class_Lattices_Oupper__semilattice(tc_fun(X4,X5))
      | ~ class_Lattices_Olattice(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_619]) ).

fof(c_0_1257,plain,
    ! [X4,X5] :
      ( class_Lattices_Olower__semilattice(tc_fun(X4,X5))
      | ~ class_Lattices_Olattice(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_620]) ).

fof(c_0_1258,plain,
    ! [X4,X5] :
      ( class_Lattices_Odistrib__lattice(tc_fun(X4,X5))
      | ~ class_Lattices_Odistrib__lattice(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_621]) ).

fof(c_0_1259,plain,
    ! [X4,X5] :
      ( class_Lattices_Obounded__lattice(tc_fun(X4,X5))
      | ~ class_Lattices_Obounded__lattice(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_622]) ).

fof(c_0_1260,plain,
    ! [X4,X5] :
      ( class_Lattices_Oboolean__algebra(tc_fun(X4,X5))
      | ~ class_Lattices_Oboolean__algebra(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_623]) ).

fof(c_0_1261,plain,
    ! [X4,X5] :
      ( class_Orderings_Opreorder(tc_fun(X4,X5))
      | ~ class_Orderings_Opreorder(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_624]) ).

fof(c_0_1262,plain,
    ! [X4,X5] :
      ( class_Lattices_Olattice(tc_fun(X4,X5))
      | ~ class_Lattices_Olattice(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_625]) ).

fof(c_0_1263,plain,
    ! [X4,X5] :
      ( class_Orderings_Oorder(tc_fun(X4,X5))
      | ~ class_Orderings_Oorder(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_626]) ).

fof(c_0_1264,plain,
    ! [X4,X5] :
      ( class_Orderings_Otop(tc_fun(X4,X5))
      | ~ class_Orderings_Otop(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_627]) ).

fof(c_0_1265,plain,
    ! [X4,X5] :
      ( class_Orderings_Obot(tc_fun(X4,X5))
      | ~ class_Orderings_Obot(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_628]) ).

fof(c_0_1266,plain,
    ! [X4,X5] :
      ( class_HOL_Ouminus(tc_fun(X4,X5))
      | ~ class_HOL_Ouminus(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_629]) ).

fof(c_0_1267,plain,
    ! [X4,X5] :
      ( class_HOL_Ominus(tc_fun(X4,X5))
      | ~ class_HOL_Ominus(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_630]) ).

fof(c_0_1268,plain,
    ! [X4,X5] :
      ( class_HOL_Oord(tc_fun(X4,X5))
      | ~ class_HOL_Oord(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_631]) ).

fof(c_0_1269,axiom,
    ! [X11,X3] :
      ( c_Finite__Set_Ocard(X11,X3) = c_HOL_Ozero__class_Ozero(tc_nat)
      | c_Finite__Set_Ofinite(X11,X3) ),
    c_0_632 ).

fof(c_0_1270,plain,
    ! [X3] :
      ( ~ class_Ring__and__Field_Osemiring__1(X3)
      | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_633]) ).

fof(c_0_1271,plain,
    ! [X11,X3] :
      ( ~ class_Finite__Set_Ofinite_Ofinite(X3)
      | c_Finite__Set_Ofinite(X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_634]) ).

fof(c_0_1272,axiom,
    ! [X6,X7] :
      ( c_Suc(X7) != c_Suc(X6)
      | X7 = X6 ),
    c_0_635 ).

fof(c_0_1273,axiom,
    ! [X49,X50] :
      ( c_Suc(X50) != c_Suc(X49)
      | X50 = X49 ),
    c_0_636 ).

fof(c_0_1274,plain,
    ! [X18,X19,X20,X21,X22] :
      ( hAPP(X18,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X20,X19,X18,X22,X21)) != hAPP(X18,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X20,X19,X18,X22,X21))
      | hAPP(X18,hAPP(X19,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X20,X19,X18,X22,X21))) != hAPP(X18,hAPP(X19,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X20,X19,X18,X22,X21)))
      | c_Fun_Oinj__on(X18,X20,X22,X21)
      | ~ c_Fun_Oinj__on(X18,c_Set_Oimage(X19,X20,X22,X22),X22,X21)
      | ~ c_Fun_Oinj__on(X19,X20,X22,X22) ),
    inference(variable_rename,[status(thm)],[c_0_637]) ).

fof(c_0_1275,plain,
    ! [X18,X19,X20,X21,X22] :
      ( hAPP(X18,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X20,X19,X18,X22,X21)) != hAPP(X18,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X20,X19,X18,X22,X21))
      | hAPP(X18,hAPP(X19,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X20,X19,X18,X22,X21))) != hAPP(X18,hAPP(X19,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X20,X19,X18,X22,X21)))
      | c_Fun_Oinj__on(X18,c_Set_Oimage(X19,X20,X22,X22),X22,X21)
      | ~ c_Fun_Oinj__on(X18,X20,X22,X21)
      | ~ c_Fun_Oinj__on(X19,X20,X22,X22) ),
    inference(variable_rename,[status(thm)],[c_0_638]) ).

fof(c_0_1276,plain,
    ! [X19,X20,X21,X22,X23,X24,X25] :
      ( hAPP(c_Hilbert__Choice_Oinv__into(X22,c_Fun_Ocomp(X21,X20,X25,X24,X23),X23,X24),X19) = hAPP(c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(X22,X20,X23,X25),c_Hilbert__Choice_Oinv__into(c_Set_Oimage(X20,X22,X23,X25),X21,X25,X24),X25,X23,X24),X19)
      | ~ hBOOL(c_in(X19,c_Set_Oimage(X21,c_Set_Oimage(X20,X22,X23,X25),X25,X24),X24))
      | ~ c_Fun_Oinj__on(X20,X22,X23,X25)
      | ~ c_Fun_Oinj__on(X21,c_Set_Oimage(X20,X22,X23,X25),X25,X24) ),
    inference(variable_rename,[status(thm)],[c_0_639]) ).

fof(c_0_1277,plain,
    ! [X19,X20,X21,X22,X23,X24,X25] :
      ( hAPP(c_Fun_Othe__inv__into(X22,c_Fun_Ocomp(X21,X20,X25,X24,X23),X23,X24),X19) = hAPP(c_Fun_Ocomp(c_Fun_Othe__inv__into(X22,X20,X23,X25),c_Fun_Othe__inv__into(c_Set_Oimage(X20,X22,X23,X25),X21,X25,X24),X25,X23,X24),X19)
      | ~ hBOOL(c_in(X19,c_Set_Oimage(X21,c_Set_Oimage(X20,X22,X23,X25),X25,X24),X24))
      | ~ c_Fun_Oinj__on(X20,X22,X23,X25)
      | ~ c_Fun_Oinj__on(X21,c_Set_Oimage(X20,X22,X23,X25),X25,X24) ),
    inference(variable_rename,[status(thm)],[c_0_640]) ).

fof(c_0_1278,plain,
    ! [X18,X19,X20,X21,X22] :
      ( c_Fun_Oinj__on(X18,X20,X22,X21)
      | ~ c_Fun_Oinj__on(X18,c_Set_Oimage(X19,X20,X22,X22),X22,X21)
      | ~ c_Fun_Oinj__on(X19,X20,X22,X22)
      | hAPP(X18,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X20,X19,X18,X22,X21)) = hAPP(X18,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X20,X19,X18,X22,X21))
      | hAPP(X18,hAPP(X19,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X20,X19,X18,X22,X21))) = hAPP(X18,hAPP(X19,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X20,X19,X18,X22,X21))) ),
    inference(variable_rename,[status(thm)],[c_0_641]) ).

fof(c_0_1279,plain,
    ! [X18,X19,X20,X21,X22] :
      ( c_Fun_Oinj__on(X18,c_Set_Oimage(X19,X20,X22,X22),X22,X21)
      | ~ c_Fun_Oinj__on(X18,X20,X22,X21)
      | ~ c_Fun_Oinj__on(X19,X20,X22,X22)
      | hAPP(X18,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X20,X19,X18,X22,X21)) = hAPP(X18,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X20,X19,X18,X22,X21))
      | hAPP(X18,hAPP(X19,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X20,X19,X18,X22,X21))) = hAPP(X18,hAPP(X19,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X20,X19,X18,X22,X21))) ),
    inference(variable_rename,[status(thm)],[c_0_642]) ).

fof(c_0_1280,plain,
    ! [X18,X19,X20,X21,X22] :
      ( hAPP(X18,hAPP(X19,c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(X20,X19,X18,X22,X21))) != c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(X20,X19,X18,X22,X21)
      | c_Fun_Oinj__on(X19,X20,X22,X21) ),
    inference(variable_rename,[status(thm)],[c_0_643]) ).

fof(c_0_1281,plain,
    ! [X23,X24,X25,X26,X27] :
      ( hBOOL(hAPP(X25,X23))
      | ~ hBOOL(hAPP(X25,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X27,tc_bool)),X24,X27,X26),c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X25,X24,X27,X26))))
      | ~ c_Fun_Oinj__on(X24,c_Orderings_Otop__class_Otop(tc_fun(X27,tc_bool)),X27,X26) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_644])])]) ).

fof(c_0_1282,plain,
    ! [X33,X34,X35,X36,X37,X38,X39,X40] :
      ( c_Fun_Obij__betw(c_Fun_Ocomp(X33,X34,X39,X38,X40),X37,X35,X40,X38)
      | ~ c_Fun_Obij__betw(X33,X36,X35,X39,X38)
      | ~ c_Fun_Obij__betw(X34,X37,X36,X40,X39) ),
    inference(variable_rename,[status(thm)],[c_0_645]) ).

fof(c_0_1283,plain,
    ! [X18,X19,X20,X21,X22] :
      ( c_Fun_Oinj__on(X18,X20,X22,X21)
      | ~ c_Fun_Oinj__on(X18,c_Set_Oimage(X19,X20,X22,X22),X22,X21)
      | ~ c_Fun_Oinj__on(X19,X20,X22,X22)
      | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X20,X19,X18,X22,X21),X20,X22)) ),
    inference(variable_rename,[status(thm)],[c_0_646]) ).

fof(c_0_1284,plain,
    ! [X18,X19,X20,X21,X22] :
      ( c_Fun_Oinj__on(X18,X20,X22,X21)
      | ~ c_Fun_Oinj__on(X18,c_Set_Oimage(X19,X20,X22,X22),X22,X21)
      | ~ c_Fun_Oinj__on(X19,X20,X22,X22)
      | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X20,X19,X18,X22,X21),X20,X22)) ),
    inference(variable_rename,[status(thm)],[c_0_647]) ).

fof(c_0_1285,plain,
    ! [X18,X19,X20,X21,X22] :
      ( c_Fun_Oinj__on(X18,c_Set_Oimage(X19,X20,X22,X22),X22,X21)
      | ~ c_Fun_Oinj__on(X18,X20,X22,X21)
      | ~ c_Fun_Oinj__on(X19,X20,X22,X22)
      | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X20,X19,X18,X22,X21),X20,X22)) ),
    inference(variable_rename,[status(thm)],[c_0_648]) ).

fof(c_0_1286,plain,
    ! [X18,X19,X20,X21,X22] :
      ( c_Fun_Oinj__on(X18,c_Set_Oimage(X19,X20,X22,X22),X22,X21)
      | ~ c_Fun_Oinj__on(X18,X20,X22,X21)
      | ~ c_Fun_Oinj__on(X19,X20,X22,X22)
      | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X20,X19,X18,X22,X21),X20,X22)) ),
    inference(variable_rename,[status(thm)],[c_0_649]) ).

fof(c_0_1287,plain,
    ! [X19,X20,X21,X22,X23] :
      ( c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X20,X19,X23,X21,X22),c_Orderings_Otop__class_Otop(tc_fun(X22,tc_bool)),X22,X21),X21)
      | ~ c_Finite__Set_Ofinite(c_Set_Oimage(X19,c_Orderings_Otop__class_Otop(tc_fun(X22,tc_bool)),X22,X23),X23) ),
    inference(variable_rename,[status(thm)],[c_0_650]) ).

fof(c_0_1288,plain,
    ! [X14,X15,X16,X17,X18] :
      ( ~ hBOOL(c_in(hAPP(X14,X15),c_Set_Oimage(X14,c_HOL_Ominus__class_Ominus(X16,c_Set_Oinsert(X15,c_Orderings_Obot__class_Obot(tc_fun(X18,tc_bool)),X18),tc_fun(X18,tc_bool)),X18,X17),X17))
      | ~ c_Fun_Oinj__on(X14,c_Set_Oinsert(X15,X16,X18),X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_651]) ).

fof(c_0_1289,plain,
    ! [X19,X20,X21,X22,X23] :
      ( c_Fun_Ocomp(c_Fun_Ocomp(X19,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X23,tc_bool)),X20,X23,X22),X23,X21,X22),X20,X22,X21,X23) = X19
      | ~ c_Fun_Oinj__on(X20,c_Orderings_Otop__class_Otop(tc_fun(X23,tc_bool)),X23,X22) ),
    inference(variable_rename,[status(thm)],[c_0_652]) ).

fof(c_0_1290,plain,
    ! [X19,X20,X21,X22,X23] :
      ( c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X21,tc_bool)),c_Fun_Ocomp(X20,X19,X23,X22,X21),X21,X22) = c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X21,tc_bool)),X19,X21,X23),c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X23,tc_bool)),X20,X23,X22),X23,X21,X22)
      | ~ c_Fun_Obij(X19,X21,X23)
      | ~ c_Fun_Obij(X20,X23,X22) ),
    inference(variable_rename,[status(thm)],[c_0_653]) ).

fof(c_0_1291,plain,
    ! [X18,X19,X20,X21,X22] :
      ( c_Fun_Oinj__on(X19,X20,X22,X21)
      | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(X20,X19,X18,X22,X21),X20,X22)) ),
    inference(variable_rename,[status(thm)],[c_0_654]) ).

fof(c_0_1292,plain,
    ! [X12,X13,X14,X15,X16,X17] :
      ( hAPP(c_Hilbert__Choice_Oinv__into(X15,X14,X17,X16),X13) != hAPP(c_Hilbert__Choice_Oinv__into(X15,X14,X17,X16),X12)
      | X13 = X12
      | ~ hBOOL(c_in(X12,c_Set_Oimage(X14,X15,X17,X16),X16))
      | ~ hBOOL(c_in(X13,c_Set_Oimage(X14,X15,X17,X16),X16)) ),
    inference(variable_rename,[status(thm)],[c_0_655]) ).

fof(c_0_1293,plain,
    ! [X40,X41,X42,X43,X44,X45,X46,X47,X48,X49,X50] :
      ( hAPP(X45,hAPP(X43,X41)) != hAPP(X44,hAPP(X42,X40))
      | hAPP(c_Fun_Ocomp(X45,X43,X49,X50,X48),X41) = hAPP(c_Fun_Ocomp(X44,X42,X47,X50,X46),X40) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_656])])]) ).

fof(c_0_1294,plain,
    ! [X19,X20,X21,X22,X23,X24] :
      ( c_Fun_Oinj__on(X19,c_Set_Oimage(X20,X21,X24,X22),X22,X23)
      | ~ c_Fun_Oinj__on(c_Fun_Ocomp(X19,X20,X22,X23,X24),X21,X24,X23) ),
    inference(variable_rename,[status(thm)],[c_0_657]) ).

fof(c_0_1295,plain,
    ! [X12,X13,X14,X15,X16,X17] :
      ( hBOOL(c_in(hAPP(c_Fun_Othe__inv__into(X15,X13,X17,X16),X12),X14,X17))
      | ~ c_lessequals(X15,X14,tc_fun(X17,tc_bool))
      | ~ hBOOL(c_in(X12,c_Set_Oimage(X13,X15,X17,X16),X16))
      | ~ c_Fun_Oinj__on(X13,X15,X17,X16) ),
    inference(variable_rename,[status(thm)],[c_0_658]) ).

fof(c_0_1296,plain,
    ! [X17,X18,X19,X20] :
      ( ~ c_Fun_Oinj__on(X18,c_Orderings_Otop__class_Otop(tc_fun(X19,tc_bool)),X19,X20)
      | hBOOL(c_in(hAPP(X18,X17),c_Set_Oimage(X18,c_Orderings_Otop__class_Otop(tc_fun(X19,tc_bool)),X19,X20),X20))
      | hAPP(X18,X17) = hAPP(X18,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X18,X17),X18,X17,X20,X19)) ),
    inference(variable_rename,[status(thm)],[c_0_659]) ).

fof(c_0_1297,plain,
    ! [X19,X20,X21,X22,X23,X24] :
      ( c_Fun_Oinj__on(c_Fun_Ocomp(X19,X20,X23,X22,X24),X21,X24,X22)
      | ~ c_Fun_Oinj__on(X19,c_Set_Oimage(X20,X21,X24,X23),X23,X22)
      | ~ c_Fun_Oinj__on(X20,X21,X24,X23) ),
    inference(variable_rename,[status(thm)],[c_0_660]) ).

fof(c_0_1298,plain,
    ! [X14,X15,X16,X17,X18] :
      ( c_Fun_Oinj__on(X14,c_Set_Oinsert(X15,X16,X18),X18,X17)
      | hBOOL(c_in(hAPP(X14,X15),c_Set_Oimage(X14,c_HOL_Ominus__class_Ominus(X16,c_Set_Oinsert(X15,c_Orderings_Obot__class_Obot(tc_fun(X18,tc_bool)),X18),tc_fun(X18,tc_bool)),X18,X17),X17))
      | ~ c_Fun_Oinj__on(X14,X16,X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_661]) ).

fof(c_0_1299,plain,
    ! [X12,X13,X14,X15] :
      ( c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X14,c_Set_Oinsert(X13,c_Orderings_Obot__class_Obot(tc_fun(X15,tc_bool)),X15),tc_fun(X15,tc_bool)),c_Set_Oinsert(X12,c_Orderings_Obot__class_Obot(tc_fun(X15,tc_bool)),X15),tc_fun(X15,tc_bool)),X15),c_Finite__Set_Ocard(X14,X15),tc_nat)
      | ~ hBOOL(c_in(X12,X14,X15))
      | ~ hBOOL(c_in(X13,X14,X15))
      | ~ c_Finite__Set_Ofinite(X14,X15) ),
    inference(variable_rename,[status(thm)],[c_0_662]) ).

fof(c_0_1300,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_Fun_Obij__betw(X12,X14,X13,X16,X15)
      | ~ c_Fun_Obij__betw(c_FuncSet_Orestrict(X12,X14,X16,X15),X14,X13,X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_663]) ).

fof(c_0_1301,plain,
    ! [X42,X43,X44,X45,X46,X47,X48,X49,X50] :
      ( c_Fun_Ocomp(X46,X45,X48,X49,X50) != c_Fun_Ocomp(X44,X43,X47,X49,X50)
      | hAPP(X46,hAPP(X45,X42)) = hAPP(X44,hAPP(X43,X42)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_664])])]) ).

fof(c_0_1302,plain,
    ! [X12,X13,X14,X15,X16] :
      ( hBOOL(c_in(hAPP(c_Hilbert__Choice_Oinv__into(X14,X13,X15,X16),X12),X14,X15))
      | ~ hBOOL(c_in(X12,c_Set_Oimage(X13,X14,X15,X16),X16)) ),
    inference(variable_rename,[status(thm)],[c_0_665]) ).

fof(c_0_1303,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X12,c_HOL_Ominus__class_Ominus(X14,X13,tc_fun(X16,tc_bool)),X16,X15),c_Set_Oimage(X12,c_HOL_Ominus__class_Ominus(X13,X14,tc_fun(X16,tc_bool)),X16,X15),tc_fun(X15,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X15,tc_bool))
      | ~ c_Fun_Oinj__on(X12,X13,X16,X15)
      | ~ c_Fun_Oinj__on(X12,X14,X16,X15)
      | c_Fun_Oinj__on(X12,c_Lattices_Oupper__semilattice__class_Osup(X14,X13,tc_fun(X16,tc_bool)),X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_666]) ).

fof(c_0_1304,plain,
    ! [X41,X42,X43,X44,X45,X46,X47] :
      ( c_Fun_Ocomp(X44,X43,X45,X46,X47) != c_Fun_Ocomp(c_Fun_Oid(X46),X42,X46,X46,X47)
      | hAPP(X44,hAPP(X43,X41)) = hAPP(X42,X41) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_667])])]) ).

fof(c_0_1305,plain,
    ! [X19,X20,X21,X22,X23,X24] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X22)
      | c_Finite__Set_Osetsum(X19,c_Set_Oimage(X20,X21,X24,X23),X23,X22) = c_Finite__Set_Osetsum(c_Fun_Ocomp(X19,X20,X23,X22,X24),X21,X24,X22)
      | ~ c_Fun_Oinj__on(X20,X21,X24,X23) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_668])])]) ).

fof(c_0_1306,plain,
    ! [X17,X18,X19,X20] :
      ( c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X18,X17),X18,X17,X20,X19) != X17
      | ~ c_Fun_Oinj__on(X18,c_Orderings_Otop__class_Otop(tc_fun(X19,tc_bool)),X19,X20)
      | hBOOL(c_in(hAPP(X18,X17),c_Set_Oimage(X18,c_Orderings_Otop__class_Otop(tc_fun(X19,tc_bool)),X19,X20),X20)) ),
    inference(variable_rename,[status(thm)],[c_0_669]) ).

fof(c_0_1307,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_Fun_Obij__betw(c_FuncSet_Orestrict(X12,X14,X16,X15),X14,X13,X16,X15)
      | ~ c_Fun_Obij__betw(X12,X14,X13,X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_670]) ).

fof(c_0_1308,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_Fun_Obij__betw(c_Fun_Othe__inv__into(X14,X12,X16,X15),X13,X14,X15,X16)
      | ~ c_Fun_Obij__betw(X12,X14,X13,X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_671]) ).

fof(c_0_1309,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_Fun_Obij__betw(c_Hilbert__Choice_Oinv__into(X14,X12,X16,X15),X13,X14,X15,X16)
      | ~ c_Fun_Obij__betw(X12,X14,X13,X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_672]) ).

fof(c_0_1310,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_OrderedGroup_Oab__group__add(X15)
      | c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(X15),X12,X15,X15,X14),X13,X14,X15) = hAPP(c_HOL_Ouminus__class_Ouminus(X15),c_Finite__Set_Osetsum(X12,X13,X14,X15)) ),
    inference(variable_rename,[status(thm)],[c_0_673]) ).

fof(c_0_1311,plain,
    ! [X12,X13,X14,X15,X16] :
      ( hAPP(X13,hAPP(c_Fun_Othe__inv__into(X14,X13,X16,X15),X12)) = X12
      | ~ hBOOL(c_in(X12,c_Set_Oimage(X13,X14,X16,X15),X15))
      | ~ c_Fun_Oinj__on(X13,X14,X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_674]) ).

fof(c_0_1312,plain,
    ! [X10,X11,X12] :
      ( c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X12,tc_bool)),X10,X12,X11),X10,X11,X12,X12) != c_Fun_Oid(X12)
      | c_Fun_Oinj__on(X10,c_Orderings_Otop__class_Otop(tc_fun(X12,tc_bool)),X12,X11) ),
    inference(variable_rename,[status(thm)],[c_0_675]) ).

fof(c_0_1313,plain,
    ! [X24,X25,X26,X27,X28] :
      ( hAPP(X24,X26) = X25
      | ~ hBOOL(c_in(X26,c_Set_Ovimage(X24,c_Set_Oinsert(X25,c_Orderings_Obot__class_Obot(tc_fun(X27,tc_bool)),X27),X28,X27),X28)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_676])])]) ).

fof(c_0_1314,plain,
    ! [X24,X25,X26,X27] :
      ( X25 = hAPP(X24,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X25,X24,X26,X27))
      | ~ hBOOL(c_in(X25,c_Set_Oimage(X24,c_Orderings_Otop__class_Otop(tc_fun(X27,tc_bool)),X27,X26),X26))
      | ~ c_Fun_Oinj__on(X24,c_Orderings_Otop__class_Otop(tc_fun(X27,tc_bool)),X27,X26) ),
    inference(variable_rename,[status(thm)],[c_0_677]) ).

fof(c_0_1315,plain,
    ! [X10,X11,X12] :
      ( c_Fun_Ocomp(X10,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X12,tc_bool)),X10,X12,X11),X12,X11,X11) != c_Fun_Oid(X11)
      | c_Fun_Osurj(X10,X12,X11) ),
    inference(variable_rename,[status(thm)],[c_0_678]) ).

fof(c_0_1316,plain,
    ! [X17,X18,X19,X20] :
      ( ~ hBOOL(c_in(hAPP(X18,X17),c_Set_Oimage(X18,c_Orderings_Otop__class_Otop(tc_fun(X19,tc_bool)),X19,X20),X20))
      | ~ c_Fun_Oinj__on(X18,c_Orderings_Otop__class_Otop(tc_fun(X19,tc_bool)),X19,X20)
      | X17 = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(hAPP(X18,X17),X18,X20,X19) ),
    inference(variable_rename,[status(thm)],[c_0_679]) ).

fof(c_0_1317,plain,
    ! [X23,X24,X25,X26,X27] :
      ( hBOOL(hAPP(X25,X23))
      | hBOOL(c_in(c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X25,X24,X27,X26),c_Set_Oimage(X24,c_Orderings_Otop__class_Otop(tc_fun(X27,tc_bool)),X27,X26),X26))
      | ~ c_Fun_Oinj__on(X24,c_Orderings_Otop__class_Otop(tc_fun(X27,tc_bool)),X27,X26) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_680])])]) ).

fof(c_0_1318,plain,
    ! [X18,X19,X20,X21] :
      ( hAPP(X19,hAPP(X18,c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__imp__inv__eq__1__1(X19,X18,X21,X20))) != c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__imp__inv__eq__1__1(X19,X18,X21,X20)
      | ~ c_Fun_Oinj__on(X19,c_Orderings_Otop__class_Otop(tc_fun(X21,tc_bool)),X21,X20)
      | c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X21,tc_bool)),X19,X21,X20) = X18 ),
    inference(variable_rename,[status(thm)],[c_0_681]) ).

fof(c_0_1319,plain,
    ! [X12,X13,X14,X15,X16] :
      ( hAPP(X13,hAPP(c_Hilbert__Choice_Oinv__into(X14,X13,X15,X16),X12)) = X12
      | ~ hBOOL(c_in(X12,c_Set_Oimage(X13,X14,X15,X16),X16)) ),
    inference(variable_rename,[status(thm)],[c_0_682]) ).

fof(c_0_1320,plain,
    ! [X18,X19,X20,X21,X22,X23] :
      ( c_Finite__Set_Ocard(X21,X23) = c_Finite__Set_Ocard(X20,X22)
      | ~ c_Finite__Set_Ofinite(X20,X22)
      | ~ c_Finite__Set_Ofinite(X21,X23)
      | ~ c_lessequals(c_Set_Oimage(X18,X20,X22,X23),X21,tc_fun(X23,tc_bool))
      | ~ c_Fun_Oinj__on(X18,X20,X22,X23)
      | ~ c_lessequals(c_Set_Oimage(X19,X21,X23,X22),X20,tc_fun(X22,tc_bool))
      | ~ c_Fun_Oinj__on(X19,X21,X23,X22) ),
    inference(variable_rename,[status(thm)],[c_0_683]) ).

fof(c_0_1321,plain,
    ! [X19,X20,X21,X22,X23] :
      ( c_Fun_Obij(c_Fun_Ocomp(X19,X20,X22,X21,X23),X23,X21)
      | ~ c_Fun_Obij(X19,X22,X21)
      | ~ c_Fun_Obij(X20,X23,X22) ),
    inference(variable_rename,[status(thm)],[c_0_684]) ).

fof(c_0_1322,plain,
    ! [X19,X20,X21,X22,X23] :
      ( c_Fun_Osurj(c_Fun_Ocomp(X19,X20,X22,X21,X23),X23,X21)
      | ~ c_Fun_Osurj(X19,X22,X21)
      | ~ c_Fun_Osurj(X20,X23,X22) ),
    inference(variable_rename,[status(thm)],[c_0_685]) ).

fof(c_0_1323,plain,
    ! [X12,X13,X14,X15] :
      ( c_lessequals(c_Set_Oimage(X12,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X15,tc_bool)),X13),X15,X14),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X14,tc_bool)),c_Set_Oimage(X12,X13,X15,X14)),tc_fun(X14,tc_bool))
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X15,tc_bool)),X15,X14) ),
    inference(variable_rename,[status(thm)],[c_0_686]) ).

fof(c_0_1324,plain,
    ! [X14,X15,X16,X17,X18] :
      ( hBOOL(c_in(X15,X16,X18))
      | ~ hBOOL(c_in(hAPP(X14,X15),c_Set_Oimage(X14,X16,X18,X17),X17))
      | ~ c_Fun_Oinj__on(X14,c_Orderings_Otop__class_Otop(tc_fun(X18,tc_bool)),X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_687]) ).

fof(c_0_1325,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X12,c_HOL_Ominus__class_Ominus(X14,X13,tc_fun(X16,tc_bool)),X16,X15),c_Set_Oimage(X12,c_HOL_Ominus__class_Ominus(X13,X14,tc_fun(X16,tc_bool)),X16,X15),tc_fun(X15,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X15,tc_bool))
      | ~ c_Fun_Oinj__on(X12,c_Lattices_Oupper__semilattice__class_Osup(X14,X13,tc_fun(X16,tc_bool)),X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_688]) ).

fof(c_0_1326,plain,
    ! [X21,X22,X23,X24,X25,X26,X27] :
      ( hAPP(X24,X22) != hAPP(X24,X21)
      | ~ hBOOL(c_in(X21,X25,X26))
      | ~ hBOOL(c_in(X22,X25,X26))
      | ~ c_Typedef_Otype__definition(X23,X24,X25,X27,X26)
      | X22 = X21 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_689])])]) ).

fof(c_0_1327,plain,
    ! [X10,X11,X12] :
      ( c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X12,tc_bool)),X10,X12,X11),X10,X11,X12,X12) = c_Fun_Oid(X12)
      | ~ c_Fun_Oinj__on(X10,c_Orderings_Otop__class_Otop(tc_fun(X12,tc_bool)),X12,X11) ),
    inference(variable_rename,[status(thm)],[c_0_690]) ).

fof(c_0_1328,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_lessequals(X14,X13,tc_fun(X16,tc_bool))
      | ~ c_lessequals(c_Set_Oimage(X12,X14,X16,X15),c_Set_Oimage(X12,X13,X16,X15),tc_fun(X15,tc_bool))
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X16,tc_bool)),X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_691]) ).

fof(c_0_1329,plain,
    ! [X21,X22,X23,X24,X25] :
      ( c_Set_Oimage(X21,c_Orderings_Otop__class_Otop(tc_fun(X25,tc_bool)),X25,X24) = X23
      | ~ c_Typedef_Otype__definition(X21,X22,X23,X25,X24) ),
    inference(variable_rename,[status(thm)],[c_0_692]) ).

fof(c_0_1330,plain,
    ! [X21,X22,X23,X24,X25] :
      ( c_Set_Oimage(X22,X23,X24,X25) = c_Orderings_Otop__class_Otop(tc_fun(X25,tc_bool))
      | ~ c_Typedef_Otype__definition(X21,X22,X23,X25,X24) ),
    inference(variable_rename,[status(thm)],[c_0_693]) ).

fof(c_0_1331,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_Set_Oimage(X12,X14,X16,X15) = X13
      | ~ c_Fun_Obij__betw(X12,X14,X13,X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_694]) ).

fof(c_0_1332,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_Fun_Oinj__on(X12,X14,X16,X15)
      | ~ c_Fun_Obij__betw(X12,X14,X13,X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_695]) ).

fof(c_0_1333,plain,
    ! [X21,X22,X23,X24,X25,X26] :
      ( hAPP(X22,hAPP(X23,X21)) = X21
      | ~ hBOOL(c_in(X21,X24,X25))
      | ~ c_Typedef_Otype__definition(X22,X23,X24,X26,X25) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_696])])]) ).

fof(c_0_1334,plain,
    ! [X33,X34,X35,X36,X37,X38] :
      ( c_Set_Oimage(X33,c_HOL_Ominus__class_Ominus(X36,X35,tc_fun(X38,tc_bool)),X38,X37) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X33,X36,X38,X37),c_Set_Oimage(X33,X35,X38,X37),tc_fun(X37,tc_bool))
      | ~ c_lessequals(X35,X34,tc_fun(X38,tc_bool))
      | ~ c_lessequals(X36,X34,tc_fun(X38,tc_bool))
      | ~ c_Fun_Oinj__on(X33,X34,X38,X37) ),
    inference(variable_rename,[status(thm)],[c_0_697]) ).

fof(c_0_1335,plain,
    ! [X33,X34,X35,X36,X37,X38] :
      ( c_Set_Oimage(X33,c_Lattices_Olower__semilattice__class_Oinf(X36,X35,tc_fun(X38,tc_bool)),X38,X37) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X33,X36,X38,X37),c_Set_Oimage(X33,X35,X38,X37),tc_fun(X37,tc_bool))
      | ~ c_lessequals(X35,X34,tc_fun(X38,tc_bool))
      | ~ c_lessequals(X36,X34,tc_fun(X38,tc_bool))
      | ~ c_Fun_Oinj__on(X33,X34,X38,X37) ),
    inference(variable_rename,[status(thm)],[c_0_698]) ).

fof(c_0_1336,plain,
    ! [X12,X13,X14,X15] :
      ( ~ c_Fun_Oinj__on(X12,X13,X15,X14)
      | c_Fun_Obij__betw(X12,X13,c_Set_Oimage(X12,X13,X15,X14),X15,X14) ),
    inference(variable_rename,[status(thm)],[c_0_699]) ).

fof(c_0_1337,plain,
    ! [X21,X22,X23,X24,X25,X26] :
      ( hBOOL(c_in(hAPP(X22,X21),X24,X25))
      | ~ c_Typedef_Otype__definition(X22,X23,X24,X26,X25) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_700])])]) ).

fof(c_0_1338,plain,
    ! [X12,X13,X14,X15] :
      ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X14,tc_bool)),c_Set_Oimage(X12,X13,X15,X14)),c_Set_Oimage(X12,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X15,tc_bool)),X13),X15,X14),tc_fun(X14,tc_bool))
      | ~ c_Fun_Osurj(X12,X15,X14) ),
    inference(variable_rename,[status(thm)],[c_0_701]) ).

fof(c_0_1339,plain,
    ! [X12,X13,X14,X15] :
      ( c_Set_Oimage(X12,c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X15,tc_bool)),X12,X15,X14),X13,X14,X15),X15,X14) = X13
      | ~ c_Fun_Osurj(X12,X15,X14) ),
    inference(variable_rename,[status(thm)],[c_0_702]) ).

fof(c_0_1340,plain,
    ! [X52,X53,X54,X55,X56] :
      ( ~ class_OrderedGroup_Oab__group__add(X56)
      | c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X55,c_SetInterval_Oord__class_OatLeastLessThan(X54,X52,tc_nat),tc_nat,X56),c_Finite__Set_Osetsum(X55,c_SetInterval_Oord__class_OatLeastLessThan(X54,X53,tc_nat),tc_nat,X56),X56) = c_Finite__Set_Osetsum(X55,c_SetInterval_Oord__class_OatLeastLessThan(X53,X52,tc_nat),tc_nat,X56)
      | ~ c_lessequals(X53,X52,tc_nat)
      | ~ c_lessequals(X54,X53,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_703]) ).

fof(c_0_1341,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_lessequals(c_Set_Ovimage(X12,X13,X16,X15),X14,tc_fun(X16,tc_bool))
      | ~ c_lessequals(X13,c_Set_Oimage(X12,X14,X16,X15),tc_fun(X15,tc_bool))
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X16,tc_bool)),X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_704]) ).

fof(c_0_1342,plain,
    ! [X21,X22,X23,X24,X25,X26,X27] :
      ( hAPP(X23,X22) != hAPP(X23,X21)
      | ~ c_Typedef_Otype__definition(X23,X24,X25,X27,X26)
      | X22 = X21 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_705])])]) ).

fof(c_0_1343,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_Set_Oimage(X12,c_Lattices_Olower__semilattice__class_Oinf(X14,X13,tc_fun(X16,tc_bool)),X16,X15) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X12,X14,X16,X15),c_Set_Oimage(X12,X13,X16,X15),tc_fun(X15,tc_bool))
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X16,tc_bool)),X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_706]) ).

fof(c_0_1344,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_Set_Oimage(X12,c_HOL_Ominus__class_Ominus(X14,X13,tc_fun(X16,tc_bool)),X16,X15) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X12,X14,X16,X15),c_Set_Oimage(X12,X13,X16,X15),tc_fun(X15,tc_bool))
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X16,tc_bool)),X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_707]) ).

fof(c_0_1345,plain,
    ! [X21,X22,X23,X24,X25,X26] :
      ( hAPP(X23,hAPP(X22,X21)) = X21
      | ~ c_Typedef_Otype__definition(X22,X23,X24,X26,X25) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_708])])]) ).

fof(c_0_1346,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_Finite__Set_Ocard(X14,X16) = c_Finite__Set_Ocard(X13,X15)
      | ~ c_Fun_Obij__betw(X12,X14,X13,X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_709]) ).

fof(c_0_1347,plain,
    ! [X10,X11,X12] :
      ( c_Fun_Ocomp(X10,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X12,tc_bool)),X10,X12,X11),X12,X11,X11) = c_Fun_Oid(X11)
      | ~ c_Fun_Osurj(X10,X12,X11) ),
    inference(variable_rename,[status(thm)],[c_0_710]) ).

fof(c_0_1348,plain,
    ! [X14,X15,X16,X17,X18] :
      ( hBOOL(c_in(hAPP(X14,X15),X16,X17))
      | ~ hBOOL(c_in(X15,c_Set_Ovimage(X14,X16,X18,X17),X18)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_711])])]) ).

fof(c_0_1349,plain,
    ! [X14,X15,X16,X17,X18] :
      ( hBOOL(c_in(hAPP(X14,X15),X16,X17))
      | ~ hBOOL(c_in(X15,c_Set_Ovimage(X14,X16,X18,X17),X18)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_712])])]) ).

fof(c_0_1350,plain,
    ! [X10,X11,X12,X13] :
      ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X13,tc_bool)),X10,X13,X12),c_Set_Oimage(X10,X11,X13,X12),X12,X13) = X11
      | ~ c_Fun_Oinj__on(X10,c_Orderings_Otop__class_Otop(tc_fun(X13,tc_bool)),X13,X12) ),
    inference(variable_rename,[status(thm)],[c_0_713]) ).

fof(c_0_1351,plain,
    ! [X12,X13,X14,X15] :
      ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X15,tc_bool)),X12,X15,X14),c_Set_Oimage(X12,X13,X15,X14),X14,X15) = X13
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X15,tc_bool)),X15,X14) ),
    inference(variable_rename,[status(thm)],[c_0_714]) ).

fof(c_0_1352,plain,
    ! [X14,X15,X16,X17,X18] :
      ( hBOOL(c_in(hAPP(X14,X15),c_Set_Oimage(X14,X16,X18,X17),X17))
      | ~ hBOOL(c_in(X15,X16,X18))
      | ~ c_Fun_Oinj__on(X14,c_Orderings_Otop__class_Otop(tc_fun(X18,tc_bool)),X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_715]) ).

fof(c_0_1353,plain,
    ! [X48,X49,X50,X51,X52] :
      ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(X50,X48,X52,X51),c_Set_Oimage(X48,X49,X52,X51),X51,X52) = X49
      | ~ c_lessequals(X49,X50,tc_fun(X52,tc_bool))
      | ~ c_Fun_Oinj__on(X48,X50,X52,X51) ),
    inference(variable_rename,[status(thm)],[c_0_716]) ).

fof(c_0_1354,plain,
    ! [X12,X13,X14,X15,X16] :
      ( hBOOL(hAPP(X14,hAPP(X13,X12)))
      | ~ hBOOL(hAPP(c_Set_Ovimage(X13,X14,X16,X15),X12)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_717])])]) ).

fof(c_0_1355,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_lessequals(c_Set_Oimage(X12,X14,X16,X15),c_Set_Oimage(X12,X13,X16,X15),tc_fun(X15,tc_bool))
      | ~ c_lessequals(X14,X13,tc_fun(X16,tc_bool))
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X16,tc_bool)),X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_718]) ).

fof(c_0_1356,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X14,X12,X15,X16),X13,X16,X15)
      | ~ c_lessequals(X13,c_Set_Oimage(X12,X14,X15,X16),tc_fun(X16,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_719]) ).

fof(c_0_1357,plain,
    ! [X12,X13,X14,X15] :
      ( c_Set_Oimage(c_Fun_Othe__inv__into(X13,X12,X15,X14),c_Set_Oimage(X12,X13,X15,X14),X14,X15) = X13
      | ~ c_Fun_Oinj__on(X12,X13,X15,X14) ),
    inference(variable_rename,[status(thm)],[c_0_720]) ).

fof(c_0_1358,plain,
    ! [X12,X13,X14,X15] :
      ( c_Fun_Oinj__on(c_Fun_Othe__inv__into(X13,X12,X15,X14),c_Set_Oimage(X12,X13,X15,X14),X14,X15)
      | ~ c_Fun_Oinj__on(X12,X13,X15,X14) ),
    inference(variable_rename,[status(thm)],[c_0_721]) ).

fof(c_0_1359,plain,
    ! [X14,X15,X16,X17,X18] :
      ( ~ class_OrderedGroup_Oab__group__add(X17)
      | c_Finite__Set_Osetsum(X14,c_HOL_Ominus__class_Ominus(X16,c_Set_Oinsert(X15,c_Orderings_Obot__class_Obot(tc_fun(X18,tc_bool)),X18),tc_fun(X18,tc_bool)),X18,X17) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X14,X16,X18,X17),hAPP(X14,X15),X17)
      | ~ hBOOL(c_in(X15,X16,X18))
      | ~ c_Finite__Set_Ofinite(X16,X18) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_722])])]) ).

fof(c_0_1360,plain,
    ! [X14,X15,X16,X17,X18] :
      ( ~ class_Ring__and__Field_Oring(X17)
      | c_Finite__Set_Osetsum(X14,c_HOL_Ominus__class_Ominus(X16,c_Set_Oinsert(X15,c_Orderings_Obot__class_Obot(tc_fun(X18,tc_bool)),X18),tc_fun(X18,tc_bool)),X18,X17) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X14,X16,X18,X17),hAPP(X14,X15),X17)
      | ~ hBOOL(c_in(X15,X16,X18))
      | ~ c_Finite__Set_Ofinite(X16,X18) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_723])])]) ).

fof(c_0_1361,plain,
    ! [X12,X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Oab__group__add(X15)
      | c_Finite__Set_Osetsum(X12,c_HOL_Ominus__class_Ominus(X14,X13,tc_fun(X16,tc_bool)),X16,X15) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X12,X14,X16,X15),c_Finite__Set_Osetsum(X12,X13,X16,X15),X15)
      | ~ c_lessequals(X13,X14,tc_fun(X16,tc_bool))
      | ~ c_Finite__Set_Ofinite(X14,X16) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_724])])]) ).

fof(c_0_1362,plain,
    ! [X12,X13,X14] :
      ( c_Set_Oimage(X12,X13,X14,X14) = X13
      | ~ c_Fun_Oinj__on(X12,X13,X14,X14)
      | ~ c_lessequals(c_Set_Oimage(X12,X13,X14,X14),X13,tc_fun(X14,tc_bool))
      | ~ c_Finite__Set_Ofinite(X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_725]) ).

fof(c_0_1363,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_lessequals(X13,c_Set_Oimage(X12,X14,X16,X15),tc_fun(X15,tc_bool))
      | ~ c_lessequals(c_Set_Ovimage(X12,X13,X16,X15),X14,tc_fun(X16,tc_bool))
      | ~ c_Fun_Obij(X12,X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_726]) ).

fof(c_0_1364,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_lessequals(c_Set_Ovimage(X12,X13,X16,X15),X14,tc_fun(X16,tc_bool))
      | ~ c_lessequals(X13,c_Set_Oimage(X12,X14,X16,X15),tc_fun(X15,tc_bool))
      | ~ c_Fun_Obij(X12,X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_727]) ).

fof(c_0_1365,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_lessequals(X13,c_Set_Oimage(X12,X14,X16,X15),tc_fun(X15,tc_bool))
      | ~ c_lessequals(c_Set_Ovimage(X12,X13,X16,X15),X14,tc_fun(X16,tc_bool))
      | ~ c_Fun_Osurj(X12,X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_728]) ).

fof(c_0_1366,plain,
    ! [X12,X13,X14] :
      ( c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X12,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_bool)),X14),tc_fun(X14,tc_bool)),X14),c_Finite__Set_Ocard(X13,X14),tc_nat)
      | ~ hBOOL(c_in(X12,X13,X14))
      | ~ c_Finite__Set_Ofinite(X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_729]) ).

fof(c_0_1367,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_lessequals(c_Finite__Set_Ocard(X14,X16),c_Finite__Set_Ocard(X13,X15),tc_nat)
      | ~ c_Finite__Set_Ofinite(X13,X15)
      | ~ c_lessequals(c_Set_Oimage(X12,X14,X16,X15),X13,tc_fun(X15,tc_bool))
      | ~ c_Fun_Oinj__on(X12,X14,X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_730]) ).

fof(c_0_1368,plain,
    ! [X27,X28] :
      ( c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(X27,X28),X27,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X27,X28),tc_nat),X28,tc_nat)
      | ~ c_Finite__Set_Ofinite(X27,X28) ),
    inference(variable_rename,[status(thm)],[c_0_731]) ).

fof(c_0_1369,plain,
    ! [X27,X28] :
      ( c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__nat__finite__1__1(X27,X28),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X27,X28),tc_nat),X27,tc_nat,X28)
      | ~ c_Finite__Set_Ofinite(X27,X28) ),
    inference(variable_rename,[status(thm)],[c_0_732]) ).

fof(c_0_1370,plain,
    ! [X12,X13,X14,X15] :
      ( c_Fun_Oinj__on(X12,X13,X15,X14)
      | ~ c_Fun_Oinj__on(c_FuncSet_Orestrict(X12,X13,X15,X14),X13,X15,X14) ),
    inference(variable_rename,[status(thm)],[c_0_733]) ).

fof(c_0_1371,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_Set_Oimage(X12,X14,X16,X15) != c_Set_Oimage(X12,X13,X16,X15)
      | ~ c_Fun_Oinj__on(X12,c_Lattices_Oupper__semilattice__class_Osup(X14,X13,tc_fun(X16,tc_bool)),X16,X15)
      | X14 = X13 ),
    inference(variable_rename,[status(thm)],[c_0_734]) ).

fof(c_0_1372,plain,
    ! [X16,X17,X18,X19,X20] :
      ( c_List_Omap(X18,c_List_OremoveAll(X17,X16,X20),X20,X19) = c_List_OremoveAll(hAPP(X18,X17),c_List_Omap(X18,X16,X20,X19),X19)
      | ~ c_Fun_Oinj__on(X18,c_Orderings_Otop__class_Otop(tc_fun(X20,tc_bool)),X20,X19) ),
    inference(variable_rename,[status(thm)],[c_0_735]) ).

fof(c_0_1373,plain,
    ! [X11,X12,X13,X14] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X13)
      | c_Finite__Set_Osetsum(X11,X12,X14,X13) = c_Finite__Set_Osetsum(c_Fun_Oid(X13),c_Set_Oimage(X11,X12,X14,X13),X13,X13)
      | ~ c_Fun_Oinj__on(X11,X12,X14,X13) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_736])])]) ).

fof(c_0_1374,plain,
    ! [X12,X13,X14] :
      ( c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X12,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_bool)),X14),tc_fun(X14,tc_bool)),X14)) = c_Finite__Set_Ocard(X13,X14)
      | ~ hBOOL(c_in(X12,X13,X14))
      | ~ c_Finite__Set_Ofinite(X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_737]) ).

fof(c_0_1375,plain,
    ! [X12,X13,X14,X15] :
      ( c_lessequals(X14,c_Set_Oinsert(X12,X13,X15),tc_fun(X15,tc_bool))
      | ~ hBOOL(c_in(X12,X14,X15))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X14,c_Set_Oinsert(X12,c_Orderings_Obot__class_Obot(tc_fun(X15,tc_bool)),X15),tc_fun(X15,tc_bool)),X13,tc_fun(X15,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_738]) ).

fof(c_0_1376,plain,
    ! [X12,X13,X14,X15] :
      ( c_lessequals(X14,c_Set_Oinsert(X12,X13,X15),tc_fun(X15,tc_bool))
      | ~ hBOOL(c_in(X12,X14,X15))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X14,c_Set_Oinsert(X12,c_Orderings_Obot__class_Obot(tc_fun(X15,tc_bool)),X15),tc_fun(X15,tc_bool)),X13,tc_fun(X15,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_739]) ).

fof(c_0_1377,plain,
    ! [X14,X15,X16,X17,X18] :
      ( hBOOL(c_in(X15,c_Set_Ovimage(X14,X16,X18,X17),X18))
      | ~ hBOOL(c_in(hAPP(X14,X15),X16,X17)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_740])])]) ).

fof(c_0_1378,plain,
    ! [X14,X15,X16,X17,X18] :
      ( hBOOL(c_in(X15,c_Set_Ovimage(X14,X16,X17,X18),X17))
      | ~ hBOOL(c_in(hAPP(X14,X15),X16,X18)) ),
    inference(variable_rename,[status(thm)],[c_0_741]) ).

fof(c_0_1379,plain,
    ! [X14,X15,X16,X17,X18] :
      ( hBOOL(c_in(X15,c_Set_Ovimage(X14,X16,X17,X18),X17))
      | ~ hBOOL(c_in(hAPP(X14,X15),X16,X18)) ),
    inference(variable_rename,[status(thm)],[c_0_742]) ).

fof(c_0_1380,plain,
    ! [X12,X13,X14,X15] :
      ( c_lessequals(X14,c_Set_Oinsert(X12,X13,X15),tc_fun(X15,tc_bool))
      | ~ c_lessequals(X14,X13,tc_fun(X15,tc_bool))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X14,c_Set_Oinsert(X12,c_Orderings_Obot__class_Obot(tc_fun(X15,tc_bool)),X15),tc_fun(X15,tc_bool)),X13,tc_fun(X15,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_743]) ).

fof(c_0_1381,plain,
    ! [X17,X18,X19,X20,X21] :
      ( ~ hBOOL(c_in(X17,X19,X20))
      | hBOOL(c_in(hAPP(X18,X17),c_Set_Oimage(X18,X19,X20,X21),X21)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_744])])]) ).

fof(c_0_1382,plain,
    ! [X12,X13,X14,X15,X16] :
      ( ~ hBOOL(c_in(X12,X14,X15))
      | hBOOL(c_in(hAPP(X13,X12),c_Set_Oimage(X13,X14,X15,X16),X16)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_745])])]) ).

fof(c_0_1383,plain,
    ! [X12,X13,X14,X15,X16] :
      ( hBOOL(c_in(hAPP(X13,X12),c_Set_Oimage(X13,X14,X15,X16),X16))
      | ~ hBOOL(c_in(X12,X14,X15)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_746])])]) ).

fof(c_0_1384,plain,
    ! [X12,X13,X14,X15,X16] :
      ( hBOOL(c_in(hAPP(X13,X12),c_Set_Oimage(X13,X14,X16,X15),X15))
      | ~ hBOOL(c_in(X12,X14,X16)) ),
    inference(variable_rename,[status(thm)],[c_0_747]) ).

fof(c_0_1385,plain,
    ! [X12,X13,X14] :
      ( c_Finite__Set_Ocard(c_Set_Oinsert(X12,X13,X14),X14) = c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X12,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_bool)),X14),tc_fun(X14,tc_bool)),X14))
      | ~ c_Finite__Set_Ofinite(X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_748]) ).

fof(c_0_1386,plain,
    ! [X10,X11,X12,X13] :
      ( hAPP(X11,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X13,tc_bool)),X11,X13,X12),X10)) = X10
      | ~ c_Fun_Osurj(X11,X13,X12) ),
    inference(variable_rename,[status(thm)],[c_0_749]) ).

fof(c_0_1387,plain,
    ! [X12,X13,X14] :
      ( c_lessequals(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X12,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_bool)),X14),tc_fun(X14,tc_bool)),X14),c_Finite__Set_Ocard(X13,X14),tc_nat)
      | ~ c_Finite__Set_Ofinite(X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_750]) ).

fof(c_0_1388,plain,
    ! [X16,X17,X18,X19,X20] :
      ( c_List_Omap(X18,X17,X20,X19) != c_List_Omap(X18,X16,X20,X19)
      | ~ c_Fun_Oinj__on(X18,c_Orderings_Otop__class_Otop(tc_fun(X20,tc_bool)),X20,X19)
      | X17 = X16 ),
    inference(variable_rename,[status(thm)],[c_0_751]) ).

fof(c_0_1389,plain,
    ! [X16,X17,X18,X19,X20] :
      ( c_List_Omap(X18,X17,X19,X20) != c_List_Omap(X18,X16,X19,X20)
      | X17 = X16
      | ~ c_Fun_Oinj__on(X18,c_Orderings_Otop__class_Otop(tc_fun(X19,tc_bool)),X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_752]) ).

fof(c_0_1390,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_Set_Oimage(X12,X14,X16,X15) != c_Set_Oimage(X12,X13,X16,X15)
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X16,tc_bool)),X16,X15)
      | X14 = X13 ),
    inference(variable_rename,[status(thm)],[c_0_753]) ).

fof(c_0_1391,plain,
    ! [X12,X13,X14,X15,X16,X17] :
      ( hBOOL(c_in(hAPP(X13,X12),X14,X17))
      | ~ hBOOL(c_in(X12,X15,X16))
      | ~ c_lessequals(c_Set_Oimage(X13,X15,X16,X17),X14,tc_fun(X17,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_754]) ).

fof(c_0_1392,plain,
    ! [X12,X13,X14,X15] :
      ( c_Set_Ovimage(X12,c_Set_Oimage(X12,X13,X15,X14),X15,X14) = X13
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X15,tc_bool)),X15,X14) ),
    inference(variable_rename,[status(thm)],[c_0_755]) ).

fof(c_0_1393,plain,
    ! [X14,X15,X16,X17,X18] :
      ( ~ class_OrderedGroup_Oab__group__add(X17)
      | c_Finite__Set_Osetsum(X14,c_HOL_Ominus__class_Ominus(X16,c_Set_Oinsert(X15,c_Orderings_Obot__class_Obot(tc_fun(X18,tc_bool)),X18),tc_fun(X18,tc_bool)),X18,X17) = c_Finite__Set_Osetsum(X14,X16,X18,X17)
      | hBOOL(c_in(X15,X16,X18))
      | ~ c_Finite__Set_Ofinite(X16,X18) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_756])])]) ).

fof(c_0_1394,plain,
    ! [X12,X13,X14,X15] :
      ( c_Finite__Set_Ofinite(X13,X14)
      | ~ c_Fun_Oinj__on(X12,X13,X14,X15)
      | ~ c_Finite__Set_Ofinite(c_Set_Oimage(X12,X13,X14,X15),X15) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_757])])]) ).

fof(c_0_1395,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_lessequals(c_Set_Ovimage(X12,X14,X15,X16),c_Set_Ovimage(X12,X13,X15,X16),tc_fun(X15,tc_bool))
      | ~ c_lessequals(X14,X13,tc_fun(X16,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_758]) ).

fof(c_0_1396,plain,
    ! [X12,X13,X14,X15,X16] :
      ( ~ c_lessequals(X12,X14,tc_fun(X15,tc_bool))
      | c_lessequals(c_Set_Oimage(X13,X12,X15,X16),c_Set_Oimage(X13,X14,X15,X16),tc_fun(X16,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_759])])]) ).

fof(c_0_1397,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_lessequals(c_Set_Oimage(X12,X14,X16,X15),c_Set_Oimage(X12,X13,X16,X15),tc_fun(X15,tc_bool))
      | ~ c_lessequals(X14,X13,tc_fun(X16,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_760]) ).

fof(c_0_1398,plain,
    ! [X13] :
      ( c_Set_Oimage(X13,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) != c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)
      | ~ c_Fun_Oinj__on(X13,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)
      | v_thesis____ ),
    inference(variable_rename,[status(thm)],[c_0_761]) ).

fof(c_0_1399,plain,
    ! [X12,X13,X14,X15] :
      ( c_Set_Ovimage(X12,X13,X15,X14) = c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X15,tc_bool)),X12,X15,X14),X13,X14,X15)
      | ~ c_Fun_Obij(X12,X15,X14) ),
    inference(variable_rename,[status(thm)],[c_0_762]) ).

fof(c_0_1400,plain,
    ! [X12,X13,X14] :
      ( c_Fun_Oinj__on(X12,X13,X14,X14)
      | ~ c_lessequals(X13,c_Set_Oimage(X12,X13,X14,X14),tc_fun(X14,tc_bool))
      | ~ c_Finite__Set_Ofinite(X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_763]) ).

fof(c_0_1401,plain,
    ! [X12,X13,X14,X15,X16] :
      ( hBOOL(hAPP(c_Set_Ovimage(X13,X14,X16,X15),X12))
      | ~ hBOOL(hAPP(X14,hAPP(X13,X12))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_764])])]) ).

fof(c_0_1402,plain,
    ! [X12,X13,X14,X15] :
      ( c_Fun_Oinj__on(c_FuncSet_Orestrict(X12,X13,X15,X14),X13,X15,X14)
      | ~ c_Fun_Oinj__on(X12,X13,X15,X14) ),
    inference(variable_rename,[status(thm)],[c_0_765]) ).

fof(c_0_1403,plain,
    ! [X10,X11,X12] :
      ( c_Fun_Osurj(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X12,tc_bool)),X10,X12,X11),X11,X12)
      | ~ c_Fun_Oinj__on(X10,c_Orderings_Otop__class_Otop(tc_fun(X12,tc_bool)),X12,X11) ),
    inference(variable_rename,[status(thm)],[c_0_766]) ).

fof(c_0_1404,plain,
    ! [X12,X13,X14,X15] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X14,c_Set_Oinsert(X12,c_Orderings_Obot__class_Obot(tc_fun(X15,tc_bool)),X15),tc_fun(X15,tc_bool)),X13,tc_fun(X15,tc_bool))
      | ~ hBOOL(c_in(X12,X14,X15))
      | ~ c_lessequals(X14,c_Set_Oinsert(X12,X13,X15),tc_fun(X15,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_767]) ).

fof(c_0_1405,plain,
    ! [X12,X13,X14,X15] :
      ( c_lessequals(c_Finite__Set_Ocard(c_Set_Oimage(X12,X13,X15,X14),X14),c_Finite__Set_Ocard(X13,X15),tc_nat)
      | ~ c_Finite__Set_Ofinite(X13,X15) ),
    inference(variable_rename,[status(thm)],[c_0_768]) ).

fof(c_0_1406,plain,
    ! [X17,X18,X19,X20] :
      ( ~ c_Fun_Oinj__on(X18,c_Orderings_Otop__class_Otop(tc_fun(X19,tc_bool)),X19,X20)
      | hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X19,tc_bool)),X18,X19,X20),hAPP(X18,X17)) = X17 ),
    inference(variable_rename,[status(thm)],[c_0_769]) ).

fof(c_0_1407,plain,
    ! [X10,X11,X12,X13] :
      ( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X13,tc_bool)),X11,X13,X12),hAPP(X11,X10)) = X10
      | ~ c_Fun_Oinj__on(X11,c_Orderings_Otop__class_Otop(tc_fun(X13,tc_bool)),X13,X12) ),
    inference(variable_rename,[status(thm)],[c_0_770]) ).

fof(c_0_1408,plain,
    ! [X10,X11,X12,X13] :
      ( hAPP(c_Fun_Othe__inv__into(c_Orderings_Otop__class_Otop(tc_fun(X13,tc_bool)),X11,X13,X12),hAPP(X11,X10)) = X10
      | ~ c_Fun_Oinj__on(X11,c_Orderings_Otop__class_Otop(tc_fun(X13,tc_bool)),X13,X12) ),
    inference(variable_rename,[status(thm)],[c_0_771]) ).

fof(c_0_1409,plain,
    ! [X12,X13,X14,X15,X16] :
      ( hAPP(c_Hilbert__Choice_Oinv__into(X14,X13,X16,X15),hAPP(X13,X12)) = X12
      | ~ hBOOL(c_in(X12,X14,X16))
      | ~ c_Fun_Oinj__on(X13,X14,X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_772]) ).

fof(c_0_1410,plain,
    ! [X17,X18,X19,X20,X21] :
      ( ~ hBOOL(c_in(X17,X19,X20))
      | ~ c_Fun_Oinj__on(X18,X19,X20,X21)
      | hAPP(c_Hilbert__Choice_Oinv__into(X19,X18,X20,X21),hAPP(X18,X17)) = X17 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_773])])]) ).

fof(c_0_1411,plain,
    ! [X12,X13,X14,X15,X16] :
      ( hAPP(c_Fun_Othe__inv__into(X14,X13,X16,X15),hAPP(X13,X12)) = X12
      | ~ hBOOL(c_in(X12,X14,X16))
      | ~ c_Fun_Oinj__on(X13,X14,X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_774]) ).

fof(c_0_1412,plain,
    ! [X17,X18,X19,X20,X21] :
      ( ~ c_Fun_Oinj__on(X18,X19,X20,X21)
      | hAPP(c_Fun_Othe__inv__into(X19,X18,X20,X21),hAPP(X18,X17)) = X17
      | ~ hBOOL(c_in(X17,X19,X20)) ),
    inference(variable_rename,[status(thm)],[c_0_775]) ).

fof(c_0_1413,plain,
    ! [X12,X13,X14,X15] :
      ( c_Finite__Set_Ocard(c_Set_Oimage(X12,X13,X15,X14),X14) != c_Finite__Set_Ocard(X13,X15)
      | ~ c_Finite__Set_Ofinite(X13,X15)
      | c_Fun_Oinj__on(X12,X13,X15,X14) ),
    inference(variable_rename,[status(thm)],[c_0_776]) ).

fof(c_0_1414,plain,
    ! [X12,X13,X14,X15] :
      ( c_Set_Oimage(X12,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X15,tc_bool)),X13),X15,X14) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X14,tc_bool)),c_Set_Oimage(X12,X13,X15,X14))
      | ~ c_Fun_Obij(X12,X15,X14) ),
    inference(variable_rename,[status(thm)],[c_0_777]) ).

fof(c_0_1415,plain,
    ! [X28,X29,X30,X31] :
      ( c_Finite__Set_Ofinite(c_Set_Ovimage(X28,X29,X30,X31),X30)
      | ~ c_Fun_Oinj__on(X28,c_Orderings_Otop__class_Otop(tc_fun(X30,tc_bool)),X30,X31)
      | ~ c_Finite__Set_Ofinite(X29,X31) ),
    inference(variable_rename,[status(thm)],[c_0_778]) ).

fof(c_0_1416,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_Set_Oinsert(hAPP(X13,X12),c_Set_Oimage(X13,X14,X16,X15),X15) = c_Set_Oimage(X13,X14,X16,X15)
      | ~ hBOOL(c_in(X12,X14,X16)) ),
    inference(variable_rename,[status(thm)],[c_0_779]) ).

fof(c_0_1417,plain,
    ! [X10,X11,X12] :
      ( c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X11,tc_bool)),c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X12,tc_bool)),X10,X12,X11),X11,X12) = X10
      | ~ c_Fun_Obij(X10,X12,X11) ),
    inference(variable_rename,[status(thm)],[c_0_780]) ).

fof(c_0_1418,plain,
    ! [X10,X11,X12] :
      ( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X12,tc_bool)),X10,X12,X11),c_Orderings_Otop__class_Otop(tc_fun(X11,tc_bool)),X11,X12)
      | ~ c_Fun_Osurj(X10,X12,X11) ),
    inference(variable_rename,[status(thm)],[c_0_781]) ).

fof(c_0_1419,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_Finite__Set_Ofinite(X13,X15)
      | ~ c_lessequals(X13,c_Set_Oimage(X12,X14,X16,X15),tc_fun(X15,tc_bool))
      | ~ c_Finite__Set_Ofinite(X14,X16) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_782])])]) ).

fof(c_0_1420,plain,
    ! [X12,X13,X14,X15] :
      ( c_Finite__Set_Ocard(c_Set_Oimage(X12,X13,X15,X14),X14) = c_Finite__Set_Ocard(X13,X15)
      | ~ c_Fun_Oinj__on(X12,X13,X15,X14)
      | ~ c_Finite__Set_Ofinite(X13,X15) ),
    inference(variable_rename,[status(thm)],[c_0_783]) ).

fof(c_0_1421,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Lattices_Olattice(X47)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X46,X45,X47),c_Lattices_Olower__semilattice__class_Oinf(X46,X44,X47),X47),c_Lattices_Olower__semilattice__class_Oinf(X46,c_Lattices_Oupper__semilattice__class_Osup(X45,X44,X47),X47),X47) ),
    inference(variable_rename,[status(thm)],[c_0_784]) ).

fof(c_0_1422,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Lattices_Olattice(X47)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X46,c_Lattices_Olower__semilattice__class_Oinf(X45,X44,X47),X47),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X46,X45,X47),c_Lattices_Oupper__semilattice__class_Osup(X46,X44,X47),X47),X47) ),
    inference(variable_rename,[status(thm)],[c_0_785]) ).

fof(c_0_1423,plain,
    ! [X12,X13,X14,X15] :
      ( c_Finite__Set_Ocard(c_Set_Oimage(X12,X13,X15,X14),X14) = c_Finite__Set_Ocard(X13,X15)
      | ~ c_Fun_Oinj__on(X12,X13,X15,X14) ),
    inference(variable_rename,[status(thm)],[c_0_786]) ).

fof(c_0_1424,plain,
    ! [X28,X29,X30,X31] :
      ( c_Finite__Set_Ofinite(X29,X30)
      | ~ c_Fun_Osurj(X28,X31,X30)
      | ~ c_Finite__Set_Ofinite(c_Set_Ovimage(X28,X29,X31,X30),X31) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_787])])]) ).

fof(c_0_1425,plain,
    ! [X28,X29,X30,X31] :
      ( c_Finite__Set_Ofinite(X29,X30)
      | ~ c_Finite__Set_Ofinite(c_Set_Ovimage(X28,X29,X31,X30),X31)
      | ~ c_Fun_Obij(X28,X31,X30) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_788])])]) ).

fof(c_0_1426,plain,
    ! [X36,X37,X38,X39] :
      ( hBOOL(c_in(X36,X37,X39))
      | hBOOL(c_in(X36,X38,X39))
      | ~ hBOOL(c_in(X36,c_Lattices_Oupper__semilattice__class_Osup(X38,X37,tc_fun(X39,tc_bool)),X39)) ),
    inference(variable_rename,[status(thm)],[c_0_789]) ).

fof(c_0_1427,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_Fun_Oinj__on(X12,X13,X16,X15)
      | ~ c_Fun_Oinj__on(X12,c_Lattices_Oupper__semilattice__class_Osup(X14,X13,tc_fun(X16,tc_bool)),X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_790]) ).

fof(c_0_1428,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_Fun_Oinj__on(X12,X14,X16,X15)
      | ~ c_Fun_Oinj__on(X12,c_Lattices_Oupper__semilattice__class_Osup(X14,X13,tc_fun(X16,tc_bool)),X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_791]) ).

fof(c_0_1429,plain,
    ! [X24,X25,X26] :
      ( X24 = X25
      | ~ hBOOL(c_in(X24,c_Set_Oinsert(X25,c_Orderings_Obot__class_Obot(tc_fun(X26,tc_bool)),X26),X26)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_792])])]) ).

fof(c_0_1430,plain,
    ! [X42,X43,X44,X45,X46] :
      ( c_Set_Oinsert(X45,c_Set_Oinsert(X44,c_Orderings_Obot__class_Obot(tc_fun(X46,tc_bool)),X46),X46) != c_Set_Oinsert(X43,c_Set_Oinsert(X42,c_Orderings_Obot__class_Obot(tc_fun(X46,tc_bool)),X46),X46)
      | X45 = X42
      | X45 = X43 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_793])])]) ).

fof(c_0_1431,plain,
    ! [X42,X43,X44,X45,X46] :
      ( c_Set_Oinsert(X45,c_Set_Oinsert(X44,c_Orderings_Obot__class_Obot(tc_fun(X46,tc_bool)),X46),X46) != c_Set_Oinsert(X43,c_Set_Oinsert(X42,c_Orderings_Obot__class_Obot(tc_fun(X46,tc_bool)),X46),X46)
      | X44 = X43
      | X45 = X43 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_794])])]) ).

fof(c_0_1432,plain,
    ! [X42,X43,X44,X45,X46] :
      ( c_Set_Oinsert(X45,c_Set_Oinsert(X44,c_Orderings_Obot__class_Obot(tc_fun(X46,tc_bool)),X46),X46) != c_Set_Oinsert(X43,c_Set_Oinsert(X42,c_Orderings_Obot__class_Obot(tc_fun(X46,tc_bool)),X46),X46)
      | X45 = X42
      | X44 = X42 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_795])])]) ).

fof(c_0_1433,plain,
    ! [X42,X43,X44,X45,X46] :
      ( c_Set_Oinsert(X45,c_Set_Oinsert(X44,c_Orderings_Obot__class_Obot(tc_fun(X46,tc_bool)),X46),X46) != c_Set_Oinsert(X43,c_Set_Oinsert(X42,c_Orderings_Obot__class_Obot(tc_fun(X46,tc_bool)),X46),X46)
      | X44 = X43
      | X44 = X42 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_796])])]) ).

fof(c_0_1434,plain,
    ! [X36,X37,X38,X39] :
      ( ~ hBOOL(c_in(X36,X37,X39))
      | ~ hBOOL(c_in(X36,c_HOL_Ominus__class_Ominus(X38,X37,tc_fun(X39,tc_bool)),X39)) ),
    inference(variable_rename,[status(thm)],[c_0_797]) ).

fof(c_0_1435,plain,
    ! [X12,X13,X14,X15] :
      ( c_Set_Oimage(X12,c_Set_Ovimage(X12,X13,X15,X14),X15,X14) = X13
      | ~ c_Fun_Osurj(X12,X15,X14) ),
    inference(variable_rename,[status(thm)],[c_0_798]) ).

fof(c_0_1436,plain,
    ! [X14,X15,X16,X17,X18] :
      ( c_Fun_Oinj__on(X14,X16,X18,X17)
      | ~ c_Fun_Oinj__on(X14,c_Set_Oinsert(X15,X16,X18),X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_799]) ).

fof(c_0_1437,plain,
    ! [X14,X15,X16] :
      ( c_Set_Oinsert(X14,c_HOL_Ominus__class_Ominus(X15,c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X16,tc_bool)),X16),tc_fun(X16,tc_bool)),X16) = X15
      | ~ hBOOL(c_in(X14,X15,X16)) ),
    inference(variable_rename,[status(thm)],[c_0_800]) ).

fof(c_0_1438,plain,
    ! [X33,X34,X35,X36] :
      ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X35,X34,tc_fun(X36,tc_bool)),X33,tc_fun(X36,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(X35,c_Lattices_Oupper__semilattice__class_Osup(X34,X33,tc_fun(X36,tc_bool)),tc_fun(X36,tc_bool))
      | c_lessequals(X33,X35,tc_fun(X36,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_801]) ).

fof(c_0_1439,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_Fun_Oinj__on(X12,c_HOL_Ominus__class_Ominus(X14,X13,tc_fun(X16,tc_bool)),X16,X15)
      | ~ c_Fun_Oinj__on(X12,X14,X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_802]) ).

fof(c_0_1440,plain,
    ! [X12,X13,X14,X15,X16,X17] :
      ( hAPP(X14,X13) != hAPP(X14,X12)
      | ~ hBOOL(c_in(X12,X15,X17))
      | ~ hBOOL(c_in(X13,X15,X17))
      | X13 = X12
      | ~ c_Fun_Oinj__on(X14,X15,X17,X16) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_803])])]) ).

fof(c_0_1441,plain,
    ! [X12,X13,X14,X15,X16,X17] :
      ( hAPP(X14,X13) != hAPP(X14,X12)
      | ~ hBOOL(c_in(X12,X15,X17))
      | ~ hBOOL(c_in(X13,X15,X17))
      | ~ c_Fun_Oinj__on(X14,X15,X17,X16)
      | X13 = X12 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_804])])]) ).

fof(c_0_1442,plain,
    ! [X26,X27,X28,X29,X30,X31] :
      ( hAPP(X28,X27) != hAPP(X28,X26)
      | ~ hBOOL(c_in(X26,X29,X31))
      | ~ hBOOL(c_in(X27,X29,X31))
      | ~ c_Fun_Oinj__on(X28,X29,X31,X30)
      | X27 = X26 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_805])])]) ).

fof(c_0_1443,plain,
    ! [X12,X13,X14,X15,X16,X17] :
      ( hAPP(X14,X13) != hAPP(X14,X12)
      | ~ c_Fun_Oinj__on(X14,X15,X17,X16)
      | X13 = X12
      | ~ hBOOL(c_in(X12,X15,X17))
      | ~ hBOOL(c_in(X13,X15,X17)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_806])])]) ).

fof(c_0_1444,plain,
    ! [X25,X26,X27] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X27)
      | hAPP(X26,c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X27)
      | c_Finite__Set_Osetsum(X26,c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X25,tc_nat),tc_nat,X27) = c_Finite__Set_Osetsum(X26,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X25,tc_nat),tc_nat,X27) ),
    inference(variable_rename,[status(thm)],[c_0_807]) ).

fof(c_0_1445,plain,
    ! [X36,X37,X38,X39] :
      ( hBOOL(c_in(X36,c_Lattices_Olower__semilattice__class_Oinf(X38,X37,tc_fun(X39,tc_bool)),X39))
      | ~ hBOOL(c_in(X36,X37,X39))
      | ~ hBOOL(c_in(X36,X38,X39)) ),
    inference(variable_rename,[status(thm)],[c_0_808]) ).

fof(c_0_1446,plain,
    ! [X36,X37,X38,X39] :
      ( hBOOL(c_in(X36,c_Lattices_Olower__semilattice__class_Oinf(X38,X37,tc_fun(X39,tc_bool)),X39))
      | ~ hBOOL(c_in(X36,X37,X39))
      | ~ hBOOL(c_in(X36,X38,X39)) ),
    inference(variable_rename,[status(thm)],[c_0_809]) ).

fof(c_0_1447,plain,
    ! [X36,X37,X38,X39] :
      ( hBOOL(c_in(X36,X38,X39))
      | ~ hBOOL(c_in(X36,c_HOL_Ominus__class_Ominus(X38,X37,tc_fun(X39,tc_bool)),X39)) ),
    inference(variable_rename,[status(thm)],[c_0_810]) ).

fof(c_0_1448,plain,
    ! [X36,X37,X38,X39] :
      ( hBOOL(c_in(X36,X37,X39))
      | ~ hBOOL(c_in(X36,c_Lattices_Olower__semilattice__class_Oinf(X38,X37,tc_fun(X39,tc_bool)),X39)) ),
    inference(variable_rename,[status(thm)],[c_0_811]) ).

fof(c_0_1449,plain,
    ! [X36,X37,X38,X39] :
      ( hBOOL(c_in(X36,X38,X39))
      | ~ hBOOL(c_in(X36,c_Lattices_Olower__semilattice__class_Oinf(X38,X37,tc_fun(X39,tc_bool)),X39)) ),
    inference(variable_rename,[status(thm)],[c_0_812]) ).

fof(c_0_1450,plain,
    ! [X14,X15,X16,X17] :
      ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X16,X15,tc_fun(X17,tc_bool)),X17)
      | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X16,c_Set_Oinsert(X14,X15,X17),tc_fun(X17,tc_bool)),X17) ),
    inference(variable_rename,[status(thm)],[c_0_813]) ).

fof(c_0_1451,plain,
    ! [X12,X13,X14,X15,X16] :
      ( c_Fun_Oinj__on(X12,X14,X16,X15)
      | ~ c_lessequals(X14,X13,tc_fun(X16,tc_bool))
      | ~ c_Fun_Oinj__on(X12,X13,X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_814]) ).

fof(c_0_1452,plain,
    ! [X36,X37,X38] :
      ( ~ hBOOL(c_in(X36,X37,X38))
      | ~ hBOOL(c_in(X36,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X38,tc_bool)),X37),X38)) ),
    inference(variable_rename,[status(thm)],[c_0_815]) ).

fof(c_0_1453,plain,
    ! [X10,X11,X12] :
      ( c_Fun_Obij(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X12,tc_bool)),X10,X12,X11),X11,X12)
      | ~ c_Fun_Obij(X10,X12,X11) ),
    inference(variable_rename,[status(thm)],[c_0_816]) ).

fof(c_0_1454,plain,
    ! [X12,X13,X14] :
      ( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X13,c_Set_Oinsert(X12,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_bool)),X14),tc_fun(X14,tc_bool)),X14) = c_Finite__Set_Ocard(X13,X14)
      | hBOOL(c_in(X12,X13,X14))
      | ~ c_Finite__Set_Ofinite(X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_817]) ).

fof(c_0_1455,plain,
    ! [X36,X37,X38,X39] :
      ( hBOOL(c_in(X36,c_HOL_Ominus__class_Ominus(X38,X37,tc_fun(X39,tc_bool)),X39))
      | hBOOL(c_in(X36,X37,X39))
      | ~ hBOOL(c_in(X36,X38,X39)) ),
    inference(variable_rename,[status(thm)],[c_0_818]) ).

fof(c_0_1456,plain,
    ! [X36,X37,X38,X39] :
      ( hBOOL(c_in(X36,c_HOL_Ominus__class_Ominus(X38,X37,tc_fun(X39,tc_bool)),X39))
      | hBOOL(c_in(X36,X37,X39))
      | ~ hBOOL(c_in(X36,X38,X39)) ),
    inference(variable_rename,[status(thm)],[c_0_819]) ).

fof(c_0_1457,plain,
    ! [X12,X13,X14,X15,X16] :
      ( hAPP(c_FuncSet_Orestrict(X13,X14,X15,X16),X12) = hAPP(X13,X12)
      | ~ hBOOL(c_in(X12,X14,X15)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_820])])]) ).

fof(c_0_1458,plain,
    ! [X26,X27,X28] :
      ( hBOOL(hAPP(X28,X26))
      | ~ hBOOL(c_in(X26,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X27,tc_nat),tc_nat))
      | ~ hBOOL(hAPP(X28,c_List_Osko__List__Xall__nat__less__eq__1__1(X28,X27))) ),
    inference(variable_rename,[status(thm)],[c_0_821]) ).

fof(c_0_1459,plain,
    ! [X23,X24,X25] :
      ( hBOOL(hAPP(X25,c_List_Osko__List__Xex__nat__less__eq__1__2(X25,X24)))
      | ~ hBOOL(hAPP(X25,X23))
      | ~ hBOOL(c_in(X23,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X24,tc_nat),tc_nat)) ),
    inference(variable_rename,[status(thm)],[c_0_822]) ).

fof(c_0_1460,plain,
    ! [X14,X15,X16,X17] :
      ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X16,c_Set_Oinsert(X14,X15,X17),tc_fun(X17,tc_bool)),X17)
      | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X16,X15,tc_fun(X17,tc_bool)),X17) ),
    inference(variable_rename,[status(thm)],[c_0_823]) ).

fof(c_0_1461,plain,
    ! [X23,X24,X25] :
      ( c_HOL_Oord__class_Oless(c_List_Osko__List__Xex__nat__less__eq__1__2(X25,X24),X24,tc_nat)
      | ~ hBOOL(hAPP(X25,X23))
      | ~ hBOOL(c_in(X23,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X24,tc_nat),tc_nat)) ),
    inference(variable_rename,[status(thm)],[c_0_824]) ).

fof(c_0_1462,plain,
    ! [X9,X10] :
      ( c_Fun_Osurj(X9,X10,X10)
      | ~ c_Fun_Oinj__on(X9,c_Orderings_Otop__class_Otop(tc_fun(X10,tc_bool)),X10,X10)
      | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X10,tc_bool)),X10) ),
    inference(variable_rename,[status(thm)],[c_0_825]) ).

fof(c_0_1463,plain,
    ! [X33,X34,X35,X36,X37] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X36,X35,tc_fun(X37,tc_bool)),c_HOL_Ominus__class_Ominus(X34,X33,tc_fun(X37,tc_bool)),tc_fun(X37,tc_bool))
      | ~ c_lessequals(X33,X35,tc_fun(X37,tc_bool))
      | ~ c_lessequals(X36,X34,tc_fun(X37,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_826]) ).

fof(c_0_1464,plain,
    ! [X33,X34,X35,X36,X37] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X36,X35,tc_fun(X37,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X34,X33,tc_fun(X37,tc_bool)),tc_fun(X37,tc_bool))
      | ~ c_lessequals(X35,X33,tc_fun(X37,tc_bool))
      | ~ c_lessequals(X36,X34,tc_fun(X37,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_827]) ).

fof(c_0_1465,plain,
    ! [X33,X34,X35,X36,X37] :
      ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X36,X35,tc_fun(X37,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X34,X33,tc_fun(X37,tc_bool)),tc_fun(X37,tc_bool))
      | ~ c_lessequals(X35,X33,tc_fun(X37,tc_bool))
      | ~ c_lessequals(X36,X34,tc_fun(X37,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_828]) ).

fof(c_0_1466,plain,
    ! [X23,X24,X25] :
      ( hBOOL(hAPP(X25,X23))
      | ~ hBOOL(c_in(X23,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X24,tc_nat),tc_nat))
      | c_HOL_Oord__class_Oless(c_List_Osko__List__Xall__nat__less__eq__1__1(X25,X24),X24,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_829]) ).

fof(c_0_1467,plain,
    ! [X24,X25,X26,X27] :
      ( hBOOL(c_in(X25,X26,X27))
      | X25 = X24
      | ~ hBOOL(c_in(X25,c_Set_Oinsert(X24,X26,X27),X27)) ),
    inference(variable_rename,[status(thm)],[c_0_830]) ).

fof(c_0_1468,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X27)
      | c_lessequals(X26,X25,X27)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X27),X25,X27)
      | ~ c_lessequals(c_Power_Opower__class_Opower(X26,c_Suc(X24),X27),c_Power_Opower__class_Opower(X25,c_Suc(X24),X27),X27) ),
    inference(variable_rename,[status(thm)],[c_0_831]) ).

fof(c_0_1469,plain,
    ! [X28,X29,X30,X31] :
      ( c_Finite__Set_Ofinite(c_Set_Ovimage(X28,X29,X31,X30),X31)
      | ~ c_Finite__Set_Ofinite(X29,X30)
      | ~ c_Fun_Obij(X28,X31,X30) ),
    inference(variable_rename,[status(thm)],[c_0_832]) ).

fof(c_0_1470,plain,
    ! [X10,X11,X12] :
      ( c_Fun_Obij(X10,X12,X11)
      | ~ c_Fun_Osurj(X10,X12,X11)
      | ~ c_Fun_Oinj__on(X10,c_Orderings_Otop__class_Otop(tc_fun(X12,tc_bool)),X12,X11) ),
    inference(variable_rename,[status(thm)],[c_0_833]) ).

fof(c_0_1471,plain,
    ! [X10,X11,X12] :
      ( c_Fun_Obij(X10,X12,X11)
      | ~ c_Fun_Osurj(X10,X12,X11)
      | ~ c_Fun_Oinj__on(X10,c_Orderings_Otop__class_Otop(tc_fun(X12,tc_bool)),X12,X11) ),
    inference(variable_rename,[status(thm)],[c_0_834]) ).

fof(c_0_1472,plain,
    ! [X12,X13,X14] :
      ( c_lessequals(X12,X13,tc_fun(X14,tc_bool))
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X14,tc_bool)),X13),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X14,tc_bool)),X12),tc_fun(X14,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_835]) ).

fof(c_0_1473,plain,
    ! [X24,X25,X26] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X26)
      | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X25,c_Set_Oinsert(X24,c_Orderings_Obot__class_Obot(tc_fun(X26,tc_bool)),X26),X26),X26) = c_Lattices_Oupper__semilattice__class_Osup(X25,X24,X26) ),
    inference(variable_rename,[status(thm)],[c_0_836]) ).

fof(c_0_1474,plain,
    ! [X33,X34,X35,X36] :
      ( c_lessequals(c_HOL_Ominus__class_Ominus(X35,X34,tc_fun(X36,tc_bool)),X33,tc_fun(X36,tc_bool))
      | ~ c_lessequals(X35,c_Lattices_Oupper__semilattice__class_Osup(X34,X33,tc_fun(X36,tc_bool)),tc_fun(X36,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_837]) ).

fof(c_0_1475,plain,
    ! [X33,X34,X35,X36] :
      ( c_lessequals(X35,c_Lattices_Oupper__semilattice__class_Osup(X34,X33,tc_fun(X36,tc_bool)),tc_fun(X36,tc_bool))
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X35,X34,tc_fun(X36,tc_bool)),X33,tc_fun(X36,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_838]) ).

fof(c_0_1476,plain,
    ! [X36,X37,X38,X39] :
      ( hBOOL(c_in(X36,c_Lattices_Oupper__semilattice__class_Osup(X38,X37,tc_fun(X39,tc_bool)),X39))
      | ~ hBOOL(c_in(X36,X37,X39)) ),
    inference(variable_rename,[status(thm)],[c_0_839]) ).

fof(c_0_1477,plain,
    ! [X36,X37,X38,X39] :
      ( hBOOL(c_in(X36,c_Lattices_Oupper__semilattice__class_Osup(X38,X37,tc_fun(X39,tc_bool)),X39))
      | ~ hBOOL(c_in(X36,X38,X39)) ),
    inference(variable_rename,[status(thm)],[c_0_840]) ).

fof(c_0_1478,plain,
    ! [X12,X13,X14] :
      ( X13 = c_Set_Oinsert(X12,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_bool)),X14)
      | X13 = c_Orderings_Obot__class_Obot(tc_fun(X14,tc_bool))
      | ~ c_lessequals(X13,c_Set_Oinsert(X12,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_bool)),X14),tc_fun(X14,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_841]) ).

fof(c_0_1479,plain,
    ! [X12,X13,X14,X15] :
      ( hBOOL(hAPP(X13,X12))
      | hBOOL(hAPP(X14,X12))
      | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X14,X13,tc_fun(X15,tc_bool)),X12)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_842])])]) ).

fof(c_0_1480,plain,
    ! [X33,X34,X35,X36] :
      ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X35,X34,tc_fun(X36,tc_bool)),X33,tc_fun(X36,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X35,c_Lattices_Oupper__semilattice__class_Osup(X34,X33,tc_fun(X36,tc_bool)),tc_fun(X36,tc_bool))
      | ~ c_lessequals(X33,X35,tc_fun(X36,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_843]) ).

fof(c_0_1481,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X27)
      | c_HOL_Oord__class_Oless(X26,X25,X27)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X27),X25,X27)
      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X26,X24,X27),c_Power_Opower__class_Opower(X25,X24,X27),X27) ),
    inference(variable_rename,[status(thm)],[c_0_844]) ).

fof(c_0_1482,plain,
    ! [X42,X43,X44,X45,X46] :
      ( ~ class_Orderings_Olinorder(X46)
      | c_lessequals(X43,X45,X46)
      | c_lessequals(X44,X45,X46)
      | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X45,X44,X46),c_SetInterval_Oord__class_OatLeastLessThan(X43,X42,X46),tc_fun(X46,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_845]) ).

fof(c_0_1483,plain,
    ! [X42,X43,X44,X45,X46] :
      ( ~ class_Orderings_Olinorder(X46)
      | c_lessequals(X44,X42,X46)
      | c_lessequals(X44,X45,X46)
      | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X45,X44,X46),c_SetInterval_Oord__class_OatLeastLessThan(X43,X42,X46),tc_fun(X46,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_846]) ).

fof(c_0_1484,plain,
    ! [X8,X9] :
      ( hBOOL(c_in(X8,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9))
      | c_Finite__Set_Ocard(c_Set_Oinsert(X8,c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9),X9) = c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X9,tc_bool)),X9)) ),
    inference(variable_rename,[status(thm)],[c_0_847]) ).

fof(c_0_1485,plain,
    ! [X33,X34,X35,X36] :
      ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X33,X35,X36),X34,tc_fun(X36,tc_bool)) = c_Set_Oinsert(X33,c_Lattices_Olower__semilattice__class_Oinf(X35,X34,tc_fun(X36,tc_bool)),X36)
      | ~ hBOOL(c_in(X33,X34,X36)) ),
    inference(variable_rename,[status(thm)],[c_0_848]) ).

fof(c_0_1486,plain,
    ! [X14,X15,X16,X17] :
      ( c_Lattices_Olower__semilattice__class_Oinf(X16,c_Set_Oinsert(X14,X15,X17),tc_fun(X17,tc_bool)) = c_Set_Oinsert(X14,c_Lattices_Olower__semilattice__class_Oinf(X16,X15,tc_fun(X17,tc_bool)),X17)
      | ~ hBOOL(c_in(X14,X16,X17)) ),
    inference(variable_rename,[status(thm)],[c_0_849]) ).

fof(c_0_1487,plain,
    ! [X12,X13,X14,X15] :
      ( hBOOL(hAPP(X13,X12))
      | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X14,X13,tc_fun(X15,tc_bool)),X12)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_850])])]) ).

fof(c_0_1488,plain,
    ! [X12,X13,X14,X15] :
      ( hBOOL(hAPP(X14,X12))
      | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X14,X13,tc_fun(X15,tc_bool)),X12)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_851])])]) ).

fof(c_0_1489,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X27)
      | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X26,X24,X27),c_Power_Opower__class_Opower(X25,X24,X27),X27)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X24,tc_nat)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X27),X26,X27)
      | ~ c_HOL_Oord__class_Oless(X26,X25,X27) ),
    inference(variable_rename,[status(thm)],[c_0_852]) ).

fof(c_0_1490,plain,
    ! [X10,X11,X12] :
      ( c_Fun_Oinj__on(X10,c_Orderings_Otop__class_Otop(tc_fun(X12,tc_bool)),X12,X11)
      | hAPP(X10,c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__1(X10,X12,X11)) = hAPP(X10,c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__2(X10,X12,X11)) ),
    inference(variable_rename,[status(thm)],[c_0_853]) ).

fof(c_0_1491,plain,
    ! [X10,X11,X12] :
      ( c_Fun_Oinj__on(X10,c_Orderings_Otop__class_Otop(tc_fun(X12,tc_bool)),X12,X11)
      | hAPP(X10,c_ATP__Linkup_Osko__Fun__XinjI__1__1(X10,X12,X11)) = hAPP(X10,c_ATP__Linkup_Osko__Fun__XinjI__1__2(X10,X12,X11)) ),
    inference(variable_rename,[status(thm)],[c_0_854]) ).

fof(c_0_1492,plain,
    ! [X28,X29,X30,X31] :
      ( c_Finite__Set_Ofinite(c_Set_Oimage(X28,X29,X31,X30),X30)
      | ~ c_Finite__Set_Ofinite(X29,X31) ),
    inference(variable_rename,[status(thm)],[c_0_855]) ).

fof(c_0_1493,plain,
    ! [X31,X32,X33,X34] :
      ( ~ class_Orderings_Olinorder(X34)
      | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X33,X32,X34),c_SetInterval_Oord__class_OatLeastLessThan(X32,X31,X34),tc_fun(X34,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X33,X31,X34)
      | ~ c_lessequals(X32,X31,X34)
      | ~ c_lessequals(X33,X32,X34) ),
    inference(variable_rename,[status(thm)],[c_0_856]) ).

fof(c_0_1494,plain,
    ! [X10,X11,X12,X13,X14] :
      ( hAPP(X12,X11) != hAPP(X12,X10)
      | ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X14,tc_bool)),X14,X13)
      | X11 = X10 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_857])])]) ).

fof(c_0_1495,plain,
    ! [X12,X13,X14,X15] :
      ( ~ hBOOL(c_in(X12,X13,X15))
      | ~ hBOOL(c_in(X12,X14,X15))
      | c_Lattices_Olower__semilattice__class_Oinf(X14,X13,tc_fun(X15,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X15,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_858]) ).

fof(c_0_1496,plain,
    ! [X12,X13,X14] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X12,X13,X14),c_Set_Oinsert(X12,c_Orderings_Obot__class_Obot(tc_fun(X14,tc_bool)),X14),tc_fun(X14,tc_bool)) = X13
      | hBOOL(c_in(X12,X13,X14)) ),
    inference(variable_rename,[status(thm)],[c_0_859]) ).

fof(c_0_1497,plain,
    ! [X12,X13,X14,X15] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X12,X14,X15),X13,tc_fun(X15,tc_bool)) = c_Set_Oinsert(X12,c_HOL_Ominus__class_Ominus(X14,X13,tc_fun(X15,tc_bool)),X15)
      | hBOOL(c_in(X12,X13,X15)) ),
    inference(variable_rename,[status(thm)],[c_0_860]) ).

fof(c_0_1498,plain,
    ! [X24,X25,X26,X27] :
      ( hBOOL(c_in(X25,c_Set_Oinsert(X24,X26,X27),X27))
      | ~ hBOOL(c_in(X25,X26,X27)) ),
    inference(variable_rename,[status(thm)],[c_0_861]) ).

fof(c_0_1499,plain,
    ! [X24,X25,X26,X27] :
      ( hBOOL(c_in(X25,c_Set_Oinsert(X24,X26,X27),X27))
      | ~ hBOOL(c_in(X25,X26,X27)) ),
    inference(variable_rename,[status(thm)],[c_0_862]) ).

fof(c_0_1500,plain,
    ! [X9,X10] :
      ( c_Fun_Oinj__on(X9,c_Orderings_Otop__class_Otop(tc_fun(X10,tc_bool)),X10,X10)
      | ~ c_Fun_Osurj(X9,X10,X10)
      | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X10,tc_bool)),X10) ),
    inference(variable_rename,[status(thm)],[c_0_863]) ).

fof(c_0_1501,plain,
    ! [X36,X37,X38] :
      ( hBOOL(c_in(X36,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X38,tc_bool)),X37),X38))
      | hBOOL(c_in(X36,X37,X38)) ),
    inference(variable_rename,[status(thm)],[c_0_864]) ).

fof(c_0_1502,plain,
    ! [X12,X13,X14,X15] :
      ( c_lessequals(c_Set_Oinsert(X12,X14,X15),X13,tc_fun(X15,tc_bool))
      | ~ c_lessequals(X14,X13,tc_fun(X15,tc_bool))
      | ~ hBOOL(c_in(X12,X13,X15)) ),
    inference(variable_rename,[status(thm)],[c_0_865]) ).

fof(c_0_1503,plain,
    ! [X12,X13,X14,X15] :
      ( c_lessequals(X14,X13,tc_fun(X15,tc_bool))
      | hBOOL(c_in(X12,X14,X15))
      | ~ c_lessequals(X14,c_Set_Oinsert(X12,X13,X15),tc_fun(X15,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_866]) ).

fof(c_0_1504,plain,
    ! [X12,X13,X14,X15] :
      ( c_lessequals(X14,X13,tc_fun(X15,tc_bool))
      | ~ c_lessequals(X14,c_Set_Oinsert(X12,X13,X15),tc_fun(X15,tc_bool))
      | hBOOL(c_in(X12,X14,X15)) ),
    inference(variable_rename,[status(thm)],[c_0_867]) ).

fof(c_0_1505,plain,
    ! [X33,X34,X35,X36] :
      ( c_HOL_Ominus__class_Ominus(X34,c_HOL_Ominus__class_Ominus(X33,X35,tc_fun(X36,tc_bool)),tc_fun(X36,tc_bool)) = X35
      | ~ c_lessequals(X34,X33,tc_fun(X36,tc_bool))
      | ~ c_lessequals(X35,X34,tc_fun(X36,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_868]) ).

fof(c_0_1506,plain,
    ! [X33,X34,X35,X36] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X35,X34,tc_fun(X36,tc_bool)),X33,tc_fun(X36,tc_bool))
      | ~ c_lessequals(X34,X33,tc_fun(X36,tc_bool))
      | ~ c_lessequals(X35,X33,tc_fun(X36,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_869]) ).

fof(c_0_1507,plain,
    ! [X33,X34,X35,X36] :
      ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X35,X34,tc_fun(X36,tc_bool)),X33,tc_fun(X36,tc_bool))
      | ~ c_lessequals(X34,X33,tc_fun(X36,tc_bool))
      | ~ c_lessequals(X35,X33,tc_fun(X36,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_870]) ).

fof(c_0_1508,plain,
    ! [X33,X34,X35,X36] :
      ( c_lessequals(X33,c_Lattices_Olower__semilattice__class_Oinf(X35,X34,tc_fun(X36,tc_bool)),tc_fun(X36,tc_bool))
      | ~ c_lessequals(X33,X34,tc_fun(X36,tc_bool))
      | ~ c_lessequals(X33,X35,tc_fun(X36,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_871]) ).

fof(c_0_1509,plain,
    ! [X33,X34,X35,X36] :
      ( c_lessequals(X33,c_Lattices_Olower__semilattice__class_Oinf(X35,X34,tc_fun(X36,tc_bool)),tc_fun(X36,tc_bool))
      | ~ c_lessequals(X33,X34,tc_fun(X36,tc_bool))
      | ~ c_lessequals(X33,X35,tc_fun(X36,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_872]) ).

fof(c_0_1510,plain,
    ! [X10,X11,X12] :
      ( c_ATP__Linkup_Osko__Fun__XinjI__1__1(X10,X12,X11) != c_ATP__Linkup_Osko__Fun__XinjI__1__2(X10,X12,X11)
      | c_Fun_Oinj__on(X10,c_Orderings_Otop__class_Otop(tc_fun(X12,tc_bool)),X12,X11) ),
    inference(variable_rename,[status(thm)],[c_0_873]) ).

fof(c_0_1511,plain,
    ! [X10,X11,X12] :
      ( c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__1(X10,X12,X11) != c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__2(X10,X12,X11)
      | c_Fun_Oinj__on(X10,c_Orderings_Otop__class_Otop(tc_fun(X12,tc_bool)),X12,X11) ),
    inference(variable_rename,[status(thm)],[c_0_874]) ).

fof(c_0_1512,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X27)
      | c_Power_Opower__class_Opower(X26,X24,X27) != c_Power_Opower__class_Opower(X25,X24,X27)
      | X26 = X25
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X24,tc_nat)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X27),X25,X27)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X27),X26,X27) ),
    inference(variable_rename,[status(thm)],[c_0_875]) ).

fof(c_0_1513,plain,
    ! [X12,X13,X14,X15] :
      ( c_Set_Oimage(X12,X13,X14,X15) != c_Orderings_Obot__class_Obot(tc_fun(X15,tc_bool))
      | X13 = c_Orderings_Obot__class_Obot(tc_fun(X14,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_876])])]) ).

fof(c_0_1514,plain,
    ! [X12,X13,X14,X15] :
      ( c_Orderings_Obot__class_Obot(tc_fun(X15,tc_bool)) != c_Set_Oimage(X12,X13,X14,X15)
      | X13 = c_Orderings_Obot__class_Obot(tc_fun(X14,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_877])])]) ).

fof(c_0_1515,plain,
    ! [X12,X13,X14] :
      ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X14,tc_bool)),X12),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X14,tc_bool)),X13),tc_fun(X14,tc_bool))
      | ~ c_lessequals(X13,X12,tc_fun(X14,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_878]) ).

fof(c_0_1516,plain,
    ! [X12,X13,X14] :
      ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X14,tc_bool)),X13),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X14,tc_bool)),X12),tc_fun(X14,tc_bool))
      | ~ c_lessequals(X12,X13,tc_fun(X14,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_879]) ).

fof(c_0_1517,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X27)
      | c_lessequals(c_Power_Opower__class_Opower(X26,X24,X27),c_Power_Opower__class_Opower(X25,X24,X27),X27)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X27),X26,X27)
      | ~ c_lessequals(X26,X25,X27) ),
    inference(variable_rename,[status(thm)],[c_0_880]) ).

fof(c_0_1518,plain,
    ! [X29,X30,X31,X32] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X32)
      | c_Finite__Set_Osetsum(X31,c_SetInterval_Oord__class_OatLeastLessThan(X30,c_Suc(X29),tc_nat),tc_nat,X32) = c_HOL_Ozero__class_Ozero(X32)
      | ~ c_HOL_Oord__class_Oless(X29,X30,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_881]) ).

fof(c_0_1519,plain,
    ! [X33,X34,X35,X36] :
      ( c_lessequals(X33,X34,tc_fun(X36,tc_bool))
      | ~ c_lessequals(X33,c_Lattices_Olower__semilattice__class_Oinf(X35,X34,tc_fun(X36,tc_bool)),tc_fun(X36,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_882]) ).

fof(c_0_1520,plain,
    ! [X33,X34,X35,X36] :
      ( c_lessequals(X33,X35,tc_fun(X36,tc_bool))
      | ~ c_lessequals(X33,c_Lattices_Olower__semilattice__class_Oinf(X35,X34,tc_fun(X36,tc_bool)),tc_fun(X36,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_883]) ).

fof(c_0_1521,plain,
    ! [X33,X34,X35,X36] :
      ( c_lessequals(X35,X33,tc_fun(X36,tc_bool))
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X35,X34,tc_fun(X36,tc_bool)),X33,tc_fun(X36,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_884]) ).

fof(c_0_1522,plain,
    ! [X33,X34,X35,X36] :
      ( c_lessequals(X34,X33,tc_fun(X36,tc_bool))
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X35,X34,tc_fun(X36,tc_bool)),X33,tc_fun(X36,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_885]) ).

fof(c_0_1523,plain,
    ! [X43,X44,X45,X46] :
      ( ~ class_Orderings_Olinorder(X46)
      | c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(X45,X44,X46),c_SetInterval_Oord__class_OatLeastLessThan(X45,X43,X46),tc_fun(X46,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X43,X44,X46)
      | ~ c_lessequals(X45,X43,X46) ),
    inference(variable_rename,[status(thm)],[c_0_886]) ).

fof(c_0_1524,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Lattices_Odistrib__lattice(X47)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X45,X44,X47),X46,X47) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X45,X46,X47),c_Lattices_Olower__semilattice__class_Oinf(X44,X46,X47),X47) ),
    inference(variable_rename,[status(thm)],[c_0_887]) ).

fof(c_0_1525,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Lattices_Odistrib__lattice(X47)
      | c_Lattices_Olower__semilattice__class_Oinf(X46,c_Lattices_Oupper__semilattice__class_Osup(X45,X44,X47),X47) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X46,X45,X47),c_Lattices_Olower__semilattice__class_Oinf(X46,X44,X47),X47) ),
    inference(variable_rename,[status(thm)],[c_0_888]) ).

fof(c_0_1526,plain,
    ! [X12,X13,X14,X15] :
      ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X12,X14,X15),X13,tc_fun(X15,tc_bool)) = c_HOL_Ominus__class_Ominus(X14,X13,tc_fun(X15,tc_bool))
      | ~ hBOOL(c_in(X12,X13,X15)) ),
    inference(variable_rename,[status(thm)],[c_0_889]) ).

fof(c_0_1527,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Lattices_Odistrib__lattice(X47)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X45,X44,X47),X46,X47) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X45,X46,X47),c_Lattices_Oupper__semilattice__class_Osup(X44,X46,X47),X47) ),
    inference(variable_rename,[status(thm)],[c_0_890]) ).

fof(c_0_1528,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Lattices_Odistrib__lattice(X47)
      | c_Lattices_Oupper__semilattice__class_Osup(X46,c_Lattices_Olower__semilattice__class_Oinf(X45,X44,X47),X47) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X46,X45,X47),c_Lattices_Oupper__semilattice__class_Osup(X46,X44,X47),X47) ),
    inference(variable_rename,[status(thm)],[c_0_891]) ).

fof(c_0_1529,plain,
    ! [X12,X13,X14,X15] :
      ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X14,X13,tc_fun(X15,tc_bool)),X12))
      | ~ hBOOL(hAPP(X13,X12))
      | ~ hBOOL(hAPP(X14,X12)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_892])])]) ).

fof(c_0_1530,plain,
    ! [X12,X13,X14] :
      ( c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X14,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X14,tc_bool))
      | ~ c_lessequals(X13,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X14,tc_bool)),X12),tc_fun(X14,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_893]) ).

fof(c_0_1531,plain,
    ! [X25,X26] :
      ( ~ class_Orderings_Oorder(X26)
      | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X25,c_Orderings_Obot__class_Obot(tc_fun(X26,tc_bool)),X26),c_SetInterval_Oord__class_OlessThan(X25,X26),tc_fun(X26,tc_bool)) = c_Set_Oinsert(X25,c_Orderings_Obot__class_Obot(tc_fun(X26,tc_bool)),X26) ),
    inference(variable_rename,[status(thm)],[c_0_894]) ).

fof(c_0_1532,plain,
    ! [X12,X13,X14,X15] :
      ( c_lessequals(X14,c_Set_Oinsert(X12,X13,X15),tc_fun(X15,tc_bool))
      | ~ c_lessequals(X14,X13,tc_fun(X15,tc_bool))
      | hBOOL(c_in(X12,X14,X15)) ),
    inference(variable_rename,[status(thm)],[c_0_895]) ).

fof(c_0_1533,plain,
    ! [X12,X13,X14,X15] :
      ( c_lessequals(X14,c_Set_Oinsert(X12,X13,X15),tc_fun(X15,tc_bool))
      | ~ c_lessequals(X14,X13,tc_fun(X15,tc_bool))
      | hBOOL(c_in(X12,X14,X15)) ),
    inference(variable_rename,[status(thm)],[c_0_896]) ).

fof(c_0_1534,plain,
    ! [X12,X13,X14,X15] :
      ( hBOOL(hAPP(X14,X13))
      | X12 = X13
      | ~ hBOOL(hAPP(c_Set_Oinsert(X12,X14,X15),X13)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_897])])]) ).

fof(c_0_1535,plain,
    ! [X33,X34,X35,X36] :
      ( c_lessequals(c_Set_Oinsert(X33,X35,X36),c_Set_Oinsert(X33,X34,X36),tc_fun(X36,tc_bool))
      | ~ c_lessequals(X35,X34,tc_fun(X36,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_898]) ).

fof(c_0_1536,plain,
    ! [X10,X11,X12] :
      ( c_Set_Oimage(X10,c_Orderings_Otop__class_Otop(tc_fun(X12,tc_bool)),X12,X11) = c_Orderings_Otop__class_Otop(tc_fun(X11,tc_bool))
      | ~ c_Fun_Osurj(X10,X12,X11) ),
    inference(variable_rename,[status(thm)],[c_0_899]) ).

fof(c_0_1537,plain,
    ! [X12,X13,X14,X15] :
      ( hBOOL(c_in(X12,X13,X15))
      | ~ hBOOL(c_in(X12,X14,X15))
      | ~ c_lessequals(X14,X13,tc_fun(X15,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_900]) ).

fof(c_0_1538,plain,
    ! [X36,X37,X38,X39] :
      ( hBOOL(c_in(X36,X37,X39))
      | ~ hBOOL(c_in(X36,X38,X39))
      | ~ c_lessequals(X38,X37,tc_fun(X39,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_901]) ).

fof(c_0_1539,plain,
    ! [X12,X13,X14,X15] :
      ( hBOOL(c_in(X12,X13,X15))
      | ~ c_lessequals(X14,X13,tc_fun(X15,tc_bool))
      | ~ hBOOL(c_in(X12,X14,X15)) ),
    inference(variable_rename,[status(thm)],[c_0_902]) ).

fof(c_0_1540,plain,
    ! [X46,X47,X48,X49] :
      ( hBOOL(c_in(X46,X47,X49))
      | ~ hBOOL(c_in(X46,X48,X49))
      | ~ c_lessequals(X48,X47,tc_fun(X49,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_903]) ).

fof(c_0_1541,plain,
    ! [X12,X13,X14,X15] :
      ( hBOOL(c_in(X12,X13,X15))
      | ~ c_lessequals(c_Set_Oinsert(X12,X14,X15),X13,tc_fun(X15,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_904]) ).

fof(c_0_1542,plain,
    ! [X12,X13,X14,X15] :
      ( c_Set_Oinsert(X12,X14,X15) != c_Set_Oinsert(X12,X13,X15)
      | hBOOL(c_in(X12,X13,X15))
      | hBOOL(c_in(X12,X14,X15))
      | X14 = X13 ),
    inference(variable_rename,[status(thm)],[c_0_905]) ).

fof(c_0_1543,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X27)
      | c_Power_Opower__class_Opower(X26,c_Suc(X24),X27) != c_Power_Opower__class_Opower(X25,c_Suc(X24),X27)
      | X26 = X25
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X27),X25,X27)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X27),X26,X27) ),
    inference(variable_rename,[status(thm)],[c_0_906]) ).

fof(c_0_1544,plain,
    ! [X10,X11,X12] :
      ( c_Fun_Oinj__on(X10,c_Orderings_Otop__class_Otop(tc_fun(X12,tc_bool)),X12,X11)
      | ~ c_Fun_Obij(X10,X12,X11) ),
    inference(variable_rename,[status(thm)],[c_0_907]) ).

fof(c_0_1545,plain,
    ! [X23,X24,X25] :
      ( ~ hBOOL(hAPP(X24,X23))
      | ~ hBOOL(c_in(X23,c_Orderings_Obot__class_Obot(tc_fun(X25,tc_bool)),X25)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_908])])]) ).

fof(c_0_1546,plain,
    ! [X12,X13,X14,X15] :
      ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X14,X13,tc_fun(X15,tc_bool)),X12))
      | ~ hBOOL(hAPP(X13,X12)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_909])])]) ).

fof(c_0_1547,plain,
    ! [X12,X13,X14,X15] :
      ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X14,X13,tc_fun(X15,tc_bool)),X12))
      | ~ hBOOL(hAPP(X14,X12)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_910])])]) ).

fof(c_0_1548,plain,
    ! [X14,X15,X16,X17] :
      ( c_Lattices_Olower__semilattice__class_Oinf(X16,c_Set_Oinsert(X14,X15,X17),tc_fun(X17,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X16,X15,tc_fun(X17,tc_bool))
      | hBOOL(c_in(X14,X16,X17)) ),
    inference(variable_rename,[status(thm)],[c_0_911]) ).

fof(c_0_1549,plain,
    ! [X33,X34,X35,X36] :
      ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X33,X35,X36),X34,tc_fun(X36,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X35,X34,tc_fun(X36,tc_bool))
      | hBOOL(c_in(X33,X34,X36)) ),
    inference(variable_rename,[status(thm)],[c_0_912]) ).

fof(c_0_1550,plain,
    ! [X12,X13,X14] :
      ( c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X14,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X14,tc_bool))
      | c_lessequals(X13,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X14,tc_bool)),X12),tc_fun(X14,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_913]) ).

fof(c_0_1551,plain,
    ! [X23,X24,X25] :
      ( hBOOL(hAPP(X24,X23))
      | ~ hBOOL(c_in(X23,c_Orderings_Obot__class_Obot(tc_fun(X25,tc_bool)),X25)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_914])])]) ).

fof(c_0_1552,plain,
    ! [X12,X13,X14,X15] :
      ( c_lessequals(X14,X13,tc_fun(X15,tc_bool))
      | ~ c_lessequals(c_Set_Oinsert(X12,X14,X15),X13,tc_fun(X15,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_915]) ).

fof(c_0_1553,plain,
    ! [X12,X13] :
      ( X12 = c_Orderings_Obot__class_Obot(tc_fun(X13,tc_bool))
      | ~ c_lessequals(X12,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X13,tc_bool)),X12),tc_fun(X13,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_916]) ).

fof(c_0_1554,plain,
    ! [X12,X13,X14] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X13,c_HOL_Ominus__class_Ominus(X12,X13,tc_fun(X14,tc_bool)),tc_fun(X14,tc_bool)) = X12
      | ~ c_lessequals(X13,X12,tc_fun(X14,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_917]) ).

fof(c_0_1555,plain,
    ! [X12,X13,X14] :
      ( c_lessequals(c_Finite__Set_Ocard(X13,X14),c_Finite__Set_Ocard(c_Set_Oinsert(X12,X13,X14),X14),tc_nat)
      | ~ c_Finite__Set_Ofinite(X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_918]) ).

fof(c_0_1556,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_Lattices_Oupper__semilattice(X27)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X26,X25,X27),X24,X27)
      | ~ c_lessequals(X25,X24,X27)
      | ~ c_lessequals(X26,X24,X27) ),
    inference(variable_rename,[status(thm)],[c_0_919]) ).

fof(c_0_1557,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Lattices_Oupper__semilattice(X47)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X45,X44,X47),X46,X47)
      | ~ c_lessequals(X44,X46,X47)
      | ~ c_lessequals(X45,X46,X47) ),
    inference(variable_rename,[status(thm)],[c_0_920]) ).

fof(c_0_1558,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Lattices_Oupper__semilattice(X47)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X46,X45,X47),X44,X47)
      | ~ c_lessequals(X45,X44,X47)
      | ~ c_lessequals(X46,X44,X47) ),
    inference(variable_rename,[status(thm)],[c_0_921]) ).

fof(c_0_1559,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Lattices_Olower__semilattice(X47)
      | c_lessequals(X46,c_Lattices_Olower__semilattice__class_Oinf(X45,X44,X47),X47)
      | ~ c_lessequals(X46,X44,X47)
      | ~ c_lessequals(X46,X45,X47) ),
    inference(variable_rename,[status(thm)],[c_0_922]) ).

fof(c_0_1560,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Lattices_Olower__semilattice(X47)
      | c_lessequals(X46,c_Lattices_Olower__semilattice__class_Oinf(X45,X44,X47),X47)
      | ~ c_lessequals(X46,X44,X47)
      | ~ c_lessequals(X46,X45,X47) ),
    inference(variable_rename,[status(thm)],[c_0_923]) ).

fof(c_0_1561,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_Lattices_Olower__semilattice(X27)
      | c_lessequals(X24,c_Lattices_Olower__semilattice__class_Oinf(X26,X25,X27),X27)
      | ~ c_lessequals(X24,X25,X27)
      | ~ c_lessequals(X24,X26,X27) ),
    inference(variable_rename,[status(thm)],[c_0_924]) ).

fof(c_0_1562,plain,
    ! [X24,X25,X26] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X26)
      | c_Lattices_Olower__semilattice__class_Oinf(X25,X24,X26) = hAPP(c_HOL_Ouminus__class_Ouminus(X26),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X26),X25),hAPP(c_HOL_Ouminus__class_Ouminus(X26),X24),X26)) ),
    inference(variable_rename,[status(thm)],[c_0_925]) ).

fof(c_0_1563,plain,
    ! [X24,X25,X26] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X26)
      | c_Lattices_Oupper__semilattice__class_Osup(X25,X24,X26) = hAPP(c_HOL_Ouminus__class_Ouminus(X26),c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X26),X25),hAPP(c_HOL_Ouminus__class_Ouminus(X26),X24),X26)) ),
    inference(variable_rename,[status(thm)],[c_0_926]) ).

fof(c_0_1564,plain,
    ! [X24,X25,X26] :
      ( c_Set_Oinsert(X25,c_Orderings_Obot__class_Obot(tc_fun(X26,tc_bool)),X26) != c_Set_Oinsert(X24,c_Orderings_Obot__class_Obot(tc_fun(X26,tc_bool)),X26)
      | X25 = X24 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_927])])]) ).

fof(c_0_1565,plain,
    ! [X12,X13,X14] :
      ( c_Finite__Set_Ocard(c_Set_Oinsert(X12,X13,X14),X14) = c_Finite__Set_Ocard(X13,X14)
      | ~ hBOOL(c_in(X12,X13,X14))
      | ~ c_Finite__Set_Ofinite(X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_928]) ).

fof(c_0_1566,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Lattices_Oupper__semilattice(X47)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X46,X45,X47),X44,X47) = c_Lattices_Oupper__semilattice__class_Osup(X46,c_Lattices_Oupper__semilattice__class_Osup(X45,X44,X47),X47) ),
    inference(variable_rename,[status(thm)],[c_0_929]) ).

fof(c_0_1567,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Lattices_Oupper__semilattice(X47)
      | c_Lattices_Oupper__semilattice__class_Osup(X46,c_Lattices_Oupper__semilattice__class_Osup(X45,X44,X47),X47) = c_Lattices_Oupper__semilattice__class_Osup(X45,c_Lattices_Oupper__semilattice__class_Osup(X46,X44,X47),X47) ),
    inference(variable_rename,[status(thm)],[c_0_930]) ).

fof(c_0_1568,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Lattices_Olattice(X47)
      | c_Lattices_Oupper__semilattice__class_Osup(X46,c_Lattices_Oupper__semilattice__class_Osup(X45,X44,X47),X47) = c_Lattices_Oupper__semilattice__class_Osup(X45,c_Lattices_Oupper__semilattice__class_Osup(X46,X44,X47),X47) ),
    inference(variable_rename,[status(thm)],[c_0_931]) ).

fof(c_0_1569,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Lattices_Olattice(X47)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X46,X45,X47),X44,X47) = c_Lattices_Oupper__semilattice__class_Osup(X46,c_Lattices_Oupper__semilattice__class_Osup(X45,X44,X47),X47) ),
    inference(variable_rename,[status(thm)],[c_0_932]) ).

fof(c_0_1570,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Lattices_Olattice(X47)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X46,X45,X47),X44,X47) = c_Lattices_Olower__semilattice__class_Oinf(X46,c_Lattices_Olower__semilattice__class_Oinf(X45,X44,X47),X47) ),
    inference(variable_rename,[status(thm)],[c_0_933]) ).

fof(c_0_1571,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Lattices_Olattice(X47)
      | c_Lattices_Olower__semilattice__class_Oinf(X46,c_Lattices_Olower__semilattice__class_Oinf(X45,X44,X47),X47) = c_Lattices_Olower__semilattice__class_Oinf(X45,c_Lattices_Olower__semilattice__class_Oinf(X46,X44,X47),X47) ),
    inference(variable_rename,[status(thm)],[c_0_934]) ).

fof(c_0_1572,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Lattices_Olower__semilattice(X47)
      | c_Lattices_Olower__semilattice__class_Oinf(X46,c_Lattices_Olower__semilattice__class_Oinf(X45,X44,X47),X47) = c_Lattices_Olower__semilattice__class_Oinf(X45,c_Lattices_Olower__semilattice__class_Oinf(X46,X44,X47),X47) ),
    inference(variable_rename,[status(thm)],[c_0_935]) ).

fof(c_0_1573,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Lattices_Olower__semilattice(X47)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X46,X45,X47),X44,X47) = c_Lattices_Olower__semilattice__class_Oinf(X46,c_Lattices_Olower__semilattice__class_Oinf(X45,X44,X47),X47) ),
    inference(variable_rename,[status(thm)],[c_0_936]) ).

fof(c_0_1574,plain,
    ! [X24,X25,X26] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X26)
      | c_lessequals(X25,X24,X26)
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X25,X24,X26),c_HOL_Ozero__class_Ozero(X26),X26) ),
    inference(variable_rename,[status(thm)],[c_0_937]) ).

fof(c_0_1575,plain,
    ! [X24,X25,X26] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X26)
      | c_HOL_Oord__class_Oless(X25,X24,X26)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X25,X24,X26),c_HOL_Ozero__class_Ozero(X26),X26) ),
    inference(variable_rename,[status(thm)],[c_0_938]) ).

fof(c_0_1576,plain,
    ! [X31,X32,X33,X34] :
      ( ~ class_Orderings_Oorder(X34)
      | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X33,X32,X34),c_SetInterval_Oord__class_OatLeastLessThan(X32,X31,X34),tc_fun(X34,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X34,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_939]) ).

fof(c_0_1577,plain,
    ! [X33,X34,X35,X36] :
      ( c_lessequals(X35,X33,tc_fun(X36,tc_bool))
      | ~ c_lessequals(X34,X33,tc_fun(X36,tc_bool))
      | ~ c_lessequals(X35,X34,tc_fun(X36,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_940]) ).

fof(c_0_1578,plain,
    ! [X35,X36,X37,X38,X39] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
      | c_HOL_Ominus__class_Ominus(X38,X36,X39) != c_HOL_Ominus__class_Ominus(X37,X35,X39)
      | c_lessequals(X35,X37,X39)
      | ~ c_lessequals(X36,X38,X39) ),
    inference(variable_rename,[status(thm)],[c_0_941]) ).

fof(c_0_1579,plain,
    ! [X35,X36,X37,X38,X39] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
      | c_HOL_Ominus__class_Ominus(X38,X36,X39) != c_HOL_Ominus__class_Ominus(X37,X35,X39)
      | c_lessequals(X36,X38,X39)
      | ~ c_lessequals(X35,X37,X39) ),
    inference(variable_rename,[status(thm)],[c_0_942]) ).

fof(c_0_1580,plain,
    ! [X35,X36,X37,X38,X39] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
      | c_HOL_Ominus__class_Ominus(X38,X36,X39) != c_HOL_Ominus__class_Ominus(X37,X35,X39)
      | c_HOL_Oord__class_Oless(X37,X35,X39)
      | ~ c_HOL_Oord__class_Oless(X38,X36,X39) ),
    inference(variable_rename,[status(thm)],[c_0_943]) ).

fof(c_0_1581,plain,
    ! [X35,X36,X37,X38,X39] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X39)
      | c_HOL_Ominus__class_Ominus(X38,X36,X39) != c_HOL_Ominus__class_Ominus(X37,X35,X39)
      | c_HOL_Oord__class_Oless(X38,X36,X39)
      | ~ c_HOL_Oord__class_Oless(X37,X35,X39) ),
    inference(variable_rename,[status(thm)],[c_0_944]) ).

fof(c_0_1582,plain,
    ! [X43,X44,X45] :
      ( ~ class_HOL_Oord(X45)
      | c_HOL_Oord__class_Oless(X44,X43,X45)
      | ~ hBOOL(c_in(X44,c_SetInterval_Oord__class_OlessThan(X43,X45),X45)) ),
    inference(variable_rename,[status(thm)],[c_0_945]) ).

fof(c_0_1583,plain,
    ! [X31,X32,X33] :
      ( ~ class_Orderings_Olinorder(X33)
      | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X32,X33),c_SetInterval_Oord__class_OatLeastLessThan(X32,X31,X33),tc_fun(X33,tc_bool)) = c_SetInterval_Oord__class_OlessThan(X31,X33)
      | ~ c_lessequals(X32,X31,X33) ),
    inference(variable_rename,[status(thm)],[c_0_946]) ).

fof(c_0_1584,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_Lattices_Olower__semilattice(X27)
      | c_lessequals(X24,X26,X27)
      | ~ c_lessequals(X24,c_Lattices_Olower__semilattice__class_Oinf(X26,X25,X27),X27) ),
    inference(variable_rename,[status(thm)],[c_0_947]) ).

fof(c_0_1585,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_Lattices_Olower__semilattice(X27)
      | c_lessequals(X24,X25,X27)
      | ~ c_lessequals(X24,c_Lattices_Olower__semilattice__class_Oinf(X26,X25,X27),X27) ),
    inference(variable_rename,[status(thm)],[c_0_948]) ).

fof(c_0_1586,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Lattices_Olower__semilattice(X47)
      | c_lessequals(X46,X45,X47)
      | ~ c_lessequals(X46,c_Lattices_Olower__semilattice__class_Oinf(X45,X44,X47),X47) ),
    inference(variable_rename,[status(thm)],[c_0_949]) ).

fof(c_0_1587,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Lattices_Olower__semilattice(X47)
      | c_lessequals(X46,X44,X47)
      | ~ c_lessequals(X46,c_Lattices_Olower__semilattice__class_Oinf(X45,X44,X47),X47) ),
    inference(variable_rename,[status(thm)],[c_0_950]) ).

fof(c_0_1588,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Lattices_Oupper__semilattice(X47)
      | c_lessequals(X45,X44,X47)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X46,X45,X47),X44,X47) ),
    inference(variable_rename,[status(thm)],[c_0_951]) ).

fof(c_0_1589,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Lattices_Oupper__semilattice(X47)
      | c_lessequals(X46,X44,X47)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X46,X45,X47),X44,X47) ),
    inference(variable_rename,[status(thm)],[c_0_952]) ).

fof(c_0_1590,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_Lattices_Oupper__semilattice(X27)
      | c_lessequals(X25,X24,X27)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X26,X25,X27),X24,X27) ),
    inference(variable_rename,[status(thm)],[c_0_953]) ).

fof(c_0_1591,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_Lattices_Oupper__semilattice(X27)
      | c_lessequals(X26,X24,X27)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X26,X25,X27),X24,X27) ),
    inference(variable_rename,[status(thm)],[c_0_954]) ).

fof(c_0_1592,plain,
    ! [X12,X13] :
      ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X13,tc_bool)),X13)
      | ~ c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X13,tc_bool)),X12),X13)
      | ~ c_Finite__Set_Ofinite(X12,X13) ),
    inference(variable_rename,[status(thm)],[c_0_955]) ).

fof(c_0_1593,plain,
    ! [X12,X13,X14] :
      ( X13 = X12
      | ~ c_lessequals(c_Finite__Set_Ocard(X12,X14),c_Finite__Set_Ocard(X13,X14),tc_nat)
      | ~ c_lessequals(X13,X12,tc_fun(X14,tc_bool))
      | ~ c_Finite__Set_Ofinite(X12,X14) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_956])])]) ).

fof(c_0_1594,plain,
    ! [X10,X11,X12] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X12)
      | c_Finite__Set_Osetsum(X10,c_Orderings_Obot__class_Obot(tc_fun(X11,tc_bool)),X11,X12) = c_HOL_Ozero__class_Ozero(X12) ),
    inference(variable_rename,[status(thm)],[c_0_957]) ).

fof(c_0_1595,plain,
    ! [X24,X25,X26,X27] :
      ( c_lessequals(X26,c_Set_Oinsert(X24,X25,X27),tc_fun(X27,tc_bool))
      | ~ c_lessequals(X26,X25,tc_fun(X27,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_958]) ).

fof(c_0_1596,plain,
    ! [X12,X13,X14] :
      ( c_Finite__Set_Ofinite(X13,X14)
      | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X14,tc_bool)),X14)
      | ~ c_Finite__Set_Ofinite(X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_959]) ).

fof(c_0_1597,plain,
    ! [X12,X13,X14,X15] :
      ( hBOOL(hAPP(c_Set_Oinsert(X12,X14,X15),X13))
      | ~ hBOOL(hAPP(X14,X13)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_960])])]) ).

fof(c_0_1598,plain,
    ! [X4] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4),tc_nat)
      | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4) ),
    inference(variable_rename,[status(thm)],[c_0_961]) ).

fof(c_0_1599,plain,
    ! [X12,X13,X14] :
      ( c_Finite__Set_Ocard(c_Set_Oinsert(X12,X13,X14),X14) = c_Suc(c_Finite__Set_Ocard(X13,X14))
      | hBOOL(c_in(X12,X13,X14))
      | ~ c_Finite__Set_Ofinite(X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_962]) ).

fof(c_0_1600,plain,
    ! [X26,X27,X28] :
      ( hBOOL(c_in(X27,X26,X28))
      | c_Finite__Set_Ocard(c_Set_Oinsert(X27,X26,X28),X28) = c_Suc(c_Finite__Set_Ocard(X26,X28))
      | c_Finite__Set_Ocard(X26,X28) = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_963]) ).

fof(c_0_1601,plain,
    ! [X49,X50,X51] :
      ( c_Finite__Set_Ofinite(X50,X51)
      | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X50,X49,tc_fun(X51,tc_bool)),X51) ),
    inference(variable_rename,[status(thm)],[c_0_964]) ).

fof(c_0_1602,plain,
    ! [X49,X50,X51] :
      ( c_Finite__Set_Ofinite(X49,X51)
      | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X50,X49,tc_fun(X51,tc_bool)),X51) ),
    inference(variable_rename,[status(thm)],[c_0_965]) ).

fof(c_0_1603,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X15)
      | c_Finite__Set_Osetsum(X12,X13,X14,X15) = c_HOL_Ozero__class_Ozero(X15)
      | c_Finite__Set_Ofinite(X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_966]) ).

fof(c_0_1604,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X14)
      | c_Finite__Set_Osetsum(X12,X13,X15,X14) = c_HOL_Ozero__class_Ozero(X14)
      | c_Finite__Set_Ofinite(X13,X15) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_967])])]) ).

fof(c_0_1605,plain,
    ! [X18,X19,X20] :
      ( ~ class_Lattices_Olattice(X20)
      | hAPP(c_Lattices_Oupper__semilattice__class_Osup(X19,X18,tc_fun(t_a,X20)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X19,v_x),hAPP(X18,v_x),X20) ),
    inference(variable_rename,[status(thm)],[c_0_968]) ).

fof(c_0_1606,plain,
    ! [X12,X13,X14] :
      ( ~ class_HOL_Ominus(X14)
      | hAPP(c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(t_a,X14)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(X13,v_x),hAPP(X12,v_x),X14) ),
    inference(variable_rename,[status(thm)],[c_0_969]) ).

fof(c_0_1607,plain,
    ! [X18,X19,X20] :
      ( ~ class_Lattices_Olattice(X20)
      | hAPP(c_Lattices_Olower__semilattice__class_Oinf(X19,X18,tc_fun(t_a,X20)),v_x) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(X19,v_x),hAPP(X18,v_x),X20) ),
    inference(variable_rename,[status(thm)],[c_0_970]) ).

fof(c_0_1608,plain,
    ! [X12,X13] :
      ( c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X13,tc_bool)),X12),X13)
      | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X13,tc_bool)),X13)
      | ~ c_Finite__Set_Ofinite(X12,X13) ),
    inference(variable_rename,[status(thm)],[c_0_971]) ).

fof(c_0_1609,plain,
    ! [X22,X23,X24] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X24)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X24),c_Power_Opower__class_Opower(X23,X22,X24),X24)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X24),X23,X24) ),
    inference(variable_rename,[status(thm)],[c_0_972]) ).

fof(c_0_1610,plain,
    ! [X22,X23,X24] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X24)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X24),c_Power_Opower__class_Opower(X23,X22,X24),X24)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X24),X23,X24) ),
    inference(variable_rename,[status(thm)],[c_0_973]) ).

fof(c_0_1611,plain,
    ! [X24,X25,X26] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X26)
      | c_lessequals(X25,X24,X26)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X26),X24),hAPP(c_HOL_Ouminus__class_Ouminus(X26),X25),X26) ),
    inference(variable_rename,[status(thm)],[c_0_974]) ).

fof(c_0_1612,plain,
    ! [X24,X25,X26] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X26)
      | c_HOL_Oord__class_Oless(X25,X24,X26)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X26),X24),hAPP(c_HOL_Ouminus__class_Ouminus(X26),X25),X26) ),
    inference(variable_rename,[status(thm)],[c_0_975]) ).

fof(c_0_1613,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | c_lessequals(X9,X8,X10)
      | ~ c_lessequals(c_SetInterval_Oord__class_OlessThan(X9,X10),c_SetInterval_Oord__class_OlessThan(X8,X10),tc_fun(X10,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_976]) ).

fof(c_0_1614,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Oboolean__algebra(X10)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X10),c_Lattices_Olower__semilattice__class_Oinf(X9,X8,X10)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X10),X9),hAPP(c_HOL_Ouminus__class_Ouminus(X10),X8),X10) ),
    inference(variable_rename,[status(thm)],[c_0_977]) ).

fof(c_0_1615,plain,
    ! [X24,X25,X26] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X26)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X26),c_Lattices_Olower__semilattice__class_Oinf(X25,X24,X26)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X26),X25),hAPP(c_HOL_Ouminus__class_Ouminus(X26),X24),X26) ),
    inference(variable_rename,[status(thm)],[c_0_978]) ).

fof(c_0_1616,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Oboolean__algebra(X10)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X10),c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10)) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X10),X9),hAPP(c_HOL_Ouminus__class_Ouminus(X10),X8),X10) ),
    inference(variable_rename,[status(thm)],[c_0_979]) ).

fof(c_0_1617,plain,
    ! [X24,X25,X26] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X26)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X26),c_Lattices_Oupper__semilattice__class_Osup(X25,X24,X26)) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X26),X25),hAPP(c_HOL_Ouminus__class_Ouminus(X26),X24),X26) ),
    inference(variable_rename,[status(thm)],[c_0_980]) ).

fof(c_0_1618,plain,
    ! [X12,X13,X14] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X14)
      | c_lessequals(X12,c_Complete__Lattice_OSup__class_OSup(X13,X14),X14)
      | ~ hBOOL(c_in(X12,X13,X14)) ),
    inference(variable_rename,[status(thm)],[c_0_981]) ).

fof(c_0_1619,plain,
    ! [X24,X25,X26] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X26)
      | c_lessequals(c_HOL_Ominus__class_Ominus(X25,X24,X26),c_HOL_Ozero__class_Ozero(X26),X26)
      | ~ c_lessequals(X25,X24,X26) ),
    inference(variable_rename,[status(thm)],[c_0_982]) ).

fof(c_0_1620,plain,
    ! [X24,X25,X26] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X26)
      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X25,X24,X26),c_HOL_Ozero__class_Ozero(X26),X26)
      | ~ c_HOL_Oord__class_Oless(X25,X24,X26) ),
    inference(variable_rename,[status(thm)],[c_0_983]) ).

fof(c_0_1621,plain,
    ! [X12,X13] :
      ( c_Finite__Set_Ocard(X12,X13) != c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X13,tc_bool)),X13)
      | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X13,tc_bool)),X13)
      | X12 = c_Orderings_Otop__class_Otop(tc_fun(X13,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_984]) ).

fof(c_0_1622,plain,
    ! [X43,X44,X45] :
      ( ~ class_HOL_Oord(X45)
      | hBOOL(c_in(X44,c_SetInterval_Oord__class_OlessThan(X43,X45),X45))
      | ~ c_HOL_Oord__class_Oless(X44,X43,X45) ),
    inference(variable_rename,[status(thm)],[c_0_985]) ).

fof(c_0_1623,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_Lattices_Olower__semilattice(X27)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X26,X25,X27),X24,X27)
      | ~ c_lessequals(X26,X24,X27) ),
    inference(variable_rename,[status(thm)],[c_0_986]) ).

fof(c_0_1624,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_Lattices_Olower__semilattice(X27)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X26,X25,X27),X24,X27)
      | ~ c_lessequals(X25,X24,X27) ),
    inference(variable_rename,[status(thm)],[c_0_987]) ).

fof(c_0_1625,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_Lattices_Olower__semilattice(X27)
      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X26,X25,X27),X24,X27)
      | ~ c_HOL_Oord__class_Oless(X25,X24,X27) ),
    inference(variable_rename,[status(thm)],[c_0_988]) ).

fof(c_0_1626,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_Lattices_Olower__semilattice(X27)
      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X26,X25,X27),X24,X27)
      | ~ c_HOL_Oord__class_Oless(X26,X24,X27) ),
    inference(variable_rename,[status(thm)],[c_0_989]) ).

fof(c_0_1627,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_Lattices_Oupper__semilattice(X27)
      | c_HOL_Oord__class_Oless(X24,c_Lattices_Oupper__semilattice__class_Osup(X26,X25,X27),X27)
      | ~ c_HOL_Oord__class_Oless(X24,X26,X27) ),
    inference(variable_rename,[status(thm)],[c_0_990]) ).

fof(c_0_1628,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_Lattices_Oupper__semilattice(X27)
      | c_HOL_Oord__class_Oless(X24,c_Lattices_Oupper__semilattice__class_Osup(X26,X25,X27),X27)
      | ~ c_HOL_Oord__class_Oless(X24,X25,X27) ),
    inference(variable_rename,[status(thm)],[c_0_991]) ).

fof(c_0_1629,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_Lattices_Oupper__semilattice(X27)
      | c_lessequals(X24,c_Lattices_Oupper__semilattice__class_Osup(X26,X25,X27),X27)
      | ~ c_lessequals(X24,X25,X27) ),
    inference(variable_rename,[status(thm)],[c_0_992]) ).

fof(c_0_1630,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_Lattices_Oupper__semilattice(X27)
      | c_lessequals(X24,c_Lattices_Oupper__semilattice__class_Osup(X26,X25,X27),X27)
      | ~ c_lessequals(X24,X26,X27) ),
    inference(variable_rename,[status(thm)],[c_0_993]) ).

fof(c_0_1631,plain,
    ! [X12,X13,X14] :
      ( c_lessequals(c_Finite__Set_Ocard(X13,X14),c_Finite__Set_Ocard(X12,X14),tc_nat)
      | ~ c_lessequals(X13,X12,tc_fun(X14,tc_bool))
      | ~ c_Finite__Set_Ofinite(X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_994]) ).

fof(c_0_1632,plain,
    ! [X12,X13,X14] :
      ( X13 = X12
      | ~ c_lessequals(X12,X13,tc_fun(X14,tc_bool))
      | ~ c_lessequals(X13,X12,tc_fun(X14,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_995])])]) ).

fof(c_0_1633,plain,
    ! [X12,X13,X14] :
      ( X13 = X12
      | ~ c_lessequals(X12,X13,tc_fun(X14,tc_bool))
      | ~ c_lessequals(X13,X12,tc_fun(X14,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_996])])]) ).

fof(c_0_1634,plain,
    ! [X24,X25,X26] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X26)
      | c_lessequals(X24,hAPP(c_HOL_Ouminus__class_Ouminus(X26),X25),X26)
      | ~ c_lessequals(X25,hAPP(c_HOL_Ouminus__class_Ouminus(X26),X24),X26) ),
    inference(variable_rename,[status(thm)],[c_0_997]) ).

fof(c_0_1635,plain,
    ! [X24,X25,X26] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X26)
      | c_lessequals(X25,hAPP(c_HOL_Ouminus__class_Ouminus(X26),X24),X26)
      | ~ c_lessequals(X24,hAPP(c_HOL_Ouminus__class_Ouminus(X26),X25),X26) ),
    inference(variable_rename,[status(thm)],[c_0_998]) ).

fof(c_0_1636,plain,
    ! [X24,X25,X26] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X26)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X26),X24),X25,X26)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X26),X25),X24,X26) ),
    inference(variable_rename,[status(thm)],[c_0_999]) ).

fof(c_0_1637,plain,
    ! [X24,X25,X26] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X26)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X26),X25),X24,X26)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X26),X24),X25,X26) ),
    inference(variable_rename,[status(thm)],[c_0_1000]) ).

fof(c_0_1638,plain,
    ! [X24,X25,X26] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X26)
      | c_HOL_Oord__class_Oless(X24,hAPP(c_HOL_Ouminus__class_Ouminus(X26),X25),X26)
      | ~ c_HOL_Oord__class_Oless(X25,hAPP(c_HOL_Ouminus__class_Ouminus(X26),X24),X26) ),
    inference(variable_rename,[status(thm)],[c_0_1001]) ).

fof(c_0_1639,plain,
    ! [X24,X25,X26] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X26)
      | c_HOL_Oord__class_Oless(X25,hAPP(c_HOL_Ouminus__class_Ouminus(X26),X24),X26)
      | ~ c_HOL_Oord__class_Oless(X24,hAPP(c_HOL_Ouminus__class_Ouminus(X26),X25),X26) ),
    inference(variable_rename,[status(thm)],[c_0_1002]) ).

fof(c_0_1640,plain,
    ! [X24,X25,X26] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X26)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X26),X24),X25,X26)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X26),X25),X24,X26) ),
    inference(variable_rename,[status(thm)],[c_0_1003]) ).

fof(c_0_1641,plain,
    ! [X24,X25,X26] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X26)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X26),X25),X24,X26)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X26),X24),X25,X26) ),
    inference(variable_rename,[status(thm)],[c_0_1004]) ).

fof(c_0_1642,plain,
    ! [X31,X32,X33] :
      ( ~ class_Orderings_Oorder(X33)
      | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(X32,X33),c_SetInterval_Oord__class_OatLeastLessThan(X32,X31,X33),tc_fun(X33,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X33,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_1005]) ).

fof(c_0_1643,plain,
    ! [X12,X13,X14] :
      ( c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X14,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X14,tc_bool))
      | c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X14,tc_bool)) = X13 ),
    inference(variable_rename,[status(thm)],[c_0_1006]) ).

fof(c_0_1644,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_HOL_Oord(X21)
      | c_lessequals(hAPP(X20,X18),hAPP(X19,X18),X21)
      | ~ c_lessequals(X20,X19,tc_fun(X22,X21)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1007])])]) ).

fof(c_0_1645,plain,
    ! [X26,X27,X28] :
      ( c_Set_Oinsert(X27,X26,X28) != c_Orderings_Obot__class_Obot(tc_fun(X28,tc_bool))
      | hBOOL(c_in(X27,X26,X28)) ),
    inference(variable_rename,[status(thm)],[c_0_1008]) ).

fof(c_0_1646,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Orderings_Opreorder(X47)
      | c_HOL_Oord__class_Oless(X46,X44,X47)
      | ~ c_HOL_Oord__class_Oless(X45,X44,X47)
      | ~ c_HOL_Oord__class_Oless(X46,X45,X47) ),
    inference(variable_rename,[status(thm)],[c_0_1009]) ).

fof(c_0_1647,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Orderings_Oorder(X47)
      | c_HOL_Oord__class_Oless(X44,X46,X47)
      | ~ c_HOL_Oord__class_Oless(X44,X45,X47)
      | ~ c_HOL_Oord__class_Oless(X45,X46,X47) ),
    inference(variable_rename,[status(thm)],[c_0_1010]) ).

fof(c_0_1648,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Orderings_Oorder(X47)
      | c_lessequals(X44,X46,X47)
      | ~ c_lessequals(X44,X45,X47)
      | ~ c_lessequals(X45,X46,X47) ),
    inference(variable_rename,[status(thm)],[c_0_1011]) ).

fof(c_0_1649,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Orderings_Oorder(X47)
      | c_HOL_Oord__class_Oless(X44,X46,X47)
      | ~ c_lessequals(X44,X45,X47)
      | ~ c_HOL_Oord__class_Oless(X45,X46,X47) ),
    inference(variable_rename,[status(thm)],[c_0_1012]) ).

fof(c_0_1650,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Orderings_Oorder(X47)
      | c_HOL_Oord__class_Oless(X44,X46,X47)
      | ~ c_HOL_Oord__class_Oless(X44,X45,X47)
      | ~ c_lessequals(X45,X46,X47) ),
    inference(variable_rename,[status(thm)],[c_0_1013]) ).

fof(c_0_1651,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Orderings_Opreorder(X47)
      | c_lessequals(X46,X44,X47)
      | ~ c_lessequals(X45,X44,X47)
      | ~ c_lessequals(X46,X45,X47) ),
    inference(variable_rename,[status(thm)],[c_0_1014]) ).

fof(c_0_1652,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Orderings_Opreorder(X47)
      | c_HOL_Oord__class_Oless(X46,X44,X47)
      | ~ c_HOL_Oord__class_Oless(X45,X44,X47)
      | ~ c_lessequals(X46,X45,X47) ),
    inference(variable_rename,[status(thm)],[c_0_1015]) ).

fof(c_0_1653,plain,
    ! [X44,X45,X46,X47] :
      ( ~ class_Orderings_Opreorder(X47)
      | c_HOL_Oord__class_Oless(X46,X44,X47)
      | ~ c_lessequals(X45,X44,X47)
      | ~ c_HOL_Oord__class_Oless(X46,X45,X47) ),
    inference(variable_rename,[status(thm)],[c_0_1016]) ).

fof(c_0_1654,plain,
    ! [X14,X15] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X15)
      | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X14,c_Orderings_Obot__class_Obot(tc_fun(X15,tc_bool)),X15),X15) = X14 ),
    inference(variable_rename,[status(thm)],[c_0_1017]) ).

fof(c_0_1655,plain,
    ! [X12,X13] :
      ( X12 = c_Orderings_Obot__class_Obot(tc_fun(X13,tc_bool))
      | ~ c_lessequals(X12,c_Orderings_Obot__class_Obot(tc_fun(X13,tc_bool)),tc_fun(X13,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_1018]) ).

fof(c_0_1656,plain,
    ! [X14,X15,X16] :
      ( c_Set_Oinsert(X14,X15,X16) = X15
      | ~ hBOOL(c_in(X14,X15,X16)) ),
    inference(variable_rename,[status(thm)],[c_0_1019]) ).

fof(c_0_1657,plain,
    ! [X29,X30,X31] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X31)
      | c_lessequals(X30,X29,tc_nat)
      | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X30,X31),c_Nat_Osemiring__1__class_Oof__nat(X29,X31),X31) ),
    inference(variable_rename,[status(thm)],[c_0_1020]) ).

fof(c_0_1658,plain,
    ! [X29,X30,X31] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X31)
      | c_HOL_Oord__class_Oless(X30,X29,tc_nat)
      | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X30,X31),c_Nat_Osemiring__1__class_Oof__nat(X29,X31),X31) ),
    inference(variable_rename,[status(thm)],[c_0_1021]) ).

fof(c_0_1659,plain,
    ! [X47,X48,X49] :
      ( c_HOL_Oord__class_Oless(c_Suc(X49),X47,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X48,X47,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X49,X48,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1022]) ).

fof(c_0_1660,plain,
    ! [X24,X25,X26] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X26)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X26),X24),hAPP(c_HOL_Ouminus__class_Ouminus(X26),X25),X26)
      | ~ c_lessequals(X25,X24,X26) ),
    inference(variable_rename,[status(thm)],[c_0_1023]) ).

fof(c_0_1661,plain,
    ! [X24,X25,X26] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X26)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X26),X24),hAPP(c_HOL_Ouminus__class_Ouminus(X26),X25),X26)
      | ~ c_HOL_Oord__class_Oless(X25,X24,X26) ),
    inference(variable_rename,[status(thm)],[c_0_1024]) ).

fof(c_0_1662,plain,
    ! [X14,X15] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X15)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X15),X14,X15)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14),c_HOL_Ozero__class_Ozero(X15),X15) ),
    inference(variable_rename,[status(thm)],[c_0_1025]) ).

fof(c_0_1663,plain,
    ! [X14,X15] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X15)
      | c_lessequals(X14,c_HOL_Ozero__class_Ozero(X15),X15)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X15),hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14),X15) ),
    inference(variable_rename,[status(thm)],[c_0_1026]) ).

fof(c_0_1664,plain,
    ! [X14,X15] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X15)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X15),X14,X15)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14),c_HOL_Ozero__class_Ozero(X15),X15) ),
    inference(variable_rename,[status(thm)],[c_0_1027]) ).

fof(c_0_1665,plain,
    ! [X14,X15] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X15)
      | c_HOL_Oord__class_Oless(X14,c_HOL_Ozero__class_Ozero(X15),X15)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X15),hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14),X15) ),
    inference(variable_rename,[status(thm)],[c_0_1028]) ).

fof(c_0_1666,plain,
    ! [X14,X15] :
      ( ~ class_Orderings_Olinorder(X15)
      | ~ class_OrderedGroup_Olordered__ab__group__add(X15)
      | c_Lattices_Oupper__semilattice__class_Osup(X14,hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14),X15) = hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14)
      | ~ c_HOL_Oord__class_Oless(X14,c_HOL_Ozero__class_Ozero(X15),X15) ),
    inference(variable_rename,[status(thm)],[c_0_1029]) ).

fof(c_0_1667,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | c_lessequals(c_SetInterval_Oord__class_OlessThan(X9,X10),c_SetInterval_Oord__class_OlessThan(X8,X10),tc_fun(X10,tc_bool))
      | ~ c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1030]) ).

fof(c_0_1668,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Oupper__semilattice(X10)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10),X10) = c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1031]) ).

fof(c_0_1669,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Olattice(X10)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10),X10) = c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1032]) ).

fof(c_0_1670,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Olattice(X10)
      | c_Lattices_Olower__semilattice__class_Oinf(X9,c_Lattices_Olower__semilattice__class_Oinf(X9,X8,X10),X10) = c_Lattices_Olower__semilattice__class_Oinf(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1033]) ).

fof(c_0_1671,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Olower__semilattice(X10)
      | c_Lattices_Olower__semilattice__class_Oinf(X9,c_Lattices_Olower__semilattice__class_Oinf(X9,X8,X10),X10) = c_Lattices_Olower__semilattice__class_Oinf(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1034]) ).

fof(c_0_1672,plain,
    ! [X24,X25,X26] :
      ( ~ class_Orderings_Oorder(X26)
      | c_Orderings_Obot__class_Obot(tc_fun(X26,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(X25,X24,X26)
      | ~ c_HOL_Oord__class_Oless(X25,X24,X26) ),
    inference(variable_rename,[status(thm)],[c_0_1035]) ).

fof(c_0_1673,plain,
    ! [X24,X25,X26] :
      ( ~ class_Orderings_Oorder(X26)
      | c_SetInterval_Oord__class_OatLeastLessThan(X25,X24,X26) != c_Orderings_Obot__class_Obot(tc_fun(X26,tc_bool))
      | ~ c_HOL_Oord__class_Oless(X25,X24,X26) ),
    inference(variable_rename,[status(thm)],[c_0_1036]) ).

fof(c_0_1674,plain,
    ! [X47,X48,X49] :
      ( c_lessequals(X49,X47,tc_nat)
      | ~ c_lessequals(X48,X47,tc_nat)
      | ~ c_lessequals(X49,X48,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1037]) ).

fof(c_0_1675,plain,
    ! [X14,X15] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X15)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X15),X14,X15)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14),X14,X15) ),
    inference(variable_rename,[status(thm)],[c_0_1038]) ).

fof(c_0_1676,plain,
    ! [X14,X15] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X15)
      | c_lessequals(X14,c_HOL_Ozero__class_Ozero(X15),X15)
      | ~ c_lessequals(X14,hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14),X15) ),
    inference(variable_rename,[status(thm)],[c_0_1039]) ).

fof(c_0_1677,plain,
    ! [X14,X15] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X15)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X15),X14,X15)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14),X14,X15) ),
    inference(variable_rename,[status(thm)],[c_0_1040]) ).

fof(c_0_1678,plain,
    ! [X14,X15] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X15)
      | c_lessequals(X14,c_HOL_Ozero__class_Ozero(X15),X15)
      | ~ c_lessequals(X14,hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14),X15) ),
    inference(variable_rename,[status(thm)],[c_0_1041]) ).

fof(c_0_1679,plain,
    ! [X14,X15] :
      ( ~ class_Ring__and__Field_Oordered__idom(X15)
      | c_HOL_Oord__class_Oless(X14,c_HOL_Ozero__class_Ozero(X15),X15)
      | ~ c_HOL_Oord__class_Oless(X14,hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14),X15) ),
    inference(variable_rename,[status(thm)],[c_0_1042]) ).

fof(c_0_1680,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Oboolean__algebra(X10)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10) != c_Orderings_Otop__class_Otop(X10)
      | c_Lattices_Olower__semilattice__class_Oinf(X9,X8,X10) != c_Orderings_Obot__class_Obot(X10)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X10),X9) = X8 ),
    inference(variable_rename,[status(thm)],[c_0_1043]) ).

fof(c_0_1681,plain,
    ! [X12,X13,X14] :
      ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X14,tc_bool)),X14)
      | ~ c_Finite__Set_Ofinite(X13,X14)
      | ~ c_Finite__Set_Ofinite(X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_1044]) ).

fof(c_0_1682,plain,
    ! [X49,X50,X51] :
      ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X50,X49,tc_fun(X51,tc_bool)),X51)
      | ~ c_Finite__Set_Ofinite(X49,X51)
      | ~ c_Finite__Set_Ofinite(X50,X51) ),
    inference(variable_rename,[status(thm)],[c_0_1045]) ).

fof(c_0_1683,plain,
    ! [X49,X50,X51] :
      ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X50,X49,tc_fun(X51,tc_bool)),X51)
      | ~ c_Finite__Set_Ofinite(X49,X51)
      | ~ c_Finite__Set_Ofinite(X50,X51) ),
    inference(variable_rename,[status(thm)],[c_0_1046]) ).

fof(c_0_1684,plain,
    ! [X12,X13,X14] :
      ( hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X14,tc_bool)),X13) != hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X14,tc_bool)),X12)
      | X13 = X12 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1047])])]) ).

fof(c_0_1685,plain,
    ! [X14,X15,X16] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X16)
      | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X14,X15,X16),X16) = c_Lattices_Oupper__semilattice__class_Osup(X14,c_Complete__Lattice_OSup__class_OSup(X15,X16),X16) ),
    inference(variable_rename,[status(thm)],[c_0_1048]) ).

fof(c_0_1686,plain,
    ! [X48,X49,X50] :
      ( hBOOL(hAPP(X49,X48))
      | ~ hBOOL(c_in(X48,X49,X50)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1049])])]) ).

fof(c_0_1687,plain,
    ! [X14,X15,X16] :
      ( c_Finite__Set_Ofinite(X15,X16)
      | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X14,X15,X16),X16) ),
    inference(variable_rename,[status(thm)],[c_0_1050]) ).

fof(c_0_1688,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Opreorder(X10)
      | c_HOL_Oord__class_Oless(X9,X8,X10)
      | c_lessequals(X8,X9,X10)
      | ~ c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1051]) ).

fof(c_0_1689,plain,
    ! [X14,X15] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X15)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14),c_HOL_Ozero__class_Ozero(X15),X15)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X15),X14,X15) ),
    inference(variable_rename,[status(thm)],[c_0_1052]) ).

fof(c_0_1690,plain,
    ! [X14,X15] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X15)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X15),hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14),X15)
      | ~ c_lessequals(X14,c_HOL_Ozero__class_Ozero(X15),X15) ),
    inference(variable_rename,[status(thm)],[c_0_1053]) ).

fof(c_0_1691,plain,
    ! [X14,X15] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X15)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14),c_HOL_Ozero__class_Ozero(X15),X15)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X15),X14,X15) ),
    inference(variable_rename,[status(thm)],[c_0_1054]) ).

fof(c_0_1692,plain,
    ! [X14,X15] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X15)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X15),hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14),X15)
      | ~ c_HOL_Oord__class_Oless(X14,c_HOL_Ozero__class_Ozero(X15),X15) ),
    inference(variable_rename,[status(thm)],[c_0_1055]) ).

fof(c_0_1693,plain,
    ! [X12,X13,X14] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X14,tc_bool)) != X12
      | c_lessequals(X13,X12,tc_fun(X14,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_1056]) ).

fof(c_0_1694,plain,
    ! [X12,X13,X14] :
      ( c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X14,tc_bool)) = X13
      | ~ c_lessequals(X13,X12,tc_fun(X14,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_1057]) ).

fof(c_0_1695,plain,
    ! [X12,X13,X14] :
      ( c_Lattices_Olower__semilattice__class_Oinf(X13,X12,tc_fun(X14,tc_bool)) = X12
      | ~ c_lessequals(X12,X13,tc_fun(X14,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_1058]) ).

fof(c_0_1696,plain,
    ! [X12,X13,X14] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X14,tc_bool)) = X12
      | ~ c_lessequals(X13,X12,tc_fun(X14,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_1059]) ).

fof(c_0_1697,plain,
    ! [X12,X13,X14] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X14,tc_bool)) = X13
      | ~ c_lessequals(X12,X13,tc_fun(X14,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_1060]) ).

fof(c_0_1698,plain,
    ! [X45,X46,X47,X48] :
      ( hBOOL(hAPP(X46,X45))
      | ~ hBOOL(hAPP(X47,X45))
      | ~ c_lessequals(X47,X46,tc_fun(X48,tc_bool)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1061])])]) ).

fof(c_0_1699,plain,
    ! [X45,X46,X47,X48] :
      ( hBOOL(hAPP(X46,X45))
      | ~ c_lessequals(X47,X46,tc_fun(X48,tc_bool))
      | ~ hBOOL(hAPP(X47,X45)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1062])])]) ).

fof(c_0_1700,plain,
    ! [X22,X23] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X23)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X22,tc_nat)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X23),c_Nat_Osemiring__1__class_Oof__nat(X22,X23),X23) ),
    inference(variable_rename,[status(thm)],[c_0_1063]) ).

fof(c_0_1701,plain,
    ! [X29,X30,X31] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X31)
      | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X30,X31),c_Nat_Osemiring__1__class_Oof__nat(X29,X31),X31)
      | ~ c_lessequals(X30,X29,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1064]) ).

fof(c_0_1702,plain,
    ! [X29,X30,X31] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X31)
      | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X30,X31),c_Nat_Osemiring__1__class_Oof__nat(X29,X31),X31)
      | ~ c_HOL_Oord__class_Oless(X30,X29,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1065]) ).

fof(c_0_1703,plain,
    ! [X14,X15] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X15)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14),X14,X15)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X15),X14,X15) ),
    inference(variable_rename,[status(thm)],[c_0_1066]) ).

fof(c_0_1704,plain,
    ! [X14,X15] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X15)
      | c_lessequals(X14,hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14),X15)
      | ~ c_lessequals(X14,c_HOL_Ozero__class_Ozero(X15),X15) ),
    inference(variable_rename,[status(thm)],[c_0_1067]) ).

fof(c_0_1705,plain,
    ! [X14,X15] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X15)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14),X14,X15)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X15),X14,X15) ),
    inference(variable_rename,[status(thm)],[c_0_1068]) ).

fof(c_0_1706,plain,
    ! [X14,X15] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X15)
      | c_lessequals(X14,hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14),X15)
      | ~ c_lessequals(X14,c_HOL_Ozero__class_Ozero(X15),X15) ),
    inference(variable_rename,[status(thm)],[c_0_1069]) ).

fof(c_0_1707,plain,
    ! [X14,X15] :
      ( ~ class_Ring__and__Field_Oordered__idom(X15)
      | c_HOL_Oord__class_Oless(X14,hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14),X15)
      | ~ c_HOL_Oord__class_Oless(X14,c_HOL_Ozero__class_Ozero(X15),X15) ),
    inference(variable_rename,[status(thm)],[c_0_1070]) ).

fof(c_0_1708,plain,
    ! [X12,X13] :
      ( ~ class_HOL_Ouminus(X13)
      | hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(t_a,X13)),X12),v_x) = hAPP(c_HOL_Ouminus__class_Ouminus(X13),hAPP(X12,v_x)) ),
    inference(variable_rename,[status(thm)],[c_0_1071]) ).

fof(c_0_1709,plain,
    ! [X12,X13,X14] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X14,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X14,tc_bool))
      | X12 = c_Orderings_Obot__class_Obot(tc_fun(X14,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_1072]) ).

fof(c_0_1710,plain,
    ! [X12,X13,X14] :
      ( c_Lattices_Oupper__semilattice__class_Osup(X13,X12,tc_fun(X14,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X14,tc_bool))
      | X13 = c_Orderings_Obot__class_Obot(tc_fun(X14,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_1073]) ).

fof(c_0_1711,plain,
    ! [X29,X30,X31] :
      ( hBOOL(hAPP(hAPP(X31,X29),X30))
      | c_HOL_Oord__class_Oless(X29,X30,tc_nat)
      | X30 = X29
      | c_HOL_Oord__class_Oless(X30,X29,tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1074])])]) ).

fof(c_0_1712,plain,
    ! [X12,X13,X14] :
      ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X13,X12,tc_fun(X14,tc_bool)),X14)
      | ~ c_Finite__Set_Ofinite(X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_1075]) ).

fof(c_0_1713,plain,
    ! [X49,X50,X51] :
      ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X50,X49,tc_fun(X51,tc_bool)),X51)
      | ~ c_Finite__Set_Ofinite(X49,X51) ),
    inference(variable_rename,[status(thm)],[c_0_1076]) ).

fof(c_0_1714,plain,
    ! [X49,X50,X51] :
      ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X50,X49,tc_fun(X51,tc_bool)),X51)
      | ~ c_Finite__Set_Ofinite(X50,X51) ),
    inference(variable_rename,[status(thm)],[c_0_1077]) ).

fof(c_0_1715,plain,
    ! [X24,X25,X26] :
      ( ~ class_OrderedGroup_Oab__group__add(X26)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X26),c_HOL_Ominus__class_Ominus(X25,X24,X26)) = c_HOL_Ominus__class_Ominus(X24,X25,X26) ),
    inference(variable_rename,[status(thm)],[c_0_1078]) ).

fof(c_0_1716,plain,
    ! [X22,X23] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X23)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X23),c_Nat_Osemiring__1__class_Oof__nat(X22,X23),X23)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X22,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1079]) ).

fof(c_0_1717,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Oorder(X10)
      | X9 = X8
      | ~ c_lessequals(X8,X9,X10)
      | ~ c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1080]) ).

fof(c_0_1718,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Oorder(X10)
      | X9 = X8
      | ~ c_lessequals(X8,X9,X10)
      | ~ c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1081]) ).

fof(c_0_1719,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Oorder(X10)
      | X9 = X8
      | ~ c_lessequals(X9,X8,X10)
      | ~ c_lessequals(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1082]) ).

fof(c_0_1720,plain,
    ! [X26,X27,X28,X29] :
      ( ~ class_OrderedGroup_Oab__group__add(X29)
      | c_HOL_Ominus__class_Ominus(X27,X26,X29) != c_HOL_Ominus__class_Ominus(X28,X28,X29)
      | X27 = X26 ),
    inference(variable_rename,[status(thm)],[c_0_1083]) ).

fof(c_0_1721,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_OrderedGroup_Oab__group__add(X38)
      | c_HOL_Ominus__class_Ominus(X37,X37,X38) != c_HOL_Ominus__class_Ominus(X36,X35,X38)
      | X36 = X35 ),
    inference(variable_rename,[status(thm)],[c_0_1084]) ).

fof(c_0_1722,plain,
    ! [X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | ~ c_lessequals(X8,X8,X9)
      | ~ c_HOL_Oord__class_Oless(X8,X8,X9) ),
    inference(variable_rename,[status(thm)],[c_0_1085]) ).

fof(c_0_1723,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | ~ c_HOL_Oord__class_Oless(X9,X8,X10)
      | ~ c_lessequals(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1086]) ).

fof(c_0_1724,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | ~ c_lessequals(X9,X8,X10)
      | ~ c_HOL_Oord__class_Oless(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1087]) ).

fof(c_0_1725,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Opreorder(X10)
      | ~ c_lessequals(X8,X9,X10)
      | ~ c_HOL_Oord__class_Oless(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1088]) ).

fof(c_0_1726,plain,
    ! [X24,X25,X26] :
      ( ~ class_Orderings_Oorder(X26)
      | ~ c_HOL_Oord__class_Oless(X25,X24,X26)
      | ~ c_HOL_Oord__class_Oless(X24,X25,X26) ),
    inference(variable_rename,[status(thm)],[c_0_1089]) ).

fof(c_0_1727,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | ~ c_HOL_Oord__class_Oless(X9,X8,X10)
      | ~ c_HOL_Oord__class_Oless(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1090]) ).

fof(c_0_1728,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Opreorder(X10)
      | ~ c_HOL_Oord__class_Oless(X8,X9,X10)
      | ~ c_HOL_Oord__class_Oless(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1091]) ).

fof(c_0_1729,plain,
    ! [X24,X25,X26] :
      ( ~ class_Orderings_Opreorder(X26)
      | ~ c_HOL_Oord__class_Oless(X24,X25,X26)
      | ~ c_HOL_Oord__class_Oless(X25,X24,X26) ),
    inference(variable_rename,[status(thm)],[c_0_1092]) ).

fof(c_0_1730,plain,
    ! [X29,X30] :
      ( X29 = X30
      | ~ c_HOL_Oord__class_Oless(X29,c_Suc(X30),tc_nat)
      | ~ c_lessequals(X30,X29,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1093]) ).

fof(c_0_1731,plain,
    ! [X29,X30] :
      ( ~ c_lessequals(X30,X29,tc_nat)
      | ~ c_lessequals(c_Suc(X29),X30,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1094]) ).

fof(c_0_1732,plain,
    ! [X29,X30] :
      ( ~ c_HOL_Oord__class_Oless(X30,X29,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X29,c_Suc(X30),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1095]) ).

fof(c_0_1733,plain,
    ! [X24,X25,X26] :
      ( ~ class_Orderings_Oorder(X26)
      | c_SetInterval_Oord__class_OatLeastLessThan(X25,X24,X26) = c_Orderings_Obot__class_Obot(tc_fun(X26,tc_bool))
      | ~ c_lessequals(X24,X25,X26) ),
    inference(variable_rename,[status(thm)],[c_0_1096]) ).

fof(c_0_1734,plain,
    ! [X29,X30] :
      ( X30 = X29
      | ~ c_lessequals(X29,X30,tc_nat)
      | ~ c_lessequals(X30,X29,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1097]) ).

fof(c_0_1735,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Olattice(X10)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,c_Lattices_Olower__semilattice__class_Oinf(X9,X8,X10),X10) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_1098]) ).

fof(c_0_1736,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Olattice(X10)
      | c_Lattices_Olower__semilattice__class_Oinf(X9,c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10),X10) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_1099]) ).

fof(c_0_1737,plain,
    ! [X14,X15] :
      ( ~ class_Orderings_Olinorder(X15)
      | ~ class_OrderedGroup_Olordered__ab__group__add(X15)
      | c_Lattices_Oupper__semilattice__class_Osup(X14,hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14),X15) = X14
      | c_HOL_Oord__class_Oless(X14,c_HOL_Ozero__class_Ozero(X15),X15) ),
    inference(variable_rename,[status(thm)],[c_0_1100]) ).

fof(c_0_1738,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Oupper__semilattice(X10)
      | c_lessequals(X9,c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1101]) ).

fof(c_0_1739,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Oupper__semilattice(X10)
      | c_lessequals(X8,c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1102]) ).

fof(c_0_1740,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Olattice(X10)
      | c_lessequals(X8,c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1103]) ).

fof(c_0_1741,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Olattice(X10)
      | c_lessequals(X9,c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1104]) ).

fof(c_0_1742,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Olattice(X10)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X9,X8,X10),X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1105]) ).

fof(c_0_1743,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Olattice(X10)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X9,X8,X10),X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1106]) ).

fof(c_0_1744,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Olower__semilattice(X10)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X9,X8,X10),X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1107]) ).

fof(c_0_1745,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Olower__semilattice(X10)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X9,X8,X10),X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1108]) ).

fof(c_0_1746,plain,
    ! [X14,X15] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X15)
      | c_Lattices_Olower__semilattice__class_Oinf(X14,hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14),X15) != c_HOL_Ozero__class_Ozero(X15)
      | X14 = c_HOL_Ozero__class_Ozero(X15) ),
    inference(variable_rename,[status(thm)],[c_0_1109]) ).

fof(c_0_1747,plain,
    ! [X14,X15] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X15)
      | c_Lattices_Oupper__semilattice__class_Osup(X14,hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14),X15) != c_HOL_Ozero__class_Ozero(X15)
      | X14 = c_HOL_Ozero__class_Ozero(X15) ),
    inference(variable_rename,[status(thm)],[c_0_1110]) ).

fof(c_0_1748,plain,
    ! [X12,X13,X14] :
      ( c_Finite__Set_Ofinite(X13,X14)
      | ~ c_Finite__Set_Ofinite(X12,X14)
      | ~ c_lessequals(X13,X12,tc_fun(X14,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_1111]) ).

fof(c_0_1749,plain,
    ! [X12,X13,X14] :
      ( c_Finite__Set_Ofinite(X13,X14)
      | ~ c_lessequals(X13,X12,tc_fun(X14,tc_bool))
      | ~ c_Finite__Set_Ofinite(X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_1112]) ).

fof(c_0_1750,plain,
    ! [X48,X49,X50] :
      ( hBOOL(c_in(X48,X49,X50))
      | ~ hBOOL(hAPP(X49,X48)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1113])])]) ).

fof(c_0_1751,plain,
    ! [X29,X30] :
      ( c_HOL_Oord__class_Oless(X30,X29,tc_nat)
      | ~ c_HOL_Oord__class_Oless(c_Suc(X30),c_Suc(X29),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1114]) ).

fof(c_0_1752,plain,
    ! [X29,X30] :
      ( c_lessequals(X29,X30,tc_nat)
      | ~ c_lessequals(c_Suc(X29),c_Suc(X30),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1115]) ).

fof(c_0_1753,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Oboolean__algebra(X10)
      | c_HOL_Ominus__class_Ominus(X9,X8,X10) = c_Lattices_Olower__semilattice__class_Oinf(X9,hAPP(c_HOL_Ouminus__class_Ouminus(X10),X8),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1116]) ).

fof(c_0_1754,plain,
    ! [X29,X30] :
      ( X30 = c_Suc(X29)
      | c_lessequals(X30,X29,tc_nat)
      | ~ c_lessequals(X30,c_Suc(X29),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1117]) ).

fof(c_0_1755,plain,
    ! [X24,X25,X26] :
      ( ~ class_Orderings_Oorder(X26)
      | c_HOL_Oord__class_Oless(X24,X25,X26)
      | X25 = X24
      | ~ c_lessequals(X24,X25,X26) ),
    inference(variable_rename,[status(thm)],[c_0_1118]) ).

fof(c_0_1756,plain,
    ! [X24,X25,X26] :
      ( ~ class_Orderings_Oorder(X26)
      | c_HOL_Oord__class_Oless(X24,X25,X26)
      | ~ c_lessequals(X24,X25,X26)
      | X25 = X24 ),
    inference(variable_rename,[status(thm)],[c_0_1119]) ).

fof(c_0_1757,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Oorder(X10)
      | X9 = X8
      | c_HOL_Oord__class_Oless(X9,X8,X10)
      | ~ c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1120]) ).

fof(c_0_1758,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Oorder(X10)
      | c_HOL_Oord__class_Oless(X9,X8,X10)
      | X9 = X8
      | ~ c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1121]) ).

fof(c_0_1759,plain,
    ! [X24,X25,X26] :
      ( ~ class_Orderings_Oorder(X26)
      | c_HOL_Oord__class_Oless(X25,X24,X26)
      | X25 = X24
      | ~ c_lessequals(X25,X24,X26) ),
    inference(variable_rename,[status(thm)],[c_0_1122]) ).

fof(c_0_1760,plain,
    ! [X24,X25,X26] :
      ( ~ class_Orderings_Oorder(X26)
      | c_HOL_Oord__class_Oless(X25,X24,X26)
      | ~ c_lessequals(X25,X24,X26)
      | X25 = X24 ),
    inference(variable_rename,[status(thm)],[c_0_1123]) ).

fof(c_0_1761,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | X9 = X8
      | ~ c_lessequals(X9,X8,X10)
      | c_HOL_Oord__class_Oless(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1124]) ).

fof(c_0_1762,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | X9 = X8
      | c_HOL_Oord__class_Oless(X9,X8,X10)
      | ~ c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1125]) ).

fof(c_0_1763,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Olower__semilattice(X10)
      | c_Lattices_Olower__semilattice__class_Oinf(X9,X8,X10) != X9
      | c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1126]) ).

fof(c_0_1764,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Oupper__semilattice(X10)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10) != X8
      | c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1127]) ).

fof(c_0_1765,plain,
    ! [X22,X23] :
      ( c_HOL_Oord__class_Oless(c_Suc(X22),c_Suc(X23),tc_nat)
      | ~ c_HOL_Oord__class_Oless(X22,X23,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1128]) ).

fof(c_0_1766,plain,
    ! [X29,X30] :
      ( c_HOL_Oord__class_Oless(c_Suc(X30),c_Suc(X29),tc_nat)
      | ~ c_HOL_Oord__class_Oless(X30,X29,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1129]) ).

fof(c_0_1767,plain,
    ! [X29,X30] :
      ( c_lessequals(c_Suc(X29),c_Suc(X30),tc_nat)
      | ~ c_lessequals(X29,X30,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1130]) ).

fof(c_0_1768,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Olower__semilattice(X10)
      | c_Lattices_Olower__semilattice__class_Oinf(X9,X8,X10) = X9
      | ~ c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1131]) ).

fof(c_0_1769,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Olower__semilattice(X10)
      | c_Lattices_Olower__semilattice__class_Oinf(X9,X8,X10) = X8
      | ~ c_lessequals(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1132]) ).

fof(c_0_1770,plain,
    ! [X29,X30] :
      ( X30 = X29
      | c_HOL_Oord__class_Oless(X30,X29,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X30,c_Suc(X29),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1133]) ).

fof(c_0_1771,plain,
    ! [X29,X30] :
      ( X30 = X29
      | ~ c_HOL_Oord__class_Oless(X29,c_Suc(X30),tc_nat)
      | c_HOL_Oord__class_Oless(X29,X30,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1134]) ).

fof(c_0_1772,plain,
    ! [X29,X30] :
      ( X29 = X30
      | ~ c_HOL_Oord__class_Oless(X29,c_Suc(X30),tc_nat)
      | c_HOL_Oord__class_Oless(X29,X30,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1135]) ).

fof(c_0_1773,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Oupper__semilattice(X10)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10) = X9
      | ~ c_lessequals(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1136]) ).

fof(c_0_1774,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Oupper__semilattice(X10)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10) = X8
      | ~ c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1137]) ).

fof(c_0_1775,plain,
    ! [X29,X30] :
      ( c_HOL_Oord__class_Oless(c_Suc(X30),X29,tc_nat)
      | c_Suc(X30) = X29
      | ~ c_HOL_Oord__class_Oless(X30,X29,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1138]) ).

fof(c_0_1776,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Oorder(X10)
      | c_lessequals(X9,X8,X10)
      | ~ c_HOL_Oord__class_Oless(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1139]) ).

fof(c_0_1777,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Opreorder(X10)
      | c_lessequals(X9,X8,X10)
      | ~ c_HOL_Oord__class_Oless(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1140]) ).

fof(c_0_1778,plain,
    ! [X29,X30] :
      ( c_HOL_Oord__class_Oless(X30,X29,tc_nat)
      | ~ c_lessequals(c_Suc(X30),X29,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1141]) ).

fof(c_0_1779,plain,
    ! [X29,X30] :
      ( c_HOL_Oord__class_Oless(X29,X30,tc_nat)
      | ~ c_lessequals(c_Suc(X29),X30,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1142]) ).

fof(c_0_1780,plain,
    ! [X29,X30] :
      ( c_lessequals(X30,X29,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X30,c_Suc(X29),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1143]) ).

fof(c_0_1781,plain,
    ! [X29,X30] :
      ( c_lessequals(X30,X29,tc_nat)
      | ~ c_lessequals(c_Suc(X30),X29,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1144]) ).

fof(c_0_1782,plain,
    ! [X29,X30] :
      ( c_HOL_Oord__class_Oless(X30,X29,tc_nat)
      | ~ c_HOL_Oord__class_Oless(c_Suc(X30),X29,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1145]) ).

fof(c_0_1783,plain,
    ! [X14,X15,X16] :
      ( c_Finite__Set_Ofinite(c_Set_Oinsert(X14,X15,X16),X16)
      | ~ c_Finite__Set_Ofinite(X15,X16) ),
    inference(variable_rename,[status(thm)],[c_0_1146]) ).

fof(c_0_1784,plain,
    ! [X12,X13] :
      ( c_Finite__Set_Ofinite(X12,X13)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X12,X13),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1147]) ).

fof(c_0_1785,plain,
    ! [X29,X30] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X30)
      | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X29,X30),c_HOL_Ozero__class_Ozero(X30),X30) ),
    inference(variable_rename,[status(thm)],[c_0_1148]) ).

fof(c_0_1786,plain,
    ! [X24,X25,X26] :
      ( ~ class_Orderings_Oorder(X26)
      | c_Orderings_Obot__class_Obot(tc_fun(X26,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X25,X24,X26)
      | c_HOL_Oord__class_Oless(X25,X24,X26) ),
    inference(variable_rename,[status(thm)],[c_0_1149]) ).

fof(c_0_1787,plain,
    ! [X24,X25,X26] :
      ( ~ class_Orderings_Oorder(X26)
      | c_SetInterval_Oord__class_OatLeastLessThan(X25,X24,X26) = c_Orderings_Obot__class_Obot(tc_fun(X26,tc_bool))
      | c_HOL_Oord__class_Oless(X25,X24,X26) ),
    inference(variable_rename,[status(thm)],[c_0_1150]) ).

fof(c_0_1788,plain,
    ! [X29,X30] :
      ( c_HOL_Oord__class_Oless(X30,c_Suc(X29),tc_nat)
      | ~ c_lessequals(X30,X29,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1151]) ).

fof(c_0_1789,plain,
    ! [X29,X30] :
      ( c_lessequals(c_Suc(X30),X29,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X30,X29,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1152]) ).

fof(c_0_1790,plain,
    ! [X29,X30] :
      ( c_lessequals(c_Suc(X29),X30,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X29,X30,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1153]) ).

fof(c_0_1791,plain,
    ! [X8] :
      ( ~ c_lessequals(X8,X8,tc_nat)
      | c_HOL_Oord__class_Oless(X8,c_Suc(X8),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1154]) ).

fof(c_0_1792,plain,
    ! [X29,X30] :
      ( c_lessequals(X30,c_Suc(X29),tc_nat)
      | ~ c_lessequals(X30,X29,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1155]) ).

fof(c_0_1793,plain,
    ! [X29,X30] :
      ( c_HOL_Oord__class_Oless(X30,c_Suc(X29),tc_nat)
      | ~ c_HOL_Oord__class_Oless(X30,X29,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1156]) ).

fof(c_0_1794,plain,
    ! [X10,X11,X12] :
      ( c_Fun_Osurj(X10,X12,X11)
      | ~ c_Fun_Obij(X10,X12,X11) ),
    inference(variable_rename,[status(thm)],[c_0_1157]) ).

fof(c_0_1795,plain,
    ! [X29,X30] :
      ( c_HOL_Oord__class_Oless(X30,X29,tc_nat)
      | X30 = X29
      | ~ c_lessequals(X30,X29,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1158]) ).

fof(c_0_1796,plain,
    ! [X29,X30] :
      ( X30 = X29
      | c_HOL_Oord__class_Oless(X30,X29,tc_nat)
      | ~ c_lessequals(X30,X29,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1159]) ).

fof(c_0_1797,plain,
    ! [X29,X30] :
      ( c_HOL_Oord__class_Oless(X30,X29,tc_nat)
      | X30 = X29
      | ~ c_lessequals(X30,X29,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1160]) ).

fof(c_0_1798,plain,
    ! [X8,X9] :
      ( c_lessequals(X9,X8,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X9,X8,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1161]) ).

fof(c_0_1799,plain,
    ! [X29,X30] :
      ( c_lessequals(X30,X29,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X30,X29,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1162]) ).

fof(c_0_1800,plain,
    ! [X29,X30] :
      ( c_SetInterval_Oord__class_OatLeastLessThan(X30,c_Suc(X29),tc_nat) = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))
      | c_lessequals(X30,X29,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1163]) ).

fof(c_0_1801,plain,
    ! [X12,X13] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X12,X13),tc_nat)
      | ~ c_Finite__Set_Ofinite(X12,X13)
      | X12 = c_Orderings_Obot__class_Obot(tc_fun(X13,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_1164]) ).

fof(c_0_1802,plain,
    ! [X22,X23,X24] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X24)
      | ~ class_Ring__and__Field_Ono__zero__divisors(X24)
      | ~ class_Ring__and__Field_Omult__zero(X24)
      | ~ class_Power_Opower(X24)
      | c_Power_Opower__class_Opower(X23,X22,X24) != c_HOL_Ozero__class_Ozero(X24)
      | X23 = c_HOL_Ozero__class_Ozero(X24) ),
    inference(variable_rename,[status(thm)],[c_0_1165]) ).

fof(c_0_1803,plain,
    ! [X14,X15] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X15)
      | ~ class_Ring__and__Field_Ono__zero__divisors(X15)
      | ~ class_Ring__and__Field_Omult__zero(X15)
      | ~ class_Power_Opower(X15)
      | c_Power_Opower__class_Opower(X14,c_HOL_Ozero__class_Ozero(tc_nat),X15) != c_HOL_Ozero__class_Ozero(X15) ),
    inference(variable_rename,[status(thm)],[c_0_1166]) ).

fof(c_0_1804,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__idom(X10)
      | c_HOL_Oord__class_Oless(X8,X9,X10)
      | c_HOL_Oord__class_Oless(X9,X8,X10)
      | X9 = X8 ),
    inference(variable_rename,[status(thm)],[c_0_1167]) ).

fof(c_0_1805,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | X9 = X8
      | c_HOL_Oord__class_Oless(X8,X9,X10)
      | c_HOL_Oord__class_Oless(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1168]) ).

fof(c_0_1806,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | c_HOL_Oord__class_Oless(X8,X9,X10)
      | c_HOL_Oord__class_Oless(X9,X8,X10)
      | X9 = X8 ),
    inference(variable_rename,[status(thm)],[c_0_1169]) ).

fof(c_0_1807,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | c_HOL_Oord__class_Oless(X8,X9,X10)
      | X9 = X8
      | c_HOL_Oord__class_Oless(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1170]) ).

fof(c_0_1808,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | X9 = X8
      | c_HOL_Oord__class_Oless(X9,X8,X10)
      | c_HOL_Oord__class_Oless(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1171]) ).

fof(c_0_1809,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | c_HOL_Oord__class_Oless(X9,X8,X10)
      | c_lessequals(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1172]) ).

fof(c_0_1810,plain,
    ! [X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_HOL_Oord__class_Oless(X8,X8,X9)
      | c_lessequals(X8,X8,X9) ),
    inference(variable_rename,[status(thm)],[c_0_1173]) ).

fof(c_0_1811,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | c_lessequals(X8,X9,X10)
      | c_HOL_Oord__class_Oless(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1174]) ).

fof(c_0_1812,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | c_HOL_Oord__class_Oless(X8,X9,X10)
      | c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1175]) ).

fof(c_0_1813,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | c_lessequals(X8,X9,X10)
      | c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1176]) ).

fof(c_0_1814,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Olower__semilattice(X10)
      | c_Lattices_Olower__semilattice__class_Oinf(X9,X8,X10) = c_Lattices_Olower__semilattice__class_Oinf(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1177]) ).

fof(c_0_1815,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Olattice(X10)
      | c_Lattices_Olower__semilattice__class_Oinf(X9,X8,X10) = c_Lattices_Olower__semilattice__class_Oinf(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1178]) ).

fof(c_0_1816,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Oupper__semilattice(X10)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10) = c_Lattices_Oupper__semilattice__class_Osup(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1179]) ).

fof(c_0_1817,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Olattice(X10)
      | c_Lattices_Oupper__semilattice__class_Osup(X9,X8,X10) = c_Lattices_Oupper__semilattice__class_Osup(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1180]) ).

fof(c_0_1818,plain,
    ! [X29,X30] :
      ( c_lessequals(c_Suc(X29),X30,tc_nat)
      | c_lessequals(X30,X29,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1181]) ).

fof(c_0_1819,plain,
    ! [X8] :
      ( c_HOL_Oord__class_Oless(X8,X8,tc_nat)
      | c_HOL_Oord__class_Oless(X8,c_Suc(X8),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1182]) ).

fof(c_0_1820,plain,
    ! [X29,X30] :
      ( c_HOL_Oord__class_Oless(X29,c_Suc(X30),tc_nat)
      | c_HOL_Oord__class_Oless(X30,X29,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1183]) ).

fof(c_0_1821,plain,
    ! [X29,X30] :
      ( c_HOL_Oord__class_Oless(X29,X30,tc_nat)
      | c_HOL_Oord__class_Oless(X30,X29,tc_nat)
      | X30 = X29 ),
    inference(variable_rename,[status(thm)],[c_0_1184]) ).

fof(c_0_1822,plain,
    ! [X8,X9] :
      ( c_HOL_Oord__class_Oless(X8,X9,tc_nat)
      | c_HOL_Oord__class_Oless(X9,X8,tc_nat)
      | X9 = X8 ),
    inference(variable_rename,[status(thm)],[c_0_1185]) ).

fof(c_0_1823,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oidom(X10)
      | ~ class_Int_Onumber__ring(X10)
      | c_HOL_Ominus__class_Ominus(X9,X8,X10) != c_HOL_Ozero__class_Ozero(X10)
      | X9 = X8 ),
    inference(variable_rename,[status(thm)],[c_0_1186]) ).

fof(c_0_1824,plain,
    ! [X22] :
      ( X22 = c_HOL_Ozero__class_Ozero(tc_nat)
      | ~ c_HOL_Oord__class_Oless(X22,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1187]) ).

fof(c_0_1825,plain,
    ! [X29,X30] :
      ( c_lessequals(X29,X30,tc_nat)
      | c_lessequals(X30,X29,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1188]) ).

fof(c_0_1826,plain,
    ! [X12,X13,X14] :
      ( ~ class_Lattices_Obounded__lattice(X14)
      | c_Lattices_Oupper__semilattice__class_Osup(X13,X12,X14) != c_Orderings_Obot__class_Obot(X14)
      | X13 = c_Orderings_Obot__class_Obot(X14) ),
    inference(variable_rename,[status(thm)],[c_0_1189]) ).

fof(c_0_1827,plain,
    ! [X12,X13,X14] :
      ( ~ class_Lattices_Obounded__lattice(X14)
      | c_Lattices_Oupper__semilattice__class_Osup(X13,X12,X14) != c_Orderings_Obot__class_Obot(X14)
      | X12 = c_Orderings_Obot__class_Obot(X14) ),
    inference(variable_rename,[status(thm)],[c_0_1190]) ).

fof(c_0_1828,plain,
    ! [X22,X23,X24] :
      ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X24)
      | c_Power_Opower__class_Opower(X23,X22,X24) != c_HOL_Ozero__class_Ozero(X24)
      | X23 = c_HOL_Ozero__class_Ozero(X24) ),
    inference(variable_rename,[status(thm)],[c_0_1191]) ).

fof(c_0_1829,plain,
    ! [X12,X13,X14] :
      ( ~ class_Lattices_Obounded__lattice(X14)
      | c_Lattices_Olower__semilattice__class_Oinf(X13,X12,X14) != c_Orderings_Otop__class_Otop(X14)
      | X13 = c_Orderings_Otop__class_Otop(X14) ),
    inference(variable_rename,[status(thm)],[c_0_1192]) ).

fof(c_0_1830,plain,
    ! [X12,X13,X14] :
      ( ~ class_Lattices_Obounded__lattice(X14)
      | c_Lattices_Olower__semilattice__class_Oinf(X13,X12,X14) != c_Orderings_Otop__class_Otop(X14)
      | X12 = c_Orderings_Otop__class_Otop(X14) ),
    inference(variable_rename,[status(thm)],[c_0_1193]) ).

fof(c_0_1831,plain,
    ! [X8,X9] :
      ( ~ class_Lattices_Oboolean__algebra(X9)
      | c_Lattices_Olower__semilattice__class_Oinf(X8,hAPP(c_HOL_Ouminus__class_Ouminus(X9),X8),X9) = c_Orderings_Obot__class_Obot(X9) ),
    inference(variable_rename,[status(thm)],[c_0_1194]) ).

fof(c_0_1832,plain,
    ! [X8,X9] :
      ( ~ class_Lattices_Oboolean__algebra(X9)
      | c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X9),X8),X8,X9) = c_Orderings_Obot__class_Obot(X9) ),
    inference(variable_rename,[status(thm)],[c_0_1195]) ).

fof(c_0_1833,plain,
    ! [X8,X9] :
      ( ~ class_Lattices_Oboolean__algebra(X9)
      | c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X9),X8),X8,X9) = c_Orderings_Otop__class_Otop(X9) ),
    inference(variable_rename,[status(thm)],[c_0_1196]) ).

fof(c_0_1834,plain,
    ! [X8,X9] :
      ( ~ class_Lattices_Oboolean__algebra(X9)
      | c_Lattices_Oupper__semilattice__class_Osup(X8,hAPP(c_HOL_Ouminus__class_Ouminus(X9),X8),X9) = c_Orderings_Otop__class_Otop(X9) ),
    inference(variable_rename,[status(thm)],[c_0_1197]) ).

fof(c_0_1835,plain,
    ! [X24,X25,X26] :
      ( ~ class_OrderedGroup_Ogroup__add(X26)
      | c_HOL_Ominus__class_Ominus(X25,X24,X26) != c_HOL_Ozero__class_Ozero(X26)
      | X25 = X24 ),
    inference(variable_rename,[status(thm)],[c_0_1198]) ).

fof(c_0_1836,plain,
    ! [X24,X25,X26] :
      ( ~ class_OrderedGroup_Oab__group__add(X26)
      | c_HOL_Ominus__class_Ominus(X25,X24,X26) != c_HOL_Ozero__class_Ozero(X26)
      | X25 = X24 ),
    inference(variable_rename,[status(thm)],[c_0_1199]) ).

fof(c_0_1837,plain,
    ! [X22,X23] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X23)
      | ~ class_Ring__and__Field_Ono__zero__divisors(X23)
      | ~ class_Ring__and__Field_Omult__zero(X23)
      | ~ class_Power_Opower(X23)
      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X23),X22,X23) = c_HOL_Ozero__class_Ozero(X23)
      | X22 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1200]) ).

fof(c_0_1838,plain,
    ! [X22,X23] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X23)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X23),c_Nat_Osemiring__1__class_Oof__nat(X22,X23),X23) ),
    inference(variable_rename,[status(thm)],[c_0_1201]) ).

fof(c_0_1839,plain,
    ! [X29,X30] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X30)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X30),c_Nat_Osemiring__1__class_Oof__nat(X29,X30),X30) ),
    inference(variable_rename,[status(thm)],[c_0_1202]) ).

fof(c_0_1840,plain,
    ! [X8,X9] :
      ( ~ class_Orderings_Oorder(X9)
      | ~ c_HOL_Oord__class_Oless(X8,X8,X9) ),
    inference(variable_rename,[status(thm)],[c_0_1203]) ).

fof(c_0_1841,plain,
    ! [X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | ~ c_HOL_Oord__class_Oless(X8,X8,X9) ),
    inference(variable_rename,[status(thm)],[c_0_1204]) ).

fof(c_0_1842,plain,
    ! [X8,X9] :
      ( ~ class_Orderings_Opreorder(X9)
      | ~ c_HOL_Oord__class_Oless(X8,X8,X9) ),
    inference(variable_rename,[status(thm)],[c_0_1205]) ).

fof(c_0_1843,plain,
    ! [X22] :
      ( X22 = c_HOL_Ozero__class_Ozero(tc_nat)
      | ~ c_lessequals(X22,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1206]) ).

fof(c_0_1844,plain,
    ! [X4,X5,X6] :
      ( X5 = X4
      | ~ c_fequal(X5,X4,X6) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1207])])]) ).

fof(c_0_1845,plain,
    ! [X14,X15] :
      ( ~ class_OrderedGroup_Ogroup__add(X15)
      | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X15),X14,X15) = hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14) ),
    inference(variable_rename,[status(thm)],[c_0_1208]) ).

fof(c_0_1846,plain,
    ! [X22,X23] :
      ( ~ class_Ring__and__Field_Osemiring__0(X23)
      | ~ class_Power_Opower(X23)
      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X23),c_Suc(X22),X23) = c_HOL_Ozero__class_Ozero(X23) ),
    inference(variable_rename,[status(thm)],[c_0_1209]) ).

fof(c_0_1847,plain,
    ! [X22,X23] :
      ( ~ class_Ring__and__Field_Osemiring__0(X23)
      | ~ class_Power_Opower(X23)
      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X23),X22,X23) = c_HOL_Ozero__class_Ozero(X23)
      | X22 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1210]) ).

fof(c_0_1848,plain,
    ! [X4] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X4)
      | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4) = c_Orderings_Obot__class_Obot(X4) ),
    inference(variable_rename,[status(thm)],[c_0_1211]) ).

fof(c_0_1849,plain,
    ! [X12,X13] :
      ( c_Finite__Set_Ocard(X12,X13) != c_HOL_Ozero__class_Ozero(tc_nat)
      | ~ c_Finite__Set_Ofinite(X12,X13)
      | X12 = c_Orderings_Obot__class_Obot(tc_fun(X13,tc_bool)) ),
    inference(variable_rename,[status(thm)],[c_0_1212]) ).

fof(c_0_1850,plain,
    ! [X4] :
      ( ~ class_Complete__Lattice_Ocomplete__lattice(X4)
      | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4) = c_Orderings_Otop__class_Otop(X4) ),
    inference(variable_rename,[status(thm)],[c_0_1213]) ).

fof(c_0_1851,plain,
    ! [X10] :
      ( ~ class_Orderings_Obot(X10)
      | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X10)),v_x) = c_Orderings_Obot__class_Obot(X10) ),
    inference(variable_rename,[status(thm)],[c_0_1214]) ).

fof(c_0_1852,plain,
    ! [X10] :
      ( ~ class_Orderings_Otop(X10)
      | hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X10)),v_x) = c_Orderings_Otop__class_Otop(X10) ),
    inference(variable_rename,[status(thm)],[c_0_1215]) ).

fof(c_0_1853,plain,
    ! [X4] :
      ( ~ class_Finite__Set_Ofinite_Ofinite(X4)
      | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4) ),
    inference(variable_rename,[status(thm)],[c_0_1216]) ).

fof(c_0_1854,plain,
    ! [X8,X9] :
      ( ~ class_Ring__and__Field_Oidom(X9)
      | ~ class_Int_Onumber__ring(X9)
      | c_HOL_Ominus__class_Ominus(X8,X8,X9) = c_HOL_Ozero__class_Ozero(X9) ),
    inference(variable_rename,[status(thm)],[c_0_1217]) ).

fof(c_0_1855,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Oboolean__algebra(X10)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X10),X9) != hAPP(c_HOL_Ouminus__class_Ouminus(X10),X8)
      | X9 = X8 ),
    inference(variable_rename,[status(thm)],[c_0_1218]) ).

fof(c_0_1856,plain,
    ! [X24,X25,X26] :
      ( ~ class_OrderedGroup_Ogroup__add(X26)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X26),X25) != hAPP(c_HOL_Ouminus__class_Ouminus(X26),X24)
      | X25 = X24 ),
    inference(variable_rename,[status(thm)],[c_0_1219]) ).

fof(c_0_1857,plain,
    ! [X8,X9] :
      ( ~ class_Lattices_Obounded__lattice(X9)
      | c_Lattices_Olower__semilattice__class_Oinf(X8,c_Orderings_Obot__class_Obot(X9),X9) = c_Orderings_Obot__class_Obot(X9) ),
    inference(variable_rename,[status(thm)],[c_0_1220]) ).

fof(c_0_1858,plain,
    ! [X8,X9] :
      ( ~ class_Lattices_Obounded__lattice(X9)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X9),X8,X9) = c_Orderings_Obot__class_Obot(X9) ),
    inference(variable_rename,[status(thm)],[c_0_1221]) ).

fof(c_0_1859,plain,
    ! [X8,X9] :
      ( ~ class_Lattices_Obounded__lattice(X9)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X9),X8,X9) = c_Orderings_Otop__class_Otop(X9) ),
    inference(variable_rename,[status(thm)],[c_0_1222]) ).

fof(c_0_1860,plain,
    ! [X8,X9] :
      ( ~ class_Lattices_Obounded__lattice(X9)
      | c_Lattices_Oupper__semilattice__class_Osup(X8,c_Orderings_Otop__class_Otop(X9),X9) = c_Orderings_Otop__class_Otop(X9) ),
    inference(variable_rename,[status(thm)],[c_0_1223]) ).

fof(c_0_1861,plain,
    ! [X8,X9] :
      ( ~ class_Lattices_Obounded__lattice(X9)
      | c_Lattices_Oupper__semilattice__class_Osup(X8,c_Orderings_Obot__class_Obot(X9),X9) = X8 ),
    inference(variable_rename,[status(thm)],[c_0_1224]) ).

fof(c_0_1862,plain,
    ! [X8,X9] :
      ( ~ class_Lattices_Obounded__lattice(X9)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X9),X8,X9) = X8 ),
    inference(variable_rename,[status(thm)],[c_0_1225]) ).

fof(c_0_1863,plain,
    ! [X14,X15] :
      ( ~ class_OrderedGroup_Ogroup__add(X15)
      | c_HOL_Ominus__class_Ominus(X14,c_HOL_Ozero__class_Ozero(X15),X15) = X14 ),
    inference(variable_rename,[status(thm)],[c_0_1226]) ).

fof(c_0_1864,plain,
    ! [X8,X9] :
      ( ~ class_Lattices_Obounded__lattice(X9)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X9),X8,X9) = X8 ),
    inference(variable_rename,[status(thm)],[c_0_1227]) ).

fof(c_0_1865,plain,
    ! [X8,X9] :
      ( ~ class_Lattices_Obounded__lattice(X9)
      | c_Lattices_Olower__semilattice__class_Oinf(X8,c_Orderings_Otop__class_Otop(X9),X9) = X8 ),
    inference(variable_rename,[status(thm)],[c_0_1228]) ).

fof(c_0_1866,plain,
    ! [X8,X9] :
      ( ~ class_Orderings_Obot(X9)
      | c_lessequals(c_Orderings_Obot__class_Obot(X9),X8,X9) ),
    inference(variable_rename,[status(thm)],[c_0_1229]) ).

fof(c_0_1867,plain,
    ! [X8,X9] :
      ( ~ class_Orderings_Otop(X9)
      | c_lessequals(X8,c_Orderings_Otop__class_Otop(X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_1230]) ).

fof(c_0_1868,plain,
    ! [X14,X15] :
      ( ~ class_OrderedGroup_Ogroup__add(X15)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X15),hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14)) = X14 ),
    inference(variable_rename,[status(thm)],[c_0_1231]) ).

fof(c_0_1869,plain,
    ! [X8,X9] :
      ( ~ class_Lattices_Oboolean__algebra(X9)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X9),hAPP(c_HOL_Ouminus__class_Ouminus(X9),X8)) = X8 ),
    inference(variable_rename,[status(thm)],[c_0_1232]) ).

fof(c_0_1870,plain,
    ! [X24,X25] :
      ( ~ class_OrderedGroup_Ogroup__add(X25)
      | X24 = hAPP(c_HOL_Ouminus__class_Ouminus(X25),hAPP(c_HOL_Ouminus__class_Ouminus(X25),X24)) ),
    inference(variable_rename,[status(thm)],[c_0_1233]) ).

fof(c_0_1871,plain,
    ! [X14,X15] :
      ( ~ class_OrderedGroup_Ogroup__add(X15)
      | X14 = hAPP(c_HOL_Ouminus__class_Ouminus(X15),hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14)) ),
    inference(variable_rename,[status(thm)],[c_0_1234]) ).

fof(c_0_1872,plain,
    ! [X24,X25] :
      ( ~ class_OrderedGroup_Ogroup__add(X25)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X25),hAPP(c_HOL_Ouminus__class_Ouminus(X25),X24)) = X24 ),
    inference(variable_rename,[status(thm)],[c_0_1235]) ).

fof(c_0_1873,plain,
    ! [X14,X15] :
      ( ~ class_OrderedGroup_Ogroup__add(X15)
      | c_HOL_Ominus__class_Ominus(X14,X14,X15) = c_HOL_Ozero__class_Ozero(X15) ),
    inference(variable_rename,[status(thm)],[c_0_1236]) ).

fof(c_0_1874,plain,
    ! [X8,X9] :
      ( ~ class_OrderedGroup_Ogroup__add(X9)
      | c_HOL_Ominus__class_Ominus(X8,X8,X9) = c_HOL_Ozero__class_Ozero(X9) ),
    inference(variable_rename,[status(thm)],[c_0_1237]) ).

fof(c_0_1875,plain,
    ! [X8,X9] :
      ( ~ class_OrderedGroup_Oab__group__add(X9)
      | c_HOL_Ominus__class_Ominus(X8,X8,X9) = c_HOL_Ozero__class_Ozero(X9) ),
    inference(variable_rename,[status(thm)],[c_0_1238]) ).

fof(c_0_1876,plain,
    ! [X8,X9] :
      ( ~ class_Lattices_Oupper__semilattice(X9)
      | c_Lattices_Oupper__semilattice__class_Osup(X8,X8,X9) = X8 ),
    inference(variable_rename,[status(thm)],[c_0_1239]) ).

fof(c_0_1877,plain,
    ! [X8,X9] :
      ( ~ class_Lattices_Olower__semilattice(X9)
      | c_Lattices_Olower__semilattice__class_Oinf(X8,X8,X9) = X8 ),
    inference(variable_rename,[status(thm)],[c_0_1240]) ).

fof(c_0_1878,plain,
    ! [X8,X9] :
      ( ~ class_Orderings_Oorder(X9)
      | c_lessequals(X8,X8,X9) ),
    inference(variable_rename,[status(thm)],[c_0_1241]) ).

fof(c_0_1879,plain,
    ! [X8,X9] :
      ( ~ class_Orderings_Opreorder(X9)
      | c_lessequals(X8,X8,X9) ),
    inference(variable_rename,[status(thm)],[c_0_1242]) ).

fof(c_0_1880,plain,
    ! [X22] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X22,tc_nat)
      | X22 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_1243]) ).

fof(c_0_1881,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | c_SetInterval_Oord__class_OlessThan(X9,X10) != c_SetInterval_Oord__class_OlessThan(X8,X10)
      | X9 = X8 ),
    inference(variable_rename,[status(thm)],[c_0_1244]) ).

fof(c_0_1882,plain,
    ! [X29,X30,X31] :
      ( ~ class_Nat_Osemiring__char__0(X31)
      | c_Nat_Osemiring__1__class_Oof__nat(X30,X31) != c_Nat_Osemiring__1__class_Oof__nat(X29,X31)
      | X30 = X29 ),
    inference(variable_rename,[status(thm)],[c_0_1245]) ).

fof(c_0_1883,plain,
    ! [X14,X15] :
      ( ~ class_OrderedGroup_Ogroup__add(X15)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14) != c_HOL_Ozero__class_Ozero(X15)
      | X14 = c_HOL_Ozero__class_Ozero(X15) ),
    inference(variable_rename,[status(thm)],[c_0_1246]) ).

fof(c_0_1884,plain,
    ! [X14,X15] :
      ( ~ class_OrderedGroup_Ogroup__add(X15)
      | c_HOL_Ozero__class_Ozero(X15) != hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14)
      | c_HOL_Ozero__class_Ozero(X15) = X14 ),
    inference(variable_rename,[status(thm)],[c_0_1247]) ).

fof(c_0_1885,plain,
    ! [X14,X15] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X15)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14) != X14
      | X14 = c_HOL_Ozero__class_Ozero(X15) ),
    inference(variable_rename,[status(thm)],[c_0_1248]) ).

fof(c_0_1886,plain,
    ! [X6,X7] :
      ( class_Finite__Set_Ofinite_Ofinite(tc_fun(X6,X7))
      | ~ class_Finite__Set_Ofinite_Ofinite(X7)
      | ~ class_Finite__Set_Ofinite_Ofinite(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1249]) ).

fof(c_0_1887,plain,
    ! [X4] :
      ( ~ class_Lattices_Oboolean__algebra(X4)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X4),c_Orderings_Otop__class_Otop(X4)) = c_Orderings_Obot__class_Obot(X4) ),
    inference(variable_rename,[status(thm)],[c_0_1250]) ).

fof(c_0_1888,plain,
    ! [X4] :
      ( ~ class_Lattices_Oboolean__algebra(X4)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X4),c_Orderings_Obot__class_Obot(X4)) = c_Orderings_Otop__class_Otop(X4) ),
    inference(variable_rename,[status(thm)],[c_0_1251]) ).

fof(c_0_1889,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X4),c_HOL_Ozero__class_Ozero(X4)) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_1252]) ).

fof(c_0_1890,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X4),c_HOL_Ozero__class_Ozero(X4)) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_1253]) ).

fof(c_0_1891,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ozero__class_Ozero(X4) = hAPP(c_HOL_Ouminus__class_Ouminus(X4),c_HOL_Ozero__class_Ozero(X4)) ),
    inference(variable_rename,[status(thm)],[c_0_1254]) ).

fof(c_0_1892,plain,
    ! [X6,X7] :
      ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X6,X7))
      | ~ class_Complete__Lattice_Ocomplete__lattice(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1255]) ).

fof(c_0_1893,plain,
    ! [X6,X7] :
      ( class_Lattices_Oupper__semilattice(tc_fun(X6,X7))
      | ~ class_Lattices_Olattice(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1256]) ).

fof(c_0_1894,plain,
    ! [X6,X7] :
      ( class_Lattices_Olower__semilattice(tc_fun(X6,X7))
      | ~ class_Lattices_Olattice(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1257]) ).

fof(c_0_1895,plain,
    ! [X6,X7] :
      ( class_Lattices_Odistrib__lattice(tc_fun(X6,X7))
      | ~ class_Lattices_Odistrib__lattice(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1258]) ).

fof(c_0_1896,plain,
    ! [X6,X7] :
      ( class_Lattices_Obounded__lattice(tc_fun(X6,X7))
      | ~ class_Lattices_Obounded__lattice(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1259]) ).

fof(c_0_1897,plain,
    ! [X6,X7] :
      ( class_Lattices_Oboolean__algebra(tc_fun(X6,X7))
      | ~ class_Lattices_Oboolean__algebra(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1260]) ).

fof(c_0_1898,plain,
    ! [X6,X7] :
      ( class_Orderings_Opreorder(tc_fun(X6,X7))
      | ~ class_Orderings_Opreorder(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1261]) ).

fof(c_0_1899,plain,
    ! [X6,X7] :
      ( class_Lattices_Olattice(tc_fun(X6,X7))
      | ~ class_Lattices_Olattice(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1262]) ).

fof(c_0_1900,plain,
    ! [X6,X7] :
      ( class_Orderings_Oorder(tc_fun(X6,X7))
      | ~ class_Orderings_Oorder(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1263]) ).

fof(c_0_1901,plain,
    ! [X6,X7] :
      ( class_Orderings_Otop(tc_fun(X6,X7))
      | ~ class_Orderings_Otop(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1264]) ).

fof(c_0_1902,plain,
    ! [X6,X7] :
      ( class_Orderings_Obot(tc_fun(X6,X7))
      | ~ class_Orderings_Obot(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1265]) ).

fof(c_0_1903,plain,
    ! [X6,X7] :
      ( class_HOL_Ouminus(tc_fun(X6,X7))
      | ~ class_HOL_Ouminus(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1266]) ).

fof(c_0_1904,plain,
    ! [X6,X7] :
      ( class_HOL_Ominus(tc_fun(X6,X7))
      | ~ class_HOL_Ominus(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1267]) ).

fof(c_0_1905,plain,
    ! [X6,X7] :
      ( class_HOL_Oord(tc_fun(X6,X7))
      | ~ class_HOL_Oord(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1268]) ).

fof(c_0_1906,plain,
    ! [X12,X13] :
      ( c_Finite__Set_Ocard(X12,X13) = c_HOL_Ozero__class_Ozero(tc_nat)
      | c_Finite__Set_Ofinite(X12,X13) ),
    inference(variable_rename,[status(thm)],[c_0_1269]) ).

fof(c_0_1907,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Osemiring__1(X4)
      | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_1270]) ).

fof(c_0_1908,plain,
    ! [X12,X13] :
      ( ~ class_Finite__Set_Ofinite_Ofinite(X13)
      | c_Finite__Set_Ofinite(X12,X13) ),
    inference(variable_rename,[status(thm)],[c_0_1271]) ).

fof(c_0_1909,plain,
    ! [X8,X9] :
      ( c_Suc(X9) != c_Suc(X8)
      | X9 = X8 ),
    inference(variable_rename,[status(thm)],[c_0_1272]) ).

fof(c_0_1910,plain,
    ! [X51,X52] :
      ( c_Suc(X52) != c_Suc(X51)
      | X52 = X51 ),
    inference(variable_rename,[status(thm)],[c_0_1273]) ).

cnf(c_0_1911,plain,
    ( c_Fun_Oinj__on(X4,X2,X3,X5)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X3)
    | ~ c_Fun_Oinj__on(X4,c_Set_Oimage(X1,X2,X3,X3),X3,X5)
    | hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5))) != hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5)))
    | hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5)) != hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1274]) ).

cnf(c_0_1912,plain,
    ( c_Fun_Oinj__on(X4,c_Set_Oimage(X1,X2,X3,X3),X3,X5)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X3)
    | ~ c_Fun_Oinj__on(X4,X2,X3,X5)
    | hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5))) != hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5)))
    | hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5)) != hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1275]) ).

cnf(c_0_1913,plain,
    ( hAPP(c_Hilbert__Choice_Oinv__into(X3,c_Fun_Ocomp(X1,X2,X5,X6,X4),X4,X6),X7) = hAPP(c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),c_Hilbert__Choice_Oinv__into(c_Set_Oimage(X2,X3,X4,X5),X1,X5,X6),X5,X4,X6),X7)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6)
    | ~ c_Fun_Oinj__on(X2,X3,X4,X5)
    | ~ hBOOL(c_in(X7,c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6),X6)) ),
    inference(split_conjunct,[status(thm)],[c_0_1276]) ).

cnf(c_0_1914,plain,
    ( hAPP(c_Fun_Othe__inv__into(X3,c_Fun_Ocomp(X1,X2,X5,X6,X4),X4,X6),X7) = hAPP(c_Fun_Ocomp(c_Fun_Othe__inv__into(X3,X2,X4,X5),c_Fun_Othe__inv__into(c_Set_Oimage(X2,X3,X4,X5),X1,X5,X6),X5,X4,X6),X7)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6)
    | ~ c_Fun_Oinj__on(X2,X3,X4,X5)
    | ~ hBOOL(c_in(X7,c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6),X6)) ),
    inference(split_conjunct,[status(thm)],[c_0_1277]) ).

cnf(c_0_1915,plain,
    ( hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5))) = hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5)))
    | hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5))
    | c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X2,X3,X4,X4)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1278]) ).

cnf(c_0_1916,plain,
    ( hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5))) = hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5)))
    | hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5))
    | c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5)
    | ~ c_Fun_Oinj__on(X2,X3,X4,X4)
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1279]) ).

cnf(c_0_1917,plain,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | hAPP(X5,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(X2,X1,X5,X3,X4))) != c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(X2,X1,X5,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1280]) ).

cnf(c_0_1918,plain,
    ( hBOOL(hAPP(X4,X5))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ hBOOL(hAPP(X4,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X4,X1,X2,X3)))) ),
    inference(split_conjunct,[status(thm)],[c_0_1281]) ).

cnf(c_0_1919,plain,
    ( c_Fun_Obij__betw(c_Fun_Ocomp(X6,X1,X5,X8,X4),X2,X7,X4,X8)
    | ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5)
    | ~ c_Fun_Obij__betw(X6,X3,X7,X5,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_1282]) ).

cnf(c_0_1920,plain,
    ( hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X1,X2,X3,X4,X5),X1,X4))
    | c_Fun_Oinj__on(X3,X1,X4,X5)
    | ~ c_Fun_Oinj__on(X2,X1,X4,X4)
    | ~ c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1283]) ).

cnf(c_0_1921,plain,
    ( hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X1,X2,X3,X4,X5),X1,X4))
    | c_Fun_Oinj__on(X3,X1,X4,X5)
    | ~ c_Fun_Oinj__on(X2,X1,X4,X4)
    | ~ c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1284]) ).

cnf(c_0_1922,plain,
    ( hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X1,X2,X3,X4,X5),X1,X4))
    | c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5)
    | ~ c_Fun_Oinj__on(X2,X1,X4,X4)
    | ~ c_Fun_Oinj__on(X3,X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1285]) ).

cnf(c_0_1923,plain,
    ( hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X1,X2,X3,X4,X5),X1,X4))
    | c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5)
    | ~ c_Fun_Oinj__on(X2,X1,X4,X4)
    | ~ c_Fun_Oinj__on(X3,X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1286]) ).

cnf(c_0_1924,plain,
    ( c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X4,X1,X3,X5,X2),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X5),X5)
    | ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1287]) ).

cnf(c_0_1925,plain,
    ( ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
    | ~ hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1288]) ).

cnf(c_0_1926,plain,
    ( c_Fun_Ocomp(c_Fun_Ocomp(X4,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X2,X5,X3),X1,X3,X5,X2) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1289]) ).

cnf(c_0_1927,plain,
    ( c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),c_Fun_Ocomp(X1,X4,X2,X3,X5),X5,X3) = c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X4,X5,X2),c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X2,X5,X3)
    | ~ c_Fun_Obij(X1,X2,X3)
    | ~ c_Fun_Obij(X4,X5,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1290]) ).

cnf(c_0_1928,plain,
    ( hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(X1,X2,X3,X4,X5),X1,X4))
    | c_Fun_Oinj__on(X2,X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1291]) ).

cnf(c_0_1929,plain,
    ( X1 = X6
    | ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5))
    | ~ hBOOL(c_in(X6,c_Set_Oimage(X2,X3,X4,X5),X5))
    | hAPP(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1) != hAPP(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X6) ),
    inference(split_conjunct,[status(thm)],[c_0_1292]) ).

cnf(c_0_1930,plain,
    ( hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6) = hAPP(c_Fun_Ocomp(X7,X8,X9,X4,X10),X11)
    | hAPP(X1,hAPP(X2,X6)) != hAPP(X7,hAPP(X8,X11)) ),
    inference(split_conjunct,[status(thm)],[c_0_1293]) ).

cnf(c_0_1931,plain,
    ( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4)
    | ~ c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1294]) ).

cnf(c_0_1932,plain,
    ( hBOOL(c_in(hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),X5),X6,X3))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ hBOOL(c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4))
    | ~ c_lessequals(X2,X6,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1295]) ).

cnf(c_0_1933,plain,
    ( hAPP(X1,X2) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X1,X2),X1,X2,X3,X4))
    | hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3),X3))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1296]) ).

cnf(c_0_1934,plain,
    ( c_Fun_Oinj__on(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(X5,c_Set_Oimage(X1,X2,X3,X4),X4,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_1297]) ).

cnf(c_0_1935,plain,
    ( hBOOL(c_in(hAPP(X1,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X4),X4))
    | c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1298]) ).

cnf(c_0_1936,plain,
    ( c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(c_in(X3,X1,X2))
    | ~ hBOOL(c_in(X4,X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1299]) ).

cnf(c_0_1937,plain,
    ( c_Fun_Obij__betw(X1,X2,X5,X3,X4)
    | ~ c_Fun_Obij__betw(c_FuncSet_Orestrict(X1,X2,X3,X4),X2,X5,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1300]) ).

cnf(c_0_1938,plain,
    ( hAPP(X1,hAPP(X2,X3)) = hAPP(X4,hAPP(X5,X3))
    | c_Fun_Ocomp(X1,X2,X6,X7,X8) != c_Fun_Ocomp(X4,X5,X9,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_1301]) ).

cnf(c_0_1939,plain,
    ( hBOOL(c_in(hAPP(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1),X3,X4))
    | ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1302]) ).

cnf(c_0_1940,plain,
    ( c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
    | ~ c_Fun_Oinj__on(X1,X2,X4,X5)
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5)
    | c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1303]) ).

cnf(c_0_1941,plain,
    ( hAPP(X1,hAPP(X2,X3)) = hAPP(X4,X3)
    | c_Fun_Ocomp(X1,X2,X5,X6,X7) != c_Fun_Ocomp(c_Fun_Oid(X6),X4,X6,X6,X7) ),
    inference(split_conjunct,[status(thm)],[c_0_1304]) ).

cnf(c_0_1942,plain,
    ( c_Finite__Set_Osetsum(X5,c_Set_Oimage(X1,X2,X3,X4),X4,X6) = c_Finite__Set_Osetsum(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X6) ),
    inference(split_conjunct,[status(thm)],[c_0_1305]) ).

cnf(c_0_1943,plain,
    ( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X1,X2),X1,X2,X4,X3) != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1306]) ).

cnf(c_0_1944,plain,
    ( c_Fun_Obij__betw(c_FuncSet_Orestrict(X1,X2,X4,X5),X2,X3,X4,X5)
    | ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1307]) ).

cnf(c_0_1945,plain,
    ( c_Fun_Obij__betw(c_Fun_Othe__inv__into(X2,X1,X4,X5),X3,X2,X5,X4)
    | ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1308]) ).

cnf(c_0_1946,plain,
    ( c_Fun_Obij__betw(c_Hilbert__Choice_Oinv__into(X2,X1,X4,X5),X3,X2,X5,X4)
    | ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1309]) ).

cnf(c_0_1947,plain,
    ( c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,X3),X4,X3,X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Finite__Set_Osetsum(X2,X4,X3,X1))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1310]) ).

cnf(c_0_1948,plain,
    ( hAPP(X1,hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),X5)) = X5
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ hBOOL(c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1311]) ).

cnf(c_0_1949,plain,
    ( c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X1,X3,X2,X2) != c_Fun_Oid(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1312]) ).

cnf(c_0_1950,plain,
    ( hAPP(X2,X1) = X3
    | ~ hBOOL(c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1313]) ).

cnf(c_0_1951,plain,
    ( X4 = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X4,X1,X3,X2))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ hBOOL(c_in(X4,c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1314]) ).

cnf(c_0_1952,plain,
    ( c_Fun_Osurj(X1,X2,X3)
    | c_Fun_Ocomp(X1,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X2,X3,X3) != c_Fun_Oid(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1315]) ).

cnf(c_0_1953,plain,
    ( X1 = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(hAPP(X2,X1),X2,X3,X4)
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3)
    | ~ hBOOL(c_in(hAPP(X2,X1),c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1316]) ).

cnf(c_0_1954,plain,
    ( hBOOL(c_in(c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X4,X1,X2,X3),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),X3))
    | hBOOL(hAPP(X4,X5))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1317]) ).

cnf(c_0_1955,plain,
    ( c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3) = X4
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3)
    | hAPP(X2,hAPP(X4,c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__imp__inv__eq__1__1(X2,X4,X1,X3))) != c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__imp__inv__eq__1__1(X2,X4,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1318]) ).

cnf(c_0_1956,plain,
    ( hAPP(X2,hAPP(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1)) = X1
    | ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1319]) ).

cnf(c_0_1957,plain,
    ( c_Finite__Set_Ocard(X2,X3) = c_Finite__Set_Ocard(X5,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ c_Fun_Oinj__on(X6,X5,X4,X3)
    | ~ c_lessequals(c_Set_Oimage(X6,X5,X4,X3),X2,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ c_Finite__Set_Ofinite(X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1320]) ).

cnf(c_0_1958,plain,
    ( c_Fun_Obij(c_Fun_Ocomp(X4,X1,X3,X5,X2),X2,X5)
    | ~ c_Fun_Obij(X1,X2,X3)
    | ~ c_Fun_Obij(X4,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1321]) ).

cnf(c_0_1959,plain,
    ( c_Fun_Osurj(c_Fun_Ocomp(X4,X1,X3,X5,X2),X2,X5)
    | ~ c_Fun_Osurj(X1,X2,X3)
    | ~ c_Fun_Osurj(X4,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1322]) ).

cnf(c_0_1960,plain,
    ( c_lessequals(c_Set_Oimage(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X4),X2,X3),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),c_Set_Oimage(X1,X4,X2,X3)),tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1323]) ).

cnf(c_0_1961,plain,
    ( hBOOL(c_in(X4,X5,X2))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ hBOOL(c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1324]) ).

cnf(c_0_1962,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1325]) ).

cnf(c_0_1963,plain,
    ( X1 = X2
    | ~ c_Typedef_Otype__definition(X3,X4,X5,X6,X7)
    | ~ hBOOL(c_in(X1,X5,X7))
    | ~ hBOOL(c_in(X2,X5,X7))
    | hAPP(X4,X1) != hAPP(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1326]) ).

cnf(c_0_1964,plain,
    ( c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X1,X3,X2,X2) = c_Fun_Oid(X2)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1327]) ).

cnf(c_0_1965,plain,
    ( c_lessequals(X4,X5,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1328]) ).

cnf(c_0_1966,plain,
    ( c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) = X3
    | ~ c_Typedef_Otype__definition(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1329]) ).

cnf(c_0_1967,plain,
    ( c_Set_Oimage(X2,X3,X5,X4) = c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool))
    | ~ c_Typedef_Otype__definition(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1330]) ).

cnf(c_0_1968,plain,
    ( c_Set_Oimage(X1,X2,X4,X5) = X3
    | ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1331]) ).

cnf(c_0_1969,plain,
    ( c_Fun_Oinj__on(X1,X2,X4,X5)
    | ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1332]) ).

cnf(c_0_1970,plain,
    ( hAPP(X1,hAPP(X2,X6)) = X6
    | ~ c_Typedef_Otype__definition(X1,X2,X3,X4,X5)
    | ~ hBOOL(c_in(X6,X3,X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1333]) ).

cnf(c_0_1971,plain,
    ( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X5,X6,tc_fun(X3,tc_bool)),X3,X4) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1334]) ).

cnf(c_0_1972,plain,
    ( c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X5,X6,tc_fun(X3,tc_bool)),X3,X4) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1335]) ).

cnf(c_0_1973,plain,
    ( c_Fun_Obij__betw(X1,X2,c_Set_Oimage(X1,X2,X3,X4),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1336]) ).

cnf(c_0_1974,plain,
    ( hBOOL(c_in(hAPP(X1,X6),X3,X5))
    | ~ c_Typedef_Otype__definition(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1337]) ).

cnf(c_0_1975,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),c_Set_Oimage(X1,X4,X2,X3)),c_Set_Oimage(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X4),X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1338]) ).

cnf(c_0_1976,plain,
    ( c_Set_Oimage(X1,c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X4,X3,X2),X2,X3) = X4
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1339]) ).

cnf(c_0_1977,plain,
    ( c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X4,c_SetInterval_Oord__class_OatLeastLessThan(X1,X3,tc_nat),tc_nat,X5),c_Finite__Set_Osetsum(X4,c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,tc_nat),tc_nat,X5),X5) = c_Finite__Set_Osetsum(X4,c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,tc_nat),tc_nat,X5)
    | ~ c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(X2,X3,tc_nat)
    | ~ class_OrderedGroup_Oab__group__add(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1340]) ).

cnf(c_0_1978,plain,
    ( c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1341]) ).

cnf(c_0_1979,plain,
    ( X1 = X2
    | ~ c_Typedef_Otype__definition(X3,X4,X5,X6,X7)
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1342]) ).

cnf(c_0_1980,plain,
    ( c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X5,tc_fun(X2,tc_bool)),X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1343]) ).

cnf(c_0_1981,plain,
    ( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X2,tc_bool)),X2,X3) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1344]) ).

cnf(c_0_1982,plain,
    ( hAPP(X2,hAPP(X1,X6)) = X6
    | ~ c_Typedef_Otype__definition(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1345]) ).

cnf(c_0_1983,plain,
    ( c_Finite__Set_Ocard(X2,X4) = c_Finite__Set_Ocard(X3,X5)
    | ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1346]) ).

cnf(c_0_1984,plain,
    ( c_Fun_Ocomp(X1,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X2,X3,X3) = c_Fun_Oid(X3)
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1347]) ).

cnf(c_0_1985,plain,
    ( hBOOL(c_in(hAPP(X2,X1),X3,X5))
    | ~ hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1348]) ).

cnf(c_0_1986,plain,
    ( hBOOL(c_in(hAPP(X2,X1),X3,X5))
    | ~ hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1349]) ).

cnf(c_0_1987,plain,
    ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),c_Set_Oimage(X1,X4,X2,X3),X3,X2) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1350]) ).

cnf(c_0_1988,plain,
    ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),c_Set_Oimage(X1,X4,X2,X3),X3,X2) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1351]) ).

cnf(c_0_1989,plain,
    ( hBOOL(c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ hBOOL(c_in(X4,X5,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1352]) ).

cnf(c_0_1990,plain,
    ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),c_Set_Oimage(X1,X5,X3,X4),X4,X3) = X5
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1353]) ).

cnf(c_0_1991,plain,
    ( hBOOL(hAPP(X2,hAPP(X1,X5)))
    | ~ hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_1354]) ).

cnf(c_0_1992,plain,
    ( c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(X4,X5,tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1355]) ).

cnf(c_0_1993,plain,
    ( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1,X5,X4)
    | ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1356]) ).

cnf(c_0_1994,plain,
    ( c_Set_Oimage(c_Fun_Othe__inv__into(X2,X1,X3,X4),c_Set_Oimage(X1,X2,X3,X4),X4,X3) = X2
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1357]) ).

cnf(c_0_1995,plain,
    ( c_Fun_Oinj__on(c_Fun_Othe__inv__into(X2,X1,X3,X4),c_Set_Oimage(X1,X2,X3,X4),X4,X3)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1358]) ).

cnf(c_0_1996,plain,
    ( c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2,X5) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X4,X1,X2,X5),hAPP(X4,X3),X5)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(c_in(X3,X1,X2))
    | ~ class_OrderedGroup_Oab__group__add(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1359]) ).

cnf(c_0_1997,plain,
    ( c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2,X5) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X4,X1,X2,X5),hAPP(X4,X3),X5)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(c_in(X3,X1,X2))
    | ~ class_Ring__and__Field_Oring(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1360]) ).

cnf(c_0_1998,plain,
    ( c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2,X5) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X4,X1,X2,X5),c_Finite__Set_Osetsum(X4,X3,X2,X5),X5)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
    | ~ class_OrderedGroup_Oab__group__add(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1361]) ).

cnf(c_0_1999,plain,
    ( c_Set_Oimage(X3,X1,X2,X2) = X1
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(c_Set_Oimage(X3,X1,X2,X2),X1,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X3,X1,X2,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1362]) ).

cnf(c_0_2000,plain,
    ( c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Obij(X1,X2,X3)
    | ~ c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1363]) ).

cnf(c_0_2001,plain,
    ( c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool))
    | ~ c_Fun_Obij(X1,X2,X3)
    | ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1364]) ).

cnf(c_0_2002,plain,
    ( c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Osurj(X1,X2,X3)
    | ~ c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1365]) ).

cnf(c_0_2003,plain,
    ( c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(c_in(X3,X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1366]) ).

cnf(c_0_2004,plain,
    ( c_lessequals(c_Finite__Set_Ocard(X2,X3),c_Finite__Set_Ocard(X5,X4),tc_nat)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ c_Finite__Set_Ofinite(X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1367]) ).

cnf(c_0_2005,plain,
    ( c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(X1,X2),X1,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat),X2,tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1368]) ).

cnf(c_0_2006,plain,
    ( c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__nat__finite__1__1(X1,X2),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat),X1,tc_nat,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1369]) ).

cnf(c_0_2007,plain,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(c_FuncSet_Orestrict(X1,X2,X3,X4),X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1370]) ).

cnf(c_0_2008,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X4,X5)
    | c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1371]) ).

cnf(c_0_2009,plain,
    ( c_List_Omap(X1,c_List_OremoveAll(X4,X5,X2),X2,X3) = c_List_OremoveAll(hAPP(X1,X4),c_List_Omap(X1,X5,X2,X3),X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1372]) ).

cnf(c_0_2010,plain,
    ( c_Finite__Set_Osetsum(X1,X2,X3,X4) = c_Finite__Set_Osetsum(c_Fun_Oid(X4),c_Set_Oimage(X1,X2,X3,X4),X4,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1373]) ).

cnf(c_0_2011,plain,
    ( c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2)) = c_Finite__Set_Ocard(X1,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(c_in(X3,X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1374]) ).

cnf(c_0_2012,plain,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X2,X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1375]) ).

cnf(c_0_2013,plain,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X2,X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1376]) ).

cnf(c_0_2014,plain,
    ( hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5))
    | ~ hBOOL(c_in(hAPP(X1,X2),X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1377]) ).

cnf(c_0_2015,plain,
    ( hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5))
    | ~ hBOOL(c_in(hAPP(X1,X2),X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1378]) ).

cnf(c_0_2016,plain,
    ( hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5))
    | ~ hBOOL(c_in(hAPP(X1,X2),X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1379]) ).

cnf(c_0_2017,plain,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1380]) ).

cnf(c_0_2018,plain,
    ( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))
    | ~ hBOOL(c_in(X2,X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1381]) ).

cnf(c_0_2019,plain,
    ( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))
    | ~ hBOOL(c_in(X2,X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1382]) ).

cnf(c_0_2020,plain,
    ( hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1383]) ).

cnf(c_0_2021,plain,
    ( hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1384]) ).

cnf(c_0_2022,plain,
    ( c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2))
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1385]) ).

cnf(c_0_2023,plain,
    ( hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X4)) = X4
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1386]) ).

cnf(c_0_2024,plain,
    ( c_lessequals(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1387]) ).

cnf(c_0_2025,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | c_List_Omap(X3,X1,X4,X5) != c_List_Omap(X3,X2,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1388]) ).

cnf(c_0_2026,plain,
    ( X4 = X5
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_List_Omap(X1,X4,X2,X3) != c_List_Omap(X1,X5,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1389]) ).

cnf(c_0_2027,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1390]) ).

cnf(c_0_2028,plain,
    ( hBOOL(c_in(hAPP(X1,X6),X5,X4))
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ hBOOL(c_in(X6,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1391]) ).

cnf(c_0_2029,plain,
    ( c_Set_Ovimage(X1,c_Set_Oimage(X1,X4,X2,X3),X2,X3) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1392]) ).

cnf(c_0_2030,plain,
    ( hBOOL(c_in(X3,X1,X2))
    | c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2,X5) = c_Finite__Set_Osetsum(X4,X1,X2,X5)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ class_OrderedGroup_Oab__group__add(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1393]) ).

cnf(c_0_2031,plain,
    ( c_Finite__Set_Ofinite(X2,X3)
    | ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1394]) ).

cnf(c_0_2032,plain,
    ( c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1395]) ).

cnf(c_0_2033,plain,
    ( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1396]) ).

cnf(c_0_2034,plain,
    ( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1397]) ).

cnf(c_0_2035,plain,
    ( v_thesis____
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)
    | c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) != c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1398]) ).

cnf(c_0_2036,plain,
    ( c_Set_Ovimage(X1,X4,X2,X3) = c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X4,X3,X2)
    | ~ c_Fun_Obij(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1399]) ).

cnf(c_0_2037,plain,
    ( c_Fun_Oinj__on(X3,X1,X2,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X1,c_Set_Oimage(X3,X1,X2,X2),tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1400]) ).

cnf(c_0_2038,plain,
    ( hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3))
    | ~ hBOOL(hAPP(X1,hAPP(X2,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_1401]) ).

cnf(c_0_2039,plain,
    ( c_Fun_Oinj__on(c_FuncSet_Orestrict(X1,X2,X3,X4),X2,X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1402]) ).

cnf(c_0_2040,plain,
    ( c_Fun_Osurj(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X3,X2)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1403]) ).

cnf(c_0_2041,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ hBOOL(c_in(X2,X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1404]) ).

cnf(c_0_2042,plain,
    ( c_lessequals(c_Finite__Set_Ocard(c_Set_Oimage(X3,X1,X2,X4),X4),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1405]) ).

cnf(c_0_2043,plain,
    ( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),hAPP(X2,X4)) = X4
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1406]) ).

cnf(c_0_2044,plain,
    ( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),hAPP(X1,X4)) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1407]) ).

cnf(c_0_2045,plain,
    ( hAPP(c_Fun_Othe__inv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),hAPP(X1,X4)) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1408]) ).

cnf(c_0_2046,plain,
    ( hAPP(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),hAPP(X1,X5)) = X5
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ hBOOL(c_in(X5,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1409]) ).

cnf(c_0_2047,plain,
    ( hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),hAPP(X2,X5)) = X5
    | ~ c_Fun_Oinj__on(X2,X1,X3,X4)
    | ~ hBOOL(c_in(X5,X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1410]) ).

cnf(c_0_2048,plain,
    ( hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),hAPP(X1,X5)) = X5
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ hBOOL(c_in(X5,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1411]) ).

cnf(c_0_2049,plain,
    ( hAPP(c_Fun_Othe__inv__into(X2,X4,X3,X5),hAPP(X4,X1)) = X1
    | ~ hBOOL(c_in(X1,X2,X3))
    | ~ c_Fun_Oinj__on(X4,X2,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1412]) ).

cnf(c_0_2050,plain,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) != c_Finite__Set_Ocard(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1413]) ).

cnf(c_0_2051,plain,
    ( c_Set_Oimage(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X4),X2,X3) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),c_Set_Oimage(X1,X4,X2,X3))
    | ~ c_Fun_Obij(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1414]) ).

cnf(c_0_2052,plain,
    ( c_Finite__Set_Ofinite(c_Set_Ovimage(X3,X1,X4,X2),X4)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1415]) ).

cnf(c_0_2053,plain,
    ( c_Set_Oinsert(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) = c_Set_Oimage(X4,X2,X3,X5)
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1416]) ).

cnf(c_0_2054,plain,
    ( c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X3,X2) = X1
    | ~ c_Fun_Obij(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1417]) ).

cnf(c_0_2055,plain,
    ( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X2)
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1418]) ).

cnf(c_0_2056,plain,
    ( c_Finite__Set_Ofinite(X3,X5)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X3,c_Set_Oimage(X4,X1,X2,X5),tc_fun(X5,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1419]) ).

cnf(c_0_2057,plain,
    ( c_Finite__Set_Ocard(c_Set_Oimage(X3,X1,X2,X4),X4) = c_Finite__Set_Ocard(X1,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Fun_Oinj__on(X3,X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1420]) ).

cnf(c_0_2058,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1421]) ).

cnf(c_0_2059,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4),X4)
    | ~ class_Lattices_Olattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1422]) ).

cnf(c_0_2060,plain,
    ( c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) = c_Finite__Set_Ocard(X2,X3)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1423]) ).

cnf(c_0_2061,plain,
    ( c_Finite__Set_Ofinite(X2,X4)
    | ~ c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X2,X3,X4),X3)
    | ~ c_Fun_Osurj(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1424]) ).

cnf(c_0_2062,plain,
    ( c_Finite__Set_Ofinite(X4,X3)
    | ~ c_Fun_Obij(X1,X2,X3)
    | ~ c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X4,X2,X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1425]) ).

cnf(c_0_2063,plain,
    ( hBOOL(c_in(X1,X2,X4))
    | hBOOL(c_in(X1,X3,X4))
    | ~ hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1426]) ).

cnf(c_0_2064,plain,
    ( c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1427]) ).

cnf(c_0_2065,plain,
    ( c_Fun_Oinj__on(X1,X2,X4,X5)
    | ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1428]) ).

cnf(c_0_2066,plain,
    ( X1 = X2
    | ~ hBOOL(c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1429]) ).

cnf(c_0_2067,plain,
    ( X1 = X2
    | X1 = X3
    | c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1430]) ).

cnf(c_0_2068,plain,
    ( X1 = X2
    | X3 = X2
    | c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1431]) ).

cnf(c_0_2069,plain,
    ( X1 = X2
    | X3 = X2
    | c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1432]) ).

cnf(c_0_2070,plain,
    ( X1 = X2
    | X1 = X3
    | c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1433]) ).

cnf(c_0_2071,plain,
    ( ~ hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4))
    | ~ hBOOL(c_in(X1,X3,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1434]) ).

cnf(c_0_2072,plain,
    ( c_Set_Oimage(X1,c_Set_Ovimage(X1,X4,X2,X3),X2,X3) = X4
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1435]) ).

cnf(c_0_2073,plain,
    ( c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1436]) ).

cnf(c_0_2074,plain,
    ( c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X2
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1437]) ).

cnf(c_0_2075,plain,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1438]) ).

cnf(c_0_2076,plain,
    ( c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1439]) ).

cnf(c_0_2077,plain,
    ( X5 = X6
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ hBOOL(c_in(X5,X2,X3))
    | ~ hBOOL(c_in(X6,X2,X3))
    | hAPP(X1,X5) != hAPP(X1,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_1440]) ).

cnf(c_0_2078,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | ~ hBOOL(c_in(X1,X4,X5))
    | ~ hBOOL(c_in(X2,X4,X5))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1441]) ).

cnf(c_0_2079,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | ~ hBOOL(c_in(X1,X4,X5))
    | ~ hBOOL(c_in(X2,X4,X5))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1442]) ).

cnf(c_0_2080,plain,
    ( X1 = X4
    | ~ hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(c_in(X4,X2,X3))
    | ~ c_Fun_Oinj__on(X5,X2,X3,X6)
    | hAPP(X5,X1) != hAPP(X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1443]) ).

cnf(c_0_2081,plain,
    ( c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_nat),tc_nat,X3) = c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat,X3)
    | hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1444]) ).

cnf(c_0_2082,plain,
    ( hBOOL(c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3))
    | ~ hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(c_in(X1,X4,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1445]) ).

cnf(c_0_2083,plain,
    ( hBOOL(c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3))
    | ~ hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(c_in(X1,X4,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1446]) ).

cnf(c_0_2084,plain,
    ( hBOOL(c_in(X1,X2,X4))
    | ~ hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1447]) ).

cnf(c_0_2085,plain,
    ( hBOOL(c_in(X1,X3,X4))
    | ~ hBOOL(c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1448]) ).

cnf(c_0_2086,plain,
    ( hBOOL(c_in(X1,X2,X4))
    | ~ hBOOL(c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1449]) ).

cnf(c_0_2087,plain,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),X4)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1450]) ).

cnf(c_0_2088,plain,
    ( c_Fun_Oinj__on(X1,X5,X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1451]) ).

cnf(c_0_2089,plain,
    ( ~ hBOOL(c_in(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3),X2))
    | ~ hBOOL(c_in(X1,X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1452]) ).

cnf(c_0_2090,plain,
    ( c_Fun_Obij(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X3,X2)
    | ~ c_Fun_Obij(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1453]) ).

cnf(c_0_2091,plain,
    ( hBOOL(c_in(X3,X1,X2))
    | c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2) = c_Finite__Set_Ocard(X1,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1454]) ).

cnf(c_0_2092,plain,
    ( hBOOL(c_in(X1,X4,X3))
    | hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1455]) ).

cnf(c_0_2093,plain,
    ( hBOOL(c_in(X1,X4,X3))
    | hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1456]) ).

cnf(c_0_2094,plain,
    ( hAPP(c_FuncSet_Orestrict(X4,X2,X3,X5),X1) = hAPP(X4,X1)
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1457]) ).

cnf(c_0_2095,plain,
    ( hBOOL(hAPP(X1,X3))
    | ~ hBOOL(hAPP(X1,c_List_Osko__List__Xall__nat__less__eq__1__1(X1,X2)))
    | ~ hBOOL(c_in(X3,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat)) ),
    inference(split_conjunct,[status(thm)],[c_0_1458]) ).

cnf(c_0_2096,plain,
    ( hBOOL(hAPP(X3,c_List_Osko__List__Xex__nat__less__eq__1__2(X3,X2)))
    | ~ hBOOL(c_in(X1,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat))
    | ~ hBOOL(hAPP(X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1459]) ).

cnf(c_0_2097,plain,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)),X3)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1460]) ).

cnf(c_0_2098,plain,
    ( c_HOL_Oord__class_Oless(c_List_Osko__List__Xex__nat__less__eq__1__2(X3,X2),X2,tc_nat)
    | ~ hBOOL(c_in(X1,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat))
    | ~ hBOOL(hAPP(X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1461]) ).

cnf(c_0_2099,plain,
    ( c_Fun_Osurj(X2,X1,X1)
    | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1462]) ).

cnf(c_0_2100,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X5,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1463]) ).

cnf(c_0_2101,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1464]) ).

cnf(c_0_2102,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1465]) ).

cnf(c_0_2103,plain,
    ( c_HOL_Oord__class_Oless(c_List_Osko__List__Xall__nat__less__eq__1__1(X1,X2),X2,tc_nat)
    | hBOOL(hAPP(X1,X3))
    | ~ hBOOL(c_in(X3,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat)) ),
    inference(split_conjunct,[status(thm)],[c_0_1466]) ).

cnf(c_0_2104,plain,
    ( X1 = X2
    | hBOOL(c_in(X1,X3,X4))
    | ~ hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1467]) ).

cnf(c_0_2105,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Power_Opower__class_Opower(X1,c_Suc(X2),X3),c_Power_Opower__class_Opower(X4,c_Suc(X2),X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1468]) ).

cnf(c_0_2106,plain,
    ( c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X4,X2,X3),X2)
    | ~ c_Fun_Obij(X1,X2,X3)
    | ~ c_Finite__Set_Ofinite(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1469]) ).

cnf(c_0_2107,plain,
    ( c_Fun_Obij(X1,X2,X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1470]) ).

cnf(c_0_2108,plain,
    ( c_Fun_Obij(X1,X2,X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1471]) ).

cnf(c_0_2109,plain,
    ( c_lessequals(X3,X2,tc_fun(X1,tc_bool))
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3),tc_fun(X1,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1472]) ).

cnf(c_0_2110,plain,
    ( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1473]) ).

cnf(c_0_2111,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1474]) ).

cnf(c_0_2112,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1475]) ).

cnf(c_0_2113,plain,
    ( hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1476]) ).

cnf(c_0_2114,plain,
    ( hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1477]) ).

cnf(c_0_2115,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1478]) ).

cnf(c_0_2116,plain,
    ( hBOOL(hAPP(X1,X4))
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1479]) ).

cnf(c_0_2117,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1480]) ).

cnf(c_0_2118,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1481]) ).

cnf(c_0_2119,plain,
    ( c_lessequals(X2,X1,X3)
    | c_lessequals(X4,X1,X3)
    | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X3),tc_fun(X3,tc_bool))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1482]) ).

cnf(c_0_2120,plain,
    ( c_lessequals(X2,X1,X3)
    | c_lessequals(X2,X5,X3)
    | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X3),tc_fun(X3,tc_bool))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1483]) ).

cnf(c_0_2121,plain,
    ( c_Finite__Set_Ocard(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2))
    | hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1484]) ).

cnf(c_0_2122,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),X3)
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1485]) ).

cnf(c_0_2123,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3)
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1486]) ).

cnf(c_0_2124,plain,
    ( hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1487]) ).

cnf(c_0_2125,plain,
    ( hBOOL(hAPP(X1,X4))
    | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1488]) ).

cnf(c_0_2126,plain,
    ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X4,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1489]) ).

cnf(c_0_2127,plain,
    ( hAPP(X1,c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__1(X1,X2,X3)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__2(X1,X2,X3))
    | c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1490]) ).

cnf(c_0_2128,plain,
    ( hAPP(X1,c_ATP__Linkup_Osko__Fun__XinjI__1__1(X1,X2,X3)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__XinjI__1__2(X1,X2,X3))
    | c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1491]) ).

cnf(c_0_2129,plain,
    ( c_Finite__Set_Ofinite(c_Set_Oimage(X3,X1,X2,X4),X4)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1492]) ).

cnf(c_0_2130,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1493]) ).

cnf(c_0_2131,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1494]) ).

cnf(c_0_2132,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X4,X1,X3))
    | ~ hBOOL(c_in(X4,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1495]) ).

cnf(c_0_2133,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1496]) ).

cnf(c_0_2134,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool)),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1497]) ).

cnf(c_0_2135,plain,
    ( hBOOL(c_in(X1,c_Set_Oinsert(X4,X2,X3),X3))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1498]) ).

cnf(c_0_2136,plain,
    ( hBOOL(c_in(X1,c_Set_Oinsert(X4,X2,X3),X3))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1499]) ).

cnf(c_0_2137,plain,
    ( c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X1)
    | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
    | ~ c_Fun_Osurj(X2,X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1500]) ).

cnf(c_0_2138,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | hBOOL(c_in(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1501]) ).

cnf(c_0_2139,plain,
    ( c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X1,X2,X3))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1502]) ).

cnf(c_0_2140,plain,
    ( hBOOL(c_in(X2,X1,X4))
    | c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1503]) ).

cnf(c_0_2141,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1504]) ).

cnf(c_0_2142,plain,
    ( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1505]) ).

cnf(c_0_2143,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1506]) ).

cnf(c_0_2144,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1507]) ).

cnf(c_0_2145,plain,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1508]) ).

cnf(c_0_2146,plain,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1509]) ).

cnf(c_0_2147,plain,
    ( c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_ATP__Linkup_Osko__Fun__XinjI__1__1(X1,X2,X3) != c_ATP__Linkup_Osko__Fun__XinjI__1__2(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1510]) ).

cnf(c_0_2148,plain,
    ( c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__1(X1,X2,X3) != c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__2(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1511]) ).

cnf(c_0_2149,plain,
    ( X2 = X3
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X4,tc_nat)
    | c_Power_Opower__class_Opower(X2,X4,X1) != c_Power_Opower__class_Opower(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1512]) ).

cnf(c_0_2150,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Set_Oimage(X3,X1,X2,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1513]) ).

cnf(c_0_2151,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_Set_Oimage(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1514]) ).

cnf(c_0_2152,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X1),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1515]) ).

cnf(c_0_2153,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X1),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1516]) ).

cnf(c_0_2154,plain,
    ( c_lessequals(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1517]) ).

cnf(c_0_2155,plain,
    ( c_Finite__Set_Osetsum(X3,c_SetInterval_Oord__class_OatLeastLessThan(X2,c_Suc(X1),tc_nat),tc_nat,X4) = c_HOL_Ozero__class_Ozero(X4)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1518]) ).

cnf(c_0_2156,plain,
    ( c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1519]) ).

cnf(c_0_2157,plain,
    ( c_lessequals(X1,X2,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1520]) ).

cnf(c_0_2158,plain,
    ( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1521]) ).

cnf(c_0_2159,plain,
    ( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1522]) ).

cnf(c_0_2160,plain,
    ( c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(X1,X4,X3),c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1523]) ).

cnf(c_0_2161,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ class_Lattices_Odistrib__lattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1524]) ).

cnf(c_0_2162,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X4),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
    | ~ class_Lattices_Odistrib__lattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1525]) ).

cnf(c_0_2163,plain,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1526]) ).

cnf(c_0_2164,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Odistrib__lattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1527]) ).

cnf(c_0_2165,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
    | ~ class_Lattices_Odistrib__lattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1528]) ).

cnf(c_0_2166,plain,
    ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1529]) ).

cnf(c_0_2167,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3),tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1530]) ).

cnf(c_0_2168,plain,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_SetInterval_Oord__class_OlessThan(X1,X2),tc_fun(X2,tc_bool)) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1531]) ).

cnf(c_0_2169,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1532]) ).

cnf(c_0_2170,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1533]) ).

cnf(c_0_2171,plain,
    ( X1 = X4
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1534]) ).

cnf(c_0_2172,plain,
    ( c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1535]) ).

cnf(c_0_2173,plain,
    ( c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1536]) ).

cnf(c_0_2174,plain,
    ( hBOOL(c_in(X4,X2,X3))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X4,X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1537]) ).

cnf(c_0_2175,plain,
    ( hBOOL(c_in(X4,X2,X3))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X4,X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1538]) ).

cnf(c_0_2176,plain,
    ( hBOOL(c_in(X1,X4,X3))
    | ~ hBOOL(c_in(X1,X2,X3))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1539]) ).

cnf(c_0_2177,plain,
    ( hBOOL(c_in(X4,X2,X3))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X4,X1,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1540]) ).

cnf(c_0_2178,plain,
    ( hBOOL(c_in(X1,X4,X3))
    | ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1541]) ).

cnf(c_0_2179,plain,
    ( X1 = X2
    | hBOOL(c_in(X3,X1,X4))
    | hBOOL(c_in(X3,X2,X4))
    | c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1542]) ).

cnf(c_0_2180,plain,
    ( X2 = X3
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_Power_Opower__class_Opower(X2,c_Suc(X4),X1) != c_Power_Opower__class_Opower(X3,c_Suc(X4),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1543]) ).

cnf(c_0_2181,plain,
    ( c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_Fun_Obij(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1544]) ).

cnf(c_0_2182,plain,
    ( ~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2))
    | ~ hBOOL(hAPP(X3,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1545]) ).

cnf(c_0_2183,plain,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1546]) ).

cnf(c_0_2184,plain,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1547]) ).

cnf(c_0_2185,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | c_Lattices_Olower__semilattice__class_Oinf(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1548]) ).

cnf(c_0_2186,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1549]) ).

cnf(c_0_2187,plain,
    ( c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3),tc_fun(X2,tc_bool))
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1550]) ).

cnf(c_0_2188,plain,
    ( hBOOL(hAPP(X3,X1))
    | ~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1551]) ).

cnf(c_0_2189,plain,
    ( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1552]) ).

cnf(c_0_2190,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1553]) ).

cnf(c_0_2191,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1554]) ).

cnf(c_0_2192,plain,
    ( c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1555]) ).

cnf(c_0_2193,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1556]) ).

cnf(c_0_2194,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1557]) ).

cnf(c_0_2195,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1558]) ).

cnf(c_0_2196,plain,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1559]) ).

cnf(c_0_2197,plain,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1560]) ).

cnf(c_0_2198,plain,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1561]) ).

cnf(c_0_2199,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1562]) ).

cnf(c_0_2200,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1563]) ).

cnf(c_0_2201,plain,
    ( X1 = X2
    | c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1564]) ).

cnf(c_0_2202,plain,
    ( c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2) = c_Finite__Set_Ocard(X1,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(c_in(X3,X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1565]) ).

cnf(c_0_2203,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1566]) ).

cnf(c_0_2204,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
    | ~ class_Lattices_Oupper__semilattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1567]) ).

cnf(c_0_2205,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
    | ~ class_Lattices_Olattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1568]) ).

cnf(c_0_2206,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1569]) ).

cnf(c_0_2207,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1570]) ).

cnf(c_0_2208,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
    | ~ class_Lattices_Olattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1571]) ).

cnf(c_0_2209,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1572]) ).

cnf(c_0_2210,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1573]) ).

cnf(c_0_2211,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1574]) ).

cnf(c_0_2212,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1575]) ).

cnf(c_0_2213,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1576]) ).

cnf(c_0_2214,plain,
    ( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1577]) ).

cnf(c_0_2215,plain,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1578]) ).

cnf(c_0_2216,plain,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1579]) ).

cnf(c_0_2217,plain,
    ( c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1580]) ).

cnf(c_0_2218,plain,
    ( c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1581]) ).

cnf(c_0_2219,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ hBOOL(c_in(X1,c_SetInterval_Oord__class_OlessThan(X2,X3),X3))
    | ~ class_HOL_Oord(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1582]) ).

cnf(c_0_2220,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OlessThan(X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1583]) ).

cnf(c_0_2221,plain,
    ( c_lessequals(X1,X2,X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1584]) ).

cnf(c_0_2222,plain,
    ( c_lessequals(X1,X3,X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1585]) ).

cnf(c_0_2223,plain,
    ( c_lessequals(X1,X2,X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1586]) ).

cnf(c_0_2224,plain,
    ( c_lessequals(X1,X3,X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1587]) ).

cnf(c_0_2225,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1588]) ).

cnf(c_0_2226,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1589]) ).

cnf(c_0_2227,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1590]) ).

cnf(c_0_2228,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1591]) ).

cnf(c_0_2229,plain,
    ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1592]) ).

cnf(c_0_2230,plain,
    ( X3 = X1
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
    | ~ c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(X3,X2),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1593]) ).

cnf(c_0_2231,plain,
    ( c_Finite__Set_Osetsum(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1594]) ).

cnf(c_0_2232,plain,
    ( c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1595]) ).

cnf(c_0_2233,plain,
    ( c_Finite__Set_Ofinite(X3,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1596]) ).

cnf(c_0_2234,plain,
    ( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1597]) ).

cnf(c_0_2235,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1),tc_nat)
    | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1598]) ).

cnf(c_0_2236,plain,
    ( hBOOL(c_in(X3,X1,X2))
    | c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(X1,X2))
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1599]) ).

cnf(c_0_2237,plain,
    ( c_Finite__Set_Ocard(X1,X2) = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(X1,X2))
    | hBOOL(c_in(X3,X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1600]) ).

cnf(c_0_2238,plain,
    ( c_Finite__Set_Ofinite(X1,X3)
    | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1601]) ).

cnf(c_0_2239,plain,
    ( c_Finite__Set_Ofinite(X2,X3)
    | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1602]) ).

cnf(c_0_2240,plain,
    ( c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Osetsum(X3,X1,X2,X4) = c_HOL_Ozero__class_Ozero(X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1603]) ).

cnf(c_0_2241,plain,
    ( c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Osetsum(X3,X1,X2,X4) = c_HOL_Ozero__class_Ozero(X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1604]) ).

cnf(c_0_2242,plain,
    ( hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(t_a,X3)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,v_x),hAPP(X2,v_x),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1605]) ).

cnf(c_0_2243,plain,
    ( hAPP(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(t_a,X3)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(X1,v_x),hAPP(X2,v_x),X3)
    | ~ class_HOL_Ominus(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1606]) ).

cnf(c_0_2244,plain,
    ( hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(t_a,X3)),v_x) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(X1,v_x),hAPP(X2,v_x),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1607]) ).

cnf(c_0_2245,plain,
    ( c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1608]) ).

cnf(c_0_2246,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1609]) ).

cnf(c_0_2247,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1610]) ).

cnf(c_0_2248,plain,
    ( c_lessequals(X3,X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1611]) ).

cnf(c_0_2249,plain,
    ( c_HOL_Oord__class_Oless(X3,X2,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1612]) ).

cnf(c_0_2250,plain,
    ( c_lessequals(X1,X3,X2)
    | ~ c_lessequals(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OlessThan(X3,X2),tc_fun(X2,tc_bool))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1613]) ).

cnf(c_0_2251,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1614]) ).

cnf(c_0_2252,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1615]) ).

cnf(c_0_2253,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1616]) ).

cnf(c_0_2254,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1617]) ).

cnf(c_0_2255,plain,
    ( c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(X2,X3),X3)
    | ~ hBOOL(c_in(X1,X2,X3))
    | ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1618]) ).

cnf(c_0_2256,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1619]) ).

cnf(c_0_2257,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1620]) ).

cnf(c_0_2258,plain,
    ( X1 = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
    | c_Finite__Set_Ocard(X1,X2) != c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1621]) ).

cnf(c_0_2259,plain,
    ( hBOOL(c_in(X1,c_SetInterval_Oord__class_OlessThan(X2,X3),X3))
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_HOL_Oord(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1622]) ).

cnf(c_0_2260,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1623]) ).

cnf(c_0_2261,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1624]) ).

cnf(c_0_2262,plain,
    ( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1625]) ).

cnf(c_0_2263,plain,
    ( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1626]) ).

cnf(c_0_2264,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1627]) ).

cnf(c_0_2265,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1628]) ).

cnf(c_0_2266,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1629]) ).

cnf(c_0_2267,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1630]) ).

cnf(c_0_2268,plain,
    ( c_lessequals(c_Finite__Set_Ocard(X3,X2),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1631]) ).

cnf(c_0_2269,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1632]) ).

cnf(c_0_2270,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1633]) ).

cnf(c_0_2271,plain,
    ( c_lessequals(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1634]) ).

cnf(c_0_2272,plain,
    ( c_lessequals(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1635]) ).

cnf(c_0_2273,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1636]) ).

cnf(c_0_2274,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1637]) ).

cnf(c_0_2275,plain,
    ( c_HOL_Oord__class_Oless(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1638]) ).

cnf(c_0_2276,plain,
    ( c_HOL_Oord__class_Oless(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1639]) ).

cnf(c_0_2277,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1640]) ).

cnf(c_0_2278,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1641]) ).

cnf(c_0_2279,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OatLeastLessThan(X1,X3,X2),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1642]) ).

cnf(c_0_2280,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)) = X1
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1643]) ).

cnf(c_0_2281,plain,
    ( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1644]) ).

cnf(c_0_2282,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1645]) ).

cnf(c_0_2283,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1646]) ).

cnf(c_0_2284,plain,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1647]) ).

cnf(c_0_2285,plain,
    ( c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1648]) ).

cnf(c_0_2286,plain,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1649]) ).

cnf(c_0_2287,plain,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1650]) ).

cnf(c_0_2288,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1651]) ).

cnf(c_0_2289,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1652]) ).

cnf(c_0_2290,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1653]) ).

cnf(c_0_2291,plain,
    ( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = X1
    | ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1654]) ).

cnf(c_0_2292,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1655]) ).

cnf(c_0_2293,plain,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1656]) ).

cnf(c_0_2294,plain,
    ( c_lessequals(X1,X3,tc_nat)
    | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1657]) ).

cnf(c_0_2295,plain,
    ( c_HOL_Oord__class_Oless(X1,X3,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1658]) ).

cnf(c_0_2296,plain,
    ( c_HOL_Oord__class_Oless(c_Suc(X1),X3,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1659]) ).

cnf(c_0_2297,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1660]) ).

cnf(c_0_2298,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1661]) ).

cnf(c_0_2299,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1662]) ).

cnf(c_0_2300,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1663]) ).

cnf(c_0_2301,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1664]) ).

cnf(c_0_2302,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1665]) ).

cnf(c_0_2303,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1666]) ).

cnf(c_0_2304,plain,
    ( c_lessequals(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OlessThan(X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1667]) ).

cnf(c_0_2305,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1668]) ).

cnf(c_0_2306,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1669]) ).

cnf(c_0_2307,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1670]) ).

cnf(c_0_2308,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1671]) ).

cnf(c_0_2309,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1672]) ).

cnf(c_0_2310,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1673]) ).

cnf(c_0_2311,plain,
    ( c_lessequals(X1,X3,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1674]) ).

cnf(c_0_2312,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1675]) ).

cnf(c_0_2313,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1676]) ).

cnf(c_0_2314,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1677]) ).

cnf(c_0_2315,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1678]) ).

cnf(c_0_2316,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1679]) ).

cnf(c_0_2317,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2) = X3
    | c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) != c_Orderings_Obot__class_Obot(X1)
    | c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1680]) ).

cnf(c_0_2318,plain,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1681]) ).

cnf(c_0_2319,plain,
    ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1682]) ).

cnf(c_0_2320,plain,
    ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1683]) ).

cnf(c_0_2321,plain,
    ( X1 = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1684]) ).

cnf(c_0_2322,plain,
    ( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Complete__Lattice_OSup__class_OSup(X2,X3),X3)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1685]) ).

cnf(c_0_2323,plain,
    ( hBOOL(hAPP(X2,X1))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_1686]) ).

cnf(c_0_2324,plain,
    ( c_Finite__Set_Ofinite(X2,X3)
    | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X1,X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1687]) ).

cnf(c_0_2325,plain,
    ( c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1688]) ).

cnf(c_0_2326,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1689]) ).

cnf(c_0_2327,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1690]) ).

cnf(c_0_2328,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1691]) ).

cnf(c_0_2329,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1692]) ).

cnf(c_0_2330,plain,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_1693]) ).

cnf(c_0_2331,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = X1
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1694]) ).

cnf(c_0_2332,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)) = X1
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1695]) ).

cnf(c_0_2333,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1696]) ).

cnf(c_0_2334,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1697]) ).

cnf(c_0_2335,plain,
    ( hBOOL(hAPP(X2,X4))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_1698]) ).

cnf(c_0_2336,plain,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1699]) ).

cnf(c_0_2337,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1700]) ).

cnf(c_0_2338,plain,
    ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3)
    | ~ c_lessequals(X1,X2,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1701]) ).

cnf(c_0_2339,plain,
    ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1702]) ).

cnf(c_0_2340,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1703]) ).

cnf(c_0_2341,plain,
    ( c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1704]) ).

cnf(c_0_2342,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1705]) ).

cnf(c_0_2343,plain,
    ( c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1706]) ).

cnf(c_0_2344,plain,
    ( c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1707]) ).

cnf(c_0_2345,plain,
    ( hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(t_a,X1)),X2),v_x) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(X2,v_x))
    | ~ class_HOL_Ouminus(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1708]) ).

cnf(c_0_2346,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1709]) ).

cnf(c_0_2347,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1710]) ).

cnf(c_0_2348,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1711]) ).

cnf(c_0_2349,plain,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1712]) ).

cnf(c_0_2350,plain,
    ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1713]) ).

cnf(c_0_2351,plain,
    ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1714]) ).

cnf(c_0_2352,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)) = c_HOL_Ominus__class_Ominus(X3,X2,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1715]) ).

cnf(c_0_2353,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1716]) ).

cnf(c_0_2354,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1717]) ).

cnf(c_0_2355,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1718]) ).

cnf(c_0_2356,plain,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1719]) ).

cnf(c_0_2357,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1720]) ).

cnf(c_0_2358,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1721]) ).

cnf(c_0_2359,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1722]) ).

cnf(c_0_2360,plain,
    ( ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1723]) ).

cnf(c_0_2361,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1724]) ).

cnf(c_0_2362,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1725]) ).

cnf(c_0_2363,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1726]) ).

cnf(c_0_2364,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1727]) ).

cnf(c_0_2365,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1728]) ).

cnf(c_0_2366,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1729]) ).

cnf(c_0_2367,plain,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1730]) ).

cnf(c_0_2368,plain,
    ( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1731]) ).

cnf(c_0_2369,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1732]) ).

cnf(c_0_2370,plain,
    ( c_SetInterval_Oord__class_OatLeastLessThan(X2,X1,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1733]) ).

cnf(c_0_2371,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1734]) ).

cnf(c_0_2372,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = X1
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1735]) ).

cnf(c_0_2373,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = X1
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1736]) ).

cnf(c_0_2374,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) = X1
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1737]) ).

cnf(c_0_2375,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1738]) ).

cnf(c_0_2376,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1739]) ).

cnf(c_0_2377,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1740]) ).

cnf(c_0_2378,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1741]) ).

cnf(c_0_2379,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1742]) ).

cnf(c_0_2380,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1743]) ).

cnf(c_0_2381,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1744]) ).

cnf(c_0_2382,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1745]) ).

cnf(c_0_2383,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1746]) ).

cnf(c_0_2384,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1747]) ).

cnf(c_0_2385,plain,
    ( c_Finite__Set_Ofinite(X1,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1748]) ).

cnf(c_0_2386,plain,
    ( c_Finite__Set_Ofinite(X3,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1749]) ).

cnf(c_0_2387,plain,
    ( hBOOL(c_in(X2,X1,X3))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_1750]) ).

cnf(c_0_2388,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1751]) ).

cnf(c_0_2389,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1752]) ).

cnf(c_0_2390,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1753]) ).

cnf(c_0_2391,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | X1 = c_Suc(X2)
    | ~ c_lessequals(X1,c_Suc(X2),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1754]) ).

cnf(c_0_2392,plain,
    ( X2 = X1
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1755]) ).

cnf(c_0_2393,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1756]) ).

cnf(c_0_2394,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1757]) ).

cnf(c_0_2395,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1758]) ).

cnf(c_0_2396,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1759]) ).

cnf(c_0_2397,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1760]) ).

cnf(c_0_2398,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1761]) ).

cnf(c_0_2399,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1762]) ).

cnf(c_0_2400,plain,
    ( c_lessequals(X1,X2,X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) != X1
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1763]) ).

cnf(c_0_2401,plain,
    ( c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1764]) ).

cnf(c_0_2402,plain,
    ( c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1765]) ).

cnf(c_0_2403,plain,
    ( c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1766]) ).

cnf(c_0_2404,plain,
    ( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1767]) ).

cnf(c_0_2405,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1768]) ).

cnf(c_0_2406,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1769]) ).

cnf(c_0_2407,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1770]) ).

cnf(c_0_2408,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X2 = X1
    | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1771]) ).

cnf(c_0_2409,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1772]) ).

cnf(c_0_2410,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1773]) ).

cnf(c_0_2411,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1774]) ).

cnf(c_0_2412,plain,
    ( c_Suc(X1) = X2
    | c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1775]) ).

cnf(c_0_2413,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1776]) ).

cnf(c_0_2414,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1777]) ).

cnf(c_0_2415,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1778]) ).

cnf(c_0_2416,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1779]) ).

cnf(c_0_2417,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1780]) ).

cnf(c_0_2418,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1781]) ).

cnf(c_0_2419,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1782]) ).

cnf(c_0_2420,plain,
    ( c_Finite__Set_Ofinite(c_Set_Oinsert(X3,X1,X2),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1783]) ).

cnf(c_0_2421,plain,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1784]) ).

cnf(c_0_2422,plain,
    ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1785]) ).

cnf(c_0_2423,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1786]) ).

cnf(c_0_2424,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1787]) ).

cnf(c_0_2425,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1788]) ).

cnf(c_0_2426,plain,
    ( c_lessequals(c_Suc(X1),X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1789]) ).

cnf(c_0_2427,plain,
    ( c_lessequals(c_Suc(X1),X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1790]) ).

cnf(c_0_2428,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)
    | ~ c_lessequals(X1,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1791]) ).

cnf(c_0_2429,plain,
    ( c_lessequals(X1,c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1792]) ).

cnf(c_0_2430,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1793]) ).

cnf(c_0_2431,plain,
    ( c_Fun_Osurj(X1,X2,X3)
    | ~ c_Fun_Obij(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1794]) ).

cnf(c_0_2432,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1795]) ).

cnf(c_0_2433,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1796]) ).

cnf(c_0_2434,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1797]) ).

cnf(c_0_2435,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1798]) ).

cnf(c_0_2436,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1799]) ).

cnf(c_0_2437,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | c_SetInterval_Oord__class_OatLeastLessThan(X1,c_Suc(X2),tc_nat) = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)) ),
    inference(split_conjunct,[status(thm)],[c_0_1800]) ).

cnf(c_0_2438,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1801]) ).

cnf(c_0_2439,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1802]) ).

cnf(c_0_2440,plain,
    ( c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1803]) ).

cnf(c_0_2441,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1804]) ).

cnf(c_0_2442,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1805]) ).

cnf(c_0_2443,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1806]) ).

cnf(c_0_2444,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1807]) ).

cnf(c_0_2445,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X2 = X1
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1808]) ).

cnf(c_0_2446,plain,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1809]) ).

cnf(c_0_2447,plain,
    ( c_lessequals(X1,X1,X2)
    | c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1810]) ).

cnf(c_0_2448,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1811]) ).

cnf(c_0_2449,plain,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1812]) ).

cnf(c_0_2450,plain,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1813]) ).

cnf(c_0_2451,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1814]) ).

cnf(c_0_2452,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1815]) ).

cnf(c_0_2453,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1816]) ).

cnf(c_0_2454,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1817]) ).

cnf(c_0_2455,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | c_lessequals(c_Suc(X2),X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1818]) ).

cnf(c_0_2456,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)
    | c_HOL_Oord__class_Oless(X1,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1819]) ).

cnf(c_0_2457,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1820]) ).

cnf(c_0_2458,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1821]) ).

cnf(c_0_2459,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1822]) ).

cnf(c_0_2460,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1823]) ).

cnf(c_0_2461,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1824]) ).

cnf(c_0_2462,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | c_lessequals(X2,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1825]) ).

cnf(c_0_2463,plain,
    ( X1 = c_Orderings_Obot__class_Obot(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1826]) ).

cnf(c_0_2464,plain,
    ( X1 = c_Orderings_Obot__class_Obot(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2) != c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1827]) ).

cnf(c_0_2465,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1828]) ).

cnf(c_0_2466,plain,
    ( X1 = c_Orderings_Otop__class_Otop(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2) != c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1829]) ).

cnf(c_0_2467,plain,
    ( X1 = c_Orderings_Otop__class_Otop(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X2) != c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1830]) ).

cnf(c_0_2468,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) = c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1831]) ).

cnf(c_0_2469,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1832]) ).

cnf(c_0_2470,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1833]) ).

cnf(c_0_2471,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1834]) ).

cnf(c_0_2472,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1835]) ).

cnf(c_0_2473,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1836]) ).

cnf(c_0_2474,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1837]) ).

cnf(c_0_2475,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1838]) ).

cnf(c_0_2476,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1839]) ).

cnf(c_0_2477,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1840]) ).

cnf(c_0_2478,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1841]) ).

cnf(c_0_2479,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1842]) ).

cnf(c_0_2480,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1843]) ).

cnf(c_0_2481,plain,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1844]) ).

cnf(c_0_2482,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1845]) ).

cnf(c_0_2483,plain,
    ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_Suc(X2),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Power_Opower(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1846]) ).

cnf(c_0_2484,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Ring__and__Field_Osemiring__0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1847]) ).

cnf(c_0_2485,plain,
    ( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1848]) ).

cnf(c_0_2486,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ocard(X1,X2) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1849]) ).

cnf(c_0_2487,plain,
    ( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1850]) ).

cnf(c_0_2488,plain,
    ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Orderings_Obot(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1851]) ).

cnf(c_0_2489,plain,
    ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Orderings_Otop(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1852]) ).

cnf(c_0_2490,plain,
    ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
    | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1853]) ).

cnf(c_0_2491,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1854]) ).

cnf(c_0_2492,plain,
    ( X1 = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1855]) ).

cnf(c_0_2493,plain,
    ( X1 = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1856]) ).

cnf(c_0_2494,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(X2),X2) = c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1857]) ).

cnf(c_0_2495,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1858]) ).

cnf(c_0_2496,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1859]) ).

cnf(c_0_2497,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(X2),X2) = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1860]) ).

cnf(c_0_2498,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2) = X1
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1861]) ).

cnf(c_0_2499,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1862]) ).

cnf(c_0_2500,plain,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1863]) ).

cnf(c_0_2501,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X1),X2,X1) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1864]) ).

cnf(c_0_2502,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Otop__class_Otop(X2),X2) = X1
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1865]) ).

cnf(c_0_2503,plain,
    ( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
    | ~ class_Orderings_Obot(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1866]) ).

cnf(c_0_2504,plain,
    ( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
    | ~ class_Orderings_Otop(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1867]) ).

cnf(c_0_2505,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1868]) ).

cnf(c_0_2506,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1869]) ).

cnf(c_0_2507,plain,
    ( X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1))
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1870]) ).

cnf(c_0_2508,plain,
    ( X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1))
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1871]) ).

cnf(c_0_2509,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1872]) ).

cnf(c_0_2510,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1873]) ).

cnf(c_0_2511,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1874]) ).

cnf(c_0_2512,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1875]) ).

cnf(c_0_2513,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1876]) ).

cnf(c_0_2514,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1877]) ).

cnf(c_0_2515,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1878]) ).

cnf(c_0_2516,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1879]) ).

cnf(c_0_2517,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1880]) ).

cnf(c_0_2518,plain,
    ( X1 = X2
    | c_SetInterval_Oord__class_OlessThan(X1,X3) != c_SetInterval_Oord__class_OlessThan(X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1881]) ).

cnf(c_0_2519,plain,
    ( X1 = X2
    | c_Nat_Osemiring__1__class_Oof__nat(X1,X3) != c_Nat_Osemiring__1__class_Oof__nat(X2,X3)
    | ~ class_Nat_Osemiring__char__0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1882]) ).

cnf(c_0_2520,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1883]) ).

cnf(c_0_2521,plain,
    ( c_HOL_Ozero__class_Ozero(X1) = X2
    | c_HOL_Ozero__class_Ozero(X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1884]) ).

cnf(c_0_2522,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != X1
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1885]) ).

cnf(c_0_2523,plain,
    ( class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))
    | ~ class_Finite__Set_Ofinite_Ofinite(X1)
    | ~ class_Finite__Set_Ofinite_Ofinite(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1886]) ).

cnf(c_0_2524,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Orderings_Otop__class_Otop(X1)) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1887]) ).

cnf(c_0_2525,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Orderings_Obot__class_Obot(X1)) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1888]) ).

cnf(c_0_2526,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1889]) ).

cnf(c_0_2527,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1890]) ).

cnf(c_0_2528,plain,
    ( c_HOL_Ozero__class_Ozero(X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1))
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1891]) ).

cnf(c_0_2529,plain,
    ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X2,X1))
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1892]) ).

cnf(c_0_2530,plain,
    ( class_Lattices_Oupper__semilattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1893]) ).

cnf(c_0_2531,plain,
    ( class_Lattices_Olower__semilattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1894]) ).

cnf(c_0_2532,plain,
    ( class_Lattices_Odistrib__lattice(tc_fun(X2,X1))
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1895]) ).

cnf(c_0_2533,plain,
    ( class_Lattices_Obounded__lattice(tc_fun(X2,X1))
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1896]) ).

cnf(c_0_2534,plain,
    ( class_Lattices_Oboolean__algebra(tc_fun(X2,X1))
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1897]) ).

cnf(c_0_2535,plain,
    ( class_Orderings_Opreorder(tc_fun(X2,X1))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1898]) ).

cnf(c_0_2536,plain,
    ( class_Lattices_Olattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1899]) ).

cnf(c_0_2537,plain,
    ( class_Orderings_Oorder(tc_fun(X2,X1))
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1900]) ).

cnf(c_0_2538,plain,
    ( class_Orderings_Otop(tc_fun(X2,X1))
    | ~ class_Orderings_Otop(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1901]) ).

cnf(c_0_2539,plain,
    ( class_Orderings_Obot(tc_fun(X2,X1))
    | ~ class_Orderings_Obot(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1902]) ).

cnf(c_0_2540,plain,
    ( class_HOL_Ouminus(tc_fun(X2,X1))
    | ~ class_HOL_Ouminus(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1903]) ).

cnf(c_0_2541,plain,
    ( class_HOL_Ominus(tc_fun(X2,X1))
    | ~ class_HOL_Ominus(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1904]) ).

cnf(c_0_2542,plain,
    ( class_HOL_Oord(tc_fun(X2,X1))
    | ~ class_HOL_Oord(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1905]) ).

cnf(c_0_2543,plain,
    ( c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ocard(X1,X2) = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1906]) ).

cnf(c_0_2544,plain,
    ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1907]) ).

cnf(c_0_2545,plain,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Finite__Set_Ofinite_Ofinite(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1908]) ).

cnf(c_0_2546,plain,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1909]) ).

cnf(c_0_2547,plain,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1910]) ).

cnf(c_0_2548,plain,
    ( c_Fun_Oinj__on(X4,X2,X3,X5)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X3)
    | ~ c_Fun_Oinj__on(X4,c_Set_Oimage(X1,X2,X3,X3),X3,X5)
    | hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5))) != hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5)))
    | hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5)) != hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5)) ),
    c_0_1911,
    [final] ).

cnf(c_0_2549,plain,
    ( c_Fun_Oinj__on(X4,c_Set_Oimage(X1,X2,X3,X3),X3,X5)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X3)
    | ~ c_Fun_Oinj__on(X4,X2,X3,X5)
    | hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5))) != hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5)))
    | hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5)) != hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5)) ),
    c_0_1912,
    [final] ).

cnf(c_0_2550,plain,
    ( hAPP(c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),c_Hilbert__Choice_Oinv__into(c_Set_Oimage(X2,X3,X4,X5),X1,X5,X6),X5,X4,X6),X7) = hAPP(c_Hilbert__Choice_Oinv__into(X3,c_Fun_Ocomp(X1,X2,X5,X6,X4),X4,X6),X7)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6)
    | ~ c_Fun_Oinj__on(X2,X3,X4,X5)
    | ~ hBOOL(c_in(X7,c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6),X6)) ),
    c_0_1913,
    [final] ).

cnf(c_0_2551,plain,
    ( hAPP(c_Fun_Ocomp(c_Fun_Othe__inv__into(X3,X2,X4,X5),c_Fun_Othe__inv__into(c_Set_Oimage(X2,X3,X4,X5),X1,X5,X6),X5,X4,X6),X7) = hAPP(c_Fun_Othe__inv__into(X3,c_Fun_Ocomp(X1,X2,X5,X6,X4),X4,X6),X7)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6)
    | ~ c_Fun_Oinj__on(X2,X3,X4,X5)
    | ~ hBOOL(c_in(X7,c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6),X6)) ),
    c_0_1914,
    [final] ).

cnf(c_0_2552,plain,
    ( hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5))) = hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5)))
    | hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5))
    | c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X2,X3,X4,X4)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5) ),
    c_0_1915,
    [final] ).

cnf(c_0_2553,plain,
    ( hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5))) = hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5)))
    | hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5))
    | c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5)
    | ~ c_Fun_Oinj__on(X2,X3,X4,X4)
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
    c_0_1916,
    [final] ).

cnf(c_0_2554,plain,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | hAPP(X5,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(X2,X1,X5,X3,X4))) != c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(X2,X1,X5,X3,X4) ),
    c_0_1917,
    [final] ).

cnf(c_0_2555,plain,
    ( hBOOL(hAPP(X4,X5))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ hBOOL(hAPP(X4,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X4,X1,X2,X3)))) ),
    c_0_1918,
    [final] ).

cnf(c_0_2556,plain,
    ( c_Fun_Obij__betw(c_Fun_Ocomp(X6,X1,X5,X8,X4),X2,X7,X4,X8)
    | ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5)
    | ~ c_Fun_Obij__betw(X6,X3,X7,X5,X8) ),
    c_0_1919,
    [final] ).

cnf(c_0_2557,plain,
    ( hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X1,X2,X3,X4,X5),X1,X4))
    | c_Fun_Oinj__on(X3,X1,X4,X5)
    | ~ c_Fun_Oinj__on(X2,X1,X4,X4)
    | ~ c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5) ),
    c_0_1920,
    [final] ).

cnf(c_0_2558,plain,
    ( hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X1,X2,X3,X4,X5),X1,X4))
    | c_Fun_Oinj__on(X3,X1,X4,X5)
    | ~ c_Fun_Oinj__on(X2,X1,X4,X4)
    | ~ c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5) ),
    c_0_1921,
    [final] ).

cnf(c_0_2559,plain,
    ( hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X1,X2,X3,X4,X5),X1,X4))
    | c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5)
    | ~ c_Fun_Oinj__on(X2,X1,X4,X4)
    | ~ c_Fun_Oinj__on(X3,X1,X4,X5) ),
    c_0_1922,
    [final] ).

cnf(c_0_2560,plain,
    ( hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X1,X2,X3,X4,X5),X1,X4))
    | c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5)
    | ~ c_Fun_Oinj__on(X2,X1,X4,X4)
    | ~ c_Fun_Oinj__on(X3,X1,X4,X5) ),
    c_0_1923,
    [final] ).

cnf(c_0_2561,plain,
    ( c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X4,X1,X3,X5,X2),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X5),X5)
    | ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),X3) ),
    c_0_1924,
    [final] ).

cnf(c_0_2562,plain,
    ( ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
    | ~ hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)) ),
    c_0_1925,
    [final] ).

cnf(c_0_2563,plain,
    ( c_Fun_Ocomp(c_Fun_Ocomp(X4,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X2,X5,X3),X1,X3,X5,X2) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    c_0_1926,
    [final] ).

cnf(c_0_2564,plain,
    ( c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X4,X5,X2),c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X2,X5,X3) = c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),c_Fun_Ocomp(X1,X4,X2,X3,X5),X5,X3)
    | ~ c_Fun_Obij(X1,X2,X3)
    | ~ c_Fun_Obij(X4,X5,X2) ),
    c_0_1927,
    [final] ).

cnf(c_0_2565,plain,
    ( hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(X1,X2,X3,X4,X5),X1,X4))
    | c_Fun_Oinj__on(X2,X1,X4,X5) ),
    c_0_1928,
    [final] ).

cnf(c_0_2566,plain,
    ( X1 = X6
    | ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5))
    | ~ hBOOL(c_in(X6,c_Set_Oimage(X2,X3,X4,X5),X5))
    | hAPP(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1) != hAPP(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X6) ),
    c_0_1929,
    [final] ).

cnf(c_0_2567,plain,
    ( hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6) = hAPP(c_Fun_Ocomp(X7,X8,X9,X4,X10),X11)
    | hAPP(X1,hAPP(X2,X6)) != hAPP(X7,hAPP(X8,X11)) ),
    c_0_1930,
    [final] ).

cnf(c_0_2568,plain,
    ( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4)
    | ~ c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4) ),
    c_0_1931,
    [final] ).

cnf(c_0_2569,plain,
    ( hBOOL(c_in(hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),X5),X6,X3))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ hBOOL(c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4))
    | ~ c_lessequals(X2,X6,tc_fun(X3,tc_bool)) ),
    c_0_1932,
    [final] ).

cnf(c_0_2570,plain,
    ( hAPP(X1,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X1,X2),X1,X2,X3,X4)) = hAPP(X1,X2)
    | hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3),X3))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3) ),
    c_0_1933,
    [final] ).

cnf(c_0_2571,plain,
    ( c_Fun_Oinj__on(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(X5,c_Set_Oimage(X1,X2,X3,X4),X4,X6) ),
    c_0_1934,
    [final] ).

cnf(c_0_2572,plain,
    ( hBOOL(c_in(hAPP(X1,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X4),X4))
    | c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    c_0_1935,
    [final] ).

cnf(c_0_2573,plain,
    ( c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(c_in(X3,X1,X2))
    | ~ hBOOL(c_in(X4,X1,X2)) ),
    c_0_1936,
    [final] ).

cnf(c_0_2574,plain,
    ( c_Fun_Obij__betw(X1,X2,X5,X3,X4)
    | ~ c_Fun_Obij__betw(c_FuncSet_Orestrict(X1,X2,X3,X4),X2,X5,X3,X4) ),
    c_0_1937,
    [final] ).

cnf(c_0_2575,plain,
    ( hAPP(X1,hAPP(X2,X3)) = hAPP(X4,hAPP(X5,X3))
    | c_Fun_Ocomp(X1,X2,X6,X7,X8) != c_Fun_Ocomp(X4,X5,X9,X7,X8) ),
    c_0_1938,
    [final] ).

cnf(c_0_2576,plain,
    ( hBOOL(c_in(hAPP(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1),X3,X4))
    | ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5)) ),
    c_0_1939,
    [final] ).

cnf(c_0_2577,plain,
    ( c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
    | ~ c_Fun_Oinj__on(X1,X2,X4,X5)
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5)
    | c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
    c_0_1940,
    [final] ).

cnf(c_0_2578,plain,
    ( hAPP(X1,hAPP(X2,X3)) = hAPP(X4,X3)
    | c_Fun_Ocomp(X1,X2,X5,X6,X7) != c_Fun_Ocomp(c_Fun_Oid(X6),X4,X6,X6,X7) ),
    c_0_1941,
    [final] ).

cnf(c_0_2579,plain,
    ( c_Finite__Set_Osetsum(X5,c_Set_Oimage(X1,X2,X3,X4),X4,X6) = c_Finite__Set_Osetsum(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X6) ),
    c_0_1942,
    [final] ).

cnf(c_0_2580,plain,
    ( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X1,X2),X1,X2,X4,X3) != X2 ),
    c_0_1943,
    [final] ).

cnf(c_0_2581,plain,
    ( c_Fun_Obij__betw(c_FuncSet_Orestrict(X1,X2,X4,X5),X2,X3,X4,X5)
    | ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5) ),
    c_0_1944,
    [final] ).

cnf(c_0_2582,plain,
    ( c_Fun_Obij__betw(c_Fun_Othe__inv__into(X2,X1,X4,X5),X3,X2,X5,X4)
    | ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5) ),
    c_0_1945,
    [final] ).

cnf(c_0_2583,plain,
    ( c_Fun_Obij__betw(c_Hilbert__Choice_Oinv__into(X2,X1,X4,X5),X3,X2,X5,X4)
    | ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5) ),
    c_0_1946,
    [final] ).

cnf(c_0_2584,plain,
    ( c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,X3),X4,X3,X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Finite__Set_Osetsum(X2,X4,X3,X1))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_1947,
    [final] ).

cnf(c_0_2585,plain,
    ( hAPP(X1,hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),X5)) = X5
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ hBOOL(c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4)) ),
    c_0_1948,
    [final] ).

cnf(c_0_2586,plain,
    ( c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X1,X3,X2,X2) != c_Fun_Oid(X2) ),
    c_0_1949,
    [final] ).

cnf(c_0_2587,plain,
    ( hAPP(X2,X1) = X3
    | ~ hBOOL(c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),X5)) ),
    c_0_1950,
    [final] ).

cnf(c_0_2588,plain,
    ( hAPP(X1,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X4,X1,X3,X2)) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ hBOOL(c_in(X4,c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),X3)) ),
    c_0_1951,
    [final] ).

cnf(c_0_2589,plain,
    ( c_Fun_Osurj(X1,X2,X3)
    | c_Fun_Ocomp(X1,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X2,X3,X3) != c_Fun_Oid(X3) ),
    c_0_1952,
    [final] ).

cnf(c_0_2590,plain,
    ( c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(hAPP(X2,X1),X2,X3,X4) = X1
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3)
    | ~ hBOOL(c_in(hAPP(X2,X1),c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3),X3)) ),
    c_0_1953,
    [final] ).

cnf(c_0_2591,plain,
    ( hBOOL(c_in(c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X4,X1,X2,X3),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),X3))
    | hBOOL(hAPP(X4,X5))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    c_0_1954,
    [final] ).

cnf(c_0_2592,plain,
    ( c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3) = X4
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3)
    | hAPP(X2,hAPP(X4,c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__imp__inv__eq__1__1(X2,X4,X1,X3))) != c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__imp__inv__eq__1__1(X2,X4,X1,X3) ),
    c_0_1955,
    [final] ).

cnf(c_0_2593,plain,
    ( hAPP(X2,hAPP(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1)) = X1
    | ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5)) ),
    c_0_1956,
    [final] ).

cnf(c_0_2594,plain,
    ( c_Finite__Set_Ocard(X2,X3) = c_Finite__Set_Ocard(X5,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ c_Fun_Oinj__on(X6,X5,X4,X3)
    | ~ c_lessequals(c_Set_Oimage(X6,X5,X4,X3),X2,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ c_Finite__Set_Ofinite(X5,X4) ),
    c_0_1957,
    [final] ).

cnf(c_0_2595,plain,
    ( c_Fun_Obij(c_Fun_Ocomp(X4,X1,X3,X5,X2),X2,X5)
    | ~ c_Fun_Obij(X1,X2,X3)
    | ~ c_Fun_Obij(X4,X3,X5) ),
    c_0_1958,
    [final] ).

cnf(c_0_2596,plain,
    ( c_Fun_Osurj(c_Fun_Ocomp(X4,X1,X3,X5,X2),X2,X5)
    | ~ c_Fun_Osurj(X1,X2,X3)
    | ~ c_Fun_Osurj(X4,X3,X5) ),
    c_0_1959,
    [final] ).

cnf(c_0_2597,plain,
    ( c_lessequals(c_Set_Oimage(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X4),X2,X3),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),c_Set_Oimage(X1,X4,X2,X3)),tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    c_0_1960,
    [final] ).

cnf(c_0_2598,plain,
    ( hBOOL(c_in(X4,X5,X2))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ hBOOL(c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3)) ),
    c_0_1961,
    [final] ).

cnf(c_0_2599,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
    c_0_1962,
    [final] ).

cnf(c_0_2600,plain,
    ( X1 = X2
    | ~ c_Typedef_Otype__definition(X3,X4,X5,X6,X7)
    | ~ hBOOL(c_in(X1,X5,X7))
    | ~ hBOOL(c_in(X2,X5,X7))
    | hAPP(X4,X1) != hAPP(X4,X2) ),
    c_0_1963,
    [final] ).

cnf(c_0_2601,plain,
    ( c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X1,X3,X2,X2) = c_Fun_Oid(X2)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    c_0_1964,
    [final] ).

cnf(c_0_2602,plain,
    ( c_lessequals(X4,X5,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    c_0_1965,
    [final] ).

cnf(c_0_2603,plain,
    ( c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) = X3
    | ~ c_Typedef_Otype__definition(X1,X2,X3,X4,X5) ),
    c_0_1966,
    [final] ).

cnf(c_0_2604,plain,
    ( c_Set_Oimage(X2,X3,X5,X4) = c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool))
    | ~ c_Typedef_Otype__definition(X1,X2,X3,X4,X5) ),
    c_0_1967,
    [final] ).

cnf(c_0_2605,plain,
    ( c_Set_Oimage(X1,X2,X4,X5) = X3
    | ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5) ),
    c_0_1968,
    [final] ).

cnf(c_0_2606,plain,
    ( c_Fun_Oinj__on(X1,X2,X4,X5)
    | ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5) ),
    c_0_1969,
    [final] ).

cnf(c_0_2607,plain,
    ( hAPP(X1,hAPP(X2,X6)) = X6
    | ~ c_Typedef_Otype__definition(X1,X2,X3,X4,X5)
    | ~ hBOOL(c_in(X6,X3,X5)) ),
    c_0_1970,
    [final] ).

cnf(c_0_2608,plain,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X5,X6,tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
    c_0_1971,
    [final] ).

cnf(c_0_2609,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X5,X6,tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
    c_0_1972,
    [final] ).

cnf(c_0_2610,plain,
    ( c_Fun_Obij__betw(X1,X2,c_Set_Oimage(X1,X2,X3,X4),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    c_0_1973,
    [final] ).

cnf(c_0_2611,plain,
    ( hBOOL(c_in(hAPP(X1,X6),X3,X5))
    | ~ c_Typedef_Otype__definition(X1,X2,X3,X4,X5) ),
    c_0_1974,
    [final] ).

cnf(c_0_2612,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),c_Set_Oimage(X1,X4,X2,X3)),c_Set_Oimage(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X4),X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    c_0_1975,
    [final] ).

cnf(c_0_2613,plain,
    ( c_Set_Oimage(X1,c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X4,X3,X2),X2,X3) = X4
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    c_0_1976,
    [final] ).

cnf(c_0_2614,plain,
    ( c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X4,c_SetInterval_Oord__class_OatLeastLessThan(X1,X3,tc_nat),tc_nat,X5),c_Finite__Set_Osetsum(X4,c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,tc_nat),tc_nat,X5),X5) = c_Finite__Set_Osetsum(X4,c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,tc_nat),tc_nat,X5)
    | ~ c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(X2,X3,tc_nat)
    | ~ class_OrderedGroup_Oab__group__add(X5) ),
    c_0_1977,
    [final] ).

cnf(c_0_2615,plain,
    ( c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    c_0_1978,
    [final] ).

cnf(c_0_2616,plain,
    ( X1 = X2
    | ~ c_Typedef_Otype__definition(X3,X4,X5,X6,X7)
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    c_0_1979,
    [final] ).

cnf(c_0_2617,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) = c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X5,tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    c_0_1980,
    [final] ).

cnf(c_0_2618,plain,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    c_0_1981,
    [final] ).

cnf(c_0_2619,plain,
    ( hAPP(X2,hAPP(X1,X6)) = X6
    | ~ c_Typedef_Otype__definition(X1,X2,X3,X4,X5) ),
    c_0_1982,
    [final] ).

cnf(c_0_2620,plain,
    ( c_Finite__Set_Ocard(X2,X4) = c_Finite__Set_Ocard(X3,X5)
    | ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5) ),
    c_0_1983,
    [final] ).

cnf(c_0_2621,plain,
    ( c_Fun_Ocomp(X1,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X2,X3,X3) = c_Fun_Oid(X3)
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    c_0_1984,
    [final] ).

cnf(c_0_2622,plain,
    ( hBOOL(c_in(hAPP(X2,X1),X3,X5))
    | ~ hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)) ),
    c_0_1985,
    [final] ).

cnf(c_0_2623,plain,
    ( hBOOL(c_in(hAPP(X2,X1),X3,X5))
    | ~ hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)) ),
    c_0_1986,
    [final] ).

cnf(c_0_2624,plain,
    ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),c_Set_Oimage(X1,X4,X2,X3),X3,X2) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    c_0_1987,
    [final] ).

cnf(c_0_2625,plain,
    ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),c_Set_Oimage(X1,X4,X2,X3),X3,X2) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    c_0_1988,
    [final] ).

cnf(c_0_2626,plain,
    ( hBOOL(c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ hBOOL(c_in(X4,X5,X2)) ),
    c_0_1989,
    [final] ).

cnf(c_0_2627,plain,
    ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),c_Set_Oimage(X1,X5,X3,X4),X4,X3) = X5
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
    c_0_1990,
    [final] ).

cnf(c_0_2628,plain,
    ( hBOOL(hAPP(X2,hAPP(X1,X5)))
    | ~ hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5)) ),
    c_0_1991,
    [final] ).

cnf(c_0_2629,plain,
    ( c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(X4,X5,tc_fun(X2,tc_bool)) ),
    c_0_1992,
    [final] ).

cnf(c_0_2630,plain,
    ( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1,X5,X4)
    | ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool)) ),
    c_0_1993,
    [final] ).

cnf(c_0_2631,plain,
    ( c_Set_Oimage(c_Fun_Othe__inv__into(X2,X1,X3,X4),c_Set_Oimage(X1,X2,X3,X4),X4,X3) = X2
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    c_0_1994,
    [final] ).

cnf(c_0_2632,plain,
    ( c_Fun_Oinj__on(c_Fun_Othe__inv__into(X2,X1,X3,X4),c_Set_Oimage(X1,X2,X3,X4),X4,X3)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    c_0_1995,
    [final] ).

cnf(c_0_2633,plain,
    ( c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2,X5) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X4,X1,X2,X5),hAPP(X4,X3),X5)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(c_in(X3,X1,X2))
    | ~ class_OrderedGroup_Oab__group__add(X5) ),
    c_0_1996,
    [final] ).

cnf(c_0_2634,plain,
    ( c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2,X5) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X4,X1,X2,X5),hAPP(X4,X3),X5)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(c_in(X3,X1,X2))
    | ~ class_Ring__and__Field_Oring(X5) ),
    c_0_1997,
    [final] ).

cnf(c_0_2635,plain,
    ( c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X4,X1,X2,X5),c_Finite__Set_Osetsum(X4,X3,X2,X5),X5) = c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2,X5)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
    | ~ class_OrderedGroup_Oab__group__add(X5) ),
    c_0_1998,
    [final] ).

cnf(c_0_2636,plain,
    ( c_Set_Oimage(X3,X1,X2,X2) = X1
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(c_Set_Oimage(X3,X1,X2,X2),X1,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X3,X1,X2,X2) ),
    c_0_1999,
    [final] ).

cnf(c_0_2637,plain,
    ( c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Obij(X1,X2,X3)
    | ~ c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool)) ),
    c_0_2000,
    [final] ).

cnf(c_0_2638,plain,
    ( c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool))
    | ~ c_Fun_Obij(X1,X2,X3)
    | ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    c_0_2001,
    [final] ).

cnf(c_0_2639,plain,
    ( c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Osurj(X1,X2,X3)
    | ~ c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool)) ),
    c_0_2002,
    [final] ).

cnf(c_0_2640,plain,
    ( c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(c_in(X3,X1,X2)) ),
    c_0_2003,
    [final] ).

cnf(c_0_2641,plain,
    ( c_lessequals(c_Finite__Set_Ocard(X2,X3),c_Finite__Set_Ocard(X5,X4),tc_nat)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ c_Finite__Set_Ofinite(X5,X4) ),
    c_0_2004,
    [final] ).

cnf(c_0_2642,plain,
    ( c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(X1,X2),X1,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat),X2,tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    c_0_2005,
    [final] ).

cnf(c_0_2643,plain,
    ( c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__nat__finite__1__1(X1,X2),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat),X1,tc_nat,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    c_0_2006,
    [final] ).

cnf(c_0_2644,plain,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(c_FuncSet_Orestrict(X1,X2,X3,X4),X2,X3,X4) ),
    c_0_2007,
    [final] ).

cnf(c_0_2645,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X4,X5)
    | c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
    c_0_2008,
    [final] ).

cnf(c_0_2646,plain,
    ( c_List_Omap(X1,c_List_OremoveAll(X4,X5,X2),X2,X3) = c_List_OremoveAll(hAPP(X1,X4),c_List_Omap(X1,X5,X2,X3),X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    c_0_2009,
    [final] ).

cnf(c_0_2647,plain,
    ( c_Finite__Set_Osetsum(c_Fun_Oid(X4),c_Set_Oimage(X1,X2,X3,X4),X4,X4) = c_Finite__Set_Osetsum(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
    c_0_2010,
    [final] ).

cnf(c_0_2648,plain,
    ( c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2)) = c_Finite__Set_Ocard(X1,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(c_in(X3,X1,X2)) ),
    c_0_2011,
    [final] ).

cnf(c_0_2649,plain,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X2,X1,X3)) ),
    c_0_2012,
    [final] ).

cnf(c_0_2650,plain,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X2,X1,X3)) ),
    c_0_2013,
    [final] ).

cnf(c_0_2651,plain,
    ( hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5))
    | ~ hBOOL(c_in(hAPP(X1,X2),X3,X4)) ),
    c_0_2014,
    [final] ).

cnf(c_0_2652,plain,
    ( hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5))
    | ~ hBOOL(c_in(hAPP(X1,X2),X3,X4)) ),
    c_0_2015,
    [final] ).

cnf(c_0_2653,plain,
    ( hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5))
    | ~ hBOOL(c_in(hAPP(X1,X2),X3,X4)) ),
    c_0_2016,
    [final] ).

cnf(c_0_2654,plain,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    c_0_2017,
    [final] ).

cnf(c_0_2655,plain,
    ( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))
    | ~ hBOOL(c_in(X2,X3,X4)) ),
    c_0_2018,
    [final] ).

cnf(c_0_2656,plain,
    ( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))
    | ~ hBOOL(c_in(X2,X3,X4)) ),
    c_0_2019,
    [final] ).

cnf(c_0_2657,plain,
    ( hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    c_0_2020,
    [final] ).

cnf(c_0_2658,plain,
    ( hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    c_0_2021,
    [final] ).

cnf(c_0_2659,plain,
    ( c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2)) = c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    c_0_2022,
    [final] ).

cnf(c_0_2660,plain,
    ( hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X4)) = X4
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    c_0_2023,
    [final] ).

cnf(c_0_2661,plain,
    ( c_lessequals(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    c_0_2024,
    [final] ).

cnf(c_0_2662,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | c_List_Omap(X3,X1,X4,X5) != c_List_Omap(X3,X2,X4,X5) ),
    c_0_2025,
    [final] ).

cnf(c_0_2663,plain,
    ( X4 = X5
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_List_Omap(X1,X4,X2,X3) != c_List_Omap(X1,X5,X2,X3) ),
    c_0_2026,
    [final] ).

cnf(c_0_2664,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
    c_0_2027,
    [final] ).

cnf(c_0_2665,plain,
    ( hBOOL(c_in(hAPP(X1,X6),X5,X4))
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ hBOOL(c_in(X6,X2,X3)) ),
    c_0_2028,
    [final] ).

cnf(c_0_2666,plain,
    ( c_Set_Ovimage(X1,c_Set_Oimage(X1,X4,X2,X3),X2,X3) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    c_0_2029,
    [final] ).

cnf(c_0_2667,plain,
    ( hBOOL(c_in(X3,X1,X2))
    | c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2,X5) = c_Finite__Set_Osetsum(X4,X1,X2,X5)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ class_OrderedGroup_Oab__group__add(X5) ),
    c_0_2030,
    [final] ).

cnf(c_0_2668,plain,
    ( c_Finite__Set_Ofinite(X2,X3)
    | ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    c_0_2031,
    [final] ).

cnf(c_0_2669,plain,
    ( c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_2032,
    [final] ).

cnf(c_0_2670,plain,
    ( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
    c_0_2033,
    [final] ).

cnf(c_0_2671,plain,
    ( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_2034,
    [final] ).

cnf(c_0_2672,plain,
    ( v_thesis____
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)
    | c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) != c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat) ),
    c_0_2035,
    [final] ).

cnf(c_0_2673,plain,
    ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X4,X3,X2) = c_Set_Ovimage(X1,X4,X2,X3)
    | ~ c_Fun_Obij(X1,X2,X3) ),
    c_0_2036,
    [final] ).

cnf(c_0_2674,plain,
    ( c_Fun_Oinj__on(X3,X1,X2,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X1,c_Set_Oimage(X3,X1,X2,X2),tc_fun(X2,tc_bool)) ),
    c_0_2037,
    [final] ).

cnf(c_0_2675,plain,
    ( hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3))
    | ~ hBOOL(hAPP(X1,hAPP(X2,X3))) ),
    c_0_2038,
    [final] ).

cnf(c_0_2676,plain,
    ( c_Fun_Oinj__on(c_FuncSet_Orestrict(X1,X2,X3,X4),X2,X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    c_0_2039,
    [final] ).

cnf(c_0_2677,plain,
    ( c_Fun_Osurj(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X3,X2)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    c_0_2040,
    [final] ).

cnf(c_0_2678,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ hBOOL(c_in(X2,X1,X4)) ),
    c_0_2041,
    [final] ).

cnf(c_0_2679,plain,
    ( c_lessequals(c_Finite__Set_Ocard(c_Set_Oimage(X3,X1,X2,X4),X4),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    c_0_2042,
    [final] ).

cnf(c_0_2680,plain,
    ( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),hAPP(X2,X4)) = X4
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
    c_0_2043,
    [final] ).

cnf(c_0_2681,plain,
    ( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),hAPP(X1,X4)) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    c_0_2044,
    [final] ).

cnf(c_0_2682,plain,
    ( hAPP(c_Fun_Othe__inv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),hAPP(X1,X4)) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    c_0_2045,
    [final] ).

cnf(c_0_2683,plain,
    ( hAPP(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),hAPP(X1,X5)) = X5
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ hBOOL(c_in(X5,X2,X3)) ),
    c_0_2046,
    [final] ).

cnf(c_0_2684,plain,
    ( hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),hAPP(X2,X5)) = X5
    | ~ c_Fun_Oinj__on(X2,X1,X3,X4)
    | ~ hBOOL(c_in(X5,X1,X3)) ),
    c_0_2047,
    [final] ).

cnf(c_0_2685,plain,
    ( hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),hAPP(X1,X5)) = X5
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ hBOOL(c_in(X5,X2,X3)) ),
    c_0_2048,
    [final] ).

cnf(c_0_2686,plain,
    ( hAPP(c_Fun_Othe__inv__into(X2,X4,X3,X5),hAPP(X4,X1)) = X1
    | ~ hBOOL(c_in(X1,X2,X3))
    | ~ c_Fun_Oinj__on(X4,X2,X3,X5) ),
    c_0_2049,
    [final] ).

cnf(c_0_2687,plain,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) != c_Finite__Set_Ocard(X2,X3) ),
    c_0_2050,
    [final] ).

cnf(c_0_2688,plain,
    ( c_Set_Oimage(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X4),X2,X3) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),c_Set_Oimage(X1,X4,X2,X3))
    | ~ c_Fun_Obij(X1,X2,X3) ),
    c_0_2051,
    [final] ).

cnf(c_0_2689,plain,
    ( c_Finite__Set_Ofinite(c_Set_Ovimage(X3,X1,X4,X2),X4)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X2) ),
    c_0_2052,
    [final] ).

cnf(c_0_2690,plain,
    ( c_Set_Oinsert(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) = c_Set_Oimage(X4,X2,X3,X5)
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    c_0_2053,
    [final] ).

cnf(c_0_2691,plain,
    ( c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X3,X2) = X1
    | ~ c_Fun_Obij(X1,X2,X3) ),
    c_0_2054,
    [final] ).

cnf(c_0_2692,plain,
    ( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X2)
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    c_0_2055,
    [final] ).

cnf(c_0_2693,plain,
    ( c_Finite__Set_Ofinite(X3,X5)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X3,c_Set_Oimage(X4,X1,X2,X5),tc_fun(X5,tc_bool)) ),
    c_0_2056,
    [final] ).

cnf(c_0_2694,plain,
    ( c_Finite__Set_Ocard(c_Set_Oimage(X3,X1,X2,X4),X4) = c_Finite__Set_Ocard(X1,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Fun_Oinj__on(X3,X1,X2,X4) ),
    c_0_2057,
    [final] ).

cnf(c_0_2695,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_2058,
    [final] ).

cnf(c_0_2696,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4),X4)
    | ~ class_Lattices_Olattice(X4) ),
    c_0_2059,
    [final] ).

cnf(c_0_2697,plain,
    ( c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) = c_Finite__Set_Ocard(X2,X3)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    c_0_2060,
    [final] ).

cnf(c_0_2698,plain,
    ( c_Finite__Set_Ofinite(X2,X4)
    | ~ c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X2,X3,X4),X3)
    | ~ c_Fun_Osurj(X1,X3,X4) ),
    c_0_2061,
    [final] ).

cnf(c_0_2699,plain,
    ( c_Finite__Set_Ofinite(X4,X3)
    | ~ c_Fun_Obij(X1,X2,X3)
    | ~ c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X4,X2,X3),X2) ),
    c_0_2062,
    [final] ).

cnf(c_0_2700,plain,
    ( hBOOL(c_in(X1,X2,X4))
    | hBOOL(c_in(X1,X3,X4))
    | ~ hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)) ),
    c_0_2063,
    [final] ).

cnf(c_0_2701,plain,
    ( c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
    c_0_2064,
    [final] ).

cnf(c_0_2702,plain,
    ( c_Fun_Oinj__on(X1,X2,X4,X5)
    | ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
    c_0_2065,
    [final] ).

cnf(c_0_2703,plain,
    ( X1 = X2
    | ~ hBOOL(c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)) ),
    c_0_2066,
    [final] ).

cnf(c_0_2704,plain,
    ( X1 = X2
    | X1 = X3
    | c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    c_0_2067,
    [final] ).

cnf(c_0_2705,plain,
    ( X1 = X2
    | X3 = X2
    | c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    c_0_2068,
    [final] ).

cnf(c_0_2706,plain,
    ( X1 = X2
    | X3 = X2
    | c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    c_0_2069,
    [final] ).

cnf(c_0_2707,plain,
    ( X1 = X2
    | X1 = X3
    | c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    c_0_2070,
    [final] ).

cnf(c_0_2708,plain,
    ( ~ hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4))
    | ~ hBOOL(c_in(X1,X3,X4)) ),
    c_0_2071,
    [final] ).

cnf(c_0_2709,plain,
    ( c_Set_Oimage(X1,c_Set_Ovimage(X1,X4,X2,X3),X2,X3) = X4
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    c_0_2072,
    [final] ).

cnf(c_0_2710,plain,
    ( c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
    c_0_2073,
    [final] ).

cnf(c_0_2711,plain,
    ( c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X2
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    c_0_2074,
    [final] ).

cnf(c_0_2712,plain,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    c_0_2075,
    [final] ).

cnf(c_0_2713,plain,
    ( c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    c_0_2076,
    [final] ).

cnf(c_0_2714,plain,
    ( X5 = X6
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ hBOOL(c_in(X5,X2,X3))
    | ~ hBOOL(c_in(X6,X2,X3))
    | hAPP(X1,X5) != hAPP(X1,X6) ),
    c_0_2077,
    [final] ).

cnf(c_0_2715,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | ~ hBOOL(c_in(X1,X4,X5))
    | ~ hBOOL(c_in(X2,X4,X5))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    c_0_2078,
    [final] ).

cnf(c_0_2716,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | ~ hBOOL(c_in(X1,X4,X5))
    | ~ hBOOL(c_in(X2,X4,X5))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    c_0_2079,
    [final] ).

cnf(c_0_2717,plain,
    ( X1 = X4
    | ~ hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(c_in(X4,X2,X3))
    | ~ c_Fun_Oinj__on(X5,X2,X3,X6)
    | hAPP(X5,X1) != hAPP(X5,X4) ),
    c_0_2080,
    [final] ).

cnf(c_0_2718,plain,
    ( c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_nat),tc_nat,X3) = c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat,X3)
    | hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
    c_0_2081,
    [final] ).

cnf(c_0_2719,plain,
    ( hBOOL(c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3))
    | ~ hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(c_in(X1,X4,X3)) ),
    c_0_2082,
    [final] ).

cnf(c_0_2720,plain,
    ( hBOOL(c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3))
    | ~ hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(c_in(X1,X4,X3)) ),
    c_0_2083,
    [final] ).

cnf(c_0_2721,plain,
    ( hBOOL(c_in(X1,X2,X4))
    | ~ hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)) ),
    c_0_2084,
    [final] ).

cnf(c_0_2722,plain,
    ( hBOOL(c_in(X1,X3,X4))
    | ~ hBOOL(c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4)) ),
    c_0_2085,
    [final] ).

cnf(c_0_2723,plain,
    ( hBOOL(c_in(X1,X2,X4))
    | ~ hBOOL(c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4)) ),
    c_0_2086,
    [final] ).

cnf(c_0_2724,plain,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),X4)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),X4) ),
    c_0_2087,
    [final] ).

cnf(c_0_2725,plain,
    ( c_Fun_Oinj__on(X1,X5,X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
    c_0_2088,
    [final] ).

cnf(c_0_2726,plain,
    ( ~ hBOOL(c_in(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3),X2))
    | ~ hBOOL(c_in(X1,X3,X2)) ),
    c_0_2089,
    [final] ).

cnf(c_0_2727,plain,
    ( c_Fun_Obij(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X3,X2)
    | ~ c_Fun_Obij(X1,X2,X3) ),
    c_0_2090,
    [final] ).

cnf(c_0_2728,plain,
    ( hBOOL(c_in(X3,X1,X2))
    | c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2) = c_Finite__Set_Ocard(X1,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    c_0_2091,
    [final] ).

cnf(c_0_2729,plain,
    ( hBOOL(c_in(X1,X4,X3))
    | hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    c_0_2092,
    [final] ).

cnf(c_0_2730,plain,
    ( hBOOL(c_in(X1,X4,X3))
    | hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    c_0_2093,
    [final] ).

cnf(c_0_2731,plain,
    ( hAPP(c_FuncSet_Orestrict(X4,X2,X3,X5),X1) = hAPP(X4,X1)
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    c_0_2094,
    [final] ).

cnf(c_0_2732,plain,
    ( hBOOL(hAPP(X1,X3))
    | ~ hBOOL(hAPP(X1,c_List_Osko__List__Xall__nat__less__eq__1__1(X1,X2)))
    | ~ hBOOL(c_in(X3,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat)) ),
    c_0_2095,
    [final] ).

cnf(c_0_2733,plain,
    ( hBOOL(hAPP(X3,c_List_Osko__List__Xex__nat__less__eq__1__2(X3,X2)))
    | ~ hBOOL(c_in(X1,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat))
    | ~ hBOOL(hAPP(X3,X1)) ),
    c_0_2096,
    [final] ).

cnf(c_0_2734,plain,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)),X3)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3) ),
    c_0_2097,
    [final] ).

cnf(c_0_2735,plain,
    ( c_HOL_Oord__class_Oless(c_List_Osko__List__Xex__nat__less__eq__1__2(X3,X2),X2,tc_nat)
    | ~ hBOOL(c_in(X1,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat))
    | ~ hBOOL(hAPP(X3,X1)) ),
    c_0_2098,
    [final] ).

cnf(c_0_2736,plain,
    ( c_Fun_Osurj(X2,X1,X1)
    | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X1) ),
    c_0_2099,
    [final] ).

cnf(c_0_2737,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X5,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    c_0_2100,
    [final] ).

cnf(c_0_2738,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    c_0_2101,
    [final] ).

cnf(c_0_2739,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    c_0_2102,
    [final] ).

cnf(c_0_2740,plain,
    ( c_HOL_Oord__class_Oless(c_List_Osko__List__Xall__nat__less__eq__1__1(X1,X2),X2,tc_nat)
    | hBOOL(hAPP(X1,X3))
    | ~ hBOOL(c_in(X3,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat)) ),
    c_0_2103,
    [final] ).

cnf(c_0_2741,plain,
    ( X1 = X2
    | hBOOL(c_in(X1,X3,X4))
    | ~ hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)) ),
    c_0_2104,
    [final] ).

cnf(c_0_2742,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Power_Opower__class_Opower(X1,c_Suc(X2),X3),c_Power_Opower__class_Opower(X4,c_Suc(X2),X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    c_0_2105,
    [final] ).

cnf(c_0_2743,plain,
    ( c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X4,X2,X3),X2)
    | ~ c_Fun_Obij(X1,X2,X3)
    | ~ c_Finite__Set_Ofinite(X4,X3) ),
    c_0_2106,
    [final] ).

cnf(c_0_2744,plain,
    ( c_Fun_Obij(X1,X2,X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    c_0_2107,
    [final] ).

cnf(c_0_2745,plain,
    ( c_Fun_Obij(X1,X2,X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    c_0_2108,
    [final] ).

cnf(c_0_2746,plain,
    ( c_lessequals(X3,X2,tc_fun(X1,tc_bool))
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3),tc_fun(X1,tc_bool)) ),
    c_0_2109,
    [final] ).

cnf(c_0_2747,plain,
    ( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
    c_0_2110,
    [final] ).

cnf(c_0_2748,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) ),
    c_0_2111,
    [final] ).

cnf(c_0_2749,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    c_0_2112,
    [final] ).

cnf(c_0_2750,plain,
    ( hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    c_0_2113,
    [final] ).

cnf(c_0_2751,plain,
    ( hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    c_0_2114,
    [final] ).

cnf(c_0_2752,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    c_0_2115,
    [final] ).

cnf(c_0_2753,plain,
    ( hBOOL(hAPP(X1,X4))
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
    c_0_2116,
    [final] ).

cnf(c_0_2754,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_2117,
    [final] ).

cnf(c_0_2755,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    c_0_2118,
    [final] ).

cnf(c_0_2756,plain,
    ( c_lessequals(X2,X1,X3)
    | c_lessequals(X4,X1,X3)
    | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X3),tc_fun(X3,tc_bool))
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_2119,
    [final] ).

cnf(c_0_2757,plain,
    ( c_lessequals(X2,X1,X3)
    | c_lessequals(X2,X5,X3)
    | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X3),tc_fun(X3,tc_bool))
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_2120,
    [final] ).

cnf(c_0_2758,plain,
    ( c_Finite__Set_Ocard(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2))
    | hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)) ),
    c_0_2121,
    [final] ).

cnf(c_0_2759,plain,
    ( c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    c_0_2122,
    [final] ).

cnf(c_0_2760,plain,
    ( c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    c_0_2123,
    [final] ).

cnf(c_0_2761,plain,
    ( hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
    c_0_2124,
    [final] ).

cnf(c_0_2762,plain,
    ( hBOOL(hAPP(X1,X4))
    | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
    c_0_2125,
    [final] ).

cnf(c_0_2763,plain,
    ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X4,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    c_0_2126,
    [final] ).

cnf(c_0_2764,plain,
    ( hAPP(X1,c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__2(X1,X2,X3)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__1(X1,X2,X3))
    | c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    c_0_2127,
    [final] ).

cnf(c_0_2765,plain,
    ( hAPP(X1,c_ATP__Linkup_Osko__Fun__XinjI__1__2(X1,X2,X3)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__XinjI__1__1(X1,X2,X3))
    | c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    c_0_2128,
    [final] ).

cnf(c_0_2766,plain,
    ( c_Finite__Set_Ofinite(c_Set_Oimage(X3,X1,X2,X4),X4)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    c_0_2129,
    [final] ).

cnf(c_0_2767,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_2130,
    [final] ).

cnf(c_0_2768,plain,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    c_0_2131,
    [final] ).

cnf(c_0_2769,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X4,X1,X3))
    | ~ hBOOL(c_in(X4,X2,X3)) ),
    c_0_2132,
    [final] ).

cnf(c_0_2770,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X2 ),
    c_0_2133,
    [final] ).

cnf(c_0_2771,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool)),X3) = c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) ),
    c_0_2134,
    [final] ).

cnf(c_0_2772,plain,
    ( hBOOL(c_in(X1,c_Set_Oinsert(X4,X2,X3),X3))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    c_0_2135,
    [final] ).

cnf(c_0_2773,plain,
    ( hBOOL(c_in(X1,c_Set_Oinsert(X4,X2,X3),X3))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    c_0_2136,
    [final] ).

cnf(c_0_2774,plain,
    ( c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X1)
    | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
    | ~ c_Fun_Osurj(X2,X1,X1) ),
    c_0_2137,
    [final] ).

cnf(c_0_2775,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | hBOOL(c_in(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X2),X3)) ),
    c_0_2138,
    [final] ).

cnf(c_0_2776,plain,
    ( c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X1,X2,X3))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    c_0_2139,
    [final] ).

cnf(c_0_2777,plain,
    ( hBOOL(c_in(X2,X1,X4))
    | c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
    c_0_2140,
    [final] ).

cnf(c_0_2778,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
    c_0_2141,
    [final] ).

cnf(c_0_2779,plain,
    ( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    c_0_2142,
    [final] ).

cnf(c_0_2780,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    c_0_2143,
    [final] ).

cnf(c_0_2781,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    c_0_2144,
    [final] ).

cnf(c_0_2782,plain,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    c_0_2145,
    [final] ).

cnf(c_0_2783,plain,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    c_0_2146,
    [final] ).

cnf(c_0_2784,plain,
    ( c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_ATP__Linkup_Osko__Fun__XinjI__1__2(X1,X2,X3) != c_ATP__Linkup_Osko__Fun__XinjI__1__1(X1,X2,X3) ),
    c_0_2147,
    [final] ).

cnf(c_0_2785,plain,
    ( c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__2(X1,X2,X3) != c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__1(X1,X2,X3) ),
    c_0_2148,
    [final] ).

cnf(c_0_2786,plain,
    ( X2 = X3
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X4,tc_nat)
    | c_Power_Opower__class_Opower(X2,X4,X1) != c_Power_Opower__class_Opower(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_2149,
    [final] ).

cnf(c_0_2787,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Set_Oimage(X3,X1,X2,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    c_0_2150,
    [final] ).

cnf(c_0_2788,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Set_Oimage(X4,X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    c_0_2151,
    [final] ).

cnf(c_0_2789,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X1),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_2152,
    [final] ).

cnf(c_0_2790,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X1),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_2153,
    [final] ).

cnf(c_0_2791,plain,
    ( c_lessequals(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    c_0_2154,
    [final] ).

cnf(c_0_2792,plain,
    ( c_Finite__Set_Osetsum(X3,c_SetInterval_Oord__class_OatLeastLessThan(X2,c_Suc(X1),tc_nat),tc_nat,X4) = c_HOL_Ozero__class_Ozero(X4)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
    c_0_2155,
    [final] ).

cnf(c_0_2793,plain,
    ( c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) ),
    c_0_2156,
    [final] ).

cnf(c_0_2794,plain,
    ( c_lessequals(X1,X2,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) ),
    c_0_2157,
    [final] ).

cnf(c_0_2795,plain,
    ( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    c_0_2158,
    [final] ).

cnf(c_0_2796,plain,
    ( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    c_0_2159,
    [final] ).

cnf(c_0_2797,plain,
    ( c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(X1,X4,X3),c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_2160,
    [final] ).

cnf(c_0_2798,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Odistrib__lattice(X3) ),
    c_0_2161,
    [final] ).

cnf(c_0_2799,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X4),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)
    | ~ class_Lattices_Odistrib__lattice(X4) ),
    c_0_2162,
    [final] ).

cnf(c_0_2800,plain,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    c_0_2163,
    [final] ).

cnf(c_0_2801,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Odistrib__lattice(X3) ),
    c_0_2164,
    [final] ).

cnf(c_0_2802,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Odistrib__lattice(X4) ),
    c_0_2165,
    [final] ).

cnf(c_0_2803,plain,
    ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X3,X2)) ),
    c_0_2166,
    [final] ).

cnf(c_0_2804,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3),tc_fun(X2,tc_bool)) ),
    c_0_2167,
    [final] ).

cnf(c_0_2805,plain,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_SetInterval_Oord__class_OlessThan(X1,X2),tc_fun(X2,tc_bool)) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
    | ~ class_Orderings_Oorder(X2) ),
    c_0_2168,
    [final] ).

cnf(c_0_2806,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    c_0_2169,
    [final] ).

cnf(c_0_2807,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    c_0_2170,
    [final] ).

cnf(c_0_2808,plain,
    ( X1 = X4
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
    c_0_2171,
    [final] ).

cnf(c_0_2809,plain,
    ( c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_2172,
    [final] ).

cnf(c_0_2810,plain,
    ( c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    c_0_2173,
    [final] ).

cnf(c_0_2811,plain,
    ( hBOOL(c_in(X4,X2,X3))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X4,X1,X3)) ),
    c_0_2174,
    [final] ).

cnf(c_0_2812,plain,
    ( hBOOL(c_in(X4,X2,X3))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X4,X1,X3)) ),
    c_0_2175,
    [final] ).

cnf(c_0_2813,plain,
    ( hBOOL(c_in(X1,X4,X3))
    | ~ hBOOL(c_in(X1,X2,X3))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    c_0_2176,
    [final] ).

cnf(c_0_2814,plain,
    ( hBOOL(c_in(X4,X2,X3))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X4,X1,X3)) ),
    c_0_2177,
    [final] ).

cnf(c_0_2815,plain,
    ( hBOOL(c_in(X1,X4,X3))
    | ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
    c_0_2178,
    [final] ).

cnf(c_0_2816,plain,
    ( X1 = X2
    | hBOOL(c_in(X3,X1,X4))
    | hBOOL(c_in(X3,X2,X4))
    | c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4) ),
    c_0_2179,
    [final] ).

cnf(c_0_2817,plain,
    ( X2 = X3
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_Power_Opower__class_Opower(X2,c_Suc(X4),X1) != c_Power_Opower__class_Opower(X3,c_Suc(X4),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_2180,
    [final] ).

cnf(c_0_2818,plain,
    ( c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_Fun_Obij(X1,X2,X3) ),
    c_0_2181,
    [final] ).

cnf(c_0_2819,plain,
    ( ~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2))
    | ~ hBOOL(hAPP(X3,X1)) ),
    c_0_2182,
    [final] ).

cnf(c_0_2820,plain,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_2183,
    [final] ).

cnf(c_0_2821,plain,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_2184,
    [final] ).

cnf(c_0_2822,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | c_Lattices_Olower__semilattice__class_Oinf(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)) ),
    c_0_2185,
    [final] ).

cnf(c_0_2823,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)) ),
    c_0_2186,
    [final] ).

cnf(c_0_2824,plain,
    ( c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3),tc_fun(X2,tc_bool))
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    c_0_2187,
    [final] ).

cnf(c_0_2825,plain,
    ( hBOOL(hAPP(X3,X1))
    | ~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)) ),
    c_0_2188,
    [final] ).

cnf(c_0_2826,plain,
    ( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
    c_0_2189,
    [final] ).

cnf(c_0_2827,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),tc_fun(X2,tc_bool)) ),
    c_0_2190,
    [final] ).

cnf(c_0_2828,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_2191,
    [final] ).

cnf(c_0_2829,plain,
    ( c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    c_0_2192,
    [final] ).

cnf(c_0_2830,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_2193,
    [final] ).

cnf(c_0_2831,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_2194,
    [final] ).

cnf(c_0_2832,plain,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_2195,
    [final] ).

cnf(c_0_2833,plain,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_2196,
    [final] ).

cnf(c_0_2834,plain,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_2197,
    [final] ).

cnf(c_0_2835,plain,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_2198,
    [final] ).

cnf(c_0_2836,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    c_0_2199,
    [final] ).

cnf(c_0_2837,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    c_0_2200,
    [final] ).

cnf(c_0_2838,plain,
    ( X1 = X2
    | c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    c_0_2201,
    [final] ).

cnf(c_0_2839,plain,
    ( c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2) = c_Finite__Set_Ocard(X1,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(c_in(X3,X1,X2)) ),
    c_0_2202,
    [final] ).

cnf(c_0_2840,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_2203,
    [final] ).

cnf(c_0_2841,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
    | ~ class_Lattices_Oupper__semilattice(X4) ),
    c_0_2204,
    [final] ).

cnf(c_0_2842,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
    | ~ class_Lattices_Olattice(X4) ),
    c_0_2205,
    [final] ).

cnf(c_0_2843,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_2206,
    [final] ).

cnf(c_0_2844,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_2207,
    [final] ).

cnf(c_0_2845,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
    | ~ class_Lattices_Olattice(X4) ),
    c_0_2208,
    [final] ).

cnf(c_0_2846,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    c_0_2209,
    [final] ).

cnf(c_0_2847,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_2210,
    [final] ).

cnf(c_0_2848,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_2211,
    [final] ).

cnf(c_0_2849,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_2212,
    [final] ).

cnf(c_0_2850,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2213,
    [final] ).

cnf(c_0_2851,plain,
    ( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    c_0_2214,
    [final] ).

cnf(c_0_2852,plain,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_2215,
    [final] ).

cnf(c_0_2853,plain,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_2216,
    [final] ).

cnf(c_0_2854,plain,
    ( c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_2217,
    [final] ).

cnf(c_0_2855,plain,
    ( c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_2218,
    [final] ).

cnf(c_0_2856,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ hBOOL(c_in(X1,c_SetInterval_Oord__class_OlessThan(X2,X3),X3))
    | ~ class_HOL_Oord(X3) ),
    c_0_2219,
    [final] ).

cnf(c_0_2857,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OlessThan(X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_2220,
    [final] ).

cnf(c_0_2858,plain,
    ( c_lessequals(X1,X2,X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    c_0_2221,
    [final] ).

cnf(c_0_2859,plain,
    ( c_lessequals(X1,X3,X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    c_0_2222,
    [final] ).

cnf(c_0_2860,plain,
    ( c_lessequals(X1,X2,X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    c_0_2223,
    [final] ).

cnf(c_0_2861,plain,
    ( c_lessequals(X1,X3,X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    c_0_2224,
    [final] ).

cnf(c_0_2862,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_2225,
    [final] ).

cnf(c_0_2863,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_2226,
    [final] ).

cnf(c_0_2864,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_2227,
    [final] ).

cnf(c_0_2865,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_2228,
    [final] ).

cnf(c_0_2866,plain,
    ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),X2) ),
    c_0_2229,
    [final] ).

cnf(c_0_2867,plain,
    ( X3 = X1
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
    | ~ c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(X3,X2),tc_nat) ),
    c_0_2230,
    [final] ).

cnf(c_0_2868,plain,
    ( c_Finite__Set_Osetsum(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
    c_0_2231,
    [final] ).

cnf(c_0_2869,plain,
    ( c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_2232,
    [final] ).

cnf(c_0_2870,plain,
    ( c_Finite__Set_Ofinite(X3,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2) ),
    c_0_2233,
    [final] ).

cnf(c_0_2871,plain,
    ( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_2234,
    [final] ).

cnf(c_0_2872,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1),tc_nat)
    | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) ),
    c_0_2235,
    [final] ).

cnf(c_0_2873,plain,
    ( hBOOL(c_in(X3,X1,X2))
    | c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(X1,X2))
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    c_0_2236,
    [final] ).

cnf(c_0_2874,plain,
    ( c_Finite__Set_Ocard(X1,X2) = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(X1,X2))
    | hBOOL(c_in(X3,X1,X2)) ),
    c_0_2237,
    [final] ).

cnf(c_0_2875,plain,
    ( c_Finite__Set_Ofinite(X1,X3)
    | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3) ),
    c_0_2238,
    [final] ).

cnf(c_0_2876,plain,
    ( c_Finite__Set_Ofinite(X2,X3)
    | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3) ),
    c_0_2239,
    [final] ).

cnf(c_0_2877,plain,
    ( c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Osetsum(X3,X1,X2,X4) = c_HOL_Ozero__class_Ozero(X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
    c_0_2240,
    [final] ).

cnf(c_0_2878,plain,
    ( c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Osetsum(X3,X1,X2,X4) = c_HOL_Ozero__class_Ozero(X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
    c_0_2241,
    [final] ).

cnf(c_0_2879,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,v_x),hAPP(X2,v_x),X3) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(t_a,X3)),v_x)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_2242,
    [final] ).

cnf(c_0_2880,plain,
    ( c_HOL_Ominus__class_Ominus(hAPP(X1,v_x),hAPP(X2,v_x),X3) = hAPP(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(t_a,X3)),v_x)
    | ~ class_HOL_Ominus(X3) ),
    c_0_2243,
    [final] ).

cnf(c_0_2881,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(hAPP(X1,v_x),hAPP(X2,v_x),X3) = hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(t_a,X3)),v_x)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_2244,
    [final] ).

cnf(c_0_2882,plain,
    ( c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) ),
    c_0_2245,
    [final] ).

cnf(c_0_2883,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_2246,
    [final] ).

cnf(c_0_2884,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_2247,
    [final] ).

cnf(c_0_2885,plain,
    ( c_lessequals(X3,X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_2248,
    [final] ).

cnf(c_0_2886,plain,
    ( c_HOL_Oord__class_Oless(X3,X2,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_2249,
    [final] ).

cnf(c_0_2887,plain,
    ( c_lessequals(X1,X3,X2)
    | ~ c_lessequals(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OlessThan(X3,X2),tc_fun(X2,tc_bool))
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_2250,
    [final] ).

cnf(c_0_2888,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1))
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    c_0_2251,
    [final] ).

cnf(c_0_2889,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_2252,
    [final] ).

cnf(c_0_2890,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1))
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    c_0_2253,
    [final] ).

cnf(c_0_2891,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_2254,
    [final] ).

cnf(c_0_2892,plain,
    ( c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(X2,X3),X3)
    | ~ hBOOL(c_in(X1,X2,X3))
    | ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
    c_0_2255,
    [final] ).

cnf(c_0_2893,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_2256,
    [final] ).

cnf(c_0_2894,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_2257,
    [final] ).

cnf(c_0_2895,plain,
    ( X1 = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
    | c_Finite__Set_Ocard(X1,X2) != c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) ),
    c_0_2258,
    [final] ).

cnf(c_0_2896,plain,
    ( hBOOL(c_in(X1,c_SetInterval_Oord__class_OlessThan(X2,X3),X3))
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_HOL_Oord(X3) ),
    c_0_2259,
    [final] ).

cnf(c_0_2897,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_2260,
    [final] ).

cnf(c_0_2898,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_2261,
    [final] ).

cnf(c_0_2899,plain,
    ( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_2262,
    [final] ).

cnf(c_0_2900,plain,
    ( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_2263,
    [final] ).

cnf(c_0_2901,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_2264,
    [final] ).

cnf(c_0_2902,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_2265,
    [final] ).

cnf(c_0_2903,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_2266,
    [final] ).

cnf(c_0_2904,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_2267,
    [final] ).

cnf(c_0_2905,plain,
    ( c_lessequals(c_Finite__Set_Ocard(X3,X2),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
    c_0_2268,
    [final] ).

cnf(c_0_2906,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    c_0_2269,
    [final] ).

cnf(c_0_2907,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    c_0_2270,
    [final] ).

cnf(c_0_2908,plain,
    ( c_lessequals(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_2271,
    [final] ).

cnf(c_0_2909,plain,
    ( c_lessequals(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_2272,
    [final] ).

cnf(c_0_2910,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_2273,
    [final] ).

cnf(c_0_2911,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_2274,
    [final] ).

cnf(c_0_2912,plain,
    ( c_HOL_Oord__class_Oless(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_2275,
    [final] ).

cnf(c_0_2913,plain,
    ( c_HOL_Oord__class_Oless(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_2276,
    [final] ).

cnf(c_0_2914,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_2277,
    [final] ).

cnf(c_0_2915,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_2278,
    [final] ).

cnf(c_0_2916,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OatLeastLessThan(X1,X3,X2),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ class_Orderings_Oorder(X2) ),
    c_0_2279,
    [final] ).

cnf(c_0_2917,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)) = X1
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    c_0_2280,
    [final] ).

cnf(c_0_2918,plain,
    ( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    c_0_2281,
    [final] ).

cnf(c_0_2919,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    c_0_2282,
    [final] ).

cnf(c_0_2920,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_2283,
    [final] ).

cnf(c_0_2921,plain,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2284,
    [final] ).

cnf(c_0_2922,plain,
    ( c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2285,
    [final] ).

cnf(c_0_2923,plain,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2286,
    [final] ).

cnf(c_0_2924,plain,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2287,
    [final] ).

cnf(c_0_2925,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_2288,
    [final] ).

cnf(c_0_2926,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_2289,
    [final] ).

cnf(c_0_2927,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_2290,
    [final] ).

cnf(c_0_2928,plain,
    ( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = X1
    | ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
    c_0_2291,
    [final] ).

cnf(c_0_2929,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    c_0_2292,
    [final] ).

cnf(c_0_2930,plain,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    c_0_2293,
    [final] ).

cnf(c_0_2931,plain,
    ( c_lessequals(X1,X3,tc_nat)
    | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    c_0_2294,
    [final] ).

cnf(c_0_2932,plain,
    ( c_HOL_Oord__class_Oless(X1,X3,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    c_0_2295,
    [final] ).

cnf(c_0_2933,plain,
    ( c_HOL_Oord__class_Oless(c_Suc(X1),X3,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
    c_0_2296,
    [final] ).

cnf(c_0_2934,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_2297,
    [final] ).

cnf(c_0_2935,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_2298,
    [final] ).

cnf(c_0_2936,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_2299,
    [final] ).

cnf(c_0_2937,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_2300,
    [final] ).

cnf(c_0_2938,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_2301,
    [final] ).

cnf(c_0_2939,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_2302,
    [final] ).

cnf(c_0_2940,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_2303,
    [final] ).

cnf(c_0_2941,plain,
    ( c_lessequals(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OlessThan(X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_2304,
    [final] ).

cnf(c_0_2942,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_2305,
    [final] ).

cnf(c_0_2943,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_2306,
    [final] ).

cnf(c_0_2944,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_2307,
    [final] ).

cnf(c_0_2945,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_2308,
    [final] ).

cnf(c_0_2946,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2309,
    [final] ).

cnf(c_0_2947,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2310,
    [final] ).

cnf(c_0_2948,plain,
    ( c_lessequals(X1,X3,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    c_0_2311,
    [final] ).

cnf(c_0_2949,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    c_0_2312,
    [final] ).

cnf(c_0_2950,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    c_0_2313,
    [final] ).

cnf(c_0_2951,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_2314,
    [final] ).

cnf(c_0_2952,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_2315,
    [final] ).

cnf(c_0_2953,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_2316,
    [final] ).

cnf(c_0_2954,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2) = X3
    | c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) != c_Orderings_Obot__class_Obot(X1)
    | c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    c_0_2317,
    [final] ).

cnf(c_0_2955,plain,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    c_0_2318,
    [final] ).

cnf(c_0_2956,plain,
    ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    c_0_2319,
    [final] ).

cnf(c_0_2957,plain,
    ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    c_0_2320,
    [final] ).

cnf(c_0_2958,plain,
    ( X1 = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X2) ),
    c_0_2321,
    [final] ).

cnf(c_0_2959,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Complete__Lattice_OSup__class_OSup(X2,X3),X3) = c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,X2,X3),X3)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
    c_0_2322,
    [final] ).

cnf(c_0_2960,plain,
    ( hBOOL(hAPP(X2,X1))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    c_0_2323,
    [final] ).

cnf(c_0_2961,plain,
    ( c_Finite__Set_Ofinite(X2,X3)
    | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X1,X2,X3),X3) ),
    c_0_2324,
    [final] ).

cnf(c_0_2962,plain,
    ( c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_2325,
    [final] ).

cnf(c_0_2963,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_2326,
    [final] ).

cnf(c_0_2964,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_2327,
    [final] ).

cnf(c_0_2965,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_2328,
    [final] ).

cnf(c_0_2966,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_2329,
    [final] ).

cnf(c_0_2967,plain,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
    c_0_2330,
    [final] ).

cnf(c_0_2968,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = X1
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_2331,
    [final] ).

cnf(c_0_2969,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)) = X1
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_2332,
    [final] ).

cnf(c_0_2970,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_2333,
    [final] ).

cnf(c_0_2971,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_2334,
    [final] ).

cnf(c_0_2972,plain,
    ( hBOOL(hAPP(X2,X4))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(X1,X4)) ),
    c_0_2335,
    [final] ).

cnf(c_0_2973,plain,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    c_0_2336,
    [final] ).

cnf(c_0_2974,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_2337,
    [final] ).

cnf(c_0_2975,plain,
    ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3)
    | ~ c_lessequals(X1,X2,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    c_0_2338,
    [final] ).

cnf(c_0_2976,plain,
    ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    c_0_2339,
    [final] ).

cnf(c_0_2977,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    c_0_2340,
    [final] ).

cnf(c_0_2978,plain,
    ( c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    c_0_2341,
    [final] ).

cnf(c_0_2979,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_2342,
    [final] ).

cnf(c_0_2980,plain,
    ( c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_2343,
    [final] ).

cnf(c_0_2981,plain,
    ( c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_2344,
    [final] ).

cnf(c_0_2982,plain,
    ( hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(t_a,X1)),X2),v_x) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(X2,v_x))
    | ~ class_HOL_Ouminus(X1) ),
    c_0_2345,
    [final] ).

cnf(c_0_2983,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    c_0_2346,
    [final] ).

cnf(c_0_2984,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    c_0_2347,
    [final] ).

cnf(c_0_2985,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    c_0_2348,
    [final] ).

cnf(c_0_2986,plain,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    c_0_2349,
    [final] ).

cnf(c_0_2987,plain,
    ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    c_0_2350,
    [final] ).

cnf(c_0_2988,plain,
    ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    c_0_2351,
    [final] ).

cnf(c_0_2989,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)) = c_HOL_Ominus__class_Ominus(X3,X2,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_2352,
    [final] ).

cnf(c_0_2990,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    c_0_2353,
    [final] ).

cnf(c_0_2991,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2354,
    [final] ).

cnf(c_0_2992,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2355,
    [final] ).

cnf(c_0_2993,plain,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2356,
    [final] ).

cnf(c_0_2994,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_2357,
    [final] ).

cnf(c_0_2995,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    c_0_2358,
    [final] ).

cnf(c_0_2996,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_2359,
    [final] ).

cnf(c_0_2997,plain,
    ( ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_2360,
    [final] ).

cnf(c_0_2998,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_2361,
    [final] ).

cnf(c_0_2999,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_2362,
    [final] ).

cnf(c_0_3000,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2363,
    [final] ).

cnf(c_0_3001,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_2364,
    [final] ).

cnf(c_0_3002,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_2365,
    [final] ).

cnf(c_0_3003,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_2366,
    [final] ).

cnf(c_0_3004,plain,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat) ),
    c_0_2367,
    [final] ).

cnf(c_0_3005,plain,
    ( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    c_0_2368,
    [final] ).

cnf(c_0_3006,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    c_0_2369,
    [final] ).

cnf(c_0_3007,plain,
    ( c_SetInterval_Oord__class_OatLeastLessThan(X2,X1,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2370,
    [final] ).

cnf(c_0_3008,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    c_0_2371,
    [final] ).

cnf(c_0_3009,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = X1
    | ~ class_Lattices_Olattice(X3) ),
    c_0_2372,
    [final] ).

cnf(c_0_3010,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = X1
    | ~ class_Lattices_Olattice(X3) ),
    c_0_2373,
    [final] ).

cnf(c_0_3011,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) = X1
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_2374,
    [final] ).

cnf(c_0_3012,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_2375,
    [final] ).

cnf(c_0_3013,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_2376,
    [final] ).

cnf(c_0_3014,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_2377,
    [final] ).

cnf(c_0_3015,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_2378,
    [final] ).

cnf(c_0_3016,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_2379,
    [final] ).

cnf(c_0_3017,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_2380,
    [final] ).

cnf(c_0_3018,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_2381,
    [final] ).

cnf(c_0_3019,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_2382,
    [final] ).

cnf(c_0_3020,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_2383,
    [final] ).

cnf(c_0_3021,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_2384,
    [final] ).

cnf(c_0_3022,plain,
    ( c_Finite__Set_Ofinite(X1,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    c_0_2385,
    [final] ).

cnf(c_0_3023,plain,
    ( c_Finite__Set_Ofinite(X3,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
    c_0_2386,
    [final] ).

cnf(c_0_3024,plain,
    ( hBOOL(c_in(X2,X1,X3))
    | ~ hBOOL(hAPP(X1,X2)) ),
    c_0_2387,
    [final] ).

cnf(c_0_3025,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat) ),
    c_0_2388,
    [final] ).

cnf(c_0_3026,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat) ),
    c_0_2389,
    [final] ).

cnf(c_0_3027,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    c_0_2390,
    [final] ).

cnf(c_0_3028,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | X1 = c_Suc(X2)
    | ~ c_lessequals(X1,c_Suc(X2),tc_nat) ),
    c_0_2391,
    [final] ).

cnf(c_0_3029,plain,
    ( X2 = X1
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2392,
    [final] ).

cnf(c_0_3030,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2393,
    [final] ).

cnf(c_0_3031,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2394,
    [final] ).

cnf(c_0_3032,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2395,
    [final] ).

cnf(c_0_3033,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2396,
    [final] ).

cnf(c_0_3034,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2397,
    [final] ).

cnf(c_0_3035,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_2398,
    [final] ).

cnf(c_0_3036,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_2399,
    [final] ).

cnf(c_0_3037,plain,
    ( c_lessequals(X1,X2,X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) != X1
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_2400,
    [final] ).

cnf(c_0_3038,plain,
    ( c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_2401,
    [final] ).

cnf(c_0_3039,plain,
    ( c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    c_0_2402,
    [final] ).

cnf(c_0_3040,plain,
    ( c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    c_0_2403,
    [final] ).

cnf(c_0_3041,plain,
    ( c_lessequals(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    c_0_2404,
    [final] ).

cnf(c_0_3042,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_2405,
    [final] ).

cnf(c_0_3043,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_2406,
    [final] ).

cnf(c_0_3044,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
    c_0_2407,
    [final] ).

cnf(c_0_3045,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X2 = X1
    | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
    c_0_2408,
    [final] ).

cnf(c_0_3046,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
    c_0_2409,
    [final] ).

cnf(c_0_3047,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_2410,
    [final] ).

cnf(c_0_3048,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_2411,
    [final] ).

cnf(c_0_3049,plain,
    ( c_Suc(X1) = X2
    | c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    c_0_2412,
    [final] ).

cnf(c_0_3050,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2413,
    [final] ).

cnf(c_0_3051,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_2414,
    [final] ).

cnf(c_0_3052,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
    c_0_2415,
    [final] ).

cnf(c_0_3053,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
    c_0_2416,
    [final] ).

cnf(c_0_3054,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
    c_0_2417,
    [final] ).

cnf(c_0_3055,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
    c_0_2418,
    [final] ).

cnf(c_0_3056,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat) ),
    c_0_2419,
    [final] ).

cnf(c_0_3057,plain,
    ( c_Finite__Set_Ofinite(c_Set_Oinsert(X3,X1,X2),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    c_0_2420,
    [final] ).

cnf(c_0_3058,plain,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat) ),
    c_0_2421,
    [final] ).

cnf(c_0_3059,plain,
    ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    c_0_2422,
    [final] ).

cnf(c_0_3060,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2423,
    [final] ).

cnf(c_0_3061,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ class_Orderings_Oorder(X3) ),
    c_0_2424,
    [final] ).

cnf(c_0_3062,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    c_0_2425,
    [final] ).

cnf(c_0_3063,plain,
    ( c_lessequals(c_Suc(X1),X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    c_0_2426,
    [final] ).

cnf(c_0_3064,plain,
    ( c_lessequals(c_Suc(X1),X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    c_0_2427,
    [final] ).

cnf(c_0_3065,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)
    | ~ c_lessequals(X1,X1,tc_nat) ),
    c_0_2428,
    [final] ).

cnf(c_0_3066,plain,
    ( c_lessequals(X1,c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    c_0_2429,
    [final] ).

cnf(c_0_3067,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    c_0_2430,
    [final] ).

cnf(c_0_3068,plain,
    ( c_Fun_Osurj(X1,X2,X3)
    | ~ c_Fun_Obij(X1,X2,X3) ),
    c_0_2431,
    [final] ).

cnf(c_0_3069,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    c_0_2432,
    [final] ).

cnf(c_0_3070,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_nat) ),
    c_0_2433,
    [final] ).

cnf(c_0_3071,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    c_0_2434,
    [final] ).

cnf(c_0_3072,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    c_0_2435,
    [final] ).

cnf(c_0_3073,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    c_0_2436,
    [final] ).

cnf(c_0_3074,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | c_SetInterval_Oord__class_OatLeastLessThan(X1,c_Suc(X2),tc_nat) = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)) ),
    c_0_2437,
    [final] ).

cnf(c_0_3075,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    c_0_2438,
    [final] ).

cnf(c_0_3076,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    c_0_2439,
    [final] ).

cnf(c_0_3077,plain,
    ( c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    c_0_2440,
    [final] ).

cnf(c_0_3078,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_2441,
    [final] ).

cnf(c_0_3079,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_2442,
    [final] ).

cnf(c_0_3080,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_2443,
    [final] ).

cnf(c_0_3081,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_2444,
    [final] ).

cnf(c_0_3082,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X2 = X1
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_2445,
    [final] ).

cnf(c_0_3083,plain,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_2446,
    [final] ).

cnf(c_0_3084,plain,
    ( c_lessequals(X1,X1,X2)
    | c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_2447,
    [final] ).

cnf(c_0_3085,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_2448,
    [final] ).

cnf(c_0_3086,plain,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_2449,
    [final] ).

cnf(c_0_3087,plain,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_2450,
    [final] ).

cnf(c_0_3088,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_2451,
    [final] ).

cnf(c_0_3089,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_2452,
    [final] ).

cnf(c_0_3090,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_2453,
    [final] ).

cnf(c_0_3091,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_2454,
    [final] ).

cnf(c_0_3092,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | c_lessequals(c_Suc(X2),X1,tc_nat) ),
    c_0_2455,
    [final] ).

cnf(c_0_3093,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)
    | c_HOL_Oord__class_Oless(X1,X1,tc_nat) ),
    c_0_2456,
    [final] ).

cnf(c_0_3094,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat) ),
    c_0_2457,
    [final] ).

cnf(c_0_3095,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    c_0_2458,
    [final] ).

cnf(c_0_3096,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    c_0_2459,
    [final] ).

cnf(c_0_3097,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    c_0_2460,
    [final] ).

cnf(c_0_3098,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
    c_0_2461,
    [final] ).

cnf(c_0_3099,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | c_lessequals(X2,X1,tc_nat) ),
    c_0_2462,
    [final] ).

cnf(c_0_3100,plain,
    ( X1 = c_Orderings_Obot__class_Obot(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    c_0_2463,
    [final] ).

cnf(c_0_3101,plain,
    ( X1 = c_Orderings_Obot__class_Obot(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2) != c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    c_0_2464,
    [final] ).

cnf(c_0_3102,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X2) ),
    c_0_2465,
    [final] ).

cnf(c_0_3103,plain,
    ( X1 = c_Orderings_Otop__class_Otop(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2) != c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    c_0_2466,
    [final] ).

cnf(c_0_3104,plain,
    ( X1 = c_Orderings_Otop__class_Otop(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X2) != c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    c_0_2467,
    [final] ).

cnf(c_0_3105,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) = c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    c_0_2468,
    [final] ).

cnf(c_0_3106,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    c_0_2469,
    [final] ).

cnf(c_0_3107,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    c_0_2470,
    [final] ).

cnf(c_0_3108,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    c_0_2471,
    [final] ).

cnf(c_0_3109,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_2472,
    [final] ).

cnf(c_0_3110,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_2473,
    [final] ).

cnf(c_0_3111,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    c_0_2474,
    [final] ).

cnf(c_0_3112,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_2475,
    [final] ).

cnf(c_0_3113,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_2476,
    [final] ).

cnf(c_0_3114,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    c_0_2477,
    [final] ).

cnf(c_0_3115,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_2478,
    [final] ).

cnf(c_0_3116,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    c_0_2479,
    [final] ).

cnf(c_0_3117,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
    c_0_2480,
    [final] ).

cnf(c_0_3118,plain,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    c_0_2481,
    [final] ).

cnf(c_0_3119,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_2482,
    [final] ).

cnf(c_0_3120,plain,
    ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_Suc(X2),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Power_Opower(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    c_0_2483,
    [final] ).

cnf(c_0_3121,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Ring__and__Field_Osemiring__0(X2) ),
    c_0_2484,
    [final] ).

cnf(c_0_3122,plain,
    ( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    c_0_2485,
    [final] ).

cnf(c_0_3123,plain,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ocard(X1,X2) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    c_0_2486,
    [final] ).

cnf(c_0_3124,plain,
    ( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    c_0_2487,
    [final] ).

cnf(c_0_3125,plain,
    ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Orderings_Obot(X1) ),
    c_0_2488,
    [final] ).

cnf(c_0_3126,plain,
    ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Orderings_Otop(X1) ),
    c_0_2489,
    [final] ).

cnf(c_0_3127,plain,
    ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
    | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
    c_0_2490,
    [final] ).

cnf(c_0_3128,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    c_0_2491,
    [final] ).

cnf(c_0_3129,plain,
    ( X1 = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    c_0_2492,
    [final] ).

cnf(c_0_3130,plain,
    ( X1 = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_2493,
    [final] ).

cnf(c_0_3131,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(X2),X2) = c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    c_0_2494,
    [final] ).

cnf(c_0_3132,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    c_0_2495,
    [final] ).

cnf(c_0_3133,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    c_0_2496,
    [final] ).

cnf(c_0_3134,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(X2),X2) = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    c_0_2497,
    [final] ).

cnf(c_0_3135,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2) = X1
    | ~ class_Lattices_Obounded__lattice(X2) ),
    c_0_2498,
    [final] ).

cnf(c_0_3136,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    c_0_2499,
    [final] ).

cnf(c_0_3137,plain,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_2500,
    [final] ).

cnf(c_0_3138,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X1),X2,X1) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    c_0_2501,
    [final] ).

cnf(c_0_3139,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Otop__class_Otop(X2),X2) = X1
    | ~ class_Lattices_Obounded__lattice(X2) ),
    c_0_2502,
    [final] ).

cnf(c_0_3140,plain,
    ( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
    | ~ class_Orderings_Obot(X1) ),
    c_0_2503,
    [final] ).

cnf(c_0_3141,plain,
    ( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
    | ~ class_Orderings_Otop(X2) ),
    c_0_2504,
    [final] ).

cnf(c_0_3142,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_2505,
    [final] ).

cnf(c_0_3143,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    c_0_2506,
    [final] ).

cnf(c_0_3144,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_2507,
    [final] ).

cnf(c_0_3145,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_2508,
    [final] ).

cnf(c_0_3146,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_2509,
    [final] ).

cnf(c_0_3147,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_2510,
    [final] ).

cnf(c_0_3148,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_2511,
    [final] ).

cnf(c_0_3149,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    c_0_2512,
    [final] ).

cnf(c_0_3150,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    c_0_2513,
    [final] ).

cnf(c_0_3151,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1
    | ~ class_Lattices_Olower__semilattice(X2) ),
    c_0_2514,
    [final] ).

cnf(c_0_3152,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    c_0_2515,
    [final] ).

cnf(c_0_3153,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    c_0_2516,
    [final] ).

cnf(c_0_3154,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
    c_0_2517,
    [final] ).

cnf(c_0_3155,plain,
    ( X1 = X2
    | c_SetInterval_Oord__class_OlessThan(X1,X3) != c_SetInterval_Oord__class_OlessThan(X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_2518,
    [final] ).

cnf(c_0_3156,plain,
    ( X1 = X2
    | c_Nat_Osemiring__1__class_Oof__nat(X1,X3) != c_Nat_Osemiring__1__class_Oof__nat(X2,X3)
    | ~ class_Nat_Osemiring__char__0(X3) ),
    c_0_2519,
    [final] ).

cnf(c_0_3157,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_2520,
    [final] ).

cnf(c_0_3158,plain,
    ( c_HOL_Ozero__class_Ozero(X1) = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2) != c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_2521,
    [final] ).

cnf(c_0_3159,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != X1
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    c_0_2522,
    [final] ).

cnf(c_0_3160,plain,
    ( class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))
    | ~ class_Finite__Set_Ofinite_Ofinite(X1)
    | ~ class_Finite__Set_Ofinite_Ofinite(X2) ),
    c_0_2523,
    [final] ).

cnf(c_0_3161,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Orderings_Otop__class_Otop(X1)) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    c_0_2524,
    [final] ).

cnf(c_0_3162,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Orderings_Obot__class_Obot(X1)) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    c_0_2525,
    [final] ).

cnf(c_0_3163,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_2526,
    [final] ).

cnf(c_0_3164,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    c_0_2527,
    [final] ).

cnf(c_0_3165,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_2528,
    [final] ).

cnf(c_0_3166,plain,
    ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X2,X1))
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    c_0_2529,
    [final] ).

cnf(c_0_3167,plain,
    ( class_Lattices_Oupper__semilattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    c_0_2530,
    [final] ).

cnf(c_0_3168,plain,
    ( class_Lattices_Olower__semilattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    c_0_2531,
    [final] ).

cnf(c_0_3169,plain,
    ( class_Lattices_Odistrib__lattice(tc_fun(X2,X1))
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    c_0_2532,
    [final] ).

cnf(c_0_3170,plain,
    ( class_Lattices_Obounded__lattice(tc_fun(X2,X1))
    | ~ class_Lattices_Obounded__lattice(X1) ),
    c_0_2533,
    [final] ).

cnf(c_0_3171,plain,
    ( class_Lattices_Oboolean__algebra(tc_fun(X2,X1))
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    c_0_2534,
    [final] ).

cnf(c_0_3172,plain,
    ( class_Orderings_Opreorder(tc_fun(X2,X1))
    | ~ class_Orderings_Opreorder(X1) ),
    c_0_2535,
    [final] ).

cnf(c_0_3173,plain,
    ( class_Lattices_Olattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    c_0_2536,
    [final] ).

cnf(c_0_3174,plain,
    ( class_Orderings_Oorder(tc_fun(X2,X1))
    | ~ class_Orderings_Oorder(X1) ),
    c_0_2537,
    [final] ).

cnf(c_0_3175,plain,
    ( class_Orderings_Otop(tc_fun(X2,X1))
    | ~ class_Orderings_Otop(X1) ),
    c_0_2538,
    [final] ).

cnf(c_0_3176,plain,
    ( class_Orderings_Obot(tc_fun(X2,X1))
    | ~ class_Orderings_Obot(X1) ),
    c_0_2539,
    [final] ).

cnf(c_0_3177,plain,
    ( class_HOL_Ouminus(tc_fun(X2,X1))
    | ~ class_HOL_Ouminus(X1) ),
    c_0_2540,
    [final] ).

cnf(c_0_3178,plain,
    ( class_HOL_Ominus(tc_fun(X2,X1))
    | ~ class_HOL_Ominus(X1) ),
    c_0_2541,
    [final] ).

cnf(c_0_3179,plain,
    ( class_HOL_Oord(tc_fun(X2,X1))
    | ~ class_HOL_Oord(X1) ),
    c_0_2542,
    [final] ).

cnf(c_0_3180,plain,
    ( c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ocard(X1,X2) = c_HOL_Ozero__class_Ozero(tc_nat) ),
    c_0_2543,
    [final] ).

cnf(c_0_3181,plain,
    ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    c_0_2544,
    [final] ).

cnf(c_0_3182,plain,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Finite__Set_Ofinite_Ofinite(X2) ),
    c_0_2545,
    [final] ).

cnf(c_0_3183,plain,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    c_0_2546,
    [final] ).

cnf(c_0_3184,plain,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    c_0_2547,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_2548_0,axiom,
    ( c_Fun_Oinj__on(X4,X2,X3,X5)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X3)
    | ~ c_Fun_Oinj__on(X4,c_Set_Oimage(X1,X2,X3,X3),X3,X5)
    | hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5))) != hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5)))
    | hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5)) != hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2548]) ).

cnf(c_0_2548_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X3)
    | c_Fun_Oinj__on(X4,X2,X3,X5)
    | ~ c_Fun_Oinj__on(X4,c_Set_Oimage(X1,X2,X3,X3),X3,X5)
    | hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5))) != hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5)))
    | hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5)) != hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2548]) ).

cnf(c_0_2548_2,axiom,
    ( ~ c_Fun_Oinj__on(X4,c_Set_Oimage(X1,X2,X3,X3),X3,X5)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X3)
    | c_Fun_Oinj__on(X4,X2,X3,X5)
    | hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5))) != hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5)))
    | hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5)) != hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2548]) ).

cnf(c_0_2548_3,axiom,
    ( hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5))) != hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5)))
    | ~ c_Fun_Oinj__on(X4,c_Set_Oimage(X1,X2,X3,X3),X3,X5)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X3)
    | c_Fun_Oinj__on(X4,X2,X3,X5)
    | hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5)) != hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2548]) ).

cnf(c_0_2548_4,axiom,
    ( hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5)) != hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5))
    | hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5))) != hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5)))
    | ~ c_Fun_Oinj__on(X4,c_Set_Oimage(X1,X2,X3,X3),X3,X5)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X3)
    | c_Fun_Oinj__on(X4,X2,X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2548]) ).

cnf(c_0_2549_0,axiom,
    ( c_Fun_Oinj__on(X4,c_Set_Oimage(X1,X2,X3,X3),X3,X5)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X3)
    | ~ c_Fun_Oinj__on(X4,X2,X3,X5)
    | hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5))) != hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5)))
    | hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5)) != hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2549]) ).

cnf(c_0_2549_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X3)
    | c_Fun_Oinj__on(X4,c_Set_Oimage(X1,X2,X3,X3),X3,X5)
    | ~ c_Fun_Oinj__on(X4,X2,X3,X5)
    | hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5))) != hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5)))
    | hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5)) != hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2549]) ).

cnf(c_0_2549_2,axiom,
    ( ~ c_Fun_Oinj__on(X4,X2,X3,X5)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X3)
    | c_Fun_Oinj__on(X4,c_Set_Oimage(X1,X2,X3,X3),X3,X5)
    | hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5))) != hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5)))
    | hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5)) != hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2549]) ).

cnf(c_0_2549_3,axiom,
    ( hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5))) != hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5)))
    | ~ c_Fun_Oinj__on(X4,X2,X3,X5)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X3)
    | c_Fun_Oinj__on(X4,c_Set_Oimage(X1,X2,X3,X3),X3,X5)
    | hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5)) != hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2549]) ).

cnf(c_0_2549_4,axiom,
    ( hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5)) != hAPP(X4,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5))
    | hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X1,X4,X3,X5))) != hAPP(X4,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X2,X1,X4,X3,X5)))
    | ~ c_Fun_Oinj__on(X4,X2,X3,X5)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X3)
    | c_Fun_Oinj__on(X4,c_Set_Oimage(X1,X2,X3,X3),X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2549]) ).

cnf(c_0_2550_0,axiom,
    ( hAPP(c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),c_Hilbert__Choice_Oinv__into(c_Set_Oimage(X2,X3,X4,X5),X1,X5,X6),X5,X4,X6),X7) = hAPP(c_Hilbert__Choice_Oinv__into(X3,c_Fun_Ocomp(X1,X2,X5,X6,X4),X4,X6),X7)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6)
    | ~ c_Fun_Oinj__on(X2,X3,X4,X5)
    | ~ hBOOL(c_in(X7,c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_2550]) ).

cnf(c_0_2550_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6)
    | hAPP(c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),c_Hilbert__Choice_Oinv__into(c_Set_Oimage(X2,X3,X4,X5),X1,X5,X6),X5,X4,X6),X7) = hAPP(c_Hilbert__Choice_Oinv__into(X3,c_Fun_Ocomp(X1,X2,X5,X6,X4),X4,X6),X7)
    | ~ c_Fun_Oinj__on(X2,X3,X4,X5)
    | ~ hBOOL(c_in(X7,c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_2550]) ).

cnf(c_0_2550_2,axiom,
    ( ~ c_Fun_Oinj__on(X2,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6)
    | hAPP(c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),c_Hilbert__Choice_Oinv__into(c_Set_Oimage(X2,X3,X4,X5),X1,X5,X6),X5,X4,X6),X7) = hAPP(c_Hilbert__Choice_Oinv__into(X3,c_Fun_Ocomp(X1,X2,X5,X6,X4),X4,X6),X7)
    | ~ hBOOL(c_in(X7,c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_2550]) ).

cnf(c_0_2550_3,axiom,
    ( ~ hBOOL(c_in(X7,c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6),X6))
    | ~ c_Fun_Oinj__on(X2,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6)
    | hAPP(c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),c_Hilbert__Choice_Oinv__into(c_Set_Oimage(X2,X3,X4,X5),X1,X5,X6),X5,X4,X6),X7) = hAPP(c_Hilbert__Choice_Oinv__into(X3,c_Fun_Ocomp(X1,X2,X5,X6,X4),X4,X6),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_2550]) ).

cnf(c_0_2551_0,axiom,
    ( hAPP(c_Fun_Ocomp(c_Fun_Othe__inv__into(X3,X2,X4,X5),c_Fun_Othe__inv__into(c_Set_Oimage(X2,X3,X4,X5),X1,X5,X6),X5,X4,X6),X7) = hAPP(c_Fun_Othe__inv__into(X3,c_Fun_Ocomp(X1,X2,X5,X6,X4),X4,X6),X7)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6)
    | ~ c_Fun_Oinj__on(X2,X3,X4,X5)
    | ~ hBOOL(c_in(X7,c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_2551]) ).

cnf(c_0_2551_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6)
    | hAPP(c_Fun_Ocomp(c_Fun_Othe__inv__into(X3,X2,X4,X5),c_Fun_Othe__inv__into(c_Set_Oimage(X2,X3,X4,X5),X1,X5,X6),X5,X4,X6),X7) = hAPP(c_Fun_Othe__inv__into(X3,c_Fun_Ocomp(X1,X2,X5,X6,X4),X4,X6),X7)
    | ~ c_Fun_Oinj__on(X2,X3,X4,X5)
    | ~ hBOOL(c_in(X7,c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_2551]) ).

cnf(c_0_2551_2,axiom,
    ( ~ c_Fun_Oinj__on(X2,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6)
    | hAPP(c_Fun_Ocomp(c_Fun_Othe__inv__into(X3,X2,X4,X5),c_Fun_Othe__inv__into(c_Set_Oimage(X2,X3,X4,X5),X1,X5,X6),X5,X4,X6),X7) = hAPP(c_Fun_Othe__inv__into(X3,c_Fun_Ocomp(X1,X2,X5,X6,X4),X4,X6),X7)
    | ~ hBOOL(c_in(X7,c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6),X6)) ),
    inference(literals_permutation,[status(thm)],[c_0_2551]) ).

cnf(c_0_2551_3,axiom,
    ( ~ hBOOL(c_in(X7,c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6),X6))
    | ~ c_Fun_Oinj__on(X2,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6)
    | hAPP(c_Fun_Ocomp(c_Fun_Othe__inv__into(X3,X2,X4,X5),c_Fun_Othe__inv__into(c_Set_Oimage(X2,X3,X4,X5),X1,X5,X6),X5,X4,X6),X7) = hAPP(c_Fun_Othe__inv__into(X3,c_Fun_Ocomp(X1,X2,X5,X6,X4),X4,X6),X7) ),
    inference(literals_permutation,[status(thm)],[c_0_2551]) ).

cnf(c_0_2552_0,axiom,
    ( hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5))) = hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5)))
    | hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5))
    | c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X2,X3,X4,X4)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2552]) ).

cnf(c_0_2552_1,axiom,
    ( hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5))
    | hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5))) = hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5)))
    | c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X2,X3,X4,X4)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2552]) ).

cnf(c_0_2552_2,axiom,
    ( c_Fun_Oinj__on(X1,X3,X4,X5)
    | hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5))
    | hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5))) = hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5)))
    | ~ c_Fun_Oinj__on(X2,X3,X4,X4)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2552]) ).

cnf(c_0_2552_3,axiom,
    ( ~ c_Fun_Oinj__on(X2,X3,X4,X4)
    | c_Fun_Oinj__on(X1,X3,X4,X5)
    | hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5))
    | hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5))) = hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5)))
    | ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2552]) ).

cnf(c_0_2552_4,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5)
    | ~ c_Fun_Oinj__on(X2,X3,X4,X4)
    | c_Fun_Oinj__on(X1,X3,X4,X5)
    | hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5))
    | hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5))) = hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_2552]) ).

cnf(c_0_2553_0,axiom,
    ( hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5))) = hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5)))
    | hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5))
    | c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5)
    | ~ c_Fun_Oinj__on(X2,X3,X4,X4)
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2553]) ).

cnf(c_0_2553_1,axiom,
    ( hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5))
    | hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5))) = hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5)))
    | c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5)
    | ~ c_Fun_Oinj__on(X2,X3,X4,X4)
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2553]) ).

cnf(c_0_2553_2,axiom,
    ( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5)
    | hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5))
    | hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5))) = hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5)))
    | ~ c_Fun_Oinj__on(X2,X3,X4,X4)
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2553]) ).

cnf(c_0_2553_3,axiom,
    ( ~ c_Fun_Oinj__on(X2,X3,X4,X4)
    | c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5)
    | hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5))
    | hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5))) = hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5)))
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2553]) ).

cnf(c_0_2553_4,axiom,
    ( ~ c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X2,X3,X4,X4)
    | c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5)
    | hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5))
    | hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5))) = hAPP(X1,hAPP(X2,c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X3,X2,X1,X4,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_2553]) ).

cnf(c_0_2554_0,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | hAPP(X5,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(X2,X1,X5,X3,X4))) != c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(X2,X1,X5,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2554]) ).

cnf(c_0_2554_1,axiom,
    ( hAPP(X5,hAPP(X1,c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(X2,X1,X5,X3,X4))) != c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(X2,X1,X5,X3,X4)
    | c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2554]) ).

cnf(c_0_2555_0,axiom,
    ( hBOOL(hAPP(X4,X5))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ hBOOL(hAPP(X4,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X4,X1,X2,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2555]) ).

cnf(c_0_2555_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | hBOOL(hAPP(X4,X5))
    | ~ hBOOL(hAPP(X4,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X4,X1,X2,X3)))) ),
    inference(literals_permutation,[status(thm)],[c_0_2555]) ).

cnf(c_0_2555_2,axiom,
    ( ~ hBOOL(hAPP(X4,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X4,X1,X2,X3))))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | hBOOL(hAPP(X4,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2555]) ).

cnf(c_0_2556_0,axiom,
    ( c_Fun_Obij__betw(c_Fun_Ocomp(X6,X1,X5,X8,X4),X2,X7,X4,X8)
    | ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5)
    | ~ c_Fun_Obij__betw(X6,X3,X7,X5,X8) ),
    inference(literals_permutation,[status(thm)],[c_0_2556]) ).

cnf(c_0_2556_1,axiom,
    ( ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5)
    | c_Fun_Obij__betw(c_Fun_Ocomp(X6,X1,X5,X8,X4),X2,X7,X4,X8)
    | ~ c_Fun_Obij__betw(X6,X3,X7,X5,X8) ),
    inference(literals_permutation,[status(thm)],[c_0_2556]) ).

cnf(c_0_2556_2,axiom,
    ( ~ c_Fun_Obij__betw(X6,X3,X7,X5,X8)
    | ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5)
    | c_Fun_Obij__betw(c_Fun_Ocomp(X6,X1,X5,X8,X4),X2,X7,X4,X8) ),
    inference(literals_permutation,[status(thm)],[c_0_2556]) ).

cnf(c_0_2557_0,axiom,
    ( hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X1,X2,X3,X4,X5),X1,X4))
    | c_Fun_Oinj__on(X3,X1,X4,X5)
    | ~ c_Fun_Oinj__on(X2,X1,X4,X4)
    | ~ c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2557]) ).

cnf(c_0_2557_1,axiom,
    ( c_Fun_Oinj__on(X3,X1,X4,X5)
    | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X1,X2,X3,X4,X5),X1,X4))
    | ~ c_Fun_Oinj__on(X2,X1,X4,X4)
    | ~ c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2557]) ).

cnf(c_0_2557_2,axiom,
    ( ~ c_Fun_Oinj__on(X2,X1,X4,X4)
    | c_Fun_Oinj__on(X3,X1,X4,X5)
    | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X1,X2,X3,X4,X5),X1,X4))
    | ~ c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2557]) ).

cnf(c_0_2557_3,axiom,
    ( ~ c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5)
    | ~ c_Fun_Oinj__on(X2,X1,X4,X4)
    | c_Fun_Oinj__on(X3,X1,X4,X5)
    | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X1,X2,X3,X4,X5),X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2557]) ).

cnf(c_0_2558_0,axiom,
    ( hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X1,X2,X3,X4,X5),X1,X4))
    | c_Fun_Oinj__on(X3,X1,X4,X5)
    | ~ c_Fun_Oinj__on(X2,X1,X4,X4)
    | ~ c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2558]) ).

cnf(c_0_2558_1,axiom,
    ( c_Fun_Oinj__on(X3,X1,X4,X5)
    | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X1,X2,X3,X4,X5),X1,X4))
    | ~ c_Fun_Oinj__on(X2,X1,X4,X4)
    | ~ c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2558]) ).

cnf(c_0_2558_2,axiom,
    ( ~ c_Fun_Oinj__on(X2,X1,X4,X4)
    | c_Fun_Oinj__on(X3,X1,X4,X5)
    | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X1,X2,X3,X4,X5),X1,X4))
    | ~ c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2558]) ).

cnf(c_0_2558_3,axiom,
    ( ~ c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5)
    | ~ c_Fun_Oinj__on(X2,X1,X4,X4)
    | c_Fun_Oinj__on(X3,X1,X4,X5)
    | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X1,X2,X3,X4,X5),X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2558]) ).

cnf(c_0_2559_0,axiom,
    ( hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X1,X2,X3,X4,X5),X1,X4))
    | c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5)
    | ~ c_Fun_Oinj__on(X2,X1,X4,X4)
    | ~ c_Fun_Oinj__on(X3,X1,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2559]) ).

cnf(c_0_2559_1,axiom,
    ( c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5)
    | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X1,X2,X3,X4,X5),X1,X4))
    | ~ c_Fun_Oinj__on(X2,X1,X4,X4)
    | ~ c_Fun_Oinj__on(X3,X1,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2559]) ).

cnf(c_0_2559_2,axiom,
    ( ~ c_Fun_Oinj__on(X2,X1,X4,X4)
    | c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5)
    | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X1,X2,X3,X4,X5),X1,X4))
    | ~ c_Fun_Oinj__on(X3,X1,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2559]) ).

cnf(c_0_2559_3,axiom,
    ( ~ c_Fun_Oinj__on(X3,X1,X4,X5)
    | ~ c_Fun_Oinj__on(X2,X1,X4,X4)
    | c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5)
    | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__1(X1,X2,X3,X4,X5),X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2559]) ).

cnf(c_0_2560_0,axiom,
    ( hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X1,X2,X3,X4,X5),X1,X4))
    | c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5)
    | ~ c_Fun_Oinj__on(X2,X1,X4,X4)
    | ~ c_Fun_Oinj__on(X3,X1,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2560]) ).

cnf(c_0_2560_1,axiom,
    ( c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5)
    | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X1,X2,X3,X4,X5),X1,X4))
    | ~ c_Fun_Oinj__on(X2,X1,X4,X4)
    | ~ c_Fun_Oinj__on(X3,X1,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2560]) ).

cnf(c_0_2560_2,axiom,
    ( ~ c_Fun_Oinj__on(X2,X1,X4,X4)
    | c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5)
    | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X1,X2,X3,X4,X5),X1,X4))
    | ~ c_Fun_Oinj__on(X3,X1,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2560]) ).

cnf(c_0_2560_3,axiom,
    ( ~ c_Fun_Oinj__on(X3,X1,X4,X5)
    | ~ c_Fun_Oinj__on(X2,X1,X4,X4)
    | c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5)
    | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X1,X2,X3,X4,X5),X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2560]) ).

cnf(c_0_2561_0,axiom,
    ( c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X4,X1,X3,X5,X2),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X5),X5)
    | ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2561]) ).

cnf(c_0_2561_1,axiom,
    ( ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),X3)
    | c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(X4,X1,X3,X5,X2),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2561]) ).

cnf(c_0_2562_0,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
    | ~ hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2562]) ).

cnf(c_0_2562_1,axiom,
    ( ~ hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5))
    | ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2562]) ).

cnf(c_0_2563_0,axiom,
    ( c_Fun_Ocomp(c_Fun_Ocomp(X4,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X2,X5,X3),X1,X3,X5,X2) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2563]) ).

cnf(c_0_2563_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_Fun_Ocomp(c_Fun_Ocomp(X4,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X2,X5,X3),X1,X3,X5,X2) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2563]) ).

cnf(c_0_2564_0,axiom,
    ( c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X4,X5,X2),c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X2,X5,X3) = c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),c_Fun_Ocomp(X1,X4,X2,X3,X5),X5,X3)
    | ~ c_Fun_Obij(X1,X2,X3)
    | ~ c_Fun_Obij(X4,X5,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2564]) ).

cnf(c_0_2564_1,axiom,
    ( ~ c_Fun_Obij(X1,X2,X3)
    | c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X4,X5,X2),c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X2,X5,X3) = c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),c_Fun_Ocomp(X1,X4,X2,X3,X5),X5,X3)
    | ~ c_Fun_Obij(X4,X5,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2564]) ).

cnf(c_0_2564_2,axiom,
    ( ~ c_Fun_Obij(X4,X5,X2)
    | ~ c_Fun_Obij(X1,X2,X3)
    | c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X4,X5,X2),c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X2,X5,X3) = c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),c_Fun_Ocomp(X1,X4,X2,X3,X5),X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2564]) ).

cnf(c_0_2565_0,axiom,
    ( hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(X1,X2,X3,X4,X5),X1,X4))
    | c_Fun_Oinj__on(X2,X1,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2565]) ).

cnf(c_0_2565_1,axiom,
    ( c_Fun_Oinj__on(X2,X1,X4,X5)
    | hBOOL(c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__inverseI__1__1(X1,X2,X3,X4,X5),X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2565]) ).

cnf(c_0_2566_0,axiom,
    ( X1 = X6
    | ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5))
    | ~ hBOOL(c_in(X6,c_Set_Oimage(X2,X3,X4,X5),X5))
    | hAPP(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1) != hAPP(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2566]) ).

cnf(c_0_2566_1,axiom,
    ( ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5))
    | X1 = X6
    | ~ hBOOL(c_in(X6,c_Set_Oimage(X2,X3,X4,X5),X5))
    | hAPP(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1) != hAPP(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2566]) ).

cnf(c_0_2566_2,axiom,
    ( ~ hBOOL(c_in(X6,c_Set_Oimage(X2,X3,X4,X5),X5))
    | ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5))
    | X1 = X6
    | hAPP(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1) != hAPP(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2566]) ).

cnf(c_0_2566_3,axiom,
    ( hAPP(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1) != hAPP(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X6)
    | ~ hBOOL(c_in(X6,c_Set_Oimage(X2,X3,X4,X5),X5))
    | ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5))
    | X1 = X6 ),
    inference(literals_permutation,[status(thm)],[c_0_2566]) ).

cnf(c_0_2567_0,axiom,
    ( hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6) = hAPP(c_Fun_Ocomp(X7,X8,X9,X4,X10),X11)
    | hAPP(X1,hAPP(X2,X6)) != hAPP(X7,hAPP(X8,X11)) ),
    inference(literals_permutation,[status(thm)],[c_0_2567]) ).

cnf(c_0_2567_1,axiom,
    ( hAPP(X1,hAPP(X2,X6)) != hAPP(X7,hAPP(X8,X11))
    | hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6) = hAPP(c_Fun_Ocomp(X7,X8,X9,X4,X10),X11) ),
    inference(literals_permutation,[status(thm)],[c_0_2567]) ).

cnf(c_0_2568_0,axiom,
    ( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4)
    | ~ c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2568]) ).

cnf(c_0_2568_1,axiom,
    ( ~ c_Fun_Oinj__on(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6,X5,X4)
    | c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X6,X5,X3),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2568]) ).

cnf(c_0_2569_0,axiom,
    ( hBOOL(c_in(hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),X5),X6,X3))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ hBOOL(c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4))
    | ~ c_lessequals(X2,X6,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2569]) ).

cnf(c_0_2569_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | hBOOL(c_in(hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),X5),X6,X3))
    | ~ hBOOL(c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4))
    | ~ c_lessequals(X2,X6,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2569]) ).

cnf(c_0_2569_2,axiom,
    ( ~ hBOOL(c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | hBOOL(c_in(hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),X5),X6,X3))
    | ~ c_lessequals(X2,X6,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2569]) ).

cnf(c_0_2569_3,axiom,
    ( ~ c_lessequals(X2,X6,tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | hBOOL(c_in(hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),X5),X6,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2569]) ).

cnf(c_0_2570_0,axiom,
    ( hAPP(X1,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X1,X2),X1,X2,X3,X4)) = hAPP(X1,X2)
    | hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3),X3))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2570]) ).

cnf(c_0_2570_1,axiom,
    ( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3),X3))
    | hAPP(X1,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X1,X2),X1,X2,X3,X4)) = hAPP(X1,X2)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2570]) ).

cnf(c_0_2570_2,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3)
    | hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3),X3))
    | hAPP(X1,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X1,X2),X1,X2,X3,X4)) = hAPP(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2570]) ).

cnf(c_0_2571_0,axiom,
    ( c_Fun_Oinj__on(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(X5,c_Set_Oimage(X1,X2,X3,X4),X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2571]) ).

cnf(c_0_2571_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Fun_Oinj__on(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Fun_Oinj__on(X5,c_Set_Oimage(X1,X2,X3,X4),X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2571]) ).

cnf(c_0_2571_2,axiom,
    ( ~ c_Fun_Oinj__on(X5,c_Set_Oimage(X1,X2,X3,X4),X4,X6)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Fun_Oinj__on(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2571]) ).

cnf(c_0_2572_0,axiom,
    ( hBOOL(c_in(hAPP(X1,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X4),X4))
    | c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2572]) ).

cnf(c_0_2572_1,axiom,
    ( c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4)
    | hBOOL(c_in(hAPP(X1,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X4),X4))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2572]) ).

cnf(c_0_2572_2,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4)
    | hBOOL(c_in(hAPP(X1,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3,X4),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2572]) ).

cnf(c_0_2573_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(c_in(X3,X1,X2))
    | ~ hBOOL(c_in(X4,X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2573]) ).

cnf(c_0_2573_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | ~ hBOOL(c_in(X3,X1,X2))
    | ~ hBOOL(c_in(X4,X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2573]) ).

cnf(c_0_2573_2,axiom,
    ( ~ hBOOL(c_in(X3,X1,X2))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | ~ hBOOL(c_in(X4,X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2573]) ).

cnf(c_0_2573_3,axiom,
    ( ~ hBOOL(c_in(X4,X1,X2))
    | ~ hBOOL(c_in(X3,X1,X2))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2),c_Finite__Set_Ocard(X1,X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2573]) ).

cnf(c_0_2574_0,axiom,
    ( c_Fun_Obij__betw(X1,X2,X5,X3,X4)
    | ~ c_Fun_Obij__betw(c_FuncSet_Orestrict(X1,X2,X3,X4),X2,X5,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2574]) ).

cnf(c_0_2574_1,axiom,
    ( ~ c_Fun_Obij__betw(c_FuncSet_Orestrict(X1,X2,X3,X4),X2,X5,X3,X4)
    | c_Fun_Obij__betw(X1,X2,X5,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2574]) ).

cnf(c_0_2575_0,axiom,
    ( hAPP(X1,hAPP(X2,X3)) = hAPP(X4,hAPP(X5,X3))
    | c_Fun_Ocomp(X1,X2,X6,X7,X8) != c_Fun_Ocomp(X4,X5,X9,X7,X8) ),
    inference(literals_permutation,[status(thm)],[c_0_2575]) ).

cnf(c_0_2575_1,axiom,
    ( c_Fun_Ocomp(X1,X2,X6,X7,X8) != c_Fun_Ocomp(X4,X5,X9,X7,X8)
    | hAPP(X1,hAPP(X2,X3)) = hAPP(X4,hAPP(X5,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2575]) ).

cnf(c_0_2576_0,axiom,
    ( hBOOL(c_in(hAPP(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1),X3,X4))
    | ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2576]) ).

cnf(c_0_2576_1,axiom,
    ( ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5))
    | hBOOL(c_in(hAPP(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1),X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2576]) ).

cnf(c_0_2577_0,axiom,
    ( c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
    | ~ c_Fun_Oinj__on(X1,X2,X4,X5)
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5)
    | c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2577]) ).

cnf(c_0_2577_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X4,X5)
    | c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5)
    | c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2577]) ).

cnf(c_0_2577_2,axiom,
    ( ~ c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X1,X2,X4,X5)
    | c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
    | c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2577]) ).

cnf(c_0_2577_3,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X1,X2,X4,X5)
    | c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2577]) ).

cnf(c_0_2578_0,axiom,
    ( hAPP(X1,hAPP(X2,X3)) = hAPP(X4,X3)
    | c_Fun_Ocomp(X1,X2,X5,X6,X7) != c_Fun_Ocomp(c_Fun_Oid(X6),X4,X6,X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_2578]) ).

cnf(c_0_2578_1,axiom,
    ( c_Fun_Ocomp(X1,X2,X5,X6,X7) != c_Fun_Ocomp(c_Fun_Oid(X6),X4,X6,X6,X7)
    | hAPP(X1,hAPP(X2,X3)) = hAPP(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2578]) ).

cnf(c_0_2579_0,axiom,
    ( c_Finite__Set_Osetsum(X5,c_Set_Oimage(X1,X2,X3,X4),X4,X6) = c_Finite__Set_Osetsum(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2579]) ).

cnf(c_0_2579_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Finite__Set_Osetsum(X5,c_Set_Oimage(X1,X2,X3,X4),X4,X6) = c_Finite__Set_Osetsum(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2579]) ).

cnf(c_0_2579_2,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X6)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Finite__Set_Osetsum(X5,c_Set_Oimage(X1,X2,X3,X4),X4,X6) = c_Finite__Set_Osetsum(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2579]) ).

cnf(c_0_2580_0,axiom,
    ( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X1,X2),X1,X2,X4,X3) != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2580]) ).

cnf(c_0_2580_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)
    | hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4))
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X1,X2),X1,X2,X4,X3) != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2580]) ).

cnf(c_0_2580_2,axiom,
    ( c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X1,X2),X1,X2,X4,X3) != X2
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)
    | hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2580]) ).

cnf(c_0_2581_0,axiom,
    ( c_Fun_Obij__betw(c_FuncSet_Orestrict(X1,X2,X4,X5),X2,X3,X4,X5)
    | ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2581]) ).

cnf(c_0_2581_1,axiom,
    ( ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5)
    | c_Fun_Obij__betw(c_FuncSet_Orestrict(X1,X2,X4,X5),X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2581]) ).

cnf(c_0_2582_0,axiom,
    ( c_Fun_Obij__betw(c_Fun_Othe__inv__into(X2,X1,X4,X5),X3,X2,X5,X4)
    | ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2582]) ).

cnf(c_0_2582_1,axiom,
    ( ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5)
    | c_Fun_Obij__betw(c_Fun_Othe__inv__into(X2,X1,X4,X5),X3,X2,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2582]) ).

cnf(c_0_2583_0,axiom,
    ( c_Fun_Obij__betw(c_Hilbert__Choice_Oinv__into(X2,X1,X4,X5),X3,X2,X5,X4)
    | ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2583]) ).

cnf(c_0_2583_1,axiom,
    ( ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5)
    | c_Fun_Obij__betw(c_Hilbert__Choice_Oinv__into(X2,X1,X4,X5),X3,X2,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2583]) ).

cnf(c_0_2584_0,axiom,
    ( c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,X3),X4,X3,X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Finite__Set_Osetsum(X2,X4,X3,X1))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2584]) ).

cnf(c_0_2584_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,X3),X4,X3,X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Finite__Set_Osetsum(X2,X4,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2584]) ).

cnf(c_0_2585_0,axiom,
    ( hAPP(X1,hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),X5)) = X5
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ hBOOL(c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2585]) ).

cnf(c_0_2585_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | hAPP(X1,hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),X5)) = X5
    | ~ hBOOL(c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2585]) ).

cnf(c_0_2585_2,axiom,
    ( ~ hBOOL(c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | hAPP(X1,hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),X5)) = X5 ),
    inference(literals_permutation,[status(thm)],[c_0_2585]) ).

cnf(c_0_2586_0,axiom,
    ( c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X1,X3,X2,X2) != c_Fun_Oid(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2586]) ).

cnf(c_0_2586_1,axiom,
    ( c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X1,X3,X2,X2) != c_Fun_Oid(X2)
    | c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2586]) ).

cnf(c_0_2587_0,axiom,
    ( hAPP(X2,X1) = X3
    | ~ hBOOL(c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2587]) ).

cnf(c_0_2587_1,axiom,
    ( ~ hBOOL(c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),X5))
    | hAPP(X2,X1) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2587]) ).

cnf(c_0_2588_0,axiom,
    ( hAPP(X1,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X4,X1,X3,X2)) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ hBOOL(c_in(X4,c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2588]) ).

cnf(c_0_2588_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | hAPP(X1,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X4,X1,X3,X2)) = X4
    | ~ hBOOL(c_in(X4,c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2588]) ).

cnf(c_0_2588_2,axiom,
    ( ~ hBOOL(c_in(X4,c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),X3))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | hAPP(X1,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X4,X1,X3,X2)) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2588]) ).

cnf(c_0_2589_0,axiom,
    ( c_Fun_Osurj(X1,X2,X3)
    | c_Fun_Ocomp(X1,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X2,X3,X3) != c_Fun_Oid(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2589]) ).

cnf(c_0_2589_1,axiom,
    ( c_Fun_Ocomp(X1,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X2,X3,X3) != c_Fun_Oid(X3)
    | c_Fun_Osurj(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2589]) ).

cnf(c_0_2590_0,axiom,
    ( c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(hAPP(X2,X1),X2,X3,X4) = X1
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3)
    | ~ hBOOL(c_in(hAPP(X2,X1),c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2590]) ).

cnf(c_0_2590_1,axiom,
    ( ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3)
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(hAPP(X2,X1),X2,X3,X4) = X1
    | ~ hBOOL(c_in(hAPP(X2,X1),c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2590]) ).

cnf(c_0_2590_2,axiom,
    ( ~ hBOOL(c_in(hAPP(X2,X1),c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3),X3))
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3)
    | c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(hAPP(X2,X1),X2,X3,X4) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2590]) ).

cnf(c_0_2591_0,axiom,
    ( hBOOL(c_in(c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X4,X1,X2,X3),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),X3))
    | hBOOL(hAPP(X4,X5))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2591]) ).

cnf(c_0_2591_1,axiom,
    ( hBOOL(hAPP(X4,X5))
    | hBOOL(c_in(c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X4,X1,X2,X3),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),X3))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2591]) ).

cnf(c_0_2591_2,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | hBOOL(hAPP(X4,X5))
    | hBOOL(c_in(c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X4,X1,X2,X3),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2591]) ).

cnf(c_0_2592_0,axiom,
    ( c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3) = X4
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3)
    | hAPP(X2,hAPP(X4,c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__imp__inv__eq__1__1(X2,X4,X1,X3))) != c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__imp__inv__eq__1__1(X2,X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2592]) ).

cnf(c_0_2592_1,axiom,
    ( ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3)
    | c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3) = X4
    | hAPP(X2,hAPP(X4,c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__imp__inv__eq__1__1(X2,X4,X1,X3))) != c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__imp__inv__eq__1__1(X2,X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2592]) ).

cnf(c_0_2592_2,axiom,
    ( hAPP(X2,hAPP(X4,c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__imp__inv__eq__1__1(X2,X4,X1,X3))) != c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__imp__inv__eq__1__1(X2,X4,X1,X3)
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3)
    | c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2592]) ).

cnf(c_0_2593_0,axiom,
    ( hAPP(X2,hAPP(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1)) = X1
    | ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2593]) ).

cnf(c_0_2593_1,axiom,
    ( ~ hBOOL(c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5))
    | hAPP(X2,hAPP(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2593]) ).

cnf(c_0_2594_0,axiom,
    ( c_Finite__Set_Ocard(X2,X3) = c_Finite__Set_Ocard(X5,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ c_Fun_Oinj__on(X6,X5,X4,X3)
    | ~ c_lessequals(c_Set_Oimage(X6,X5,X4,X3),X2,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ c_Finite__Set_Ofinite(X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2594]) ).

cnf(c_0_2594_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Finite__Set_Ocard(X2,X3) = c_Finite__Set_Ocard(X5,X4)
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ c_Fun_Oinj__on(X6,X5,X4,X3)
    | ~ c_lessequals(c_Set_Oimage(X6,X5,X4,X3),X2,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ c_Finite__Set_Ofinite(X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2594]) ).

cnf(c_0_2594_2,axiom,
    ( ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Finite__Set_Ocard(X2,X3) = c_Finite__Set_Ocard(X5,X4)
    | ~ c_Fun_Oinj__on(X6,X5,X4,X3)
    | ~ c_lessequals(c_Set_Oimage(X6,X5,X4,X3),X2,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ c_Finite__Set_Ofinite(X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2594]) ).

cnf(c_0_2594_3,axiom,
    ( ~ c_Fun_Oinj__on(X6,X5,X4,X3)
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Finite__Set_Ocard(X2,X3) = c_Finite__Set_Ocard(X5,X4)
    | ~ c_lessequals(c_Set_Oimage(X6,X5,X4,X3),X2,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ c_Finite__Set_Ofinite(X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2594]) ).

cnf(c_0_2594_4,axiom,
    ( ~ c_lessequals(c_Set_Oimage(X6,X5,X4,X3),X2,tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X6,X5,X4,X3)
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Finite__Set_Ocard(X2,X3) = c_Finite__Set_Ocard(X5,X4)
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ c_Finite__Set_Ofinite(X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2594]) ).

cnf(c_0_2594_5,axiom,
    ( ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ c_lessequals(c_Set_Oimage(X6,X5,X4,X3),X2,tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X6,X5,X4,X3)
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Finite__Set_Ocard(X2,X3) = c_Finite__Set_Ocard(X5,X4)
    | ~ c_Finite__Set_Ofinite(X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2594]) ).

cnf(c_0_2594_6,axiom,
    ( ~ c_Finite__Set_Ofinite(X5,X4)
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ c_lessequals(c_Set_Oimage(X6,X5,X4,X3),X2,tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X6,X5,X4,X3)
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Finite__Set_Ocard(X2,X3) = c_Finite__Set_Ocard(X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2594]) ).

cnf(c_0_2595_0,axiom,
    ( c_Fun_Obij(c_Fun_Ocomp(X4,X1,X3,X5,X2),X2,X5)
    | ~ c_Fun_Obij(X1,X2,X3)
    | ~ c_Fun_Obij(X4,X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2595]) ).

cnf(c_0_2595_1,axiom,
    ( ~ c_Fun_Obij(X1,X2,X3)
    | c_Fun_Obij(c_Fun_Ocomp(X4,X1,X3,X5,X2),X2,X5)
    | ~ c_Fun_Obij(X4,X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2595]) ).

cnf(c_0_2595_2,axiom,
    ( ~ c_Fun_Obij(X4,X3,X5)
    | ~ c_Fun_Obij(X1,X2,X3)
    | c_Fun_Obij(c_Fun_Ocomp(X4,X1,X3,X5,X2),X2,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2595]) ).

cnf(c_0_2596_0,axiom,
    ( c_Fun_Osurj(c_Fun_Ocomp(X4,X1,X3,X5,X2),X2,X5)
    | ~ c_Fun_Osurj(X1,X2,X3)
    | ~ c_Fun_Osurj(X4,X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2596]) ).

cnf(c_0_2596_1,axiom,
    ( ~ c_Fun_Osurj(X1,X2,X3)
    | c_Fun_Osurj(c_Fun_Ocomp(X4,X1,X3,X5,X2),X2,X5)
    | ~ c_Fun_Osurj(X4,X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2596]) ).

cnf(c_0_2596_2,axiom,
    ( ~ c_Fun_Osurj(X4,X3,X5)
    | ~ c_Fun_Osurj(X1,X2,X3)
    | c_Fun_Osurj(c_Fun_Ocomp(X4,X1,X3,X5,X2),X2,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2596]) ).

cnf(c_0_2597_0,axiom,
    ( c_lessequals(c_Set_Oimage(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X4),X2,X3),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),c_Set_Oimage(X1,X4,X2,X3)),tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2597]) ).

cnf(c_0_2597_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_lessequals(c_Set_Oimage(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X4),X2,X3),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),c_Set_Oimage(X1,X4,X2,X3)),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2597]) ).

cnf(c_0_2598_0,axiom,
    ( hBOOL(c_in(X4,X5,X2))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ hBOOL(c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2598]) ).

cnf(c_0_2598_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | hBOOL(c_in(X4,X5,X2))
    | ~ hBOOL(c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2598]) ).

cnf(c_0_2598_2,axiom,
    ( ~ hBOOL(c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | hBOOL(c_in(X4,X5,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2598]) ).

cnf(c_0_2599_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2599]) ).

cnf(c_0_2599_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
    | c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2599]) ).

cnf(c_0_2600_0,axiom,
    ( X1 = X2
    | ~ c_Typedef_Otype__definition(X3,X4,X5,X6,X7)
    | ~ hBOOL(c_in(X1,X5,X7))
    | ~ hBOOL(c_in(X2,X5,X7))
    | hAPP(X4,X1) != hAPP(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2600]) ).

cnf(c_0_2600_1,axiom,
    ( ~ c_Typedef_Otype__definition(X3,X4,X5,X6,X7)
    | X1 = X2
    | ~ hBOOL(c_in(X1,X5,X7))
    | ~ hBOOL(c_in(X2,X5,X7))
    | hAPP(X4,X1) != hAPP(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2600]) ).

cnf(c_0_2600_2,axiom,
    ( ~ hBOOL(c_in(X1,X5,X7))
    | ~ c_Typedef_Otype__definition(X3,X4,X5,X6,X7)
    | X1 = X2
    | ~ hBOOL(c_in(X2,X5,X7))
    | hAPP(X4,X1) != hAPP(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2600]) ).

cnf(c_0_2600_3,axiom,
    ( ~ hBOOL(c_in(X2,X5,X7))
    | ~ hBOOL(c_in(X1,X5,X7))
    | ~ c_Typedef_Otype__definition(X3,X4,X5,X6,X7)
    | X1 = X2
    | hAPP(X4,X1) != hAPP(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2600]) ).

cnf(c_0_2600_4,axiom,
    ( hAPP(X4,X1) != hAPP(X4,X2)
    | ~ hBOOL(c_in(X2,X5,X7))
    | ~ hBOOL(c_in(X1,X5,X7))
    | ~ c_Typedef_Otype__definition(X3,X4,X5,X6,X7)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2600]) ).

cnf(c_0_2601_0,axiom,
    ( c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X1,X3,X2,X2) = c_Fun_Oid(X2)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2601]) ).

cnf(c_0_2601_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_Fun_Ocomp(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X1,X3,X2,X2) = c_Fun_Oid(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2601]) ).

cnf(c_0_2602_0,axiom,
    ( c_lessequals(X4,X5,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2602]) ).

cnf(c_0_2602_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_lessequals(X4,X5,tc_fun(X2,tc_bool))
    | ~ c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2602]) ).

cnf(c_0_2602_2,axiom,
    ( ~ c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_lessequals(X4,X5,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2602]) ).

cnf(c_0_2603_0,axiom,
    ( c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) = X3
    | ~ c_Typedef_Otype__definition(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2603]) ).

cnf(c_0_2603_1,axiom,
    ( ~ c_Typedef_Otype__definition(X1,X2,X3,X4,X5)
    | c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2603]) ).

cnf(c_0_2604_0,axiom,
    ( c_Set_Oimage(X2,X3,X5,X4) = c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool))
    | ~ c_Typedef_Otype__definition(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2604]) ).

cnf(c_0_2604_1,axiom,
    ( ~ c_Typedef_Otype__definition(X1,X2,X3,X4,X5)
    | c_Set_Oimage(X2,X3,X5,X4) = c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2604]) ).

cnf(c_0_2605_0,axiom,
    ( c_Set_Oimage(X1,X2,X4,X5) = X3
    | ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2605]) ).

cnf(c_0_2605_1,axiom,
    ( ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5)
    | c_Set_Oimage(X1,X2,X4,X5) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2605]) ).

cnf(c_0_2606_0,axiom,
    ( c_Fun_Oinj__on(X1,X2,X4,X5)
    | ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2606]) ).

cnf(c_0_2606_1,axiom,
    ( ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5)
    | c_Fun_Oinj__on(X1,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2606]) ).

cnf(c_0_2607_0,axiom,
    ( hAPP(X1,hAPP(X2,X6)) = X6
    | ~ c_Typedef_Otype__definition(X1,X2,X3,X4,X5)
    | ~ hBOOL(c_in(X6,X3,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2607]) ).

cnf(c_0_2607_1,axiom,
    ( ~ c_Typedef_Otype__definition(X1,X2,X3,X4,X5)
    | hAPP(X1,hAPP(X2,X6)) = X6
    | ~ hBOOL(c_in(X6,X3,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2607]) ).

cnf(c_0_2607_2,axiom,
    ( ~ hBOOL(c_in(X6,X3,X5))
    | ~ c_Typedef_Otype__definition(X1,X2,X3,X4,X5)
    | hAPP(X1,hAPP(X2,X6)) = X6 ),
    inference(literals_permutation,[status(thm)],[c_0_2607]) ).

cnf(c_0_2608_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X5,X6,tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2608]) ).

cnf(c_0_2608_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X5,X6,tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2608]) ).

cnf(c_0_2608_2,axiom,
    ( ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X5,X6,tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2608]) ).

cnf(c_0_2608_3,axiom,
    ( ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X5,X6,tc_fun(X3,tc_bool)),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2608]) ).

cnf(c_0_2609_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X5,X6,tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2609]) ).

cnf(c_0_2609_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X5,X6,tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2609]) ).

cnf(c_0_2609_2,axiom,
    ( ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X5,X6,tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2609]) ).

cnf(c_0_2609_3,axiom,
    ( ~ c_lessequals(X6,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X5,X3,X4),c_Set_Oimage(X1,X6,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X5,X6,tc_fun(X3,tc_bool)),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2609]) ).

cnf(c_0_2610_0,axiom,
    ( c_Fun_Obij__betw(X1,X2,c_Set_Oimage(X1,X2,X3,X4),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2610]) ).

cnf(c_0_2610_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Fun_Obij__betw(X1,X2,c_Set_Oimage(X1,X2,X3,X4),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2610]) ).

cnf(c_0_2611_0,axiom,
    ( hBOOL(c_in(hAPP(X1,X6),X3,X5))
    | ~ c_Typedef_Otype__definition(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2611]) ).

cnf(c_0_2611_1,axiom,
    ( ~ c_Typedef_Otype__definition(X1,X2,X3,X4,X5)
    | hBOOL(c_in(hAPP(X1,X6),X3,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2611]) ).

cnf(c_0_2612_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),c_Set_Oimage(X1,X4,X2,X3)),c_Set_Oimage(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X4),X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2612]) ).

cnf(c_0_2612_1,axiom,
    ( ~ c_Fun_Osurj(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),c_Set_Oimage(X1,X4,X2,X3)),c_Set_Oimage(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X4),X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2612]) ).

cnf(c_0_2613_0,axiom,
    ( c_Set_Oimage(X1,c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X4,X3,X2),X2,X3) = X4
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2613]) ).

cnf(c_0_2613_1,axiom,
    ( ~ c_Fun_Osurj(X1,X2,X3)
    | c_Set_Oimage(X1,c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X4,X3,X2),X2,X3) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2613]) ).

cnf(c_0_2614_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X4,c_SetInterval_Oord__class_OatLeastLessThan(X1,X3,tc_nat),tc_nat,X5),c_Finite__Set_Osetsum(X4,c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,tc_nat),tc_nat,X5),X5) = c_Finite__Set_Osetsum(X4,c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,tc_nat),tc_nat,X5)
    | ~ c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(X2,X3,tc_nat)
    | ~ class_OrderedGroup_Oab__group__add(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2614]) ).

cnf(c_0_2614_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X4,c_SetInterval_Oord__class_OatLeastLessThan(X1,X3,tc_nat),tc_nat,X5),c_Finite__Set_Osetsum(X4,c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,tc_nat),tc_nat,X5),X5) = c_Finite__Set_Osetsum(X4,c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,tc_nat),tc_nat,X5)
    | ~ c_lessequals(X2,X3,tc_nat)
    | ~ class_OrderedGroup_Oab__group__add(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2614]) ).

cnf(c_0_2614_2,axiom,
    ( ~ c_lessequals(X2,X3,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat)
    | c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X4,c_SetInterval_Oord__class_OatLeastLessThan(X1,X3,tc_nat),tc_nat,X5),c_Finite__Set_Osetsum(X4,c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,tc_nat),tc_nat,X5),X5) = c_Finite__Set_Osetsum(X4,c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,tc_nat),tc_nat,X5)
    | ~ class_OrderedGroup_Oab__group__add(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2614]) ).

cnf(c_0_2614_3,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X5)
    | ~ c_lessequals(X2,X3,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat)
    | c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X4,c_SetInterval_Oord__class_OatLeastLessThan(X1,X3,tc_nat),tc_nat,X5),c_Finite__Set_Osetsum(X4,c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,tc_nat),tc_nat,X5),X5) = c_Finite__Set_Osetsum(X4,c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,tc_nat),tc_nat,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2614]) ).

cnf(c_0_2615_0,axiom,
    ( c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2615]) ).

cnf(c_0_2615_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool))
    | ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2615]) ).

cnf(c_0_2615_2,axiom,
    ( ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2615]) ).

cnf(c_0_2616_0,axiom,
    ( X1 = X2
    | ~ c_Typedef_Otype__definition(X3,X4,X5,X6,X7)
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2616]) ).

cnf(c_0_2616_1,axiom,
    ( ~ c_Typedef_Otype__definition(X3,X4,X5,X6,X7)
    | X1 = X2
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2616]) ).

cnf(c_0_2616_2,axiom,
    ( hAPP(X3,X1) != hAPP(X3,X2)
    | ~ c_Typedef_Otype__definition(X3,X4,X5,X6,X7)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2616]) ).

cnf(c_0_2617_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) = c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X5,tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2617]) ).

cnf(c_0_2617_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) = c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X5,tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2617]) ).

cnf(c_0_2618_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2618]) ).

cnf(c_0_2618_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) = c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2618]) ).

cnf(c_0_2619_0,axiom,
    ( hAPP(X2,hAPP(X1,X6)) = X6
    | ~ c_Typedef_Otype__definition(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2619]) ).

cnf(c_0_2619_1,axiom,
    ( ~ c_Typedef_Otype__definition(X1,X2,X3,X4,X5)
    | hAPP(X2,hAPP(X1,X6)) = X6 ),
    inference(literals_permutation,[status(thm)],[c_0_2619]) ).

cnf(c_0_2620_0,axiom,
    ( c_Finite__Set_Ocard(X2,X4) = c_Finite__Set_Ocard(X3,X5)
    | ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2620]) ).

cnf(c_0_2620_1,axiom,
    ( ~ c_Fun_Obij__betw(X1,X2,X3,X4,X5)
    | c_Finite__Set_Ocard(X2,X4) = c_Finite__Set_Ocard(X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2620]) ).

cnf(c_0_2621_0,axiom,
    ( c_Fun_Ocomp(X1,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X2,X3,X3) = c_Fun_Oid(X3)
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2621]) ).

cnf(c_0_2621_1,axiom,
    ( ~ c_Fun_Osurj(X1,X2,X3)
    | c_Fun_Ocomp(X1,c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X2,X3,X3) = c_Fun_Oid(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2621]) ).

cnf(c_0_2622_0,axiom,
    ( hBOOL(c_in(hAPP(X2,X1),X3,X5))
    | ~ hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2622]) ).

cnf(c_0_2622_1,axiom,
    ( ~ hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4))
    | hBOOL(c_in(hAPP(X2,X1),X3,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2622]) ).

cnf(c_0_2623_0,axiom,
    ( hBOOL(c_in(hAPP(X2,X1),X3,X5))
    | ~ hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2623]) ).

cnf(c_0_2623_1,axiom,
    ( ~ hBOOL(c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4))
    | hBOOL(c_in(hAPP(X2,X1),X3,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2623]) ).

cnf(c_0_2624_0,axiom,
    ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),c_Set_Oimage(X1,X4,X2,X3),X3,X2) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2624]) ).

cnf(c_0_2624_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),c_Set_Oimage(X1,X4,X2,X3),X3,X2) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2624]) ).

cnf(c_0_2625_0,axiom,
    ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),c_Set_Oimage(X1,X4,X2,X3),X3,X2) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2625]) ).

cnf(c_0_2625_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),c_Set_Oimage(X1,X4,X2,X3),X3,X2) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2625]) ).

cnf(c_0_2626_0,axiom,
    ( hBOOL(c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ hBOOL(c_in(X4,X5,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2626]) ).

cnf(c_0_2626_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | hBOOL(c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3))
    | ~ hBOOL(c_in(X4,X5,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2626]) ).

cnf(c_0_2626_2,axiom,
    ( ~ hBOOL(c_in(X4,X5,X2))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | hBOOL(c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2626]) ).

cnf(c_0_2627_0,axiom,
    ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),c_Set_Oimage(X1,X5,X3,X4),X4,X3) = X5
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2627]) ).

cnf(c_0_2627_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Set_Oimage(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),c_Set_Oimage(X1,X5,X3,X4),X4,X3) = X5
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2627]) ).

cnf(c_0_2627_2,axiom,
    ( ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Set_Oimage(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),c_Set_Oimage(X1,X5,X3,X4),X4,X3) = X5 ),
    inference(literals_permutation,[status(thm)],[c_0_2627]) ).

cnf(c_0_2628_0,axiom,
    ( hBOOL(hAPP(X2,hAPP(X1,X5)))
    | ~ hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2628]) ).

cnf(c_0_2628_1,axiom,
    ( ~ hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))
    | hBOOL(hAPP(X2,hAPP(X1,X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_2628]) ).

cnf(c_0_2629_0,axiom,
    ( c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_lessequals(X4,X5,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2629]) ).

cnf(c_0_2629_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2629]) ).

cnf(c_0_2629_2,axiom,
    ( ~ c_lessequals(X4,X5,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2629]) ).

cnf(c_0_2630_0,axiom,
    ( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1,X5,X4)
    | ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2630]) ).

cnf(c_0_2630_1,axiom,
    ( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
    | c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1,X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2630]) ).

cnf(c_0_2631_0,axiom,
    ( c_Set_Oimage(c_Fun_Othe__inv__into(X2,X1,X3,X4),c_Set_Oimage(X1,X2,X3,X4),X4,X3) = X2
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2631]) ).

cnf(c_0_2631_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Set_Oimage(c_Fun_Othe__inv__into(X2,X1,X3,X4),c_Set_Oimage(X1,X2,X3,X4),X4,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2631]) ).

cnf(c_0_2632_0,axiom,
    ( c_Fun_Oinj__on(c_Fun_Othe__inv__into(X2,X1,X3,X4),c_Set_Oimage(X1,X2,X3,X4),X4,X3)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2632]) ).

cnf(c_0_2632_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Fun_Oinj__on(c_Fun_Othe__inv__into(X2,X1,X3,X4),c_Set_Oimage(X1,X2,X3,X4),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2632]) ).

cnf(c_0_2633_0,axiom,
    ( c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2,X5) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X4,X1,X2,X5),hAPP(X4,X3),X5)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(c_in(X3,X1,X2))
    | ~ class_OrderedGroup_Oab__group__add(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2633]) ).

cnf(c_0_2633_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2,X5) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X4,X1,X2,X5),hAPP(X4,X3),X5)
    | ~ hBOOL(c_in(X3,X1,X2))
    | ~ class_OrderedGroup_Oab__group__add(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2633]) ).

cnf(c_0_2633_2,axiom,
    ( ~ hBOOL(c_in(X3,X1,X2))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2,X5) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X4,X1,X2,X5),hAPP(X4,X3),X5)
    | ~ class_OrderedGroup_Oab__group__add(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2633]) ).

cnf(c_0_2633_3,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X5)
    | ~ hBOOL(c_in(X3,X1,X2))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2,X5) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X4,X1,X2,X5),hAPP(X4,X3),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2633]) ).

cnf(c_0_2634_0,axiom,
    ( c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2,X5) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X4,X1,X2,X5),hAPP(X4,X3),X5)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(c_in(X3,X1,X2))
    | ~ class_Ring__and__Field_Oring(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2634]) ).

cnf(c_0_2634_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2,X5) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X4,X1,X2,X5),hAPP(X4,X3),X5)
    | ~ hBOOL(c_in(X3,X1,X2))
    | ~ class_Ring__and__Field_Oring(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2634]) ).

cnf(c_0_2634_2,axiom,
    ( ~ hBOOL(c_in(X3,X1,X2))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2,X5) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X4,X1,X2,X5),hAPP(X4,X3),X5)
    | ~ class_Ring__and__Field_Oring(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2634]) ).

cnf(c_0_2634_3,axiom,
    ( ~ class_Ring__and__Field_Oring(X5)
    | ~ hBOOL(c_in(X3,X1,X2))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2,X5) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X4,X1,X2,X5),hAPP(X4,X3),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2634]) ).

cnf(c_0_2635_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X4,X1,X2,X5),c_Finite__Set_Osetsum(X4,X3,X2,X5),X5) = c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2,X5)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
    | ~ class_OrderedGroup_Oab__group__add(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2635]) ).

cnf(c_0_2635_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X4,X1,X2,X5),c_Finite__Set_Osetsum(X4,X3,X2,X5),X5) = c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2,X5)
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
    | ~ class_OrderedGroup_Oab__group__add(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2635]) ).

cnf(c_0_2635_2,axiom,
    ( ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X4,X1,X2,X5),c_Finite__Set_Osetsum(X4,X3,X2,X5),X5) = c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2,X5)
    | ~ class_OrderedGroup_Oab__group__add(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2635]) ).

cnf(c_0_2635_3,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X5)
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(X4,X1,X2,X5),c_Finite__Set_Osetsum(X4,X3,X2,X5),X5) = c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2635]) ).

cnf(c_0_2636_0,axiom,
    ( c_Set_Oimage(X3,X1,X2,X2) = X1
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(c_Set_Oimage(X3,X1,X2,X2),X1,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X3,X1,X2,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2636]) ).

cnf(c_0_2636_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Set_Oimage(X3,X1,X2,X2) = X1
    | ~ c_lessequals(c_Set_Oimage(X3,X1,X2,X2),X1,tc_fun(X2,tc_bool))
    | ~ c_Fun_Oinj__on(X3,X1,X2,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2636]) ).

cnf(c_0_2636_2,axiom,
    ( ~ c_lessequals(c_Set_Oimage(X3,X1,X2,X2),X1,tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Set_Oimage(X3,X1,X2,X2) = X1
    | ~ c_Fun_Oinj__on(X3,X1,X2,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2636]) ).

cnf(c_0_2636_3,axiom,
    ( ~ c_Fun_Oinj__on(X3,X1,X2,X2)
    | ~ c_lessequals(c_Set_Oimage(X3,X1,X2,X2),X1,tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Set_Oimage(X3,X1,X2,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2636]) ).

cnf(c_0_2637_0,axiom,
    ( c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Obij(X1,X2,X3)
    | ~ c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2637]) ).

cnf(c_0_2637_1,axiom,
    ( ~ c_Fun_Obij(X1,X2,X3)
    | c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2637]) ).

cnf(c_0_2637_2,axiom,
    ( ~ c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool))
    | ~ c_Fun_Obij(X1,X2,X3)
    | c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2637]) ).

cnf(c_0_2638_0,axiom,
    ( c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool))
    | ~ c_Fun_Obij(X1,X2,X3)
    | ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2638]) ).

cnf(c_0_2638_1,axiom,
    ( ~ c_Fun_Obij(X1,X2,X3)
    | c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool))
    | ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2638]) ).

cnf(c_0_2638_2,axiom,
    ( ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Obij(X1,X2,X3)
    | c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2638]) ).

cnf(c_0_2639_0,axiom,
    ( c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_Fun_Osurj(X1,X2,X3)
    | ~ c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2639]) ).

cnf(c_0_2639_1,axiom,
    ( ~ c_Fun_Osurj(X1,X2,X3)
    | c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2639]) ).

cnf(c_0_2639_2,axiom,
    ( ~ c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool))
    | ~ c_Fun_Osurj(X1,X2,X3)
    | c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2639]) ).

cnf(c_0_2640_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(c_in(X3,X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2640]) ).

cnf(c_0_2640_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | ~ hBOOL(c_in(X3,X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2640]) ).

cnf(c_0_2640_2,axiom,
    ( ~ hBOOL(c_in(X3,X1,X2))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2),c_Finite__Set_Ocard(X1,X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2640]) ).

cnf(c_0_2641_0,axiom,
    ( c_lessequals(c_Finite__Set_Ocard(X2,X3),c_Finite__Set_Ocard(X5,X4),tc_nat)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ c_Finite__Set_Ofinite(X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2641]) ).

cnf(c_0_2641_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_lessequals(c_Finite__Set_Ocard(X2,X3),c_Finite__Set_Ocard(X5,X4),tc_nat)
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ c_Finite__Set_Ofinite(X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2641]) ).

cnf(c_0_2641_2,axiom,
    ( ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_lessequals(c_Finite__Set_Ocard(X2,X3),c_Finite__Set_Ocard(X5,X4),tc_nat)
    | ~ c_Finite__Set_Ofinite(X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2641]) ).

cnf(c_0_2641_3,axiom,
    ( ~ c_Finite__Set_Ofinite(X5,X4)
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_lessequals(c_Finite__Set_Ocard(X2,X3),c_Finite__Set_Ocard(X5,X4),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2641]) ).

cnf(c_0_2642_0,axiom,
    ( c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(X1,X2),X1,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat),X2,tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2642]) ).

cnf(c_0_2642_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(X1,X2),X1,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat),X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2642]) ).

cnf(c_0_2643_0,axiom,
    ( c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__nat__finite__1__1(X1,X2),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat),X1,tc_nat,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2643]) ).

cnf(c_0_2643_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__nat__finite__1__1(X1,X2),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat),X1,tc_nat,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2643]) ).

cnf(c_0_2644_0,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(c_FuncSet_Orestrict(X1,X2,X3,X4),X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2644]) ).

cnf(c_0_2644_1,axiom,
    ( ~ c_Fun_Oinj__on(c_FuncSet_Orestrict(X1,X2,X3,X4),X2,X3,X4)
    | c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2644]) ).

cnf(c_0_2645_0,axiom,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X4,X5)
    | c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2645]) ).

cnf(c_0_2645_1,axiom,
    ( ~ c_Fun_Oinj__on(X3,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X4,X5)
    | X1 = X2
    | c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2645]) ).

cnf(c_0_2645_2,axiom,
    ( c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5)
    | ~ c_Fun_Oinj__on(X3,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X4,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2645]) ).

cnf(c_0_2646_0,axiom,
    ( c_List_Omap(X1,c_List_OremoveAll(X4,X5,X2),X2,X3) = c_List_OremoveAll(hAPP(X1,X4),c_List_Omap(X1,X5,X2,X3),X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2646]) ).

cnf(c_0_2646_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_List_Omap(X1,c_List_OremoveAll(X4,X5,X2),X2,X3) = c_List_OremoveAll(hAPP(X1,X4),c_List_Omap(X1,X5,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2646]) ).

cnf(c_0_2647_0,axiom,
    ( c_Finite__Set_Osetsum(c_Fun_Oid(X4),c_Set_Oimage(X1,X2,X3,X4),X4,X4) = c_Finite__Set_Osetsum(X1,X2,X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2647]) ).

cnf(c_0_2647_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Finite__Set_Osetsum(c_Fun_Oid(X4),c_Set_Oimage(X1,X2,X3,X4),X4,X4) = c_Finite__Set_Osetsum(X1,X2,X3,X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2647]) ).

cnf(c_0_2647_2,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Finite__Set_Osetsum(c_Fun_Oid(X4),c_Set_Oimage(X1,X2,X3,X4),X4,X4) = c_Finite__Set_Osetsum(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2647]) ).

cnf(c_0_2648_0,axiom,
    ( c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2)) = c_Finite__Set_Ocard(X1,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(c_in(X3,X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2648]) ).

cnf(c_0_2648_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2)) = c_Finite__Set_Ocard(X1,X2)
    | ~ hBOOL(c_in(X3,X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2648]) ).

cnf(c_0_2648_2,axiom,
    ( ~ hBOOL(c_in(X3,X1,X2))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2)) = c_Finite__Set_Ocard(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2648]) ).

cnf(c_0_2649_0,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X2,X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2649]) ).

cnf(c_0_2649_1,axiom,
    ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X2,X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2649]) ).

cnf(c_0_2649_2,axiom,
    ( ~ hBOOL(c_in(X2,X1,X3))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2649]) ).

cnf(c_0_2650_0,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X2,X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2650]) ).

cnf(c_0_2650_1,axiom,
    ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X2,X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2650]) ).

cnf(c_0_2650_2,axiom,
    ( ~ hBOOL(c_in(X2,X1,X3))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2650]) ).

cnf(c_0_2651_0,axiom,
    ( hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5))
    | ~ hBOOL(c_in(hAPP(X1,X2),X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2651]) ).

cnf(c_0_2651_1,axiom,
    ( ~ hBOOL(c_in(hAPP(X1,X2),X3,X4))
    | hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2651]) ).

cnf(c_0_2652_0,axiom,
    ( hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5))
    | ~ hBOOL(c_in(hAPP(X1,X2),X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2652]) ).

cnf(c_0_2652_1,axiom,
    ( ~ hBOOL(c_in(hAPP(X1,X2),X3,X4))
    | hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2652]) ).

cnf(c_0_2653_0,axiom,
    ( hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5))
    | ~ hBOOL(c_in(hAPP(X1,X2),X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2653]) ).

cnf(c_0_2653_1,axiom,
    ( ~ hBOOL(c_in(hAPP(X1,X2),X3,X4))
    | hBOOL(c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2653]) ).

cnf(c_0_2654_0,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2654]) ).

cnf(c_0_2654_1,axiom,
    ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2654]) ).

cnf(c_0_2654_2,axiom,
    ( ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2654]) ).

cnf(c_0_2655_0,axiom,
    ( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))
    | ~ hBOOL(c_in(X2,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2655]) ).

cnf(c_0_2655_1,axiom,
    ( ~ hBOOL(c_in(X2,X3,X4))
    | hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2655]) ).

cnf(c_0_2656_0,axiom,
    ( hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5))
    | ~ hBOOL(c_in(X2,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2656]) ).

cnf(c_0_2656_1,axiom,
    ( ~ hBOOL(c_in(X2,X3,X4))
    | hBOOL(c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2656]) ).

cnf(c_0_2657_0,axiom,
    ( hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2657]) ).

cnf(c_0_2657_1,axiom,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2657]) ).

cnf(c_0_2658_0,axiom,
    ( hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2658]) ).

cnf(c_0_2658_1,axiom,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | hBOOL(c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2658]) ).

cnf(c_0_2659_0,axiom,
    ( c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2)) = c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2659]) ).

cnf(c_0_2659_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2)) = c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2659]) ).

cnf(c_0_2660_0,axiom,
    ( hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X4)) = X4
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2660]) ).

cnf(c_0_2660_1,axiom,
    ( ~ c_Fun_Osurj(X1,X2,X3)
    | hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X4)) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2660]) ).

cnf(c_0_2661_0,axiom,
    ( c_lessequals(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2661]) ).

cnf(c_0_2661_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_lessequals(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2),c_Finite__Set_Ocard(X1,X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2661]) ).

cnf(c_0_2662_0,axiom,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | c_List_Omap(X3,X1,X4,X5) != c_List_Omap(X3,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2662]) ).

cnf(c_0_2662_1,axiom,
    ( ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | X1 = X2
    | c_List_Omap(X3,X1,X4,X5) != c_List_Omap(X3,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2662]) ).

cnf(c_0_2662_2,axiom,
    ( c_List_Omap(X3,X1,X4,X5) != c_List_Omap(X3,X2,X4,X5)
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2662]) ).

cnf(c_0_2663_0,axiom,
    ( X4 = X5
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_List_Omap(X1,X4,X2,X3) != c_List_Omap(X1,X5,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2663]) ).

cnf(c_0_2663_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | X4 = X5
    | c_List_Omap(X1,X4,X2,X3) != c_List_Omap(X1,X5,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2663]) ).

cnf(c_0_2663_2,axiom,
    ( c_List_Omap(X1,X4,X2,X3) != c_List_Omap(X1,X5,X2,X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | X4 = X5 ),
    inference(literals_permutation,[status(thm)],[c_0_2663]) ).

cnf(c_0_2664_0,axiom,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2664]) ).

cnf(c_0_2664_1,axiom,
    ( ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | X1 = X2
    | c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2664]) ).

cnf(c_0_2664_2,axiom,
    ( c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5)
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2664]) ).

cnf(c_0_2665_0,axiom,
    ( hBOOL(c_in(hAPP(X1,X6),X5,X4))
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | ~ hBOOL(c_in(X6,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2665]) ).

cnf(c_0_2665_1,axiom,
    ( ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | hBOOL(c_in(hAPP(X1,X6),X5,X4))
    | ~ hBOOL(c_in(X6,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2665]) ).

cnf(c_0_2665_2,axiom,
    ( ~ hBOOL(c_in(X6,X2,X3))
    | ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
    | hBOOL(c_in(hAPP(X1,X6),X5,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2665]) ).

cnf(c_0_2666_0,axiom,
    ( c_Set_Ovimage(X1,c_Set_Oimage(X1,X4,X2,X3),X2,X3) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2666]) ).

cnf(c_0_2666_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_Set_Ovimage(X1,c_Set_Oimage(X1,X4,X2,X3),X2,X3) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2666]) ).

cnf(c_0_2667_0,axiom,
    ( hBOOL(c_in(X3,X1,X2))
    | c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2,X5) = c_Finite__Set_Osetsum(X4,X1,X2,X5)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ class_OrderedGroup_Oab__group__add(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2667]) ).

cnf(c_0_2667_1,axiom,
    ( c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2,X5) = c_Finite__Set_Osetsum(X4,X1,X2,X5)
    | hBOOL(c_in(X3,X1,X2))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ class_OrderedGroup_Oab__group__add(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2667]) ).

cnf(c_0_2667_2,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2,X5) = c_Finite__Set_Osetsum(X4,X1,X2,X5)
    | hBOOL(c_in(X3,X1,X2))
    | ~ class_OrderedGroup_Oab__group__add(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2667]) ).

cnf(c_0_2667_3,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X5)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Osetsum(X4,c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2,X5) = c_Finite__Set_Osetsum(X4,X1,X2,X5)
    | hBOOL(c_in(X3,X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2667]) ).

cnf(c_0_2668_0,axiom,
    ( c_Finite__Set_Ofinite(X2,X3)
    | ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2668]) ).

cnf(c_0_2668_1,axiom,
    ( ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
    | c_Finite__Set_Ofinite(X2,X3)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2668]) ).

cnf(c_0_2668_2,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Finite__Set_Ofinite(c_Set_Oimage(X1,X2,X3,X4),X4)
    | c_Finite__Set_Ofinite(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2668]) ).

cnf(c_0_2669_0,axiom,
    ( c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2669]) ).

cnf(c_0_2669_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2669]) ).

cnf(c_0_2670_0,axiom,
    ( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
    | ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2670]) ).

cnf(c_0_2670_1,axiom,
    ( ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
    | c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2670]) ).

cnf(c_0_2671_0,axiom,
    ( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2671]) ).

cnf(c_0_2671_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2671]) ).

cnf(c_0_2672_0,axiom,
    ( v_thesis____
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)
    | c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) != c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2672]) ).

cnf(c_0_2672_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)
    | v_thesis____
    | c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) != c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2672]) ).

cnf(c_0_2672_2,axiom,
    ( c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) != c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)
    | v_thesis____ ),
    inference(literals_permutation,[status(thm)],[c_0_2672]) ).

cnf(c_0_2673_0,axiom,
    ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X4,X3,X2) = c_Set_Ovimage(X1,X4,X2,X3)
    | ~ c_Fun_Obij(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2673]) ).

cnf(c_0_2673_1,axiom,
    ( ~ c_Fun_Obij(X1,X2,X3)
    | c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X4,X3,X2) = c_Set_Ovimage(X1,X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2673]) ).

cnf(c_0_2674_0,axiom,
    ( c_Fun_Oinj__on(X3,X1,X2,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X1,c_Set_Oimage(X3,X1,X2,X2),tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2674]) ).

cnf(c_0_2674_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Fun_Oinj__on(X3,X1,X2,X2)
    | ~ c_lessequals(X1,c_Set_Oimage(X3,X1,X2,X2),tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2674]) ).

cnf(c_0_2674_2,axiom,
    ( ~ c_lessequals(X1,c_Set_Oimage(X3,X1,X2,X2),tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Fun_Oinj__on(X3,X1,X2,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2674]) ).

cnf(c_0_2675_0,axiom,
    ( hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3))
    | ~ hBOOL(hAPP(X1,hAPP(X2,X3))) ),
    inference(literals_permutation,[status(thm)],[c_0_2675]) ).

cnf(c_0_2675_1,axiom,
    ( ~ hBOOL(hAPP(X1,hAPP(X2,X3)))
    | hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2675]) ).

cnf(c_0_2676_0,axiom,
    ( c_Fun_Oinj__on(c_FuncSet_Orestrict(X1,X2,X3,X4),X2,X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2676]) ).

cnf(c_0_2676_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Fun_Oinj__on(c_FuncSet_Orestrict(X1,X2,X3,X4),X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2676]) ).

cnf(c_0_2677_0,axiom,
    ( c_Fun_Osurj(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X3,X2)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2677]) ).

cnf(c_0_2677_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_Fun_Osurj(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2677]) ).

cnf(c_0_2678_0,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | ~ hBOOL(c_in(X2,X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2678]) ).

cnf(c_0_2678_1,axiom,
    ( ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
    | ~ hBOOL(c_in(X2,X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2678]) ).

cnf(c_0_2678_2,axiom,
    ( ~ hBOOL(c_in(X2,X1,X4))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2678]) ).

cnf(c_0_2679_0,axiom,
    ( c_lessequals(c_Finite__Set_Ocard(c_Set_Oimage(X3,X1,X2,X4),X4),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2679]) ).

cnf(c_0_2679_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_lessequals(c_Finite__Set_Ocard(c_Set_Oimage(X3,X1,X2,X4),X4),c_Finite__Set_Ocard(X1,X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2679]) ).

cnf(c_0_2680_0,axiom,
    ( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),hAPP(X2,X4)) = X4
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2680]) ).

cnf(c_0_2680_1,axiom,
    ( ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3)
    | hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),hAPP(X2,X4)) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2680]) ).

cnf(c_0_2681_0,axiom,
    ( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),hAPP(X1,X4)) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2681]) ).

cnf(c_0_2681_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),hAPP(X1,X4)) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2681]) ).

cnf(c_0_2682_0,axiom,
    ( hAPP(c_Fun_Othe__inv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),hAPP(X1,X4)) = X4
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2682]) ).

cnf(c_0_2682_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | hAPP(c_Fun_Othe__inv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),hAPP(X1,X4)) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2682]) ).

cnf(c_0_2683_0,axiom,
    ( hAPP(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),hAPP(X1,X5)) = X5
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ hBOOL(c_in(X5,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2683]) ).

cnf(c_0_2683_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | hAPP(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),hAPP(X1,X5)) = X5
    | ~ hBOOL(c_in(X5,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2683]) ).

cnf(c_0_2683_2,axiom,
    ( ~ hBOOL(c_in(X5,X2,X3))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | hAPP(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),hAPP(X1,X5)) = X5 ),
    inference(literals_permutation,[status(thm)],[c_0_2683]) ).

cnf(c_0_2684_0,axiom,
    ( hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),hAPP(X2,X5)) = X5
    | ~ c_Fun_Oinj__on(X2,X1,X3,X4)
    | ~ hBOOL(c_in(X5,X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2684]) ).

cnf(c_0_2684_1,axiom,
    ( ~ c_Fun_Oinj__on(X2,X1,X3,X4)
    | hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),hAPP(X2,X5)) = X5
    | ~ hBOOL(c_in(X5,X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2684]) ).

cnf(c_0_2684_2,axiom,
    ( ~ hBOOL(c_in(X5,X1,X3))
    | ~ c_Fun_Oinj__on(X2,X1,X3,X4)
    | hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),hAPP(X2,X5)) = X5 ),
    inference(literals_permutation,[status(thm)],[c_0_2684]) ).

cnf(c_0_2685_0,axiom,
    ( hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),hAPP(X1,X5)) = X5
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ hBOOL(c_in(X5,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2685]) ).

cnf(c_0_2685_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),hAPP(X1,X5)) = X5
    | ~ hBOOL(c_in(X5,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2685]) ).

cnf(c_0_2685_2,axiom,
    ( ~ hBOOL(c_in(X5,X2,X3))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),hAPP(X1,X5)) = X5 ),
    inference(literals_permutation,[status(thm)],[c_0_2685]) ).

cnf(c_0_2686_0,axiom,
    ( hAPP(c_Fun_Othe__inv__into(X2,X4,X3,X5),hAPP(X4,X1)) = X1
    | ~ hBOOL(c_in(X1,X2,X3))
    | ~ c_Fun_Oinj__on(X4,X2,X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2686]) ).

cnf(c_0_2686_1,axiom,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | hAPP(c_Fun_Othe__inv__into(X2,X4,X3,X5),hAPP(X4,X1)) = X1
    | ~ c_Fun_Oinj__on(X4,X2,X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2686]) ).

cnf(c_0_2686_2,axiom,
    ( ~ c_Fun_Oinj__on(X4,X2,X3,X5)
    | ~ hBOOL(c_in(X1,X2,X3))
    | hAPP(c_Fun_Othe__inv__into(X2,X4,X3,X5),hAPP(X4,X1)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2686]) ).

cnf(c_0_2687_0,axiom,
    ( c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) != c_Finite__Set_Ocard(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2687]) ).

cnf(c_0_2687_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X2,X3)
    | c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) != c_Finite__Set_Ocard(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2687]) ).

cnf(c_0_2687_2,axiom,
    ( c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) != c_Finite__Set_Ocard(X2,X3)
    | ~ c_Finite__Set_Ofinite(X2,X3)
    | c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2687]) ).

cnf(c_0_2688_0,axiom,
    ( c_Set_Oimage(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X4),X2,X3) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),c_Set_Oimage(X1,X4,X2,X3))
    | ~ c_Fun_Obij(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2688]) ).

cnf(c_0_2688_1,axiom,
    ( ~ c_Fun_Obij(X1,X2,X3)
    | c_Set_Oimage(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X4),X2,X3) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),c_Set_Oimage(X1,X4,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2688]) ).

cnf(c_0_2689_0,axiom,
    ( c_Finite__Set_Ofinite(c_Set_Ovimage(X3,X1,X4,X2),X4)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2689]) ).

cnf(c_0_2689_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(c_Set_Ovimage(X3,X1,X4,X2),X4)
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2689]) ).

cnf(c_0_2689_2,axiom,
    ( ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(c_Set_Ovimage(X3,X1,X4,X2),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2689]) ).

cnf(c_0_2690_0,axiom,
    ( c_Set_Oinsert(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) = c_Set_Oimage(X4,X2,X3,X5)
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2690]) ).

cnf(c_0_2690_1,axiom,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | c_Set_Oinsert(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) = c_Set_Oimage(X4,X2,X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2690]) ).

cnf(c_0_2691_0,axiom,
    ( c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X3,X2) = X1
    | ~ c_Fun_Obij(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2691]) ).

cnf(c_0_2691_1,axiom,
    ( ~ c_Fun_Obij(X1,X2,X3)
    | c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X3,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2691]) ).

cnf(c_0_2692_0,axiom,
    ( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X2)
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2692]) ).

cnf(c_0_2692_1,axiom,
    ( ~ c_Fun_Osurj(X1,X2,X3)
    | c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2692]) ).

cnf(c_0_2693_0,axiom,
    ( c_Finite__Set_Ofinite(X3,X5)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X3,c_Set_Oimage(X4,X1,X2,X5),tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2693]) ).

cnf(c_0_2693_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(X3,X5)
    | ~ c_lessequals(X3,c_Set_Oimage(X4,X1,X2,X5),tc_fun(X5,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2693]) ).

cnf(c_0_2693_2,axiom,
    ( ~ c_lessequals(X3,c_Set_Oimage(X4,X1,X2,X5),tc_fun(X5,tc_bool))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(X3,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2693]) ).

cnf(c_0_2694_0,axiom,
    ( c_Finite__Set_Ocard(c_Set_Oimage(X3,X1,X2,X4),X4) = c_Finite__Set_Ocard(X1,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Fun_Oinj__on(X3,X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2694]) ).

cnf(c_0_2694_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ocard(c_Set_Oimage(X3,X1,X2,X4),X4) = c_Finite__Set_Ocard(X1,X2)
    | ~ c_Fun_Oinj__on(X3,X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2694]) ).

cnf(c_0_2694_2,axiom,
    ( ~ c_Fun_Oinj__on(X3,X1,X2,X4)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ocard(c_Set_Oimage(X3,X1,X2,X4),X4) = c_Finite__Set_Ocard(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2694]) ).

cnf(c_0_2695_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2695]) ).

cnf(c_0_2695_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X3),c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2695]) ).

cnf(c_0_2696_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4),X4)
    | ~ class_Lattices_Olattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2696]) ).

cnf(c_0_2696_1,axiom,
    ( ~ class_Lattices_Olattice(X4)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2696]) ).

cnf(c_0_2697_0,axiom,
    ( c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) = c_Finite__Set_Ocard(X2,X3)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2697]) ).

cnf(c_0_2697_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Finite__Set_Ocard(c_Set_Oimage(X1,X2,X3,X4),X4) = c_Finite__Set_Ocard(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2697]) ).

cnf(c_0_2698_0,axiom,
    ( c_Finite__Set_Ofinite(X2,X4)
    | ~ c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X2,X3,X4),X3)
    | ~ c_Fun_Osurj(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2698]) ).

cnf(c_0_2698_1,axiom,
    ( ~ c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X2,X3,X4),X3)
    | c_Finite__Set_Ofinite(X2,X4)
    | ~ c_Fun_Osurj(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2698]) ).

cnf(c_0_2698_2,axiom,
    ( ~ c_Fun_Osurj(X1,X3,X4)
    | ~ c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X2,X3,X4),X3)
    | c_Finite__Set_Ofinite(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2698]) ).

cnf(c_0_2699_0,axiom,
    ( c_Finite__Set_Ofinite(X4,X3)
    | ~ c_Fun_Obij(X1,X2,X3)
    | ~ c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X4,X2,X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2699]) ).

cnf(c_0_2699_1,axiom,
    ( ~ c_Fun_Obij(X1,X2,X3)
    | c_Finite__Set_Ofinite(X4,X3)
    | ~ c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X4,X2,X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2699]) ).

cnf(c_0_2699_2,axiom,
    ( ~ c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X4,X2,X3),X2)
    | ~ c_Fun_Obij(X1,X2,X3)
    | c_Finite__Set_Ofinite(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2699]) ).

cnf(c_0_2700_0,axiom,
    ( hBOOL(c_in(X1,X2,X4))
    | hBOOL(c_in(X1,X3,X4))
    | ~ hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2700]) ).

cnf(c_0_2700_1,axiom,
    ( hBOOL(c_in(X1,X3,X4))
    | hBOOL(c_in(X1,X2,X4))
    | ~ hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2700]) ).

cnf(c_0_2700_2,axiom,
    ( ~ hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4))
    | hBOOL(c_in(X1,X3,X4))
    | hBOOL(c_in(X1,X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2700]) ).

cnf(c_0_2701_0,axiom,
    ( c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2701]) ).

cnf(c_0_2701_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
    | c_Fun_Oinj__on(X1,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2701]) ).

cnf(c_0_2702_0,axiom,
    ( c_Fun_Oinj__on(X1,X2,X4,X5)
    | ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2702]) ).

cnf(c_0_2702_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
    | c_Fun_Oinj__on(X1,X2,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2702]) ).

cnf(c_0_2703_0,axiom,
    ( X1 = X2
    | ~ hBOOL(c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2703]) ).

cnf(c_0_2703_1,axiom,
    ( ~ hBOOL(c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2703]) ).

cnf(c_0_2704_0,axiom,
    ( X1 = X2
    | X1 = X3
    | c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2704]) ).

cnf(c_0_2704_1,axiom,
    ( X1 = X3
    | X1 = X2
    | c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2704]) ).

cnf(c_0_2704_2,axiom,
    ( c_Set_Oinsert(X1,c_Set_Oinsert(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X2,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)
    | X1 = X3
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2704]) ).

cnf(c_0_2705_0,axiom,
    ( X1 = X2
    | X3 = X2
    | c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2705]) ).

cnf(c_0_2705_1,axiom,
    ( X3 = X2
    | X1 = X2
    | c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2705]) ).

cnf(c_0_2705_2,axiom,
    ( c_Set_Oinsert(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X2,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)
    | X3 = X2
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2705]) ).

cnf(c_0_2706_0,axiom,
    ( X1 = X2
    | X3 = X2
    | c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2706]) ).

cnf(c_0_2706_1,axiom,
    ( X3 = X2
    | X1 = X2
    | c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2706]) ).

cnf(c_0_2706_2,axiom,
    ( c_Set_Oinsert(X3,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4) != c_Set_Oinsert(X5,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X4)
    | X3 = X2
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2706]) ).

cnf(c_0_2707_0,axiom,
    ( X1 = X2
    | X1 = X3
    | c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2707]) ).

cnf(c_0_2707_1,axiom,
    ( X1 = X3
    | X1 = X2
    | c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2707]) ).

cnf(c_0_2707_2,axiom,
    ( c_Set_Oinsert(X4,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5) != c_Set_Oinsert(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X5),X5)
    | X1 = X3
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2707]) ).

cnf(c_0_2708_0,axiom,
    ( ~ hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4))
    | ~ hBOOL(c_in(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2708]) ).

cnf(c_0_2708_1,axiom,
    ( ~ hBOOL(c_in(X1,X3,X4))
    | ~ hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2708]) ).

cnf(c_0_2709_0,axiom,
    ( c_Set_Oimage(X1,c_Set_Ovimage(X1,X4,X2,X3),X2,X3) = X4
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2709]) ).

cnf(c_0_2709_1,axiom,
    ( ~ c_Fun_Osurj(X1,X2,X3)
    | c_Set_Oimage(X1,c_Set_Ovimage(X1,X4,X2,X3),X2,X3) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2709]) ).

cnf(c_0_2710_0,axiom,
    ( c_Fun_Oinj__on(X1,X3,X4,X5)
    | ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2710]) ).

cnf(c_0_2710_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
    | c_Fun_Oinj__on(X1,X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_2710]) ).

cnf(c_0_2711_0,axiom,
    ( c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X2
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2711]) ).

cnf(c_0_2711_1,axiom,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2711]) ).

cnf(c_0_2712_0,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2712]) ).

cnf(c_0_2712_1,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2712]) ).

cnf(c_0_2713_0,axiom,
    ( c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2713]) ).

cnf(c_0_2713_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2713]) ).

cnf(c_0_2714_0,axiom,
    ( X5 = X6
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ hBOOL(c_in(X5,X2,X3))
    | ~ hBOOL(c_in(X6,X2,X3))
    | hAPP(X1,X5) != hAPP(X1,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2714]) ).

cnf(c_0_2714_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | X5 = X6
    | ~ hBOOL(c_in(X5,X2,X3))
    | ~ hBOOL(c_in(X6,X2,X3))
    | hAPP(X1,X5) != hAPP(X1,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2714]) ).

cnf(c_0_2714_2,axiom,
    ( ~ hBOOL(c_in(X5,X2,X3))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | X5 = X6
    | ~ hBOOL(c_in(X6,X2,X3))
    | hAPP(X1,X5) != hAPP(X1,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2714]) ).

cnf(c_0_2714_3,axiom,
    ( ~ hBOOL(c_in(X6,X2,X3))
    | ~ hBOOL(c_in(X5,X2,X3))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | X5 = X6
    | hAPP(X1,X5) != hAPP(X1,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_2714]) ).

cnf(c_0_2714_4,axiom,
    ( hAPP(X1,X5) != hAPP(X1,X6)
    | ~ hBOOL(c_in(X6,X2,X3))
    | ~ hBOOL(c_in(X5,X2,X3))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | X5 = X6 ),
    inference(literals_permutation,[status(thm)],[c_0_2714]) ).

cnf(c_0_2715_0,axiom,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | ~ hBOOL(c_in(X1,X4,X5))
    | ~ hBOOL(c_in(X2,X4,X5))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2715]) ).

cnf(c_0_2715_1,axiom,
    ( ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | X1 = X2
    | ~ hBOOL(c_in(X1,X4,X5))
    | ~ hBOOL(c_in(X2,X4,X5))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2715]) ).

cnf(c_0_2715_2,axiom,
    ( ~ hBOOL(c_in(X1,X4,X5))
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | X1 = X2
    | ~ hBOOL(c_in(X2,X4,X5))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2715]) ).

cnf(c_0_2715_3,axiom,
    ( ~ hBOOL(c_in(X2,X4,X5))
    | ~ hBOOL(c_in(X1,X4,X5))
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | X1 = X2
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2715]) ).

cnf(c_0_2715_4,axiom,
    ( hAPP(X3,X1) != hAPP(X3,X2)
    | ~ hBOOL(c_in(X2,X4,X5))
    | ~ hBOOL(c_in(X1,X4,X5))
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2715]) ).

cnf(c_0_2716_0,axiom,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | ~ hBOOL(c_in(X1,X4,X5))
    | ~ hBOOL(c_in(X2,X4,X5))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2716]) ).

cnf(c_0_2716_1,axiom,
    ( ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | X1 = X2
    | ~ hBOOL(c_in(X1,X4,X5))
    | ~ hBOOL(c_in(X2,X4,X5))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2716]) ).

cnf(c_0_2716_2,axiom,
    ( ~ hBOOL(c_in(X1,X4,X5))
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | X1 = X2
    | ~ hBOOL(c_in(X2,X4,X5))
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2716]) ).

cnf(c_0_2716_3,axiom,
    ( ~ hBOOL(c_in(X2,X4,X5))
    | ~ hBOOL(c_in(X1,X4,X5))
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | X1 = X2
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2716]) ).

cnf(c_0_2716_4,axiom,
    ( hAPP(X3,X1) != hAPP(X3,X2)
    | ~ hBOOL(c_in(X2,X4,X5))
    | ~ hBOOL(c_in(X1,X4,X5))
    | ~ c_Fun_Oinj__on(X3,X4,X5,X6)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2716]) ).

cnf(c_0_2717_0,axiom,
    ( X1 = X4
    | ~ hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(c_in(X4,X2,X3))
    | ~ c_Fun_Oinj__on(X5,X2,X3,X6)
    | hAPP(X5,X1) != hAPP(X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2717]) ).

cnf(c_0_2717_1,axiom,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | X1 = X4
    | ~ hBOOL(c_in(X4,X2,X3))
    | ~ c_Fun_Oinj__on(X5,X2,X3,X6)
    | hAPP(X5,X1) != hAPP(X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2717]) ).

cnf(c_0_2717_2,axiom,
    ( ~ hBOOL(c_in(X4,X2,X3))
    | ~ hBOOL(c_in(X1,X2,X3))
    | X1 = X4
    | ~ c_Fun_Oinj__on(X5,X2,X3,X6)
    | hAPP(X5,X1) != hAPP(X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2717]) ).

cnf(c_0_2717_3,axiom,
    ( ~ c_Fun_Oinj__on(X5,X2,X3,X6)
    | ~ hBOOL(c_in(X4,X2,X3))
    | ~ hBOOL(c_in(X1,X2,X3))
    | X1 = X4
    | hAPP(X5,X1) != hAPP(X5,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2717]) ).

cnf(c_0_2717_4,axiom,
    ( hAPP(X5,X1) != hAPP(X5,X4)
    | ~ c_Fun_Oinj__on(X5,X2,X3,X6)
    | ~ hBOOL(c_in(X4,X2,X3))
    | ~ hBOOL(c_in(X1,X2,X3))
    | X1 = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2717]) ).

cnf(c_0_2718_0,axiom,
    ( c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_nat),tc_nat,X3) = c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat,X3)
    | hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2718]) ).

cnf(c_0_2718_1,axiom,
    ( hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X3)
    | c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_nat),tc_nat,X3) = c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat,X3)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2718]) ).

cnf(c_0_2718_2,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
    | hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X3)
    | c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_nat),tc_nat,X3) = c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2718]) ).

cnf(c_0_2719_0,axiom,
    ( hBOOL(c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3))
    | ~ hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(c_in(X1,X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2719]) ).

cnf(c_0_2719_1,axiom,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | hBOOL(c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3))
    | ~ hBOOL(c_in(X1,X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2719]) ).

cnf(c_0_2719_2,axiom,
    ( ~ hBOOL(c_in(X1,X4,X3))
    | ~ hBOOL(c_in(X1,X2,X3))
    | hBOOL(c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2719]) ).

cnf(c_0_2720_0,axiom,
    ( hBOOL(c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3))
    | ~ hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(c_in(X1,X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2720]) ).

cnf(c_0_2720_1,axiom,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | hBOOL(c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3))
    | ~ hBOOL(c_in(X1,X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2720]) ).

cnf(c_0_2720_2,axiom,
    ( ~ hBOOL(c_in(X1,X4,X3))
    | ~ hBOOL(c_in(X1,X2,X3))
    | hBOOL(c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2720]) ).

cnf(c_0_2721_0,axiom,
    ( hBOOL(c_in(X1,X2,X4))
    | ~ hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2721]) ).

cnf(c_0_2721_1,axiom,
    ( ~ hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4))
    | hBOOL(c_in(X1,X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2721]) ).

cnf(c_0_2722_0,axiom,
    ( hBOOL(c_in(X1,X3,X4))
    | ~ hBOOL(c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2722]) ).

cnf(c_0_2722_1,axiom,
    ( ~ hBOOL(c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4))
    | hBOOL(c_in(X1,X3,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2722]) ).

cnf(c_0_2723_0,axiom,
    ( hBOOL(c_in(X1,X2,X4))
    | ~ hBOOL(c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2723]) ).

cnf(c_0_2723_1,axiom,
    ( ~ hBOOL(c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4))
    | hBOOL(c_in(X1,X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2723]) ).

cnf(c_0_2724_0,axiom,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),X4)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2724]) ).

cnf(c_0_2724_1,axiom,
    ( ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),X4)
    | c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2724]) ).

cnf(c_0_2725_0,axiom,
    ( c_Fun_Oinj__on(X1,X5,X3,X4)
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2725]) ).

cnf(c_0_2725_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Fun_Oinj__on(X1,X5,X3,X4)
    | ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2725]) ).

cnf(c_0_2725_2,axiom,
    ( ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
    | ~ c_Fun_Oinj__on(X1,X2,X3,X4)
    | c_Fun_Oinj__on(X1,X5,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2725]) ).

cnf(c_0_2726_0,axiom,
    ( ~ hBOOL(c_in(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3),X2))
    | ~ hBOOL(c_in(X1,X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2726]) ).

cnf(c_0_2726_1,axiom,
    ( ~ hBOOL(c_in(X1,X3,X2))
    | ~ hBOOL(c_in(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2726]) ).

cnf(c_0_2727_0,axiom,
    ( c_Fun_Obij(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X3,X2)
    | ~ c_Fun_Obij(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2727]) ).

cnf(c_0_2727_1,axiom,
    ( ~ c_Fun_Obij(X1,X2,X3)
    | c_Fun_Obij(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2727]) ).

cnf(c_0_2728_0,axiom,
    ( hBOOL(c_in(X3,X1,X2))
    | c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2) = c_Finite__Set_Ocard(X1,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2728]) ).

cnf(c_0_2728_1,axiom,
    ( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2) = c_Finite__Set_Ocard(X1,X2)
    | hBOOL(c_in(X3,X1,X2))
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2728]) ).

cnf(c_0_2728_2,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),tc_fun(X2,tc_bool)),X2) = c_Finite__Set_Ocard(X1,X2)
    | hBOOL(c_in(X3,X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2728]) ).

cnf(c_0_2729_0,axiom,
    ( hBOOL(c_in(X1,X4,X3))
    | hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2729]) ).

cnf(c_0_2729_1,axiom,
    ( hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3))
    | hBOOL(c_in(X1,X4,X3))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2729]) ).

cnf(c_0_2729_2,axiom,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3))
    | hBOOL(c_in(X1,X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2729]) ).

cnf(c_0_2730_0,axiom,
    ( hBOOL(c_in(X1,X4,X3))
    | hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2730]) ).

cnf(c_0_2730_1,axiom,
    ( hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3))
    | hBOOL(c_in(X1,X4,X3))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2730]) ).

cnf(c_0_2730_2,axiom,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | hBOOL(c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3))
    | hBOOL(c_in(X1,X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2730]) ).

cnf(c_0_2731_0,axiom,
    ( hAPP(c_FuncSet_Orestrict(X4,X2,X3,X5),X1) = hAPP(X4,X1)
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2731]) ).

cnf(c_0_2731_1,axiom,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | hAPP(c_FuncSet_Orestrict(X4,X2,X3,X5),X1) = hAPP(X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2731]) ).

cnf(c_0_2732_0,axiom,
    ( hBOOL(hAPP(X1,X3))
    | ~ hBOOL(hAPP(X1,c_List_Osko__List__Xall__nat__less__eq__1__1(X1,X2)))
    | ~ hBOOL(c_in(X3,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_2732]) ).

cnf(c_0_2732_1,axiom,
    ( ~ hBOOL(hAPP(X1,c_List_Osko__List__Xall__nat__less__eq__1__1(X1,X2)))
    | hBOOL(hAPP(X1,X3))
    | ~ hBOOL(c_in(X3,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_2732]) ).

cnf(c_0_2732_2,axiom,
    ( ~ hBOOL(c_in(X3,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat))
    | ~ hBOOL(hAPP(X1,c_List_Osko__List__Xall__nat__less__eq__1__1(X1,X2)))
    | hBOOL(hAPP(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2732]) ).

cnf(c_0_2733_0,axiom,
    ( hBOOL(hAPP(X3,c_List_Osko__List__Xex__nat__less__eq__1__2(X3,X2)))
    | ~ hBOOL(c_in(X1,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat))
    | ~ hBOOL(hAPP(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2733]) ).

cnf(c_0_2733_1,axiom,
    ( ~ hBOOL(c_in(X1,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat))
    | hBOOL(hAPP(X3,c_List_Osko__List__Xex__nat__less__eq__1__2(X3,X2)))
    | ~ hBOOL(hAPP(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2733]) ).

cnf(c_0_2733_2,axiom,
    ( ~ hBOOL(hAPP(X3,X1))
    | ~ hBOOL(c_in(X1,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat))
    | hBOOL(hAPP(X3,c_List_Osko__List__Xex__nat__less__eq__1__2(X3,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_2733]) ).

cnf(c_0_2734_0,axiom,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)),X3)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2734]) ).

cnf(c_0_2734_1,axiom,
    ( ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X3)
    | c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2734]) ).

cnf(c_0_2735_0,axiom,
    ( c_HOL_Oord__class_Oless(c_List_Osko__List__Xex__nat__less__eq__1__2(X3,X2),X2,tc_nat)
    | ~ hBOOL(c_in(X1,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat))
    | ~ hBOOL(hAPP(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2735]) ).

cnf(c_0_2735_1,axiom,
    ( ~ hBOOL(c_in(X1,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat))
    | c_HOL_Oord__class_Oless(c_List_Osko__List__Xex__nat__less__eq__1__2(X3,X2),X2,tc_nat)
    | ~ hBOOL(hAPP(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2735]) ).

cnf(c_0_2735_2,axiom,
    ( ~ hBOOL(hAPP(X3,X1))
    | ~ hBOOL(c_in(X1,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat))
    | c_HOL_Oord__class_Oless(c_List_Osko__List__Xex__nat__less__eq__1__2(X3,X2),X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2735]) ).

cnf(c_0_2736_0,axiom,
    ( c_Fun_Osurj(X2,X1,X1)
    | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2736]) ).

cnf(c_0_2736_1,axiom,
    ( ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
    | c_Fun_Osurj(X2,X1,X1)
    | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2736]) ).

cnf(c_0_2736_2,axiom,
    ( ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X1)
    | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
    | c_Fun_Osurj(X2,X1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2736]) ).

cnf(c_0_2737_0,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X5,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2737]) ).

cnf(c_0_2737_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X5,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2737]) ).

cnf(c_0_2737_2,axiom,
    ( ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X5,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2737]) ).

cnf(c_0_2738_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2738]) ).

cnf(c_0_2738_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2738]) ).

cnf(c_0_2738_2,axiom,
    ( ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2738]) ).

cnf(c_0_2739_0,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2739]) ).

cnf(c_0_2739_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2739]) ).

cnf(c_0_2739_2,axiom,
    ( ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2739]) ).

cnf(c_0_2740_0,axiom,
    ( c_HOL_Oord__class_Oless(c_List_Osko__List__Xall__nat__less__eq__1__1(X1,X2),X2,tc_nat)
    | hBOOL(hAPP(X1,X3))
    | ~ hBOOL(c_in(X3,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_2740]) ).

cnf(c_0_2740_1,axiom,
    ( hBOOL(hAPP(X1,X3))
    | c_HOL_Oord__class_Oless(c_List_Osko__List__Xall__nat__less__eq__1__1(X1,X2),X2,tc_nat)
    | ~ hBOOL(c_in(X3,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_2740]) ).

cnf(c_0_2740_2,axiom,
    ( ~ hBOOL(c_in(X3,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat),tc_nat))
    | hBOOL(hAPP(X1,X3))
    | c_HOL_Oord__class_Oless(c_List_Osko__List__Xall__nat__less__eq__1__1(X1,X2),X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2740]) ).

cnf(c_0_2741_0,axiom,
    ( X1 = X2
    | hBOOL(c_in(X1,X3,X4))
    | ~ hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2741]) ).

cnf(c_0_2741_1,axiom,
    ( hBOOL(c_in(X1,X3,X4))
    | X1 = X2
    | ~ hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2741]) ).

cnf(c_0_2741_2,axiom,
    ( ~ hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))
    | hBOOL(c_in(X1,X3,X4))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2741]) ).

cnf(c_0_2742_0,axiom,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Power_Opower__class_Opower(X1,c_Suc(X2),X3),c_Power_Opower__class_Opower(X4,c_Suc(X2),X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2742]) ).

cnf(c_0_2742_1,axiom,
    ( ~ c_lessequals(c_Power_Opower__class_Opower(X1,c_Suc(X2),X3),c_Power_Opower__class_Opower(X4,c_Suc(X2),X3),X3)
    | c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2742]) ).

cnf(c_0_2742_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(c_Power_Opower__class_Opower(X1,c_Suc(X2),X3),c_Power_Opower__class_Opower(X4,c_Suc(X2),X3),X3)
    | c_lessequals(X1,X4,X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2742]) ).

cnf(c_0_2742_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(c_Power_Opower__class_Opower(X1,c_Suc(X2),X3),c_Power_Opower__class_Opower(X4,c_Suc(X2),X3),X3)
    | c_lessequals(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2742]) ).

cnf(c_0_2743_0,axiom,
    ( c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X4,X2,X3),X2)
    | ~ c_Fun_Obij(X1,X2,X3)
    | ~ c_Finite__Set_Ofinite(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2743]) ).

cnf(c_0_2743_1,axiom,
    ( ~ c_Fun_Obij(X1,X2,X3)
    | c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X4,X2,X3),X2)
    | ~ c_Finite__Set_Ofinite(X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2743]) ).

cnf(c_0_2743_2,axiom,
    ( ~ c_Finite__Set_Ofinite(X4,X3)
    | ~ c_Fun_Obij(X1,X2,X3)
    | c_Finite__Set_Ofinite(c_Set_Ovimage(X1,X4,X2,X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2743]) ).

cnf(c_0_2744_0,axiom,
    ( c_Fun_Obij(X1,X2,X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2744]) ).

cnf(c_0_2744_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_Fun_Obij(X1,X2,X3)
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2744]) ).

cnf(c_0_2744_2,axiom,
    ( ~ c_Fun_Osurj(X1,X2,X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_Fun_Obij(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2744]) ).

cnf(c_0_2745_0,axiom,
    ( c_Fun_Obij(X1,X2,X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2745]) ).

cnf(c_0_2745_1,axiom,
    ( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_Fun_Obij(X1,X2,X3)
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2745]) ).

cnf(c_0_2745_2,axiom,
    ( ~ c_Fun_Osurj(X1,X2,X3)
    | ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_Fun_Obij(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2745]) ).

cnf(c_0_2746_0,axiom,
    ( c_lessequals(X3,X2,tc_fun(X1,tc_bool))
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3),tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2746]) ).

cnf(c_0_2746_1,axiom,
    ( ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3),tc_fun(X1,tc_bool))
    | c_lessequals(X3,X2,tc_fun(X1,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2746]) ).

cnf(c_0_2747_0,axiom,
    ( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2747]) ).

cnf(c_0_2747_1,axiom,
    ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
    | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2747]) ).

cnf(c_0_2748_0,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2748]) ).

cnf(c_0_2748_1,axiom,
    ( ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
    | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2748]) ).

cnf(c_0_2749_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2749]) ).

cnf(c_0_2749_1,axiom,
    ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2749]) ).

cnf(c_0_2750_0,axiom,
    ( hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2750]) ).

cnf(c_0_2750_1,axiom,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2750]) ).

cnf(c_0_2751_0,axiom,
    ( hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2751]) ).

cnf(c_0_2751_1,axiom,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2751]) ).

cnf(c_0_2752_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2752]) ).

cnf(c_0_2752_1,axiom,
    ( X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2752]) ).

cnf(c_0_2752_2,axiom,
    ( ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool))
    | X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2752]) ).

cnf(c_0_2753_0,axiom,
    ( hBOOL(hAPP(X1,X4))
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2753]) ).

cnf(c_0_2753_1,axiom,
    ( hBOOL(hAPP(X2,X4))
    | hBOOL(hAPP(X1,X4))
    | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2753]) ).

cnf(c_0_2753_2,axiom,
    ( ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
    | hBOOL(hAPP(X2,X4))
    | hBOOL(hAPP(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2753]) ).

cnf(c_0_2754_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2754]) ).

cnf(c_0_2754_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2754]) ).

cnf(c_0_2755_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2755]) ).

cnf(c_0_2755_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2755]) ).

cnf(c_0_2755_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2755]) ).

cnf(c_0_2755_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2755]) ).

cnf(c_0_2756_0,axiom,
    ( c_lessequals(X2,X1,X3)
    | c_lessequals(X4,X1,X3)
    | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X3),tc_fun(X3,tc_bool))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2756]) ).

cnf(c_0_2756_1,axiom,
    ( c_lessequals(X4,X1,X3)
    | c_lessequals(X2,X1,X3)
    | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X3),tc_fun(X3,tc_bool))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2756]) ).

cnf(c_0_2756_2,axiom,
    ( ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X3),tc_fun(X3,tc_bool))
    | c_lessequals(X4,X1,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2756]) ).

cnf(c_0_2756_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X3),tc_fun(X3,tc_bool))
    | c_lessequals(X4,X1,X3)
    | c_lessequals(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2756]) ).

cnf(c_0_2757_0,axiom,
    ( c_lessequals(X2,X1,X3)
    | c_lessequals(X2,X5,X3)
    | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X3),tc_fun(X3,tc_bool))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2757]) ).

cnf(c_0_2757_1,axiom,
    ( c_lessequals(X2,X5,X3)
    | c_lessequals(X2,X1,X3)
    | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X3),tc_fun(X3,tc_bool))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2757]) ).

cnf(c_0_2757_2,axiom,
    ( ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X3),tc_fun(X3,tc_bool))
    | c_lessequals(X2,X5,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2757]) ).

cnf(c_0_2757_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X4,X5,X3),tc_fun(X3,tc_bool))
    | c_lessequals(X2,X5,X3)
    | c_lessequals(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2757]) ).

cnf(c_0_2758_0,axiom,
    ( c_Finite__Set_Ocard(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2))
    | hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2758]) ).

cnf(c_0_2758_1,axiom,
    ( hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2))
    | c_Finite__Set_Ocard(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2758]) ).

cnf(c_0_2759_0,axiom,
    ( c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2759]) ).

cnf(c_0_2759_1,axiom,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2759]) ).

cnf(c_0_2760_0,axiom,
    ( c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2760]) ).

cnf(c_0_2760_1,axiom,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2760]) ).

cnf(c_0_2761_0,axiom,
    ( hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2761]) ).

cnf(c_0_2761_1,axiom,
    ( ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4))
    | hBOOL(hAPP(X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2761]) ).

cnf(c_0_2762_0,axiom,
    ( hBOOL(hAPP(X1,X4))
    | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2762]) ).

cnf(c_0_2762_1,axiom,
    ( ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4))
    | hBOOL(hAPP(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2762]) ).

cnf(c_0_2763_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X4,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2763]) ).

cnf(c_0_2763_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X4,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2763]) ).

cnf(c_0_2763_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X4,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2763]) ).

cnf(c_0_2763_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X4,tc_nat)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2763]) ).

cnf(c_0_2763_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X4,tc_nat)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2763]) ).

cnf(c_0_2764_0,axiom,
    ( hAPP(X1,c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__2(X1,X2,X3)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__1(X1,X2,X3))
    | c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2764]) ).

cnf(c_0_2764_1,axiom,
    ( c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | hAPP(X1,c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__2(X1,X2,X3)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__1(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2764]) ).

cnf(c_0_2765_0,axiom,
    ( hAPP(X1,c_ATP__Linkup_Osko__Fun__XinjI__1__2(X1,X2,X3)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__XinjI__1__1(X1,X2,X3))
    | c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2765]) ).

cnf(c_0_2765_1,axiom,
    ( c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | hAPP(X1,c_ATP__Linkup_Osko__Fun__XinjI__1__2(X1,X2,X3)) = hAPP(X1,c_ATP__Linkup_Osko__Fun__XinjI__1__1(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2765]) ).

cnf(c_0_2766_0,axiom,
    ( c_Finite__Set_Ofinite(c_Set_Oimage(X3,X1,X2,X4),X4)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2766]) ).

cnf(c_0_2766_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(c_Set_Oimage(X3,X1,X2,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2766]) ).

cnf(c_0_2767_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2767]) ).

cnf(c_0_2767_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X1,X4,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2767]) ).

cnf(c_0_2767_2,axiom,
    ( ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X1,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2767]) ).

cnf(c_0_2767_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2767]) ).

cnf(c_0_2768_0,axiom,
    ( X1 = X2
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2768]) ).

cnf(c_0_2768_1,axiom,
    ( ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | X1 = X2
    | hAPP(X3,X1) != hAPP(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2768]) ).

cnf(c_0_2768_2,axiom,
    ( hAPP(X3,X1) != hAPP(X3,X2)
    | ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2768]) ).

cnf(c_0_2769_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X4,X1,X3))
    | ~ hBOOL(c_in(X4,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2769]) ).

cnf(c_0_2769_1,axiom,
    ( ~ hBOOL(c_in(X4,X1,X3))
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X4,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2769]) ).

cnf(c_0_2769_2,axiom,
    ( ~ hBOOL(c_in(X4,X2,X3))
    | ~ hBOOL(c_in(X4,X1,X3))
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2769]) ).

cnf(c_0_2770_0,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2770]) ).

cnf(c_0_2770_1,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X2
    | hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2770]) ).

cnf(c_0_2771_0,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool)),X3) = c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2771]) ).

cnf(c_0_2771_1,axiom,
    ( c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool)),X3) = c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
    | hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2771]) ).

cnf(c_0_2772_0,axiom,
    ( hBOOL(c_in(X1,c_Set_Oinsert(X4,X2,X3),X3))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2772]) ).

cnf(c_0_2772_1,axiom,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | hBOOL(c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2772]) ).

cnf(c_0_2773_0,axiom,
    ( hBOOL(c_in(X1,c_Set_Oinsert(X4,X2,X3),X3))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2773]) ).

cnf(c_0_2773_1,axiom,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | hBOOL(c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2773]) ).

cnf(c_0_2774_0,axiom,
    ( c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X1)
    | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
    | ~ c_Fun_Osurj(X2,X1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2774]) ).

cnf(c_0_2774_1,axiom,
    ( ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
    | c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X1)
    | ~ c_Fun_Osurj(X2,X1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2774]) ).

cnf(c_0_2774_2,axiom,
    ( ~ c_Fun_Osurj(X2,X1,X1)
    | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
    | c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2774]) ).

cnf(c_0_2775_0,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | hBOOL(c_in(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2775]) ).

cnf(c_0_2775_1,axiom,
    ( hBOOL(c_in(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X2),X3))
    | hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2775]) ).

cnf(c_0_2776_0,axiom,
    ( c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X1,X2,X3))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2776]) ).

cnf(c_0_2776_1,axiom,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2776]) ).

cnf(c_0_2776_2,axiom,
    ( ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X1,X2,X3))
    | c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2776]) ).

cnf(c_0_2777_0,axiom,
    ( hBOOL(c_in(X2,X1,X4))
    | c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2777]) ).

cnf(c_0_2777_1,axiom,
    ( c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | hBOOL(c_in(X2,X1,X4))
    | ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2777]) ).

cnf(c_0_2777_2,axiom,
    ( ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
    | c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | hBOOL(c_in(X2,X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2777]) ).

cnf(c_0_2778_0,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2778]) ).

cnf(c_0_2778_1,axiom,
    ( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | hBOOL(c_in(X1,X2,X3))
    | ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2778]) ).

cnf(c_0_2778_2,axiom,
    ( ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2778]) ).

cnf(c_0_2779_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2779]) ).

cnf(c_0_2779_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2779]) ).

cnf(c_0_2779_2,axiom,
    ( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2779]) ).

cnf(c_0_2780_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2780]) ).

cnf(c_0_2780_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2780]) ).

cnf(c_0_2780_2,axiom,
    ( ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2780]) ).

cnf(c_0_2781_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2781]) ).

cnf(c_0_2781_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2781]) ).

cnf(c_0_2781_2,axiom,
    ( ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2781]) ).

cnf(c_0_2782_0,axiom,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2782]) ).

cnf(c_0_2782_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2782]) ).

cnf(c_0_2782_2,axiom,
    ( ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2782]) ).

cnf(c_0_2783_0,axiom,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2783]) ).

cnf(c_0_2783_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2783]) ).

cnf(c_0_2783_2,axiom,
    ( ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2783]) ).

cnf(c_0_2784_0,axiom,
    ( c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_ATP__Linkup_Osko__Fun__XinjI__1__2(X1,X2,X3) != c_ATP__Linkup_Osko__Fun__XinjI__1__1(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2784]) ).

cnf(c_0_2784_1,axiom,
    ( c_ATP__Linkup_Osko__Fun__XinjI__1__2(X1,X2,X3) != c_ATP__Linkup_Osko__Fun__XinjI__1__1(X1,X2,X3)
    | c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2784]) ).

cnf(c_0_2785_0,axiom,
    ( c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__2(X1,X2,X3) != c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__1(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2785]) ).

cnf(c_0_2785_1,axiom,
    ( c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__2(X1,X2,X3) != c_ATP__Linkup_Osko__Fun__Xdatatype__injI__1__1(X1,X2,X3)
    | c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2785]) ).

cnf(c_0_2786_0,axiom,
    ( X2 = X3
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X4,tc_nat)
    | c_Power_Opower__class_Opower(X2,X4,X1) != c_Power_Opower__class_Opower(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2786]) ).

cnf(c_0_2786_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | X2 = X3
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X4,tc_nat)
    | c_Power_Opower__class_Opower(X2,X4,X1) != c_Power_Opower__class_Opower(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2786]) ).

cnf(c_0_2786_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | X2 = X3
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X4,tc_nat)
    | c_Power_Opower__class_Opower(X2,X4,X1) != c_Power_Opower__class_Opower(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2786]) ).

cnf(c_0_2786_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X4,tc_nat)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | X2 = X3
    | c_Power_Opower__class_Opower(X2,X4,X1) != c_Power_Opower__class_Opower(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2786]) ).

cnf(c_0_2786_4,axiom,
    ( c_Power_Opower__class_Opower(X2,X4,X1) != c_Power_Opower__class_Opower(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X4,tc_nat)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | X2 = X3
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2786]) ).

cnf(c_0_2786_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_Power_Opower__class_Opower(X2,X4,X1) != c_Power_Opower__class_Opower(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X4,tc_nat)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2786]) ).

cnf(c_0_2787_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Set_Oimage(X3,X1,X2,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2787]) ).

cnf(c_0_2787_1,axiom,
    ( c_Set_Oimage(X3,X1,X2,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2787]) ).

cnf(c_0_2788_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Set_Oimage(X4,X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2788]) ).

cnf(c_0_2788_1,axiom,
    ( c_Set_Oimage(X4,X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2788]) ).

cnf(c_0_2789_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X1),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2789]) ).

cnf(c_0_2789_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X1),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2789]) ).

cnf(c_0_2790_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X1),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2790]) ).

cnf(c_0_2790_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X1),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2790]) ).

cnf(c_0_2791_0,axiom,
    ( c_lessequals(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2791]) ).

cnf(c_0_2791_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2791]) ).

cnf(c_0_2791_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2791]) ).

cnf(c_0_2791_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2791]) ).

cnf(c_0_2792_0,axiom,
    ( c_Finite__Set_Osetsum(X3,c_SetInterval_Oord__class_OatLeastLessThan(X2,c_Suc(X1),tc_nat),tc_nat,X4) = c_HOL_Ozero__class_Ozero(X4)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2792]) ).

cnf(c_0_2792_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_Finite__Set_Osetsum(X3,c_SetInterval_Oord__class_OatLeastLessThan(X2,c_Suc(X1),tc_nat),tc_nat,X4) = c_HOL_Ozero__class_Ozero(X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2792]) ).

cnf(c_0_2792_2,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_Finite__Set_Osetsum(X3,c_SetInterval_Oord__class_OatLeastLessThan(X2,c_Suc(X1),tc_nat),tc_nat,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2792]) ).

cnf(c_0_2793_0,axiom,
    ( c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2793]) ).

cnf(c_0_2793_1,axiom,
    ( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
    | c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2793]) ).

cnf(c_0_2794_0,axiom,
    ( c_lessequals(X1,X2,tc_fun(X4,tc_bool))
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2794]) ).

cnf(c_0_2794_1,axiom,
    ( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
    | c_lessequals(X1,X2,tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2794]) ).

cnf(c_0_2795_0,axiom,
    ( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2795]) ).

cnf(c_0_2795_1,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2795]) ).

cnf(c_0_2796_0,axiom,
    ( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2796]) ).

cnf(c_0_2796_1,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2796]) ).

cnf(c_0_2797_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(X1,X4,X3),c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2797]) ).

cnf(c_0_2797_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(X1,X4,X3),c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2797]) ).

cnf(c_0_2797_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(X1,X4,X3),c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2797]) ).

cnf(c_0_2798_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Odistrib__lattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2798]) ).

cnf(c_0_2798_1,axiom,
    ( ~ class_Lattices_Odistrib__lattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2798]) ).

cnf(c_0_2799_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X4),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)
    | ~ class_Lattices_Odistrib__lattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2799]) ).

cnf(c_0_2799_1,axiom,
    ( ~ class_Lattices_Odistrib__lattice(X4)
    | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X4),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2799]) ).

cnf(c_0_2800_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2800]) ).

cnf(c_0_2800_1,axiom,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2800]) ).

cnf(c_0_2801_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Odistrib__lattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2801]) ).

cnf(c_0_2801_1,axiom,
    ( ~ class_Lattices_Odistrib__lattice(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2801]) ).

cnf(c_0_2802_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Odistrib__lattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2802]) ).

cnf(c_0_2802_1,axiom,
    ( ~ class_Lattices_Odistrib__lattice(X4)
    | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X4),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2802]) ).

cnf(c_0_2803_0,axiom,
    ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2803]) ).

cnf(c_0_2803_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2))
    | ~ hBOOL(hAPP(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2803]) ).

cnf(c_0_2803_2,axiom,
    ( ~ hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2803]) ).

cnf(c_0_2804_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3),tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2804]) ).

cnf(c_0_2804_1,axiom,
    ( ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3),tc_fun(X2,tc_bool))
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2804]) ).

cnf(c_0_2805_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_SetInterval_Oord__class_OlessThan(X1,X2),tc_fun(X2,tc_bool)) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2805]) ).

cnf(c_0_2805_1,axiom,
    ( ~ class_Orderings_Oorder(X2)
    | c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_SetInterval_Oord__class_OlessThan(X1,X2),tc_fun(X2,tc_bool)) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2805]) ).

cnf(c_0_2806_0,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2806]) ).

cnf(c_0_2806_1,axiom,
    ( c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | hBOOL(c_in(X1,X2,X3))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2806]) ).

cnf(c_0_2806_2,axiom,
    ( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2806]) ).

cnf(c_0_2807_0,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2807]) ).

cnf(c_0_2807_1,axiom,
    ( c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | hBOOL(c_in(X1,X2,X3))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2807]) ).

cnf(c_0_2807_2,axiom,
    ( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
    | hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2807]) ).

cnf(c_0_2808_0,axiom,
    ( X1 = X4
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2808]) ).

cnf(c_0_2808_1,axiom,
    ( hBOOL(hAPP(X2,X4))
    | X1 = X4
    | ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2808]) ).

cnf(c_0_2808_2,axiom,
    ( ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
    | hBOOL(hAPP(X2,X4))
    | X1 = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2808]) ).

cnf(c_0_2809_0,axiom,
    ( c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2809]) ).

cnf(c_0_2809_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2809]) ).

cnf(c_0_2810_0,axiom,
    ( c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))
    | ~ c_Fun_Osurj(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2810]) ).

cnf(c_0_2810_1,axiom,
    ( ~ c_Fun_Osurj(X1,X2,X3)
    | c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2810]) ).

cnf(c_0_2811_0,axiom,
    ( hBOOL(c_in(X4,X2,X3))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X4,X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2811]) ).

cnf(c_0_2811_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(c_in(X4,X2,X3))
    | ~ hBOOL(c_in(X4,X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2811]) ).

cnf(c_0_2811_2,axiom,
    ( ~ hBOOL(c_in(X4,X1,X3))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(c_in(X4,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2811]) ).

cnf(c_0_2812_0,axiom,
    ( hBOOL(c_in(X4,X2,X3))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X4,X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2812]) ).

cnf(c_0_2812_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(c_in(X4,X2,X3))
    | ~ hBOOL(c_in(X4,X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2812]) ).

cnf(c_0_2812_2,axiom,
    ( ~ hBOOL(c_in(X4,X1,X3))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(c_in(X4,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2812]) ).

cnf(c_0_2813_0,axiom,
    ( hBOOL(c_in(X1,X4,X3))
    | ~ hBOOL(c_in(X1,X2,X3))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2813]) ).

cnf(c_0_2813_1,axiom,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | hBOOL(c_in(X1,X4,X3))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2813]) ).

cnf(c_0_2813_2,axiom,
    ( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X1,X2,X3))
    | hBOOL(c_in(X1,X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2813]) ).

cnf(c_0_2814_0,axiom,
    ( hBOOL(c_in(X4,X2,X3))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(c_in(X4,X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2814]) ).

cnf(c_0_2814_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(c_in(X4,X2,X3))
    | ~ hBOOL(c_in(X4,X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2814]) ).

cnf(c_0_2814_2,axiom,
    ( ~ hBOOL(c_in(X4,X1,X3))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(c_in(X4,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2814]) ).

cnf(c_0_2815_0,axiom,
    ( hBOOL(c_in(X1,X4,X3))
    | ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2815]) ).

cnf(c_0_2815_1,axiom,
    ( ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
    | hBOOL(c_in(X1,X4,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2815]) ).

cnf(c_0_2816_0,axiom,
    ( X1 = X2
    | hBOOL(c_in(X3,X1,X4))
    | hBOOL(c_in(X3,X2,X4))
    | c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2816]) ).

cnf(c_0_2816_1,axiom,
    ( hBOOL(c_in(X3,X1,X4))
    | X1 = X2
    | hBOOL(c_in(X3,X2,X4))
    | c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2816]) ).

cnf(c_0_2816_2,axiom,
    ( hBOOL(c_in(X3,X2,X4))
    | hBOOL(c_in(X3,X1,X4))
    | X1 = X2
    | c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2816]) ).

cnf(c_0_2816_3,axiom,
    ( c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4)
    | hBOOL(c_in(X3,X2,X4))
    | hBOOL(c_in(X3,X1,X4))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2816]) ).

cnf(c_0_2817_0,axiom,
    ( X2 = X3
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_Power_Opower__class_Opower(X2,c_Suc(X4),X1) != c_Power_Opower__class_Opower(X3,c_Suc(X4),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2817]) ).

cnf(c_0_2817_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | X2 = X3
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_Power_Opower__class_Opower(X2,c_Suc(X4),X1) != c_Power_Opower__class_Opower(X3,c_Suc(X4),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2817]) ).

cnf(c_0_2817_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | X2 = X3
    | c_Power_Opower__class_Opower(X2,c_Suc(X4),X1) != c_Power_Opower__class_Opower(X3,c_Suc(X4),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2817]) ).

cnf(c_0_2817_3,axiom,
    ( c_Power_Opower__class_Opower(X2,c_Suc(X4),X1) != c_Power_Opower__class_Opower(X3,c_Suc(X4),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | X2 = X3
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2817]) ).

cnf(c_0_2817_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_Power_Opower__class_Opower(X2,c_Suc(X4),X1) != c_Power_Opower__class_Opower(X3,c_Suc(X4),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2817]) ).

cnf(c_0_2818_0,axiom,
    ( c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
    | ~ c_Fun_Obij(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2818]) ).

cnf(c_0_2818_1,axiom,
    ( ~ c_Fun_Obij(X1,X2,X3)
    | c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2818]) ).

cnf(c_0_2819_0,axiom,
    ( ~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2))
    | ~ hBOOL(hAPP(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2819]) ).

cnf(c_0_2819_1,axiom,
    ( ~ hBOOL(hAPP(X3,X1))
    | ~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2819]) ).

cnf(c_0_2820_0,axiom,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2820]) ).

cnf(c_0_2820_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2820]) ).

cnf(c_0_2821_0,axiom,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2821]) ).

cnf(c_0_2821_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2821]) ).

cnf(c_0_2822_0,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | c_Lattices_Olower__semilattice__class_Oinf(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2822]) ).

cnf(c_0_2822_1,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool))
    | hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2822]) ).

cnf(c_0_2823_0,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2823]) ).

cnf(c_0_2823_1,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool))
    | hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2823]) ).

cnf(c_0_2824_0,axiom,
    ( c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3),tc_fun(X2,tc_bool))
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2824]) ).

cnf(c_0_2824_1,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3),tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2824]) ).

cnf(c_0_2825_0,axiom,
    ( hBOOL(hAPP(X3,X1))
    | ~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2825]) ).

cnf(c_0_2825_1,axiom,
    ( ~ hBOOL(c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2))
    | hBOOL(hAPP(X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2825]) ).

cnf(c_0_2826_0,axiom,
    ( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2826]) ).

cnf(c_0_2826_1,axiom,
    ( ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
    | c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2826]) ).

cnf(c_0_2827_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2827]) ).

cnf(c_0_2827_1,axiom,
    ( ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),tc_fun(X2,tc_bool))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2827]) ).

cnf(c_0_2828_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2828]) ).

cnf(c_0_2828_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2828]) ).

cnf(c_0_2829_0,axiom,
    ( c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2829]) ).

cnf(c_0_2829_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2829]) ).

cnf(c_0_2830_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2830]) ).

cnf(c_0_2830_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2830]) ).

cnf(c_0_2830_2,axiom,
    ( ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2830]) ).

cnf(c_0_2830_3,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2830]) ).

cnf(c_0_2831_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2831]) ).

cnf(c_0_2831_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2831]) ).

cnf(c_0_2831_2,axiom,
    ( ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2831]) ).

cnf(c_0_2831_3,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2831]) ).

cnf(c_0_2832_0,axiom,
    ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2832]) ).

cnf(c_0_2832_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2832]) ).

cnf(c_0_2832_2,axiom,
    ( ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2832]) ).

cnf(c_0_2832_3,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2832]) ).

cnf(c_0_2833_0,axiom,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2833]) ).

cnf(c_0_2833_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2833]) ).

cnf(c_0_2833_2,axiom,
    ( ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2833]) ).

cnf(c_0_2833_3,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2833]) ).

cnf(c_0_2834_0,axiom,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2834]) ).

cnf(c_0_2834_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2834]) ).

cnf(c_0_2834_2,axiom,
    ( ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2834]) ).

cnf(c_0_2834_3,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2834]) ).

cnf(c_0_2835_0,axiom,
    ( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2835]) ).

cnf(c_0_2835_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2835]) ).

cnf(c_0_2835_2,axiom,
    ( ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2835]) ).

cnf(c_0_2835_3,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2835]) ).

cnf(c_0_2836_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2836]) ).

cnf(c_0_2836_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2836]) ).

cnf(c_0_2837_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2837]) ).

cnf(c_0_2837_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2837]) ).

cnf(c_0_2838_0,axiom,
    ( X1 = X2
    | c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2838]) ).

cnf(c_0_2838_1,axiom,
    ( c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) != c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2838]) ).

cnf(c_0_2839_0,axiom,
    ( c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2) = c_Finite__Set_Ocard(X1,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ hBOOL(c_in(X3,X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2839]) ).

cnf(c_0_2839_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2) = c_Finite__Set_Ocard(X1,X2)
    | ~ hBOOL(c_in(X3,X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2839]) ).

cnf(c_0_2839_2,axiom,
    ( ~ hBOOL(c_in(X3,X1,X2))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2) = c_Finite__Set_Ocard(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2839]) ).

cnf(c_0_2840_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2840]) ).

cnf(c_0_2840_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2840]) ).

cnf(c_0_2841_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
    | ~ class_Lattices_Oupper__semilattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2841]) ).

cnf(c_0_2841_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X4)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2841]) ).

cnf(c_0_2842_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
    | ~ class_Lattices_Olattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2842]) ).

cnf(c_0_2842_1,axiom,
    ( ~ class_Lattices_Olattice(X4)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2842]) ).

cnf(c_0_2843_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2843]) ).

cnf(c_0_2843_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2843]) ).

cnf(c_0_2844_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2844]) ).

cnf(c_0_2844_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2844]) ).

cnf(c_0_2845_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
    | ~ class_Lattices_Olattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2845]) ).

cnf(c_0_2845_1,axiom,
    ( ~ class_Lattices_Olattice(X4)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2845]) ).

cnf(c_0_2846_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2846]) ).

cnf(c_0_2846_1,axiom,
    ( ~ class_Lattices_Olower__semilattice(X4)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2846]) ).

cnf(c_0_2847_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2847]) ).

cnf(c_0_2847_1,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2847]) ).

cnf(c_0_2848_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2848]) ).

cnf(c_0_2848_1,axiom,
    ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2848]) ).

cnf(c_0_2848_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2848]) ).

cnf(c_0_2849_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2849]) ).

cnf(c_0_2849_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2849]) ).

cnf(c_0_2849_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2849]) ).

cnf(c_0_2850_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2850]) ).

cnf(c_0_2850_1,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),c_SetInterval_Oord__class_OatLeastLessThan(X2,X4,X3),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2850]) ).

cnf(c_0_2851_0,axiom,
    ( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2851]) ).

cnf(c_0_2851_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(X1,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2851]) ).

cnf(c_0_2851_2,axiom,
    ( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2851]) ).

cnf(c_0_2852_0,axiom,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2852]) ).

cnf(c_0_2852_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2852]) ).

cnf(c_0_2852_2,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2852]) ).

cnf(c_0_2852_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2852]) ).

cnf(c_0_2853_0,axiom,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2853]) ).

cnf(c_0_2853_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2853]) ).

cnf(c_0_2853_2,axiom,
    ( c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2853]) ).

cnf(c_0_2853_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2853]) ).

cnf(c_0_2854_0,axiom,
    ( c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2854]) ).

cnf(c_0_2854_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X5,X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2854]) ).

cnf(c_0_2854_2,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2854]) ).

cnf(c_0_2854_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2854]) ).

cnf(c_0_2855_0,axiom,
    ( c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2855]) ).

cnf(c_0_2855_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X5,X3)
    | c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2855]) ).

cnf(c_0_2855_2,axiom,
    ( c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2855]) ).

cnf(c_0_2855_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2855]) ).

cnf(c_0_2856_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ hBOOL(c_in(X1,c_SetInterval_Oord__class_OlessThan(X2,X3),X3))
    | ~ class_HOL_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2856]) ).

cnf(c_0_2856_1,axiom,
    ( ~ hBOOL(c_in(X1,c_SetInterval_Oord__class_OlessThan(X2,X3),X3))
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_HOL_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2856]) ).

cnf(c_0_2856_2,axiom,
    ( ~ class_HOL_Oord(X3)
    | ~ hBOOL(c_in(X1,c_SetInterval_Oord__class_OlessThan(X2,X3),X3))
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2856]) ).

cnf(c_0_2857_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OlessThan(X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2857]) ).

cnf(c_0_2857_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OlessThan(X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2857]) ).

cnf(c_0_2857_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3),tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OlessThan(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2857]) ).

cnf(c_0_2858_0,axiom,
    ( c_lessequals(X1,X2,X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2858]) ).

cnf(c_0_2858_1,axiom,
    ( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | c_lessequals(X1,X2,X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2858]) ).

cnf(c_0_2858_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | c_lessequals(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2858]) ).

cnf(c_0_2859_0,axiom,
    ( c_lessequals(X1,X3,X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2859]) ).

cnf(c_0_2859_1,axiom,
    ( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | c_lessequals(X1,X3,X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2859]) ).

cnf(c_0_2859_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | c_lessequals(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2859]) ).

cnf(c_0_2860_0,axiom,
    ( c_lessequals(X1,X2,X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2860]) ).

cnf(c_0_2860_1,axiom,
    ( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | c_lessequals(X1,X2,X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2860]) ).

cnf(c_0_2860_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | c_lessequals(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2860]) ).

cnf(c_0_2861_0,axiom,
    ( c_lessequals(X1,X3,X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2861]) ).

cnf(c_0_2861_1,axiom,
    ( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | c_lessequals(X1,X3,X4)
    | ~ class_Lattices_Olower__semilattice(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2861]) ).

cnf(c_0_2861_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X4)
    | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | c_lessequals(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2861]) ).

cnf(c_0_2862_0,axiom,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2862]) ).

cnf(c_0_2862_1,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X2,X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2862]) ).

cnf(c_0_2862_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2862]) ).

cnf(c_0_2863_0,axiom,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2863]) ).

cnf(c_0_2863_1,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2863]) ).

cnf(c_0_2863_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2863]) ).

cnf(c_0_2864_0,axiom,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2864]) ).

cnf(c_0_2864_1,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X2,X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2864]) ).

cnf(c_0_2864_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2864]) ).

cnf(c_0_2865_0,axiom,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2865]) ).

cnf(c_0_2865_1,axiom,
    ( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X1,X4,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2865]) ).

cnf(c_0_2865_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | c_lessequals(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2865]) ).

cnf(c_0_2866_0,axiom,
    ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2866]) ).

cnf(c_0_2866_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2866]) ).

cnf(c_0_2866_2,axiom,
    ( ~ c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2866]) ).

cnf(c_0_2867_0,axiom,
    ( X3 = X1
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
    | ~ c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(X3,X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2867]) ).

cnf(c_0_2867_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | X3 = X1
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
    | ~ c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(X3,X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2867]) ).

cnf(c_0_2867_2,axiom,
    ( ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | X3 = X1
    | ~ c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(X3,X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2867]) ).

cnf(c_0_2867_3,axiom,
    ( ~ c_lessequals(c_Finite__Set_Ocard(X1,X2),c_Finite__Set_Ocard(X3,X2),tc_nat)
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | X3 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2867]) ).

cnf(c_0_2868_0,axiom,
    ( c_Finite__Set_Osetsum(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2868]) ).

cnf(c_0_2868_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
    | c_Finite__Set_Osetsum(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2868]) ).

cnf(c_0_2869_0,axiom,
    ( c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2869]) ).

cnf(c_0_2869_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2869]) ).

cnf(c_0_2870_0,axiom,
    ( c_Finite__Set_Ofinite(X3,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2870]) ).

cnf(c_0_2870_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(X3,X2)
    | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2870]) ).

cnf(c_0_2870_2,axiom,
    ( ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2870]) ).

cnf(c_0_2871_0,axiom,
    ( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2871]) ).

cnf(c_0_2871_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2871]) ).

cnf(c_0_2872_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1),tc_nat)
    | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2872]) ).

cnf(c_0_2872_1,axiom,
    ( ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2872]) ).

cnf(c_0_2873_0,axiom,
    ( hBOOL(c_in(X3,X1,X2))
    | c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(X1,X2))
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2873]) ).

cnf(c_0_2873_1,axiom,
    ( c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(X1,X2))
    | hBOOL(c_in(X3,X1,X2))
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2873]) ).

cnf(c_0_2873_2,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(X1,X2))
    | hBOOL(c_in(X3,X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2873]) ).

cnf(c_0_2874_0,axiom,
    ( c_Finite__Set_Ocard(X1,X2) = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(X1,X2))
    | hBOOL(c_in(X3,X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2874]) ).

cnf(c_0_2874_1,axiom,
    ( c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(X1,X2))
    | c_Finite__Set_Ocard(X1,X2) = c_HOL_Ozero__class_Ozero(tc_nat)
    | hBOOL(c_in(X3,X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2874]) ).

cnf(c_0_2874_2,axiom,
    ( hBOOL(c_in(X3,X1,X2))
    | c_Finite__Set_Ocard(c_Set_Oinsert(X3,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(X1,X2))
    | c_Finite__Set_Ocard(X1,X2) = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2874]) ).

cnf(c_0_2875_0,axiom,
    ( c_Finite__Set_Ofinite(X1,X3)
    | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2875]) ).

cnf(c_0_2875_1,axiom,
    ( ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3)
    | c_Finite__Set_Ofinite(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2875]) ).

cnf(c_0_2876_0,axiom,
    ( c_Finite__Set_Ofinite(X2,X3)
    | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2876]) ).

cnf(c_0_2876_1,axiom,
    ( ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X3)
    | c_Finite__Set_Ofinite(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2876]) ).

cnf(c_0_2877_0,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Osetsum(X3,X1,X2,X4) = c_HOL_Ozero__class_Ozero(X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2877]) ).

cnf(c_0_2877_1,axiom,
    ( c_Finite__Set_Osetsum(X3,X1,X2,X4) = c_HOL_Ozero__class_Ozero(X4)
    | c_Finite__Set_Ofinite(X1,X2)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2877]) ).

cnf(c_0_2877_2,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
    | c_Finite__Set_Osetsum(X3,X1,X2,X4) = c_HOL_Ozero__class_Ozero(X4)
    | c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2877]) ).

cnf(c_0_2878_0,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Osetsum(X3,X1,X2,X4) = c_HOL_Ozero__class_Ozero(X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2878]) ).

cnf(c_0_2878_1,axiom,
    ( c_Finite__Set_Osetsum(X3,X1,X2,X4) = c_HOL_Ozero__class_Ozero(X4)
    | c_Finite__Set_Ofinite(X1,X2)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2878]) ).

cnf(c_0_2878_2,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
    | c_Finite__Set_Osetsum(X3,X1,X2,X4) = c_HOL_Ozero__class_Ozero(X4)
    | c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2878]) ).

cnf(c_0_2879_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,v_x),hAPP(X2,v_x),X3) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(t_a,X3)),v_x)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2879]) ).

cnf(c_0_2879_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(hAPP(X1,v_x),hAPP(X2,v_x),X3) = hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(t_a,X3)),v_x) ),
    inference(literals_permutation,[status(thm)],[c_0_2879]) ).

cnf(c_0_2880_0,axiom,
    ( c_HOL_Ominus__class_Ominus(hAPP(X1,v_x),hAPP(X2,v_x),X3) = hAPP(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(t_a,X3)),v_x)
    | ~ class_HOL_Ominus(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2880]) ).

cnf(c_0_2880_1,axiom,
    ( ~ class_HOL_Ominus(X3)
    | c_HOL_Ominus__class_Ominus(hAPP(X1,v_x),hAPP(X2,v_x),X3) = hAPP(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(t_a,X3)),v_x) ),
    inference(literals_permutation,[status(thm)],[c_0_2880]) ).

cnf(c_0_2881_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(hAPP(X1,v_x),hAPP(X2,v_x),X3) = hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(t_a,X3)),v_x)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2881]) ).

cnf(c_0_2881_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(hAPP(X1,v_x),hAPP(X2,v_x),X3) = hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(t_a,X3)),v_x) ),
    inference(literals_permutation,[status(thm)],[c_0_2881]) ).

cnf(c_0_2882_0,axiom,
    ( c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2882]) ).

cnf(c_0_2882_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),X2)
    | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2882]) ).

cnf(c_0_2882_2,axiom,
    ( ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2882]) ).

cnf(c_0_2883_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2883]) ).

cnf(c_0_2883_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2883]) ).

cnf(c_0_2883_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2883]) ).

cnf(c_0_2884_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2884]) ).

cnf(c_0_2884_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2884]) ).

cnf(c_0_2884_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2884]) ).

cnf(c_0_2885_0,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2885]) ).

cnf(c_0_2885_1,axiom,
    ( ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2885]) ).

cnf(c_0_2885_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | c_lessequals(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2885]) ).

cnf(c_0_2886_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,X2,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2886]) ).

cnf(c_0_2886_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2886]) ).

cnf(c_0_2886_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | c_HOL_Oord__class_Oless(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2886]) ).

cnf(c_0_2887_0,axiom,
    ( c_lessequals(X1,X3,X2)
    | ~ c_lessequals(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OlessThan(X3,X2),tc_fun(X2,tc_bool))
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2887]) ).

cnf(c_0_2887_1,axiom,
    ( ~ c_lessequals(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OlessThan(X3,X2),tc_fun(X2,tc_bool))
    | c_lessequals(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2887]) ).

cnf(c_0_2887_2,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ c_lessequals(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OlessThan(X3,X2),tc_fun(X2,tc_bool))
    | c_lessequals(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2887]) ).

cnf(c_0_2888_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1))
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2888]) ).

cnf(c_0_2888_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X1)
    | c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2888]) ).

cnf(c_0_2889_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2889]) ).

cnf(c_0_2889_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2889]) ).

cnf(c_0_2890_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1))
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2890]) ).

cnf(c_0_2890_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X1)
    | c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2890]) ).

cnf(c_0_2891_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1))
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2891]) ).

cnf(c_0_2891_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2891]) ).

cnf(c_0_2892_0,axiom,
    ( c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(X2,X3),X3)
    | ~ hBOOL(c_in(X1,X2,X3))
    | ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2892]) ).

cnf(c_0_2892_1,axiom,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(X2,X3),X3)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2892]) ).

cnf(c_0_2892_2,axiom,
    ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
    | ~ hBOOL(c_in(X1,X2,X3))
    | c_lessequals(X1,c_Complete__Lattice_OSup__class_OSup(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2892]) ).

cnf(c_0_2893_0,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2893]) ).

cnf(c_0_2893_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2893]) ).

cnf(c_0_2893_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2893]) ).

cnf(c_0_2894_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2894]) ).

cnf(c_0_2894_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2894]) ).

cnf(c_0_2894_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2894]) ).

cnf(c_0_2895_0,axiom,
    ( X1 = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
    | c_Finite__Set_Ocard(X1,X2) != c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2895]) ).

cnf(c_0_2895_1,axiom,
    ( ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
    | X1 = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))
    | c_Finite__Set_Ocard(X1,X2) != c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2895]) ).

cnf(c_0_2895_2,axiom,
    ( c_Finite__Set_Ocard(X1,X2) != c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2)
    | X1 = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2895]) ).

cnf(c_0_2896_0,axiom,
    ( hBOOL(c_in(X1,c_SetInterval_Oord__class_OlessThan(X2,X3),X3))
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_HOL_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2896]) ).

cnf(c_0_2896_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | hBOOL(c_in(X1,c_SetInterval_Oord__class_OlessThan(X2,X3),X3))
    | ~ class_HOL_Oord(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2896]) ).

cnf(c_0_2896_2,axiom,
    ( ~ class_HOL_Oord(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | hBOOL(c_in(X1,c_SetInterval_Oord__class_OlessThan(X2,X3),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2896]) ).

cnf(c_0_2897_0,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2897]) ).

cnf(c_0_2897_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2897]) ).

cnf(c_0_2897_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2897]) ).

cnf(c_0_2898_0,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2898]) ).

cnf(c_0_2898_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2898]) ).

cnf(c_0_2898_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2898]) ).

cnf(c_0_2899_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2899]) ).

cnf(c_0_2899_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2899]) ).

cnf(c_0_2899_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2899]) ).

cnf(c_0_2900_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2900]) ).

cnf(c_0_2900_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2900]) ).

cnf(c_0_2900_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2900]) ).

cnf(c_0_2901_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2901]) ).

cnf(c_0_2901_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2901]) ).

cnf(c_0_2901_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2901]) ).

cnf(c_0_2902_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2902]) ).

cnf(c_0_2902_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2902]) ).

cnf(c_0_2902_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2902]) ).

cnf(c_0_2903_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2903]) ).

cnf(c_0_2903_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2903]) ).

cnf(c_0_2903_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2903]) ).

cnf(c_0_2904_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2904]) ).

cnf(c_0_2904_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2904]) ).

cnf(c_0_2904_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2904]) ).

cnf(c_0_2905_0,axiom,
    ( c_lessequals(c_Finite__Set_Ocard(X3,X2),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2905]) ).

cnf(c_0_2905_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_lessequals(c_Finite__Set_Ocard(X3,X2),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2905]) ).

cnf(c_0_2905_2,axiom,
    ( ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_lessequals(c_Finite__Set_Ocard(X3,X2),c_Finite__Set_Ocard(X1,X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2905]) ).

cnf(c_0_2906_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2906]) ).

cnf(c_0_2906_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2906]) ).

cnf(c_0_2906_2,axiom,
    ( ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2906]) ).

cnf(c_0_2907_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2907]) ).

cnf(c_0_2907_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2907]) ).

cnf(c_0_2907_2,axiom,
    ( ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2907]) ).

cnf(c_0_2908_0,axiom,
    ( c_lessequals(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2908]) ).

cnf(c_0_2908_1,axiom,
    ( ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | c_lessequals(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2908]) ).

cnf(c_0_2908_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | c_lessequals(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2908]) ).

cnf(c_0_2909_0,axiom,
    ( c_lessequals(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2909]) ).

cnf(c_0_2909_1,axiom,
    ( ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | c_lessequals(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2909]) ).

cnf(c_0_2909_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | c_lessequals(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2909]) ).

cnf(c_0_2910_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2910]) ).

cnf(c_0_2910_1,axiom,
    ( ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2910]) ).

cnf(c_0_2910_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2910]) ).

cnf(c_0_2911_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2911]) ).

cnf(c_0_2911_1,axiom,
    ( ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2911]) ).

cnf(c_0_2911_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2911]) ).

cnf(c_0_2912_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2912]) ).

cnf(c_0_2912_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | c_HOL_Oord__class_Oless(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2912]) ).

cnf(c_0_2912_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | c_HOL_Oord__class_Oless(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2912]) ).

cnf(c_0_2913_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2913]) ).

cnf(c_0_2913_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | c_HOL_Oord__class_Oless(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2913]) ).

cnf(c_0_2913_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | c_HOL_Oord__class_Oless(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2913]) ).

cnf(c_0_2914_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2914]) ).

cnf(c_0_2914_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2914]) ).

cnf(c_0_2914_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2914]) ).

cnf(c_0_2915_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2915]) ).

cnf(c_0_2915_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2915]) ).

cnf(c_0_2915_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2915]) ).

cnf(c_0_2916_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OatLeastLessThan(X1,X3,X2),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2916]) ).

cnf(c_0_2916_1,axiom,
    ( ~ class_Orderings_Oorder(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(c_SetInterval_Oord__class_OlessThan(X1,X2),c_SetInterval_Oord__class_OatLeastLessThan(X1,X3,X2),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2916]) ).

cnf(c_0_2917_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)) = X1
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2917]) ).

cnf(c_0_2917_1,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2917]) ).

cnf(c_0_2918_0,axiom,
    ( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | ~ class_HOL_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2918]) ).

cnf(c_0_2918_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
    | ~ class_HOL_Oord(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2918]) ).

cnf(c_0_2918_2,axiom,
    ( ~ class_HOL_Oord(X4)
    | ~ c_lessequals(X1,X2,tc_fun(X3,X4))
    | c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2918]) ).

cnf(c_0_2919_0,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2919]) ).

cnf(c_0_2919_1,axiom,
    ( c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2919]) ).

cnf(c_0_2920_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2920]) ).

cnf(c_0_2920_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2920]) ).

cnf(c_0_2920_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2920]) ).

cnf(c_0_2920_3,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2920]) ).

cnf(c_0_2921_0,axiom,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2921]) ).

cnf(c_0_2921_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2921]) ).

cnf(c_0_2921_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2921]) ).

cnf(c_0_2921_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2921]) ).

cnf(c_0_2922_0,axiom,
    ( c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2922]) ).

cnf(c_0_2922_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2922]) ).

cnf(c_0_2922_2,axiom,
    ( ~ c_lessequals(X4,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2922]) ).

cnf(c_0_2922_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2922]) ).

cnf(c_0_2923_0,axiom,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2923]) ).

cnf(c_0_2923_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2923]) ).

cnf(c_0_2923_2,axiom,
    ( ~ c_lessequals(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2923]) ).

cnf(c_0_2923_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2923]) ).

cnf(c_0_2924_0,axiom,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2924]) ).

cnf(c_0_2924_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2924]) ).

cnf(c_0_2924_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2924]) ).

cnf(c_0_2924_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2924]) ).

cnf(c_0_2925_0,axiom,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2925]) ).

cnf(c_0_2925_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2925]) ).

cnf(c_0_2925_2,axiom,
    ( ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2925]) ).

cnf(c_0_2925_3,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2925]) ).

cnf(c_0_2926_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2926]) ).

cnf(c_0_2926_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2926]) ).

cnf(c_0_2926_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2926]) ).

cnf(c_0_2926_3,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2926]) ).

cnf(c_0_2927_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2927]) ).

cnf(c_0_2927_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2927]) ).

cnf(c_0_2927_2,axiom,
    ( ~ c_lessequals(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2927]) ).

cnf(c_0_2927_3,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2927]) ).

cnf(c_0_2928_0,axiom,
    ( c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = X1
    | ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2928]) ).

cnf(c_0_2928_1,axiom,
    ( ~ class_Complete__Lattice_Ocomplete__lattice(X2)
    | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2928]) ).

cnf(c_0_2929_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2929]) ).

cnf(c_0_2929_1,axiom,
    ( ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2929]) ).

cnf(c_0_2930_0,axiom,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2930]) ).

cnf(c_0_2930_1,axiom,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | c_Set_Oinsert(X1,X2,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2930]) ).

cnf(c_0_2931_0,axiom,
    ( c_lessequals(X1,X3,tc_nat)
    | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2931]) ).

cnf(c_0_2931_1,axiom,
    ( ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_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_2931]) ).

cnf(c_0_2931_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X2)
    | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)
    | c_lessequals(X1,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2931]) ).

cnf(c_0_2932_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X3,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2932]) ).

cnf(c_0_2932_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)
    | c_HOL_Oord__class_Oless(X1,X3,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2932]) ).

cnf(c_0_2932_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X2)
    | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X3,X2),X2)
    | c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2932]) ).

cnf(c_0_2933_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Suc(X1),X3,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2933]) ).

cnf(c_0_2933_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(c_Suc(X1),X3,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2933]) ).

cnf(c_0_2933_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(c_Suc(X1),X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2933]) ).

cnf(c_0_2934_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2934]) ).

cnf(c_0_2934_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2934]) ).

cnf(c_0_2934_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2934]) ).

cnf(c_0_2935_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2935]) ).

cnf(c_0_2935_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2935]) ).

cnf(c_0_2935_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2935]) ).

cnf(c_0_2936_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2936]) ).

cnf(c_0_2936_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2936]) ).

cnf(c_0_2936_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2936]) ).

cnf(c_0_2937_0,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2937]) ).

cnf(c_0_2937_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2937]) ).

cnf(c_0_2937_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2937]) ).

cnf(c_0_2938_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2938]) ).

cnf(c_0_2938_1,axiom,
    ( ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2938]) ).

cnf(c_0_2938_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2938]) ).

cnf(c_0_2939_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2939]) ).

cnf(c_0_2939_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2939]) ).

cnf(c_0_2939_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2939]) ).

cnf(c_0_2940_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2940]) ).

cnf(c_0_2940_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2940]) ).

cnf(c_0_2940_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2940]) ).

cnf(c_0_2940_3,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2940]) ).

cnf(c_0_2941_0,axiom,
    ( c_lessequals(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OlessThan(X2,X3),tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2941]) ).

cnf(c_0_2941_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OlessThan(X2,X3),tc_fun(X3,tc_bool))
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2941]) ).

cnf(c_0_2941_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_SetInterval_Oord__class_OlessThan(X1,X3),c_SetInterval_Oord__class_OlessThan(X2,X3),tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2941]) ).

cnf(c_0_2942_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2942]) ).

cnf(c_0_2942_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2942]) ).

cnf(c_0_2943_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2943]) ).

cnf(c_0_2943_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2943]) ).

cnf(c_0_2944_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2944]) ).

cnf(c_0_2944_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2944]) ).

cnf(c_0_2945_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2945]) ).

cnf(c_0_2945_1,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2945]) ).

cnf(c_0_2946_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2946]) ).

cnf(c_0_2946_1,axiom,
    ( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2946]) ).

cnf(c_0_2946_2,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2946]) ).

cnf(c_0_2947_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2947]) ).

cnf(c_0_2947_1,axiom,
    ( c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2947]) ).

cnf(c_0_2947_2,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2947]) ).

cnf(c_0_2948_0,axiom,
    ( c_lessequals(X1,X3,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2948]) ).

cnf(c_0_2948_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | c_lessequals(X1,X3,tc_nat)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2948]) ).

cnf(c_0_2948_2,axiom,
    ( ~ c_lessequals(X2,X3,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat)
    | c_lessequals(X1,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2948]) ).

cnf(c_0_2949_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2949]) ).

cnf(c_0_2949_1,axiom,
    ( ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2949]) ).

cnf(c_0_2949_2,axiom,
    ( ~ class_OrderedGroup_Oordered__ab__group__add(X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2949]) ).

cnf(c_0_2950_0,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2950]) ).

cnf(c_0_2950_1,axiom,
    ( ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2950]) ).

cnf(c_0_2950_2,axiom,
    ( ~ class_OrderedGroup_Oordered__ab__group__add(X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2950]) ).

cnf(c_0_2951_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2951]) ).

cnf(c_0_2951_1,axiom,
    ( ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2951]) ).

cnf(c_0_2951_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2951]) ).

cnf(c_0_2952_0,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2952]) ).

cnf(c_0_2952_1,axiom,
    ( ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2952]) ).

cnf(c_0_2952_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2952]) ).

cnf(c_0_2953_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2953]) ).

cnf(c_0_2953_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2953]) ).

cnf(c_0_2953_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2953]) ).

cnf(c_0_2954_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2) = X3
    | c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) != c_Orderings_Obot__class_Obot(X1)
    | c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2954]) ).

cnf(c_0_2954_1,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) != c_Orderings_Obot__class_Obot(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2) = X3
    | c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2954]) ).

cnf(c_0_2954_2,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != c_Orderings_Otop__class_Otop(X1)
    | c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) != c_Orderings_Obot__class_Obot(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2) = X3
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2954]) ).

cnf(c_0_2954_3,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X1)
    | c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != c_Orderings_Otop__class_Otop(X1)
    | c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) != c_Orderings_Obot__class_Obot(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_2954]) ).

cnf(c_0_2955_0,axiom,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2955]) ).

cnf(c_0_2955_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2955]) ).

cnf(c_0_2955_2,axiom,
    ( ~ c_Finite__Set_Ofinite(X3,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X3,X1,tc_fun(X2,tc_bool)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2955]) ).

cnf(c_0_2956_0,axiom,
    ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2956]) ).

cnf(c_0_2956_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2956]) ).

cnf(c_0_2956_2,axiom,
    ( ~ c_Finite__Set_Ofinite(X3,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2956]) ).

cnf(c_0_2957_0,axiom,
    ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2957]) ).

cnf(c_0_2957_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2957]) ).

cnf(c_0_2957_2,axiom,
    ( ~ c_Finite__Set_Ofinite(X3,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2957]) ).

cnf(c_0_2958_0,axiom,
    ( X1 = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2958]) ).

cnf(c_0_2958_1,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2958]) ).

cnf(c_0_2959_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Complete__Lattice_OSup__class_OSup(X2,X3),X3) = c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,X2,X3),X3)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2959]) ).

cnf(c_0_2959_1,axiom,
    ( ~ class_Complete__Lattice_Ocomplete__lattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Complete__Lattice_OSup__class_OSup(X2,X3),X3) = c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2959]) ).

cnf(c_0_2960_0,axiom,
    ( hBOOL(hAPP(X2,X1))
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2960]) ).

cnf(c_0_2960_1,axiom,
    ( ~ hBOOL(c_in(X1,X2,X3))
    | hBOOL(hAPP(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2960]) ).

cnf(c_0_2961_0,axiom,
    ( c_Finite__Set_Ofinite(X2,X3)
    | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2961]) ).

cnf(c_0_2961_1,axiom,
    ( ~ c_Finite__Set_Ofinite(c_Set_Oinsert(X1,X2,X3),X3)
    | c_Finite__Set_Ofinite(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2961]) ).

cnf(c_0_2962_0,axiom,
    ( c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2962]) ).

cnf(c_0_2962_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2962]) ).

cnf(c_0_2962_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2962]) ).

cnf(c_0_2962_3,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2962]) ).

cnf(c_0_2963_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2963]) ).

cnf(c_0_2963_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2963]) ).

cnf(c_0_2963_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2963]) ).

cnf(c_0_2964_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2964]) ).

cnf(c_0_2964_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2964]) ).

cnf(c_0_2964_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2964]) ).

cnf(c_0_2965_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2965]) ).

cnf(c_0_2965_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2965]) ).

cnf(c_0_2965_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2965]) ).

cnf(c_0_2966_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2966]) ).

cnf(c_0_2966_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2966]) ).

cnf(c_0_2966_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2966]) ).

cnf(c_0_2967_0,axiom,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2967]) ).

cnf(c_0_2967_1,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2
    | c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2967]) ).

cnf(c_0_2968_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = X1
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2968]) ).

cnf(c_0_2968_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2968]) ).

cnf(c_0_2969_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)) = X1
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2969]) ).

cnf(c_0_2969_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2969]) ).

cnf(c_0_2970_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2970]) ).

cnf(c_0_2970_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2970]) ).

cnf(c_0_2971_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2971]) ).

cnf(c_0_2971_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2971]) ).

cnf(c_0_2972_0,axiom,
    ( hBOOL(hAPP(X2,X4))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ hBOOL(hAPP(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2972]) ).

cnf(c_0_2972_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(X2,X4))
    | ~ hBOOL(hAPP(X1,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2972]) ).

cnf(c_0_2972_2,axiom,
    ( ~ hBOOL(hAPP(X1,X4))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | hBOOL(hAPP(X2,X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2972]) ).

cnf(c_0_2973_0,axiom,
    ( hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(X1,X2))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2973]) ).

cnf(c_0_2973_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X3,X2))
    | ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2973]) ).

cnf(c_0_2973_2,axiom,
    ( ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
    | ~ hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2973]) ).

cnf(c_0_2974_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2974]) ).

cnf(c_0_2974_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2974]) ).

cnf(c_0_2974_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2974]) ).

cnf(c_0_2975_0,axiom,
    ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_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_2975]) ).

cnf(c_0_2975_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2975]) ).

cnf(c_0_2975_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X3)
    | ~ c_lessequals(X1,X2,tc_nat)
    | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2975]) ).

cnf(c_0_2976_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2976]) ).

cnf(c_0_2976_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2976]) ).

cnf(c_0_2976_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X3),c_Nat_Osemiring__1__class_Oof__nat(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2976]) ).

cnf(c_0_2977_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2977]) ).

cnf(c_0_2977_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2977]) ).

cnf(c_0_2977_2,axiom,
    ( ~ class_OrderedGroup_Oordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2977]) ).

cnf(c_0_2978_0,axiom,
    ( c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2978]) ).

cnf(c_0_2978_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2978]) ).

cnf(c_0_2978_2,axiom,
    ( ~ class_OrderedGroup_Oordered__ab__group__add(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2978]) ).

cnf(c_0_2979_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2979]) ).

cnf(c_0_2979_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2979]) ).

cnf(c_0_2979_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2979]) ).

cnf(c_0_2980_0,axiom,
    ( c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2980]) ).

cnf(c_0_2980_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2980]) ).

cnf(c_0_2980_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2980]) ).

cnf(c_0_2981_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2981]) ).

cnf(c_0_2981_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2981]) ).

cnf(c_0_2981_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2981]) ).

cnf(c_0_2982_0,axiom,
    ( hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(t_a,X1)),X2),v_x) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(X2,v_x))
    | ~ class_HOL_Ouminus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2982]) ).

cnf(c_0_2982_1,axiom,
    ( ~ class_HOL_Ouminus(X1)
    | hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(t_a,X1)),X2),v_x) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(X2,v_x)) ),
    inference(literals_permutation,[status(thm)],[c_0_2982]) ).

cnf(c_0_2983_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2983]) ).

cnf(c_0_2983_1,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2983]) ).

cnf(c_0_2984_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2984]) ).

cnf(c_0_2984_1,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X2,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_2984]) ).

cnf(c_0_2985_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2985]) ).

cnf(c_0_2985_1,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2985]) ).

cnf(c_0_2985_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2985]) ).

cnf(c_0_2985_3,axiom,
    ( hBOOL(hAPP(hAPP(X3,X2),X1))
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2985]) ).

cnf(c_0_2986_0,axiom,
    ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2986]) ).

cnf(c_0_2986_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X2,tc_bool)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2986]) ).

cnf(c_0_2987_0,axiom,
    ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2987]) ).

cnf(c_0_2987_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X2,tc_bool)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2987]) ).

cnf(c_0_2988_0,axiom,
    ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool)),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2988]) ).

cnf(c_0_2988_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X2,tc_bool)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2988]) ).

cnf(c_0_2989_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)) = c_HOL_Ominus__class_Ominus(X3,X2,X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2989]) ).

cnf(c_0_2989_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)) = c_HOL_Ominus__class_Ominus(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2989]) ).

cnf(c_0_2990_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2990]) ).

cnf(c_0_2990_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2990]) ).

cnf(c_0_2990_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2990]) ).

cnf(c_0_2991_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2991]) ).

cnf(c_0_2991_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2991]) ).

cnf(c_0_2991_2,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2991]) ).

cnf(c_0_2991_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2991]) ).

cnf(c_0_2992_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2992]) ).

cnf(c_0_2992_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2992]) ).

cnf(c_0_2992_2,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2992]) ).

cnf(c_0_2992_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2992]) ).

cnf(c_0_2993_0,axiom,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2993]) ).

cnf(c_0_2993_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X2 = X1
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2993]) ).

cnf(c_0_2993_2,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X2 = X1
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2993]) ).

cnf(c_0_2993_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2993]) ).

cnf(c_0_2994_0,axiom,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2994]) ).

cnf(c_0_2994_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | X1 = X2
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2994]) ).

cnf(c_0_2994_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2994]) ).

cnf(c_0_2995_0,axiom,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2995]) ).

cnf(c_0_2995_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | X1 = X2
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2995]) ).

cnf(c_0_2995_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X4)
    | c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2995]) ).

cnf(c_0_2996_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2996]) ).

cnf(c_0_2996_1,axiom,
    ( ~ c_lessequals(X1,X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2996]) ).

cnf(c_0_2996_2,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ c_lessequals(X1,X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2996]) ).

cnf(c_0_2997_0,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2997]) ).

cnf(c_0_2997_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2997]) ).

cnf(c_0_2997_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2997]) ).

cnf(c_0_2998_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2998]) ).

cnf(c_0_2998_1,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2998]) ).

cnf(c_0_2998_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2998]) ).

cnf(c_0_2999_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2999]) ).

cnf(c_0_2999_1,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2999]) ).

cnf(c_0_2999_2,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2999]) ).

cnf(c_0_3000_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3000]) ).

cnf(c_0_3000_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3000]) ).

cnf(c_0_3000_2,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3000]) ).

cnf(c_0_3001_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3001]) ).

cnf(c_0_3001_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3001]) ).

cnf(c_0_3001_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3001]) ).

cnf(c_0_3002_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3002]) ).

cnf(c_0_3002_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3002]) ).

cnf(c_0_3002_2,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3002]) ).

cnf(c_0_3003_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3003]) ).

cnf(c_0_3003_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3003]) ).

cnf(c_0_3003_2,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3003]) ).

cnf(c_0_3004_0,axiom,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3004]) ).

cnf(c_0_3004_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | X2 = X1
    | ~ c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3004]) ).

cnf(c_0_3004_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_3004]) ).

cnf(c_0_3005_0,axiom,
    ( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3005]) ).

cnf(c_0_3005_1,axiom,
    ( ~ c_lessequals(X2,X1,tc_nat)
    | ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3005]) ).

cnf(c_0_3006_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3006]) ).

cnf(c_0_3006_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3006]) ).

cnf(c_0_3007_0,axiom,
    ( c_SetInterval_Oord__class_OatLeastLessThan(X2,X1,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3007]) ).

cnf(c_0_3007_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_SetInterval_Oord__class_OatLeastLessThan(X2,X1,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3007]) ).

cnf(c_0_3007_2,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_SetInterval_Oord__class_OatLeastLessThan(X2,X1,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_3007]) ).

cnf(c_0_3008_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3008]) ).

cnf(c_0_3008_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | X1 = X2
    | ~ c_lessequals(X2,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3008]) ).

cnf(c_0_3008_2,axiom,
    ( ~ c_lessequals(X2,X1,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3008]) ).

cnf(c_0_3009_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = X1
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3009]) ).

cnf(c_0_3009_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_3009]) ).

cnf(c_0_3010_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = X1
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3010]) ).

cnf(c_0_3010_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_3010]) ).

cnf(c_0_3011_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) = X1
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3011]) ).

cnf(c_0_3011_1,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) = X1
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3011]) ).

cnf(c_0_3011_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) = X1
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3011]) ).

cnf(c_0_3011_3,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) = X1
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3011]) ).

cnf(c_0_3012_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3012]) ).

cnf(c_0_3012_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3012]) ).

cnf(c_0_3013_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3013]) ).

cnf(c_0_3013_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3013]) ).

cnf(c_0_3014_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3014]) ).

cnf(c_0_3014_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3014]) ).

cnf(c_0_3015_0,axiom,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3015]) ).

cnf(c_0_3015_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3015]) ).

cnf(c_0_3016_0,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3016]) ).

cnf(c_0_3016_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3016]) ).

cnf(c_0_3017_0,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3017]) ).

cnf(c_0_3017_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3017]) ).

cnf(c_0_3018_0,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3018]) ).

cnf(c_0_3018_1,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3018]) ).

cnf(c_0_3019_0,axiom,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3019]) ).

cnf(c_0_3019_1,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3019]) ).

cnf(c_0_3020_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3020]) ).

cnf(c_0_3020_1,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3020]) ).

cnf(c_0_3020_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3020]) ).

cnf(c_0_3021_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3021]) ).

cnf(c_0_3021_1,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3021]) ).

cnf(c_0_3021_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3021]) ).

cnf(c_0_3022_0,axiom,
    ( c_Finite__Set_Ofinite(X1,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3022]) ).

cnf(c_0_3022_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Finite__Set_Ofinite(X1,X3)
    | ~ c_Finite__Set_Ofinite(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3022]) ).

cnf(c_0_3022_2,axiom,
    ( ~ c_Finite__Set_Ofinite(X2,X3)
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | c_Finite__Set_Ofinite(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3022]) ).

cnf(c_0_3023_0,axiom,
    ( c_Finite__Set_Ofinite(X3,X2)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_3023]) ).

cnf(c_0_3023_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(X3,X2)
    | ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_3023]) ).

cnf(c_0_3023_2,axiom,
    ( ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3023]) ).

cnf(c_0_3024_0,axiom,
    ( hBOOL(c_in(X2,X1,X3))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_3024]) ).

cnf(c_0_3024_1,axiom,
    ( ~ hBOOL(hAPP(X1,X2))
    | hBOOL(c_in(X2,X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_3024]) ).

cnf(c_0_3025_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3025]) ).

cnf(c_0_3025_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3025]) ).

cnf(c_0_3026_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_3026]) ).

cnf(c_0_3026_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_3026]) ).

cnf(c_0_3027_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3027]) ).

cnf(c_0_3027_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3027]) ).

cnf(c_0_3028_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | X1 = c_Suc(X2)
    | ~ c_lessequals(X1,c_Suc(X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3028]) ).

cnf(c_0_3028_1,axiom,
    ( X1 = c_Suc(X2)
    | c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(X1,c_Suc(X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3028]) ).

cnf(c_0_3028_2,axiom,
    ( ~ c_lessequals(X1,c_Suc(X2),tc_nat)
    | X1 = c_Suc(X2)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3028]) ).

cnf(c_0_3029_0,axiom,
    ( X2 = X1
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3029]) ).

cnf(c_0_3029_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3029]) ).

cnf(c_0_3029_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X2 = X1
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3029]) ).

cnf(c_0_3029_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_3029]) ).

cnf(c_0_3030_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3030]) ).

cnf(c_0_3030_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3030]) ).

cnf(c_0_3030_2,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3030]) ).

cnf(c_0_3030_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3030]) ).

cnf(c_0_3031_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3031]) ).

cnf(c_0_3031_1,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3031]) ).

cnf(c_0_3031_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3031]) ).

cnf(c_0_3031_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3031]) ).

cnf(c_0_3032_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3032]) ).

cnf(c_0_3032_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3032]) ).

cnf(c_0_3032_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3032]) ).

cnf(c_0_3032_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3032]) ).

cnf(c_0_3033_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3033]) ).

cnf(c_0_3033_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3033]) ).

cnf(c_0_3033_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3033]) ).

cnf(c_0_3033_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3033]) ).

cnf(c_0_3034_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3034]) ).

cnf(c_0_3034_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3034]) ).

cnf(c_0_3034_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3034]) ).

cnf(c_0_3034_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3034]) ).

cnf(c_0_3035_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3035]) ).

cnf(c_0_3035_1,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3035]) ).

cnf(c_0_3035_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3035]) ).

cnf(c_0_3035_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3035]) ).

cnf(c_0_3036_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3036]) ).

cnf(c_0_3036_1,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3036]) ).

cnf(c_0_3036_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3036]) ).

cnf(c_0_3036_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3036]) ).

cnf(c_0_3037_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) != X1
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3037]) ).

cnf(c_0_3037_1,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) != X1
    | c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3037]) ).

cnf(c_0_3037_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) != X1
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3037]) ).

cnf(c_0_3038_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3038]) ).

cnf(c_0_3038_1,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
    | c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3038]) ).

cnf(c_0_3038_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3038]) ).

cnf(c_0_3039_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3039]) ).

cnf(c_0_3039_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3039]) ).

cnf(c_0_3040_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3040]) ).

cnf(c_0_3040_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(c_Suc(X1),c_Suc(X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3040]) ).

cnf(c_0_3041_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_3041]) ).

cnf(c_0_3041_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_3041]) ).

cnf(c_0_3042_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3042]) ).

cnf(c_0_3042_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = X1
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3042]) ).

cnf(c_0_3042_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_3042]) ).

cnf(c_0_3043_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3043]) ).

cnf(c_0_3043_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) = X1
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3043]) ).

cnf(c_0_3043_2,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_3043]) ).

cnf(c_0_3044_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3044]) ).

cnf(c_0_3044_1,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3044]) ).

cnf(c_0_3044_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3044]) ).

cnf(c_0_3045_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X2 = X1
    | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3045]) ).

cnf(c_0_3045_1,axiom,
    ( X2 = X1
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3045]) ).

cnf(c_0_3045_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | X2 = X1
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3045]) ).

cnf(c_0_3046_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3046]) ).

cnf(c_0_3046_1,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3046]) ).

cnf(c_0_3046_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3046]) ).

cnf(c_0_3047_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3047]) ).

cnf(c_0_3047_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3047]) ).

cnf(c_0_3047_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3047]) ).

cnf(c_0_3048_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3048]) ).

cnf(c_0_3048_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3048]) ).

cnf(c_0_3048_2,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3048]) ).

cnf(c_0_3049_0,axiom,
    ( c_Suc(X1) = X2
    | c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3049]) ).

cnf(c_0_3049_1,axiom,
    ( c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
    | c_Suc(X1) = X2
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3049]) ).

cnf(c_0_3049_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
    | c_Suc(X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3049]) ).

cnf(c_0_3050_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3050]) ).

cnf(c_0_3050_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3050]) ).

cnf(c_0_3050_2,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3050]) ).

cnf(c_0_3051_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3051]) ).

cnf(c_0_3051_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3051]) ).

cnf(c_0_3051_2,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3051]) ).

cnf(c_0_3052_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3052]) ).

cnf(c_0_3052_1,axiom,
    ( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3052]) ).

cnf(c_0_3053_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3053]) ).

cnf(c_0_3053_1,axiom,
    ( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3053]) ).

cnf(c_0_3054_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3054]) ).

cnf(c_0_3054_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3054]) ).

cnf(c_0_3055_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(c_Suc(X1),X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3055]) ).

cnf(c_0_3055_1,axiom,
    ( ~ c_lessequals(c_Suc(X1),X2,tc_nat)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3055]) ).

cnf(c_0_3056_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3056]) ).

cnf(c_0_3056_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_Suc(X1),X2,tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3056]) ).

cnf(c_0_3057_0,axiom,
    ( c_Finite__Set_Ofinite(c_Set_Oinsert(X3,X1,X2),X2)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3057]) ).

cnf(c_0_3057_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ofinite(c_Set_Oinsert(X3,X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3057]) ).

cnf(c_0_3058_0,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3058]) ).

cnf(c_0_3058_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3058]) ).

cnf(c_0_3059_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3059]) ).

cnf(c_0_3059_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X2)
    | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3059]) ).

cnf(c_0_3060_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3060]) ).

cnf(c_0_3060_1,axiom,
    ( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3060]) ).

cnf(c_0_3060_2,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3060]) ).

cnf(c_0_3061_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3061]) ).

cnf(c_0_3061_1,axiom,
    ( c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3061]) ).

cnf(c_0_3061_2,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | c_SetInterval_Oord__class_OatLeastLessThan(X1,X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3061]) ).

cnf(c_0_3062_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3062]) ).

cnf(c_0_3062_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3062]) ).

cnf(c_0_3063_0,axiom,
    ( c_lessequals(c_Suc(X1),X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3063]) ).

cnf(c_0_3063_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_lessequals(c_Suc(X1),X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3063]) ).

cnf(c_0_3064_0,axiom,
    ( c_lessequals(c_Suc(X1),X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3064]) ).

cnf(c_0_3064_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_lessequals(c_Suc(X1),X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3064]) ).

cnf(c_0_3065_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)
    | ~ c_lessequals(X1,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3065]) ).

cnf(c_0_3065_1,axiom,
    ( ~ c_lessequals(X1,X1,tc_nat)
    | c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3065]) ).

cnf(c_0_3066_0,axiom,
    ( c_lessequals(X1,c_Suc(X2),tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3066]) ).

cnf(c_0_3066_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | c_lessequals(X1,c_Suc(X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3066]) ).

cnf(c_0_3067_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3067]) ).

cnf(c_0_3067_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X1,c_Suc(X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3067]) ).

cnf(c_0_3068_0,axiom,
    ( c_Fun_Osurj(X1,X2,X3)
    | ~ c_Fun_Obij(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3068]) ).

cnf(c_0_3068_1,axiom,
    ( ~ c_Fun_Obij(X1,X2,X3)
    | c_Fun_Osurj(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3068]) ).

cnf(c_0_3069_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3069]) ).

cnf(c_0_3069_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3069]) ).

cnf(c_0_3069_2,axiom,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3069]) ).

cnf(c_0_3070_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3070]) ).

cnf(c_0_3070_1,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3070]) ).

cnf(c_0_3070_2,axiom,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3070]) ).

cnf(c_0_3071_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3071]) ).

cnf(c_0_3071_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3071]) ).

cnf(c_0_3071_2,axiom,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3071]) ).

cnf(c_0_3072_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3072]) ).

cnf(c_0_3072_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3072]) ).

cnf(c_0_3073_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3073]) ).

cnf(c_0_3073_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3073]) ).

cnf(c_0_3074_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | c_SetInterval_Oord__class_OatLeastLessThan(X1,c_Suc(X2),tc_nat) = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_3074]) ).

cnf(c_0_3074_1,axiom,
    ( c_SetInterval_Oord__class_OatLeastLessThan(X1,c_Suc(X2),tc_nat) = c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool))
    | c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3074]) ).

cnf(c_0_3075_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3075]) ).

cnf(c_0_3075_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3075]) ).

cnf(c_0_3075_2,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X1,X2),tc_nat)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_3075]) ).

cnf(c_0_3076_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3076]) ).

cnf(c_0_3076_1,axiom,
    ( c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3076]) ).

cnf(c_0_3076_2,axiom,
    ( ~ class_Power_Opower(X2)
    | c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3076]) ).

cnf(c_0_3076_3,axiom,
    ( ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Power_Opower(X2)
    | c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3076]) ).

cnf(c_0_3076_4,axiom,
    ( ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Power_Opower(X2)
    | c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3076]) ).

cnf(c_0_3076_5,axiom,
    ( ~ class_Ring__and__Field_Ozero__neq__one(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Power_Opower(X2)
    | c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3076]) ).

cnf(c_0_3077_0,axiom,
    ( c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3077]) ).

cnf(c_0_3077_1,axiom,
    ( ~ class_Power_Opower(X2)
    | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3077]) ).

cnf(c_0_3077_2,axiom,
    ( ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Power_Opower(X2)
    | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3077]) ).

cnf(c_0_3077_3,axiom,
    ( ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Power_Opower(X2)
    | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3077]) ).

cnf(c_0_3077_4,axiom,
    ( ~ class_Ring__and__Field_Ozero__neq__one(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Power_Opower(X2)
    | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2) != c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3077]) ).

cnf(c_0_3078_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3078]) ).

cnf(c_0_3078_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3078]) ).

cnf(c_0_3078_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3078]) ).

cnf(c_0_3078_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3078]) ).

cnf(c_0_3079_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3079]) ).

cnf(c_0_3079_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3079]) ).

cnf(c_0_3079_2,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3079]) ).

cnf(c_0_3079_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3079]) ).

cnf(c_0_3080_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3080]) ).

cnf(c_0_3080_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3080]) ).

cnf(c_0_3080_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3080]) ).

cnf(c_0_3080_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3080]) ).

cnf(c_0_3081_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3081]) ).

cnf(c_0_3081_1,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3081]) ).

cnf(c_0_3081_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3081]) ).

cnf(c_0_3081_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3081]) ).

cnf(c_0_3082_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X2 = X1
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3082]) ).

cnf(c_0_3082_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X2 = X1
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3082]) ).

cnf(c_0_3082_2,axiom,
    ( X2 = X1
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3082]) ).

cnf(c_0_3082_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | X2 = X1
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3082]) ).

cnf(c_0_3083_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3083]) ).

cnf(c_0_3083_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3083]) ).

cnf(c_0_3083_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3083]) ).

cnf(c_0_3084_0,axiom,
    ( c_lessequals(X1,X1,X2)
    | c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3084]) ).

cnf(c_0_3084_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X1,X2)
    | c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3084]) ).

cnf(c_0_3084_2,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | c_HOL_Oord__class_Oless(X1,X1,X2)
    | c_lessequals(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3084]) ).

cnf(c_0_3085_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3085]) ).

cnf(c_0_3085_1,axiom,
    ( c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3085]) ).

cnf(c_0_3085_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3085]) ).

cnf(c_0_3086_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3086]) ).

cnf(c_0_3086_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3086]) ).

cnf(c_0_3086_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3086]) ).

cnf(c_0_3087_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3087]) ).

cnf(c_0_3087_1,axiom,
    ( c_lessequals(X2,X1,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3087]) ).

cnf(c_0_3087_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X2,X1,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3087]) ).

cnf(c_0_3088_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3088]) ).

cnf(c_0_3088_1,axiom,
    ( ~ class_Lattices_Olower__semilattice(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3088]) ).

cnf(c_0_3089_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3089]) ).

cnf(c_0_3089_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3089]) ).

cnf(c_0_3090_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3090]) ).

cnf(c_0_3090_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3090]) ).

cnf(c_0_3091_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
    | ~ class_Lattices_Olattice(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3091]) ).

cnf(c_0_3091_1,axiom,
    ( ~ class_Lattices_Olattice(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3091]) ).

cnf(c_0_3092_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | c_lessequals(c_Suc(X2),X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3092]) ).

cnf(c_0_3092_1,axiom,
    ( c_lessequals(c_Suc(X2),X1,tc_nat)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3092]) ).

cnf(c_0_3093_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat)
    | c_HOL_Oord__class_Oless(X1,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3093]) ).

cnf(c_0_3093_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X1,tc_nat)
    | c_HOL_Oord__class_Oless(X1,c_Suc(X1),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3093]) ).

cnf(c_0_3094_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3094]) ).

cnf(c_0_3094_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_Suc(X1),tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3094]) ).

cnf(c_0_3095_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3095]) ).

cnf(c_0_3095_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3095]) ).

cnf(c_0_3095_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3095]) ).

cnf(c_0_3096_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3096]) ).

cnf(c_0_3096_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3096]) ).

cnf(c_0_3096_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3096]) ).

cnf(c_0_3097_0,axiom,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3097]) ).

cnf(c_0_3097_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3097]) ).

cnf(c_0_3097_2,axiom,
    ( ~ class_Int_Onumber__ring(X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3097]) ).

cnf(c_0_3097_3,axiom,
    ( ~ class_Ring__and__Field_Oidom(X3)
    | ~ class_Int_Onumber__ring(X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3097]) ).

cnf(c_0_3098_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3098]) ).

cnf(c_0_3098_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3098]) ).

cnf(c_0_3099_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | c_lessequals(X2,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3099]) ).

cnf(c_0_3099_1,axiom,
    ( c_lessequals(X2,X1,tc_nat)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3099]) ).

cnf(c_0_3100_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3100]) ).

cnf(c_0_3100_1,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
    | X1 = c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3100]) ).

cnf(c_0_3100_2,axiom,
    ( ~ class_Lattices_Obounded__lattice(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
    | X1 = c_Orderings_Obot__class_Obot(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3100]) ).

cnf(c_0_3101_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2) != c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3101]) ).

cnf(c_0_3101_1,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2) != c_Orderings_Obot__class_Obot(X2)
    | X1 = c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3101]) ).

cnf(c_0_3101_2,axiom,
    ( ~ class_Lattices_Obounded__lattice(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X2) != c_Orderings_Obot__class_Obot(X2)
    | X1 = c_Orderings_Obot__class_Obot(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3101]) ).

cnf(c_0_3102_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3102]) ).

cnf(c_0_3102_1,axiom,
    ( c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3102]) ).

cnf(c_0_3102_2,axiom,
    ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X2)
    | c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3102]) ).

cnf(c_0_3103_0,axiom,
    ( X1 = c_Orderings_Otop__class_Otop(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2) != c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3103]) ).

cnf(c_0_3103_1,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2) != c_Orderings_Otop__class_Otop(X2)
    | X1 = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3103]) ).

cnf(c_0_3103_2,axiom,
    ( ~ class_Lattices_Obounded__lattice(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2) != c_Orderings_Otop__class_Otop(X2)
    | X1 = c_Orderings_Otop__class_Otop(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3103]) ).

cnf(c_0_3104_0,axiom,
    ( X1 = c_Orderings_Otop__class_Otop(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X2) != c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3104]) ).

cnf(c_0_3104_1,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X2) != c_Orderings_Otop__class_Otop(X2)
    | X1 = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3104]) ).

cnf(c_0_3104_2,axiom,
    ( ~ class_Lattices_Obounded__lattice(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X2) != c_Orderings_Otop__class_Otop(X2)
    | X1 = c_Orderings_Otop__class_Otop(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3104]) ).

cnf(c_0_3105_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) = c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3105]) ).

cnf(c_0_3105_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) = c_Orderings_Obot__class_Obot(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3105]) ).

cnf(c_0_3106_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3106]) ).

cnf(c_0_3106_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X1)
    | c_Lattices_Olower__semilattice__class_Oinf(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1) = c_Orderings_Obot__class_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3106]) ).

cnf(c_0_3107_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3107]) ).

cnf(c_0_3107_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X1)
    | c_Lattices_Oupper__semilattice__class_Osup(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1) = c_Orderings_Otop__class_Otop(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3107]) ).

cnf(c_0_3108_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3108]) ).

cnf(c_0_3108_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) = c_Orderings_Otop__class_Otop(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3108]) ).

cnf(c_0_3109_0,axiom,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3109]) ).

cnf(c_0_3109_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3109]) ).

cnf(c_0_3109_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3109]) ).

cnf(c_0_3110_0,axiom,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3110]) ).

cnf(c_0_3110_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3110]) ).

cnf(c_0_3110_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3110]) ).

cnf(c_0_3111_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3111]) ).

cnf(c_0_3111_1,axiom,
    ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ class_Power_Opower(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3111]) ).

cnf(c_0_3111_2,axiom,
    ( ~ class_Power_Opower(X2)
    | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3111]) ).

cnf(c_0_3111_3,axiom,
    ( ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Power_Opower(X2)
    | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3111]) ).

cnf(c_0_3111_4,axiom,
    ( ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Power_Opower(X2)
    | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3111]) ).

cnf(c_0_3111_5,axiom,
    ( ~ class_Ring__and__Field_Ozero__neq__one(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Power_Opower(X2)
    | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3111]) ).

cnf(c_0_3112_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3112]) ).

cnf(c_0_3112_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3112]) ).

cnf(c_0_3113_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3113]) ).

cnf(c_0_3113_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3113]) ).

cnf(c_0_3114_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3114]) ).

cnf(c_0_3114_1,axiom,
    ( ~ class_Orderings_Oorder(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3114]) ).

cnf(c_0_3115_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3115]) ).

cnf(c_0_3115_1,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3115]) ).

cnf(c_0_3116_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3116]) ).

cnf(c_0_3116_1,axiom,
    ( ~ class_Orderings_Opreorder(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3116]) ).

cnf(c_0_3117_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3117]) ).

cnf(c_0_3117_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3117]) ).

cnf(c_0_3118_0,axiom,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3118]) ).

cnf(c_0_3118_1,axiom,
    ( ~ c_fequal(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3118]) ).

cnf(c_0_3119_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3119]) ).

cnf(c_0_3119_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3119]) ).

cnf(c_0_3120_0,axiom,
    ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_Suc(X2),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Power_Opower(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3120]) ).

cnf(c_0_3120_1,axiom,
    ( ~ class_Power_Opower(X1)
    | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_Suc(X2),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3120]) ).

cnf(c_0_3120_2,axiom,
    ( ~ class_Ring__and__Field_Osemiring__0(X1)
    | ~ class_Power_Opower(X1)
    | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),c_Suc(X2),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3120]) ).

cnf(c_0_3121_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Ring__and__Field_Osemiring__0(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3121]) ).

cnf(c_0_3121_1,axiom,
    ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ class_Power_Opower(X2)
    | ~ class_Ring__and__Field_Osemiring__0(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3121]) ).

cnf(c_0_3121_2,axiom,
    ( ~ class_Power_Opower(X2)
    | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ class_Ring__and__Field_Osemiring__0(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3121]) ).

cnf(c_0_3121_3,axiom,
    ( ~ class_Ring__and__Field_Osemiring__0(X2)
    | ~ class_Power_Opower(X2)
    | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3121]) ).

cnf(c_0_3122_0,axiom,
    ( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3122]) ).

cnf(c_0_3122_1,axiom,
    ( ~ class_Complete__Lattice_Ocomplete__lattice(X1)
    | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1) = c_Orderings_Obot__class_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3122]) ).

cnf(c_0_3123_0,axiom,
    ( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ocard(X1,X2) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3123]) ).

cnf(c_0_3123_1,axiom,
    ( ~ c_Finite__Set_Ofinite(X1,X2)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
    | c_Finite__Set_Ocard(X1,X2) != c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3123]) ).

cnf(c_0_3123_2,axiom,
    ( c_Finite__Set_Ocard(X1,X2) != c_HOL_Ozero__class_Ozero(tc_nat)
    | ~ c_Finite__Set_Ofinite(X1,X2)
    | X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
    inference(literals_permutation,[status(thm)],[c_0_3123]) ).

cnf(c_0_3124_0,axiom,
    ( c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3124]) ).

cnf(c_0_3124_1,axiom,
    ( ~ class_Complete__Lattice_Ocomplete__lattice(X1)
    | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) = c_Orderings_Otop__class_Otop(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3124]) ).

cnf(c_0_3125_0,axiom,
    ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Orderings_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3125]) ).

cnf(c_0_3125_1,axiom,
    ( ~ class_Orderings_Obot(X1)
    | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X1)),v_x) = c_Orderings_Obot__class_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3125]) ).

cnf(c_0_3126_0,axiom,
    ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Orderings_Otop(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3126]) ).

cnf(c_0_3126_1,axiom,
    ( ~ class_Orderings_Otop(X1)
    | hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X1)),v_x) = c_Orderings_Otop__class_Otop(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3126]) ).

cnf(c_0_3127_0,axiom,
    ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1)
    | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3127]) ).

cnf(c_0_3127_1,axiom,
    ( ~ class_Finite__Set_Ofinite_Ofinite(X1)
    | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3127]) ).

cnf(c_0_3128_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3128]) ).

cnf(c_0_3128_1,axiom,
    ( ~ class_Int_Onumber__ring(X2)
    | c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3128]) ).

cnf(c_0_3128_2,axiom,
    ( ~ class_Ring__and__Field_Oidom(X2)
    | ~ class_Int_Onumber__ring(X2)
    | c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3128]) ).

cnf(c_0_3129_0,axiom,
    ( X1 = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3129]) ).

cnf(c_0_3129_1,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | X1 = X2
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3129]) ).

cnf(c_0_3129_2,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X3)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3129]) ).

cnf(c_0_3130_0,axiom,
    ( X1 = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3130]) ).

cnf(c_0_3130_1,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | X1 = X2
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3130]) ).

cnf(c_0_3130_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3130]) ).

cnf(c_0_3131_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(X2),X2) = c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3131]) ).

cnf(c_0_3131_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(X2),X2) = c_Orderings_Obot__class_Obot(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3131]) ).

cnf(c_0_3132_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3132]) ).

cnf(c_0_3132_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X1)
    | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1) = c_Orderings_Obot__class_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3132]) ).

cnf(c_0_3133_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3133]) ).

cnf(c_0_3133_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X1)
    | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1) = c_Orderings_Otop__class_Otop(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3133]) ).

cnf(c_0_3134_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(X2),X2) = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3134]) ).

cnf(c_0_3134_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(X2),X2) = c_Orderings_Otop__class_Otop(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3134]) ).

cnf(c_0_3135_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2) = X1
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3135]) ).

cnf(c_0_3135_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_3135]) ).

cnf(c_0_3136_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3136]) ).

cnf(c_0_3136_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X1)
    | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3136]) ).

cnf(c_0_3137_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3137]) ).

cnf(c_0_3137_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_3137]) ).

cnf(c_0_3138_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X1),X2,X1) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3138]) ).

cnf(c_0_3138_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X1)
    | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X1),X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3138]) ).

cnf(c_0_3139_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Otop__class_Otop(X2),X2) = X1
    | ~ class_Lattices_Obounded__lattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3139]) ).

cnf(c_0_3139_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Otop__class_Otop(X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_3139]) ).

cnf(c_0_3140_0,axiom,
    ( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
    | ~ class_Orderings_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3140]) ).

cnf(c_0_3140_1,axiom,
    ( ~ class_Orderings_Obot(X1)
    | c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3140]) ).

cnf(c_0_3141_0,axiom,
    ( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
    | ~ class_Orderings_Otop(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3141]) ).

cnf(c_0_3141_1,axiom,
    ( ~ class_Orderings_Otop(X2)
    | c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3141]) ).

cnf(c_0_3142_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3142]) ).

cnf(c_0_3142_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3142]) ).

cnf(c_0_3143_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3143]) ).

cnf(c_0_3143_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3143]) ).

cnf(c_0_3144_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3144]) ).

cnf(c_0_3144_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_3144]) ).

cnf(c_0_3145_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3145]) ).

cnf(c_0_3145_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_3145]) ).

cnf(c_0_3146_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3146]) ).

cnf(c_0_3146_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3146]) ).

cnf(c_0_3147_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3147]) ).

cnf(c_0_3147_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3147]) ).

cnf(c_0_3148_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3148]) ).

cnf(c_0_3148_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3148]) ).

cnf(c_0_3149_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3149]) ).

cnf(c_0_3149_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X2)
    | c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3149]) ).

cnf(c_0_3150_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3150]) ).

cnf(c_0_3150_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_3150]) ).

cnf(c_0_3151_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3151]) ).

cnf(c_0_3151_1,axiom,
    ( ~ class_Lattices_Olower__semilattice(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_3151]) ).

cnf(c_0_3152_0,axiom,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3152]) ).

cnf(c_0_3152_1,axiom,
    ( ~ class_Orderings_Oorder(X2)
    | c_lessequals(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3152]) ).

cnf(c_0_3153_0,axiom,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3153]) ).

cnf(c_0_3153_1,axiom,
    ( ~ class_Orderings_Opreorder(X2)
    | c_lessequals(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3153]) ).

cnf(c_0_3154_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3154]) ).

cnf(c_0_3154_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
    | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3154]) ).

cnf(c_0_3155_0,axiom,
    ( X1 = X2
    | c_SetInterval_Oord__class_OlessThan(X1,X3) != c_SetInterval_Oord__class_OlessThan(X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3155]) ).

cnf(c_0_3155_1,axiom,
    ( c_SetInterval_Oord__class_OlessThan(X1,X3) != c_SetInterval_Oord__class_OlessThan(X2,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3155]) ).

cnf(c_0_3155_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_SetInterval_Oord__class_OlessThan(X1,X3) != c_SetInterval_Oord__class_OlessThan(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3155]) ).

cnf(c_0_3156_0,axiom,
    ( X1 = X2
    | c_Nat_Osemiring__1__class_Oof__nat(X1,X3) != c_Nat_Osemiring__1__class_Oof__nat(X2,X3)
    | ~ class_Nat_Osemiring__char__0(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3156]) ).

cnf(c_0_3156_1,axiom,
    ( c_Nat_Osemiring__1__class_Oof__nat(X1,X3) != c_Nat_Osemiring__1__class_Oof__nat(X2,X3)
    | X1 = X2
    | ~ class_Nat_Osemiring__char__0(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3156]) ).

cnf(c_0_3156_2,axiom,
    ( ~ class_Nat_Osemiring__char__0(X3)
    | c_Nat_Osemiring__1__class_Oof__nat(X1,X3) != c_Nat_Osemiring__1__class_Oof__nat(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3156]) ).

cnf(c_0_3157_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3157]) ).

cnf(c_0_3157_1,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3157]) ).

cnf(c_0_3157_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3157]) ).

cnf(c_0_3158_0,axiom,
    ( c_HOL_Ozero__class_Ozero(X1) = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2) != c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3158]) ).

cnf(c_0_3158_1,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2) != c_HOL_Ozero__class_Ozero(X1)
    | c_HOL_Ozero__class_Ozero(X1) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3158]) ).

cnf(c_0_3158_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2) != c_HOL_Ozero__class_Ozero(X1)
    | c_HOL_Ozero__class_Ozero(X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3158]) ).

cnf(c_0_3159_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != X1
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3159]) ).

cnf(c_0_3159_1,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != X1
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3159]) ).

cnf(c_0_3159_2,axiom,
    ( ~ class_OrderedGroup_Oordered__ab__group__add(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != X1
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3159]) ).

cnf(c_0_3160_0,axiom,
    ( class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))
    | ~ class_Finite__Set_Ofinite_Ofinite(X1)
    | ~ class_Finite__Set_Ofinite_Ofinite(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3160]) ).

cnf(c_0_3160_1,axiom,
    ( ~ class_Finite__Set_Ofinite_Ofinite(X1)
    | class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2))
    | ~ class_Finite__Set_Ofinite_Ofinite(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3160]) ).

cnf(c_0_3160_2,axiom,
    ( ~ class_Finite__Set_Ofinite_Ofinite(X2)
    | ~ class_Finite__Set_Ofinite_Ofinite(X1)
    | class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_3160]) ).

cnf(c_0_3161_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Orderings_Otop__class_Otop(X1)) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3161]) ).

cnf(c_0_3161_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Orderings_Otop__class_Otop(X1)) = c_Orderings_Obot__class_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3161]) ).

cnf(c_0_3162_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Orderings_Obot__class_Obot(X1)) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3162]) ).

cnf(c_0_3162_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Orderings_Obot__class_Obot(X1)) = c_Orderings_Otop__class_Otop(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3162]) ).

cnf(c_0_3163_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3163]) ).

cnf(c_0_3163_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3163]) ).

cnf(c_0_3164_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3164]) ).

cnf(c_0_3164_1,axiom,
    ( ~ class_OrderedGroup_Oordered__ab__group__add(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3164]) ).

cnf(c_0_3165_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3165]) ).

cnf(c_0_3165_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3165]) ).

cnf(c_0_3166_0,axiom,
    ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X2,X1))
    | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3166]) ).

cnf(c_0_3166_1,axiom,
    ( ~ class_Complete__Lattice_Ocomplete__lattice(X1)
    | class_Complete__Lattice_Ocomplete__lattice(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_3166]) ).

cnf(c_0_3167_0,axiom,
    ( class_Lattices_Oupper__semilattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3167]) ).

cnf(c_0_3167_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | class_Lattices_Oupper__semilattice(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_3167]) ).

cnf(c_0_3168_0,axiom,
    ( class_Lattices_Olower__semilattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3168]) ).

cnf(c_0_3168_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | class_Lattices_Olower__semilattice(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_3168]) ).

cnf(c_0_3169_0,axiom,
    ( class_Lattices_Odistrib__lattice(tc_fun(X2,X1))
    | ~ class_Lattices_Odistrib__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3169]) ).

cnf(c_0_3169_1,axiom,
    ( ~ class_Lattices_Odistrib__lattice(X1)
    | class_Lattices_Odistrib__lattice(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_3169]) ).

cnf(c_0_3170_0,axiom,
    ( class_Lattices_Obounded__lattice(tc_fun(X2,X1))
    | ~ class_Lattices_Obounded__lattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3170]) ).

cnf(c_0_3170_1,axiom,
    ( ~ class_Lattices_Obounded__lattice(X1)
    | class_Lattices_Obounded__lattice(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_3170]) ).

cnf(c_0_3171_0,axiom,
    ( class_Lattices_Oboolean__algebra(tc_fun(X2,X1))
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3171]) ).

cnf(c_0_3171_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X1)
    | class_Lattices_Oboolean__algebra(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_3171]) ).

cnf(c_0_3172_0,axiom,
    ( class_Orderings_Opreorder(tc_fun(X2,X1))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3172]) ).

cnf(c_0_3172_1,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_3172]) ).

cnf(c_0_3173_0,axiom,
    ( class_Lattices_Olattice(tc_fun(X2,X1))
    | ~ class_Lattices_Olattice(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3173]) ).

cnf(c_0_3173_1,axiom,
    ( ~ class_Lattices_Olattice(X1)
    | class_Lattices_Olattice(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_3173]) ).

cnf(c_0_3174_0,axiom,
    ( class_Orderings_Oorder(tc_fun(X2,X1))
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3174]) ).

cnf(c_0_3174_1,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_3174]) ).

cnf(c_0_3175_0,axiom,
    ( class_Orderings_Otop(tc_fun(X2,X1))
    | ~ class_Orderings_Otop(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3175]) ).

cnf(c_0_3175_1,axiom,
    ( ~ class_Orderings_Otop(X1)
    | class_Orderings_Otop(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_3175]) ).

cnf(c_0_3176_0,axiom,
    ( class_Orderings_Obot(tc_fun(X2,X1))
    | ~ class_Orderings_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3176]) ).

cnf(c_0_3176_1,axiom,
    ( ~ class_Orderings_Obot(X1)
    | class_Orderings_Obot(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_3176]) ).

cnf(c_0_3177_0,axiom,
    ( class_HOL_Ouminus(tc_fun(X2,X1))
    | ~ class_HOL_Ouminus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3177]) ).

cnf(c_0_3177_1,axiom,
    ( ~ class_HOL_Ouminus(X1)
    | class_HOL_Ouminus(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_3177]) ).

cnf(c_0_3178_0,axiom,
    ( class_HOL_Ominus(tc_fun(X2,X1))
    | ~ class_HOL_Ominus(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3178]) ).

cnf(c_0_3178_1,axiom,
    ( ~ class_HOL_Ominus(X1)
    | class_HOL_Ominus(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_3178]) ).

cnf(c_0_3179_0,axiom,
    ( class_HOL_Oord(tc_fun(X2,X1))
    | ~ class_HOL_Oord(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3179]) ).

cnf(c_0_3179_1,axiom,
    ( ~ class_HOL_Oord(X1)
    | class_HOL_Oord(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_3179]) ).

cnf(c_0_3180_0,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | c_Finite__Set_Ocard(X1,X2) = c_HOL_Ozero__class_Ozero(tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_3180]) ).

cnf(c_0_3180_1,axiom,
    ( c_Finite__Set_Ocard(X1,X2) = c_HOL_Ozero__class_Ozero(tc_nat)
    | c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3180]) ).

cnf(c_0_3181_0,axiom,
    ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Osemiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3181]) ).

cnf(c_0_3181_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__1(X1)
    | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3181]) ).

cnf(c_0_3182_0,axiom,
    ( c_Finite__Set_Ofinite(X1,X2)
    | ~ class_Finite__Set_Ofinite_Ofinite(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3182]) ).

cnf(c_0_3182_1,axiom,
    ( ~ class_Finite__Set_Ofinite_Ofinite(X2)
    | c_Finite__Set_Ofinite(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3182]) ).

cnf(c_0_3183_0,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3183]) ).

cnf(c_0_3183_1,axiom,
    ( c_Suc(X1) != c_Suc(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3183]) ).

cnf(c_0_3184_0,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3184]) ).

cnf(c_0_3184_1,axiom,
    ( c_Suc(X1) != c_Suc(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3184]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_996,negated_conjecture,
    ~ v_thesis____,
    file('<stdin>',cls_conjecture_0) ).

fof(c_0_1_997,negated_conjecture,
    ~ v_thesis____,
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_2_998,negated_conjecture,
    ~ v_thesis____,
    c_0_1 ).

cnf(c_0_3_999,negated_conjecture,
    ~ v_thesis____,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_1000,negated_conjecture,
    ~ v_thesis____,
    c_0_3,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_1908,negated_conjecture,
    ~ v_thesis____,
    file('/export/starexec/sandbox/tmp/iprover_modulo_4d62d4.p',c_0_4) ).

cnf(c_2484,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_1908]) ).

cnf(c_2488,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_2484]) ).

cnf(c_2489,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_2488]) ).

cnf(c_2490,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_2489]) ).

cnf(c_8121,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_2490]) ).

cnf(c_344,plain,
    ( c_Set_Oimage(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) != c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)
    | ~ c_Fun_Oinj__on(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)
    | v_thesis____ ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_4d62d4.p',c_0_2672_0) ).

cnf(c_5088,plain,
    ( c_Set_Oimage(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) != c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat)
    | ~ c_Fun_Oinj__on(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)
    | v_thesis____ ),
    inference(copy,[status(esa)],[c_344]) ).

cnf(c_5089,plain,
    ( ~ c_Fun_Oinj__on(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)
    | v_thesis____
    | c_Set_Oimage(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) != c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat) ),
    inference(rewriting,[status(thm)],[c_5088]) ).

cnf(c_8125,plain,
    ( ~ c_Fun_Oinj__on(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)
    | c_Set_Oimage(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) != c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_8121,c_5089]) ).

cnf(c_8126,plain,
    ( ~ c_Fun_Oinj__on(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)
    | c_Set_Oimage(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) != c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat) ),
    inference(rewriting,[status(thm)],[c_8125]) ).

cnf(c_171,plain,
    ( ~ c_Fun_Obij__betw(X0,X1,X2,X3,X4)
    | c_Set_Oimage(X0,X1,X3,X4) = X2 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_4d62d4.p',c_0_2605_0) ).

cnf(c_4742,plain,
    ( ~ c_Fun_Obij__betw(X0,X1,X2,X3,X4)
    | c_Set_Oimage(X0,X1,X3,X4) = X2 ),
    inference(copy,[status(esa)],[c_171]) ).

cnf(c_8173,plain,
    ( ~ c_Fun_Oinj__on(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)
    | ~ c_Fun_Obij__betw(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) ),
    inference(resolution,[status(thm)],[c_8126,c_4742]) ).

cnf(c_8174,plain,
    ( ~ c_Fun_Oinj__on(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi,tc_nat)
    | ~ c_Fun_Obij__betw(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat),tc_Arrow__Order__Mirabelle_Oindi,tc_nat) ),
    inference(rewriting,[status(thm)],[c_8173]) ).

cnf(c_173,plain,
    ( ~ c_Fun_Obij__betw(X0,X1,X2,X3,X4)
    | c_Fun_Oinj__on(X0,X1,X3,X4) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_4d62d4.p',c_0_2606_0) ).

cnf(c_4746,plain,
    ( ~ c_Fun_Obij__betw(X0,X1,X2,X3,X4)
    | c_Fun_Oinj__on(X0,X1,X3,X4) ),
    inference(copy,[status(esa)],[c_173]) ).

cnf(c_4747,plain,
    ( c_Fun_Oinj__on(X0,X1,X2,X3)
    | ~ c_Fun_Obij__betw(X0,X1,X4,X2,X3) ),
    inference(rewriting,[status(thm)],[c_4746]) ).

cnf(c_8229,plain,
    ~ c_Fun_Obij__betw(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat),tc_Arrow__Order__Mirabelle_Oindi,tc_nat),
    inference(forward_subsumption_resolution,[status(thm)],[c_8174,c_4747]) ).

cnf(c_8230,plain,
    ~ c_Fun_Obij__betw(X0,c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),tc_nat),tc_Arrow__Order__Mirabelle_Oindi,tc_nat),
    inference(rewriting,[status(thm)],[c_8229]) ).

cnf(c_271,plain,
    ( ~ c_Finite__Set_Ofinite(X0,X1)
    | c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(X0,X1),X0,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X0,X1),tc_nat),X1,tc_nat) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_4d62d4.p',c_0_2642_0) ).

cnf(c_4942,plain,
    ( ~ c_Finite__Set_Ofinite(X0,X1)
    | c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(X0,X1),X0,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X0,X1),tc_nat),X1,tc_nat) ),
    inference(copy,[status(esa)],[c_271]) ).

cnf(c_4943,plain,
    ( c_Fun_Obij__betw(c_List_Osko__SetInterval__Xex__bij__betw__finite__nat__1__1(X0,X1),X0,c_SetInterval_Oord__class_OatLeastLessThan(c_HOL_Ozero__class_Ozero(tc_nat),c_Finite__Set_Ocard(X0,X1),tc_nat),X1,tc_nat)
    | ~ c_Finite__Set_Ofinite(X0,X1) ),
    inference(rewriting,[status(thm)],[c_4942]) ).

cnf(c_8242,plain,
    ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),
    inference(resolution,[status(thm)],[c_8230,c_4943]) ).

cnf(c_8243,plain,
    ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),
    inference(rewriting,[status(thm)],[c_8242]) ).

cnf(c_1715,plain,
    c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),
    file('/export/starexec/sandbox/tmp/iprover_modulo_4d62d4.p',c_0_988_0) ).

cnf(c_7827,plain,
    c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),tc_Arrow__Order__Mirabelle_Oindi),
    inference(copy,[status(esa)],[c_1715]) ).

cnf(c_8245,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_8243,c_7827]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SCT071-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Fri Jul  1 23:27:48 EDT 2022
% 0.20/0.34  % CPUTime  : 
% 0.20/0.35  % Running in mono-core mode
% 0.20/0.55  % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.55  % Orientation found
% 0.20/0.55  % 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_33725f.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_4d62d4.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_bc2955 | grep -v "SZS"
% 0.40/0.57  
% 0.40/0.57  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.40/0.57  
% 0.40/0.57  % 
% 0.40/0.57  % ------  iProver source info 
% 0.40/0.57  
% 0.40/0.57  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.40/0.57  % git: non_committed_changes: true
% 0.40/0.57  % git: last_make_outside_of_git: true
% 0.40/0.57  
% 0.40/0.57  % 
% 0.40/0.57  % ------ Input Options
% 0.40/0.57  
% 0.40/0.57  % --out_options                         all
% 0.40/0.57  % --tptp_safe_out                       true
% 0.40/0.57  % --problem_path                        ""
% 0.40/0.57  % --include_path                        ""
% 0.40/0.57  % --clausifier                          .//eprover
% 0.40/0.57  % --clausifier_options                  --tstp-format  
% 0.40/0.57  % --stdin                               false
% 0.40/0.57  % --dbg_backtrace                       false
% 0.40/0.57  % --dbg_dump_prop_clauses               false
% 0.40/0.57  % --dbg_dump_prop_clauses_file          -
% 0.40/0.57  % --dbg_out_stat                        false
% 0.40/0.57  
% 0.40/0.57  % ------ General Options
% 0.40/0.57  
% 0.40/0.57  % --fof                                 false
% 0.40/0.57  % --time_out_real                       150.
% 0.40/0.57  % --time_out_prep_mult                  0.2
% 0.40/0.57  % --time_out_virtual                    -1.
% 0.40/0.57  % --schedule                            none
% 0.40/0.57  % --ground_splitting                    input
% 0.40/0.57  % --splitting_nvd                       16
% 0.40/0.57  % --non_eq_to_eq                        false
% 0.40/0.57  % --prep_gs_sim                         true
% 0.40/0.57  % --prep_unflatten                      false
% 0.40/0.57  % --prep_res_sim                        true
% 0.40/0.57  % --prep_upred                          true
% 0.40/0.57  % --res_sim_input                       true
% 0.40/0.57  % --clause_weak_htbl                    true
% 0.40/0.57  % --gc_record_bc_elim                   false
% 0.40/0.57  % --symbol_type_check                   false
% 0.40/0.57  % --clausify_out                        false
% 0.40/0.57  % --large_theory_mode                   false
% 0.40/0.57  % --prep_sem_filter                     none
% 0.40/0.57  % --prep_sem_filter_out                 false
% 0.40/0.57  % --preprocessed_out                    false
% 0.40/0.57  % --sub_typing                          false
% 0.40/0.57  % --brand_transform                     false
% 0.40/0.57  % --pure_diseq_elim                     true
% 0.40/0.57  % --min_unsat_core                      false
% 0.40/0.57  % --pred_elim                           true
% 0.40/0.57  % --add_important_lit                   false
% 0.40/0.57  % --soft_assumptions                    false
% 0.40/0.57  % --reset_solvers                       false
% 0.40/0.57  % --bc_imp_inh                          []
% 0.40/0.57  % --conj_cone_tolerance                 1.5
% 0.40/0.57  % --prolific_symb_bound                 500
% 0.40/0.57  % --lt_threshold                        2000
% 0.40/0.57  
% 0.40/0.57  % ------ SAT Options
% 0.40/0.57  
% 0.40/0.57  % --sat_mode                            false
% 0.40/0.57  % --sat_fm_restart_options              ""
% 0.40/0.57  % --sat_gr_def                          false
% 0.40/0.57  % --sat_epr_types                       true
% 0.40/0.57  % --sat_non_cyclic_types                false
% 0.40/0.57  % --sat_finite_models                   false
% 0.40/0.57  % --sat_fm_lemmas                       false
% 0.40/0.57  % --sat_fm_prep                         false
% 0.40/0.57  % --sat_fm_uc_incr                      true
% 0.40/0.57  % --sat_out_model                       small
% 0.40/0.57  % --sat_out_clauses                     false
% 0.40/0.57  
% 0.40/0.57  % ------ QBF Options
% 0.40/0.57  
% 0.40/0.57  % --qbf_mode                            false
% 0.40/0.57  % --qbf_elim_univ                       true
% 0.40/0.57  % --qbf_sk_in                           true
% 0.40/0.57  % --qbf_pred_elim                       true
% 0.40/0.57  % --qbf_split                           32
% 0.40/0.57  
% 0.40/0.57  % ------ BMC1 Options
% 0.40/0.57  
% 0.40/0.57  % --bmc1_incremental                    false
% 0.40/0.57  % --bmc1_axioms                         reachable_all
% 0.40/0.57  % --bmc1_min_bound                      0
% 0.40/0.57  % --bmc1_max_bound                      -1
% 0.40/0.57  % --bmc1_max_bound_default              -1
% 0.40/0.57  % --bmc1_symbol_reachability            true
% 0.40/0.57  % --bmc1_property_lemmas                false
% 0.40/0.57  % --bmc1_k_induction                    false
% 0.40/0.57  % --bmc1_non_equiv_states               false
% 0.40/0.57  % --bmc1_deadlock                       false
% 0.40/0.57  % --bmc1_ucm                            false
% 0.40/0.57  % --bmc1_add_unsat_core                 none
% 0.40/0.57  % --bmc1_unsat_core_children            false
% 0.40/0.57  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.40/0.57  % --bmc1_out_stat                       full
% 0.40/0.57  % --bmc1_ground_init                    false
% 0.40/0.57  % --bmc1_pre_inst_next_state            false
% 0.40/0.57  % --bmc1_pre_inst_state                 false
% 0.40/0.57  % --bmc1_pre_inst_reach_state           false
% 0.40/0.57  % --bmc1_out_unsat_core                 false
% 0.40/0.57  % --bmc1_aig_witness_out                false
% 0.40/0.57  % --bmc1_verbose                        false
% 0.40/0.57  % --bmc1_dump_clauses_tptp              false
% 6.78/7.13  % --bmc1_dump_unsat_core_tptp           false
% 6.78/7.13  % --bmc1_dump_file                      -
% 6.78/7.13  % --bmc1_ucm_expand_uc_limit            128
% 6.78/7.13  % --bmc1_ucm_n_expand_iterations        6
% 6.78/7.13  % --bmc1_ucm_extend_mode                1
% 6.78/7.13  % --bmc1_ucm_init_mode                  2
% 6.78/7.13  % --bmc1_ucm_cone_mode                  none
% 6.78/7.13  % --bmc1_ucm_reduced_relation_type      0
% 6.78/7.13  % --bmc1_ucm_relax_model                4
% 6.78/7.13  % --bmc1_ucm_full_tr_after_sat          true
% 6.78/7.13  % --bmc1_ucm_expand_neg_assumptions     false
% 6.78/7.13  % --bmc1_ucm_layered_model              none
% 6.78/7.13  % --bmc1_ucm_max_lemma_size             10
% 6.78/7.13  
% 6.78/7.13  % ------ AIG Options
% 6.78/7.13  
% 6.78/7.13  % --aig_mode                            false
% 6.78/7.13  
% 6.78/7.13  % ------ Instantiation Options
% 6.78/7.13  
% 6.78/7.13  % --instantiation_flag                  true
% 6.78/7.13  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 6.78/7.13  % --inst_solver_per_active              750
% 6.78/7.13  % --inst_solver_calls_frac              0.5
% 6.78/7.13  % --inst_passive_queue_type             priority_queues
% 6.78/7.13  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 6.78/7.13  % --inst_passive_queues_freq            [25;2]
% 6.78/7.13  % --inst_dismatching                    true
% 6.78/7.13  % --inst_eager_unprocessed_to_passive   true
% 6.78/7.13  % --inst_prop_sim_given                 true
% 6.78/7.13  % --inst_prop_sim_new                   false
% 6.78/7.13  % --inst_orphan_elimination             true
% 6.78/7.13  % --inst_learning_loop_flag             true
% 6.78/7.13  % --inst_learning_start                 3000
% 6.78/7.13  % --inst_learning_factor                2
% 6.78/7.13  % --inst_start_prop_sim_after_learn     3
% 6.78/7.13  % --inst_sel_renew                      solver
% 6.78/7.13  % --inst_lit_activity_flag              true
% 6.78/7.13  % --inst_out_proof                      true
% 6.78/7.13  
% 6.78/7.13  % ------ Resolution Options
% 6.78/7.13  
% 6.78/7.13  % --resolution_flag                     true
% 6.78/7.13  % --res_lit_sel                         kbo_max
% 6.78/7.13  % --res_to_prop_solver                  none
% 6.78/7.13  % --res_prop_simpl_new                  false
% 6.78/7.13  % --res_prop_simpl_given                false
% 6.78/7.13  % --res_passive_queue_type              priority_queues
% 6.78/7.13  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 6.78/7.13  % --res_passive_queues_freq             [15;5]
% 6.78/7.13  % --res_forward_subs                    full
% 6.78/7.13  % --res_backward_subs                   full
% 6.78/7.13  % --res_forward_subs_resolution         true
% 6.78/7.13  % --res_backward_subs_resolution        true
% 6.78/7.13  % --res_orphan_elimination              false
% 6.78/7.13  % --res_time_limit                      1000.
% 6.78/7.13  % --res_out_proof                       true
% 6.78/7.13  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_33725f.s
% 6.78/7.13  % --modulo                              true
% 6.78/7.13  
% 6.78/7.13  % ------ Combination Options
% 6.78/7.13  
% 6.78/7.13  % --comb_res_mult                       1000
% 6.78/7.13  % --comb_inst_mult                      300
% 6.78/7.13  % ------ 
% 6.78/7.13  
% 6.78/7.13  % ------ Parsing...% successful
% 6.78/7.13  
% 6.78/7.13  % ------ 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 % 
% 6.78/7.13  
% 6.78/7.13  % ------ Proving...
% 6.78/7.13  % ------ Problem Properties 
% 6.78/7.13  
% 6.78/7.13  % 
% 6.78/7.13  % EPR                                   false
% 6.78/7.13  % Horn                                  false
% 6.78/7.13  % Has equality                          true
% 6.78/7.13  
% 6.78/7.13  % % ------ Input Options Time Limit: Unbounded
% 6.78/7.13  
% 6.78/7.13  
% 6.78/7.13  Compiling...
% 6.78/7.13  Loading plugin: done.
% 6.78/7.13  Compiling...
% 6.78/7.13  Loading plugin: done.
% 6.78/7.13  Compiling...
% 6.78/7.13  Loading plugin: done.
% 6.78/7.13  Compiling...
% 6.78/7.13  Loading plugin: done.
% 6.78/7.13  Compiling...
% 6.78/7.13  Loading plugin: done.
% 6.78/7.13  Compiling...
% 6.78/7.13  Loading plugin: done.
% 6.78/7.13  Compiling...
% 6.78/7.13  Loading plugin: done.
% 6.78/7.13  Compiling...
% 6.78/7.13  Loading plugin: done.
% 6.78/7.13  Compiling...
% 6.78/7.13  Loading plugin: done.
% 6.78/7.13  Compiling...
% 6.78/7.13  Loading plugin: done.
% 6.78/7.13  Compiling...
% 6.78/7.13  Loading plugin: done.
% 6.78/7.13  Compiling...
% 6.78/7.13  Loading plugin: done.
% 6.78/7.13  Compiling...
% 6.78/7.13  Loading plugin: done.
% 6.78/7.13  Compiling...
% 6.78/7.13  Loading plugin: done.
% 6.78/7.13  Compiling...
% 6.78/7.13  Loading plugin: done.
% 6.78/7.13  Compiling...
% 6.78/7.13  Loading plugin: done.
% 6.78/7.13  Compiling...
% 6.78/7.13  Loading plugin: done.
% 6.78/7.13  Compiling...
% 6.78/7.13  Loading plugin: done.
% 6.78/7.13  Compiling...
% 6.78/7.13  Loading plugin: done.
% 6.78/7.13  Compiling...
% 6.78/7.13  Loading plugin: done.
% 6.78/7.13  Compiling...
% 6.78/7.13  Loading plugin: done.
% 6.78/7.13  Compiling...
% 6.78/7.13  Loading plugin: done.
% 6.78/7.13  Compiling...
% 6.78/7.13  Loading plugin: done.
% 6.78/7.13  Compiling...
% 6.78/7.13  Loading plugin: done.
% 6.78/7.13  Compiling...
% 6.78/7.13  Loading plugin: done.
% 6.78/7.13  % % ------ Current options:
% 6.78/7.13  
% 6.78/7.13  % ------ Input Options
% 6.78/7.13  
% 6.78/7.13  % --out_options                         all
% 6.78/7.13  % --tptp_safe_out                       true
% 6.78/7.13  % --problem_path                        ""
% 6.78/7.13  % --include_path                        ""
% 6.78/7.13  % --clausifier                          .//eprover
% 6.78/7.13  % --clausifier_options                  --tstp-format  
% 6.78/7.13  % --stdin                               false
% 6.78/7.13  % --dbg_backtrace                       false
% 6.78/7.13  % --dbg_dump_prop_clauses               false
% 6.78/7.13  % --dbg_dump_prop_clauses_file          -
% 6.78/7.13  % --dbg_out_stat                        false
% 6.78/7.13  
% 6.78/7.13  % ------ General Options
% 6.78/7.13  
% 6.78/7.13  % --fof                                 false
% 6.78/7.13  % --time_out_real                       150.
% 6.78/7.13  % --time_out_prep_mult                  0.2
% 6.78/7.13  % --time_out_virtual                    -1.
% 6.78/7.13  % --schedule                            none
% 6.78/7.13  % --ground_splitting                    input
% 6.78/7.13  % --splitting_nvd                       16
% 6.78/7.13  % --non_eq_to_eq                        false
% 6.78/7.13  % --prep_gs_sim                         true
% 6.78/7.13  % --prep_unflatten                      false
% 6.78/7.13  % --prep_res_sim                        true
% 6.78/7.13  % --prep_upred                          true
% 6.78/7.13  % --res_sim_input                       true
% 6.78/7.13  % --clause_weak_htbl                    true
% 6.78/7.13  % --gc_record_bc_elim                   false
% 6.78/7.13  % --symbol_type_check                   false
% 6.78/7.13  % --clausify_out                        false
% 6.78/7.13  % --large_theory_mode                   false
% 6.78/7.13  % --prep_sem_filter                     none
% 6.78/7.13  % --prep_sem_filter_out                 false
% 6.78/7.13  % --preprocessed_out                    false
% 6.78/7.13  % --sub_typing                          false
% 6.78/7.13  % --brand_transform                     false
% 6.78/7.13  % --pure_diseq_elim                     true
% 6.78/7.13  % --min_unsat_core                      false
% 6.78/7.13  % --pred_elim                           true
% 6.78/7.13  % --add_important_lit                   false
% 6.78/7.13  % --soft_assumptions                    false
% 6.78/7.13  % --reset_solvers                       false
% 6.78/7.13  % --bc_imp_inh                          []
% 6.78/7.13  % --conj_cone_tolerance                 1.5
% 6.78/7.13  % --prolific_symb_bound                 500
% 6.78/7.13  % --lt_threshold                        2000
% 6.78/7.13  
% 6.78/7.13  % ------ SAT Options
% 6.78/7.13  
% 6.78/7.13  % --sat_mode                            false
% 6.78/7.13  % --sat_fm_restart_options              ""
% 6.78/7.13  % --sat_gr_def                          false
% 6.78/7.13  % --sat_epr_types                       true
% 6.78/7.13  % --sat_non_cyclic_types                false
% 6.78/7.13  % --sat_finite_models                   false
% 6.78/7.13  % --sat_fm_lemmas                       false
% 6.78/7.13  % --sat_fm_prep                         false
% 6.78/7.13  % --sat_fm_uc_incr                      true
% 6.78/7.13  % --sat_out_model                       small
% 6.78/7.13  % --sat_out_clauses                     false
% 6.78/7.13  
% 6.78/7.13  % ------ QBF Options
% 6.78/7.13  
% 6.78/7.13  % --qbf_mode                            false
% 6.78/7.13  % --qbf_elim_univ                       true
% 6.78/7.13  % --qbf_sk_in                           true
% 6.78/7.13  % --qbf_pred_elim                       true
% 6.78/7.13  % --qbf_split                           32
% 6.78/7.13  
% 6.78/7.13  % ------ BMC1 Options
% 6.78/7.13  
% 6.78/7.13  % --bmc1_incremental                    false
% 6.78/7.13  % --bmc1_axioms                         reachable_all
% 6.78/7.13  % --bmc1_min_bound                      0
% 6.78/7.13  % --bmc1_max_bound                      -1
% 6.78/7.13  % --bmc1_max_bound_default              -1
% 6.78/7.13  % --bmc1_symbol_reachability            true
% 6.78/7.13  % --bmc1_property_lemmas                false
% 6.78/7.13  % --bmc1_k_induction                    false
% 6.78/7.13  % --bmc1_non_equiv_states               false
% 6.78/7.13  % --bmc1_deadlock                       false
% 6.78/7.13  % --bmc1_ucm                            false
% 6.78/7.13  % --bmc1_add_unsat_core                 none
% 6.78/7.13  % --bmc1_unsat_core_children            false
% 6.78/7.13  % --bmc1_unsat_core_extrapolate_axioms  false
% 6.78/7.13  % --bmc1_out_stat                       full
% 6.78/7.13  % --bmc1_ground_init                    false
% 6.78/7.13  % --bmc1_pre_inst_next_state            false
% 6.78/7.13  % --bmc1_pre_inst_state                 false
% 6.78/7.13  % --bmc1_pre_inst_reach_state           false
% 6.78/7.13  % --bmc1_out_unsat_core                 false
% 6.78/7.13  % --bmc1_aig_witness_out                false
% 6.78/7.13  % --bmc1_verbose                        false
% 6.78/7.13  % --bmc1_dump_clauses_tptp              false
% 6.78/7.13  % --bmc1_dump_unsat_core_tptp           false
% 6.78/7.13  % --bmc1_dump_file                      -
% 6.78/7.13  % --bmc1_ucm_expand_uc_limit            128
% 6.78/7.13  % --bmc1_ucm_n_expand_iterations        6
% 6.78/7.13  % --bmc1_ucm_extend_mode                1
% 6.78/7.13  % --bmc1_ucm_init_mode                  2
% 6.78/7.13  % --bmc1_ucm_cone_mode                  none
% 6.78/7.13  % --bmc1_ucm_reduced_relation_type      0
% 6.78/7.14  % --bmc1_ucm_relax_model                4
% 6.78/7.14  % --bmc1_ucm_full_tr_after_sat          true
% 6.78/7.14  % --bmc1_ucm_expand_neg_assumptions     false
% 6.78/7.14  % --bmc1_ucm_layered_model              none
% 6.78/7.14  % --bmc1_ucm_max_lemma_size             10
% 6.78/7.14  
% 6.78/7.14  % ------ AIG Options
% 6.78/7.14  
% 6.78/7.14  % --aig_mode                            false
% 6.78/7.14  
% 6.78/7.14  % ------ Instantiation Options
% 6.78/7.14  
% 6.78/7.14  % --instantiation_flag                  true
% 6.78/7.14  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 6.78/7.14  % --inst_solver_per_active              750
% 6.78/7.14  % --inst_solver_calls_frac              0.5
% 6.78/7.14  % --inst_passive_queue_type             priority_queues
% 6.78/7.14  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 6.78/7.14  % --inst_passive_queues_freq            [25;2]
% 6.78/7.14  % --inst_dismatching                    true
% 6.78/7.14  % --inst_eager_unprocessed_to_passive   true
% 6.78/7.14  % --inst_prop_sim_given                 true
% 6.78/7.14  % --inst_prop_sim_new                   false
% 6.78/7.14  % --inst_orphan_elimination             true
% 6.78/7.14  % --inst_learning_loop_flag             true
% 6.78/7.14  % --inst_learning_start                 3000
% 6.78/7.14  % --inst_learning_factor                2
% 6.78/7.14  % --inst_start_prop_sim_after_learn     3
% 6.78/7.14  % --inst_sel_renew                      solver
% 6.78/7.14  % --inst_lit_activity_flag              true
% 6.78/7.14  % --inst_out_proof                      true
% 6.78/7.14  
% 6.78/7.14  % ------ Resolution Options
% 6.78/7.14  
% 6.78/7.14  % --resolution_flag                     true
% 6.78/7.14  % --res_lit_sel                         kbo_max
% 6.78/7.14  % --res_to_prop_solver                  none
% 6.78/7.14  % --res_prop_simpl_new                  false
% 6.78/7.14  % --res_prop_simpl_given                false
% 6.78/7.14  % --res_passive_queue_type              priority_queues
% 6.78/7.14  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 6.78/7.14  % --res_passive_queues_freq             [15;5]
% 6.78/7.14  % --res_forward_subs                    full
% 6.78/7.14  % --res_backward_subs                   full
% 6.78/7.14  % --res_forward_subs_resolution         true
% 6.78/7.14  % --res_backward_subs_resolution        true
% 6.78/7.14  % --res_orphan_elimination              false
% 6.78/7.14  % --res_time_limit                      1000.
% 6.78/7.14  % --res_out_proof                       true
% 6.78/7.14  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_33725f.s
% 6.78/7.14  % --modulo                              true
% 6.78/7.14  
% 6.78/7.14  % ------ Combination Options
% 6.78/7.14  
% 6.78/7.14  % --comb_res_mult                       1000
% 6.78/7.14  % --comb_inst_mult                      300
% 6.78/7.14  % ------ 
% 6.78/7.14  
% 6.78/7.14  
% 6.78/7.14  
% 6.78/7.14  % ------ Proving...
% 6.78/7.14  % 
% 6.78/7.14  
% 6.78/7.14  
% 6.78/7.14  %  Resolution empty clause
% 6.78/7.14  
% 6.78/7.14  % ------                             Statistics
% 6.78/7.14  
% 6.78/7.14  % ------ General
% 6.78/7.14  
% 6.78/7.14  % num_of_input_clauses:                 1909
% 6.78/7.14  % num_of_input_neg_conjectures:         1
% 6.78/7.14  % num_of_splits:                        0
% 6.78/7.14  % num_of_split_atoms:                   0
% 6.78/7.14  % num_of_sem_filtered_clauses:          0
% 6.78/7.14  % num_of_subtypes:                      0
% 6.78/7.14  % monotx_restored_types:                0
% 6.78/7.14  % sat_num_of_epr_types:                 0
% 6.78/7.14  % sat_num_of_non_cyclic_types:          0
% 6.78/7.14  % sat_guarded_non_collapsed_types:      0
% 6.78/7.14  % is_epr:                               0
% 6.78/7.14  % is_horn:                              0
% 6.78/7.14  % has_eq:                               1
% 6.78/7.14  % num_pure_diseq_elim:                  0
% 6.78/7.14  % simp_replaced_by:                     0
% 6.78/7.14  % res_preprocessed:                     2
% 6.78/7.14  % prep_upred:                           0
% 6.78/7.14  % prep_unflattend:                      0
% 6.78/7.14  % pred_elim_cands:                      0
% 6.78/7.14  % pred_elim:                            0
% 6.78/7.14  % pred_elim_cl:                         0
% 6.78/7.14  % pred_elim_cycles:                     0
% 6.78/7.14  % forced_gc_time:                       0
% 6.78/7.14  % gc_basic_clause_elim:                 0
% 6.78/7.14  % parsing_time:                         0.086
% 6.78/7.14  % sem_filter_time:                      0.
% 6.78/7.14  % pred_elim_time:                       0.
% 6.78/7.14  % out_proof_time:                       0.001
% 6.78/7.14  % monotx_time:                          0.
% 6.78/7.14  % subtype_inf_time:                     0.
% 6.78/7.14  % unif_index_cands_time:                0.
% 6.78/7.14  % unif_index_add_time:                  0.001
% 6.78/7.14  % total_time:                           6.581
% 6.78/7.14  % num_of_symbols:                       121
% 6.78/7.14  % num_of_terms:                         6064
% 6.78/7.14  
% 6.78/7.14  % ------ Propositional Solver
% 6.78/7.14  
% 6.78/7.14  % prop_solver_calls:                    1
% 6.78/7.14  % prop_fast_solver_calls:               3
% 6.78/7.14  % prop_num_of_clauses:                  1825
% 6.78/7.15  % prop_preprocess_simplified:           5735
% 6.78/7.15  % prop_fo_subsumed:                     0
% 6.78/7.15  % prop_solver_time:                     0.
% 6.78/7.15  % prop_fast_solver_time:                0.
% 6.78/7.15  % prop_unsat_core_time:                 0.
% 6.78/7.15  
% 6.78/7.15  % ------ QBF 
% 6.78/7.15  
% 6.78/7.15  % qbf_q_res:                            0
% 6.78/7.15  % qbf_num_tautologies:                  0
% 6.78/7.15  % qbf_prep_cycles:                      0
% 6.78/7.15  
% 6.78/7.15  % ------ BMC1
% 6.78/7.15  
% 6.78/7.15  % bmc1_current_bound:                   -1
% 6.78/7.15  % bmc1_last_solved_bound:               -1
% 6.78/7.15  % bmc1_unsat_core_size:                 -1
% 6.78/7.15  % bmc1_unsat_core_parents_size:         -1
% 6.78/7.15  % bmc1_merge_next_fun:                  0
% 6.78/7.15  % bmc1_unsat_core_clauses_time:         0.
% 6.78/7.15  
% 6.78/7.15  % ------ Instantiation
% 6.78/7.15  
% 6.78/7.15  % inst_num_of_clauses:                  1700
% 6.78/7.15  % inst_num_in_passive:                  0
% 6.78/7.15  % inst_num_in_active:                   0
% 6.78/7.15  % inst_num_in_unprocessed:              1909
% 6.78/7.15  % inst_num_of_loops:                    0
% 6.78/7.15  % inst_num_of_learning_restarts:        0
% 6.78/7.15  % inst_num_moves_active_passive:        0
% 6.78/7.15  % inst_lit_activity:                    0
% 6.78/7.15  % inst_lit_activity_moves:              0
% 6.78/7.15  % inst_num_tautologies:                 0
% 6.78/7.15  % inst_num_prop_implied:                0
% 6.78/7.15  % inst_num_existing_simplified:         0
% 6.78/7.15  % inst_num_eq_res_simplified:           0
% 6.78/7.15  % inst_num_child_elim:                  0
% 6.78/7.15  % inst_num_of_dismatching_blockings:    0
% 6.78/7.15  % inst_num_of_non_proper_insts:         0
% 6.78/7.15  % inst_num_of_duplicates:               0
% 6.78/7.15  % inst_inst_num_from_inst_to_res:       0
% 6.78/7.15  % inst_dismatching_checking_time:       0.
% 6.78/7.15  
% 6.78/7.15  % ------ Resolution
% 6.78/7.15  
% 6.78/7.15  % res_num_of_clauses:                   1966
% 6.78/7.15  % res_num_in_passive:                   49
% 6.78/7.15  % res_num_in_active:                    744
% 6.78/7.15  % res_num_of_loops:                     5
% 6.78/7.15  % res_forward_subset_subsumed:          1070
% 6.78/7.15  % res_backward_subset_subsumed:         2
% 6.78/7.15  % res_forward_subsumed:                 0
% 6.78/7.15  % res_backward_subsumed:                0
% 6.78/7.15  % res_forward_subsumption_resolution:   2
% 6.78/7.15  % res_backward_subsumption_resolution:  1
% 6.78/7.15  % res_clause_to_clause_subsumption:     3
% 6.78/7.15  % res_orphan_elimination:               0
% 6.78/7.15  % res_tautology_del:                    0
% 6.78/7.15  % res_num_eq_res_simplified:            0
% 6.78/7.15  % res_num_sel_changes:                  0
% 6.78/7.15  % res_moves_from_active_to_pass:        0
% 6.78/7.15  
% 6.78/7.15  % Status Unsatisfiable
% 6.78/7.15  % SZS status Unsatisfiable
% 6.78/7.15  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------