%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : ALG350-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n024.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 : Thu Jul 14 17:11:14 EDT 2022

% Result   : Unsatisfiable 0.72s 0.95s
% Output   : CNFRefutation 0.72s
% 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(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom,
    class_Int_Onumber__ring(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Int_Onumber__ring_0,plain,
    ( class_Int_Onumber__ring(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Int_Onumber__ring]) ).

cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Orderings_Oorder_0,plain,
    ( class_Orderings_Oorder(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Orderings_Oorder]) ).

cnf(clsarity_RealDef__Oreal__Lattices_Olattice,axiom,
    class_Lattices_Olattice(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Lattices_Olattice_0,plain,
    ( class_Lattices_Olattice(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Lattices_Olattice]) ).

cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Orderings_Olinorder_0,plain,
    ( class_Orderings_Olinorder(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Orderings_Olinorder]) ).

cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Orderings_Opreorder_0,plain,
    ( class_Orderings_Opreorder(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Orderings_Opreorder]) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom,
    class_Ring__and__Field_Oidom(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Oidom_0,plain,
    ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oidom]) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom,
    class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add_0,plain,
    ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add]) ).

cnf(clsarity_RealDef__Oreal__Lattices_Odistrib__lattice,axiom,
    class_Lattices_Odistrib__lattice(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Lattices_Odistrib__lattice_0,plain,
    ( class_Lattices_Odistrib__lattice(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Lattices_Odistrib__lattice]) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom,
    class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add_0,plain,
    ( class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add]) ).

cnf(clsarity_RealDef__Oreal__Lattices_Olower__semilattice,axiom,
    class_Lattices_Olower__semilattice(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Lattices_Olower__semilattice_0,plain,
    ( class_Lattices_Olower__semilattice(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Lattices_Olower__semilattice]) ).

cnf(clsarity_RealDef__Oreal__Lattices_Oupper__semilattice,axiom,
    class_Lattices_Oupper__semilattice(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Lattices_Oupper__semilattice_0,plain,
    ( class_Lattices_Oupper__semilattice(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Lattices_Oupper__semilattice]) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom,
    class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom_0,plain,
    ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom]) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add_0,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add]) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add_0,plain,
    ( class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add]) ).

cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
    class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector_0,plain,
    ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector]) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1_0,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1]) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add_0,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add]) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom,
    class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add_0,plain,
    ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add]) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom,
    class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add_0,plain,
    ( class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add]) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add_0,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add]) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs,axiom,
    class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs_0,plain,
    ( class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs]) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom,
    class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs_0,plain,
    ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs]) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add_0,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add]) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__join,axiom,
    class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__join_0,plain,
    ( class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__join]) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__meet,axiom,
    class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__meet_0,plain,
    ( class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__meet]) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le_0,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le]) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add_0,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add]) ).

cnf(cls_real__le__refl_0,axiom,
    c_lessequals(V_w,V_w,tc_RealDef_Oreal),
    input ).

fof(cls_real__le__refl_0_0,plain,
    ! [V_w] :
      ( c_lessequals(V_w,V_w,tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_real__le__refl_0]) ).

cnf(cls_COMBI__def__raw_0,axiom,
    c_COMBI(v_P,t_a) = v_P,
    input ).

fof(cls_COMBI__def__raw_0_0,plain,
    ( c_COMBI(v_P,t_a) = v_P
    | $false ),
    inference(orientation,[status(thm)],[cls_COMBI__def__raw_0]) ).

cnf(cls_x_0,axiom,
    hBOOL(hAPP(v_P,v_x____)),
    input ).

fof(cls_x_0_0,plain,
    ( hBOOL(hAPP(v_P,v_x____))
    | $false ),
    inference(orientation,[status(thm)],[cls_x_0]) ).

cnf(cls_xY_0,axiom,
    c_HOL_Oord__class_Oless(v_x____,v_Y____,tc_RealDef_Oreal),
    input ).

fof(cls_xY_0_0,plain,
    ( c_HOL_Oord__class_Oless(v_x____,v_Y____,tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[cls_xY_0]) ).

cnf(cls_real__less__def_1,axiom,
    ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal),
    input ).

fof(cls_real__less__def_1_0,plain,
    ! [V_x] :
      ( ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_real__less__def_1]) ).

cnf(cls_abs__exp__cancel_0,axiom,
    c_HOL_Oabs__class_Oabs(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),
    input ).

fof(cls_abs__exp__cancel_0_0,plain,
    ! [V_x] :
      ( c_HOL_Oabs__class_Oabs(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Oexp(V_x,tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_abs__exp__cancel_0]) ).

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

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

fof(def_lhs_atom1,axiom,
    ! [V_P,T_a] :
      ( lhs_atom1(V_P,T_a)
    <=> c_COMBI(V_P,T_a) = V_P ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ! [T_a,V_P] :
      ( lhs_atom1(V_P,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_COMBI__def_0_0,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [V_x] :
      ( lhs_atom2(V_x)
    <=> c_HOL_Oabs__class_Oabs(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Oexp(V_x,tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_1,plain,
    ! [V_x] :
      ( lhs_atom2(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_abs__exp__cancel_0_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ! [V_x] :
      ( lhs_atom3(V_x)
    <=> ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_2,plain,
    ! [V_x] :
      ( lhs_atom3(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_real__less__def_1_0,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ( lhs_atom4
  <=> c_HOL_Oord__class_Oless(v_x____,v_Y____,tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_3,plain,
    ( lhs_atom4
    | $false ),
    inference(fold_definition,[status(thm)],[cls_xY_0_0,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ( lhs_atom5
  <=> hBOOL(hAPP(v_P,v_x____)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_4,plain,
    ( lhs_atom5
    | $false ),
    inference(fold_definition,[status(thm)],[cls_x_0_0,def_lhs_atom5]) ).

fof(def_lhs_atom6,axiom,
    ( lhs_atom6
  <=> c_COMBI(v_P,t_a) = v_P ),
    inference(definition,[],]) ).

fof(to_be_clausified_5,plain,
    ( lhs_atom6
    | $false ),
    inference(fold_definition,[status(thm)],[cls_COMBI__def__raw_0_0,def_lhs_atom6]) ).

fof(def_lhs_atom7,axiom,
    ! [V_w] :
      ( lhs_atom7(V_w)
    <=> c_lessequals(V_w,V_w,tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_6,plain,
    ! [V_w] :
      ( lhs_atom7(V_w)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_real__le__refl_0_0,def_lhs_atom7]) ).

fof(def_lhs_atom8,axiom,
    ( lhs_atom8
  <=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_7,plain,
    ( lhs_atom8
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add_0,def_lhs_atom8]) ).

fof(def_lhs_atom9,axiom,
    ( lhs_atom9
  <=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_8,plain,
    ( lhs_atom9
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le_0,def_lhs_atom9]) ).

fof(def_lhs_atom10,axiom,
    ( lhs_atom10
  <=> class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_9,plain,
    ( lhs_atom10
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__meet_0,def_lhs_atom10]) ).

fof(def_lhs_atom11,axiom,
    ( lhs_atom11
  <=> class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_10,plain,
    ( lhs_atom11
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__join_0,def_lhs_atom11]) ).

fof(def_lhs_atom12,axiom,
    ( lhs_atom12
  <=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_11,plain,
    ( lhs_atom12
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add_0,def_lhs_atom12]) ).

fof(def_lhs_atom13,axiom,
    ( lhs_atom13
  <=> class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_12,plain,
    ( lhs_atom13
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs_0,def_lhs_atom13]) ).

fof(def_lhs_atom14,axiom,
    ( lhs_atom14
  <=> class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_13,plain,
    ( lhs_atom14
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs_0,def_lhs_atom14]) ).

fof(def_lhs_atom15,axiom,
    ( lhs_atom15
  <=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_14,plain,
    ( lhs_atom15
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add_0,def_lhs_atom15]) ).

fof(def_lhs_atom16,axiom,
    ( lhs_atom16
  <=> class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_15,plain,
    ( lhs_atom16
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add_0,def_lhs_atom16]) ).

fof(def_lhs_atom17,axiom,
    ( lhs_atom17
  <=> class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_16,plain,
    ( lhs_atom17
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add_0,def_lhs_atom17]) ).

fof(def_lhs_atom18,axiom,
    ( lhs_atom18
  <=> class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_17,plain,
    ( lhs_atom18
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add_0,def_lhs_atom18]) ).

fof(def_lhs_atom19,axiom,
    ( lhs_atom19
  <=> class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_18,plain,
    ( lhs_atom19
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1_0,def_lhs_atom19]) ).

fof(def_lhs_atom20,axiom,
    ( lhs_atom20
  <=> class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_19,plain,
    ( lhs_atom20
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector_0,def_lhs_atom20]) ).

fof(def_lhs_atom21,axiom,
    ( lhs_atom21
  <=> class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_20,plain,
    ( lhs_atom21
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add_0,def_lhs_atom21]) ).

fof(def_lhs_atom22,axiom,
    ( lhs_atom22
  <=> class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_21,plain,
    ( lhs_atom22
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add_0,def_lhs_atom22]) ).

fof(def_lhs_atom23,axiom,
    ( lhs_atom23
  <=> class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_22,plain,
    ( lhs_atom23
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom_0,def_lhs_atom23]) ).

fof(def_lhs_atom24,axiom,
    ( lhs_atom24
  <=> class_Lattices_Oupper__semilattice(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_23,plain,
    ( lhs_atom24
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Lattices_Oupper__semilattice_0,def_lhs_atom24]) ).

fof(def_lhs_atom25,axiom,
    ( lhs_atom25
  <=> class_Lattices_Olower__semilattice(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_24,plain,
    ( lhs_atom25
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Lattices_Olower__semilattice_0,def_lhs_atom25]) ).

fof(def_lhs_atom26,axiom,
    ( lhs_atom26
  <=> class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_25,plain,
    ( lhs_atom26
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add_0,def_lhs_atom26]) ).

fof(def_lhs_atom27,axiom,
    ( lhs_atom27
  <=> class_Lattices_Odistrib__lattice(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_26,plain,
    ( lhs_atom27
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Lattices_Odistrib__lattice_0,def_lhs_atom27]) ).

fof(def_lhs_atom28,axiom,
    ( lhs_atom28
  <=> class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_27,plain,
    ( lhs_atom28
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add_0,def_lhs_atom28]) ).

fof(def_lhs_atom29,axiom,
    ( lhs_atom29
  <=> class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_28,plain,
    ( lhs_atom29
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oidom_0,def_lhs_atom29]) ).

fof(def_lhs_atom30,axiom,
    ( lhs_atom30
  <=> class_Orderings_Opreorder(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_29,plain,
    ( lhs_atom30
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Orderings_Opreorder_0,def_lhs_atom30]) ).

fof(def_lhs_atom31,axiom,
    ( lhs_atom31
  <=> class_Orderings_Olinorder(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_30,plain,
    ( lhs_atom31
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Orderings_Olinorder_0,def_lhs_atom31]) ).

fof(def_lhs_atom32,axiom,
    ( lhs_atom32
  <=> class_Lattices_Olattice(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_31,plain,
    ( lhs_atom32
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Lattices_Olattice_0,def_lhs_atom32]) ).

fof(def_lhs_atom33,axiom,
    ( lhs_atom33
  <=> class_Orderings_Oorder(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_32,plain,
    ( lhs_atom33
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Orderings_Oorder_0,def_lhs_atom33]) ).

fof(def_lhs_atom34,axiom,
    ( lhs_atom34
  <=> class_Int_Onumber__ring(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_33,plain,
    ( lhs_atom34
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Int_Onumber__ring_0,def_lhs_atom34]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X1,X2] :
      ( lhs_atom1(X1,X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_1,axiom,
    ! [X4] :
      ( lhs_atom7(X4)
      | ~ $true ),
    file('<stdin>',to_be_clausified_6) ).

fof(c_0_2,axiom,
    ! [X3] :
      ( lhs_atom3(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_3,axiom,
    ! [X3] :
      ( lhs_atom2(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_4,axiom,
    ( lhs_atom34
    | ~ $true ),
    file('<stdin>',to_be_clausified_33) ).

fof(c_0_5,axiom,
    ( lhs_atom33
    | ~ $true ),
    file('<stdin>',to_be_clausified_32) ).

fof(c_0_6,axiom,
    ( lhs_atom32
    | ~ $true ),
    file('<stdin>',to_be_clausified_31) ).

fof(c_0_7,axiom,
    ( lhs_atom31
    | ~ $true ),
    file('<stdin>',to_be_clausified_30) ).

fof(c_0_8,axiom,
    ( lhs_atom30
    | ~ $true ),
    file('<stdin>',to_be_clausified_29) ).

fof(c_0_9,axiom,
    ( lhs_atom29
    | ~ $true ),
    file('<stdin>',to_be_clausified_28) ).

fof(c_0_10,axiom,
    ( lhs_atom28
    | ~ $true ),
    file('<stdin>',to_be_clausified_27) ).

fof(c_0_11,axiom,
    ( lhs_atom27
    | ~ $true ),
    file('<stdin>',to_be_clausified_26) ).

fof(c_0_12,axiom,
    ( lhs_atom26
    | ~ $true ),
    file('<stdin>',to_be_clausified_25) ).

fof(c_0_13,axiom,
    ( lhs_atom25
    | ~ $true ),
    file('<stdin>',to_be_clausified_24) ).

fof(c_0_14,axiom,
    ( lhs_atom24
    | ~ $true ),
    file('<stdin>',to_be_clausified_23) ).

fof(c_0_15,axiom,
    ( lhs_atom23
    | ~ $true ),
    file('<stdin>',to_be_clausified_22) ).

fof(c_0_16,axiom,
    ( lhs_atom22
    | ~ $true ),
    file('<stdin>',to_be_clausified_21) ).

fof(c_0_17,axiom,
    ( lhs_atom21
    | ~ $true ),
    file('<stdin>',to_be_clausified_20) ).

fof(c_0_18,axiom,
    ( lhs_atom20
    | ~ $true ),
    file('<stdin>',to_be_clausified_19) ).

fof(c_0_19,axiom,
    ( lhs_atom19
    | ~ $true ),
    file('<stdin>',to_be_clausified_18) ).

fof(c_0_20,axiom,
    ( lhs_atom18
    | ~ $true ),
    file('<stdin>',to_be_clausified_17) ).

fof(c_0_21,axiom,
    ( lhs_atom17
    | ~ $true ),
    file('<stdin>',to_be_clausified_16) ).

fof(c_0_22,axiom,
    ( lhs_atom16
    | ~ $true ),
    file('<stdin>',to_be_clausified_15) ).

fof(c_0_23,axiom,
    ( lhs_atom15
    | ~ $true ),
    file('<stdin>',to_be_clausified_14) ).

fof(c_0_24,axiom,
    ( lhs_atom14
    | ~ $true ),
    file('<stdin>',to_be_clausified_13) ).

fof(c_0_25,axiom,
    ( lhs_atom13
    | ~ $true ),
    file('<stdin>',to_be_clausified_12) ).

fof(c_0_26,axiom,
    ( lhs_atom12
    | ~ $true ),
    file('<stdin>',to_be_clausified_11) ).

fof(c_0_27,axiom,
    ( lhs_atom11
    | ~ $true ),
    file('<stdin>',to_be_clausified_10) ).

fof(c_0_28,axiom,
    ( lhs_atom10
    | ~ $true ),
    file('<stdin>',to_be_clausified_9) ).

fof(c_0_29,axiom,
    ( lhs_atom9
    | ~ $true ),
    file('<stdin>',to_be_clausified_8) ).

fof(c_0_30,axiom,
    ( lhs_atom8
    | ~ $true ),
    file('<stdin>',to_be_clausified_7) ).

fof(c_0_31,axiom,
    ( lhs_atom6
    | ~ $true ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_32,axiom,
    ( lhs_atom5
    | ~ $true ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_33,axiom,
    ( lhs_atom4
    | ~ $true ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_34,plain,
    ! [X1,X2] : lhs_atom1(X1,X2),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_35,plain,
    ! [X4] : lhs_atom7(X4),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_36,plain,
    ! [X3] : lhs_atom3(X3),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_37,plain,
    ! [X3] : lhs_atom2(X3),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_38,plain,
    lhs_atom34,
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_39,plain,
    lhs_atom33,
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_40,plain,
    lhs_atom32,
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_41,plain,
    lhs_atom31,
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_42,plain,
    lhs_atom30,
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_43,plain,
    lhs_atom29,
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_44,plain,
    lhs_atom28,
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_45,plain,
    lhs_atom27,
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_46,plain,
    lhs_atom26,
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_47,plain,
    lhs_atom25,
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_48,plain,
    lhs_atom24,
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_49,plain,
    lhs_atom23,
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_50,plain,
    lhs_atom22,
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_51,plain,
    lhs_atom21,
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_52,plain,
    lhs_atom20,
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_53,plain,
    lhs_atom19,
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_54,plain,
    lhs_atom18,
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_55,plain,
    lhs_atom17,
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_56,plain,
    lhs_atom16,
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_57,plain,
    lhs_atom15,
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_58,plain,
    lhs_atom14,
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_59,plain,
    lhs_atom13,
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_60,plain,
    lhs_atom12,
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_61,plain,
    lhs_atom11,
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_62,plain,
    lhs_atom10,
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_63,plain,
    lhs_atom9,
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_64,plain,
    lhs_atom8,
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_65,plain,
    lhs_atom6,
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_66,plain,
    lhs_atom5,
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_67,plain,
    lhs_atom4,
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_68,plain,
    ! [X3,X4] : lhs_atom1(X3,X4),
    inference(variable_rename,[status(thm)],[c_0_34]) ).

fof(c_0_69,plain,
    ! [X5] : lhs_atom7(X5),
    inference(variable_rename,[status(thm)],[c_0_35]) ).

fof(c_0_70,plain,
    ! [X4] : lhs_atom3(X4),
    inference(variable_rename,[status(thm)],[c_0_36]) ).

fof(c_0_71,plain,
    ! [X4] : lhs_atom2(X4),
    inference(variable_rename,[status(thm)],[c_0_37]) ).

fof(c_0_72,plain,
    lhs_atom34,
    c_0_38 ).

fof(c_0_73,plain,
    lhs_atom33,
    c_0_39 ).

fof(c_0_74,plain,
    lhs_atom32,
    c_0_40 ).

fof(c_0_75,plain,
    lhs_atom31,
    c_0_41 ).

fof(c_0_76,plain,
    lhs_atom30,
    c_0_42 ).

fof(c_0_77,plain,
    lhs_atom29,
    c_0_43 ).

fof(c_0_78,plain,
    lhs_atom28,
    c_0_44 ).

fof(c_0_79,plain,
    lhs_atom27,
    c_0_45 ).

fof(c_0_80,plain,
    lhs_atom26,
    c_0_46 ).

fof(c_0_81,plain,
    lhs_atom25,
    c_0_47 ).

fof(c_0_82,plain,
    lhs_atom24,
    c_0_48 ).

fof(c_0_83,plain,
    lhs_atom23,
    c_0_49 ).

fof(c_0_84,plain,
    lhs_atom22,
    c_0_50 ).

fof(c_0_85,plain,
    lhs_atom21,
    c_0_51 ).

fof(c_0_86,plain,
    lhs_atom20,
    c_0_52 ).

fof(c_0_87,plain,
    lhs_atom19,
    c_0_53 ).

fof(c_0_88,plain,
    lhs_atom18,
    c_0_54 ).

fof(c_0_89,plain,
    lhs_atom17,
    c_0_55 ).

fof(c_0_90,plain,
    lhs_atom16,
    c_0_56 ).

fof(c_0_91,plain,
    lhs_atom15,
    c_0_57 ).

fof(c_0_92,plain,
    lhs_atom14,
    c_0_58 ).

fof(c_0_93,plain,
    lhs_atom13,
    c_0_59 ).

fof(c_0_94,plain,
    lhs_atom12,
    c_0_60 ).

fof(c_0_95,plain,
    lhs_atom11,
    c_0_61 ).

fof(c_0_96,plain,
    lhs_atom10,
    c_0_62 ).

fof(c_0_97,plain,
    lhs_atom9,
    c_0_63 ).

fof(c_0_98,plain,
    lhs_atom8,
    c_0_64 ).

fof(c_0_99,plain,
    lhs_atom6,
    c_0_65 ).

fof(c_0_100,plain,
    lhs_atom5,
    c_0_66 ).

fof(c_0_101,plain,
    lhs_atom4,
    c_0_67 ).

cnf(c_0_102,plain,
    lhs_atom1(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_103,plain,
    lhs_atom7(X1),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_104,plain,
    lhs_atom3(X1),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_105,plain,
    lhs_atom2(X1),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_106,plain,
    lhs_atom34,
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_107,plain,
    lhs_atom33,
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_108,plain,
    lhs_atom32,
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_109,plain,
    lhs_atom31,
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_110,plain,
    lhs_atom30,
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_111,plain,
    lhs_atom29,
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_112,plain,
    lhs_atom28,
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_113,plain,
    lhs_atom27,
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_114,plain,
    lhs_atom26,
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_115,plain,
    lhs_atom25,
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_116,plain,
    lhs_atom24,
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_117,plain,
    lhs_atom23,
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_118,plain,
    lhs_atom22,
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_119,plain,
    lhs_atom21,
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_120,plain,
    lhs_atom20,
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_121,plain,
    lhs_atom19,
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_122,plain,
    lhs_atom18,
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_123,plain,
    lhs_atom17,
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_124,plain,
    lhs_atom16,
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_125,plain,
    lhs_atom15,
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_126,plain,
    lhs_atom14,
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_127,plain,
    lhs_atom13,
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_128,plain,
    lhs_atom12,
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_129,plain,
    lhs_atom11,
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_130,plain,
    lhs_atom10,
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_131,plain,
    lhs_atom9,
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_132,plain,
    lhs_atom8,
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_133,plain,
    lhs_atom6,
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_134,plain,
    lhs_atom5,
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_135,plain,
    lhs_atom4,
    inference(split_conjunct,[status(thm)],[c_0_101]) ).

cnf(c_0_136,plain,
    lhs_atom1(X1,X2),
    c_0_102,
    [final] ).

cnf(c_0_137,plain,
    lhs_atom7(X1),
    c_0_103,
    [final] ).

cnf(c_0_138,plain,
    lhs_atom3(X1),
    c_0_104,
    [final] ).

cnf(c_0_139,plain,
    lhs_atom2(X1),
    c_0_105,
    [final] ).

cnf(c_0_140,plain,
    lhs_atom34,
    c_0_106,
    [final] ).

cnf(c_0_141,plain,
    lhs_atom33,
    c_0_107,
    [final] ).

cnf(c_0_142,plain,
    lhs_atom32,
    c_0_108,
    [final] ).

cnf(c_0_143,plain,
    lhs_atom31,
    c_0_109,
    [final] ).

cnf(c_0_144,plain,
    lhs_atom30,
    c_0_110,
    [final] ).

cnf(c_0_145,plain,
    lhs_atom29,
    c_0_111,
    [final] ).

cnf(c_0_146,plain,
    lhs_atom28,
    c_0_112,
    [final] ).

cnf(c_0_147,plain,
    lhs_atom27,
    c_0_113,
    [final] ).

cnf(c_0_148,plain,
    lhs_atom26,
    c_0_114,
    [final] ).

cnf(c_0_149,plain,
    lhs_atom25,
    c_0_115,
    [final] ).

cnf(c_0_150,plain,
    lhs_atom24,
    c_0_116,
    [final] ).

cnf(c_0_151,plain,
    lhs_atom23,
    c_0_117,
    [final] ).

cnf(c_0_152,plain,
    lhs_atom22,
    c_0_118,
    [final] ).

cnf(c_0_153,plain,
    lhs_atom21,
    c_0_119,
    [final] ).

cnf(c_0_154,plain,
    lhs_atom20,
    c_0_120,
    [final] ).

cnf(c_0_155,plain,
    lhs_atom19,
    c_0_121,
    [final] ).

cnf(c_0_156,plain,
    lhs_atom18,
    c_0_122,
    [final] ).

cnf(c_0_157,plain,
    lhs_atom17,
    c_0_123,
    [final] ).

cnf(c_0_158,plain,
    lhs_atom16,
    c_0_124,
    [final] ).

cnf(c_0_159,plain,
    lhs_atom15,
    c_0_125,
    [final] ).

cnf(c_0_160,plain,
    lhs_atom14,
    c_0_126,
    [final] ).

cnf(c_0_161,plain,
    lhs_atom13,
    c_0_127,
    [final] ).

cnf(c_0_162,plain,
    lhs_atom12,
    c_0_128,
    [final] ).

cnf(c_0_163,plain,
    lhs_atom11,
    c_0_129,
    [final] ).

cnf(c_0_164,plain,
    lhs_atom10,
    c_0_130,
    [final] ).

cnf(c_0_165,plain,
    lhs_atom9,
    c_0_131,
    [final] ).

cnf(c_0_166,plain,
    lhs_atom8,
    c_0_132,
    [final] ).

cnf(c_0_167,plain,
    lhs_atom6,
    c_0_133,
    [final] ).

cnf(c_0_168,plain,
    lhs_atom5,
    c_0_134,
    [final] ).

cnf(c_0_169,plain,
    lhs_atom4,
    c_0_135,
    [final] ).

% End CNF derivation
cnf(c_0_136_0,axiom,
    c_COMBI(X1,X2) = X1,
    inference(unfold_definition,[status(thm)],[c_0_136,def_lhs_atom1]) ).

cnf(c_0_137_0,axiom,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_137,def_lhs_atom7]) ).

cnf(c_0_138_0,axiom,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_138,def_lhs_atom3]) ).

cnf(c_0_139_0,axiom,
    c_HOL_Oabs__class_Oabs(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Oexp(X1,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_139,def_lhs_atom2]) ).

cnf(c_0_140_0,axiom,
    class_Int_Onumber__ring(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_140,def_lhs_atom34]) ).

cnf(c_0_141_0,axiom,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_141,def_lhs_atom33]) ).

cnf(c_0_142_0,axiom,
    class_Lattices_Olattice(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_142,def_lhs_atom32]) ).

cnf(c_0_143_0,axiom,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_143,def_lhs_atom31]) ).

cnf(c_0_144_0,axiom,
    class_Orderings_Opreorder(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_144,def_lhs_atom30]) ).

cnf(c_0_145_0,axiom,
    class_Ring__and__Field_Oidom(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_145,def_lhs_atom29]) ).

cnf(c_0_146_0,axiom,
    class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_146,def_lhs_atom28]) ).

cnf(c_0_147_0,axiom,
    class_Lattices_Odistrib__lattice(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_147,def_lhs_atom27]) ).

cnf(c_0_148_0,axiom,
    class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_148,def_lhs_atom26]) ).

cnf(c_0_149_0,axiom,
    class_Lattices_Olower__semilattice(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_149,def_lhs_atom25]) ).

cnf(c_0_150_0,axiom,
    class_Lattices_Oupper__semilattice(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_150,def_lhs_atom24]) ).

cnf(c_0_151_0,axiom,
    class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_151,def_lhs_atom23]) ).

cnf(c_0_152_0,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_152,def_lhs_atom22]) ).

cnf(c_0_153_0,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_153,def_lhs_atom21]) ).

cnf(c_0_154_0,axiom,
    class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_154,def_lhs_atom20]) ).

cnf(c_0_155_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_155,def_lhs_atom19]) ).

cnf(c_0_156_0,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_156,def_lhs_atom18]) ).

cnf(c_0_157_0,axiom,
    class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_157,def_lhs_atom17]) ).

cnf(c_0_158_0,axiom,
    class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_158,def_lhs_atom16]) ).

cnf(c_0_159_0,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_159,def_lhs_atom15]) ).

cnf(c_0_160_0,axiom,
    class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_160,def_lhs_atom14]) ).

cnf(c_0_161_0,axiom,
    class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_161,def_lhs_atom13]) ).

cnf(c_0_162_0,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_162,def_lhs_atom12]) ).

cnf(c_0_163_0,axiom,
    class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_163,def_lhs_atom11]) ).

cnf(c_0_164_0,axiom,
    class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_164,def_lhs_atom10]) ).

cnf(c_0_165_0,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_165,def_lhs_atom9]) ).

cnf(c_0_166_0,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_166,def_lhs_atom8]) ).

cnf(c_0_167_0,axiom,
    c_COMBI(v_P,t_a) = v_P,
    inference(unfold_definition,[status(thm)],[c_0_167,def_lhs_atom6]) ).

cnf(c_0_168_0,axiom,
    hBOOL(hAPP(v_P,v_x____)),
    inference(unfold_definition,[status(thm)],[c_0_168,def_lhs_atom5]) ).

cnf(c_0_169_0,axiom,
    c_HOL_Oord__class_Oless(v_x____,v_Y____,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_169,def_lhs_atom4]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X15,X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X11,X10,X5),c_HOL_Oplus__class_Oplus(X12,X15,X5),X5),X5),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X11,X12,X5),X5),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X10,X15,X5),X5),X5),X5) ),
    file('<stdin>',cls_abs__diff__triangle__ineq_0) ).

fof(c_0_1_002,axiom,
    ! [X15,X12,X10,X11,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X11,X10,X5),c_HOL_Oplus__class_Oplus(X12,X15,X5),X5),X5),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X11,X12,X5),X5),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X10,X15,X5),X5),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__diff__triangle__ineq_0) ).

fof(c_0_2_003,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X5),X5),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X5),X5),X5) ),
    file('<stdin>',cls_distrib__sup__le_0) ).

fof(c_0_3_004,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X4,X5),c_Orderings_Oord__class_Omin(X1,X2,X5),X5),c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X4,X2,X5),X5),X5) ),
    file('<stdin>',cls_min__max_Odistrib__inf__le_0) ).

fof(c_0_4_005,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X5),X5),c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X5),X5),X5) ),
    file('<stdin>',cls_distrib__inf__le_0) ).

fof(c_0_5_006,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X4,X2,X5),X5),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X4,X5),c_Orderings_Oord__class_Omax(X1,X2,X5),X5),X5) ),
    file('<stdin>',cls_min__max_Odistrib__sup__le_0) ).

fof(c_0_6_007,axiom,
    ! [X1,X9,X11,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X11,X5),X5),X9,X5)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X11,X9,X5),X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X11,X9,X5),X1,X5) ),
    file('<stdin>',cls_abs__diff__less__iff_2) ).

fof(c_0_7_008,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X11,X5),c_HOL_Oabs__class_Oabs(X10,X5),X5),X5),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X11,X10,X5),X5),X5) ),
    file('<stdin>',cls_abs__triangle__ineq3_0) ).

fof(c_0_8_009,axiom,
    ! [X4,X1,X20,X9,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X5),X5),c_HOL_Oplus__class_Oplus(X9,X20,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X5),X20,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X5),X9,tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__add__less_0) ).

fof(c_0_9_010,axiom,
    ! [X1,X9,X11,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X11,X9,X5),X1,X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X11,X5),X5),X9,X5) ),
    file('<stdin>',cls_abs__diff__less__iff_0) ).

fof(c_0_10_011,axiom,
    ! [X1,X9,X11,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X11,X9,X5),X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X11,X5),X5),X9,X5) ),
    file('<stdin>',cls_abs__diff__less__iff_1) ).

fof(c_0_11_012,axiom,
    ! [X15,X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X15,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X11,X10,X5),c_HOL_Ominus__class_Ominus(X12,X15,X5),X5) ),
    file('<stdin>',cls_Deriv_Oadd__diff__add_0) ).

fof(c_0_12_013,axiom,
    ! [X15,X12,X10,X11,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X11,X10,X5),c_HOL_Oplus__class_Oplus(X12,X15,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X15,X5),X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I20_J_0) ).

fof(c_0_13_014,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X11,X10,X5),X5),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X11,X5),c_HOL_Oabs__class_Oabs(X10,X5),X5),X5) ),
    file('<stdin>',cls_abs__triangle__ineq_0) ).

fof(c_0_14_015,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X11,X5),c_HOL_Oabs__class_Oabs(X10,X5),X5),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X11,X10,X5),X5),X5) ),
    file('<stdin>',cls_abs__triangle__ineq2_0) ).

fof(c_0_15_016,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X11,X10,X5),X5),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X11,X5),c_HOL_Oabs__class_Oabs(X10,X5),X5),X5) ),
    file('<stdin>',cls_abs__triangle__ineq4_0) ).

fof(c_0_16_017,axiom,
    ! [X15,X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_lessequals(X11,c_HOL_Oplus__class_Oplus(X10,X15,X5),X5)
      | ~ c_lessequals(X12,X15,X5)
      | ~ c_lessequals(X11,c_HOL_Oplus__class_Oplus(X10,X12,X5),X5) ),
    file('<stdin>',cls_le__add__right__mono_0) ).

fof(c_0_17_018,axiom,
    ! [X4,X1,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X5),X5),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X5),c_RealVector_Onorm__class_Onorm(X4,X5),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__triangle__ineq_0) ).

fof(c_0_18_019,axiom,
    ! [X10,X11,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X11,X10,X5),X5),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X11,X5),c_RealVector_Onorm__class_Onorm(X10,X5),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__triangle__ineq4_0) ).

fof(c_0_19_020,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
      | c_HOL_Oord__class_Oless(X11,X10,X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X12,X11,X5),c_HOL_Oplus__class_Oplus(X12,X10,X5),X5) ),
    file('<stdin>',cls_add__less__cancel__left_0) ).

fof(c_0_20_021,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
      | c_HOL_Oord__class_Oless(X11,X10,X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X12,X5),X5) ),
    file('<stdin>',cls_add__less__cancel__right_0) ).

fof(c_0_21_022,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
      | c_lessequals(X11,X10,X5)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X12,X5),X5) ),
    file('<stdin>',cls_add__le__cancel__right_0) ).

fof(c_0_22_023,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
      | c_lessequals(X11,X10,X5)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X12,X11,X5),c_HOL_Oplus__class_Oplus(X12,X10,X5),X5) ),
    file('<stdin>',cls_add__le__cancel__left_0) ).

fof(c_0_23_024,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X5)
      | c_lessequals(X11,c_HOL_Oplus__class_Oplus(X12,c_HOL_Oabs__class_Oabs(X10,X5),X5),X5)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X11,X10,X5),X12,X5) ),
    file('<stdin>',cls_estimate__by__abs_0) ).

fof(c_0_24_025,axiom,
    ! [X15,X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X15,X5),X5)
      | ~ c_lessequals(X12,X15,X5)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X5) ),
    file('<stdin>',cls_add__less__le__mono_0) ).

fof(c_0_25_026,axiom,
    ! [X15,X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X15,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X12,X15,X5)
      | ~ c_lessequals(X11,X10,X5) ),
    file('<stdin>',cls_add__le__less__mono_0) ).

fof(c_0_26_027,axiom,
    ! [X15,X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X5)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X15,X5),X5)
      | ~ c_lessequals(X12,X15,X5)
      | ~ c_lessequals(X11,X10,X5) ),
    file('<stdin>',cls_add__mono_0) ).

fof(c_0_27_028,axiom,
    ! [X15,X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X15,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X12,X15,X5)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X5) ),
    file('<stdin>',cls_add__strict__mono_0) ).

fof(c_0_28_029,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X5),X12,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X12,X5),X5) ),
    file('<stdin>',cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I3_J_0) ).

fof(c_0_29_030,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(X11,c_Lattices_Oupper__semilattice__class_Osup(X10,X12,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X11,X10,X5),c_HOL_Oplus__class_Oplus(X11,X12,X5),X5) ),
    file('<stdin>',cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I4_J_0) ).

fof(c_0_30_031,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__join(X5)
      | c_HOL_Oplus__class_Oplus(X11,c_Lattices_Oupper__semilattice__class_Osup(X10,X12,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X11,X10,X5),c_HOL_Oplus__class_Oplus(X11,X12,X5),X5) ),
    file('<stdin>',cls_add__sup__distrib__left_0) ).

fof(c_0_31_032,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__join(X5)
      | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X5),X12,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X12,X5),X5) ),
    file('<stdin>',cls_add__sup__distrib__right_0) ).

fof(c_0_32_033,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Odistrib__lattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X5),X5) ),
    file('<stdin>',cls_inf__sup__distrib1_0) ).

fof(c_0_33_034,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Odistrib__lattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X5),X1,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X5),c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X5),X5) ),
    file('<stdin>',cls_inf__sup__distrib2_0) ).

fof(c_0_34_035,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X4,X2,X5),X5) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X4,X5),c_Orderings_Oord__class_Omin(X1,X2,X5),X5) ),
    file('<stdin>',cls_min__max_Oinf__sup__distrib1_0) ).

fof(c_0_35_036,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X4,X2,X5),X1,X5) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X4,X1,X5),c_Orderings_Oord__class_Omin(X2,X1,X5),X5) ),
    file('<stdin>',cls_min__max_Oinf__sup__distrib2_0) ).

fof(c_0_36_037,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Odistrib__lattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X5),X5) ),
    file('<stdin>',cls_sup__inf__distrib1_0) ).

fof(c_0_37_038,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Odistrib__lattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X5),X1,X5) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,X5),c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X5),X5) ),
    file('<stdin>',cls_sup__inf__distrib2_0) ).

fof(c_0_38_039,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X4,X2,X5),X5) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X4,X5),c_Orderings_Oord__class_Omax(X1,X2,X5),X5) ),
    file('<stdin>',cls_min__max_Osup__inf__distrib1_0) ).

fof(c_0_39_040,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X4,X2,X5),X1,X5) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X4,X1,X5),c_Orderings_Oord__class_Omax(X2,X1,X5),X5) ),
    file('<stdin>',cls_min__max_Osup__inf__distrib2_0) ).

fof(c_0_40_041,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
      | c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(X1,X4,X5),X2,X5) = c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(X1,X2,X5),c_HOL_Oplus__class_Oplus(X4,X2,X5),X5) ),
    file('<stdin>',cls_max__add__distrib__left_0) ).

fof(c_0_41_042,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
      | c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(X1,X4,X5),X2,X5) = c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(X1,X2,X5),c_HOL_Oplus__class_Oplus(X4,X2,X5),X5) ),
    file('<stdin>',cls_min__add__distrib__left_0) ).

fof(c_0_42_043,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X5),X12,X5) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X12,X5),X5) ),
    file('<stdin>',cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I1_J_0) ).

fof(c_0_43_044,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(X11,c_Lattices_Olower__semilattice__class_Oinf(X10,X12,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X11,X10,X5),c_HOL_Oplus__class_Oplus(X11,X12,X5),X5) ),
    file('<stdin>',cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I2_J_0) ).

fof(c_0_44_045,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X5)
      | c_HOL_Oplus__class_Oplus(X11,c_Lattices_Olower__semilattice__class_Oinf(X10,X12,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X11,X10,X5),c_HOL_Oplus__class_Oplus(X11,X12,X5),X5) ),
    file('<stdin>',cls_add__inf__distrib__left_0) ).

fof(c_0_45_046,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X5)
      | c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X5),X12,X5) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X12,X5),X5) ),
    file('<stdin>',cls_add__inf__distrib__right_0) ).

fof(c_0_46_047,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X1,X4,X5),X2,X5) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X1,X2,X5),c_HOL_Ominus__class_Ominus(X4,X2,X5),X5) ),
    file('<stdin>',cls_max__diff__distrib__left_0) ).

fof(c_0_47_048,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X1,X4,X5),X2,X5) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X1,X2,X5),c_HOL_Ominus__class_Ominus(X4,X2,X5),X5) ),
    file('<stdin>',cls_min__diff__distrib__left_0) ).

fof(c_0_48_049,axiom,
    ! [X2,X4,X1,X18,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X5),X5) != c_HOL_Oplus__class_Oplus(X4,X18,X5)
      | c_HOL_Oplus__class_Oplus(X1,X2,X5) = X18 ),
    file('<stdin>',cls_add__cancel__21_0) ).

fof(c_0_49_050,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X4,X2,X5)
      | c_lessequals(X1,X2,X5)
      | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X5),X2,X5) ),
    file('<stdin>',cls_min__le__iff__disj_0) ).

fof(c_0_50_051,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X2,X4,X5)
      | c_lessequals(X2,X1,X5)
      | ~ c_lessequals(X2,c_Orderings_Oord__class_Omax(X1,X4,X5),X5) ),
    file('<stdin>',cls_le__max__iff__disj_0) ).

fof(c_0_51_052,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X2,X4,X5)
      | c_HOL_Oord__class_Oless(X2,X1,X5)
      | ~ c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X1,X4,X5),X5) ),
    file('<stdin>',cls_less__max__iff__disj_0) ).

fof(c_0_52_053,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X4,X2,X5)
      | c_HOL_Oord__class_Oless(X1,X2,X5)
      | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X4,X5),X2,X5) ),
    file('<stdin>',cls_min__less__iff__disj_0) ).

fof(c_0_53_054,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X12,X11,X5),c_HOL_Oplus__class_Oplus(X12,X10,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X5) ),
    file('<stdin>',cls_add__less__cancel__left_1) ).

fof(c_0_54_055,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X12,X11,X5),c_HOL_Oplus__class_Oplus(X12,X10,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X5) ),
    file('<stdin>',cls_add__strict__left__mono_0) ).

fof(c_0_55_056,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X12,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X5) ),
    file('<stdin>',cls_add__less__cancel__right_1) ).

fof(c_0_56_057,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X12,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X5) ),
    file('<stdin>',cls_add__strict__right__mono_0) ).

fof(c_0_57_058,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X12,X5),X5)
      | ~ c_lessequals(X11,X10,X5) ),
    file('<stdin>',cls_add__le__cancel__right_1) ).

fof(c_0_58_059,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X12,X11,X5),c_HOL_Oplus__class_Oplus(X12,X10,X5),X5)
      | ~ c_lessequals(X11,X10,X5) ),
    file('<stdin>',cls_add__le__cancel__left_1) ).

fof(c_0_59_060,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X5)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X12,X5),X5)
      | ~ c_lessequals(X11,X10,X5) ),
    file('<stdin>',cls_add__right__mono_0) ).

fof(c_0_60_061,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X5)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X12,X11,X5),c_HOL_Oplus__class_Oplus(X12,X10,X5),X5)
      | ~ c_lessequals(X11,X10,X5) ),
    file('<stdin>',cls_add__left__mono_0) ).

fof(c_0_61_062,axiom,
    ! [X2,X4,X1] :
      ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X1,X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__add__left__mono_0) ).

fof(c_0_62_063,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omin(X1,X4,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X2,X4,X5)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X5) ),
    file('<stdin>',cls_min__less__iff__conj_2) ).

fof(c_0_63_064,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X4,X5),X2,X5)
      | ~ c_HOL_Oord__class_Oless(X4,X2,X5)
      | ~ c_HOL_Oord__class_Oless(X1,X2,X5) ),
    file('<stdin>',cls_max__less__iff__conj_2) ).

fof(c_0_64_065,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),X2,X5)
      | ~ c_lessequals(X4,X2,X5)
      | ~ c_lessequals(X1,X2,X5) ),
    file('<stdin>',cls_le__sup__iff_2) ).

fof(c_0_65_066,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X5),X1,X5)
      | ~ c_lessequals(X2,X1,X5)
      | ~ c_lessequals(X4,X1,X5) ),
    file('<stdin>',cls_sup__least_0) ).

fof(c_0_66_067,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X5),X1,X5)
      | ~ c_lessequals(X10,X1,X5)
      | ~ c_lessequals(X11,X1,X5) ),
    file('<stdin>',cls_le__supI_0) ).

fof(c_0_67_068,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X5),X5)
      | ~ c_lessequals(X1,X2,X5)
      | ~ c_lessequals(X1,X4,X5) ),
    file('<stdin>',cls_inf__greatest_0) ).

fof(c_0_68_069,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X5),X5)
      | ~ c_lessequals(X1,X2,X5)
      | ~ c_lessequals(X1,X4,X5) ),
    file('<stdin>',cls_le__inf__iff_2) ).

fof(c_0_69_070,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X5),X5)
      | ~ c_lessequals(X1,X10,X5)
      | ~ c_lessequals(X1,X11,X5) ),
    file('<stdin>',cls_le__infI_0) ).

fof(c_0_70_071,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X5),X2,X5)
      | ~ c_lessequals(X4,X2,X5)
      | ~ c_lessequals(X1,X2,X5) ),
    file('<stdin>',cls_min__max_Ole__sup__iff_2) ).

fof(c_0_71_072,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(c_Orderings_Oord__class_Omax(X4,X2,X5),X1,X5)
      | ~ c_lessequals(X2,X1,X5)
      | ~ c_lessequals(X4,X1,X5) ),
    file('<stdin>',cls_min__max_Osup__least_0) ).

fof(c_0_72_073,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(c_Orderings_Oord__class_Omax(X11,X10,X5),X1,X5)
      | ~ c_lessequals(X10,X1,X5)
      | ~ c_lessequals(X11,X1,X5) ),
    file('<stdin>',cls_min__max_Ole__supI_0) ).

fof(c_0_73_074,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X1,c_Orderings_Oord__class_Omin(X4,X2,X5),X5)
      | ~ c_lessequals(X1,X2,X5)
      | ~ c_lessequals(X1,X4,X5) ),
    file('<stdin>',cls_min__max_Oinf__greatest_0) ).

fof(c_0_74_075,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X1,c_Orderings_Oord__class_Omin(X4,X2,X5),X5)
      | ~ c_lessequals(X1,X2,X5)
      | ~ c_lessequals(X1,X4,X5) ),
    file('<stdin>',cls_min__max_Ole__inf__iff_2) ).

fof(c_0_75_076,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X1,c_Orderings_Oord__class_Omin(X11,X10,X5),X5)
      | ~ c_lessequals(X1,X10,X5)
      | ~ c_lessequals(X1,X11,X5) ),
    file('<stdin>',cls_min__max_Ole__infI_0) ).

fof(c_0_76_077,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X11,X5),c_HOL_Oabs__class_Oabs(X10,X5),X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X11,X5),c_HOL_Oabs__class_Oabs(X10,X5),X5) ),
    file('<stdin>',cls_abs__add__abs_0) ).

fof(c_0_77_078,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(X11,X10,X5) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X5),c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X5),X5) ),
    file('<stdin>',cls_add__eq__inf__sup_0) ).

fof(c_0_78_079,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5),X2,X5) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X5),X5) ),
    file('<stdin>',cls_inf__sup__aci_I2_J_0) ).

fof(c_0_79_080,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(X4,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X5),X5) ),
    file('<stdin>',cls_inf__sup__aci_I3_J_0) ).

fof(c_0_80_081,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5),X2,X5) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X5),X5) ),
    file('<stdin>',cls_inf__assoc_0) ).

fof(c_0_81_082,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(X4,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X5),X5) ),
    file('<stdin>',cls_inf__left__commute_0) ).

fof(c_0_82_083,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X5)
      | c_HOL_Oplus__class_Oplus(X11,c_HOL_Oplus__class_Oplus(X10,X12,X5),X5) = c_HOL_Oplus__class_Oplus(X10,c_HOL_Oplus__class_Oplus(X11,X12,X5),X5) ),
    file('<stdin>',cls_comm__monoid__add_Omult__left__commute_0) ).

fof(c_0_83_084,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X11,X10,X5),X12,X5) = c_HOL_Oplus__class_Oplus(X11,c_HOL_Oplus__class_Oplus(X10,X12,X5),X5) ),
    file('<stdin>',cls_comm__monoid__add_Omult__assoc_0) ).

fof(c_0_84_085,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X5),X2,X5) ),
    file('<stdin>',cls_class__semiring_Oadd__a_0) ).

fof(c_0_85_086,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X5),X5) = c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(X1,X2,X5),X5) ),
    file('<stdin>',cls_add__cancel__21_1) ).

fof(c_0_86_087,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X11,X10,X5),X12,X5) = c_HOL_Oplus__class_Oplus(X11,c_HOL_Oplus__class_Oplus(X10,X12,X5),X5) ),
    file('<stdin>',cls_ab__semigroup__add__class_Oadd__ac_I1_J_0) ).

fof(c_0_87_088,axiom,
    ! [X15,X12,X11,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X11,c_HOL_Oplus__class_Oplus(X12,X15,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X11,X12,X5),X15,X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I25_J_0) ).

fof(c_0_88_089,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X11,X10,X5),X12,X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X11,X12,X5),X10,X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I23_J_0) ).

fof(c_0_89_090,axiom,
    ! [X15,X12,X11,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X11,c_HOL_Oplus__class_Oplus(X12,X15,X5),X5) = c_HOL_Oplus__class_Oplus(X12,c_HOL_Oplus__class_Oplus(X11,X15,X5),X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I22_J_0) ).

fof(c_0_90_091,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X11,X10,X5),X12,X5) = c_HOL_Oplus__class_Oplus(X11,c_HOL_Oplus__class_Oplus(X10,X12,X5),X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I21_J_0) ).

fof(c_0_91_092,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(X4,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X5),X5) ),
    file('<stdin>',cls_sup__left__commute_0) ).

fof(c_0_92_093,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),X2,X5) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X5),X5) ),
    file('<stdin>',cls_sup__assoc_0) ).

fof(c_0_93_094,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(X4,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X5),X5) ),
    file('<stdin>',cls_inf__sup__aci_I7_J_0) ).

fof(c_0_94_095,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),X2,X5) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X5),X5) ),
    file('<stdin>',cls_inf__sup__aci_I6_J_0) ).

fof(c_0_95_096,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X4,X2,X5),X5) = c_Orderings_Oord__class_Omax(X4,c_Orderings_Oord__class_Omax(X1,X2,X5),X5) ),
    file('<stdin>',cls_min__max_Osup__left__commute_0) ).

fof(c_0_96_097,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X1,X4,X5),X2,X5) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X4,X2,X5),X5) ),
    file('<stdin>',cls_min__max_Osup__assoc_0) ).

fof(c_0_97_098,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X1,X4,X5),X2,X5) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X4,X2,X5),X5) ),
    file('<stdin>',cls_min__max_Oinf__assoc_0) ).

fof(c_0_98_099,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X4,X2,X5),X5) = c_Orderings_Oord__class_Omin(X4,c_Orderings_Oord__class_Omin(X1,X2,X5),X5) ),
    file('<stdin>',cls_min__max_Oinf__left__commute_0) ).

fof(c_0_99_100,axiom,
    ! [X13,X4,X14,X1,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X1,X4,X5) != c_HOL_Ominus__class_Ominus(X14,X13,X5)
      | c_HOL_Oord__class_Oless(X1,X4,X5)
      | ~ c_HOL_Oord__class_Oless(X14,X13,X5) ),
    file('<stdin>',cls_less__eqI_1) ).

fof(c_0_100_101,axiom,
    ! [X13,X4,X14,X1,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X1,X4,X5) != c_HOL_Ominus__class_Ominus(X14,X13,X5)
      | c_HOL_Oord__class_Oless(X14,X13,X5)
      | ~ c_HOL_Oord__class_Oless(X1,X4,X5) ),
    file('<stdin>',cls_less__eqI_0) ).

fof(c_0_101_102,axiom,
    ! [X13,X4,X14,X1,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X1,X4,X5) != c_HOL_Ominus__class_Ominus(X14,X13,X5)
      | c_lessequals(X13,X14,X5)
      | ~ c_lessequals(X4,X1,X5) ),
    file('<stdin>',cls_le__eqI_0) ).

fof(c_0_102_103,axiom,
    ! [X13,X4,X14,X1,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X1,X4,X5) != c_HOL_Ominus__class_Ominus(X14,X13,X5)
      | c_lessequals(X4,X1,X5)
      | ~ c_lessequals(X13,X14,X5) ),
    file('<stdin>',cls_le__eqI_1) ).

fof(c_0_103_104,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X4,X2,X5)
      | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X4,X5),X2,X5) ),
    file('<stdin>',cls_max__less__iff__conj_1) ).

fof(c_0_104_105,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X1,X2,X5)
      | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X4,X5),X2,X5) ),
    file('<stdin>',cls_max__less__iff__conj_0) ).

fof(c_0_105_106,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X2,X4,X5)
      | ~ c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omin(X1,X4,X5),X5) ),
    file('<stdin>',cls_min__less__iff__conj_1) ).

fof(c_0_106_107,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X2,X1,X5)
      | ~ c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omin(X1,X4,X5),X5) ),
    file('<stdin>',cls_min__less__iff__conj_0) ).

fof(c_0_107_108,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X4,X2,X5)
      | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X5),X2,X5) ),
    file('<stdin>',cls_min__max_Ole__sup__iff_1) ).

fof(c_0_108_109,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X1,X2,X5)
      | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X5),X2,X5) ),
    file('<stdin>',cls_min__max_Ole__sup__iff_0) ).

fof(c_0_109_110,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X10,X1,X5)
      | ~ c_lessequals(c_Orderings_Oord__class_Omax(X11,X10,X5),X1,X5) ),
    file('<stdin>',cls_min__max_Ole__supE_1) ).

fof(c_0_110_111,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X11,X1,X5)
      | ~ c_lessequals(c_Orderings_Oord__class_Omax(X11,X10,X5),X1,X5) ),
    file('<stdin>',cls_min__max_Ole__supE_0) ).

fof(c_0_111_112,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X1,X2,X5)
      | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X4,X2,X5),X5) ),
    file('<stdin>',cls_min__max_Ole__inf__iff_1) ).

fof(c_0_112_113,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X1,X4,X5)
      | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X4,X2,X5),X5) ),
    file('<stdin>',cls_min__max_Ole__inf__iff_0) ).

fof(c_0_113_114,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X1,X10,X5)
      | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X11,X10,X5),X5) ),
    file('<stdin>',cls_min__max_Ole__infE_1) ).

fof(c_0_114_115,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X1,X11,X5)
      | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X11,X10,X5),X5) ),
    file('<stdin>',cls_min__max_Ole__infE_0) ).

fof(c_0_115_116,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_lessequals(X1,X2,X5)
      | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X5),X5) ),
    file('<stdin>',cls_le__inf__iff_1) ).

fof(c_0_116_117,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_lessequals(X1,X4,X5)
      | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X5),X5) ),
    file('<stdin>',cls_le__inf__iff_0) ).

fof(c_0_117_118,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_lessequals(X1,X10,X5)
      | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X5),X5) ),
    file('<stdin>',cls_le__infE_1) ).

fof(c_0_118_119,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_lessequals(X1,X11,X5)
      | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X5),X5) ),
    file('<stdin>',cls_le__infE_0) ).

fof(c_0_119_120,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_lessequals(X4,X2,X5)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),X2,X5) ),
    file('<stdin>',cls_le__sup__iff_1) ).

fof(c_0_120_121,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_lessequals(X1,X2,X5)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),X2,X5) ),
    file('<stdin>',cls_le__sup__iff_0) ).

fof(c_0_121_122,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_lessequals(X10,X1,X5)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X5),X1,X5) ),
    file('<stdin>',cls_le__supE_1) ).

fof(c_0_122_123,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_lessequals(X11,X1,X5)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X5),X1,X5) ),
    file('<stdin>',cls_le__supE_0) ).

fof(c_0_123_124,axiom,
    ! [X10,X11,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X11,X5),X10,X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X11,X5),X10,X5)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X5) ),
    file('<stdin>',cls_abs__less__iff_2) ).

fof(c_0_124_125,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(c_HOL_Oabs__class_Oabs(X11,X5),X10,X5)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,X5),X10,X5)
      | ~ c_lessequals(X11,X10,X5) ),
    file('<stdin>',cls_abs__leI_0) ).

fof(c_0_125_126,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(c_HOL_Oabs__class_Oabs(X11,X5),X10,X5)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,X5),X10,X5)
      | ~ c_lessequals(X11,X10,X5) ),
    file('<stdin>',cls_abs__le__iff_2) ).

fof(c_0_126_127,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X5) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X11,X5),c_HOL_Ouminus__class_Ouminus(X10,X5),X5),X5) ),
    file('<stdin>',cls_inf__eq__neg__sup_0) ).

fof(c_0_127_128,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X5) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X11,X5),c_HOL_Ouminus__class_Ouminus(X10,X5),X5),X5) ),
    file('<stdin>',cls_sup__eq__neg__inf_0) ).

fof(c_0_128_129,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X5),X5) != X4
      | X1 = c_HOL_Ouminus__class_Ouminus(X2,X5) ),
    file('<stdin>',cls_add__cancel__end_0) ).

fof(c_0_129_130,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X1,X4,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X2,X4,X5) ),
    file('<stdin>',cls_less__max__iff__disj_2) ).

fof(c_0_130_131,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X1,X4,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X5) ),
    file('<stdin>',cls_less__max__iff__disj_1) ).

fof(c_0_131_132,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X11,X10,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X1,X10,X5) ),
    file('<stdin>',cls_min__max_Oless__supI2_0) ).

fof(c_0_132_133,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X11,X10,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X1,X11,X5) ),
    file('<stdin>',cls_min__max_Oless__supI1_0) ).

fof(c_0_133_134,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X4,X5),X2,X5)
      | ~ c_HOL_Oord__class_Oless(X4,X2,X5) ),
    file('<stdin>',cls_min__less__iff__disj_2) ).

fof(c_0_134_135,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X4,X5),X2,X5)
      | ~ c_HOL_Oord__class_Oless(X1,X2,X5) ),
    file('<stdin>',cls_min__less__iff__disj_1) ).

fof(c_0_135_136,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X11,X10,X5),X1,X5)
      | ~ c_HOL_Oord__class_Oless(X10,X1,X5) ),
    file('<stdin>',cls_min__max_Oless__infI2_0) ).

fof(c_0_136_137,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X11,X10,X5),X1,X5)
      | ~ c_HOL_Oord__class_Oless(X11,X1,X5) ),
    file('<stdin>',cls_min__max_Oless__infI1_0) ).

fof(c_0_137_138,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X2,c_Orderings_Oord__class_Omax(X1,X4,X5),X5)
      | ~ c_lessequals(X2,X4,X5) ),
    file('<stdin>',cls_le__max__iff__disj_2) ).

fof(c_0_138_139,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X2,c_Orderings_Oord__class_Omax(X1,X4,X5),X5)
      | ~ c_lessequals(X2,X1,X5) ),
    file('<stdin>',cls_le__max__iff__disj_1) ).

fof(c_0_139_140,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X1,c_Orderings_Oord__class_Omax(X11,X10,X5),X5)
      | ~ c_lessequals(X1,X10,X5) ),
    file('<stdin>',cls_min__max_Ole__supI2_0) ).

fof(c_0_140_141,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X1,c_Orderings_Oord__class_Omax(X11,X10,X5),X5)
      | ~ c_lessequals(X1,X11,X5) ),
    file('<stdin>',cls_min__max_Ole__supI1_0) ).

fof(c_0_141_142,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X5),X2,X5)
      | ~ c_lessequals(X4,X2,X5) ),
    file('<stdin>',cls_min__le__iff__disj_2) ).

fof(c_0_142_143,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X5),X2,X5)
      | ~ c_lessequals(X1,X2,X5) ),
    file('<stdin>',cls_min__le__iff__disj_1) ).

fof(c_0_143_144,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(c_Orderings_Oord__class_Omin(X11,X10,X5),X1,X5)
      | ~ c_lessequals(X10,X1,X5) ),
    file('<stdin>',cls_min__max_Ole__infI2_0) ).

fof(c_0_144_145,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(c_Orderings_Oord__class_Omin(X11,X10,X5),X1,X5)
      | ~ c_lessequals(X11,X1,X5) ),
    file('<stdin>',cls_min__max_Ole__infI1_0) ).

fof(c_0_145_146,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X5),X1,X5)
      | ~ c_HOL_Oord__class_Oless(X11,X1,X5) ),
    file('<stdin>',cls_less__infI1_0) ).

fof(c_0_146_147,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X5),X1,X5)
      | ~ c_HOL_Oord__class_Oless(X10,X1,X5) ),
    file('<stdin>',cls_less__infI2_0) ).

fof(c_0_147_148,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X1,X11,X5) ),
    file('<stdin>',cls_less__supI1_0) ).

fof(c_0_148_149,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X1,X10,X5) ),
    file('<stdin>',cls_less__supI2_0) ).

fof(c_0_149_150,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X5),X1,X5)
      | ~ c_lessequals(X10,X1,X5) ),
    file('<stdin>',cls_le__infI2_0) ).

fof(c_0_150_151,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X5),X1,X5)
      | ~ c_lessequals(X11,X1,X5) ),
    file('<stdin>',cls_le__infI1_0) ).

fof(c_0_151_152,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X5),X5)
      | ~ c_lessequals(X1,X10,X5) ),
    file('<stdin>',cls_le__supI2_0) ).

fof(c_0_152_153,axiom,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X5),X5)
      | ~ c_lessequals(X1,X11,X5) ),
    file('<stdin>',cls_le__supI1_0) ).

fof(c_0_153_154,axiom,
    ! [X10,X11,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X11,X10,X5),X5) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X10,X11,X5),X5) ),
    file('<stdin>',cls_norm__minus__commute_0) ).

fof(c_0_154_155,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X11,X10,X5),X5) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X10,X11,X5),X5) ),
    file('<stdin>',cls_abs__minus__commute_0) ).

fof(c_0_155_156,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Opreorder(X5)
      | c_HOL_Oord__class_Oless(X1,X2,X5)
      | ~ c_HOL_Oord__class_Oless(X4,X2,X5)
      | ~ c_HOL_Oord__class_Oless(X1,X4,X5) ),
    file('<stdin>',cls_order__less__trans_0) ).

fof(c_0_156_157,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | c_HOL_Oord__class_Oless(X2,X1,X5)
      | ~ c_HOL_Oord__class_Oless(X2,X4,X5)
      | ~ c_HOL_Oord__class_Oless(X4,X1,X5) ),
    file('<stdin>',cls_xt1_I10_J_0) ).

fof(c_0_157_158,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | c_HOL_Oord__class_Oless(X2,X1,X5)
      | ~ c_lessequals(X2,X4,X5)
      | ~ c_HOL_Oord__class_Oless(X4,X1,X5) ),
    file('<stdin>',cls_xt1_I7_J_0) ).

fof(c_0_158_159,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | c_HOL_Oord__class_Oless(X2,X1,X5)
      | ~ c_HOL_Oord__class_Oless(X2,X4,X5)
      | ~ c_lessequals(X4,X1,X5) ),
    file('<stdin>',cls_xt1_I8_J_0) ).

fof(c_0_159_160,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Opreorder(X5)
      | c_HOL_Oord__class_Oless(X1,X2,X5)
      | ~ c_lessequals(X4,X2,X5)
      | ~ c_HOL_Oord__class_Oless(X1,X4,X5) ),
    file('<stdin>',cls_order__less__le__trans_0) ).

fof(c_0_160_161,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Opreorder(X5)
      | c_HOL_Oord__class_Oless(X1,X2,X5)
      | ~ c_HOL_Oord__class_Oless(X4,X2,X5)
      | ~ c_lessequals(X1,X4,X5) ),
    file('<stdin>',cls_order__le__less__trans_0) ).

fof(c_0_161_162,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | c_lessequals(X2,X1,X5)
      | ~ c_lessequals(X2,X4,X5)
      | ~ c_lessequals(X4,X1,X5) ),
    file('<stdin>',cls_xt1_I6_J_0) ).

fof(c_0_162_163,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Opreorder(X5)
      | c_lessequals(X1,X2,X5)
      | ~ c_lessequals(X4,X2,X5)
      | ~ c_lessequals(X1,X4,X5) ),
    file('<stdin>',cls_order__trans_0) ).

fof(c_0_163_164,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X11,X5),c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    file('<stdin>',cls_neg__inf__eq__sup_0) ).

fof(c_0_164_165,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X5),c_HOL_Ouminus__class_Ouminus(X4,X5),X5) ),
    file('<stdin>',cls_compl__inf_0) ).

fof(c_0_165_166,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X5),c_HOL_Ouminus__class_Ouminus(X4,X5),X5) ),
    file('<stdin>',cls_compl__sup_0) ).

fof(c_0_166_167,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X11,X5),c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    file('<stdin>',cls_neg__sup__eq__inf_0) ).

fof(c_0_167_168,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X11,X5),c_HOL_Ouminus__class_Ouminus(X10,X5),X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X11,X10,X5),X5) ),
    file('<stdin>',cls_Lim_Ominus__diff__minus_0) ).

fof(c_0_168_169,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X11,X10,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X10,X5),c_HOL_Ouminus__class_Ouminus(X11,X5),X5) ),
    file('<stdin>',cls_minus__add_0) ).

fof(c_0_169_170,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X11,X10,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X11,X5),c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    file('<stdin>',cls_minus__add__distrib_0) ).

fof(c_0_170,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Oord__class_Oless(X11,X10,X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X10,X5),c_HOL_Ouminus__class_Ouminus(X11,X5),X5) ),
    file('<stdin>',cls_neg__less__iff__less_0) ).

fof(c_0_171,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_lessequals(X11,X10,X5)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X5),c_HOL_Ouminus__class_Ouminus(X11,X5),X5) ),
    file('<stdin>',cls_neg__le__iff__le_0) ).

fof(c_0_172,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X4,X5),X5) = c_Orderings_Oord__class_Omin(X1,X4,X5) ),
    file('<stdin>',cls_min__max_Oinf__left__idem_0) ).

fof(c_0_173,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5) ),
    file('<stdin>',cls_sup__left__idem_0) ).

fof(c_0_174,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5) ),
    file('<stdin>',cls_inf__sup__aci_I8_J_0) ).

fof(c_0_175,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X4,X5),X5) = c_Orderings_Oord__class_Omax(X1,X4,X5) ),
    file('<stdin>',cls_min__max_Osup__left__idem_0) ).

fof(c_0_176,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5) ),
    file('<stdin>',cls_inf__sup__aci_I4_J_0) ).

fof(c_0_177,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5) ),
    file('<stdin>',cls_inf__left__idem_0) ).

fof(c_0_178,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Oplus__class_Oplus(X11,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X11,X5),X10,X5),X5) = X10 ),
    file('<stdin>',cls_add__minus__cancel_0) ).

fof(c_0_179,axiom,
    ! [X6,X7,X8] :
      ( c_lessequals(X8,X6,tc_RealDef_Oreal)
      | ~ c_lessequals(X7,X6,tc_RealDef_Oreal)
      | ~ c_lessequals(X8,X7,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__le__trans_0) ).

fof(c_0_180,axiom,
    ! [X10,X11,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X11,X5),X10,X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X11,X5),X10,X5) ),
    file('<stdin>',cls_abs__less__iff_1) ).

fof(c_0_181,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X11,X5),X10,X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X10,X5),X11,X5) ),
    file('<stdin>',cls_minus__less__iff_1) ).

fof(c_0_182,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X10,X5),X11,X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X11,X5),X10,X5) ),
    file('<stdin>',cls_minus__less__iff_0) ).

fof(c_0_183,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Oord__class_Oless(X11,c_HOL_Ouminus__class_Ouminus(X10,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ouminus__class_Ouminus(X11,X5),X5) ),
    file('<stdin>',cls_less__minus__iff_1) ).

fof(c_0_184,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Oord__class_Oless(X10,c_HOL_Ouminus__class_Ouminus(X11,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    file('<stdin>',cls_less__minus__iff_0) ).

fof(c_0_185,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,X5),X10,X5)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X11,X5),X10,X5) ),
    file('<stdin>',cls_abs__le__D2_0) ).

fof(c_0_186,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,X5),X10,X5)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X5),X11,X5) ),
    file('<stdin>',cls_minus__le__iff_1) ).

fof(c_0_187,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X5),X11,X5)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,X5),X10,X5) ),
    file('<stdin>',cls_minus__le__iff_0) ).

fof(c_0_188,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_lessequals(X11,c_HOL_Ouminus__class_Ouminus(X10,X5),X5)
      | ~ c_lessequals(X10,c_HOL_Ouminus__class_Ouminus(X11,X5),X5) ),
    file('<stdin>',cls_le__minus__iff_1) ).

fof(c_0_189,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_lessequals(X10,c_HOL_Ouminus__class_Ouminus(X11,X5),X5)
      | ~ c_lessequals(X11,c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    file('<stdin>',cls_le__minus__iff_0) ).

fof(c_0_190,axiom,
    ! [X4,X1] :
      ( c_HOL_Oord__class_Oless(X1,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_exp__less__cancel_0) ).

fof(c_0_191,axiom,
    ! [X4,X1] :
      ( c_lessequals(X1,X4,tc_RealDef_Oreal)
      | ~ c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_exp__le__cancel__iff_0) ).

fof(c_0_192,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5) != c_Orderings_Otop__class_Otop(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5) != c_Orderings_Obot__class_Obot(X5)
      | c_HOL_Ouminus__class_Ouminus(X1,X5) = X4 ),
    file('<stdin>',cls_compl__unique_0) ).

fof(c_0_193,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Opreorder(X5)
      | c_HOL_Oord__class_Oless(X1,X4,X5)
      | c_lessequals(X4,X1,X5)
      | ~ c_lessequals(X1,X4,X5) ),
    file('<stdin>',cls_less__le__not__le_2) ).

fof(c_0_194,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X10,X5),c_HOL_Ouminus__class_Ouminus(X11,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X5) ),
    file('<stdin>',cls_neg__less__iff__less_1) ).

fof(c_0_195,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X5),c_HOL_Ouminus__class_Ouminus(X11,X5),X5)
      | ~ c_lessequals(X11,X10,X5) ),
    file('<stdin>',cls_le__imp__neg__le_0) ).

fof(c_0_196,axiom,
    ! [X2,X4,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X5),c_HOL_Oplus__class_Oplus(X4,X2,X5),X5) = X4 ),
    file('<stdin>',cls_add__cancel__end_1) ).

fof(c_0_197,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X11,X5),c_HOL_Oplus__class_Oplus(X11,X10,X5),X5) = X10 ),
    file('<stdin>',cls_minus__add__cancel_0) ).

fof(c_0_198,axiom,
    ! [X10,X11,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oord__class_Oless(X11,X10,X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X11,X5),X10,X5) ),
    file('<stdin>',cls_abs__less__iff_0) ).

fof(c_0_199,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(X11,X10,X5)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X11,X5),X10,X5) ),
    file('<stdin>',cls_abs__le__D1_0) ).

fof(c_0_200,axiom,
    ! [X2,X4,X1,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | ~ class_Int_Onumber__ring(X5)
      | c_HOL_Oplus__class_Oplus(X1,X4,X5) != c_HOL_Oplus__class_Oplus(X1,X2,X5)
      | X4 = X2 ),
    file('<stdin>',cls_class__ringb_Oadd__cancel_0) ).

fof(c_0_201,axiom,
    ! [X4,X1] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X1,X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_exp__less__mono_0) ).

fof(c_0_202,axiom,
    ! [X4,X1] :
      ( c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X1,X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_exp__le__cancel__iff_1) ).

fof(c_0_203,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X11,X10,X5),X5) = c_HOL_Ominus__class_Ominus(X10,X11,X5) ),
    file('<stdin>',cls_minus__diff__eq_0) ).

fof(c_0_204,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | X1 = X4
      | ~ c_lessequals(X1,X4,X5)
      | ~ c_lessequals(X4,X1,X5) ),
    file('<stdin>',cls_order__antisym__conv_0) ).

fof(c_0_205,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | X1 = X4
      | ~ c_lessequals(X4,X1,X5)
      | ~ c_lessequals(X1,X4,X5) ),
    file('<stdin>',cls_order__eq__iff_2) ).

fof(c_0_206,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | X1 = X4
      | ~ c_lessequals(X4,X1,X5)
      | ~ c_lessequals(X1,X4,X5) ),
    file('<stdin>',cls_order__antisym_0) ).

fof(c_0_207,axiom,
    ! [X13,X14,X1,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X1,X1,X5) != c_HOL_Ominus__class_Ominus(X14,X13,X5)
      | X14 = X13 ),
    file('<stdin>',cls_eq__eqI_0) ).

fof(c_0_208,axiom,
    ! [X4,X19,X1,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X19,X4,X5) != c_HOL_Ominus__class_Ominus(X1,X1,X5)
      | X19 = X4 ),
    file('<stdin>',cls_eq__eqI_1) ).

fof(c_0_209,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X5)
      | c_HOL_Oplus__class_Oplus(X11,X10,X5) != c_HOL_Oplus__class_Oplus(X11,X12,X5)
      | X10 = X12 ),
    file('<stdin>',cls_add__imp__eq_0) ).

fof(c_0_210,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X5)
      | c_HOL_Oplus__class_Oplus(X11,X10,X5) != c_HOL_Oplus__class_Oplus(X11,X12,X5)
      | X10 = X12 ),
    file('<stdin>',cls_add__left__cancel_0) ).

fof(c_0_211,axiom,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X5)
      | c_HOL_Oplus__class_Oplus(X10,X11,X5) != c_HOL_Oplus__class_Oplus(X12,X11,X5)
      | X10 = X12 ),
    file('<stdin>',cls_add__right__cancel_0) ).

fof(c_0_212,axiom,
    ! [X10,X11,X5] :
      ( ~ class_Orderings_Opreorder(X5)
      | ~ c_HOL_Oord__class_Oless(X10,X11,X5)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X5) ),
    file('<stdin>',cls_order__less__asym_H_0) ).

fof(c_0_213,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Opreorder(X5)
      | ~ c_HOL_Oord__class_Oless(X4,X1,X5)
      | ~ c_HOL_Oord__class_Oless(X1,X4,X5) ),
    file('<stdin>',cls_order__less__asym_0) ).

fof(c_0_214,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | ~ c_HOL_Oord__class_Oless(X1,X4,X5)
      | ~ c_HOL_Oord__class_Oless(X4,X1,X5) ),
    file('<stdin>',cls_not__less__iff__gr__or__eq_1) ).

fof(c_0_215,axiom,
    ! [X10,X11,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X5)
      | ~ c_HOL_Oord__class_Oless(X10,X11,X5) ),
    file('<stdin>',cls_xt1_I9_J_0) ).

fof(c_0_216,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Opreorder(X5)
      | ~ c_lessequals(X4,X1,X5)
      | ~ c_HOL_Oord__class_Oless(X1,X4,X5) ),
    file('<stdin>',cls_less__le__not__le_1) ).

fof(c_0_217,axiom,
    ! [X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | ~ c_lessequals(X1,X1,X5)
      | ~ c_HOL_Oord__class_Oless(X1,X1,X5) ),
    file('<stdin>',cls_linorder__antisym__conv2_1) ).

fof(c_0_218,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | ~ c_HOL_Oord__class_Oless(X1,X4,X5)
      | ~ c_lessequals(X4,X1,X5) ),
    file('<stdin>',cls_linorder__not__less_1) ).

fof(c_0_219,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | ~ c_lessequals(X1,X4,X5)
      | ~ c_HOL_Oord__class_Oless(X4,X1,X5) ),
    file('<stdin>',cls_linorder__not__le_1) ).

fof(c_0_220,axiom,
    ! [X1,X9] :
      ( c_lessequals(X1,X9,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X9,tc_RealDef_Oreal) ),
    file('<stdin>',cls_abs__le__interval__iff_1) ).

fof(c_0_221,axiom,
    ! [X2,X3] :
      ( X2 = X3
      | ~ c_lessequals(X3,X2,tc_RealDef_Oreal)
      | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__le__antisym_0) ).

fof(c_0_222,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X11,X10,X5),X10,X5) = X11 ),
    file('<stdin>',cls_diff__add__cancel_0) ).

fof(c_0_223,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),X5) = X1 ),
    file('<stdin>',cls_inf__sup__absorb_0) ).

fof(c_0_224,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X4,X5),X5) = X1 ),
    file('<stdin>',cls_min__max_Oinf__sup__absorb_0) ).

fof(c_0_225,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X11,X10,X5),X10,X5) = X11 ),
    file('<stdin>',cls_add__diff__cancel_0) ).

fof(c_0_226,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X4,X5),X5) = X1 ),
    file('<stdin>',cls_min__max_Osup__inf__absorb_0) ).

fof(c_0_227,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5),X5) = X1 ),
    file('<stdin>',cls_sup__inf__absorb_0) ).

fof(c_0_228,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_lessequals(X4,c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),X5) ),
    file('<stdin>',cls_sup__ge2_0) ).

fof(c_0_229,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),X5) ),
    file('<stdin>',cls_sup__ge1_0) ).

fof(c_0_230,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_lessequals(X4,c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),X5) ),
    file('<stdin>',cls_inf__sup__ord_I4_J_0) ).

fof(c_0_231,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),X5) ),
    file('<stdin>',cls_inf__sup__ord_I3_J_0) ).

fof(c_0_232,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5),X4,X5) ),
    file('<stdin>',cls_inf__le2_0) ).

fof(c_0_233,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5),X1,X5) ),
    file('<stdin>',cls_inf__le1_0) ).

fof(c_0_234,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5),X4,X5) ),
    file('<stdin>',cls_inf__sup__ord_I2_J_0) ).

fof(c_0_235,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5),X1,X5) ),
    file('<stdin>',cls_inf__sup__ord_I1_J_0) ).

fof(c_0_236,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X4,X5),X5) ),
    file('<stdin>',cls_le__maxI1_0) ).

fof(c_0_237,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X4,c_Orderings_Oord__class_Omax(X1,X4,X5),X5) ),
    file('<stdin>',cls_le__maxI2_0) ).

fof(c_0_238,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X5),X4,X5) ),
    file('<stdin>',cls_min__max_Oinf__le2_0) ).

fof(c_0_239,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X5),X1,X5) ),
    file('<stdin>',cls_min__max_Oinf__le1_0) ).

fof(c_0_240,axiom,
    ! [X4,X1] :
      ( c_HOL_Oord__class_Oless(X1,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__less__iff_0) ).

fof(c_0_241,axiom,
    ! [X4,X1] :
      ( c_lessequals(X1,X4,tc_RealDef_Oreal)
      | ~ c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__le__iff_0) ).

fof(c_0_242,axiom,
    ! [X10,X11,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | c_HOL_Oord__class_Oless(X10,X11,X5)
      | X11 = X10
      | ~ c_lessequals(X10,X11,X5) ),
    file('<stdin>',cls_xt1_I11_J_0) ).

fof(c_0_243,axiom,
    ! [X10,X11,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | c_HOL_Oord__class_Oless(X10,X11,X5)
      | ~ c_lessequals(X10,X11,X5)
      | X11 = X10 ),
    file('<stdin>',cls_xt1_I12_J_0) ).

fof(c_0_244,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | X1 = X4
      | c_HOL_Oord__class_Oless(X1,X4,X5)
      | ~ c_lessequals(X1,X4,X5) ),
    file('<stdin>',cls_linorder__antisym__conv2_0) ).

fof(c_0_245,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | X1 = X4
      | ~ c_lessequals(X1,X4,X5)
      | c_HOL_Oord__class_Oless(X1,X4,X5) ),
    file('<stdin>',cls_linorder__antisym__conv1_0) ).

fof(c_0_246,axiom,
    ! [X10,X11,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | c_HOL_Oord__class_Oless(X11,X10,X5)
      | ~ c_lessequals(X11,X10,X5)
      | X11 = X10 ),
    file('<stdin>',cls_order__neq__le__trans_0) ).

fof(c_0_247,axiom,
    ! [X10,X11,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | c_HOL_Oord__class_Oless(X11,X10,X5)
      | X11 = X10
      | ~ c_lessequals(X11,X10,X5) ),
    file('<stdin>',cls_order__le__neq__trans_0) ).

fof(c_0_248,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | X1 = X4
      | c_HOL_Oord__class_Oless(X1,X4,X5)
      | ~ c_lessequals(X1,X4,X5) ),
    file('<stdin>',cls_order__le__less_0) ).

fof(c_0_249,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | c_HOL_Oord__class_Oless(X1,X4,X5)
      | X1 = X4
      | ~ c_lessequals(X1,X4,X5) ),
    file('<stdin>',cls_order__less__le_2) ).

fof(c_0_250,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5) != X4
      | c_lessequals(X1,X4,X5) ),
    file('<stdin>',cls_le__iff__sup_1) ).

fof(c_0_251,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omax(X1,X4,X5) != X4
      | c_lessequals(X1,X4,X5) ),
    file('<stdin>',cls_min__max_Ole__iff__sup_1) ).

fof(c_0_252,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omin(X1,X4,X5) != X1
      | c_lessequals(X1,X4,X5) ),
    file('<stdin>',cls_min__max_Ole__iff__inf_1) ).

fof(c_0_253,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5) != X1
      | c_lessequals(X1,X4,X5) ),
    file('<stdin>',cls_le__iff__inf_1) ).

fof(c_0_254,axiom,
    ! [X4,X1] :
      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X1,X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__less__iff_1) ).

fof(c_0_255,axiom,
    ! [X4,X1] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X1,X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_arctan__monotone_0) ).

fof(c_0_256,axiom,
    ! [X4,X1] :
      ( c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal)
      | ~ c_lessequals(X1,X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__le__iff_1) ).

fof(c_0_257,axiom,
    ! [X4,X1] :
      ( c_lessequals(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X4),tc_RealDef_Oreal)
      | ~ c_lessequals(X1,X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_arctan__monotone_H_0) ).

fof(c_0_258,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5) = X1
      | ~ c_lessequals(X4,X1,X5) ),
    file('<stdin>',cls_sup__absorb1_0) ).

fof(c_0_259,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5) = X4
      | ~ c_lessequals(X1,X4,X5) ),
    file('<stdin>',cls_le__iff__sup_0) ).

fof(c_0_260,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omax(X1,X4,X5) = X1
      | ~ c_lessequals(X4,X1,X5) ),
    file('<stdin>',cls_min__max_Osup__absorb1_0) ).

fof(c_0_261,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omax(X1,X4,X5) = X4
      | ~ c_lessequals(X1,X4,X5) ),
    file('<stdin>',cls_min__max_Ole__iff__sup_0) ).

fof(c_0_262,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omin(X1,X4,X5) = X4
      | ~ c_lessequals(X4,X1,X5) ),
    file('<stdin>',cls_min__max_Oinf__absorb2_0) ).

fof(c_0_263,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omin(X1,X4,X5) = X1
      | ~ c_lessequals(X1,X4,X5) ),
    file('<stdin>',cls_min__max_Ole__iff__inf_0) ).

fof(c_0_264,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5) = X4
      | ~ c_lessequals(X4,X1,X5) ),
    file('<stdin>',cls_inf__absorb2_0) ).

fof(c_0_265,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5) = X1
      | ~ c_lessequals(X1,X4,X5) ),
    file('<stdin>',cls_le__iff__inf_0) ).

fof(c_0_266,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Opreorder(X5)
      | c_lessequals(X1,X4,X5)
      | ~ c_HOL_Oord__class_Oless(X1,X4,X5) ),
    file('<stdin>',cls_order__less__imp__le_0) ).

fof(c_0_267,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | c_lessequals(X1,X4,X5)
      | ~ c_HOL_Oord__class_Oless(X1,X4,X5) ),
    file('<stdin>',cls_order__le__less_1) ).

fof(c_0_268,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_HOL_Ominus__class_Ominus(X1,X4,X5) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X4,X5),X5) ),
    file('<stdin>',cls_diff__eq_0) ).

fof(c_0_269,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ominus__class_Ominus(X11,c_HOL_Ouminus__class_Ouminus(X10,X5),X5) = c_HOL_Oplus__class_Oplus(X11,X10,X5) ),
    file('<stdin>',cls_diff__minus__eq__add_0) ).

fof(c_0_270,axiom,
    ! [X4,X1,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X1,X4,X5) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X4,X5),X5) ),
    file('<stdin>',cls_diff__def_0) ).

fof(c_0_271,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Int_Onumber__ring(X5)
      | c_HOL_Ominus__class_Ominus(X1,X4,X5) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X4,X5),X5) ),
    file('<stdin>',cls_class__ring_Osub__add_0) ).

fof(c_0_272,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ominus__class_Ominus(X11,X10,X5) = c_HOL_Oplus__class_Oplus(X11,c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    file('<stdin>',cls_diff__minus_0) ).

fof(c_0_273,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X11,X10,X5) = c_HOL_Oplus__class_Oplus(X11,c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    file('<stdin>',cls_ab__diff__minus_0) ).

fof(c_0_274,axiom,
    ! [X4,X1] :
      ( c_HOL_Oord__class_Oless(X1,X4,tc_RealDef_Oreal)
      | X1 = X4
      | ~ c_lessequals(X1,X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__less__def_2) ).

fof(c_0_275,axiom,
    ! [X4,X1] :
      ( c_lessequals(X1,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X1,X4,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__less__def_0) ).

fof(c_0_276,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X4,X1,X5)
      | c_HOL_Oord__class_Oless(X1,X4,X5)
      | X1 = X4 ),
    file('<stdin>',cls_linorder__neqE_0) ).

fof(c_0_277,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X4,X1,X5)
      | X1 = X4
      | c_HOL_Oord__class_Oless(X1,X4,X5) ),
    file('<stdin>',cls_linorder__less__linear_0) ).

fof(c_0_278,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | X1 = X4
      | c_HOL_Oord__class_Oless(X1,X4,X5)
      | c_HOL_Oord__class_Oless(X4,X1,X5) ),
    file('<stdin>',cls_linorder__antisym__conv3_0) ).

fof(c_0_279,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | X1 = X4
      | c_HOL_Oord__class_Oless(X4,X1,X5)
      | c_HOL_Oord__class_Oless(X1,X4,X5) ),
    file('<stdin>',cls_not__less__iff__gr__or__eq_0) ).

fof(c_0_280,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oord__class_Oless(X4,X1,X5)
      | c_HOL_Oord__class_Oless(X1,X4,X5)
      | X1 = X4 ),
    file('<stdin>',cls_linorder__neqE__ordered__idom_0) ).

fof(c_0_281,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X1,X4,X5)
      | c_lessequals(X4,X1,X5) ),
    file('<stdin>',cls_not__leE_0) ).

fof(c_0_282,axiom,
    ! [X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X1,X1,X5)
      | c_lessequals(X1,X1,X5) ),
    file('<stdin>',cls_linorder__antisym__conv1_1) ).

fof(c_0_283,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X4,X1,X5)
      | c_HOL_Oord__class_Oless(X1,X4,X5) ),
    file('<stdin>',cls_linorder__not__less_0) ).

fof(c_0_284,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X4,X1,X5)
      | c_lessequals(X1,X4,X5) ),
    file('<stdin>',cls_linorder__not__le_0) ).

fof(c_0_285,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X4,X1,X5)
      | c_lessequals(X1,X4,X5) ),
    file('<stdin>',cls_linorder__linear_0) ).

fof(c_0_286,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5) = c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X5) ),
    file('<stdin>',cls_inf__commute_0) ).

fof(c_0_287,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5) = c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X5) ),
    file('<stdin>',cls_inf__sup__aci_I1_J_0) ).

fof(c_0_288,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omin(X1,X4,X5) = c_Orderings_Oord__class_Omin(X4,X1,X5) ),
    file('<stdin>',cls_min__max_Oinf__commute_0) ).

fof(c_0_289,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(X4,X1,X5) ),
    file('<stdin>',cls_sup__commute_0) ).

fof(c_0_290,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(X4,X1,X5) ),
    file('<stdin>',cls_inf__sup__aci_I5_J_0) ).

fof(c_0_291,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omax(X1,X4,X5) = c_Orderings_Oord__class_Omax(X4,X1,X5) ),
    file('<stdin>',cls_min__max_Osup__commute_0) ).

fof(c_0_292,axiom,
    ! [X12,X11,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X11,X12,X5) = c_HOL_Oplus__class_Oplus(X12,X11,X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I24_J_0) ).

fof(c_0_293,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X1,X4,X5) = c_HOL_Oplus__class_Oplus(X4,X1,X5) ),
    file('<stdin>',cls_class__semiring_Oadd__c_0) ).

fof(c_0_294,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X5)
      | c_HOL_Oplus__class_Oplus(X11,X10,X5) = c_HOL_Oplus__class_Oplus(X10,X11,X5) ),
    file('<stdin>',cls_comm__monoid__add_Omult__commute_0) ).

fof(c_0_295,axiom,
    ! [X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,X5),c_HOL_Oabs__class_Oabs(X11,X5),X5) ),
    file('<stdin>',cls_abs__ge__minus__self_0) ).

fof(c_0_296,axiom,
    ! [X2,X3] :
      ( c_lessequals(X3,X2,tc_RealDef_Oreal)
      | c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__le__linear_0) ).

fof(c_0_297,axiom,
    ! [X16,X17,X5] :
      ( ~ class_Lattices_Obounded__lattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X17,X16,X5) != c_Orderings_Obot__class_Obot(X5)
      | X16 = c_Orderings_Obot__class_Obot(X5) ),
    file('<stdin>',cls_sup__eq__bot__eq2_0) ).

fof(c_0_298,axiom,
    ! [X16,X17,X5] :
      ( ~ class_Lattices_Obounded__lattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X17,X16,X5) != c_Orderings_Obot__class_Obot(X5)
      | X17 = c_Orderings_Obot__class_Obot(X5) ),
    file('<stdin>',cls_sup__eq__bot__eq1_0) ).

fof(c_0_299,axiom,
    ! [X16,X17,X5] :
      ( ~ class_Lattices_Obounded__lattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X17,X16,X5) != c_Orderings_Otop__class_Otop(X5)
      | X17 = c_Orderings_Otop__class_Otop(X5) ),
    file('<stdin>',cls_inf__eq__top__eq1_0) ).

fof(c_0_300,axiom,
    ! [X16,X17,X5] :
      ( ~ class_Lattices_Obounded__lattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X17,X16,X5) != c_Orderings_Otop__class_Otop(X5)
      | X16 = c_Orderings_Otop__class_Otop(X5) ),
    file('<stdin>',cls_inf__eq__top__eq2_0) ).

fof(c_0_301,axiom,
    ! [X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(X11,X5) = c_Lattices_Oupper__semilattice__class_Osup(X11,c_HOL_Ouminus__class_Ouminus(X11,X5),X5) ),
    file('<stdin>',cls_abs__lattice_0) ).

fof(c_0_302,axiom,
    ! [X1] :
      ( c_lessequals(X1,v_L____,tc_RealDef_Oreal)
      | ~ hBOOL(hAPP(v_P,X1)) ),
    file('<stdin>',cls_L_H_0) ).

fof(c_0_303,axiom,
    ! [X1] :
      ( c_HOL_Oord__class_Oless(X1,v_Y____,tc_RealDef_Oreal)
      | ~ hBOOL(hAPP(v_P,X1)) ),
    file('<stdin>',cls_Y_0) ).

fof(c_0_304,axiom,
    ! [X1] :
      ( c_HOL_Oord__class_Oless(X1,v_Y____,tc_RealDef_Oreal)
      | ~ hBOOL(hAPP(v_P,X1)) ),
    file('<stdin>',cls_CHAINED_0) ).

fof(c_0_305,axiom,
    ! [X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | ~ c_HOL_Oord__class_Oless(X1,X1,X5) ),
    file('<stdin>',cls_linorder__neq__iff_1) ).

fof(c_0_306,axiom,
    ! [X1,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | ~ c_HOL_Oord__class_Oless(X1,X1,X5) ),
    file('<stdin>',cls_order__less__le_1) ).

fof(c_0_307,axiom,
    ! [X1,X5] :
      ( ~ class_Orderings_Opreorder(X5)
      | ~ c_HOL_Oord__class_Oless(X1,X1,X5) ),
    file('<stdin>',cls_order__less__irrefl_0) ).

fof(c_0_308,axiom,
    ! [X1,X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X5),X1,X5) = c_Orderings_Otop__class_Otop(X5) ),
    file('<stdin>',cls_compl__sup__top_0) ).

fof(c_0_309,axiom,
    ! [X1,X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X5),X5) = c_Orderings_Otop__class_Otop(X5) ),
    file('<stdin>',cls_sup__compl__top_0) ).

fof(c_0_310,axiom,
    ! [X1,X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X5),X1,X5) = c_Orderings_Obot__class_Obot(X5) ),
    file('<stdin>',cls_compl__inf__bot_0) ).

fof(c_0_311,axiom,
    ! [X1,X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X5),X5) = c_Orderings_Obot__class_Obot(X5) ),
    file('<stdin>',cls_inf__compl__bot_0) ).

fof(c_0_312,axiom,
    ! [X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(X11,c_HOL_Oabs__class_Oabs(X11,X5),X5) ),
    file('<stdin>',cls_abs__ge__self_0) ).

fof(c_0_313,axiom,
    ! [X1,X5] :
      ( ~ class_Lattices_Obounded__lattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X5),X1,X5) = c_Orderings_Obot__class_Obot(X5) ),
    file('<stdin>',cls_inf__bot__left_0) ).

fof(c_0_314,axiom,
    ! [X1,X5] :
      ( ~ class_Lattices_Obounded__lattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(X5),X5) = c_Orderings_Obot__class_Obot(X5) ),
    file('<stdin>',cls_inf__bot__right_0) ).

fof(c_0_315,axiom,
    ! [X1,X5] :
      ( ~ class_Lattices_Obounded__lattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X5),X1,X5) = c_Orderings_Otop__class_Otop(X5) ),
    file('<stdin>',cls_sup__top__left_0) ).

fof(c_0_316,axiom,
    ! [X1,X5] :
      ( ~ class_Lattices_Obounded__lattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(X5),X5) = c_Orderings_Otop__class_Otop(X5) ),
    file('<stdin>',cls_sup__top__right_0) ).

fof(c_0_317,axiom,
    ! [X1,X5] :
      ( ~ class_Lattices_Obounded__lattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X5),X1,X5) = X1 ),
    file('<stdin>',cls_sup__bot__left_0) ).

fof(c_0_318,axiom,
    ! [X1,X5] :
      ( ~ class_Lattices_Obounded__lattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X5),X5) = X1 ),
    file('<stdin>',cls_sup__bot__right_0) ).

fof(c_0_319,axiom,
    ! [X1,X5] :
      ( ~ class_Lattices_Obounded__lattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X5),X1,X5) = X1 ),
    file('<stdin>',cls_inf__top__left_0) ).

fof(c_0_320,axiom,
    ! [X1,X5] :
      ( ~ class_Lattices_Obounded__lattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Otop__class_Otop(X5),X5) = X1 ),
    file('<stdin>',cls_inf__top__right_0) ).

fof(c_0_321,axiom,
    ! [X1,X5] :
      ( ~ class_Orderings_Otop(X5)
      | c_lessequals(X1,c_Orderings_Otop__class_Otop(X5),X5) ),
    file('<stdin>',cls_top__greatest_0) ).

fof(c_0_322,axiom,
    ! [X1,X5] :
      ( ~ class_Orderings_Obot(X5)
      | c_lessequals(c_Orderings_Obot__class_Obot(X5),X1,X5) ),
    file('<stdin>',cls_bot__least_0) ).

fof(c_0_323,axiom,
    ! [X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X5) = X1 ),
    file('<stdin>',cls_sup__idem_0) ).

fof(c_0_324,axiom,
    ! [X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omin(X1,X1,X5) = X1 ),
    file('<stdin>',cls_min__max_Oinf__idem_0) ).

fof(c_0_325,axiom,
    ! [X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omax(X1,X1,X5) = X1 ),
    file('<stdin>',cls_min__max_Osup__idem_0) ).

fof(c_0_326,axiom,
    ! [X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X5) = X1 ),
    file('<stdin>',cls_inf__idem_0) ).

fof(c_0_327,axiom,
    ! [X1,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | c_lessequals(X1,X1,X5) ),
    file('<stdin>',cls_order__eq__iff_0) ).

fof(c_0_328,axiom,
    ! [X1,X5] :
      ( ~ class_Orderings_Opreorder(X5)
      | c_lessequals(X1,X1,X5) ),
    file('<stdin>',cls_order__eq__refl_0) ).

fof(c_0_329,axiom,
    ! [X1,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X5),X5) = c_RealVector_Onorm__class_Onorm(X1,X5) ),
    file('<stdin>',cls_norm__minus__cancel_0) ).

fof(c_0_330,axiom,
    ! [X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X11,X5),X5) = c_HOL_Oabs__class_Oabs(X11,X5) ),
    file('<stdin>',cls_abs__minus__cancel_0) ).

fof(c_0_331,axiom,
    ! [X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X11,X5),X5) = c_HOL_Oabs__class_Oabs(X11,X5) ),
    file('<stdin>',cls_abs__idempotent_0) ).

fof(c_0_332,axiom,
    ! [X11,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X11,X5),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X11,X5) ),
    file('<stdin>',cls_abs__norm__cancel_0) ).

fof(c_0_333,axiom,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ouminus__class_Ouminus(X11,X5) != c_HOL_Ouminus__class_Ouminus(X10,X5)
      | X11 = X10 ),
    file('<stdin>',cls_neg__equal__iff__equal_0) ).

fof(c_0_334,axiom,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_HOL_Ouminus__class_Ouminus(X1,X5) != c_HOL_Ouminus__class_Ouminus(X4,X5)
      | X1 = X4 ),
    file('<stdin>',cls_compl__eq__compl__iff_0) ).

fof(c_0_335,axiom,
    ! [X10,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X10,X5),X5) = X10 ),
    file('<stdin>',cls_minus__equation__iff_1) ).

fof(c_0_336,axiom,
    ! [X11,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | X11 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X11,X5),X5) ),
    file('<stdin>',cls_equation__minus__iff_1) ).

fof(c_0_337,axiom,
    ! [X10,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | X10 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    file('<stdin>',cls_equation__minus__iff_0) ).

fof(c_0_338,axiom,
    ! [X1,X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X5),X5) = X1 ),
    file('<stdin>',cls_double__compl_0) ).

fof(c_0_339,axiom,
    ! [X11,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X11,X5),X5) = X11 ),
    file('<stdin>',cls_minus__minus_0) ).

fof(c_0_340,axiom,
    ! [X4,X1] :
      ( c_Transcendental_Oexp(X1,tc_RealDef_Oreal) != c_Transcendental_Oexp(X4,tc_RealDef_Oreal)
      | X1 = X4 ),
    file('<stdin>',cls_exp__inj__iff_0) ).

fof(c_0_341,axiom,
    ! [X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X5),X5) = c_Orderings_Otop__class_Otop(X5) ),
    file('<stdin>',cls_compl__bot__eq_0) ).

fof(c_0_342,axiom,
    ! [X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X5),X5) = c_Orderings_Obot__class_Obot(X5) ),
    file('<stdin>',cls_compl__top__eq_0) ).

fof(c_0_343,axiom,
    ! [X4,X1] :
      ( c_NthRoot_Osqrt(X1) != c_NthRoot_Osqrt(X4)
      | X1 = X4 ),
    file('<stdin>',cls_real__sqrt__eq__iff_0) ).

fof(c_0_344,plain,
    ! [X15,X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X11,X10,X5),c_HOL_Oplus__class_Oplus(X12,X15,X5),X5),X5),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X11,X12,X5),X5),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X10,X15,X5),X5),X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_345,plain,
    ! [X15,X12,X10,X11,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X11,X10,X5),c_HOL_Oplus__class_Oplus(X12,X15,X5),X5),X5),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X11,X12,X5),X5),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X10,X15,X5),X5),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_346,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X5),X5),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X5),X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_347,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X4,X5),c_Orderings_Oord__class_Omin(X1,X2,X5),X5),c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X4,X2,X5),X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_348,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X5),X5),c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X5),X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_349,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X4,X2,X5),X5),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X4,X5),c_Orderings_Oord__class_Omax(X1,X2,X5),X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_350,plain,
    ! [X1,X9,X11,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X11,X5),X5),X9,X5)
      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X11,X9,X5),X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X11,X9,X5),X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_351,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X11,X5),c_HOL_Oabs__class_Oabs(X10,X5),X5),X5),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X11,X10,X5),X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_352,plain,
    ! [X4,X1,X20,X9,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X5),X5),c_HOL_Oplus__class_Oplus(X9,X20,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X5),X20,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X5),X9,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_353,plain,
    ! [X1,X9,X11,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X11,X9,X5),X1,X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X11,X5),X5),X9,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_354,plain,
    ! [X1,X9,X11,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X11,X9,X5),X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X11,X5),X5),X9,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_355,plain,
    ! [X15,X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X15,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X11,X10,X5),c_HOL_Ominus__class_Ominus(X12,X15,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_356,plain,
    ! [X15,X12,X10,X11,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X11,X10,X5),c_HOL_Oplus__class_Oplus(X12,X15,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X15,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_357,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X11,X10,X5),X5),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X11,X5),c_HOL_Oabs__class_Oabs(X10,X5),X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_358,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X11,X5),c_HOL_Oabs__class_Oabs(X10,X5),X5),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X11,X10,X5),X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_359,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X11,X10,X5),X5),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X11,X5),c_HOL_Oabs__class_Oabs(X10,X5),X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_360,plain,
    ! [X15,X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_lessequals(X11,c_HOL_Oplus__class_Oplus(X10,X15,X5),X5)
      | ~ c_lessequals(X12,X15,X5)
      | ~ c_lessequals(X11,c_HOL_Oplus__class_Oplus(X10,X12,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_361,plain,
    ! [X4,X1,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X5),X5),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X5),c_RealVector_Onorm__class_Onorm(X4,X5),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_362,plain,
    ! [X10,X11,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X11,X10,X5),X5),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X11,X5),c_RealVector_Onorm__class_Onorm(X10,X5),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_363,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
      | c_HOL_Oord__class_Oless(X11,X10,X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X12,X11,X5),c_HOL_Oplus__class_Oplus(X12,X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_364,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
      | c_HOL_Oord__class_Oless(X11,X10,X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X12,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_365,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
      | c_lessequals(X11,X10,X5)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X12,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_366,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
      | c_lessequals(X11,X10,X5)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X12,X11,X5),c_HOL_Oplus__class_Oplus(X12,X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_367,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X5)
      | c_lessequals(X11,c_HOL_Oplus__class_Oplus(X12,c_HOL_Oabs__class_Oabs(X10,X5),X5),X5)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X11,X10,X5),X12,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_368,plain,
    ! [X15,X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X15,X5),X5)
      | ~ c_lessequals(X12,X15,X5)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_369,plain,
    ! [X15,X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X15,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X12,X15,X5)
      | ~ c_lessequals(X11,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_370,plain,
    ! [X15,X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X5)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X15,X5),X5)
      | ~ c_lessequals(X12,X15,X5)
      | ~ c_lessequals(X11,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_371,plain,
    ! [X15,X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X15,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X12,X15,X5)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_372,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X5),X12,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X12,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_373,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(X11,c_Lattices_Oupper__semilattice__class_Osup(X10,X12,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X11,X10,X5),c_HOL_Oplus__class_Oplus(X11,X12,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_374,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__join(X5)
      | c_HOL_Oplus__class_Oplus(X11,c_Lattices_Oupper__semilattice__class_Osup(X10,X12,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X11,X10,X5),c_HOL_Oplus__class_Oplus(X11,X12,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_375,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__join(X5)
      | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X5),X12,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X12,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_376,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Odistrib__lattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_377,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Odistrib__lattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X5),X1,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X5),c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_378,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X4,X2,X5),X5) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X4,X5),c_Orderings_Oord__class_Omin(X1,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_379,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X4,X2,X5),X1,X5) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X4,X1,X5),c_Orderings_Oord__class_Omin(X2,X1,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_380,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Odistrib__lattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_381,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Odistrib__lattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X5),X1,X5) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,X5),c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_382,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X4,X2,X5),X5) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X4,X5),c_Orderings_Oord__class_Omax(X1,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_383,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X4,X2,X5),X1,X5) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X4,X1,X5),c_Orderings_Oord__class_Omax(X2,X1,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_384,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
      | c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(X1,X4,X5),X2,X5) = c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(X1,X2,X5),c_HOL_Oplus__class_Oplus(X4,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_385,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
      | c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(X1,X4,X5),X2,X5) = c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(X1,X2,X5),c_HOL_Oplus__class_Oplus(X4,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_386,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X5),X12,X5) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X12,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_387,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(X11,c_Lattices_Olower__semilattice__class_Oinf(X10,X12,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X11,X10,X5),c_HOL_Oplus__class_Oplus(X11,X12,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_388,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X5)
      | c_HOL_Oplus__class_Oplus(X11,c_Lattices_Olower__semilattice__class_Oinf(X10,X12,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X11,X10,X5),c_HOL_Oplus__class_Oplus(X11,X12,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_389,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X5)
      | c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X5),X12,X5) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X12,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_390,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X1,X4,X5),X2,X5) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X1,X2,X5),c_HOL_Ominus__class_Ominus(X4,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_391,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X1,X4,X5),X2,X5) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X1,X2,X5),c_HOL_Ominus__class_Ominus(X4,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_392,plain,
    ! [X2,X4,X1,X18,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X5),X5) != c_HOL_Oplus__class_Oplus(X4,X18,X5)
      | c_HOL_Oplus__class_Oplus(X1,X2,X5) = X18 ),
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_393,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X4,X2,X5)
      | c_lessequals(X1,X2,X5)
      | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X5),X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_394,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X2,X4,X5)
      | c_lessequals(X2,X1,X5)
      | ~ c_lessequals(X2,c_Orderings_Oord__class_Omax(X1,X4,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_395,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X2,X4,X5)
      | c_HOL_Oord__class_Oless(X2,X1,X5)
      | ~ c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X1,X4,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_396,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X4,X2,X5)
      | c_HOL_Oord__class_Oless(X1,X2,X5)
      | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X4,X5),X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_397,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X12,X11,X5),c_HOL_Oplus__class_Oplus(X12,X10,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_398,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X12,X11,X5),c_HOL_Oplus__class_Oplus(X12,X10,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_399,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X12,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_400,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X12,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_401,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X12,X5),X5)
      | ~ c_lessequals(X11,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_402,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X12,X11,X5),c_HOL_Oplus__class_Oplus(X12,X10,X5),X5)
      | ~ c_lessequals(X11,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_403,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X5)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X11,X12,X5),c_HOL_Oplus__class_Oplus(X10,X12,X5),X5)
      | ~ c_lessequals(X11,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_404,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X5)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X12,X11,X5),c_HOL_Oplus__class_Oplus(X12,X10,X5),X5)
      | ~ c_lessequals(X11,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_405,plain,
    ! [X2,X4,X1] :
      ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X1,X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_406,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omin(X1,X4,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X2,X4,X5)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_407,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X4,X5),X2,X5)
      | ~ c_HOL_Oord__class_Oless(X4,X2,X5)
      | ~ c_HOL_Oord__class_Oless(X1,X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_408,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),X2,X5)
      | ~ c_lessequals(X4,X2,X5)
      | ~ c_lessequals(X1,X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_409,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X5),X1,X5)
      | ~ c_lessequals(X2,X1,X5)
      | ~ c_lessequals(X4,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_410,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X5),X1,X5)
      | ~ c_lessequals(X10,X1,X5)
      | ~ c_lessequals(X11,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_411,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X5),X5)
      | ~ c_lessequals(X1,X2,X5)
      | ~ c_lessequals(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_412,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X5),X5)
      | ~ c_lessequals(X1,X2,X5)
      | ~ c_lessequals(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_413,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X5),X5)
      | ~ c_lessequals(X1,X10,X5)
      | ~ c_lessequals(X1,X11,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_414,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X5),X2,X5)
      | ~ c_lessequals(X4,X2,X5)
      | ~ c_lessequals(X1,X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_415,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(c_Orderings_Oord__class_Omax(X4,X2,X5),X1,X5)
      | ~ c_lessequals(X2,X1,X5)
      | ~ c_lessequals(X4,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_416,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(c_Orderings_Oord__class_Omax(X11,X10,X5),X1,X5)
      | ~ c_lessequals(X10,X1,X5)
      | ~ c_lessequals(X11,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_417,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X1,c_Orderings_Oord__class_Omin(X4,X2,X5),X5)
      | ~ c_lessequals(X1,X2,X5)
      | ~ c_lessequals(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_418,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X1,c_Orderings_Oord__class_Omin(X4,X2,X5),X5)
      | ~ c_lessequals(X1,X2,X5)
      | ~ c_lessequals(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_419,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X1,c_Orderings_Oord__class_Omin(X11,X10,X5),X5)
      | ~ c_lessequals(X1,X10,X5)
      | ~ c_lessequals(X1,X11,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_420,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X11,X5),c_HOL_Oabs__class_Oabs(X10,X5),X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X11,X5),c_HOL_Oabs__class_Oabs(X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_421,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(X11,X10,X5) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X5),c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_422,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5),X2,X5) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_423,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(X4,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_424,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5),X2,X5) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_425,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(X4,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_426,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X5)
      | c_HOL_Oplus__class_Oplus(X11,c_HOL_Oplus__class_Oplus(X10,X12,X5),X5) = c_HOL_Oplus__class_Oplus(X10,c_HOL_Oplus__class_Oplus(X11,X12,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_427,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X11,X10,X5),X12,X5) = c_HOL_Oplus__class_Oplus(X11,c_HOL_Oplus__class_Oplus(X10,X12,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_428,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X5),X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_429,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X5),X5) = c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(X1,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_430,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X11,X10,X5),X12,X5) = c_HOL_Oplus__class_Oplus(X11,c_HOL_Oplus__class_Oplus(X10,X12,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_431,plain,
    ! [X15,X12,X11,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X11,c_HOL_Oplus__class_Oplus(X12,X15,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X11,X12,X5),X15,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_432,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X11,X10,X5),X12,X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X11,X12,X5),X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_433,plain,
    ! [X15,X12,X11,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X11,c_HOL_Oplus__class_Oplus(X12,X15,X5),X5) = c_HOL_Oplus__class_Oplus(X12,c_HOL_Oplus__class_Oplus(X11,X15,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_434,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X11,X10,X5),X12,X5) = c_HOL_Oplus__class_Oplus(X11,c_HOL_Oplus__class_Oplus(X10,X12,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_435,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(X4,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_436,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),X2,X5) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_437,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(X4,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_438,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),X2,X5) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_439,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X4,X2,X5),X5) = c_Orderings_Oord__class_Omax(X4,c_Orderings_Oord__class_Omax(X1,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_440,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X1,X4,X5),X2,X5) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X4,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_441,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X1,X4,X5),X2,X5) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X4,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_442,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X4,X2,X5),X5) = c_Orderings_Oord__class_Omin(X4,c_Orderings_Oord__class_Omin(X1,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_443,plain,
    ! [X13,X4,X14,X1,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X1,X4,X5) != c_HOL_Ominus__class_Ominus(X14,X13,X5)
      | c_HOL_Oord__class_Oless(X1,X4,X5)
      | ~ c_HOL_Oord__class_Oless(X14,X13,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_444,plain,
    ! [X13,X4,X14,X1,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X1,X4,X5) != c_HOL_Ominus__class_Ominus(X14,X13,X5)
      | c_HOL_Oord__class_Oless(X14,X13,X5)
      | ~ c_HOL_Oord__class_Oless(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_445,plain,
    ! [X13,X4,X14,X1,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X1,X4,X5) != c_HOL_Ominus__class_Ominus(X14,X13,X5)
      | c_lessequals(X13,X14,X5)
      | ~ c_lessequals(X4,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_446,plain,
    ! [X13,X4,X14,X1,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X1,X4,X5) != c_HOL_Ominus__class_Ominus(X14,X13,X5)
      | c_lessequals(X4,X1,X5)
      | ~ c_lessequals(X13,X14,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_447,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X4,X2,X5)
      | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X4,X5),X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_448,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X1,X2,X5)
      | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X4,X5),X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_449,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X2,X4,X5)
      | ~ c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omin(X1,X4,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_450,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X2,X1,X5)
      | ~ c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omin(X1,X4,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_451,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X4,X2,X5)
      | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X5),X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_452,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X1,X2,X5)
      | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X5),X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_453,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X10,X1,X5)
      | ~ c_lessequals(c_Orderings_Oord__class_Omax(X11,X10,X5),X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_454,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X11,X1,X5)
      | ~ c_lessequals(c_Orderings_Oord__class_Omax(X11,X10,X5),X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_455,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X1,X2,X5)
      | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X4,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_456,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X1,X4,X5)
      | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X4,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_457,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X1,X10,X5)
      | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X11,X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_458,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X1,X11,X5)
      | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X11,X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_459,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_lessequals(X1,X2,X5)
      | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_460,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_lessequals(X1,X4,X5)
      | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_461,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_lessequals(X1,X10,X5)
      | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_462,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_lessequals(X1,X11,X5)
      | ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_463,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_lessequals(X4,X2,X5)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_464,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_lessequals(X1,X2,X5)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_465,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_lessequals(X10,X1,X5)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X5),X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_466,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_lessequals(X11,X1,X5)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X5),X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_467,plain,
    ! [X10,X11,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X11,X5),X10,X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X11,X5),X10,X5)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_468,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(c_HOL_Oabs__class_Oabs(X11,X5),X10,X5)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,X5),X10,X5)
      | ~ c_lessequals(X11,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_469,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(c_HOL_Oabs__class_Oabs(X11,X5),X10,X5)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,X5),X10,X5)
      | ~ c_lessequals(X11,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_125]) ).

fof(c_0_470,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X5) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X11,X5),c_HOL_Ouminus__class_Ouminus(X10,X5),X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_126]) ).

fof(c_0_471,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X5) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X11,X5),c_HOL_Ouminus__class_Ouminus(X10,X5),X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_127]) ).

fof(c_0_472,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X5),X5) != X4
      | X1 = c_HOL_Ouminus__class_Ouminus(X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_473,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X1,X4,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X2,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_129]) ).

fof(c_0_474,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X1,X4,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X2,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_130]) ).

fof(c_0_475,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X11,X10,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X1,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_476,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X11,X10,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X1,X11,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_132]) ).

fof(c_0_477,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X4,X5),X2,X5)
      | ~ c_HOL_Oord__class_Oless(X4,X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_478,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X4,X5),X2,X5)
      | ~ c_HOL_Oord__class_Oless(X1,X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_134]) ).

fof(c_0_479,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X11,X10,X5),X1,X5)
      | ~ c_HOL_Oord__class_Oless(X10,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_480,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X11,X10,X5),X1,X5)
      | ~ c_HOL_Oord__class_Oless(X11,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_136]) ).

fof(c_0_481,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X2,c_Orderings_Oord__class_Omax(X1,X4,X5),X5)
      | ~ c_lessequals(X2,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_137]) ).

fof(c_0_482,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X2,c_Orderings_Oord__class_Omax(X1,X4,X5),X5)
      | ~ c_lessequals(X2,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_483,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X1,c_Orderings_Oord__class_Omax(X11,X10,X5),X5)
      | ~ c_lessequals(X1,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_139]) ).

fof(c_0_484,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X1,c_Orderings_Oord__class_Omax(X11,X10,X5),X5)
      | ~ c_lessequals(X1,X11,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_140]) ).

fof(c_0_485,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X5),X2,X5)
      | ~ c_lessequals(X4,X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_141]) ).

fof(c_0_486,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X5),X2,X5)
      | ~ c_lessequals(X1,X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_142]) ).

fof(c_0_487,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(c_Orderings_Oord__class_Omin(X11,X10,X5),X1,X5)
      | ~ c_lessequals(X10,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_143]) ).

fof(c_0_488,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(c_Orderings_Oord__class_Omin(X11,X10,X5),X1,X5)
      | ~ c_lessequals(X11,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_144]) ).

fof(c_0_489,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X5),X1,X5)
      | ~ c_HOL_Oord__class_Oless(X11,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_145]) ).

fof(c_0_490,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X5),X1,X5)
      | ~ c_HOL_Oord__class_Oless(X10,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_146]) ).

fof(c_0_491,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X1,X11,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_147]) ).

fof(c_0_492,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_HOL_Oord__class_Oless(X1,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X1,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_148]) ).

fof(c_0_493,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X5),X1,X5)
      | ~ c_lessequals(X10,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_149]) ).

fof(c_0_494,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X5),X1,X5)
      | ~ c_lessequals(X11,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_150]) ).

fof(c_0_495,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X5),X5)
      | ~ c_lessequals(X1,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_151]) ).

fof(c_0_496,plain,
    ! [X1,X10,X11,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X5),X5)
      | ~ c_lessequals(X1,X11,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_152]) ).

fof(c_0_497,plain,
    ! [X10,X11,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X11,X10,X5),X5) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X10,X11,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_153]) ).

fof(c_0_498,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X11,X10,X5),X5) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X10,X11,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_154]) ).

fof(c_0_499,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Opreorder(X5)
      | c_HOL_Oord__class_Oless(X1,X2,X5)
      | ~ c_HOL_Oord__class_Oless(X4,X2,X5)
      | ~ c_HOL_Oord__class_Oless(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_155]) ).

fof(c_0_500,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | c_HOL_Oord__class_Oless(X2,X1,X5)
      | ~ c_HOL_Oord__class_Oless(X2,X4,X5)
      | ~ c_HOL_Oord__class_Oless(X4,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_156]) ).

fof(c_0_501,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | c_HOL_Oord__class_Oless(X2,X1,X5)
      | ~ c_lessequals(X2,X4,X5)
      | ~ c_HOL_Oord__class_Oless(X4,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_157]) ).

fof(c_0_502,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | c_HOL_Oord__class_Oless(X2,X1,X5)
      | ~ c_HOL_Oord__class_Oless(X2,X4,X5)
      | ~ c_lessequals(X4,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_158]) ).

fof(c_0_503,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Opreorder(X5)
      | c_HOL_Oord__class_Oless(X1,X2,X5)
      | ~ c_lessequals(X4,X2,X5)
      | ~ c_HOL_Oord__class_Oless(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_159]) ).

fof(c_0_504,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Opreorder(X5)
      | c_HOL_Oord__class_Oless(X1,X2,X5)
      | ~ c_HOL_Oord__class_Oless(X4,X2,X5)
      | ~ c_lessequals(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_160]) ).

fof(c_0_505,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | c_lessequals(X2,X1,X5)
      | ~ c_lessequals(X2,X4,X5)
      | ~ c_lessequals(X4,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_161]) ).

fof(c_0_506,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Orderings_Opreorder(X5)
      | c_lessequals(X1,X2,X5)
      | ~ c_lessequals(X4,X2,X5)
      | ~ c_lessequals(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_162]) ).

fof(c_0_507,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X11,X10,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X11,X5),c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_163]) ).

fof(c_0_508,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X5),c_HOL_Ouminus__class_Ouminus(X4,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_164]) ).

fof(c_0_509,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X5),c_HOL_Ouminus__class_Ouminus(X4,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_165]) ).

fof(c_0_510,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X11,X10,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X11,X5),c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_166]) ).

fof(c_0_511,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X11,X5),c_HOL_Ouminus__class_Ouminus(X10,X5),X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X11,X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_167]) ).

fof(c_0_512,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X11,X10,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X10,X5),c_HOL_Ouminus__class_Ouminus(X11,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_168]) ).

fof(c_0_513,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X11,X10,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X11,X5),c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_169]) ).

fof(c_0_514,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Oord__class_Oless(X11,X10,X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X10,X5),c_HOL_Ouminus__class_Ouminus(X11,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_170]) ).

fof(c_0_515,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_lessequals(X11,X10,X5)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X5),c_HOL_Ouminus__class_Ouminus(X11,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_171]) ).

fof(c_0_516,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X4,X5),X5) = c_Orderings_Oord__class_Omin(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_172]) ).

fof(c_0_517,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_173]) ).

fof(c_0_518,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),X5) = c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_174]) ).

fof(c_0_519,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X4,X5),X5) = c_Orderings_Oord__class_Omax(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_175]) ).

fof(c_0_520,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_176]) ).

fof(c_0_521,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5),X5) = c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_177]) ).

fof(c_0_522,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Oplus__class_Oplus(X11,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X11,X5),X10,X5),X5) = X10 ),
    inference(fof_simplification,[status(thm)],[c_0_178]) ).

fof(c_0_523,plain,
    ! [X6,X7,X8] :
      ( c_lessequals(X8,X6,tc_RealDef_Oreal)
      | ~ c_lessequals(X7,X6,tc_RealDef_Oreal)
      | ~ c_lessequals(X8,X7,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_179]) ).

fof(c_0_524,plain,
    ! [X10,X11,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X11,X5),X10,X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X11,X5),X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_180]) ).

fof(c_0_525,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X11,X5),X10,X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X10,X5),X11,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_181]) ).

fof(c_0_526,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X10,X5),X11,X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X11,X5),X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_182]) ).

fof(c_0_527,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Oord__class_Oless(X11,c_HOL_Ouminus__class_Ouminus(X10,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ouminus__class_Ouminus(X11,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_183]) ).

fof(c_0_528,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Oord__class_Oless(X10,c_HOL_Ouminus__class_Ouminus(X11,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_184]) ).

fof(c_0_529,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,X5),X10,X5)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X11,X5),X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_185]) ).

fof(c_0_530,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,X5),X10,X5)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X5),X11,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_186]) ).

fof(c_0_531,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X5),X11,X5)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,X5),X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_187]) ).

fof(c_0_532,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_lessequals(X11,c_HOL_Ouminus__class_Ouminus(X10,X5),X5)
      | ~ c_lessequals(X10,c_HOL_Ouminus__class_Ouminus(X11,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_188]) ).

fof(c_0_533,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_lessequals(X10,c_HOL_Ouminus__class_Ouminus(X11,X5),X5)
      | ~ c_lessequals(X11,c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_189]) ).

fof(c_0_534,plain,
    ! [X4,X1] :
      ( c_HOL_Oord__class_Oless(X1,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_190]) ).

fof(c_0_535,plain,
    ! [X4,X1] :
      ( c_lessequals(X1,X4,tc_RealDef_Oreal)
      | ~ c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_191]) ).

fof(c_0_536,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5) != c_Orderings_Otop__class_Otop(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5) != c_Orderings_Obot__class_Obot(X5)
      | c_HOL_Ouminus__class_Ouminus(X1,X5) = X4 ),
    inference(fof_simplification,[status(thm)],[c_0_192]) ).

fof(c_0_537,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Opreorder(X5)
      | c_HOL_Oord__class_Oless(X1,X4,X5)
      | c_lessequals(X4,X1,X5)
      | ~ c_lessequals(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_193]) ).

fof(c_0_538,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X10,X5),c_HOL_Ouminus__class_Ouminus(X11,X5),X5)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_194]) ).

fof(c_0_539,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X5)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X5),c_HOL_Ouminus__class_Ouminus(X11,X5),X5)
      | ~ c_lessequals(X11,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_195]) ).

fof(c_0_540,plain,
    ! [X2,X4,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X5),c_HOL_Oplus__class_Oplus(X4,X2,X5),X5) = X4 ),
    inference(fof_simplification,[status(thm)],[c_0_196]) ).

fof(c_0_541,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X11,X5),c_HOL_Oplus__class_Oplus(X11,X10,X5),X5) = X10 ),
    inference(fof_simplification,[status(thm)],[c_0_197]) ).

fof(c_0_542,plain,
    ! [X10,X11,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oord__class_Oless(X11,X10,X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X11,X5),X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_198]) ).

fof(c_0_543,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(X11,X10,X5)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X11,X5),X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_199]) ).

fof(c_0_544,plain,
    ! [X2,X4,X1,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | ~ class_Int_Onumber__ring(X5)
      | c_HOL_Oplus__class_Oplus(X1,X4,X5) != c_HOL_Oplus__class_Oplus(X1,X2,X5)
      | X4 = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_200]) ).

fof(c_0_545,plain,
    ! [X4,X1] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X1,X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_201]) ).

fof(c_0_546,plain,
    ! [X4,X1] :
      ( c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X1,X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_202]) ).

fof(c_0_547,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X11,X10,X5),X5) = c_HOL_Ominus__class_Ominus(X10,X11,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_203]) ).

fof(c_0_548,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | X1 = X4
      | ~ c_lessequals(X1,X4,X5)
      | ~ c_lessequals(X4,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_204]) ).

fof(c_0_549,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | X1 = X4
      | ~ c_lessequals(X4,X1,X5)
      | ~ c_lessequals(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_205]) ).

fof(c_0_550,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | X1 = X4
      | ~ c_lessequals(X4,X1,X5)
      | ~ c_lessequals(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_206]) ).

fof(c_0_551,plain,
    ! [X13,X14,X1,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X1,X1,X5) != c_HOL_Ominus__class_Ominus(X14,X13,X5)
      | X14 = X13 ),
    inference(fof_simplification,[status(thm)],[c_0_207]) ).

fof(c_0_552,plain,
    ! [X4,X19,X1,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X19,X4,X5) != c_HOL_Ominus__class_Ominus(X1,X1,X5)
      | X19 = X4 ),
    inference(fof_simplification,[status(thm)],[c_0_208]) ).

fof(c_0_553,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X5)
      | c_HOL_Oplus__class_Oplus(X11,X10,X5) != c_HOL_Oplus__class_Oplus(X11,X12,X5)
      | X10 = X12 ),
    inference(fof_simplification,[status(thm)],[c_0_209]) ).

fof(c_0_554,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X5)
      | c_HOL_Oplus__class_Oplus(X11,X10,X5) != c_HOL_Oplus__class_Oplus(X11,X12,X5)
      | X10 = X12 ),
    inference(fof_simplification,[status(thm)],[c_0_210]) ).

fof(c_0_555,plain,
    ! [X12,X10,X11,X5] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X5)
      | c_HOL_Oplus__class_Oplus(X10,X11,X5) != c_HOL_Oplus__class_Oplus(X12,X11,X5)
      | X10 = X12 ),
    inference(fof_simplification,[status(thm)],[c_0_211]) ).

fof(c_0_556,plain,
    ! [X10,X11,X5] :
      ( ~ class_Orderings_Opreorder(X5)
      | ~ c_HOL_Oord__class_Oless(X10,X11,X5)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_212]) ).

fof(c_0_557,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Opreorder(X5)
      | ~ c_HOL_Oord__class_Oless(X4,X1,X5)
      | ~ c_HOL_Oord__class_Oless(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_213]) ).

fof(c_0_558,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | ~ c_HOL_Oord__class_Oless(X1,X4,X5)
      | ~ c_HOL_Oord__class_Oless(X4,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_214]) ).

fof(c_0_559,plain,
    ! [X10,X11,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | ~ c_HOL_Oord__class_Oless(X11,X10,X5)
      | ~ c_HOL_Oord__class_Oless(X10,X11,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_215]) ).

fof(c_0_560,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Opreorder(X5)
      | ~ c_lessequals(X4,X1,X5)
      | ~ c_HOL_Oord__class_Oless(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_216]) ).

fof(c_0_561,plain,
    ! [X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | ~ c_lessequals(X1,X1,X5)
      | ~ c_HOL_Oord__class_Oless(X1,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_217]) ).

fof(c_0_562,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | ~ c_HOL_Oord__class_Oless(X1,X4,X5)
      | ~ c_lessequals(X4,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_218]) ).

fof(c_0_563,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | ~ c_lessequals(X1,X4,X5)
      | ~ c_HOL_Oord__class_Oless(X4,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_219]) ).

fof(c_0_564,plain,
    ! [X1,X9] :
      ( c_lessequals(X1,X9,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X9,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_220]) ).

fof(c_0_565,plain,
    ! [X2,X3] :
      ( X2 = X3
      | ~ c_lessequals(X3,X2,tc_RealDef_Oreal)
      | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_221]) ).

fof(c_0_566,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X11,X10,X5),X10,X5) = X11 ),
    inference(fof_simplification,[status(thm)],[c_0_222]) ).

fof(c_0_567,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),X5) = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_223]) ).

fof(c_0_568,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X4,X5),X5) = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_224]) ).

fof(c_0_569,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X11,X10,X5),X10,X5) = X11 ),
    inference(fof_simplification,[status(thm)],[c_0_225]) ).

fof(c_0_570,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X4,X5),X5) = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_226]) ).

fof(c_0_571,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5),X5) = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_227]) ).

fof(c_0_572,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_lessequals(X4,c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_228]) ).

fof(c_0_573,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_229]) ).

fof(c_0_574,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_lessequals(X4,c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_230]) ).

fof(c_0_575,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_231]) ).

fof(c_0_576,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5),X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_232]) ).

fof(c_0_577,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5),X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_233]) ).

fof(c_0_578,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5),X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_234]) ).

fof(c_0_579,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5),X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_235]) ).

fof(c_0_580,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X4,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_236]) ).

fof(c_0_581,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X4,c_Orderings_Oord__class_Omax(X1,X4,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_237]) ).

fof(c_0_582,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X5),X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_238]) ).

fof(c_0_583,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X5),X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_239]) ).

fof(c_0_584,plain,
    ! [X4,X1] :
      ( c_HOL_Oord__class_Oless(X1,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_240]) ).

fof(c_0_585,plain,
    ! [X4,X1] :
      ( c_lessequals(X1,X4,tc_RealDef_Oreal)
      | ~ c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_241]) ).

fof(c_0_586,plain,
    ! [X10,X11,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | c_HOL_Oord__class_Oless(X10,X11,X5)
      | X11 = X10
      | ~ c_lessequals(X10,X11,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_242]) ).

fof(c_0_587,plain,
    ! [X10,X11,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | c_HOL_Oord__class_Oless(X10,X11,X5)
      | ~ c_lessequals(X10,X11,X5)
      | X11 = X10 ),
    inference(fof_simplification,[status(thm)],[c_0_243]) ).

fof(c_0_588,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | X1 = X4
      | c_HOL_Oord__class_Oless(X1,X4,X5)
      | ~ c_lessequals(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_244]) ).

fof(c_0_589,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | X1 = X4
      | ~ c_lessequals(X1,X4,X5)
      | c_HOL_Oord__class_Oless(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_245]) ).

fof(c_0_590,plain,
    ! [X10,X11,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | c_HOL_Oord__class_Oless(X11,X10,X5)
      | ~ c_lessequals(X11,X10,X5)
      | X11 = X10 ),
    inference(fof_simplification,[status(thm)],[c_0_246]) ).

fof(c_0_591,plain,
    ! [X10,X11,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | c_HOL_Oord__class_Oless(X11,X10,X5)
      | X11 = X10
      | ~ c_lessequals(X11,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_247]) ).

fof(c_0_592,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | X1 = X4
      | c_HOL_Oord__class_Oless(X1,X4,X5)
      | ~ c_lessequals(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_248]) ).

fof(c_0_593,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | c_HOL_Oord__class_Oless(X1,X4,X5)
      | X1 = X4
      | ~ c_lessequals(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_249]) ).

fof(c_0_594,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5) != X4
      | c_lessequals(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_250]) ).

fof(c_0_595,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omax(X1,X4,X5) != X4
      | c_lessequals(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_251]) ).

fof(c_0_596,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omin(X1,X4,X5) != X1
      | c_lessequals(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_252]) ).

fof(c_0_597,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5) != X1
      | c_lessequals(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_253]) ).

fof(c_0_598,plain,
    ! [X4,X1] :
      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X1,X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_254]) ).

fof(c_0_599,plain,
    ! [X4,X1] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X4),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X1,X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_255]) ).

fof(c_0_600,plain,
    ! [X4,X1] :
      ( c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal)
      | ~ c_lessequals(X1,X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_256]) ).

fof(c_0_601,plain,
    ! [X4,X1] :
      ( c_lessequals(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X4),tc_RealDef_Oreal)
      | ~ c_lessequals(X1,X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_257]) ).

fof(c_0_602,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5) = X1
      | ~ c_lessequals(X4,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_258]) ).

fof(c_0_603,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5) = X4
      | ~ c_lessequals(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_259]) ).

fof(c_0_604,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omax(X1,X4,X5) = X1
      | ~ c_lessequals(X4,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_260]) ).

fof(c_0_605,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omax(X1,X4,X5) = X4
      | ~ c_lessequals(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_261]) ).

fof(c_0_606,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omin(X1,X4,X5) = X4
      | ~ c_lessequals(X4,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_262]) ).

fof(c_0_607,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omin(X1,X4,X5) = X1
      | ~ c_lessequals(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_263]) ).

fof(c_0_608,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5) = X4
      | ~ c_lessequals(X4,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_264]) ).

fof(c_0_609,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5) = X1
      | ~ c_lessequals(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_265]) ).

fof(c_0_610,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Opreorder(X5)
      | c_lessequals(X1,X4,X5)
      | ~ c_HOL_Oord__class_Oless(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_266]) ).

fof(c_0_611,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | c_lessequals(X1,X4,X5)
      | ~ c_HOL_Oord__class_Oless(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_267]) ).

fof(c_0_612,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_HOL_Ominus__class_Ominus(X1,X4,X5) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X4,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_268]) ).

fof(c_0_613,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ominus__class_Ominus(X11,c_HOL_Ouminus__class_Ouminus(X10,X5),X5) = c_HOL_Oplus__class_Oplus(X11,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_269]) ).

fof(c_0_614,plain,
    ! [X4,X1,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X1,X4,X5) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X4,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_270]) ).

fof(c_0_615,plain,
    ! [X4,X1,X5] :
      ( ~ class_Int_Onumber__ring(X5)
      | c_HOL_Ominus__class_Ominus(X1,X4,X5) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X4,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_271]) ).

fof(c_0_616,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ominus__class_Ominus(X11,X10,X5) = c_HOL_Oplus__class_Oplus(X11,c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_272]) ).

fof(c_0_617,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X11,X10,X5) = c_HOL_Oplus__class_Oplus(X11,c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_273]) ).

fof(c_0_618,plain,
    ! [X4,X1] :
      ( c_HOL_Oord__class_Oless(X1,X4,tc_RealDef_Oreal)
      | X1 = X4
      | ~ c_lessequals(X1,X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_274]) ).

fof(c_0_619,plain,
    ! [X4,X1] :
      ( c_lessequals(X1,X4,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X1,X4,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_275]) ).

fof(c_0_620,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X4,X1,X5)
      | c_HOL_Oord__class_Oless(X1,X4,X5)
      | X1 = X4 ),
    inference(fof_simplification,[status(thm)],[c_0_276]) ).

fof(c_0_621,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X4,X1,X5)
      | X1 = X4
      | c_HOL_Oord__class_Oless(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_277]) ).

fof(c_0_622,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | X1 = X4
      | c_HOL_Oord__class_Oless(X1,X4,X5)
      | c_HOL_Oord__class_Oless(X4,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_278]) ).

fof(c_0_623,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | X1 = X4
      | c_HOL_Oord__class_Oless(X4,X1,X5)
      | c_HOL_Oord__class_Oless(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_279]) ).

fof(c_0_624,plain,
    ! [X4,X1,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oord__class_Oless(X4,X1,X5)
      | c_HOL_Oord__class_Oless(X1,X4,X5)
      | X1 = X4 ),
    inference(fof_simplification,[status(thm)],[c_0_280]) ).

fof(c_0_625,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X1,X4,X5)
      | c_lessequals(X4,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_281]) ).

fof(c_0_626,plain,
    ! [X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X1,X1,X5)
      | c_lessequals(X1,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_282]) ).

fof(c_0_627,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X4,X1,X5)
      | c_HOL_Oord__class_Oless(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_283]) ).

fof(c_0_628,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_HOL_Oord__class_Oless(X4,X1,X5)
      | c_lessequals(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_284]) ).

fof(c_0_629,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_lessequals(X4,X1,X5)
      | c_lessequals(X1,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_285]) ).

fof(c_0_630,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5) = c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_286]) ).

fof(c_0_631,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X5) = c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_287]) ).

fof(c_0_632,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omin(X1,X4,X5) = c_Orderings_Oord__class_Omin(X4,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_288]) ).

fof(c_0_633,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(X4,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_289]) ).

fof(c_0_634,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Olattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(X4,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_290]) ).

fof(c_0_635,plain,
    ! [X4,X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omax(X1,X4,X5) = c_Orderings_Oord__class_Omax(X4,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_291]) ).

fof(c_0_636,plain,
    ! [X12,X11,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X11,X12,X5) = c_HOL_Oplus__class_Oplus(X12,X11,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_292]) ).

fof(c_0_637,plain,
    ! [X4,X1,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X1,X4,X5) = c_HOL_Oplus__class_Oplus(X4,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_293]) ).

fof(c_0_638,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X5)
      | c_HOL_Oplus__class_Oplus(X11,X10,X5) = c_HOL_Oplus__class_Oplus(X10,X11,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_294]) ).

fof(c_0_639,plain,
    ! [X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,X5),c_HOL_Oabs__class_Oabs(X11,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_295]) ).

fof(c_0_640,axiom,
    ! [X2,X3] :
      ( c_lessequals(X3,X2,tc_RealDef_Oreal)
      | c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    c_0_296 ).

fof(c_0_641,plain,
    ! [X16,X17,X5] :
      ( ~ class_Lattices_Obounded__lattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X17,X16,X5) != c_Orderings_Obot__class_Obot(X5)
      | X16 = c_Orderings_Obot__class_Obot(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_297]) ).

fof(c_0_642,plain,
    ! [X16,X17,X5] :
      ( ~ class_Lattices_Obounded__lattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X17,X16,X5) != c_Orderings_Obot__class_Obot(X5)
      | X17 = c_Orderings_Obot__class_Obot(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_298]) ).

fof(c_0_643,plain,
    ! [X16,X17,X5] :
      ( ~ class_Lattices_Obounded__lattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X17,X16,X5) != c_Orderings_Otop__class_Otop(X5)
      | X17 = c_Orderings_Otop__class_Otop(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_299]) ).

fof(c_0_644,plain,
    ! [X16,X17,X5] :
      ( ~ class_Lattices_Obounded__lattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X17,X16,X5) != c_Orderings_Otop__class_Otop(X5)
      | X16 = c_Orderings_Otop__class_Otop(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_300]) ).

fof(c_0_645,plain,
    ! [X11,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(X11,X5) = c_Lattices_Oupper__semilattice__class_Osup(X11,c_HOL_Ouminus__class_Ouminus(X11,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_301]) ).

fof(c_0_646,plain,
    ! [X1] :
      ( c_lessequals(X1,v_L____,tc_RealDef_Oreal)
      | ~ hBOOL(hAPP(v_P,X1)) ),
    inference(fof_simplification,[status(thm)],[c_0_302]) ).

fof(c_0_647,plain,
    ! [X1] :
      ( c_HOL_Oord__class_Oless(X1,v_Y____,tc_RealDef_Oreal)
      | ~ hBOOL(hAPP(v_P,X1)) ),
    inference(fof_simplification,[status(thm)],[c_0_303]) ).

fof(c_0_648,plain,
    ! [X1] :
      ( c_HOL_Oord__class_Oless(X1,v_Y____,tc_RealDef_Oreal)
      | ~ hBOOL(hAPP(v_P,X1)) ),
    inference(fof_simplification,[status(thm)],[c_0_304]) ).

fof(c_0_649,plain,
    ! [X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | ~ c_HOL_Oord__class_Oless(X1,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_305]) ).

fof(c_0_650,plain,
    ! [X1,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | ~ c_HOL_Oord__class_Oless(X1,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_306]) ).

fof(c_0_651,plain,
    ! [X1,X5] :
      ( ~ class_Orderings_Opreorder(X5)
      | ~ c_HOL_Oord__class_Oless(X1,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_307]) ).

fof(c_0_652,plain,
    ! [X1,X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X5),X1,X5) = c_Orderings_Otop__class_Otop(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_308]) ).

fof(c_0_653,plain,
    ! [X1,X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X5),X5) = c_Orderings_Otop__class_Otop(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_309]) ).

fof(c_0_654,plain,
    ! [X1,X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X5),X1,X5) = c_Orderings_Obot__class_Obot(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_310]) ).

fof(c_0_655,plain,
    ! [X1,X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X5),X5) = c_Orderings_Obot__class_Obot(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_311]) ).

fof(c_0_656,plain,
    ! [X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(X11,c_HOL_Oabs__class_Oabs(X11,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_312]) ).

fof(c_0_657,plain,
    ! [X1,X5] :
      ( ~ class_Lattices_Obounded__lattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X5),X1,X5) = c_Orderings_Obot__class_Obot(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_313]) ).

fof(c_0_658,plain,
    ! [X1,X5] :
      ( ~ class_Lattices_Obounded__lattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(X5),X5) = c_Orderings_Obot__class_Obot(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_314]) ).

fof(c_0_659,plain,
    ! [X1,X5] :
      ( ~ class_Lattices_Obounded__lattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X5),X1,X5) = c_Orderings_Otop__class_Otop(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_315]) ).

fof(c_0_660,plain,
    ! [X1,X5] :
      ( ~ class_Lattices_Obounded__lattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(X5),X5) = c_Orderings_Otop__class_Otop(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_316]) ).

fof(c_0_661,plain,
    ! [X1,X5] :
      ( ~ class_Lattices_Obounded__lattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X5),X1,X5) = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_317]) ).

fof(c_0_662,plain,
    ! [X1,X5] :
      ( ~ class_Lattices_Obounded__lattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X5),X5) = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_318]) ).

fof(c_0_663,plain,
    ! [X1,X5] :
      ( ~ class_Lattices_Obounded__lattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X5),X1,X5) = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_319]) ).

fof(c_0_664,plain,
    ! [X1,X5] :
      ( ~ class_Lattices_Obounded__lattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Otop__class_Otop(X5),X5) = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_320]) ).

fof(c_0_665,plain,
    ! [X1,X5] :
      ( ~ class_Orderings_Otop(X5)
      | c_lessequals(X1,c_Orderings_Otop__class_Otop(X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_321]) ).

fof(c_0_666,plain,
    ! [X1,X5] :
      ( ~ class_Orderings_Obot(X5)
      | c_lessequals(c_Orderings_Obot__class_Obot(X5),X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_322]) ).

fof(c_0_667,plain,
    ! [X1,X5] :
      ( ~ class_Lattices_Oupper__semilattice(X5)
      | c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X5) = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_323]) ).

fof(c_0_668,plain,
    ! [X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omin(X1,X1,X5) = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_324]) ).

fof(c_0_669,plain,
    ! [X1,X5] :
      ( ~ class_Orderings_Olinorder(X5)
      | c_Orderings_Oord__class_Omax(X1,X1,X5) = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_325]) ).

fof(c_0_670,plain,
    ! [X1,X5] :
      ( ~ class_Lattices_Olower__semilattice(X5)
      | c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X5) = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_326]) ).

fof(c_0_671,plain,
    ! [X1,X5] :
      ( ~ class_Orderings_Oorder(X5)
      | c_lessequals(X1,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_327]) ).

fof(c_0_672,plain,
    ! [X1,X5] :
      ( ~ class_Orderings_Opreorder(X5)
      | c_lessequals(X1,X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_328]) ).

fof(c_0_673,plain,
    ! [X1,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X5),X5) = c_RealVector_Onorm__class_Onorm(X1,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_329]) ).

fof(c_0_674,plain,
    ! [X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X11,X5),X5) = c_HOL_Oabs__class_Oabs(X11,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_330]) ).

fof(c_0_675,plain,
    ! [X11,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X11,X5),X5) = c_HOL_Oabs__class_Oabs(X11,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_331]) ).

fof(c_0_676,plain,
    ! [X11,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X11,X5),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X11,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_332]) ).

fof(c_0_677,plain,
    ! [X10,X11,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ouminus__class_Ouminus(X11,X5) != c_HOL_Ouminus__class_Ouminus(X10,X5)
      | X11 = X10 ),
    inference(fof_simplification,[status(thm)],[c_0_333]) ).

fof(c_0_678,plain,
    ! [X4,X1,X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_HOL_Ouminus__class_Ouminus(X1,X5) != c_HOL_Ouminus__class_Ouminus(X4,X5)
      | X1 = X4 ),
    inference(fof_simplification,[status(thm)],[c_0_334]) ).

fof(c_0_679,plain,
    ! [X10,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X10,X5),X5) = X10 ),
    inference(fof_simplification,[status(thm)],[c_0_335]) ).

fof(c_0_680,plain,
    ! [X11,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | X11 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X11,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_336]) ).

fof(c_0_681,plain,
    ! [X10,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | X10 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_337]) ).

fof(c_0_682,plain,
    ! [X1,X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X5),X5) = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_338]) ).

fof(c_0_683,plain,
    ! [X11,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X11,X5),X5) = X11 ),
    inference(fof_simplification,[status(thm)],[c_0_339]) ).

fof(c_0_684,axiom,
    ! [X4,X1] :
      ( c_Transcendental_Oexp(X1,tc_RealDef_Oreal) != c_Transcendental_Oexp(X4,tc_RealDef_Oreal)
      | X1 = X4 ),
    c_0_340 ).

fof(c_0_685,plain,
    ! [X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X5),X5) = c_Orderings_Otop__class_Otop(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_341]) ).

fof(c_0_686,plain,
    ! [X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X5),X5) = c_Orderings_Obot__class_Obot(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_342]) ).

fof(c_0_687,axiom,
    ! [X4,X1] :
      ( c_NthRoot_Osqrt(X1) != c_NthRoot_Osqrt(X4)
      | X1 = X4 ),
    c_0_343 ).

fof(c_0_688,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X20)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X19,X18,X20),c_HOL_Oplus__class_Oplus(X17,X16,X20),X20),X20),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X19,X17,X20),X20),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X18,X16,X20),X20),X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_344]) ).

fof(c_0_689,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_RealVector_Oreal__normed__vector(X20)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X19,X18,X20),c_HOL_Oplus__class_Oplus(X17,X16,X20),X20),X20),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X19,X17,X20),X20),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X18,X16,X20),X20),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_345]) ).

fof(c_0_690,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Olattice(X9)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X8,c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X9),X9),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X9),c_Lattices_Oupper__semilattice__class_Osup(X8,X6,X9),X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_346]) ).

fof(c_0_691,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X8,X7,X9),c_Orderings_Oord__class_Omin(X8,X6,X9),X9),c_Orderings_Oord__class_Omin(X8,c_Orderings_Oord__class_Omax(X7,X6,X9),X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_347]) ).

fof(c_0_692,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Olattice(X9)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9),c_Lattices_Olower__semilattice__class_Oinf(X8,X6,X9),X9),c_Lattices_Olower__semilattice__class_Oinf(X8,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X9),X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_348]) ).

fof(c_0_693,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_lessequals(c_Orderings_Oord__class_Omax(X8,c_Orderings_Oord__class_Omin(X7,X6,X9),X9),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X8,X7,X9),c_Orderings_Oord__class_Omax(X8,X6,X9),X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_349]) ).

fof(c_0_694,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Ring__and__Field_Oordered__idom(X15)
      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X12,X14,X15),X15),X13,X15)
      | ~ c_HOL_Oord__class_Oless(X12,c_HOL_Oplus__class_Oplus(X14,X13,X15),X15)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X14,X13,X15),X12,X15) ),
    inference(variable_rename,[status(thm)],[c_0_350]) ).

fof(c_0_695,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X14)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X13,X14),c_HOL_Oabs__class_Oabs(X12,X14),X14),X14),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X13,X12,X14),X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_351]) ).

fof(c_0_696,plain,
    ! [X21,X22,X23,X24,X25] :
      ( ~ class_RealVector_Oreal__normed__vector(X25)
      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X22,X21,X25),X25),c_HOL_Oplus__class_Oplus(X24,X23,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X21,X25),X23,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X22,X25),X24,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_352]) ).

fof(c_0_697,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Ring__and__Field_Oordered__idom(X15)
      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X14,X13,X15),X12,X15)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X12,X14,X15),X15),X13,X15) ),
    inference(variable_rename,[status(thm)],[c_0_353]) ).

fof(c_0_698,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Ring__and__Field_Oordered__idom(X15)
      | c_HOL_Oord__class_Oless(X12,c_HOL_Oplus__class_Oplus(X14,X13,X15),X15)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X12,X14,X15),X15),X13,X15) ),
    inference(variable_rename,[status(thm)],[c_0_354]) ).

fof(c_0_699,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Oab__group__add(X20)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X19,X17,X20),c_HOL_Oplus__class_Oplus(X18,X16,X20),X20) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X19,X18,X20),c_HOL_Ominus__class_Ominus(X17,X16,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_355]) ).

fof(c_0_700,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X20)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X19,X18,X20),c_HOL_Oplus__class_Oplus(X17,X16,X20),X20) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X19,X17,X20),c_HOL_Oplus__class_Oplus(X18,X16,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_356]) ).

fof(c_0_701,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X14)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X13,X12,X14),X14),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X13,X14),c_HOL_Oabs__class_Oabs(X12,X14),X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_357]) ).

fof(c_0_702,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X14)
      | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X13,X14),c_HOL_Oabs__class_Oabs(X12,X14),X14),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X13,X12,X14),X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_358]) ).

fof(c_0_703,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X14)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X13,X12,X14),X14),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X13,X14),c_HOL_Oabs__class_Oabs(X12,X14),X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_359]) ).

fof(c_0_704,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X20)
      | c_lessequals(X19,c_HOL_Oplus__class_Oplus(X18,X16,X20),X20)
      | ~ c_lessequals(X17,X16,X20)
      | ~ c_lessequals(X19,c_HOL_Oplus__class_Oplus(X18,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_360]) ).

fof(c_0_705,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Oreal__normed__vector(X8)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X7,X6,X8),X8),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X7,X8),c_RealVector_Onorm__class_Onorm(X6,X8),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_361]) ).

fof(c_0_706,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X13,X12,X14),X14),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X13,X14),c_RealVector_Onorm__class_Onorm(X12,X14),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_362]) ).

fof(c_0_707,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X16)
      | c_HOL_Oord__class_Oless(X15,X14,X16)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X13,X15,X16),c_HOL_Oplus__class_Oplus(X13,X14,X16),X16) ),
    inference(variable_rename,[status(thm)],[c_0_363]) ).

fof(c_0_708,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X16)
      | c_HOL_Oord__class_Oless(X15,X14,X16)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X15,X13,X16),c_HOL_Oplus__class_Oplus(X14,X13,X16),X16) ),
    inference(variable_rename,[status(thm)],[c_0_364]) ).

fof(c_0_709,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X16)
      | c_lessequals(X15,X14,X16)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X15,X13,X16),c_HOL_Oplus__class_Oplus(X14,X13,X16),X16) ),
    inference(variable_rename,[status(thm)],[c_0_365]) ).

fof(c_0_710,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X16)
      | c_lessequals(X15,X14,X16)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X13,X15,X16),c_HOL_Oplus__class_Oplus(X13,X14,X16),X16) ),
    inference(variable_rename,[status(thm)],[c_0_366]) ).

fof(c_0_711,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X16)
      | c_lessequals(X15,c_HOL_Oplus__class_Oplus(X13,c_HOL_Oabs__class_Oabs(X14,X16),X16),X16)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X15,X14,X16),X13,X16) ),
    inference(variable_rename,[status(thm)],[c_0_367]) ).

fof(c_0_712,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X19,X17,X20),c_HOL_Oplus__class_Oplus(X18,X16,X20),X20)
      | ~ c_lessequals(X17,X16,X20)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_368]) ).

fof(c_0_713,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X19,X17,X20),c_HOL_Oplus__class_Oplus(X18,X16,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X17,X16,X20)
      | ~ c_lessequals(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_369]) ).

fof(c_0_714,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X20)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X19,X17,X20),c_HOL_Oplus__class_Oplus(X18,X16,X20),X20)
      | ~ c_lessequals(X17,X16,X20)
      | ~ c_lessequals(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_370]) ).

fof(c_0_715,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X19,X17,X20),c_HOL_Oplus__class_Oplus(X18,X16,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X17,X16,X20)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_371]) ).

fof(c_0_716,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X16)
      | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X15,X14,X16),X13,X16) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X15,X13,X16),c_HOL_Oplus__class_Oplus(X14,X13,X16),X16) ),
    inference(variable_rename,[status(thm)],[c_0_372]) ).

fof(c_0_717,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X16)
      | c_HOL_Oplus__class_Oplus(X15,c_Lattices_Oupper__semilattice__class_Osup(X14,X13,X16),X16) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X15,X14,X16),c_HOL_Oplus__class_Oplus(X15,X13,X16),X16) ),
    inference(variable_rename,[status(thm)],[c_0_373]) ).

fof(c_0_718,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__join(X16)
      | c_HOL_Oplus__class_Oplus(X15,c_Lattices_Oupper__semilattice__class_Osup(X14,X13,X16),X16) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X15,X14,X16),c_HOL_Oplus__class_Oplus(X15,X13,X16),X16) ),
    inference(variable_rename,[status(thm)],[c_0_374]) ).

fof(c_0_719,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__join(X16)
      | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X15,X14,X16),X13,X16) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X15,X13,X16),c_HOL_Oplus__class_Oplus(X14,X13,X16),X16) ),
    inference(variable_rename,[status(thm)],[c_0_375]) ).

fof(c_0_720,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Odistrib__lattice(X9)
      | c_Lattices_Olower__semilattice__class_Oinf(X8,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X9),X9) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9),c_Lattices_Olower__semilattice__class_Oinf(X8,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_376]) ).

fof(c_0_721,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Odistrib__lattice(X9)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X9),X8,X9) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X7,X8,X9),c_Lattices_Olower__semilattice__class_Oinf(X6,X8,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_377]) ).

fof(c_0_722,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_Orderings_Oord__class_Omin(X8,c_Orderings_Oord__class_Omax(X7,X6,X9),X9) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X8,X7,X9),c_Orderings_Oord__class_Omin(X8,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_378]) ).

fof(c_0_723,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X7,X6,X9),X8,X9) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X7,X8,X9),c_Orderings_Oord__class_Omin(X6,X8,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_379]) ).

fof(c_0_724,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Odistrib__lattice(X9)
      | c_Lattices_Oupper__semilattice__class_Osup(X8,c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X9),X9) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X9),c_Lattices_Oupper__semilattice__class_Osup(X8,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_380]) ).

fof(c_0_725,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Odistrib__lattice(X9)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X9),X8,X9) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X7,X8,X9),c_Lattices_Oupper__semilattice__class_Osup(X6,X8,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_381]) ).

fof(c_0_726,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_Orderings_Oord__class_Omax(X8,c_Orderings_Oord__class_Omin(X7,X6,X9),X9) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X8,X7,X9),c_Orderings_Oord__class_Omax(X8,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_382]) ).

fof(c_0_727,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X7,X6,X9),X8,X9) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X7,X8,X9),c_Orderings_Oord__class_Omax(X6,X8,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_383]) ).

fof(c_0_728,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X9)
      | c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(X8,X7,X9),X6,X9) = c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(X8,X6,X9),c_HOL_Oplus__class_Oplus(X7,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_384]) ).

fof(c_0_729,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X9)
      | c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(X8,X7,X9),X6,X9) = c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(X8,X6,X9),c_HOL_Oplus__class_Oplus(X7,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_385]) ).

fof(c_0_730,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X16)
      | c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X15,X14,X16),X13,X16) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X15,X13,X16),c_HOL_Oplus__class_Oplus(X14,X13,X16),X16) ),
    inference(variable_rename,[status(thm)],[c_0_386]) ).

fof(c_0_731,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X16)
      | c_HOL_Oplus__class_Oplus(X15,c_Lattices_Olower__semilattice__class_Oinf(X14,X13,X16),X16) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X15,X14,X16),c_HOL_Oplus__class_Oplus(X15,X13,X16),X16) ),
    inference(variable_rename,[status(thm)],[c_0_387]) ).

fof(c_0_732,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X16)
      | c_HOL_Oplus__class_Oplus(X15,c_Lattices_Olower__semilattice__class_Oinf(X14,X13,X16),X16) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X15,X14,X16),c_HOL_Oplus__class_Oplus(X15,X13,X16),X16) ),
    inference(variable_rename,[status(thm)],[c_0_388]) ).

fof(c_0_733,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X16)
      | c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X15,X14,X16),X13,X16) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X15,X13,X16),c_HOL_Oplus__class_Oplus(X14,X13,X16),X16) ),
    inference(variable_rename,[status(thm)],[c_0_389]) ).

fof(c_0_734,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X9)
      | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X8,X7,X9),X6,X9) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X8,X6,X9),c_HOL_Ominus__class_Ominus(X7,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_390]) ).

fof(c_0_735,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X9)
      | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X8,X7,X9),X6,X9) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X8,X6,X9),c_HOL_Ominus__class_Ominus(X7,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_391]) ).

fof(c_0_736,plain,
    ! [X19,X20,X21,X22,X23] :
      ( ~ class_OrderedGroup_Oab__group__add(X23)
      | c_HOL_Oplus__class_Oplus(X21,c_HOL_Oplus__class_Oplus(X20,X19,X23),X23) != c_HOL_Oplus__class_Oplus(X20,X22,X23)
      | c_HOL_Oplus__class_Oplus(X21,X19,X23) = X22 ),
    inference(variable_rename,[status(thm)],[c_0_392]) ).

fof(c_0_737,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_lessequals(X7,X6,X9)
      | c_lessequals(X8,X6,X9)
      | ~ c_lessequals(c_Orderings_Oord__class_Omin(X8,X7,X9),X6,X9) ),
    inference(variable_rename,[status(thm)],[c_0_393]) ).

fof(c_0_738,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_lessequals(X6,X7,X9)
      | c_lessequals(X6,X8,X9)
      | ~ c_lessequals(X6,c_Orderings_Oord__class_Omax(X8,X7,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_394]) ).

fof(c_0_739,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_HOL_Oord__class_Oless(X6,X7,X9)
      | c_HOL_Oord__class_Oless(X6,X8,X9)
      | ~ c_HOL_Oord__class_Oless(X6,c_Orderings_Oord__class_Omax(X8,X7,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_395]) ).

fof(c_0_740,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_HOL_Oord__class_Oless(X7,X6,X9)
      | c_HOL_Oord__class_Oless(X8,X6,X9)
      | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X8,X7,X9),X6,X9) ),
    inference(variable_rename,[status(thm)],[c_0_396]) ).

fof(c_0_741,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X16)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X13,X15,X16),c_HOL_Oplus__class_Oplus(X13,X14,X16),X16)
      | ~ c_HOL_Oord__class_Oless(X15,X14,X16) ),
    inference(variable_rename,[status(thm)],[c_0_397]) ).

fof(c_0_742,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X16)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X13,X15,X16),c_HOL_Oplus__class_Oplus(X13,X14,X16),X16)
      | ~ c_HOL_Oord__class_Oless(X15,X14,X16) ),
    inference(variable_rename,[status(thm)],[c_0_398]) ).

fof(c_0_743,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X16)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X15,X13,X16),c_HOL_Oplus__class_Oplus(X14,X13,X16),X16)
      | ~ c_HOL_Oord__class_Oless(X15,X14,X16) ),
    inference(variable_rename,[status(thm)],[c_0_399]) ).

fof(c_0_744,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X16)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X15,X13,X16),c_HOL_Oplus__class_Oplus(X14,X13,X16),X16)
      | ~ c_HOL_Oord__class_Oless(X15,X14,X16) ),
    inference(variable_rename,[status(thm)],[c_0_400]) ).

fof(c_0_745,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X16)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X15,X13,X16),c_HOL_Oplus__class_Oplus(X14,X13,X16),X16)
      | ~ c_lessequals(X15,X14,X16) ),
    inference(variable_rename,[status(thm)],[c_0_401]) ).

fof(c_0_746,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X16)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X13,X15,X16),c_HOL_Oplus__class_Oplus(X13,X14,X16),X16)
      | ~ c_lessequals(X15,X14,X16) ),
    inference(variable_rename,[status(thm)],[c_0_402]) ).

fof(c_0_747,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X16)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X15,X13,X16),c_HOL_Oplus__class_Oplus(X14,X13,X16),X16)
      | ~ c_lessequals(X15,X14,X16) ),
    inference(variable_rename,[status(thm)],[c_0_403]) ).

fof(c_0_748,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X16)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X13,X15,X16),c_HOL_Oplus__class_Oplus(X13,X14,X16),X16)
      | ~ c_lessequals(X15,X14,X16) ),
    inference(variable_rename,[status(thm)],[c_0_404]) ).

fof(c_0_749,plain,
    ! [X5,X6,X7] :
      ( c_lessequals(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X7,X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_405]) ).

fof(c_0_750,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_HOL_Oord__class_Oless(X6,c_Orderings_Oord__class_Omin(X8,X7,X9),X9)
      | ~ c_HOL_Oord__class_Oless(X6,X7,X9)
      | ~ c_HOL_Oord__class_Oless(X6,X8,X9) ),
    inference(variable_rename,[status(thm)],[c_0_406]) ).

fof(c_0_751,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X8,X7,X9),X6,X9)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X9)
      | ~ c_HOL_Oord__class_Oless(X8,X6,X9) ),
    inference(variable_rename,[status(thm)],[c_0_407]) ).

fof(c_0_752,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Oupper__semilattice(X9)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X9),X6,X9)
      | ~ c_lessequals(X7,X6,X9)
      | ~ c_lessequals(X8,X6,X9) ),
    inference(variable_rename,[status(thm)],[c_0_408]) ).

fof(c_0_753,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Oupper__semilattice(X9)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X9),X8,X9)
      | ~ c_lessequals(X6,X8,X9)
      | ~ c_lessequals(X7,X8,X9) ),
    inference(variable_rename,[status(thm)],[c_0_409]) ).

fof(c_0_754,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Lattices_Oupper__semilattice(X15)
      | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X14,X13,X15),X12,X15)
      | ~ c_lessequals(X13,X12,X15)
      | ~ c_lessequals(X14,X12,X15) ),
    inference(variable_rename,[status(thm)],[c_0_410]) ).

fof(c_0_755,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Olower__semilattice(X9)
      | c_lessequals(X8,c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X9),X9)
      | ~ c_lessequals(X8,X6,X9)
      | ~ c_lessequals(X8,X7,X9) ),
    inference(variable_rename,[status(thm)],[c_0_411]) ).

fof(c_0_756,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Olower__semilattice(X9)
      | c_lessequals(X8,c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X9),X9)
      | ~ c_lessequals(X8,X6,X9)
      | ~ c_lessequals(X8,X7,X9) ),
    inference(variable_rename,[status(thm)],[c_0_412]) ).

fof(c_0_757,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Lattices_Olower__semilattice(X15)
      | c_lessequals(X12,c_Lattices_Olower__semilattice__class_Oinf(X14,X13,X15),X15)
      | ~ c_lessequals(X12,X13,X15)
      | ~ c_lessequals(X12,X14,X15) ),
    inference(variable_rename,[status(thm)],[c_0_413]) ).

fof(c_0_758,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_lessequals(c_Orderings_Oord__class_Omax(X8,X7,X9),X6,X9)
      | ~ c_lessequals(X7,X6,X9)
      | ~ c_lessequals(X8,X6,X9) ),
    inference(variable_rename,[status(thm)],[c_0_414]) ).

fof(c_0_759,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_lessequals(c_Orderings_Oord__class_Omax(X7,X6,X9),X8,X9)
      | ~ c_lessequals(X6,X8,X9)
      | ~ c_lessequals(X7,X8,X9) ),
    inference(variable_rename,[status(thm)],[c_0_415]) ).

fof(c_0_760,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Orderings_Olinorder(X15)
      | c_lessequals(c_Orderings_Oord__class_Omax(X14,X13,X15),X12,X15)
      | ~ c_lessequals(X13,X12,X15)
      | ~ c_lessequals(X14,X12,X15) ),
    inference(variable_rename,[status(thm)],[c_0_416]) ).

fof(c_0_761,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_lessequals(X8,c_Orderings_Oord__class_Omin(X7,X6,X9),X9)
      | ~ c_lessequals(X8,X6,X9)
      | ~ c_lessequals(X8,X7,X9) ),
    inference(variable_rename,[status(thm)],[c_0_417]) ).

fof(c_0_762,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_lessequals(X8,c_Orderings_Oord__class_Omin(X7,X6,X9),X9)
      | ~ c_lessequals(X8,X6,X9)
      | ~ c_lessequals(X8,X7,X9) ),
    inference(variable_rename,[status(thm)],[c_0_418]) ).

fof(c_0_763,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Orderings_Olinorder(X15)
      | c_lessequals(X12,c_Orderings_Oord__class_Omin(X14,X13,X15),X15)
      | ~ c_lessequals(X12,X13,X15)
      | ~ c_lessequals(X12,X14,X15) ),
    inference(variable_rename,[status(thm)],[c_0_419]) ).

fof(c_0_764,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X14)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X13,X14),c_HOL_Oabs__class_Oabs(X12,X14),X14),X14) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X13,X14),c_HOL_Oabs__class_Oabs(X12,X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_420]) ).

fof(c_0_765,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X14)
      | c_HOL_Oplus__class_Oplus(X13,X12,X14) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X13,X12,X14),c_Lattices_Olower__semilattice__class_Oinf(X13,X12,X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_421]) ).

fof(c_0_766,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Olattice(X9)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9),X6,X9) = c_Lattices_Olower__semilattice__class_Oinf(X8,c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_422]) ).

fof(c_0_767,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Olattice(X9)
      | c_Lattices_Olower__semilattice__class_Oinf(X8,c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X9),X9) = c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Olower__semilattice__class_Oinf(X8,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_423]) ).

fof(c_0_768,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Olower__semilattice(X9)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9),X6,X9) = c_Lattices_Olower__semilattice__class_Oinf(X8,c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_424]) ).

fof(c_0_769,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Olower__semilattice(X9)
      | c_Lattices_Olower__semilattice__class_Oinf(X8,c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X9),X9) = c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Olower__semilattice__class_Oinf(X8,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_425]) ).

fof(c_0_770,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X16)
      | c_HOL_Oplus__class_Oplus(X15,c_HOL_Oplus__class_Oplus(X14,X13,X16),X16) = c_HOL_Oplus__class_Oplus(X14,c_HOL_Oplus__class_Oplus(X15,X13,X16),X16) ),
    inference(variable_rename,[status(thm)],[c_0_426]) ).

fof(c_0_771,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X16)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X15,X14,X16),X13,X16) = c_HOL_Oplus__class_Oplus(X15,c_HOL_Oplus__class_Oplus(X14,X13,X16),X16) ),
    inference(variable_rename,[status(thm)],[c_0_427]) ).

fof(c_0_772,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X9)
      | c_HOL_Oplus__class_Oplus(X8,c_HOL_Oplus__class_Oplus(X7,X6,X9),X9) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X8,X7,X9),X6,X9) ),
    inference(variable_rename,[status(thm)],[c_0_428]) ).

fof(c_0_773,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_OrderedGroup_Oab__group__add(X9)
      | c_HOL_Oplus__class_Oplus(X8,c_HOL_Oplus__class_Oplus(X7,X6,X9),X9) = c_HOL_Oplus__class_Oplus(X7,c_HOL_Oplus__class_Oplus(X8,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_429]) ).

fof(c_0_774,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X16)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X15,X14,X16),X13,X16) = c_HOL_Oplus__class_Oplus(X15,c_HOL_Oplus__class_Oplus(X14,X13,X16),X16) ),
    inference(variable_rename,[status(thm)],[c_0_430]) ).

fof(c_0_775,plain,
    ! [X16,X17,X18,X19] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X19)
      | c_HOL_Oplus__class_Oplus(X18,c_HOL_Oplus__class_Oplus(X17,X16,X19),X19) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X18,X17,X19),X16,X19) ),
    inference(variable_rename,[status(thm)],[c_0_431]) ).

fof(c_0_776,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X16)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X15,X14,X16),X13,X16) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X15,X13,X16),X14,X16) ),
    inference(variable_rename,[status(thm)],[c_0_432]) ).

fof(c_0_777,plain,
    ! [X16,X17,X18,X19] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X19)
      | c_HOL_Oplus__class_Oplus(X18,c_HOL_Oplus__class_Oplus(X17,X16,X19),X19) = c_HOL_Oplus__class_Oplus(X17,c_HOL_Oplus__class_Oplus(X18,X16,X19),X19) ),
    inference(variable_rename,[status(thm)],[c_0_433]) ).

fof(c_0_778,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X16)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X15,X14,X16),X13,X16) = c_HOL_Oplus__class_Oplus(X15,c_HOL_Oplus__class_Oplus(X14,X13,X16),X16) ),
    inference(variable_rename,[status(thm)],[c_0_434]) ).

fof(c_0_779,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Oupper__semilattice(X9)
      | c_Lattices_Oupper__semilattice__class_Osup(X8,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X9),X9) = c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X8,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_435]) ).

fof(c_0_780,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Oupper__semilattice(X9)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X9),X6,X9) = c_Lattices_Oupper__semilattice__class_Osup(X8,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_436]) ).

fof(c_0_781,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Olattice(X9)
      | c_Lattices_Oupper__semilattice__class_Osup(X8,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X9),X9) = c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X8,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_437]) ).

fof(c_0_782,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Olattice(X9)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X9),X6,X9) = c_Lattices_Oupper__semilattice__class_Osup(X8,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_438]) ).

fof(c_0_783,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_Orderings_Oord__class_Omax(X8,c_Orderings_Oord__class_Omax(X7,X6,X9),X9) = c_Orderings_Oord__class_Omax(X7,c_Orderings_Oord__class_Omax(X8,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_439]) ).

fof(c_0_784,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X8,X7,X9),X6,X9) = c_Orderings_Oord__class_Omax(X8,c_Orderings_Oord__class_Omax(X7,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_440]) ).

fof(c_0_785,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X8,X7,X9),X6,X9) = c_Orderings_Oord__class_Omin(X8,c_Orderings_Oord__class_Omin(X7,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_441]) ).

fof(c_0_786,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_Orderings_Oord__class_Omin(X8,c_Orderings_Oord__class_Omin(X7,X6,X9),X9) = c_Orderings_Oord__class_Omin(X7,c_Orderings_Oord__class_Omin(X8,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_442]) ).

fof(c_0_787,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X19)
      | c_HOL_Ominus__class_Ominus(X18,X16,X19) != c_HOL_Ominus__class_Ominus(X17,X15,X19)
      | c_HOL_Oord__class_Oless(X18,X16,X19)
      | ~ c_HOL_Oord__class_Oless(X17,X15,X19) ),
    inference(variable_rename,[status(thm)],[c_0_443]) ).

fof(c_0_788,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X19)
      | c_HOL_Ominus__class_Ominus(X18,X16,X19) != c_HOL_Ominus__class_Ominus(X17,X15,X19)
      | c_HOL_Oord__class_Oless(X17,X15,X19)
      | ~ c_HOL_Oord__class_Oless(X18,X16,X19) ),
    inference(variable_rename,[status(thm)],[c_0_444]) ).

fof(c_0_789,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X19)
      | c_HOL_Ominus__class_Ominus(X18,X16,X19) != c_HOL_Ominus__class_Ominus(X17,X15,X19)
      | c_lessequals(X15,X17,X19)
      | ~ c_lessequals(X16,X18,X19) ),
    inference(variable_rename,[status(thm)],[c_0_445]) ).

fof(c_0_790,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X19)
      | c_HOL_Ominus__class_Ominus(X18,X16,X19) != c_HOL_Ominus__class_Ominus(X17,X15,X19)
      | c_lessequals(X16,X18,X19)
      | ~ c_lessequals(X15,X17,X19) ),
    inference(variable_rename,[status(thm)],[c_0_446]) ).

fof(c_0_791,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_HOL_Oord__class_Oless(X7,X6,X9)
      | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X8,X7,X9),X6,X9) ),
    inference(variable_rename,[status(thm)],[c_0_447]) ).

fof(c_0_792,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_HOL_Oord__class_Oless(X8,X6,X9)
      | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X8,X7,X9),X6,X9) ),
    inference(variable_rename,[status(thm)],[c_0_448]) ).

fof(c_0_793,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_HOL_Oord__class_Oless(X6,X7,X9)
      | ~ c_HOL_Oord__class_Oless(X6,c_Orderings_Oord__class_Omin(X8,X7,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_449]) ).

fof(c_0_794,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_HOL_Oord__class_Oless(X6,X8,X9)
      | ~ c_HOL_Oord__class_Oless(X6,c_Orderings_Oord__class_Omin(X8,X7,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_450]) ).

fof(c_0_795,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_lessequals(X7,X6,X9)
      | ~ c_lessequals(c_Orderings_Oord__class_Omax(X8,X7,X9),X6,X9) ),
    inference(variable_rename,[status(thm)],[c_0_451]) ).

fof(c_0_796,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_lessequals(X8,X6,X9)
      | ~ c_lessequals(c_Orderings_Oord__class_Omax(X8,X7,X9),X6,X9) ),
    inference(variable_rename,[status(thm)],[c_0_452]) ).

fof(c_0_797,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Orderings_Olinorder(X15)
      | c_lessequals(X13,X12,X15)
      | ~ c_lessequals(c_Orderings_Oord__class_Omax(X14,X13,X15),X12,X15) ),
    inference(variable_rename,[status(thm)],[c_0_453]) ).

fof(c_0_798,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Orderings_Olinorder(X15)
      | c_lessequals(X14,X12,X15)
      | ~ c_lessequals(c_Orderings_Oord__class_Omax(X14,X13,X15),X12,X15) ),
    inference(variable_rename,[status(thm)],[c_0_454]) ).

fof(c_0_799,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_lessequals(X8,X6,X9)
      | ~ c_lessequals(X8,c_Orderings_Oord__class_Omin(X7,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_455]) ).

fof(c_0_800,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_lessequals(X8,X7,X9)
      | ~ c_lessequals(X8,c_Orderings_Oord__class_Omin(X7,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_456]) ).

fof(c_0_801,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Orderings_Olinorder(X15)
      | c_lessequals(X12,X13,X15)
      | ~ c_lessequals(X12,c_Orderings_Oord__class_Omin(X14,X13,X15),X15) ),
    inference(variable_rename,[status(thm)],[c_0_457]) ).

fof(c_0_802,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Orderings_Olinorder(X15)
      | c_lessequals(X12,X14,X15)
      | ~ c_lessequals(X12,c_Orderings_Oord__class_Omin(X14,X13,X15),X15) ),
    inference(variable_rename,[status(thm)],[c_0_458]) ).

fof(c_0_803,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Olower__semilattice(X9)
      | c_lessequals(X8,X6,X9)
      | ~ c_lessequals(X8,c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_459]) ).

fof(c_0_804,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Olower__semilattice(X9)
      | c_lessequals(X8,X7,X9)
      | ~ c_lessequals(X8,c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_460]) ).

fof(c_0_805,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Lattices_Olower__semilattice(X15)
      | c_lessequals(X12,X13,X15)
      | ~ c_lessequals(X12,c_Lattices_Olower__semilattice__class_Oinf(X14,X13,X15),X15) ),
    inference(variable_rename,[status(thm)],[c_0_461]) ).

fof(c_0_806,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Lattices_Olower__semilattice(X15)
      | c_lessequals(X12,X14,X15)
      | ~ c_lessequals(X12,c_Lattices_Olower__semilattice__class_Oinf(X14,X13,X15),X15) ),
    inference(variable_rename,[status(thm)],[c_0_462]) ).

fof(c_0_807,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Oupper__semilattice(X9)
      | c_lessequals(X7,X6,X9)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X9),X6,X9) ),
    inference(variable_rename,[status(thm)],[c_0_463]) ).

fof(c_0_808,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Lattices_Oupper__semilattice(X9)
      | c_lessequals(X8,X6,X9)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X8,X7,X9),X6,X9) ),
    inference(variable_rename,[status(thm)],[c_0_464]) ).

fof(c_0_809,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Lattices_Oupper__semilattice(X15)
      | c_lessequals(X13,X12,X15)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X14,X13,X15),X12,X15) ),
    inference(variable_rename,[status(thm)],[c_0_465]) ).

fof(c_0_810,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Lattices_Oupper__semilattice(X15)
      | c_lessequals(X14,X12,X15)
      | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X14,X13,X15),X12,X15) ),
    inference(variable_rename,[status(thm)],[c_0_466]) ).

fof(c_0_811,plain,
    ! [X12,X13,X14] :
      ( ~ class_Ring__and__Field_Oordered__idom(X14)
      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X13,X14),X12,X14)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X13,X14),X12,X14)
      | ~ c_HOL_Oord__class_Oless(X13,X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_467]) ).

fof(c_0_812,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X14)
      | c_lessequals(c_HOL_Oabs__class_Oabs(X13,X14),X12,X14)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X13,X14),X12,X14)
      | ~ c_lessequals(X13,X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_468]) ).

fof(c_0_813,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X14)
      | c_lessequals(c_HOL_Oabs__class_Oabs(X13,X14),X12,X14)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X13,X14),X12,X14)
      | ~ c_lessequals(X13,X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_469]) ).

fof(c_0_814,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X14)
      | c_Lattices_Olower__semilattice__class_Oinf(X13,X12,X14) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X13,X14),c_HOL_Ouminus__class_Ouminus(X12,X14),X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_470]) ).

fof(c_0_815,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X14)
      | c_Lattices_Oupper__semilattice__class_Osup(X13,X12,X14) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X13,X14),c_HOL_Ouminus__class_Ouminus(X12,X14),X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_471]) ).

fof(c_0_816,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_OrderedGroup_Oab__group__add(X9)
      | c_HOL_Oplus__class_Oplus(X8,c_HOL_Oplus__class_Oplus(X7,X6,X9),X9) != X7
      | X8 = c_HOL_Ouminus__class_Ouminus(X6,X9) ),
    inference(variable_rename,[status(thm)],[c_0_472]) ).

fof(c_0_817,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_HOL_Oord__class_Oless(X6,c_Orderings_Oord__class_Omax(X8,X7,X9),X9)
      | ~ c_HOL_Oord__class_Oless(X6,X7,X9) ),
    inference(variable_rename,[status(thm)],[c_0_473]) ).

fof(c_0_818,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_HOL_Oord__class_Oless(X6,c_Orderings_Oord__class_Omax(X8,X7,X9),X9)
      | ~ c_HOL_Oord__class_Oless(X6,X8,X9) ),
    inference(variable_rename,[status(thm)],[c_0_474]) ).

fof(c_0_819,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Orderings_Olinorder(X15)
      | c_HOL_Oord__class_Oless(X12,c_Orderings_Oord__class_Omax(X14,X13,X15),X15)
      | ~ c_HOL_Oord__class_Oless(X12,X13,X15) ),
    inference(variable_rename,[status(thm)],[c_0_475]) ).

fof(c_0_820,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Orderings_Olinorder(X15)
      | c_HOL_Oord__class_Oless(X12,c_Orderings_Oord__class_Omax(X14,X13,X15),X15)
      | ~ c_HOL_Oord__class_Oless(X12,X14,X15) ),
    inference(variable_rename,[status(thm)],[c_0_476]) ).

fof(c_0_821,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X8,X7,X9),X6,X9)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X9) ),
    inference(variable_rename,[status(thm)],[c_0_477]) ).

fof(c_0_822,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X8,X7,X9),X6,X9)
      | ~ c_HOL_Oord__class_Oless(X8,X6,X9) ),
    inference(variable_rename,[status(thm)],[c_0_478]) ).

fof(c_0_823,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Orderings_Olinorder(X15)
      | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X14,X13,X15),X12,X15)
      | ~ c_HOL_Oord__class_Oless(X13,X12,X15) ),
    inference(variable_rename,[status(thm)],[c_0_479]) ).

fof(c_0_824,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Orderings_Olinorder(X15)
      | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X14,X13,X15),X12,X15)
      | ~ c_HOL_Oord__class_Oless(X14,X12,X15) ),
    inference(variable_rename,[status(thm)],[c_0_480]) ).

fof(c_0_825,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_lessequals(X6,c_Orderings_Oord__class_Omax(X8,X7,X9),X9)
      | ~ c_lessequals(X6,X7,X9) ),
    inference(variable_rename,[status(thm)],[c_0_481]) ).

fof(c_0_826,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_lessequals(X6,c_Orderings_Oord__class_Omax(X8,X7,X9),X9)
      | ~ c_lessequals(X6,X8,X9) ),
    inference(variable_rename,[status(thm)],[c_0_482]) ).

fof(c_0_827,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Orderings_Olinorder(X15)
      | c_lessequals(X12,c_Orderings_Oord__class_Omax(X14,X13,X15),X15)
      | ~ c_lessequals(X12,X13,X15) ),
    inference(variable_rename,[status(thm)],[c_0_483]) ).

fof(c_0_828,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Orderings_Olinorder(X15)
      | c_lessequals(X12,c_Orderings_Oord__class_Omax(X14,X13,X15),X15)
      | ~ c_lessequals(X12,X14,X15) ),
    inference(variable_rename,[status(thm)],[c_0_484]) ).

fof(c_0_829,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_lessequals(c_Orderings_Oord__class_Omin(X8,X7,X9),X6,X9)
      | ~ c_lessequals(X7,X6,X9) ),
    inference(variable_rename,[status(thm)],[c_0_485]) ).

fof(c_0_830,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Olinorder(X9)
      | c_lessequals(c_Orderings_Oord__class_Omin(X8,X7,X9),X6,X9)
      | ~ c_lessequals(X8,X6,X9) ),
    inference(variable_rename,[status(thm)],[c_0_486]) ).

fof(c_0_831,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Orderings_Olinorder(X15)
      | c_lessequals(c_Orderings_Oord__class_Omin(X14,X13,X15),X12,X15)
      | ~ c_lessequals(X13,X12,X15) ),
    inference(variable_rename,[status(thm)],[c_0_487]) ).

fof(c_0_832,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Orderings_Olinorder(X15)
      | c_lessequals(c_Orderings_Oord__class_Omin(X14,X13,X15),X12,X15)
      | ~ c_lessequals(X14,X12,X15) ),
    inference(variable_rename,[status(thm)],[c_0_488]) ).

fof(c_0_833,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Lattices_Olower__semilattice(X15)
      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X14,X13,X15),X12,X15)
      | ~ c_HOL_Oord__class_Oless(X14,X12,X15) ),
    inference(variable_rename,[status(thm)],[c_0_489]) ).

fof(c_0_834,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Lattices_Olower__semilattice(X15)
      | c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X14,X13,X15),X12,X15)
      | ~ c_HOL_Oord__class_Oless(X13,X12,X15) ),
    inference(variable_rename,[status(thm)],[c_0_490]) ).

fof(c_0_835,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Lattices_Oupper__semilattice(X15)
      | c_HOL_Oord__class_Oless(X12,c_Lattices_Oupper__semilattice__class_Osup(X14,X13,X15),X15)
      | ~ c_HOL_Oord__class_Oless(X12,X14,X15) ),
    inference(variable_rename,[status(thm)],[c_0_491]) ).

fof(c_0_836,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Lattices_Oupper__semilattice(X15)
      | c_HOL_Oord__class_Oless(X12,c_Lattices_Oupper__semilattice__class_Osup(X14,X13,X15),X15)
      | ~ c_HOL_Oord__class_Oless(X12,X13,X15) ),
    inference(variable_rename,[status(thm)],[c_0_492]) ).

fof(c_0_837,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Lattices_Olower__semilattice(X15)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X14,X13,X15),X12,X15)
      | ~ c_lessequals(X13,X12,X15) ),
    inference(variable_rename,[status(thm)],[c_0_493]) ).

fof(c_0_838,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Lattices_Olower__semilattice(X15)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X14,X13,X15),X12,X15)
      | ~ c_lessequals(X14,X12,X15) ),
    inference(variable_rename,[status(thm)],[c_0_494]) ).

fof(c_0_839,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Lattices_Oupper__semilattice(X15)
      | c_lessequals(X12,c_Lattices_Oupper__semilattice__class_Osup(X14,X13,X15),X15)
      | ~ c_lessequals(X12,X13,X15) ),
    inference(variable_rename,[status(thm)],[c_0_495]) ).

fof(c_0_840,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Lattices_Oupper__semilattice(X15)
      | c_lessequals(X12,c_Lattices_Oupper__semilattice__class_Osup(X14,X13,X15),X15)
      | ~ c_lessequals(X12,X14,X15) ),
    inference(variable_rename,[status(thm)],[c_0_496]) ).

fof(c_0_841,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X13,X12,X14),X14) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X12,X13,X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_497]) ).

fof(c_0_842,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X14)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X13,X12,X14),X14) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X12,X13,X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_498]) ).

fof(c_0_843,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Opreorder(X9)
      | c_HOL_Oord__class_Oless(X8,X6,X9)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X9)
      | ~ c_HOL_Oord__class_Oless(X8,X7,X9) ),
    inference(variable_rename,[status(thm)],[c_0_499]) ).

fof(c_0_844,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Oorder(X9)
      | c_HOL_Oord__class_Oless(X6,X8,X9)
      | ~ c_HOL_Oord__class_Oless(X6,X7,X9)
      | ~ c_HOL_Oord__class_Oless(X7,X8,X9) ),
    inference(variable_rename,[status(thm)],[c_0_500]) ).

fof(c_0_845,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Oorder(X9)
      | c_HOL_Oord__class_Oless(X6,X8,X9)
      | ~ c_lessequals(X6,X7,X9)
      | ~ c_HOL_Oord__class_Oless(X7,X8,X9) ),
    inference(variable_rename,[status(thm)],[c_0_501]) ).

fof(c_0_846,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Oorder(X9)
      | c_HOL_Oord__class_Oless(X6,X8,X9)
      | ~ c_HOL_Oord__class_Oless(X6,X7,X9)
      | ~ c_lessequals(X7,X8,X9) ),
    inference(variable_rename,[status(thm)],[c_0_502]) ).

fof(c_0_847,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Opreorder(X9)
      | c_HOL_Oord__class_Oless(X8,X6,X9)
      | ~ c_lessequals(X7,X6,X9)
      | ~ c_HOL_Oord__class_Oless(X8,X7,X9) ),
    inference(variable_rename,[status(thm)],[c_0_503]) ).

fof(c_0_848,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Opreorder(X9)
      | c_HOL_Oord__class_Oless(X8,X6,X9)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X9)
      | ~ c_lessequals(X8,X7,X9) ),
    inference(variable_rename,[status(thm)],[c_0_504]) ).

fof(c_0_849,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Oorder(X9)
      | c_lessequals(X6,X8,X9)
      | ~ c_lessequals(X6,X7,X9)
      | ~ c_lessequals(X7,X8,X9) ),
    inference(variable_rename,[status(thm)],[c_0_505]) ).

fof(c_0_850,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Orderings_Opreorder(X9)
      | c_lessequals(X8,X6,X9)
      | ~ c_lessequals(X7,X6,X9)
      | ~ c_lessequals(X8,X7,X9) ),
    inference(variable_rename,[status(thm)],[c_0_506]) ).

fof(c_0_851,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X14)
      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X13,X12,X14),X14) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X13,X14),c_HOL_Ouminus__class_Ouminus(X12,X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_507]) ).

fof(c_0_852,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Oboolean__algebra(X8)
      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8),X8) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X7,X8),c_HOL_Ouminus__class_Ouminus(X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_508]) ).

fof(c_0_853,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Oboolean__algebra(X8)
      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8),X8) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X7,X8),c_HOL_Ouminus__class_Ouminus(X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_509]) ).

fof(c_0_854,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X14)
      | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X13,X12,X14),X14) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X13,X14),c_HOL_Ouminus__class_Ouminus(X12,X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_510]) ).

fof(c_0_855,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Oab__group__add(X14)
      | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X13,X14),c_HOL_Ouminus__class_Ouminus(X12,X14),X14) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X13,X12,X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_511]) ).

fof(c_0_856,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Ogroup__add(X14)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X13,X12,X14),X14) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X12,X14),c_HOL_Ouminus__class_Ouminus(X13,X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_512]) ).

fof(c_0_857,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Oab__group__add(X14)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X13,X12,X14),X14) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X13,X14),c_HOL_Ouminus__class_Ouminus(X12,X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_513]) ).

fof(c_0_858,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X14)
      | c_HOL_Oord__class_Oless(X13,X12,X14)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X12,X14),c_HOL_Ouminus__class_Ouminus(X13,X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_514]) ).

fof(c_0_859,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X14)
      | c_lessequals(X13,X12,X14)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X12,X14),c_HOL_Ouminus__class_Ouminus(X13,X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_515]) ).

fof(c_0_860,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_Orderings_Oord__class_Omin(X7,c_Orderings_Oord__class_Omin(X7,X6,X8),X8) = c_Orderings_Oord__class_Omin(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_516]) ).

fof(c_0_861,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Oupper__semilattice(X8)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8),X8) = c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_517]) ).

fof(c_0_862,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olattice(X8)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8),X8) = c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_518]) ).

fof(c_0_863,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_Orderings_Oord__class_Omax(X7,c_Orderings_Oord__class_Omax(X7,X6,X8),X8) = c_Orderings_Oord__class_Omax(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_519]) ).

fof(c_0_864,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olattice(X8)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8),X8) = c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_520]) ).

fof(c_0_865,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olower__semilattice(X8)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8),X8) = c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_521]) ).

fof(c_0_866,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Ogroup__add(X14)
      | c_HOL_Oplus__class_Oplus(X13,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X13,X14),X12,X14),X14) = X12 ),
    inference(variable_rename,[status(thm)],[c_0_522]) ).

fof(c_0_867,plain,
    ! [X9,X10,X11] :
      ( c_lessequals(X11,X9,tc_RealDef_Oreal)
      | ~ c_lessequals(X10,X9,tc_RealDef_Oreal)
      | ~ c_lessequals(X11,X10,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_523]) ).

fof(c_0_868,plain,
    ! [X12,X13,X14] :
      ( ~ class_Ring__and__Field_Oordered__idom(X14)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X13,X14),X12,X14)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X13,X14),X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_524]) ).

fof(c_0_869,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X14)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X13,X14),X12,X14)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X12,X14),X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_525]) ).

fof(c_0_870,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X14)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X12,X14),X13,X14)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X13,X14),X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_526]) ).

fof(c_0_871,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X14)
      | c_HOL_Oord__class_Oless(X13,c_HOL_Ouminus__class_Ouminus(X12,X14),X14)
      | ~ c_HOL_Oord__class_Oless(X12,c_HOL_Ouminus__class_Ouminus(X13,X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_527]) ).

fof(c_0_872,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X14)
      | c_HOL_Oord__class_Oless(X12,c_HOL_Ouminus__class_Ouminus(X13,X14),X14)
      | ~ c_HOL_Oord__class_Oless(X13,c_HOL_Ouminus__class_Ouminus(X12,X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_528]) ).

fof(c_0_873,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X14)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X13,X14),X12,X14)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X13,X14),X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_529]) ).

fof(c_0_874,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X14)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X13,X14),X12,X14)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X12,X14),X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_530]) ).

fof(c_0_875,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X14)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X12,X14),X13,X14)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X13,X14),X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_531]) ).

fof(c_0_876,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X14)
      | c_lessequals(X13,c_HOL_Ouminus__class_Ouminus(X12,X14),X14)
      | ~ c_lessequals(X12,c_HOL_Ouminus__class_Ouminus(X13,X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_532]) ).

fof(c_0_877,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X14)
      | c_lessequals(X12,c_HOL_Ouminus__class_Ouminus(X13,X14),X14)
      | ~ c_lessequals(X13,c_HOL_Ouminus__class_Ouminus(X12,X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_533]) ).

fof(c_0_878,plain,
    ! [X5,X6] :
      ( c_HOL_Oord__class_Oless(X6,X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X6,tc_RealDef_Oreal),c_Transcendental_Oexp(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_534]) ).

fof(c_0_879,plain,
    ! [X5,X6] :
      ( c_lessequals(X6,X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_Transcendental_Oexp(X6,tc_RealDef_Oreal),c_Transcendental_Oexp(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_535]) ).

fof(c_0_880,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Oboolean__algebra(X8)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8) != c_Orderings_Otop__class_Otop(X8)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8) != c_Orderings_Obot__class_Obot(X8)
      | c_HOL_Ouminus__class_Ouminus(X7,X8) = X6 ),
    inference(variable_rename,[status(thm)],[c_0_536]) ).

fof(c_0_881,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Opreorder(X8)
      | c_HOL_Oord__class_Oless(X7,X6,X8)
      | c_lessequals(X6,X7,X8)
      | ~ c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_537]) ).

fof(c_0_882,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X14)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X12,X14),c_HOL_Ouminus__class_Ouminus(X13,X14),X14)
      | ~ c_HOL_Oord__class_Oless(X13,X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_538]) ).

fof(c_0_883,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X14)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X12,X14),c_HOL_Ouminus__class_Ouminus(X13,X14),X14)
      | ~ c_lessequals(X13,X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_539]) ).

fof(c_0_884,plain,
    ! [X6,X7,X8] :
      ( ~ class_OrderedGroup_Oab__group__add(X8)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X6,X8),c_HOL_Oplus__class_Oplus(X7,X6,X8),X8) = X7 ),
    inference(variable_rename,[status(thm)],[c_0_540]) ).

fof(c_0_885,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Ogroup__add(X14)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X13,X14),c_HOL_Oplus__class_Oplus(X13,X12,X14),X14) = X12 ),
    inference(variable_rename,[status(thm)],[c_0_541]) ).

fof(c_0_886,plain,
    ! [X12,X13,X14] :
      ( ~ class_Ring__and__Field_Oordered__idom(X14)
      | c_HOL_Oord__class_Oless(X13,X12,X14)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X13,X14),X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_542]) ).

fof(c_0_887,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X14)
      | c_lessequals(X13,X12,X14)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X13,X14),X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_543]) ).

fof(c_0_888,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Ring__and__Field_Oidom(X9)
      | ~ class_Int_Onumber__ring(X9)
      | c_HOL_Oplus__class_Oplus(X8,X7,X9) != c_HOL_Oplus__class_Oplus(X8,X6,X9)
      | X7 = X6 ),
    inference(variable_rename,[status(thm)],[c_0_544]) ).

fof(c_0_889,plain,
    ! [X5,X6] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X6,tc_RealDef_Oreal),c_Transcendental_Oexp(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X6,X5,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_545]) ).

fof(c_0_890,plain,
    ! [X5,X6] :
      ( c_lessequals(c_Transcendental_Oexp(X6,tc_RealDef_Oreal),c_Transcendental_Oexp(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X6,X5,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_546]) ).

fof(c_0_891,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Oab__group__add(X14)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X13,X12,X14),X14) = c_HOL_Ominus__class_Ominus(X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_547]) ).

fof(c_0_892,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Oorder(X8)
      | X7 = X6
      | ~ c_lessequals(X7,X6,X8)
      | ~ c_lessequals(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_548]) ).

fof(c_0_893,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Oorder(X8)
      | X7 = X6
      | ~ c_lessequals(X6,X7,X8)
      | ~ c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_549]) ).

fof(c_0_894,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Oorder(X8)
      | X7 = X6
      | ~ c_lessequals(X6,X7,X8)
      | ~ c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_550]) ).

fof(c_0_895,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_OrderedGroup_Oab__group__add(X18)
      | c_HOL_Ominus__class_Ominus(X17,X17,X18) != c_HOL_Ominus__class_Ominus(X16,X15,X18)
      | X16 = X15 ),
    inference(variable_rename,[status(thm)],[c_0_551]) ).

fof(c_0_896,plain,
    ! [X20,X21,X22,X23] :
      ( ~ class_OrderedGroup_Oab__group__add(X23)
      | c_HOL_Ominus__class_Ominus(X21,X20,X23) != c_HOL_Ominus__class_Ominus(X22,X22,X23)
      | X21 = X20 ),
    inference(variable_rename,[status(thm)],[c_0_552]) ).

fof(c_0_897,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X16)
      | c_HOL_Oplus__class_Oplus(X15,X14,X16) != c_HOL_Oplus__class_Oplus(X15,X13,X16)
      | X14 = X13 ),
    inference(variable_rename,[status(thm)],[c_0_553]) ).

fof(c_0_898,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X16)
      | c_HOL_Oplus__class_Oplus(X15,X14,X16) != c_HOL_Oplus__class_Oplus(X15,X13,X16)
      | X14 = X13 ),
    inference(variable_rename,[status(thm)],[c_0_554]) ).

fof(c_0_899,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X16)
      | c_HOL_Oplus__class_Oplus(X14,X15,X16) != c_HOL_Oplus__class_Oplus(X13,X15,X16)
      | X14 = X13 ),
    inference(variable_rename,[status(thm)],[c_0_555]) ).

fof(c_0_900,plain,
    ! [X12,X13,X14] :
      ( ~ class_Orderings_Opreorder(X14)
      | ~ c_HOL_Oord__class_Oless(X12,X13,X14)
      | ~ c_HOL_Oord__class_Oless(X13,X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_556]) ).

fof(c_0_901,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Opreorder(X8)
      | ~ c_HOL_Oord__class_Oless(X6,X7,X8)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_557]) ).

fof(c_0_902,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X8)
      | ~ c_HOL_Oord__class_Oless(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_558]) ).

fof(c_0_903,plain,
    ! [X12,X13,X14] :
      ( ~ class_Orderings_Oorder(X14)
      | ~ c_HOL_Oord__class_Oless(X13,X12,X14)
      | ~ c_HOL_Oord__class_Oless(X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_559]) ).

fof(c_0_904,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Opreorder(X8)
      | ~ c_lessequals(X6,X7,X8)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_560]) ).

fof(c_0_905,plain,
    ! [X6,X7] :
      ( ~ class_Orderings_Olinorder(X7)
      | ~ c_lessequals(X6,X6,X7)
      | ~ c_HOL_Oord__class_Oless(X6,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_561]) ).

fof(c_0_906,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X8)
      | ~ c_lessequals(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_562]) ).

fof(c_0_907,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | ~ c_lessequals(X7,X6,X8)
      | ~ c_HOL_Oord__class_Oless(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_563]) ).

fof(c_0_908,plain,
    ! [X10,X11] :
      ( c_lessequals(X10,X11,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X10,tc_RealDef_Oreal),X11,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_564]) ).

fof(c_0_909,plain,
    ! [X4,X5] :
      ( X4 = X5
      | ~ c_lessequals(X5,X4,tc_RealDef_Oreal)
      | ~ c_lessequals(X4,X5,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_565]) ).

fof(c_0_910,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Ogroup__add(X14)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X13,X12,X14),X12,X14) = X13 ),
    inference(variable_rename,[status(thm)],[c_0_566]) ).

fof(c_0_911,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olattice(X8)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8),X8) = X7 ),
    inference(variable_rename,[status(thm)],[c_0_567]) ).

fof(c_0_912,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_Orderings_Oord__class_Omin(X7,c_Orderings_Oord__class_Omax(X7,X6,X8),X8) = X7 ),
    inference(variable_rename,[status(thm)],[c_0_568]) ).

fof(c_0_913,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Ogroup__add(X14)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X13,X12,X14),X12,X14) = X13 ),
    inference(variable_rename,[status(thm)],[c_0_569]) ).

fof(c_0_914,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_Orderings_Oord__class_Omax(X7,c_Orderings_Oord__class_Omin(X7,X6,X8),X8) = X7 ),
    inference(variable_rename,[status(thm)],[c_0_570]) ).

fof(c_0_915,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olattice(X8)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8),X8) = X7 ),
    inference(variable_rename,[status(thm)],[c_0_571]) ).

fof(c_0_916,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Oupper__semilattice(X8)
      | c_lessequals(X6,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_572]) ).

fof(c_0_917,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Oupper__semilattice(X8)
      | c_lessequals(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_573]) ).

fof(c_0_918,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olattice(X8)
      | c_lessequals(X6,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_574]) ).

fof(c_0_919,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olattice(X8)
      | c_lessequals(X7,c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_575]) ).

fof(c_0_920,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olower__semilattice(X8)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8),X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_576]) ).

fof(c_0_921,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olower__semilattice(X8)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8),X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_577]) ).

fof(c_0_922,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olattice(X8)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8),X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_578]) ).

fof(c_0_923,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olattice(X8)
      | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8),X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_579]) ).

fof(c_0_924,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_lessequals(X7,c_Orderings_Oord__class_Omax(X7,X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_580]) ).

fof(c_0_925,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_lessequals(X6,c_Orderings_Oord__class_Omax(X7,X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_581]) ).

fof(c_0_926,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_lessequals(c_Orderings_Oord__class_Omin(X7,X6,X8),X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_582]) ).

fof(c_0_927,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_lessequals(c_Orderings_Oord__class_Omin(X7,X6,X8),X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_583]) ).

fof(c_0_928,plain,
    ! [X5,X6] :
      ( c_HOL_Oord__class_Oless(X6,X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X6),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_584]) ).

fof(c_0_929,plain,
    ! [X5,X6] :
      ( c_lessequals(X6,X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_NthRoot_Osqrt(X6),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_585]) ).

fof(c_0_930,plain,
    ! [X12,X13,X14] :
      ( ~ class_Orderings_Oorder(X14)
      | c_HOL_Oord__class_Oless(X12,X13,X14)
      | X13 = X12
      | ~ c_lessequals(X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_586]) ).

fof(c_0_931,plain,
    ! [X12,X13,X14] :
      ( ~ class_Orderings_Oorder(X14)
      | c_HOL_Oord__class_Oless(X12,X13,X14)
      | ~ c_lessequals(X12,X13,X14)
      | X13 = X12 ),
    inference(variable_rename,[status(thm)],[c_0_587]) ).

fof(c_0_932,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | X7 = X6
      | c_HOL_Oord__class_Oless(X7,X6,X8)
      | ~ c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_588]) ).

fof(c_0_933,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | X7 = X6
      | ~ c_lessequals(X7,X6,X8)
      | c_HOL_Oord__class_Oless(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_589]) ).

fof(c_0_934,plain,
    ! [X12,X13,X14] :
      ( ~ class_Orderings_Oorder(X14)
      | c_HOL_Oord__class_Oless(X13,X12,X14)
      | ~ c_lessequals(X13,X12,X14)
      | X13 = X12 ),
    inference(variable_rename,[status(thm)],[c_0_590]) ).

fof(c_0_935,plain,
    ! [X12,X13,X14] :
      ( ~ class_Orderings_Oorder(X14)
      | c_HOL_Oord__class_Oless(X13,X12,X14)
      | X13 = X12
      | ~ c_lessequals(X13,X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_591]) ).

fof(c_0_936,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Oorder(X8)
      | X7 = X6
      | c_HOL_Oord__class_Oless(X7,X6,X8)
      | ~ c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_592]) ).

fof(c_0_937,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Oorder(X8)
      | c_HOL_Oord__class_Oless(X7,X6,X8)
      | X7 = X6
      | ~ c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_593]) ).

fof(c_0_938,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Oupper__semilattice(X8)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8) != X6
      | c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_594]) ).

fof(c_0_939,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_Orderings_Oord__class_Omax(X7,X6,X8) != X6
      | c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_595]) ).

fof(c_0_940,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_Orderings_Oord__class_Omin(X7,X6,X8) != X7
      | c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_596]) ).

fof(c_0_941,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olower__semilattice(X8)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8) != X7
      | c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_597]) ).

fof(c_0_942,plain,
    ! [X5,X6] :
      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X6),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X6,X5,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_598]) ).

fof(c_0_943,plain,
    ! [X5,X6] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X6),c_Transcendental_Oarctan(X5),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X6,X5,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_599]) ).

fof(c_0_944,plain,
    ! [X5,X6] :
      ( c_lessequals(c_NthRoot_Osqrt(X6),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal)
      | ~ c_lessequals(X6,X5,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_600]) ).

fof(c_0_945,plain,
    ! [X5,X6] :
      ( c_lessequals(c_Transcendental_Oarctan(X6),c_Transcendental_Oarctan(X5),tc_RealDef_Oreal)
      | ~ c_lessequals(X6,X5,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_601]) ).

fof(c_0_946,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Oupper__semilattice(X8)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8) = X7
      | ~ c_lessequals(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_602]) ).

fof(c_0_947,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Oupper__semilattice(X8)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8) = X6
      | ~ c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_603]) ).

fof(c_0_948,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_Orderings_Oord__class_Omax(X7,X6,X8) = X7
      | ~ c_lessequals(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_604]) ).

fof(c_0_949,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_Orderings_Oord__class_Omax(X7,X6,X8) = X6
      | ~ c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_605]) ).

fof(c_0_950,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_Orderings_Oord__class_Omin(X7,X6,X8) = X6
      | ~ c_lessequals(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_606]) ).

fof(c_0_951,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_Orderings_Oord__class_Omin(X7,X6,X8) = X7
      | ~ c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_607]) ).

fof(c_0_952,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olower__semilattice(X8)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8) = X6
      | ~ c_lessequals(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_608]) ).

fof(c_0_953,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olower__semilattice(X8)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8) = X7
      | ~ c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_609]) ).

fof(c_0_954,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Opreorder(X8)
      | c_lessequals(X7,X6,X8)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_610]) ).

fof(c_0_955,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Oorder(X8)
      | c_lessequals(X7,X6,X8)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_611]) ).

fof(c_0_956,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Oboolean__algebra(X8)
      | c_HOL_Ominus__class_Ominus(X7,X6,X8) = c_Lattices_Olower__semilattice__class_Oinf(X7,c_HOL_Ouminus__class_Ouminus(X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_612]) ).

fof(c_0_957,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Ogroup__add(X14)
      | c_HOL_Ominus__class_Ominus(X13,c_HOL_Ouminus__class_Ouminus(X12,X14),X14) = c_HOL_Oplus__class_Oplus(X13,X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_613]) ).

fof(c_0_958,plain,
    ! [X6,X7,X8] :
      ( ~ class_OrderedGroup_Oab__group__add(X8)
      | c_HOL_Ominus__class_Ominus(X7,X6,X8) = c_HOL_Oplus__class_Oplus(X7,c_HOL_Ouminus__class_Ouminus(X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_614]) ).

fof(c_0_959,plain,
    ! [X6,X7,X8] :
      ( ~ class_Int_Onumber__ring(X8)
      | c_HOL_Ominus__class_Ominus(X7,X6,X8) = c_HOL_Oplus__class_Oplus(X7,c_HOL_Ouminus__class_Ouminus(X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_615]) ).

fof(c_0_960,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Ogroup__add(X14)
      | c_HOL_Ominus__class_Ominus(X13,X12,X14) = c_HOL_Oplus__class_Oplus(X13,c_HOL_Ouminus__class_Ouminus(X12,X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_616]) ).

fof(c_0_961,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Oab__group__add(X14)
      | c_HOL_Ominus__class_Ominus(X13,X12,X14) = c_HOL_Oplus__class_Oplus(X13,c_HOL_Ouminus__class_Ouminus(X12,X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_617]) ).

fof(c_0_962,plain,
    ! [X5,X6] :
      ( c_HOL_Oord__class_Oless(X6,X5,tc_RealDef_Oreal)
      | X6 = X5
      | ~ c_lessequals(X6,X5,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_618]) ).

fof(c_0_963,plain,
    ! [X5,X6] :
      ( c_lessequals(X6,X5,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X6,X5,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_619]) ).

fof(c_0_964,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_HOL_Oord__class_Oless(X6,X7,X8)
      | c_HOL_Oord__class_Oless(X7,X6,X8)
      | X7 = X6 ),
    inference(variable_rename,[status(thm)],[c_0_620]) ).

fof(c_0_965,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_HOL_Oord__class_Oless(X6,X7,X8)
      | X7 = X6
      | c_HOL_Oord__class_Oless(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_621]) ).

fof(c_0_966,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | X7 = X6
      | c_HOL_Oord__class_Oless(X7,X6,X8)
      | c_HOL_Oord__class_Oless(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_622]) ).

fof(c_0_967,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | X7 = X6
      | c_HOL_Oord__class_Oless(X6,X7,X8)
      | c_HOL_Oord__class_Oless(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_623]) ).

fof(c_0_968,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oordered__idom(X8)
      | c_HOL_Oord__class_Oless(X6,X7,X8)
      | c_HOL_Oord__class_Oless(X7,X6,X8)
      | X7 = X6 ),
    inference(variable_rename,[status(thm)],[c_0_624]) ).

fof(c_0_969,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_HOL_Oord__class_Oless(X7,X6,X8)
      | c_lessequals(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_625]) ).

fof(c_0_970,plain,
    ! [X6,X7] :
      ( ~ class_Orderings_Olinorder(X7)
      | c_HOL_Oord__class_Oless(X6,X6,X7)
      | c_lessequals(X6,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_626]) ).

fof(c_0_971,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_lessequals(X6,X7,X8)
      | c_HOL_Oord__class_Oless(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_627]) ).

fof(c_0_972,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_HOL_Oord__class_Oless(X6,X7,X8)
      | c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_628]) ).

fof(c_0_973,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_lessequals(X6,X7,X8)
      | c_lessequals(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_629]) ).

fof(c_0_974,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olower__semilattice(X8)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8) = c_Lattices_Olower__semilattice__class_Oinf(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_630]) ).

fof(c_0_975,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olattice(X8)
      | c_Lattices_Olower__semilattice__class_Oinf(X7,X6,X8) = c_Lattices_Olower__semilattice__class_Oinf(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_631]) ).

fof(c_0_976,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_Orderings_Oord__class_Omin(X7,X6,X8) = c_Orderings_Oord__class_Omin(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_632]) ).

fof(c_0_977,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Oupper__semilattice(X8)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8) = c_Lattices_Oupper__semilattice__class_Osup(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_633]) ).

fof(c_0_978,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Olattice(X8)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X6,X8) = c_Lattices_Oupper__semilattice__class_Osup(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_634]) ).

fof(c_0_979,plain,
    ! [X6,X7,X8] :
      ( ~ class_Orderings_Olinorder(X8)
      | c_Orderings_Oord__class_Omax(X7,X6,X8) = c_Orderings_Oord__class_Omax(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_635]) ).

fof(c_0_980,plain,
    ! [X13,X14,X15] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X15)
      | c_HOL_Oplus__class_Oplus(X14,X13,X15) = c_HOL_Oplus__class_Oplus(X13,X14,X15) ),
    inference(variable_rename,[status(thm)],[c_0_636]) ).

fof(c_0_981,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X8)
      | c_HOL_Oplus__class_Oplus(X7,X6,X8) = c_HOL_Oplus__class_Oplus(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_637]) ).

fof(c_0_982,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X14)
      | c_HOL_Oplus__class_Oplus(X13,X12,X14) = c_HOL_Oplus__class_Oplus(X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_638]) ).

fof(c_0_983,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X12,X13),c_HOL_Oabs__class_Oabs(X12,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_639]) ).

fof(c_0_984,plain,
    ! [X4,X5] :
      ( c_lessequals(X5,X4,tc_RealDef_Oreal)
      | c_lessequals(X4,X5,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_640]) ).

fof(c_0_985,plain,
    ! [X18,X19,X20] :
      ( ~ class_Lattices_Obounded__lattice(X20)
      | c_Lattices_Oupper__semilattice__class_Osup(X19,X18,X20) != c_Orderings_Obot__class_Obot(X20)
      | X18 = c_Orderings_Obot__class_Obot(X20) ),
    inference(variable_rename,[status(thm)],[c_0_641]) ).

fof(c_0_986,plain,
    ! [X18,X19,X20] :
      ( ~ class_Lattices_Obounded__lattice(X20)
      | c_Lattices_Oupper__semilattice__class_Osup(X19,X18,X20) != c_Orderings_Obot__class_Obot(X20)
      | X19 = c_Orderings_Obot__class_Obot(X20) ),
    inference(variable_rename,[status(thm)],[c_0_642]) ).

fof(c_0_987,plain,
    ! [X18,X19,X20] :
      ( ~ class_Lattices_Obounded__lattice(X20)
      | c_Lattices_Olower__semilattice__class_Oinf(X19,X18,X20) != c_Orderings_Otop__class_Otop(X20)
      | X19 = c_Orderings_Otop__class_Otop(X20) ),
    inference(variable_rename,[status(thm)],[c_0_643]) ).

fof(c_0_988,plain,
    ! [X18,X19,X20] :
      ( ~ class_Lattices_Obounded__lattice(X20)
      | c_Lattices_Olower__semilattice__class_Oinf(X19,X18,X20) != c_Orderings_Otop__class_Otop(X20)
      | X18 = c_Orderings_Otop__class_Otop(X20) ),
    inference(variable_rename,[status(thm)],[c_0_644]) ).

fof(c_0_989,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X13)
      | c_HOL_Oabs__class_Oabs(X12,X13) = c_Lattices_Oupper__semilattice__class_Osup(X12,c_HOL_Ouminus__class_Ouminus(X12,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_645]) ).

fof(c_0_990,plain,
    ! [X2] :
      ( c_lessequals(X2,v_L____,tc_RealDef_Oreal)
      | ~ hBOOL(hAPP(v_P,X2)) ),
    inference(variable_rename,[status(thm)],[c_0_646]) ).

fof(c_0_991,plain,
    ! [X2] :
      ( c_HOL_Oord__class_Oless(X2,v_Y____,tc_RealDef_Oreal)
      | ~ hBOOL(hAPP(v_P,X2)) ),
    inference(variable_rename,[status(thm)],[c_0_647]) ).

fof(c_0_992,plain,
    ! [X2] :
      ( c_HOL_Oord__class_Oless(X2,v_Y____,tc_RealDef_Oreal)
      | ~ hBOOL(hAPP(v_P,X2)) ),
    inference(variable_rename,[status(thm)],[c_0_648]) ).

fof(c_0_993,plain,
    ! [X6,X7] :
      ( ~ class_Orderings_Olinorder(X7)
      | ~ c_HOL_Oord__class_Oless(X6,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_649]) ).

fof(c_0_994,plain,
    ! [X6,X7] :
      ( ~ class_Orderings_Oorder(X7)
      | ~ c_HOL_Oord__class_Oless(X6,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_650]) ).

fof(c_0_995,plain,
    ! [X6,X7] :
      ( ~ class_Orderings_Opreorder(X7)
      | ~ c_HOL_Oord__class_Oless(X6,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_651]) ).

fof(c_0_996,plain,
    ! [X6,X7] :
      ( ~ class_Lattices_Oboolean__algebra(X7)
      | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X6,X7),X6,X7) = c_Orderings_Otop__class_Otop(X7) ),
    inference(variable_rename,[status(thm)],[c_0_652]) ).

fof(c_0_997,plain,
    ! [X6,X7] :
      ( ~ class_Lattices_Oboolean__algebra(X7)
      | c_Lattices_Oupper__semilattice__class_Osup(X6,c_HOL_Ouminus__class_Ouminus(X6,X7),X7) = c_Orderings_Otop__class_Otop(X7) ),
    inference(variable_rename,[status(thm)],[c_0_653]) ).

fof(c_0_998,plain,
    ! [X6,X7] :
      ( ~ class_Lattices_Oboolean__algebra(X7)
      | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X6,X7),X6,X7) = c_Orderings_Obot__class_Obot(X7) ),
    inference(variable_rename,[status(thm)],[c_0_654]) ).

fof(c_0_999,plain,
    ! [X6,X7] :
      ( ~ class_Lattices_Oboolean__algebra(X7)
      | c_Lattices_Olower__semilattice__class_Oinf(X6,c_HOL_Ouminus__class_Ouminus(X6,X7),X7) = c_Orderings_Obot__class_Obot(X7) ),
    inference(variable_rename,[status(thm)],[c_0_655]) ).

fof(c_0_1000,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
      | c_lessequals(X12,c_HOL_Oabs__class_Oabs(X12,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_656]) ).

fof(c_0_1001,plain,
    ! [X6,X7] :
      ( ~ class_Lattices_Obounded__lattice(X7)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X7),X6,X7) = c_Orderings_Obot__class_Obot(X7) ),
    inference(variable_rename,[status(thm)],[c_0_657]) ).

fof(c_0_1002,plain,
    ! [X6,X7] :
      ( ~ class_Lattices_Obounded__lattice(X7)
      | c_Lattices_Olower__semilattice__class_Oinf(X6,c_Orderings_Obot__class_Obot(X7),X7) = c_Orderings_Obot__class_Obot(X7) ),
    inference(variable_rename,[status(thm)],[c_0_658]) ).

fof(c_0_1003,plain,
    ! [X6,X7] :
      ( ~ class_Lattices_Obounded__lattice(X7)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X7),X6,X7) = c_Orderings_Otop__class_Otop(X7) ),
    inference(variable_rename,[status(thm)],[c_0_659]) ).

fof(c_0_1004,plain,
    ! [X6,X7] :
      ( ~ class_Lattices_Obounded__lattice(X7)
      | c_Lattices_Oupper__semilattice__class_Osup(X6,c_Orderings_Otop__class_Otop(X7),X7) = c_Orderings_Otop__class_Otop(X7) ),
    inference(variable_rename,[status(thm)],[c_0_660]) ).

fof(c_0_1005,plain,
    ! [X6,X7] :
      ( ~ class_Lattices_Obounded__lattice(X7)
      | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X7),X6,X7) = X6 ),
    inference(variable_rename,[status(thm)],[c_0_661]) ).

fof(c_0_1006,plain,
    ! [X6,X7] :
      ( ~ class_Lattices_Obounded__lattice(X7)
      | c_Lattices_Oupper__semilattice__class_Osup(X6,c_Orderings_Obot__class_Obot(X7),X7) = X6 ),
    inference(variable_rename,[status(thm)],[c_0_662]) ).

fof(c_0_1007,plain,
    ! [X6,X7] :
      ( ~ class_Lattices_Obounded__lattice(X7)
      | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X7),X6,X7) = X6 ),
    inference(variable_rename,[status(thm)],[c_0_663]) ).

fof(c_0_1008,plain,
    ! [X6,X7] :
      ( ~ class_Lattices_Obounded__lattice(X7)
      | c_Lattices_Olower__semilattice__class_Oinf(X6,c_Orderings_Otop__class_Otop(X7),X7) = X6 ),
    inference(variable_rename,[status(thm)],[c_0_664]) ).

fof(c_0_1009,plain,
    ! [X6,X7] :
      ( ~ class_Orderings_Otop(X7)
      | c_lessequals(X6,c_Orderings_Otop__class_Otop(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_665]) ).

fof(c_0_1010,plain,
    ! [X6,X7] :
      ( ~ class_Orderings_Obot(X7)
      | c_lessequals(c_Orderings_Obot__class_Obot(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_666]) ).

fof(c_0_1011,plain,
    ! [X6,X7] :
      ( ~ class_Lattices_Oupper__semilattice(X7)
      | c_Lattices_Oupper__semilattice__class_Osup(X6,X6,X7) = X6 ),
    inference(variable_rename,[status(thm)],[c_0_667]) ).

fof(c_0_1012,plain,
    ! [X6,X7] :
      ( ~ class_Orderings_Olinorder(X7)
      | c_Orderings_Oord__class_Omin(X6,X6,X7) = X6 ),
    inference(variable_rename,[status(thm)],[c_0_668]) ).

fof(c_0_1013,plain,
    ! [X6,X7] :
      ( ~ class_Orderings_Olinorder(X7)
      | c_Orderings_Oord__class_Omax(X6,X6,X7) = X6 ),
    inference(variable_rename,[status(thm)],[c_0_669]) ).

fof(c_0_1014,plain,
    ! [X6,X7] :
      ( ~ class_Lattices_Olower__semilattice(X7)
      | c_Lattices_Olower__semilattice__class_Oinf(X6,X6,X7) = X6 ),
    inference(variable_rename,[status(thm)],[c_0_670]) ).

fof(c_0_1015,plain,
    ! [X6,X7] :
      ( ~ class_Orderings_Oorder(X7)
      | c_lessequals(X6,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_671]) ).

fof(c_0_1016,plain,
    ! [X6,X7] :
      ( ~ class_Orderings_Opreorder(X7)
      | c_lessequals(X6,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_672]) ).

fof(c_0_1017,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__normed__vector(X7)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X6,X7),X7) = c_RealVector_Onorm__class_Onorm(X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_673]) ).

fof(c_0_1018,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X12,X13),X13) = c_HOL_Oabs__class_Oabs(X12,X13) ),
    inference(variable_rename,[status(thm)],[c_0_674]) ).

fof(c_0_1019,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X12,X13),X13) = c_HOL_Oabs__class_Oabs(X12,X13) ),
    inference(variable_rename,[status(thm)],[c_0_675]) ).

fof(c_0_1020,plain,
    ! [X12,X13] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X12,X13),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X12,X13) ),
    inference(variable_rename,[status(thm)],[c_0_676]) ).

fof(c_0_1021,plain,
    ! [X12,X13,X14] :
      ( ~ class_OrderedGroup_Ogroup__add(X14)
      | c_HOL_Ouminus__class_Ouminus(X13,X14) != c_HOL_Ouminus__class_Ouminus(X12,X14)
      | X13 = X12 ),
    inference(variable_rename,[status(thm)],[c_0_677]) ).

fof(c_0_1022,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Oboolean__algebra(X8)
      | c_HOL_Ouminus__class_Ouminus(X7,X8) != c_HOL_Ouminus__class_Ouminus(X6,X8)
      | X7 = X6 ),
    inference(variable_rename,[status(thm)],[c_0_678]) ).

fof(c_0_1023,plain,
    ! [X11,X12] :
      ( ~ class_OrderedGroup_Ogroup__add(X12)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X11,X12),X12) = X11 ),
    inference(variable_rename,[status(thm)],[c_0_679]) ).

fof(c_0_1024,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Ogroup__add(X13)
      | X12 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X12,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_680]) ).

fof(c_0_1025,plain,
    ! [X11,X12] :
      ( ~ class_OrderedGroup_Ogroup__add(X12)
      | X11 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X11,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_681]) ).

fof(c_0_1026,plain,
    ! [X6,X7] :
      ( ~ class_Lattices_Oboolean__algebra(X7)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X6,X7),X7) = X6 ),
    inference(variable_rename,[status(thm)],[c_0_682]) ).

fof(c_0_1027,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Ogroup__add(X13)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X12,X13),X13) = X12 ),
    inference(variable_rename,[status(thm)],[c_0_683]) ).

fof(c_0_1028,plain,
    ! [X5,X6] :
      ( c_Transcendental_Oexp(X6,tc_RealDef_Oreal) != c_Transcendental_Oexp(X5,tc_RealDef_Oreal)
      | X6 = X5 ),
    inference(variable_rename,[status(thm)],[c_0_684]) ).

fof(c_0_1029,plain,
    ! [X6] :
      ( ~ class_Lattices_Oboolean__algebra(X6)
      | c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X6),X6) = c_Orderings_Otop__class_Otop(X6) ),
    inference(variable_rename,[status(thm)],[c_0_685]) ).

fof(c_0_1030,plain,
    ! [X6] :
      ( ~ class_Lattices_Oboolean__algebra(X6)
      | c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X6),X6) = c_Orderings_Obot__class_Obot(X6) ),
    inference(variable_rename,[status(thm)],[c_0_686]) ).

fof(c_0_1031,plain,
    ! [X5,X6] :
      ( c_NthRoot_Osqrt(X6) != c_NthRoot_Osqrt(X5)
      | X6 = X5 ),
    inference(variable_rename,[status(thm)],[c_0_687]) ).

cnf(c_0_1032,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_688]) ).

cnf(c_0_1033,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_689]) ).

cnf(c_0_1034,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_690]) ).

cnf(c_0_1035,plain,
    ( c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),c_Orderings_Oord__class_Omin(X1,X4,X3),X3),c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_691]) ).

cnf(c_0_1036,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_692]) ).

cnf(c_0_1037,plain,
    ( c_lessequals(c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X4),c_Orderings_Oord__class_Omax(X1,X3,X4),X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_693]) ).

cnf(c_0_1038,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_694]) ).

cnf(c_0_1039,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_695]) ).

cnf(c_0_1040,plain,
    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X2),X2),c_HOL_Oplus__class_Oplus(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_696]) ).

cnf(c_0_1041,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X4,X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_697]) ).

cnf(c_0_1042,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_698]) ).

cnf(c_0_1043,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_699]) ).

cnf(c_0_1044,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_700]) ).

cnf(c_0_1045,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_701]) ).

cnf(c_0_1046,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_702]) ).

cnf(c_0_1047,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_703]) ).

cnf(c_0_1048,plain,
    ( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ c_lessequals(X3,X5,X4)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_704]) ).

cnf(c_0_1049,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_705]) ).

cnf(c_0_1050,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_706]) ).

cnf(c_0_1051,plain,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_707]) ).

cnf(c_0_1052,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_708]) ).

cnf(c_0_1053,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_709]) ).

cnf(c_0_1054,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_710]) ).

cnf(c_0_1055,plain,
    ( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_711]) ).

cnf(c_0_1056,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_712]) ).

cnf(c_0_1057,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_713]) ).

cnf(c_0_1058,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_714]) ).

cnf(c_0_1059,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_715]) ).

cnf(c_0_1060,plain,
    ( c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_716]) ).

cnf(c_0_1061,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_717]) ).

cnf(c_0_1062,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_OrderedGroup_Olordered__ab__group__add__join(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_718]) ).

cnf(c_0_1063,plain,
    ( c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add__join(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_719]) ).

cnf(c_0_1064,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_720]) ).

cnf(c_0_1065,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_721]) ).

cnf(c_0_1066,plain,
    ( c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X4),c_Orderings_Oord__class_Omin(X1,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_722]) ).

cnf(c_0_1067,plain,
    ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X4,X3),c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_723]) ).

cnf(c_0_1068,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_724]) ).

cnf(c_0_1069,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_725]) ).

cnf(c_0_1070,plain,
    ( c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X4),c_Orderings_Oord__class_Omax(X1,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_726]) ).

cnf(c_0_1071,plain,
    ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X4,X3),c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_727]) ).

cnf(c_0_1072,plain,
    ( c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_728]) ).

cnf(c_0_1073,plain,
    ( c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_729]) ).

cnf(c_0_1074,plain,
    ( c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_730]) ).

cnf(c_0_1075,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_731]) ).

cnf(c_0_1076,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_732]) ).

cnf(c_0_1077,plain,
    ( c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_733]) ).

cnf(c_0_1078,plain,
    ( c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_734]) ).

cnf(c_0_1079,plain,
    ( c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_735]) ).

cnf(c_0_1080,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = X4
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3) != c_HOL_Oplus__class_Oplus(X5,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_736]) ).

cnf(c_0_1081,plain,
    ( c_lessequals(X1,X4,X3)
    | c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_737]) ).

cnf(c_0_1082,plain,
    ( c_lessequals(X1,X2,X4)
    | c_lessequals(X1,X3,X4)
    | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_738]) ).

cnf(c_0_1083,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X4)
    | c_HOL_Oord__class_Oless(X1,X3,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_739]) ).

cnf(c_0_1084,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_740]) ).

cnf(c_0_1085,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_741]) ).

cnf(c_0_1086,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_742]) ).

cnf(c_0_1087,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_743]) ).

cnf(c_0_1088,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_744]) ).

cnf(c_0_1089,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_745]) ).

cnf(c_0_1090,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_746]) ).

cnf(c_0_1091,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_747]) ).

cnf(c_0_1092,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_748]) ).

cnf(c_0_1093,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_749]) ).

cnf(c_0_1094,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_750]) ).

cnf(c_0_1095,plain,
    ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_751]) ).

cnf(c_0_1096,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_752]) ).

cnf(c_0_1097,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_753]) ).

cnf(c_0_1098,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_754]) ).

cnf(c_0_1099,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_755]) ).

cnf(c_0_1100,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_756]) ).

cnf(c_0_1101,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_757]) ).

cnf(c_0_1102,plain,
    ( c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_758]) ).

cnf(c_0_1103,plain,
    ( c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_759]) ).

cnf(c_0_1104,plain,
    ( c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_760]) ).

cnf(c_0_1105,plain,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_761]) ).

cnf(c_0_1106,plain,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_762]) ).

cnf(c_0_1107,plain,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_763]) ).

cnf(c_0_1108,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_764]) ).

cnf(c_0_1109,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_765]) ).

cnf(c_0_1110,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_766]) ).

cnf(c_0_1111,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_767]) ).

cnf(c_0_1112,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_768]) ).

cnf(c_0_1113,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_769]) ).

cnf(c_0_1114,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_770]) ).

cnf(c_0_1115,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_771]) ).

cnf(c_0_1116,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_772]) ).

cnf(c_0_1117,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_773]) ).

cnf(c_0_1118,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Oab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_774]) ).

cnf(c_0_1119,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_775]) ).

cnf(c_0_1120,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_776]) ).

cnf(c_0_1121,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_777]) ).

cnf(c_0_1122,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_778]) ).

cnf(c_0_1123,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_779]) ).

cnf(c_0_1124,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_780]) ).

cnf(c_0_1125,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_781]) ).

cnf(c_0_1126,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_782]) ).

cnf(c_0_1127,plain,
    ( c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4) = c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X1,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_783]) ).

cnf(c_0_1128,plain,
    ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_784]) ).

cnf(c_0_1129,plain,
    ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_785]) ).

cnf(c_0_1130,plain,
    ( c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4) = c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X1,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_786]) ).

cnf(c_0_1131,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_787]) ).

cnf(c_0_1132,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_788]) ).

cnf(c_0_1133,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_789]) ).

cnf(c_0_1134,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_790]) ).

cnf(c_0_1135,plain,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_791]) ).

cnf(c_0_1136,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_792]) ).

cnf(c_0_1137,plain,
    ( c_HOL_Oord__class_Oless(X1,X3,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_793]) ).

cnf(c_0_1138,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_794]) ).

cnf(c_0_1139,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_795]) ).

cnf(c_0_1140,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_796]) ).

cnf(c_0_1141,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_797]) ).

cnf(c_0_1142,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_798]) ).

cnf(c_0_1143,plain,
    ( c_lessequals(X1,X3,X4)
    | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_799]) ).

cnf(c_0_1144,plain,
    ( c_lessequals(X1,X2,X4)
    | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_800]) ).

cnf(c_0_1145,plain,
    ( c_lessequals(X1,X3,X4)
    | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_801]) ).

cnf(c_0_1146,plain,
    ( c_lessequals(X1,X2,X4)
    | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_802]) ).

cnf(c_0_1147,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_803]) ).

cnf(c_0_1148,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_804]) ).

cnf(c_0_1149,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_805]) ).

cnf(c_0_1150,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_806]) ).

cnf(c_0_1151,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_807]) ).

cnf(c_0_1152,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_808]) ).

cnf(c_0_1153,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_809]) ).

cnf(c_0_1154,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_810]) ).

cnf(c_0_1155,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_811]) ).

cnf(c_0_1156,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_812]) ).

cnf(c_0_1157,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_813]) ).

cnf(c_0_1158,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_814]) ).

cnf(c_0_1159,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_815]) ).

cnf(c_0_1160,plain,
    ( X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) != X4
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_816]) ).

cnf(c_0_1161,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_817]) ).

cnf(c_0_1162,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_818]) ).

cnf(c_0_1163,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_819]) ).

cnf(c_0_1164,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_820]) ).

cnf(c_0_1165,plain,
    ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_821]) ).

cnf(c_0_1166,plain,
    ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_822]) ).

cnf(c_0_1167,plain,
    ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_823]) ).

cnf(c_0_1168,plain,
    ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_824]) ).

cnf(c_0_1169,plain,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_825]) ).

cnf(c_0_1170,plain,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_826]) ).

cnf(c_0_1171,plain,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_827]) ).

cnf(c_0_1172,plain,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_828]) ).

cnf(c_0_1173,plain,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_829]) ).

cnf(c_0_1174,plain,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_830]) ).

cnf(c_0_1175,plain,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_831]) ).

cnf(c_0_1176,plain,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_832]) ).

cnf(c_0_1177,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_833]) ).

cnf(c_0_1178,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_834]) ).

cnf(c_0_1179,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_835]) ).

cnf(c_0_1180,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_836]) ).

cnf(c_0_1181,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_837]) ).

cnf(c_0_1182,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_838]) ).

cnf(c_0_1183,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_839]) ).

cnf(c_0_1184,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_840]) ).

cnf(c_0_1185,plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_841]) ).

cnf(c_0_1186,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_842]) ).

cnf(c_0_1187,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_843]) ).

cnf(c_0_1188,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_844]) ).

cnf(c_0_1189,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_845]) ).

cnf(c_0_1190,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_846]) ).

cnf(c_0_1191,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_847]) ).

cnf(c_0_1192,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_848]) ).

cnf(c_0_1193,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_849]) ).

cnf(c_0_1194,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_850]) ).

cnf(c_0_1195,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_851]) ).

cnf(c_0_1196,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_852]) ).

cnf(c_0_1197,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_853]) ).

cnf(c_0_1198,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_854]) ).

cnf(c_0_1199,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_855]) ).

cnf(c_0_1200,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_856]) ).

cnf(c_0_1201,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_857]) ).

cnf(c_0_1202,plain,
    ( c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_858]) ).

cnf(c_0_1203,plain,
    ( c_lessequals(X3,X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_859]) ).

cnf(c_0_1204,plain,
    ( c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X2,X3),X3) = c_Orderings_Oord__class_Omin(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_860]) ).

cnf(c_0_1205,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_861]) ).

cnf(c_0_1206,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_862]) ).

cnf(c_0_1207,plain,
    ( c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3) = c_Orderings_Oord__class_Omax(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_863]) ).

cnf(c_0_1208,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_864]) ).

cnf(c_0_1209,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_865]) ).

cnf(c_0_1210,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2) = X3
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_866]) ).

cnf(c_0_1211,plain,
    ( c_lessequals(X1,X3,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_867]) ).

cnf(c_0_1212,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_868]) ).

cnf(c_0_1213,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_869]) ).

cnf(c_0_1214,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_870]) ).

cnf(c_0_1215,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_871]) ).

cnf(c_0_1216,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_872]) ).

cnf(c_0_1217,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_873]) ).

cnf(c_0_1218,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_874]) ).

cnf(c_0_1219,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_875]) ).

cnf(c_0_1220,plain,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_876]) ).

cnf(c_0_1221,plain,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_877]) ).

cnf(c_0_1222,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_878]) ).

cnf(c_0_1223,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_879]) ).

cnf(c_0_1224,plain,
    ( c_HOL_Ouminus__class_Ouminus(X1,X2) = X3
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_880]) ).

cnf(c_0_1225,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_881]) ).

cnf(c_0_1226,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_882]) ).

cnf(c_0_1227,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_883]) ).

cnf(c_0_1228,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) = X3
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_884]) ).

cnf(c_0_1229,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2) = X3
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_885]) ).

cnf(c_0_1230,plain,
    ( c_HOL_Oord__class_Oless(X1,X3,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_886]) ).

cnf(c_0_1231,plain,
    ( c_lessequals(X1,X3,X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_887]) ).

cnf(c_0_1232,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_Int_Onumber__ring(X4)
    | ~ class_Ring__and__Field_Oidom(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_888]) ).

cnf(c_0_1233,plain,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_889]) ).

cnf(c_0_1234,plain,
    ( c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_890]) ).

cnf(c_0_1235,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_891]) ).

cnf(c_0_1236,plain,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_892]) ).

cnf(c_0_1237,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_893]) ).

cnf(c_0_1238,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_894]) ).

cnf(c_0_1239,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_895]) ).

cnf(c_0_1240,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_896]) ).

cnf(c_0_1241,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_897]) ).

cnf(c_0_1242,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_898]) ).

cnf(c_0_1243,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X1,X3,X4) != c_HOL_Oplus__class_Oplus(X2,X3,X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_899]) ).

cnf(c_0_1244,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_900]) ).

cnf(c_0_1245,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_901]) ).

cnf(c_0_1246,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_902]) ).

cnf(c_0_1247,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_903]) ).

cnf(c_0_1248,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_904]) ).

cnf(c_0_1249,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_905]) ).

cnf(c_0_1250,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_906]) ).

cnf(c_0_1251,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_907]) ).

cnf(c_0_1252,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_908]) ).

cnf(c_0_1253,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_909]) ).

cnf(c_0_1254,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3) = X1
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_910]) ).

cnf(c_0_1255,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_911]) ).

cnf(c_0_1256,plain,
    ( c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3) = X1
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_912]) ).

cnf(c_0_1257,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = X1
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_913]) ).

cnf(c_0_1258,plain,
    ( c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X2,X3),X3) = X1
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_914]) ).

cnf(c_0_1259,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_915]) ).

cnf(c_0_1260,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_916]) ).

cnf(c_0_1261,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_917]) ).

cnf(c_0_1262,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_918]) ).

cnf(c_0_1263,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_919]) ).

cnf(c_0_1264,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_920]) ).

cnf(c_0_1265,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_921]) ).

cnf(c_0_1266,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_922]) ).

cnf(c_0_1267,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_923]) ).

cnf(c_0_1268,plain,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_924]) ).

cnf(c_0_1269,plain,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_925]) ).

cnf(c_0_1270,plain,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_926]) ).

cnf(c_0_1271,plain,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_927]) ).

cnf(c_0_1272,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_928]) ).

cnf(c_0_1273,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_929]) ).

cnf(c_0_1274,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_930]) ).

cnf(c_0_1275,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_931]) ).

cnf(c_0_1276,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_932]) ).

cnf(c_0_1277,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_933]) ).

cnf(c_0_1278,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_934]) ).

cnf(c_0_1279,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_935]) ).

cnf(c_0_1280,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_936]) ).

cnf(c_0_1281,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_937]) ).

cnf(c_0_1282,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_938]) ).

cnf(c_0_1283,plain,
    ( c_lessequals(X1,X2,X3)
    | c_Orderings_Oord__class_Omax(X1,X2,X3) != X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_939]) ).

cnf(c_0_1284,plain,
    ( c_lessequals(X1,X2,X3)
    | c_Orderings_Oord__class_Omin(X1,X2,X3) != X1
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_940]) ).

cnf(c_0_1285,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_941]) ).

cnf(c_0_1286,plain,
    ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_942]) ).

cnf(c_0_1287,plain,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_943]) ).

cnf(c_0_1288,plain,
    ( c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_944]) ).

cnf(c_0_1289,plain,
    ( c_lessequals(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_945]) ).

cnf(c_0_1290,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_946]) ).

cnf(c_0_1291,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_947]) ).

cnf(c_0_1292,plain,
    ( c_Orderings_Oord__class_Omax(X2,X1,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_948]) ).

cnf(c_0_1293,plain,
    ( c_Orderings_Oord__class_Omax(X1,X2,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_949]) ).

cnf(c_0_1294,plain,
    ( c_Orderings_Oord__class_Omin(X2,X1,X3) = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_950]) ).

cnf(c_0_1295,plain,
    ( c_Orderings_Oord__class_Omin(X1,X2,X3) = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_951]) ).

cnf(c_0_1296,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_952]) ).

cnf(c_0_1297,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_953]) ).

cnf(c_0_1298,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_954]) ).

cnf(c_0_1299,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_955]) ).

cnf(c_0_1300,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_956]) ).

cnf(c_0_1301,plain,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_957]) ).

cnf(c_0_1302,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_958]) ).

cnf(c_0_1303,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_Int_Onumber__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_959]) ).

cnf(c_0_1304,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_960]) ).

cnf(c_0_1305,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_961]) ).

cnf(c_0_1306,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_962]) ).

cnf(c_0_1307,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_963]) ).

cnf(c_0_1308,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_964]) ).

cnf(c_0_1309,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_965]) ).

cnf(c_0_1310,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_966]) ).

cnf(c_0_1311,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_967]) ).

cnf(c_0_1312,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_968]) ).

cnf(c_0_1313,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_969]) ).

cnf(c_0_1314,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_970]) ).

cnf(c_0_1315,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_971]) ).

cnf(c_0_1316,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_972]) ).

cnf(c_0_1317,plain,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_973]) ).

cnf(c_0_1318,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_974]) ).

cnf(c_0_1319,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_975]) ).

cnf(c_0_1320,plain,
    ( c_Orderings_Oord__class_Omin(X1,X2,X3) = c_Orderings_Oord__class_Omin(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_976]) ).

cnf(c_0_1321,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_977]) ).

cnf(c_0_1322,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_978]) ).

cnf(c_0_1323,plain,
    ( c_Orderings_Oord__class_Omax(X1,X2,X3) = c_Orderings_Oord__class_Omax(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_979]) ).

cnf(c_0_1324,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_980]) ).

cnf(c_0_1325,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_981]) ).

cnf(c_0_1326,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_982]) ).

cnf(c_0_1327,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_983]) ).

cnf(c_0_1328,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_984]) ).

cnf(c_0_1329,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_985]) ).

cnf(c_0_1330,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_986]) ).

cnf(c_0_1331,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_987]) ).

cnf(c_0_1332,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_988]) ).

cnf(c_0_1333,plain,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_989]) ).

cnf(c_0_1334,plain,
    ( c_lessequals(X1,v_L____,tc_RealDef_Oreal)
    | ~ hBOOL(hAPP(v_P,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_990]) ).

cnf(c_0_1335,plain,
    ( c_HOL_Oord__class_Oless(X1,v_Y____,tc_RealDef_Oreal)
    | ~ hBOOL(hAPP(v_P,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_991]) ).

cnf(c_0_1336,plain,
    ( c_HOL_Oord__class_Oless(X1,v_Y____,tc_RealDef_Oreal)
    | ~ hBOOL(hAPP(v_P,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_992]) ).

cnf(c_0_1337,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_993]) ).

cnf(c_0_1338,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_994]) ).

cnf(c_0_1339,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_995]) ).

cnf(c_0_1340,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_996]) ).

cnf(c_0_1341,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_997]) ).

cnf(c_0_1342,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_998]) ).

cnf(c_0_1343,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_999]) ).

cnf(c_0_1344,plain,
    ( c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1000]) ).

cnf(c_0_1345,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_1001]) ).

cnf(c_0_1346,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_1002]) ).

cnf(c_0_1347,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_1003]) ).

cnf(c_0_1348,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_1004]) ).

cnf(c_0_1349,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_1005]) ).

cnf(c_0_1350,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_1006]) ).

cnf(c_0_1351,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_1007]) ).

cnf(c_0_1352,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_1008]) ).

cnf(c_0_1353,plain,
    ( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
    | ~ class_Orderings_Otop(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1009]) ).

cnf(c_0_1354,plain,
    ( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
    | ~ class_Orderings_Obot(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1010]) ).

cnf(c_0_1355,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1011]) ).

cnf(c_0_1356,plain,
    ( c_Orderings_Oord__class_Omin(X1,X1,X2) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1012]) ).

cnf(c_0_1357,plain,
    ( c_Orderings_Oord__class_Omax(X1,X1,X2) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1013]) ).

cnf(c_0_1358,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1014]) ).

cnf(c_0_1359,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1015]) ).

cnf(c_0_1360,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1016]) ).

cnf(c_0_1361,plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_RealVector_Onorm__class_Onorm(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1017]) ).

cnf(c_0_1362,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1018]) ).

cnf(c_0_1363,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1019]) ).

cnf(c_0_1364,plain,
    ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1020]) ).

cnf(c_0_1365,plain,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1021]) ).

cnf(c_0_1366,plain,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1022]) ).

cnf(c_0_1367,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1023]) ).

cnf(c_0_1368,plain,
    ( X1 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1024]) ).

cnf(c_0_1369,plain,
    ( X1 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1025]) ).

cnf(c_0_1370,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1026]) ).

cnf(c_0_1371,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1027]) ).

cnf(c_0_1372,plain,
    ( X1 = X2
    | c_Transcendental_Oexp(X1,tc_RealDef_Oreal) != c_Transcendental_Oexp(X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_1028]) ).

cnf(c_0_1373,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X1),X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1029]) ).

cnf(c_0_1374,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X1),X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1030]) ).

cnf(c_0_1375,plain,
    ( X1 = X2
    | c_NthRoot_Osqrt(X1) != c_NthRoot_Osqrt(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1031]) ).

cnf(c_0_1376,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    c_0_1032,
    [final] ).

cnf(c_0_1377,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1033,
    [final] ).

cnf(c_0_1378,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_1034,
    [final] ).

cnf(c_0_1379,plain,
    ( c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),c_Orderings_Oord__class_Omin(X1,X4,X3),X3),c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1035,
    [final] ).

cnf(c_0_1380,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_1036,
    [final] ).

cnf(c_0_1381,plain,
    ( c_lessequals(c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X4),c_Orderings_Oord__class_Omax(X1,X3,X4),X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    c_0_1037,
    [final] ).

cnf(c_0_1382,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_1038,
    [final] ).

cnf(c_0_1383,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_1039,
    [final] ).

cnf(c_0_1384,plain,
    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X2),X2),c_HOL_Oplus__class_Oplus(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1040,
    [final] ).

cnf(c_0_1385,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X4,X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_1041,
    [final] ).

cnf(c_0_1386,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_1042,
    [final] ).

cnf(c_0_1387,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_1043,
    [final] ).

cnf(c_0_1388,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_1044,
    [final] ).

cnf(c_0_1389,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    c_0_1045,
    [final] ).

cnf(c_0_1390,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_1046,
    [final] ).

cnf(c_0_1391,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    c_0_1047,
    [final] ).

cnf(c_0_1392,plain,
    ( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ c_lessequals(X3,X5,X4)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X4) ),
    c_0_1048,
    [final] ).

cnf(c_0_1393,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1049,
    [final] ).

cnf(c_0_1394,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1050,
    [final] ).

cnf(c_0_1395,plain,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_1051,
    [final] ).

cnf(c_0_1396,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_1052,
    [final] ).

cnf(c_0_1397,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_1053,
    [final] ).

cnf(c_0_1398,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_1054,
    [final] ).

cnf(c_0_1399,plain,
    ( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3) ),
    c_0_1055,
    [final] ).

cnf(c_0_1400,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    c_0_1056,
    [final] ).

cnf(c_0_1401,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    c_0_1057,
    [final] ).

cnf(c_0_1402,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    c_0_1058,
    [final] ).

cnf(c_0_1403,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    c_0_1059,
    [final] ).

cnf(c_0_1404,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    c_0_1060,
    [final] ).

cnf(c_0_1405,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X4) ),
    c_0_1061,
    [final] ).

cnf(c_0_1406,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)
    | ~ class_OrderedGroup_Olordered__ab__group__add__join(X4) ),
    c_0_1062,
    [final] ).

cnf(c_0_1407,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add__join(X3) ),
    c_0_1063,
    [final] ).

cnf(c_0_1408,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_1064,
    [final] ).

cnf(c_0_1409,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_1065,
    [final] ).

cnf(c_0_1410,plain,
    ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X4),c_Orderings_Oord__class_Omin(X1,X3,X4),X4) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    c_0_1066,
    [final] ).

cnf(c_0_1411,plain,
    ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X4,X3),c_Orderings_Oord__class_Omin(X2,X4,X3),X3) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1067,
    [final] ).

cnf(c_0_1412,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_1068,
    [final] ).

cnf(c_0_1413,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_1069,
    [final] ).

cnf(c_0_1414,plain,
    ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X4),c_Orderings_Oord__class_Omax(X1,X3,X4),X4) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    c_0_1070,
    [final] ).

cnf(c_0_1415,plain,
    ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X4,X3),c_Orderings_Oord__class_Omax(X2,X4,X3),X3) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1071,
    [final] ).

cnf(c_0_1416,plain,
    ( c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_1072,
    [final] ).

cnf(c_0_1417,plain,
    ( c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_1073,
    [final] ).

cnf(c_0_1418,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    c_0_1074,
    [final] ).

cnf(c_0_1419,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X4) ),
    c_0_1075,
    [final] ).

cnf(c_0_1420,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X4) ),
    c_0_1076,
    [final] ).

cnf(c_0_1421,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X3) ),
    c_0_1077,
    [final] ).

cnf(c_0_1422,plain,
    ( c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X4,X3),X3) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_1078,
    [final] ).

cnf(c_0_1423,plain,
    ( c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X4,X3),X3) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_1079,
    [final] ).

cnf(c_0_1424,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = X4
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3) != c_HOL_Oplus__class_Oplus(X5,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_1080,
    [final] ).

cnf(c_0_1425,plain,
    ( c_lessequals(X1,X4,X3)
    | c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1081,
    [final] ).

cnf(c_0_1426,plain,
    ( c_lessequals(X1,X2,X4)
    | c_lessequals(X1,X3,X4)
    | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    c_0_1082,
    [final] ).

cnf(c_0_1427,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X4)
    | c_HOL_Oord__class_Oless(X1,X3,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    c_0_1083,
    [final] ).

cnf(c_0_1428,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1084,
    [final] ).

cnf(c_0_1429,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_1085,
    [final] ).

cnf(c_0_1430,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    c_0_1086,
    [final] ).

cnf(c_0_1431,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_1087,
    [final] ).

cnf(c_0_1432,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    c_0_1088,
    [final] ).

cnf(c_0_1433,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_1089,
    [final] ).

cnf(c_0_1434,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_1090,
    [final] ).

cnf(c_0_1435,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    c_0_1091,
    [final] ).

cnf(c_0_1436,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    c_0_1092,
    [final] ).

cnf(c_0_1437,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    c_0_1093,
    [final] ).

cnf(c_0_1438,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1094,
    [final] ).

cnf(c_0_1439,plain,
    ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1095,
    [final] ).

cnf(c_0_1440,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_1096,
    [final] ).

cnf(c_0_1441,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_1097,
    [final] ).

cnf(c_0_1442,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_1098,
    [final] ).

cnf(c_0_1443,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_1099,
    [final] ).

cnf(c_0_1444,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_1100,
    [final] ).

cnf(c_0_1445,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_1101,
    [final] ).

cnf(c_0_1446,plain,
    ( c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1102,
    [final] ).

cnf(c_0_1447,plain,
    ( c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1103,
    [final] ).

cnf(c_0_1448,plain,
    ( c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1104,
    [final] ).

cnf(c_0_1449,plain,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1105,
    [final] ).

cnf(c_0_1450,plain,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1106,
    [final] ).

cnf(c_0_1451,plain,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1107,
    [final] ).

cnf(c_0_1452,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_1108,
    [final] ).

cnf(c_0_1453,plain,
    ( c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,X2,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    c_0_1109,
    [final] ).

cnf(c_0_1454,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_1110,
    [final] ).

cnf(c_0_1455,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_1111,
    [final] ).

cnf(c_0_1456,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_1112,
    [final] ).

cnf(c_0_1457,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_1113,
    [final] ).

cnf(c_0_1458,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
    c_0_1114,
    [final] ).

cnf(c_0_1459,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
    c_0_1115,
    [final] ).

cnf(c_0_1460,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    c_0_1116,
    [final] ).

cnf(c_0_1461,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    c_0_1117,
    [final] ).

cnf(c_0_1462,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Oab__semigroup__add(X3) ),
    c_0_1118,
    [final] ).

cnf(c_0_1463,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    c_0_1119,
    [final] ).

cnf(c_0_1464,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_1120,
    [final] ).

cnf(c_0_1465,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    c_0_1121,
    [final] ).

cnf(c_0_1466,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_1122,
    [final] ).

cnf(c_0_1467,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_1123,
    [final] ).

cnf(c_0_1468,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_1124,
    [final] ).

cnf(c_0_1469,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_1125,
    [final] ).

cnf(c_0_1470,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_1126,
    [final] ).

cnf(c_0_1471,plain,
    ( c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4) = c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X1,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    c_0_1127,
    [final] ).

cnf(c_0_1472,plain,
    ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1128,
    [final] ).

cnf(c_0_1473,plain,
    ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1129,
    [final] ).

cnf(c_0_1474,plain,
    ( c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4) = c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X1,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    c_0_1130,
    [final] ).

cnf(c_0_1475,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_1131,
    [final] ).

cnf(c_0_1476,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_1132,
    [final] ).

cnf(c_0_1477,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_1133,
    [final] ).

cnf(c_0_1478,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_1134,
    [final] ).

cnf(c_0_1479,plain,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1135,
    [final] ).

cnf(c_0_1480,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1136,
    [final] ).

cnf(c_0_1481,plain,
    ( c_HOL_Oord__class_Oless(X1,X3,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    c_0_1137,
    [final] ).

cnf(c_0_1482,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    c_0_1138,
    [final] ).

cnf(c_0_1483,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1139,
    [final] ).

cnf(c_0_1484,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1140,
    [final] ).

cnf(c_0_1485,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1141,
    [final] ).

cnf(c_0_1486,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1142,
    [final] ).

cnf(c_0_1487,plain,
    ( c_lessequals(X1,X3,X4)
    | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    c_0_1143,
    [final] ).

cnf(c_0_1488,plain,
    ( c_lessequals(X1,X2,X4)
    | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    c_0_1144,
    [final] ).

cnf(c_0_1489,plain,
    ( c_lessequals(X1,X3,X4)
    | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    c_0_1145,
    [final] ).

cnf(c_0_1490,plain,
    ( c_lessequals(X1,X2,X4)
    | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    c_0_1146,
    [final] ).

cnf(c_0_1491,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_1147,
    [final] ).

cnf(c_0_1492,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_1148,
    [final] ).

cnf(c_0_1493,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_1149,
    [final] ).

cnf(c_0_1494,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_1150,
    [final] ).

cnf(c_0_1495,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_1151,
    [final] ).

cnf(c_0_1496,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_1152,
    [final] ).

cnf(c_0_1497,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_1153,
    [final] ).

cnf(c_0_1498,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_1154,
    [final] ).

cnf(c_0_1499,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_1155,
    [final] ).

cnf(c_0_1500,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    c_0_1156,
    [final] ).

cnf(c_0_1501,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    c_0_1157,
    [final] ).

cnf(c_0_1502,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    c_0_1158,
    [final] ).

cnf(c_0_1503,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    c_0_1159,
    [final] ).

cnf(c_0_1504,plain,
    ( X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) != X4
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_1160,
    [final] ).

cnf(c_0_1505,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1161,
    [final] ).

cnf(c_0_1506,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1162,
    [final] ).

cnf(c_0_1507,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1163,
    [final] ).

cnf(c_0_1508,plain,
    ( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1164,
    [final] ).

cnf(c_0_1509,plain,
    ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1165,
    [final] ).

cnf(c_0_1510,plain,
    ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1166,
    [final] ).

cnf(c_0_1511,plain,
    ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1167,
    [final] ).

cnf(c_0_1512,plain,
    ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1168,
    [final] ).

cnf(c_0_1513,plain,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1169,
    [final] ).

cnf(c_0_1514,plain,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1170,
    [final] ).

cnf(c_0_1515,plain,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1171,
    [final] ).

cnf(c_0_1516,plain,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1172,
    [final] ).

cnf(c_0_1517,plain,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1173,
    [final] ).

cnf(c_0_1518,plain,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1174,
    [final] ).

cnf(c_0_1519,plain,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1175,
    [final] ).

cnf(c_0_1520,plain,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1176,
    [final] ).

cnf(c_0_1521,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_1177,
    [final] ).

cnf(c_0_1522,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_1178,
    [final] ).

cnf(c_0_1523,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_1179,
    [final] ).

cnf(c_0_1524,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_1180,
    [final] ).

cnf(c_0_1525,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_1181,
    [final] ).

cnf(c_0_1526,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_1182,
    [final] ).

cnf(c_0_1527,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_1183,
    [final] ).

cnf(c_0_1528,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_1184,
    [final] ).

cnf(c_0_1529,plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1185,
    [final] ).

cnf(c_0_1530,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    c_0_1186,
    [final] ).

cnf(c_0_1531,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_1187,
    [final] ).

cnf(c_0_1532,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_1188,
    [final] ).

cnf(c_0_1533,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_1189,
    [final] ).

cnf(c_0_1534,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_1190,
    [final] ).

cnf(c_0_1535,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_1191,
    [final] ).

cnf(c_0_1536,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_1192,
    [final] ).

cnf(c_0_1537,plain,
    ( c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1193,
    [final] ).

cnf(c_0_1538,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_1194,
    [final] ).

cnf(c_0_1539,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    c_0_1195,
    [final] ).

cnf(c_0_1540,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    c_0_1196,
    [final] ).

cnf(c_0_1541,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    c_0_1197,
    [final] ).

cnf(c_0_1542,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    c_0_1198,
    [final] ).

cnf(c_0_1543,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    c_0_1199,
    [final] ).

cnf(c_0_1544,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_1200,
    [final] ).

cnf(c_0_1545,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_1201,
    [final] ).

cnf(c_0_1546,plain,
    ( c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_1202,
    [final] ).

cnf(c_0_1547,plain,
    ( c_lessequals(X3,X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_1203,
    [final] ).

cnf(c_0_1548,plain,
    ( c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X2,X3),X3) = c_Orderings_Oord__class_Omin(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1204,
    [final] ).

cnf(c_0_1549,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_1205,
    [final] ).

cnf(c_0_1550,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_1206,
    [final] ).

cnf(c_0_1551,plain,
    ( c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3) = c_Orderings_Oord__class_Omax(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1207,
    [final] ).

cnf(c_0_1552,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_1208,
    [final] ).

cnf(c_0_1553,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_1209,
    [final] ).

cnf(c_0_1554,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2) = X3
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1210,
    [final] ).

cnf(c_0_1555,plain,
    ( c_lessequals(X1,X3,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    c_0_1211,
    [final] ).

cnf(c_0_1556,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_1212,
    [final] ).

cnf(c_0_1557,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_1213,
    [final] ).

cnf(c_0_1558,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_1214,
    [final] ).

cnf(c_0_1559,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_1215,
    [final] ).

cnf(c_0_1560,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_1216,
    [final] ).

cnf(c_0_1561,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_1217,
    [final] ).

cnf(c_0_1562,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_1218,
    [final] ).

cnf(c_0_1563,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_1219,
    [final] ).

cnf(c_0_1564,plain,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_1220,
    [final] ).

cnf(c_0_1565,plain,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_1221,
    [final] ).

cnf(c_0_1566,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_1222,
    [final] ).

cnf(c_0_1567,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_1223,
    [final] ).

cnf(c_0_1568,plain,
    ( c_HOL_Ouminus__class_Ouminus(X1,X2) = X3
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    c_0_1224,
    [final] ).

cnf(c_0_1569,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_1225,
    [final] ).

cnf(c_0_1570,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_1226,
    [final] ).

cnf(c_0_1571,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_1227,
    [final] ).

cnf(c_0_1572,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) = X3
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    c_0_1228,
    [final] ).

cnf(c_0_1573,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2) = X3
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1229,
    [final] ).

cnf(c_0_1574,plain,
    ( c_HOL_Oord__class_Oless(X1,X3,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_1230,
    [final] ).

cnf(c_0_1575,plain,
    ( c_lessequals(X1,X3,X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_1231,
    [final] ).

cnf(c_0_1576,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_Int_Onumber__ring(X4)
    | ~ class_Ring__and__Field_Oidom(X4) ),
    c_0_1232,
    [final] ).

cnf(c_0_1577,plain,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    c_0_1233,
    [final] ).

cnf(c_0_1578,plain,
    ( c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    c_0_1234,
    [final] ).

cnf(c_0_1579,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_1235,
    [final] ).

cnf(c_0_1580,plain,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1236,
    [final] ).

cnf(c_0_1581,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1237,
    [final] ).

cnf(c_0_1582,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1238,
    [final] ).

cnf(c_0_1583,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_1239,
    [final] ).

cnf(c_0_1584,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_1240,
    [final] ).

cnf(c_0_1585,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X4) ),
    c_0_1241,
    [final] ).

cnf(c_0_1586,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    c_0_1242,
    [final] ).

cnf(c_0_1587,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X1,X3,X4) != c_HOL_Oplus__class_Oplus(X2,X3,X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    c_0_1243,
    [final] ).

cnf(c_0_1588,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_1244,
    [final] ).

cnf(c_0_1589,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_1245,
    [final] ).

cnf(c_0_1590,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1246,
    [final] ).

cnf(c_0_1591,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1247,
    [final] ).

cnf(c_0_1592,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_1248,
    [final] ).

cnf(c_0_1593,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_1249,
    [final] ).

cnf(c_0_1594,plain,
    ( ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1250,
    [final] ).

cnf(c_0_1595,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1251,
    [final] ).

cnf(c_0_1596,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    c_0_1252,
    [final] ).

cnf(c_0_1597,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    c_0_1253,
    [final] ).

cnf(c_0_1598,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3) = X1
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_1254,
    [final] ).

cnf(c_0_1599,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_1255,
    [final] ).

cnf(c_0_1600,plain,
    ( c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3) = X1
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1256,
    [final] ).

cnf(c_0_1601,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = X1
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_1257,
    [final] ).

cnf(c_0_1602,plain,
    ( c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X2,X3),X3) = X1
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1258,
    [final] ).

cnf(c_0_1603,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_1259,
    [final] ).

cnf(c_0_1604,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1260,
    [final] ).

cnf(c_0_1605,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1261,
    [final] ).

cnf(c_0_1606,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_1262,
    [final] ).

cnf(c_0_1607,plain,
    ( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_1263,
    [final] ).

cnf(c_0_1608,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_1264,
    [final] ).

cnf(c_0_1609,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_1265,
    [final] ).

cnf(c_0_1610,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_1266,
    [final] ).

cnf(c_0_1611,plain,
    ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)
    | ~ class_Lattices_Olattice(X3) ),
    c_0_1267,
    [final] ).

cnf(c_0_1612,plain,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1268,
    [final] ).

cnf(c_0_1613,plain,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1269,
    [final] ).

cnf(c_0_1614,plain,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1270,
    [final] ).

cnf(c_0_1615,plain,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1271,
    [final] ).

cnf(c_0_1616,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
    c_0_1272,
    [final] ).

cnf(c_0_1617,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
    c_0_1273,
    [final] ).

cnf(c_0_1618,plain,
    ( X2 = X1
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1274,
    [final] ).

cnf(c_0_1619,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1275,
    [final] ).

cnf(c_0_1620,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1276,
    [final] ).

cnf(c_0_1621,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1277,
    [final] ).

cnf(c_0_1622,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1278,
    [final] ).

cnf(c_0_1623,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1279,
    [final] ).

cnf(c_0_1624,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1280,
    [final] ).

cnf(c_0_1625,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1281,
    [final] ).

cnf(c_0_1626,plain,
    ( c_lessequals(X1,X2,X3)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1282,
    [final] ).

cnf(c_0_1627,plain,
    ( c_lessequals(X1,X2,X3)
    | c_Orderings_Oord__class_Omax(X1,X2,X3) != X2
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1283,
    [final] ).

cnf(c_0_1628,plain,
    ( c_lessequals(X1,X2,X3)
    | c_Orderings_Oord__class_Omin(X1,X2,X3) != X1
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1284,
    [final] ).

cnf(c_0_1629,plain,
    ( c_lessequals(X1,X2,X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) != X1
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_1285,
    [final] ).

cnf(c_0_1630,plain,
    ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    c_0_1286,
    [final] ).

cnf(c_0_1631,plain,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    c_0_1287,
    [final] ).

cnf(c_0_1632,plain,
    ( c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    c_0_1288,
    [final] ).

cnf(c_0_1633,plain,
    ( c_lessequals(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    c_0_1289,
    [final] ).

cnf(c_0_1634,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1290,
    [final] ).

cnf(c_0_1635,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Oupper__semilattice(X3) ),
    c_0_1291,
    [final] ).

cnf(c_0_1636,plain,
    ( c_Orderings_Oord__class_Omax(X2,X1,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1292,
    [final] ).

cnf(c_0_1637,plain,
    ( c_Orderings_Oord__class_Omax(X1,X2,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1293,
    [final] ).

cnf(c_0_1638,plain,
    ( c_Orderings_Oord__class_Omin(X2,X1,X3) = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1294,
    [final] ).

cnf(c_0_1639,plain,
    ( c_Orderings_Oord__class_Omin(X1,X2,X3) = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1295,
    [final] ).

cnf(c_0_1640,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_1296,
    [final] ).

cnf(c_0_1641,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Lattices_Olower__semilattice(X3) ),
    c_0_1297,
    [final] ).

cnf(c_0_1642,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_1298,
    [final] ).

cnf(c_0_1643,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1299,
    [final] ).

cnf(c_0_1644,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    c_0_1300,
    [final] ).

cnf(c_0_1645,plain,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_1301,
    [final] ).

cnf(c_0_1646,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_1302,
    [final] ).

cnf(c_0_1647,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_Int_Onumber__ring(X3) ),
    c_0_1303,
    [final] ).

cnf(c_0_1648,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_1304,
    [final] ).

cnf(c_0_1649,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_1305,
    [final] ).

cnf(c_0_1650,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    c_0_1306,
    [final] ).

cnf(c_0_1651,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    c_0_1307,
    [final] ).

cnf(c_0_1652,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_1308,
    [final] ).

cnf(c_0_1653,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_1309,
    [final] ).

cnf(c_0_1654,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_1310,
    [final] ).

cnf(c_0_1655,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_1311,
    [final] ).

cnf(c_0_1656,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_1312,
    [final] ).

cnf(c_0_1657,plain,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1313,
    [final] ).

cnf(c_0_1658,plain,
    ( c_lessequals(X1,X1,X2)
    | c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_1314,
    [final] ).

cnf(c_0_1659,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1315,
    [final] ).

cnf(c_0_1660,plain,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1316,
    [final] ).

cnf(c_0_1661,plain,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1317,
    [final] ).

cnf(c_0_1662,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_1318,
    [final] ).

cnf(c_0_1663,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_1319,
    [final] ).

cnf(c_0_1664,plain,
    ( c_Orderings_Oord__class_Omin(X1,X2,X3) = c_Orderings_Oord__class_Omin(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1320,
    [final] ).

cnf(c_0_1665,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_1321,
    [final] ).

cnf(c_0_1666,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_1322,
    [final] ).

cnf(c_0_1667,plain,
    ( c_Orderings_Oord__class_Omax(X1,X2,X3) = c_Orderings_Oord__class_Omax(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1323,
    [final] ).

cnf(c_0_1668,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_1324,
    [final] ).

cnf(c_0_1669,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_1325,
    [final] ).

cnf(c_0_1670,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
    c_0_1326,
    [final] ).

cnf(c_0_1671,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_1327,
    [final] ).

cnf(c_0_1672,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    c_0_1328,
    [final] ).

cnf(c_0_1673,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_1329,
    [final] ).

cnf(c_0_1674,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_1330,
    [final] ).

cnf(c_0_1675,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_1331,
    [final] ).

cnf(c_0_1676,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_1332,
    [final] ).

cnf(c_0_1677,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2) ),
    c_0_1333,
    [final] ).

cnf(c_0_1678,plain,
    ( c_lessequals(X1,v_L____,tc_RealDef_Oreal)
    | ~ hBOOL(hAPP(v_P,X1)) ),
    c_0_1334,
    [final] ).

cnf(c_0_1679,plain,
    ( c_HOL_Oord__class_Oless(X1,v_Y____,tc_RealDef_Oreal)
    | ~ hBOOL(hAPP(v_P,X1)) ),
    c_0_1335,
    [final] ).

cnf(c_0_1680,plain,
    ( c_HOL_Oord__class_Oless(X1,v_Y____,tc_RealDef_Oreal)
    | ~ hBOOL(hAPP(v_P,X1)) ),
    c_0_1336,
    [final] ).

cnf(c_0_1681,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_1337,
    [final] ).

cnf(c_0_1682,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    c_0_1338,
    [final] ).

cnf(c_0_1683,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    c_0_1339,
    [final] ).

cnf(c_0_1684,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    c_0_1340,
    [final] ).

cnf(c_0_1685,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    c_0_1341,
    [final] ).

cnf(c_0_1686,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    c_0_1342,
    [final] ).

cnf(c_0_1687,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    c_0_1343,
    [final] ).

cnf(c_0_1688,plain,
    ( c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_1344,
    [final] ).

cnf(c_0_1689,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_1345,
    [final] ).

cnf(c_0_1690,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_1346,
    [final] ).

cnf(c_0_1691,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_1347,
    [final] ).

cnf(c_0_1692,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_1348,
    [final] ).

cnf(c_0_1693,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    c_0_1349,
    [final] ).

cnf(c_0_1694,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(X2),X2) = X1
    | ~ class_Lattices_Obounded__lattice(X2) ),
    c_0_1350,
    [final] ).

cnf(c_0_1695,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X1),X2,X1) = X2
    | ~ class_Lattices_Obounded__lattice(X1) ),
    c_0_1351,
    [final] ).

cnf(c_0_1696,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Otop__class_Otop(X2),X2) = X1
    | ~ class_Lattices_Obounded__lattice(X2) ),
    c_0_1352,
    [final] ).

cnf(c_0_1697,plain,
    ( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
    | ~ class_Orderings_Otop(X2) ),
    c_0_1353,
    [final] ).

cnf(c_0_1698,plain,
    ( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
    | ~ class_Orderings_Obot(X1) ),
    c_0_1354,
    [final] ).

cnf(c_0_1699,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    c_0_1355,
    [final] ).

cnf(c_0_1700,plain,
    ( c_Orderings_Oord__class_Omin(X1,X1,X2) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_1356,
    [final] ).

cnf(c_0_1701,plain,
    ( c_Orderings_Oord__class_Omax(X1,X1,X2) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_1357,
    [final] ).

cnf(c_0_1702,plain,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1
    | ~ class_Lattices_Olower__semilattice(X2) ),
    c_0_1358,
    [final] ).

cnf(c_0_1703,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    c_0_1359,
    [final] ).

cnf(c_0_1704,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    c_0_1360,
    [final] ).

cnf(c_0_1705,plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_RealVector_Onorm__class_Onorm(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1361,
    [final] ).

cnf(c_0_1706,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_1362,
    [final] ).

cnf(c_0_1707,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_1363,
    [final] ).

cnf(c_0_1708,plain,
    ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1364,
    [final] ).

cnf(c_0_1709,plain,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_1365,
    [final] ).

cnf(c_0_1710,plain,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    c_0_1366,
    [final] ).

cnf(c_0_1711,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1367,
    [final] ).

cnf(c_0_1712,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1368,
    [final] ).

cnf(c_0_1713,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1369,
    [final] ).

cnf(c_0_1714,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    c_0_1370,
    [final] ).

cnf(c_0_1715,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1371,
    [final] ).

cnf(c_0_1716,plain,
    ( X1 = X2
    | c_Transcendental_Oexp(X1,tc_RealDef_Oreal) != c_Transcendental_Oexp(X2,tc_RealDef_Oreal) ),
    c_0_1372,
    [final] ).

cnf(c_0_1717,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X1),X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    c_0_1373,
    [final] ).

cnf(c_0_1718,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X1),X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    c_0_1374,
    [final] ).

cnf(c_0_1719,plain,
    ( X1 = X2
    | c_NthRoot_Osqrt(X1) != c_NthRoot_Osqrt(X2) ),
    c_0_1375,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_1376_0,axiom,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1376]) ).

cnf(c_0_1376_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1376]) ).

cnf(c_0_1377_0,axiom,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1377]) ).

cnf(c_0_1377_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1377]) ).

cnf(c_0_1378_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_1378]) ).

cnf(c_0_1378_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_1378]) ).

cnf(c_0_1379_0,axiom,
    ( c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),c_Orderings_Oord__class_Omin(X1,X4,X3),X3),c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1379]) ).

cnf(c_0_1379_1,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),c_Orderings_Oord__class_Omin(X1,X4,X3),X3),c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1379]) ).

cnf(c_0_1380_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_1380]) ).

cnf(c_0_1380_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_1380]) ).

cnf(c_0_1381_0,axiom,
    ( c_lessequals(c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X4),c_Orderings_Oord__class_Omax(X1,X3,X4),X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1381]) ).

cnf(c_0_1381_1,axiom,
    ( ~ class_Orderings_Olinorder(X4)
    | c_lessequals(c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X4),c_Orderings_Oord__class_Omax(X1,X3,X4),X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1381]) ).

cnf(c_0_1382_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1382]) ).

cnf(c_0_1382_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1382]) ).

cnf(c_0_1382_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1382]) ).

cnf(c_0_1382_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1382]) ).

cnf(c_0_1383_0,axiom,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1383]) ).

cnf(c_0_1383_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1383]) ).

cnf(c_0_1384_0,axiom,
    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X2),X2),c_HOL_Oplus__class_Oplus(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1384]) ).

cnf(c_0_1384_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X2),X2),c_HOL_Oplus__class_Oplus(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1384]) ).

cnf(c_0_1384_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X2),X2),c_HOL_Oplus__class_Oplus(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1384]) ).

cnf(c_0_1384_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X2),X2),c_HOL_Oplus__class_Oplus(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1384]) ).

cnf(c_0_1385_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X4,X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1385]) ).

cnf(c_0_1385_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X4,X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1385]) ).

cnf(c_0_1385_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X4,X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1385]) ).

cnf(c_0_1386_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1386]) ).

cnf(c_0_1386_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1386]) ).

cnf(c_0_1386_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1386]) ).

cnf(c_0_1387_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1387]) ).

cnf(c_0_1387_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1387]) ).

cnf(c_0_1388_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1388]) ).

cnf(c_0_1388_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1388]) ).

cnf(c_0_1389_0,axiom,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1389]) ).

cnf(c_0_1389_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1389]) ).

cnf(c_0_1390_0,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1390]) ).

cnf(c_0_1390_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1390]) ).

cnf(c_0_1391_0,axiom,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1391]) ).

cnf(c_0_1391_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1391]) ).

cnf(c_0_1392_0,axiom,
    ( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ c_lessequals(X3,X5,X4)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1392]) ).

cnf(c_0_1392_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)
    | ~ c_lessequals(X3,X5,X4)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1392]) ).

cnf(c_0_1392_2,axiom,
    ( ~ c_lessequals(X3,X5,X4)
    | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1392]) ).

cnf(c_0_1392_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
    | ~ c_lessequals(X3,X5,X4)
    | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1392]) ).

cnf(c_0_1393_0,axiom,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1393]) ).

cnf(c_0_1393_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1393]) ).

cnf(c_0_1394_0,axiom,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1394]) ).

cnf(c_0_1394_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1394]) ).

cnf(c_0_1395_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1395]) ).

cnf(c_0_1395_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1395]) ).

cnf(c_0_1395_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1395]) ).

cnf(c_0_1396_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1396]) ).

cnf(c_0_1396_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1396]) ).

cnf(c_0_1396_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1396]) ).

cnf(c_0_1397_0,axiom,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1397]) ).

cnf(c_0_1397_1,axiom,
    ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | c_lessequals(X1,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1397]) ).

cnf(c_0_1397_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | c_lessequals(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1397]) ).

cnf(c_0_1398_0,axiom,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1398]) ).

cnf(c_0_1398_1,axiom,
    ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | c_lessequals(X2,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1398]) ).

cnf(c_0_1398_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | c_lessequals(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1398]) ).

cnf(c_0_1399_0,axiom,
    ( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1399]) ).

cnf(c_0_1399_1,axiom,
    ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1399]) ).

cnf(c_0_1399_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oabs__class_Oabs(X2,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1399]) ).

cnf(c_0_1400_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1400]) ).

cnf(c_0_1400_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1400]) ).

cnf(c_0_1400_2,axiom,
    ( ~ c_lessequals(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1400]) ).

cnf(c_0_1400_3,axiom,
    ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1400]) ).

cnf(c_0_1401_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1401]) ).

cnf(c_0_1401_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1401]) ).

cnf(c_0_1401_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1401]) ).

cnf(c_0_1401_3,axiom,
    ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1401]) ).

cnf(c_0_1402_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1402]) ).

cnf(c_0_1402_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1402]) ).

cnf(c_0_1402_2,axiom,
    ( ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1402]) ).

cnf(c_0_1402_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1402]) ).

cnf(c_0_1403_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1403]) ).

cnf(c_0_1403_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1403]) ).

cnf(c_0_1403_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1403]) ).

cnf(c_0_1403_3,axiom,
    ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1403]) ).

cnf(c_0_1404_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1404]) ).

cnf(c_0_1404_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1404]) ).

cnf(c_0_1405_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1405]) ).

cnf(c_0_1405_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
    | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1405]) ).

cnf(c_0_1406_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)
    | ~ class_OrderedGroup_Olordered__ab__group__add__join(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1406]) ).

cnf(c_0_1406_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add__join(X4)
    | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1406]) ).

cnf(c_0_1407_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add__join(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1407]) ).

cnf(c_0_1407_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add__join(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1407]) ).

cnf(c_0_1408_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_1408]) ).

cnf(c_0_1408_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_1408]) ).

cnf(c_0_1409_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_1409]) ).

cnf(c_0_1409_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_1409]) ).

cnf(c_0_1410_0,axiom,
    ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X4),c_Orderings_Oord__class_Omin(X1,X3,X4),X4) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1410]) ).

cnf(c_0_1410_1,axiom,
    ( ~ class_Orderings_Olinorder(X4)
    | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X4),c_Orderings_Oord__class_Omin(X1,X3,X4),X4) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1410]) ).

cnf(c_0_1411_0,axiom,
    ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X4,X3),c_Orderings_Oord__class_Omin(X2,X4,X3),X3) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1411]) ).

cnf(c_0_1411_1,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X4,X3),c_Orderings_Oord__class_Omin(X2,X4,X3),X3) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1411]) ).

cnf(c_0_1412_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_1412]) ).

cnf(c_0_1412_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_1412]) ).

cnf(c_0_1413_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_1413]) ).

cnf(c_0_1413_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_1413]) ).

cnf(c_0_1414_0,axiom,
    ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X4),c_Orderings_Oord__class_Omax(X1,X3,X4),X4) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1414]) ).

cnf(c_0_1414_1,axiom,
    ( ~ class_Orderings_Olinorder(X4)
    | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X4),c_Orderings_Oord__class_Omax(X1,X3,X4),X4) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1414]) ).

cnf(c_0_1415_0,axiom,
    ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X4,X3),c_Orderings_Oord__class_Omax(X2,X4,X3),X3) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1415]) ).

cnf(c_0_1415_1,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X4,X3),c_Orderings_Oord__class_Omax(X2,X4,X3),X3) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1415]) ).

cnf(c_0_1416_0,axiom,
    ( c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1416]) ).

cnf(c_0_1416_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1416]) ).

cnf(c_0_1417_0,axiom,
    ( c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1417]) ).

cnf(c_0_1417_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1417]) ).

cnf(c_0_1418_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1418]) ).

cnf(c_0_1418_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1418]) ).

cnf(c_0_1419_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1419]) ).

cnf(c_0_1419_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
    | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1419]) ).

cnf(c_0_1420_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
    | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1420]) ).

cnf(c_0_1420_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X4)
    | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1420]) ).

cnf(c_0_1421_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add__meet(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1421]) ).

cnf(c_0_1421_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1421]) ).

cnf(c_0_1422_0,axiom,
    ( c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X4,X3),X3) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1422]) ).

cnf(c_0_1422_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X4,X3),X3) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1422]) ).

cnf(c_0_1423_0,axiom,
    ( c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X4,X3),X3) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1423]) ).

cnf(c_0_1423_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X4,X3),X3) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1423]) ).

cnf(c_0_1424_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = X4
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3) != c_HOL_Oplus__class_Oplus(X5,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1424]) ).

cnf(c_0_1424_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3) != c_HOL_Oplus__class_Oplus(X5,X4,X3)
    | c_HOL_Oplus__class_Oplus(X1,X2,X3) = X4
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1424]) ).

cnf(c_0_1424_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3) != c_HOL_Oplus__class_Oplus(X5,X4,X3)
    | c_HOL_Oplus__class_Oplus(X1,X2,X3) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_1424]) ).

cnf(c_0_1425_0,axiom,
    ( c_lessequals(X1,X4,X3)
    | c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1425]) ).

cnf(c_0_1425_1,axiom,
    ( c_lessequals(X2,X4,X3)
    | c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1425]) ).

cnf(c_0_1425_2,axiom,
    ( ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
    | c_lessequals(X2,X4,X3)
    | c_lessequals(X1,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1425]) ).

cnf(c_0_1425_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
    | c_lessequals(X2,X4,X3)
    | c_lessequals(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1425]) ).

cnf(c_0_1426_0,axiom,
    ( c_lessequals(X1,X2,X4)
    | c_lessequals(X1,X3,X4)
    | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1426]) ).

cnf(c_0_1426_1,axiom,
    ( c_lessequals(X1,X3,X4)
    | c_lessequals(X1,X2,X4)
    | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1426]) ).

cnf(c_0_1426_2,axiom,
    ( ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
    | c_lessequals(X1,X3,X4)
    | c_lessequals(X1,X2,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1426]) ).

cnf(c_0_1426_3,axiom,
    ( ~ class_Orderings_Olinorder(X4)
    | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
    | c_lessequals(X1,X3,X4)
    | c_lessequals(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1426]) ).

cnf(c_0_1427_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X4)
    | c_HOL_Oord__class_Oless(X1,X3,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1427]) ).

cnf(c_0_1427_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X3,X4)
    | c_HOL_Oord__class_Oless(X1,X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1427]) ).

cnf(c_0_1427_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(X1,X3,X4)
    | c_HOL_Oord__class_Oless(X1,X2,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1427]) ).

cnf(c_0_1427_3,axiom,
    ( ~ class_Orderings_Olinorder(X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(X1,X3,X4)
    | c_HOL_Oord__class_Oless(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1427]) ).

cnf(c_0_1428_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1428]) ).

cnf(c_0_1428_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1428]) ).

cnf(c_0_1428_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1428]) ).

cnf(c_0_1428_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1428]) ).

cnf(c_0_1429_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1429]) ).

cnf(c_0_1429_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1429]) ).

cnf(c_0_1429_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1429]) ).

cnf(c_0_1430_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1430]) ).

cnf(c_0_1430_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1430]) ).

cnf(c_0_1430_2,axiom,
    ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1430]) ).

cnf(c_0_1431_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1431]) ).

cnf(c_0_1431_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1431]) ).

cnf(c_0_1431_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1431]) ).

cnf(c_0_1432_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1432]) ).

cnf(c_0_1432_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1432]) ).

cnf(c_0_1432_2,axiom,
    ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1432]) ).

cnf(c_0_1433_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1433]) ).

cnf(c_0_1433_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1433]) ).

cnf(c_0_1433_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1433]) ).

cnf(c_0_1434_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1434]) ).

cnf(c_0_1434_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1434]) ).

cnf(c_0_1434_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1434]) ).

cnf(c_0_1435_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1435]) ).

cnf(c_0_1435_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1435]) ).

cnf(c_0_1435_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1435]) ).

cnf(c_0_1436_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1436]) ).

cnf(c_0_1436_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1436]) ).

cnf(c_0_1436_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1436]) ).

cnf(c_0_1437_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1437]) ).

cnf(c_0_1437_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1437]) ).

cnf(c_0_1438_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1438]) ).

cnf(c_0_1438_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1438]) ).

cnf(c_0_1438_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1438]) ).

cnf(c_0_1438_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1438]) ).

cnf(c_0_1439_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1439]) ).

cnf(c_0_1439_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1439]) ).

cnf(c_0_1439_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1439]) ).

cnf(c_0_1439_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1439]) ).

cnf(c_0_1440_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_1440]) ).

cnf(c_0_1440_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_1440]) ).

cnf(c_0_1440_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_1440]) ).

cnf(c_0_1440_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_1440]) ).

cnf(c_0_1441_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_1441]) ).

cnf(c_0_1441_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_1441]) ).

cnf(c_0_1441_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_1441]) ).

cnf(c_0_1441_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_1441]) ).

cnf(c_0_1442_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_1442]) ).

cnf(c_0_1442_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_1442]) ).

cnf(c_0_1442_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_1442]) ).

cnf(c_0_1442_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_1442]) ).

cnf(c_0_1443_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_1443]) ).

cnf(c_0_1443_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_1443]) ).

cnf(c_0_1443_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_1443]) ).

cnf(c_0_1443_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_1443]) ).

cnf(c_0_1444_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_1444]) ).

cnf(c_0_1444_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_1444]) ).

cnf(c_0_1444_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_1444]) ).

cnf(c_0_1444_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_1444]) ).

cnf(c_0_1445_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_1445]) ).

cnf(c_0_1445_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_1445]) ).

cnf(c_0_1445_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_1445]) ).

cnf(c_0_1445_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_1445]) ).

cnf(c_0_1446_0,axiom,
    ( c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1446]) ).

cnf(c_0_1446_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1446]) ).

cnf(c_0_1446_2,axiom,
    ( ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1446]) ).

cnf(c_0_1446_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1446]) ).

cnf(c_0_1447_0,axiom,
    ( c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1447]) ).

cnf(c_0_1447_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1447]) ).

cnf(c_0_1447_2,axiom,
    ( ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1447]) ).

cnf(c_0_1447_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1447]) ).

cnf(c_0_1448_0,axiom,
    ( c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1448]) ).

cnf(c_0_1448_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1448]) ).

cnf(c_0_1448_2,axiom,
    ( ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1448]) ).

cnf(c_0_1448_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1448]) ).

cnf(c_0_1449_0,axiom,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1449]) ).

cnf(c_0_1449_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1449]) ).

cnf(c_0_1449_2,axiom,
    ( ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1449]) ).

cnf(c_0_1449_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1449]) ).

cnf(c_0_1450_0,axiom,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1450]) ).

cnf(c_0_1450_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1450]) ).

cnf(c_0_1450_2,axiom,
    ( ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1450]) ).

cnf(c_0_1450_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1450]) ).

cnf(c_0_1451_0,axiom,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1451]) ).

cnf(c_0_1451_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1451]) ).

cnf(c_0_1451_2,axiom,
    ( ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1451]) ).

cnf(c_0_1451_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1451]) ).

cnf(c_0_1452_0,axiom,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1452]) ).

cnf(c_0_1452_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1452]) ).

cnf(c_0_1453_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,X2,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1453]) ).

cnf(c_0_1453_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
    | c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1453]) ).

cnf(c_0_1454_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_1454]) ).

cnf(c_0_1454_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_1454]) ).

cnf(c_0_1455_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_1455]) ).

cnf(c_0_1455_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_1455]) ).

cnf(c_0_1456_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_1456]) ).

cnf(c_0_1456_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_1456]) ).

cnf(c_0_1457_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_1457]) ).

cnf(c_0_1457_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_1457]) ).

cnf(c_0_1458_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1458]) ).

cnf(c_0_1458_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1458]) ).

cnf(c_0_1459_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1459]) ).

cnf(c_0_1459_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1459]) ).

cnf(c_0_1460_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1460]) ).

cnf(c_0_1460_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1460]) ).

cnf(c_0_1461_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1461]) ).

cnf(c_0_1461_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X4)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1461]) ).

cnf(c_0_1462_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Oab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1462]) ).

cnf(c_0_1462_1,axiom,
    ( ~ class_OrderedGroup_Oab__semigroup__add(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1462]) ).

cnf(c_0_1463_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1463]) ).

cnf(c_0_1463_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1463]) ).

cnf(c_0_1464_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1464]) ).

cnf(c_0_1464_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1464]) ).

cnf(c_0_1465_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1465]) ).

cnf(c_0_1465_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1465]) ).

cnf(c_0_1466_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1466]) ).

cnf(c_0_1466_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1466]) ).

cnf(c_0_1467_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_1467]) ).

cnf(c_0_1467_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_1467]) ).

cnf(c_0_1468_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_1468]) ).

cnf(c_0_1468_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_1468]) ).

cnf(c_0_1469_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_1469]) ).

cnf(c_0_1469_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_1469]) ).

cnf(c_0_1470_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_1470]) ).

cnf(c_0_1470_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_1470]) ).

cnf(c_0_1471_0,axiom,
    ( c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4) = c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X1,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1471]) ).

cnf(c_0_1471_1,axiom,
    ( ~ class_Orderings_Olinorder(X4)
    | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4) = c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1471]) ).

cnf(c_0_1472_0,axiom,
    ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1472]) ).

cnf(c_0_1472_1,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1472]) ).

cnf(c_0_1473_0,axiom,
    ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1473]) ).

cnf(c_0_1473_1,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1473]) ).

cnf(c_0_1474_0,axiom,
    ( c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4) = c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X1,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1474]) ).

cnf(c_0_1474_1,axiom,
    ( ~ class_Orderings_Olinorder(X4)
    | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4) = c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1474]) ).

cnf(c_0_1475_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_1475]) ).

cnf(c_0_1475_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_1475]) ).

cnf(c_0_1475_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_1475]) ).

cnf(c_0_1475_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_1475]) ).

cnf(c_0_1476_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_1476]) ).

cnf(c_0_1476_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_1476]) ).

cnf(c_0_1476_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_1476]) ).

cnf(c_0_1476_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_1476]) ).

cnf(c_0_1477_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_1477]) ).

cnf(c_0_1477_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_1477]) ).

cnf(c_0_1477_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_1477]) ).

cnf(c_0_1477_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_1477]) ).

cnf(c_0_1478_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_1478]) ).

cnf(c_0_1478_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_1478]) ).

cnf(c_0_1478_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_1478]) ).

cnf(c_0_1478_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_1478]) ).

cnf(c_0_1479_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1479]) ).

cnf(c_0_1479_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1479]) ).

cnf(c_0_1479_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1479]) ).

cnf(c_0_1480_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1480]) ).

cnf(c_0_1480_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1480]) ).

cnf(c_0_1480_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1480]) ).

cnf(c_0_1481_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X3,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1481]) ).

cnf(c_0_1481_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(X1,X3,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1481]) ).

cnf(c_0_1481_2,axiom,
    ( ~ class_Orderings_Olinorder(X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1481]) ).

cnf(c_0_1482_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1482]) ).

cnf(c_0_1482_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(X1,X2,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1482]) ).

cnf(c_0_1482_2,axiom,
    ( ~ class_Orderings_Olinorder(X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1482]) ).

cnf(c_0_1483_0,axiom,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1483]) ).

cnf(c_0_1483_1,axiom,
    ( ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1483]) ).

cnf(c_0_1483_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | c_lessequals(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1483]) ).

cnf(c_0_1484_0,axiom,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1484]) ).

cnf(c_0_1484_1,axiom,
    ( ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | c_lessequals(X1,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1484]) ).

cnf(c_0_1484_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | c_lessequals(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1484]) ).

cnf(c_0_1485_0,axiom,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1485]) ).

cnf(c_0_1485_1,axiom,
    ( ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1485]) ).

cnf(c_0_1485_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | c_lessequals(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1485]) ).

cnf(c_0_1486_0,axiom,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1486]) ).

cnf(c_0_1486_1,axiom,
    ( ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | c_lessequals(X1,X4,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1486]) ).

cnf(c_0_1486_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
    | c_lessequals(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1486]) ).

cnf(c_0_1487_0,axiom,
    ( c_lessequals(X1,X3,X4)
    | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1487]) ).

cnf(c_0_1487_1,axiom,
    ( ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | c_lessequals(X1,X3,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1487]) ).

cnf(c_0_1487_2,axiom,
    ( ~ class_Orderings_Olinorder(X4)
    | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | c_lessequals(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1487]) ).

cnf(c_0_1488_0,axiom,
    ( c_lessequals(X1,X2,X4)
    | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1488]) ).

cnf(c_0_1488_1,axiom,
    ( ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | c_lessequals(X1,X2,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1488]) ).

cnf(c_0_1488_2,axiom,
    ( ~ class_Orderings_Olinorder(X4)
    | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | c_lessequals(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1488]) ).

cnf(c_0_1489_0,axiom,
    ( c_lessequals(X1,X3,X4)
    | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1489]) ).

cnf(c_0_1489_1,axiom,
    ( ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | c_lessequals(X1,X3,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1489]) ).

cnf(c_0_1489_2,axiom,
    ( ~ class_Orderings_Olinorder(X4)
    | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | c_lessequals(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1489]) ).

cnf(c_0_1490_0,axiom,
    ( c_lessequals(X1,X2,X4)
    | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1490]) ).

cnf(c_0_1490_1,axiom,
    ( ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | c_lessequals(X1,X2,X4)
    | ~ class_Orderings_Olinorder(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1490]) ).

cnf(c_0_1490_2,axiom,
    ( ~ class_Orderings_Olinorder(X4)
    | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
    | c_lessequals(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1490]) ).

cnf(c_0_1491_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_1491]) ).

cnf(c_0_1491_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_1491]) ).

cnf(c_0_1491_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_1491]) ).

cnf(c_0_1492_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_1492]) ).

cnf(c_0_1492_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_1492]) ).

cnf(c_0_1492_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_1492]) ).

cnf(c_0_1493_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_1493]) ).

cnf(c_0_1493_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_1493]) ).

cnf(c_0_1493_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_1493]) ).

cnf(c_0_1494_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_1494]) ).

cnf(c_0_1494_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_1494]) ).

cnf(c_0_1494_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_1494]) ).

cnf(c_0_1495_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_1495]) ).

cnf(c_0_1495_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_1495]) ).

cnf(c_0_1495_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_1495]) ).

cnf(c_0_1496_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_1496]) ).

cnf(c_0_1496_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_1496]) ).

cnf(c_0_1496_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_1496]) ).

cnf(c_0_1497_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_1497]) ).

cnf(c_0_1497_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_1497]) ).

cnf(c_0_1497_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_1497]) ).

cnf(c_0_1498_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_1498]) ).

cnf(c_0_1498_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_1498]) ).

cnf(c_0_1498_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_1498]) ).

cnf(c_0_1499_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1499]) ).

cnf(c_0_1499_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1499]) ).

cnf(c_0_1499_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1499]) ).

cnf(c_0_1499_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1499]) ).

cnf(c_0_1500_0,axiom,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1500]) ).

cnf(c_0_1500_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1500]) ).

cnf(c_0_1500_2,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1500]) ).

cnf(c_0_1500_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1500]) ).

cnf(c_0_1501_0,axiom,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1501]) ).

cnf(c_0_1501_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1501]) ).

cnf(c_0_1501_2,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1501]) ).

cnf(c_0_1501_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1501]) ).

cnf(c_0_1502_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1502]) ).

cnf(c_0_1502_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
    | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1502]) ).

cnf(c_0_1503_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1503]) ).

cnf(c_0_1503_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
    | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1503]) ).

cnf(c_0_1504_0,axiom,
    ( X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) != X4
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1504]) ).

cnf(c_0_1504_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) != X4
    | X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1504]) ).

cnf(c_0_1504_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) != X4
    | X1 = c_HOL_Ouminus__class_Ouminus(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1504]) ).

cnf(c_0_1505_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1505]) ).

cnf(c_0_1505_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1505]) ).

cnf(c_0_1505_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1505]) ).

cnf(c_0_1506_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1506]) ).

cnf(c_0_1506_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1506]) ).

cnf(c_0_1506_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1506]) ).

cnf(c_0_1507_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1507]) ).

cnf(c_0_1507_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1507]) ).

cnf(c_0_1507_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1507]) ).

cnf(c_0_1508_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1508]) ).

cnf(c_0_1508_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1508]) ).

cnf(c_0_1508_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1508]) ).

cnf(c_0_1509_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1509]) ).

cnf(c_0_1509_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1509]) ).

cnf(c_0_1509_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1509]) ).

cnf(c_0_1510_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1510]) ).

cnf(c_0_1510_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1510]) ).

cnf(c_0_1510_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1510]) ).

cnf(c_0_1511_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1511]) ).

cnf(c_0_1511_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1511]) ).

cnf(c_0_1511_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1511]) ).

cnf(c_0_1512_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1512]) ).

cnf(c_0_1512_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1512]) ).

cnf(c_0_1512_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1512]) ).

cnf(c_0_1513_0,axiom,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1513]) ).

cnf(c_0_1513_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1513]) ).

cnf(c_0_1513_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1513]) ).

cnf(c_0_1514_0,axiom,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1514]) ).

cnf(c_0_1514_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1514]) ).

cnf(c_0_1514_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1514]) ).

cnf(c_0_1515_0,axiom,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1515]) ).

cnf(c_0_1515_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1515]) ).

cnf(c_0_1515_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1515]) ).

cnf(c_0_1516_0,axiom,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1516]) ).

cnf(c_0_1516_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1516]) ).

cnf(c_0_1516_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1516]) ).

cnf(c_0_1517_0,axiom,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1517]) ).

cnf(c_0_1517_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1517]) ).

cnf(c_0_1517_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1517]) ).

cnf(c_0_1518_0,axiom,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1518]) ).

cnf(c_0_1518_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1518]) ).

cnf(c_0_1518_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1518]) ).

cnf(c_0_1519_0,axiom,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1519]) ).

cnf(c_0_1519_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1519]) ).

cnf(c_0_1519_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1519]) ).

cnf(c_0_1520_0,axiom,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1520]) ).

cnf(c_0_1520_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1520]) ).

cnf(c_0_1520_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1520]) ).

cnf(c_0_1521_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_1521]) ).

cnf(c_0_1521_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_1521]) ).

cnf(c_0_1521_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_1521]) ).

cnf(c_0_1522_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_1522]) ).

cnf(c_0_1522_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_1522]) ).

cnf(c_0_1522_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_1522]) ).

cnf(c_0_1523_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_1523]) ).

cnf(c_0_1523_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_1523]) ).

cnf(c_0_1523_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_1523]) ).

cnf(c_0_1524_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_1524]) ).

cnf(c_0_1524_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_1524]) ).

cnf(c_0_1524_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_1524]) ).

cnf(c_0_1525_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_1525]) ).

cnf(c_0_1525_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_1525]) ).

cnf(c_0_1525_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_1525]) ).

cnf(c_0_1526_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_1526]) ).

cnf(c_0_1526_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_1526]) ).

cnf(c_0_1526_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_1526]) ).

cnf(c_0_1527_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_1527]) ).

cnf(c_0_1527_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_1527]) ).

cnf(c_0_1527_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_1527]) ).

cnf(c_0_1528_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_1528]) ).

cnf(c_0_1528_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_1528]) ).

cnf(c_0_1528_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_1528]) ).

cnf(c_0_1529_0,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1529]) ).

cnf(c_0_1529_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1529]) ).

cnf(c_0_1530_0,axiom,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1530]) ).

cnf(c_0_1530_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
    | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1530]) ).

cnf(c_0_1531_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_1531]) ).

cnf(c_0_1531_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_1531]) ).

cnf(c_0_1531_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_1531]) ).

cnf(c_0_1531_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_1531]) ).

cnf(c_0_1532_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_1532]) ).

cnf(c_0_1532_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_1532]) ).

cnf(c_0_1532_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_1532]) ).

cnf(c_0_1532_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_1532]) ).

cnf(c_0_1533_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_1533]) ).

cnf(c_0_1533_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_1533]) ).

cnf(c_0_1533_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_1533]) ).

cnf(c_0_1533_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_1533]) ).

cnf(c_0_1534_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_1534]) ).

cnf(c_0_1534_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_1534]) ).

cnf(c_0_1534_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_1534]) ).

cnf(c_0_1534_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_1534]) ).

cnf(c_0_1535_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_1535]) ).

cnf(c_0_1535_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_1535]) ).

cnf(c_0_1535_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_1535]) ).

cnf(c_0_1535_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_1535]) ).

cnf(c_0_1536_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_1536]) ).

cnf(c_0_1536_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_1536]) ).

cnf(c_0_1536_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_1536]) ).

cnf(c_0_1536_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_1536]) ).

cnf(c_0_1537_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_1537]) ).

cnf(c_0_1537_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_1537]) ).

cnf(c_0_1537_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_1537]) ).

cnf(c_0_1537_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_1537]) ).

cnf(c_0_1538_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_1538]) ).

cnf(c_0_1538_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_1538]) ).

cnf(c_0_1538_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_1538]) ).

cnf(c_0_1538_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_1538]) ).

cnf(c_0_1539_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1539]) ).

cnf(c_0_1539_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1539]) ).

cnf(c_0_1540_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1540]) ).

cnf(c_0_1540_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X3)
    | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1540]) ).

cnf(c_0_1541_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1541]) ).

cnf(c_0_1541_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1541]) ).

cnf(c_0_1542_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1542]) ).

cnf(c_0_1542_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1542]) ).

cnf(c_0_1543_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1543]) ).

cnf(c_0_1543_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X2)
    | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1543]) ).

cnf(c_0_1544_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1544]) ).

cnf(c_0_1544_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1544]) ).

cnf(c_0_1545_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1545]) ).

cnf(c_0_1545_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1545]) ).

cnf(c_0_1546_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1546]) ).

cnf(c_0_1546_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1546]) ).

cnf(c_0_1546_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | c_HOL_Oord__class_Oless(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1546]) ).

cnf(c_0_1547_0,axiom,
    ( c_lessequals(X3,X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1547]) ).

cnf(c_0_1547_1,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | c_lessequals(X3,X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1547]) ).

cnf(c_0_1547_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | c_lessequals(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1547]) ).

cnf(c_0_1548_0,axiom,
    ( c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X2,X3),X3) = c_Orderings_Oord__class_Omin(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1548]) ).

cnf(c_0_1548_1,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X2,X3),X3) = c_Orderings_Oord__class_Omin(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1548]) ).

cnf(c_0_1549_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_1549]) ).

cnf(c_0_1549_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_1549]) ).

cnf(c_0_1550_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_1550]) ).

cnf(c_0_1550_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_1550]) ).

cnf(c_0_1551_0,axiom,
    ( c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3) = c_Orderings_Oord__class_Omax(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1551]) ).

cnf(c_0_1551_1,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3) = c_Orderings_Oord__class_Omax(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1551]) ).

cnf(c_0_1552_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_1552]) ).

cnf(c_0_1552_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_1552]) ).

cnf(c_0_1553_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_1553]) ).

cnf(c_0_1553_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_1553]) ).

cnf(c_0_1554_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2) = X3
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1554]) ).

cnf(c_0_1554_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1554]) ).

cnf(c_0_1555_0,axiom,
    ( c_lessequals(X1,X3,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1555]) ).

cnf(c_0_1555_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(X1,X3,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1555]) ).

cnf(c_0_1555_2,axiom,
    ( ~ c_lessequals(X2,X3,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(X1,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1555]) ).

cnf(c_0_1556_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1556]) ).

cnf(c_0_1556_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1556]) ).

cnf(c_0_1556_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1556]) ).

cnf(c_0_1557_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1557]) ).

cnf(c_0_1557_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1557]) ).

cnf(c_0_1557_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1557]) ).

cnf(c_0_1558_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1558]) ).

cnf(c_0_1558_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1558]) ).

cnf(c_0_1558_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1558]) ).

cnf(c_0_1559_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1559]) ).

cnf(c_0_1559_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1559]) ).

cnf(c_0_1559_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1559]) ).

cnf(c_0_1560_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1560]) ).

cnf(c_0_1560_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1560]) ).

cnf(c_0_1560_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1560]) ).

cnf(c_0_1561_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1561]) ).

cnf(c_0_1561_1,axiom,
    ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1561]) ).

cnf(c_0_1561_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1561]) ).

cnf(c_0_1562_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1562]) ).

cnf(c_0_1562_1,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1562]) ).

cnf(c_0_1562_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1562]) ).

cnf(c_0_1563_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1563]) ).

cnf(c_0_1563_1,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1563]) ).

cnf(c_0_1563_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1563]) ).

cnf(c_0_1564_0,axiom,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1564]) ).

cnf(c_0_1564_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1564]) ).

cnf(c_0_1564_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1564]) ).

cnf(c_0_1565_0,axiom,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1565]) ).

cnf(c_0_1565_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1565]) ).

cnf(c_0_1565_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1565]) ).

cnf(c_0_1566_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1566]) ).

cnf(c_0_1566_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1566]) ).

cnf(c_0_1567_0,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1567]) ).

cnf(c_0_1567_1,axiom,
    ( ~ c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1567]) ).

cnf(c_0_1568_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(X1,X2) = X3
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1568]) ).

cnf(c_0_1568_1,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
    | c_HOL_Ouminus__class_Ouminus(X1,X2) = X3
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1568]) ).

cnf(c_0_1568_2,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Otop__class_Otop(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
    | c_HOL_Ouminus__class_Ouminus(X1,X2) = X3
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1568]) ).

cnf(c_0_1568_3,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X2) != c_Orderings_Otop__class_Otop(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X2) != c_Orderings_Obot__class_Obot(X2)
    | c_HOL_Ouminus__class_Ouminus(X1,X2) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1568]) ).

cnf(c_0_1569_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_1569]) ).

cnf(c_0_1569_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_1569]) ).

cnf(c_0_1569_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_1569]) ).

cnf(c_0_1569_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_1569]) ).

cnf(c_0_1570_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1570]) ).

cnf(c_0_1570_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1570]) ).

cnf(c_0_1570_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1570]) ).

cnf(c_0_1571_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1571]) ).

cnf(c_0_1571_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1571]) ).

cnf(c_0_1571_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1571]) ).

cnf(c_0_1572_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) = X3
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1572]) ).

cnf(c_0_1572_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1572]) ).

cnf(c_0_1573_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2) = X3
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1573]) ).

cnf(c_0_1573_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1573]) ).

cnf(c_0_1574_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X3,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1574]) ).

cnf(c_0_1574_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(X1,X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1574]) ).

cnf(c_0_1574_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1574]) ).

cnf(c_0_1575_0,axiom,
    ( c_lessequals(X1,X3,X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1575]) ).

cnf(c_0_1575_1,axiom,
    ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_lessequals(X1,X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1575]) ).

cnf(c_0_1575_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_lessequals(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1575]) ).

cnf(c_0_1576_0,axiom,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_Int_Onumber__ring(X4)
    | ~ class_Ring__and__Field_Oidom(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1576]) ).

cnf(c_0_1576_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | X1 = X2
    | ~ class_Int_Onumber__ring(X4)
    | ~ class_Ring__and__Field_Oidom(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1576]) ).

cnf(c_0_1576_2,axiom,
    ( ~ class_Int_Onumber__ring(X4)
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | X1 = X2
    | ~ class_Ring__and__Field_Oidom(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1576]) ).

cnf(c_0_1576_3,axiom,
    ( ~ class_Ring__and__Field_Oidom(X4)
    | ~ class_Int_Onumber__ring(X4)
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1576]) ).

cnf(c_0_1577_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1577]) ).

cnf(c_0_1577_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1577]) ).

cnf(c_0_1578_0,axiom,
    ( c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1578]) ).

cnf(c_0_1578_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1578]) ).

cnf(c_0_1579_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1579]) ).

cnf(c_0_1579_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Ominus__class_Ominus(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1579]) ).

cnf(c_0_1580_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_1580]) ).

cnf(c_0_1580_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_1580]) ).

cnf(c_0_1580_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_1580]) ).

cnf(c_0_1580_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_1580]) ).

cnf(c_0_1581_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_1581]) ).

cnf(c_0_1581_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_1581]) ).

cnf(c_0_1581_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_1581]) ).

cnf(c_0_1581_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_1581]) ).

cnf(c_0_1582_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_1582]) ).

cnf(c_0_1582_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_1582]) ).

cnf(c_0_1582_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_1582]) ).

cnf(c_0_1582_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_1582]) ).

cnf(c_0_1583_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_1583]) ).

cnf(c_0_1583_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_1583]) ).

cnf(c_0_1583_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_1583]) ).

cnf(c_0_1584_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_1584]) ).

cnf(c_0_1584_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_1584]) ).

cnf(c_0_1584_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_1584]) ).

cnf(c_0_1585_0,axiom,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1585]) ).

cnf(c_0_1585_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | X1 = X2
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1585]) ).

cnf(c_0_1585_2,axiom,
    ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X4)
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1585]) ).

cnf(c_0_1586_0,axiom,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1586]) ).

cnf(c_0_1586_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | X1 = X2
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1586]) ).

cnf(c_0_1586_2,axiom,
    ( ~ class_OrderedGroup_Ocancel__semigroup__add(X4)
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1586]) ).

cnf(c_0_1587_0,axiom,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X1,X3,X4) != c_HOL_Oplus__class_Oplus(X2,X3,X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1587]) ).

cnf(c_0_1587_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X3,X4) != c_HOL_Oplus__class_Oplus(X2,X3,X4)
    | X1 = X2
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1587]) ).

cnf(c_0_1587_2,axiom,
    ( ~ class_OrderedGroup_Ocancel__semigroup__add(X4)
    | c_HOL_Oplus__class_Oplus(X1,X3,X4) != c_HOL_Oplus__class_Oplus(X2,X3,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1587]) ).

cnf(c_0_1588_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_1588]) ).

cnf(c_0_1588_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_1588]) ).

cnf(c_0_1588_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_1588]) ).

cnf(c_0_1589_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_1589]) ).

cnf(c_0_1589_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_1589]) ).

cnf(c_0_1589_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_1589]) ).

cnf(c_0_1590_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_1590]) ).

cnf(c_0_1590_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_1590]) ).

cnf(c_0_1590_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_1590]) ).

cnf(c_0_1591_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_1591]) ).

cnf(c_0_1591_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_1591]) ).

cnf(c_0_1591_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_1591]) ).

cnf(c_0_1592_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_1592]) ).

cnf(c_0_1592_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_1592]) ).

cnf(c_0_1592_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_1592]) ).

cnf(c_0_1593_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_1593]) ).

cnf(c_0_1593_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_1593]) ).

cnf(c_0_1593_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_1593]) ).

cnf(c_0_1594_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_1594]) ).

cnf(c_0_1594_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_1594]) ).

cnf(c_0_1594_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_1594]) ).

cnf(c_0_1595_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_1595]) ).

cnf(c_0_1595_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_1595]) ).

cnf(c_0_1595_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_1595]) ).

cnf(c_0_1596_0,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1596]) ).

cnf(c_0_1596_1,axiom,
    ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1596]) ).

cnf(c_0_1597_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1597]) ).

cnf(c_0_1597_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | X1 = X2
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1597]) ).

cnf(c_0_1597_2,axiom,
    ( ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1597]) ).

cnf(c_0_1598_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3) = X1
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1598]) ).

cnf(c_0_1598_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1598]) ).

cnf(c_0_1599_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_1599]) ).

cnf(c_0_1599_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_1599]) ).

cnf(c_0_1600_0,axiom,
    ( c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3) = X1
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1600]) ).

cnf(c_0_1600_1,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1600]) ).

cnf(c_0_1601_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = X1
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1601]) ).

cnf(c_0_1601_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1601]) ).

cnf(c_0_1602_0,axiom,
    ( c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X2,X3),X3) = X1
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1602]) ).

cnf(c_0_1602_1,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X2,X3),X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1602]) ).

cnf(c_0_1603_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_1603]) ).

cnf(c_0_1603_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_1603]) ).

cnf(c_0_1604_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_1604]) ).

cnf(c_0_1604_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_1604]) ).

cnf(c_0_1605_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_1605]) ).

cnf(c_0_1605_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_1605]) ).

cnf(c_0_1606_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_1606]) ).

cnf(c_0_1606_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_1606]) ).

cnf(c_0_1607_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_1607]) ).

cnf(c_0_1607_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_1607]) ).

cnf(c_0_1608_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_1608]) ).

cnf(c_0_1608_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_1608]) ).

cnf(c_0_1609_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_1609]) ).

cnf(c_0_1609_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_1609]) ).

cnf(c_0_1610_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_1610]) ).

cnf(c_0_1610_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_1610]) ).

cnf(c_0_1611_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_1611]) ).

cnf(c_0_1611_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_1611]) ).

cnf(c_0_1612_0,axiom,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1612]) ).

cnf(c_0_1612_1,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1612]) ).

cnf(c_0_1613_0,axiom,
    ( c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X3),X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1613]) ).

cnf(c_0_1613_1,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1613]) ).

cnf(c_0_1614_0,axiom,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1614]) ).

cnf(c_0_1614_1,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1614]) ).

cnf(c_0_1615_0,axiom,
    ( c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1615]) ).

cnf(c_0_1615_1,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1615]) ).

cnf(c_0_1616_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1616]) ).

cnf(c_0_1616_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1616]) ).

cnf(c_0_1617_0,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1617]) ).

cnf(c_0_1617_1,axiom,
    ( ~ c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
    | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1617]) ).

cnf(c_0_1618_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_1618]) ).

cnf(c_0_1618_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_1618]) ).

cnf(c_0_1618_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_1618]) ).

cnf(c_0_1618_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_1618]) ).

cnf(c_0_1619_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_1619]) ).

cnf(c_0_1619_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_1619]) ).

cnf(c_0_1619_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_1619]) ).

cnf(c_0_1619_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_1619]) ).

cnf(c_0_1620_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_1620]) ).

cnf(c_0_1620_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_1620]) ).

cnf(c_0_1620_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_1620]) ).

cnf(c_0_1620_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_1620]) ).

cnf(c_0_1621_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_1621]) ).

cnf(c_0_1621_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_1621]) ).

cnf(c_0_1621_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_1621]) ).

cnf(c_0_1621_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_1621]) ).

cnf(c_0_1622_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_1622]) ).

cnf(c_0_1622_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_1622]) ).

cnf(c_0_1622_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_1622]) ).

cnf(c_0_1622_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_1622]) ).

cnf(c_0_1623_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_1623]) ).

cnf(c_0_1623_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_1623]) ).

cnf(c_0_1623_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_1623]) ).

cnf(c_0_1623_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_1623]) ).

cnf(c_0_1624_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_1624]) ).

cnf(c_0_1624_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_1624]) ).

cnf(c_0_1624_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_1624]) ).

cnf(c_0_1624_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_1624]) ).

cnf(c_0_1625_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_1625]) ).

cnf(c_0_1625_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_1625]) ).

cnf(c_0_1625_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_1625]) ).

cnf(c_0_1625_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_1625]) ).

cnf(c_0_1626_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_1626]) ).

cnf(c_0_1626_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_1626]) ).

cnf(c_0_1626_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_1626]) ).

cnf(c_0_1627_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_Orderings_Oord__class_Omax(X1,X2,X3) != X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1627]) ).

cnf(c_0_1627_1,axiom,
    ( c_Orderings_Oord__class_Omax(X1,X2,X3) != X2
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1627]) ).

cnf(c_0_1627_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_Orderings_Oord__class_Omax(X1,X2,X3) != X2
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1627]) ).

cnf(c_0_1628_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_Orderings_Oord__class_Omin(X1,X2,X3) != X1
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1628]) ).

cnf(c_0_1628_1,axiom,
    ( c_Orderings_Oord__class_Omin(X1,X2,X3) != X1
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1628]) ).

cnf(c_0_1628_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_Orderings_Oord__class_Omin(X1,X2,X3) != X1
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1628]) ).

cnf(c_0_1629_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_1629]) ).

cnf(c_0_1629_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_1629]) ).

cnf(c_0_1629_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_1629]) ).

cnf(c_0_1630_0,axiom,
    ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1630]) ).

cnf(c_0_1630_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1630]) ).

cnf(c_0_1631_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1631]) ).

cnf(c_0_1631_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1631]) ).

cnf(c_0_1632_0,axiom,
    ( c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1632]) ).

cnf(c_0_1632_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1632]) ).

cnf(c_0_1633_0,axiom,
    ( c_lessequals(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1633]) ).

cnf(c_0_1633_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1633]) ).

cnf(c_0_1634_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_1634]) ).

cnf(c_0_1634_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_1634]) ).

cnf(c_0_1634_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_1634]) ).

cnf(c_0_1635_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_1635]) ).

cnf(c_0_1635_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_1635]) ).

cnf(c_0_1635_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_1635]) ).

cnf(c_0_1636_0,axiom,
    ( c_Orderings_Oord__class_Omax(X2,X1,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1636]) ).

cnf(c_0_1636_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_Orderings_Oord__class_Omax(X2,X1,X3) = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1636]) ).

cnf(c_0_1636_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_Orderings_Oord__class_Omax(X2,X1,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1636]) ).

cnf(c_0_1637_0,axiom,
    ( c_Orderings_Oord__class_Omax(X1,X2,X3) = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1637]) ).

cnf(c_0_1637_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_Orderings_Oord__class_Omax(X1,X2,X3) = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1637]) ).

cnf(c_0_1637_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_Orderings_Oord__class_Omax(X1,X2,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1637]) ).

cnf(c_0_1638_0,axiom,
    ( c_Orderings_Oord__class_Omin(X2,X1,X3) = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1638]) ).

cnf(c_0_1638_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_Orderings_Oord__class_Omin(X2,X1,X3) = X1
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1638]) ).

cnf(c_0_1638_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_Orderings_Oord__class_Omin(X2,X1,X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1638]) ).

cnf(c_0_1639_0,axiom,
    ( c_Orderings_Oord__class_Omin(X1,X2,X3) = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1639]) ).

cnf(c_0_1639_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_Orderings_Oord__class_Omin(X1,X2,X3) = X1
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1639]) ).

cnf(c_0_1639_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_Orderings_Oord__class_Omin(X1,X2,X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1639]) ).

cnf(c_0_1640_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_1640]) ).

cnf(c_0_1640_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_1640]) ).

cnf(c_0_1640_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_1640]) ).

cnf(c_0_1641_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_1641]) ).

cnf(c_0_1641_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_1641]) ).

cnf(c_0_1641_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_1641]) ).

cnf(c_0_1642_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_1642]) ).

cnf(c_0_1642_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_1642]) ).

cnf(c_0_1642_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_1642]) ).

cnf(c_0_1643_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_1643]) ).

cnf(c_0_1643_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_1643]) ).

cnf(c_0_1643_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_1643]) ).

cnf(c_0_1644_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1644]) ).

cnf(c_0_1644_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X3)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1644]) ).

cnf(c_0_1645_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1645]) ).

cnf(c_0_1645_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1645]) ).

cnf(c_0_1646_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1646]) ).

cnf(c_0_1646_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1646]) ).

cnf(c_0_1647_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_Int_Onumber__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1647]) ).

cnf(c_0_1647_1,axiom,
    ( ~ class_Int_Onumber__ring(X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1647]) ).

cnf(c_0_1648_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1648]) ).

cnf(c_0_1648_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1648]) ).

cnf(c_0_1649_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1649]) ).

cnf(c_0_1649_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1649]) ).

cnf(c_0_1650_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1650]) ).

cnf(c_0_1650_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1650]) ).

cnf(c_0_1650_2,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1650]) ).

cnf(c_0_1651_0,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1651]) ).

cnf(c_0_1651_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1651]) ).

cnf(c_0_1652_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_1652]) ).

cnf(c_0_1652_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_1652]) ).

cnf(c_0_1652_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_1652]) ).

cnf(c_0_1652_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_1652]) ).

cnf(c_0_1653_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_1653]) ).

cnf(c_0_1653_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_1653]) ).

cnf(c_0_1653_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_1653]) ).

cnf(c_0_1653_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_1653]) ).

cnf(c_0_1654_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_1654]) ).

cnf(c_0_1654_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_1654]) ).

cnf(c_0_1654_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_1654]) ).

cnf(c_0_1654_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_1654]) ).

cnf(c_0_1655_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_1655]) ).

cnf(c_0_1655_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_1655]) ).

cnf(c_0_1655_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_1655]) ).

cnf(c_0_1655_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_1655]) ).

cnf(c_0_1656_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_1656]) ).

cnf(c_0_1656_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_1656]) ).

cnf(c_0_1656_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_1656]) ).

cnf(c_0_1656_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_1656]) ).

cnf(c_0_1657_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_1657]) ).

cnf(c_0_1657_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_1657]) ).

cnf(c_0_1657_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_1657]) ).

cnf(c_0_1658_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_1658]) ).

cnf(c_0_1658_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_1658]) ).

cnf(c_0_1658_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_1658]) ).

cnf(c_0_1659_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_1659]) ).

cnf(c_0_1659_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_1659]) ).

cnf(c_0_1659_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_1659]) ).

cnf(c_0_1660_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_1660]) ).

cnf(c_0_1660_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_1660]) ).

cnf(c_0_1660_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_1660]) ).

cnf(c_0_1661_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1661]) ).

cnf(c_0_1661_1,axiom,
    ( c_lessequals(X2,X1,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1661]) ).

cnf(c_0_1661_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X2,X1,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1661]) ).

cnf(c_0_1662_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_1662]) ).

cnf(c_0_1662_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_1662]) ).

cnf(c_0_1663_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_1663]) ).

cnf(c_0_1663_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_1663]) ).

cnf(c_0_1664_0,axiom,
    ( c_Orderings_Oord__class_Omin(X1,X2,X3) = c_Orderings_Oord__class_Omin(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1664]) ).

cnf(c_0_1664_1,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_Orderings_Oord__class_Omin(X1,X2,X3) = c_Orderings_Oord__class_Omin(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1664]) ).

cnf(c_0_1665_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_1665]) ).

cnf(c_0_1665_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_1665]) ).

cnf(c_0_1666_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_1666]) ).

cnf(c_0_1666_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_1666]) ).

cnf(c_0_1667_0,axiom,
    ( c_Orderings_Oord__class_Omax(X1,X2,X3) = c_Orderings_Oord__class_Omax(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1667]) ).

cnf(c_0_1667_1,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_Orderings_Oord__class_Omax(X1,X2,X3) = c_Orderings_Oord__class_Omax(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1667]) ).

cnf(c_0_1668_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1668]) ).

cnf(c_0_1668_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1668]) ).

cnf(c_0_1669_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1669]) ).

cnf(c_0_1669_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1669]) ).

cnf(c_0_1670_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1670]) ).

cnf(c_0_1670_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
    | c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1670]) ).

cnf(c_0_1671_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1671]) ).

cnf(c_0_1671_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1671]) ).

cnf(c_0_1672_0,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1672]) ).

cnf(c_0_1672_1,axiom,
    ( c_lessequals(X2,X1,tc_RealDef_Oreal)
    | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1672]) ).

cnf(c_0_1673_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_1673]) ).

cnf(c_0_1673_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_1673]) ).

cnf(c_0_1673_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_1673]) ).

cnf(c_0_1674_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_1674]) ).

cnf(c_0_1674_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_1674]) ).

cnf(c_0_1674_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_1674]) ).

cnf(c_0_1675_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_1675]) ).

cnf(c_0_1675_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_1675]) ).

cnf(c_0_1675_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_1675]) ).

cnf(c_0_1676_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_1676]) ).

cnf(c_0_1676_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_1676]) ).

cnf(c_0_1676_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_1676]) ).

cnf(c_0_1677_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1677]) ).

cnf(c_0_1677_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1677]) ).

cnf(c_0_1678_0,axiom,
    ( c_lessequals(X1,v_L____,tc_RealDef_Oreal)
    | ~ hBOOL(hAPP(v_P,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1678]) ).

cnf(c_0_1678_1,axiom,
    ( ~ hBOOL(hAPP(v_P,X1))
    | c_lessequals(X1,v_L____,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1678]) ).

cnf(c_0_1679_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,v_Y____,tc_RealDef_Oreal)
    | ~ hBOOL(hAPP(v_P,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1679]) ).

cnf(c_0_1679_1,axiom,
    ( ~ hBOOL(hAPP(v_P,X1))
    | c_HOL_Oord__class_Oless(X1,v_Y____,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1679]) ).

cnf(c_0_1680_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,v_Y____,tc_RealDef_Oreal)
    | ~ hBOOL(hAPP(v_P,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1680]) ).

cnf(c_0_1680_1,axiom,
    ( ~ hBOOL(hAPP(v_P,X1))
    | c_HOL_Oord__class_Oless(X1,v_Y____,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1680]) ).

cnf(c_0_1681_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1681]) ).

cnf(c_0_1681_1,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1681]) ).

cnf(c_0_1682_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1682]) ).

cnf(c_0_1682_1,axiom,
    ( ~ class_Orderings_Oorder(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1682]) ).

cnf(c_0_1683_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1683]) ).

cnf(c_0_1683_1,axiom,
    ( ~ class_Orderings_Opreorder(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1683]) ).

cnf(c_0_1684_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1684]) ).

cnf(c_0_1684_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Otop__class_Otop(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1684]) ).

cnf(c_0_1685_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Otop__class_Otop(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1685]) ).

cnf(c_0_1685_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Otop__class_Otop(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1685]) ).

cnf(c_0_1686_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1686]) ).

cnf(c_0_1686_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Obot__class_Obot(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1686]) ).

cnf(c_0_1687_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Obot__class_Obot(X2)
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1687]) ).

cnf(c_0_1687_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Obot__class_Obot(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1687]) ).

cnf(c_0_1688_0,axiom,
    ( c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1688]) ).

cnf(c_0_1688_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1688]) ).

cnf(c_0_1689_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_1689]) ).

cnf(c_0_1689_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_1689]) ).

cnf(c_0_1690_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_1690]) ).

cnf(c_0_1690_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_1690]) ).

cnf(c_0_1691_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_1691]) ).

cnf(c_0_1691_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_1691]) ).

cnf(c_0_1692_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_1692]) ).

cnf(c_0_1692_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_1692]) ).

cnf(c_0_1693_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_1693]) ).

cnf(c_0_1693_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_1693]) ).

cnf(c_0_1694_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_1694]) ).

cnf(c_0_1694_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_1694]) ).

cnf(c_0_1695_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_1695]) ).

cnf(c_0_1695_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_1695]) ).

cnf(c_0_1696_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_1696]) ).

cnf(c_0_1696_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_1696]) ).

cnf(c_0_1697_0,axiom,
    ( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
    | ~ class_Orderings_Otop(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1697]) ).

cnf(c_0_1697_1,axiom,
    ( ~ class_Orderings_Otop(X2)
    | c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1697]) ).

cnf(c_0_1698_0,axiom,
    ( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
    | ~ class_Orderings_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1698]) ).

cnf(c_0_1698_1,axiom,
    ( ~ class_Orderings_Obot(X1)
    | c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1698]) ).

cnf(c_0_1699_0,axiom,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
    | ~ class_Lattices_Oupper__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1699]) ).

cnf(c_0_1699_1,axiom,
    ( ~ class_Lattices_Oupper__semilattice(X2)
    | c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1699]) ).

cnf(c_0_1700_0,axiom,
    ( c_Orderings_Oord__class_Omin(X1,X1,X2) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1700]) ).

cnf(c_0_1700_1,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | c_Orderings_Oord__class_Omin(X1,X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1700]) ).

cnf(c_0_1701_0,axiom,
    ( c_Orderings_Oord__class_Omax(X1,X1,X2) = X1
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1701]) ).

cnf(c_0_1701_1,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | c_Orderings_Oord__class_Omax(X1,X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1701]) ).

cnf(c_0_1702_0,axiom,
    ( c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1
    | ~ class_Lattices_Olower__semilattice(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1702]) ).

cnf(c_0_1702_1,axiom,
    ( ~ class_Lattices_Olower__semilattice(X2)
    | c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1702]) ).

cnf(c_0_1703_0,axiom,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1703]) ).

cnf(c_0_1703_1,axiom,
    ( ~ class_Orderings_Oorder(X2)
    | c_lessequals(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1703]) ).

cnf(c_0_1704_0,axiom,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1704]) ).

cnf(c_0_1704_1,axiom,
    ( ~ class_Orderings_Opreorder(X2)
    | c_lessequals(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1704]) ).

cnf(c_0_1705_0,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_RealVector_Onorm__class_Onorm(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1705]) ).

cnf(c_0_1705_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_RealVector_Onorm__class_Onorm(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1705]) ).

cnf(c_0_1706_0,axiom,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1706]) ).

cnf(c_0_1706_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1706]) ).

cnf(c_0_1707_0,axiom,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1707]) ).

cnf(c_0_1707_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1707]) ).

cnf(c_0_1708_0,axiom,
    ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1708]) ).

cnf(c_0_1708_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1708]) ).

cnf(c_0_1709_0,axiom,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1709]) ).

cnf(c_0_1709_1,axiom,
    ( c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | X1 = X2
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1709]) ).

cnf(c_0_1709_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1709]) ).

cnf(c_0_1710_0,axiom,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1710]) ).

cnf(c_0_1710_1,axiom,
    ( c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | X1 = X2
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1710]) ).

cnf(c_0_1710_2,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X3)
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1710]) ).

cnf(c_0_1711_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1711]) ).

cnf(c_0_1711_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1711]) ).

cnf(c_0_1712_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1712]) ).

cnf(c_0_1712_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1712]) ).

cnf(c_0_1713_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1713]) ).

cnf(c_0_1713_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1713]) ).

cnf(c_0_1714_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1714]) ).

cnf(c_0_1714_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1714]) ).

cnf(c_0_1715_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1715]) ).

cnf(c_0_1715_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1715]) ).

cnf(c_0_1716_0,axiom,
    ( X1 = X2
    | c_Transcendental_Oexp(X1,tc_RealDef_Oreal) != c_Transcendental_Oexp(X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1716]) ).

cnf(c_0_1716_1,axiom,
    ( c_Transcendental_Oexp(X1,tc_RealDef_Oreal) != c_Transcendental_Oexp(X2,tc_RealDef_Oreal)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1716]) ).

cnf(c_0_1717_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X1),X1) = c_Orderings_Otop__class_Otop(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1717]) ).

cnf(c_0_1717_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X1)
    | c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(X1),X1) = c_Orderings_Otop__class_Otop(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1717]) ).

cnf(c_0_1718_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X1),X1) = c_Orderings_Obot__class_Obot(X1)
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1718]) ).

cnf(c_0_1718_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X1)
    | c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(X1),X1) = c_Orderings_Obot__class_Obot(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1718]) ).

cnf(c_0_1719_0,axiom,
    ( X1 = X2
    | c_NthRoot_Osqrt(X1) != c_NthRoot_Osqrt(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1719]) ).

cnf(c_0_1719_1,axiom,
    ( c_NthRoot_Osqrt(X1) != c_NthRoot_Osqrt(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1719]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_171,negated_conjecture,
    ~ c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal),
    file('<stdin>',cls_conjecture_1) ).

fof(c_0_1_172,negated_conjecture,
    hBOOL(hAPP(v_P,v_xa)),
    file('<stdin>',cls_conjecture_0) ).

fof(c_0_2_173,negated_conjecture,
    ~ c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_3_174,negated_conjecture,
    hBOOL(hAPP(v_P,v_xa)),
    c_0_1 ).

fof(c_0_4_175,negated_conjecture,
    ~ c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal),
    c_0_2 ).

fof(c_0_5_176,negated_conjecture,
    hBOOL(hAPP(v_P,v_xa)),
    c_0_3 ).

cnf(c_0_6_177,negated_conjecture,
    ~ c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7_178,negated_conjecture,
    hBOOL(hAPP(v_P,v_xa)),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8_179,negated_conjecture,
    ~ c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal),
    c_0_6,
    [final] ).

cnf(c_0_9_180,negated_conjecture,
    hBOOL(hAPP(v_P,v_xa)),
    c_0_7,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_958,negated_conjecture,
    ~ c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/iprover_modulo_dfc697.p',c_0_8) ).

cnf(c_1147,negated_conjecture,
    ~ c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal),
    inference(copy,[status(esa)],[c_958]) ).

cnf(c_1155,negated_conjecture,
    ~ c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal),
    inference(copy,[status(esa)],[c_1147]) ).

cnf(c_1158,negated_conjecture,
    ~ c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal),
    inference(copy,[status(esa)],[c_1155]) ).

cnf(c_1159,negated_conjecture,
    ~ c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal),
    inference(copy,[status(esa)],[c_1158]) ).

cnf(c_4034,plain,
    ~ c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal),
    inference(copy,[status(esa)],[c_1159]) ).

cnf(c_765,plain,
    ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
    | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_dfc697.p',c_0_1651_0) ).

cnf(c_3651,plain,
    ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
    | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
    inference(copy,[status(esa)],[c_765]) ).

cnf(c_3652,plain,
    ( c_lessequals(X0,X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
    inference(rewriting,[status(thm)],[c_3651]) ).

cnf(c_4090,plain,
    ~ c_HOL_Oord__class_Oless(v_xa,v_Y____,tc_RealDef_Oreal),
    inference(resolution,[status(thm)],[c_4034,c_3652]) ).

cnf(c_4097,plain,
    ~ c_HOL_Oord__class_Oless(v_xa,v_Y____,tc_RealDef_Oreal),
    inference(rewriting,[status(thm)],[c_4090]) ).

cnf(c_840,plain,
    ( ~ hBOOL(hAPP(v_P,X0))
    | c_HOL_Oord__class_Oless(X0,v_Y____,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_dfc697.p',c_0_1679_0) ).

cnf(c_3801,plain,
    ( ~ hBOOL(hAPP(v_P,X0))
    | c_HOL_Oord__class_Oless(X0,v_Y____,tc_RealDef_Oreal) ),
    inference(copy,[status(esa)],[c_840]) ).

cnf(c_3802,plain,
    ( c_HOL_Oord__class_Oless(X0,v_Y____,tc_RealDef_Oreal)
    | ~ hBOOL(hAPP(v_P,X0)) ),
    inference(rewriting,[status(thm)],[c_3801]) ).

cnf(c_4200,plain,
    ~ hBOOL(hAPP(v_P,v_xa)),
    inference(resolution,[status(thm)],[c_4097,c_3802]) ).

cnf(c_4201,plain,
    ~ hBOOL(hAPP(v_P,v_xa)),
    inference(rewriting,[status(thm)],[c_4200]) ).

cnf(c_959,negated_conjecture,
    hBOOL(hAPP(v_P,v_xa)),
    file('/export/starexec/sandbox/tmp/iprover_modulo_dfc697.p',c_0_9) ).

cnf(c_1149,negated_conjecture,
    hBOOL(hAPP(v_P,v_xa)),
    inference(copy,[status(esa)],[c_959]) ).

cnf(c_1156,negated_conjecture,
    hBOOL(hAPP(v_P,v_xa)),
    inference(copy,[status(esa)],[c_1149]) ).

cnf(c_1157,negated_conjecture,
    hBOOL(hAPP(v_P,v_xa)),
    inference(copy,[status(esa)],[c_1156]) ).

cnf(c_1160,negated_conjecture,
    hBOOL(hAPP(v_P,v_xa)),
    inference(copy,[status(esa)],[c_1157]) ).

cnf(c_4036,negated_conjecture,
    hBOOL(hAPP(v_P,v_xa)),
    inference(copy,[status(esa)],[c_1160]) ).

cnf(c_5101,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_4201,c_4036]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ALG350-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n024.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 : Wed Jun  8 22:52:49 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running in mono-core mode
% 0.20/0.47  % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.47  % Orientation found
% 0.20/0.47  % 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_dc3f9d.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_dfc697.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_979495 | grep -v "SZS"
% 0.20/0.50  
% 0.20/0.50  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.50  
% 0.20/0.50  % 
% 0.20/0.50  % ------  iProver source info 
% 0.20/0.50  
% 0.20/0.50  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.50  % git: non_committed_changes: true
% 0.20/0.50  % git: last_make_outside_of_git: true
% 0.20/0.50  
% 0.20/0.50  % 
% 0.20/0.50  % ------ Input Options
% 0.20/0.50  
% 0.20/0.50  % --out_options                         all
% 0.20/0.50  % --tptp_safe_out                       true
% 0.20/0.50  % --problem_path                        ""
% 0.20/0.50  % --include_path                        ""
% 0.20/0.50  % --clausifier                          .//eprover
% 0.20/0.50  % --clausifier_options                  --tstp-format  
% 0.20/0.50  % --stdin                               false
% 0.20/0.50  % --dbg_backtrace                       false
% 0.20/0.50  % --dbg_dump_prop_clauses               false
% 0.20/0.50  % --dbg_dump_prop_clauses_file          -
% 0.20/0.50  % --dbg_out_stat                        false
% 0.20/0.50  
% 0.20/0.50  % ------ General Options
% 0.20/0.50  
% 0.20/0.50  % --fof                                 false
% 0.20/0.50  % --time_out_real                       150.
% 0.20/0.50  % --time_out_prep_mult                  0.2
% 0.20/0.50  % --time_out_virtual                    -1.
% 0.20/0.50  % --schedule                            none
% 0.20/0.50  % --ground_splitting                    input
% 0.20/0.50  % --splitting_nvd                       16
% 0.20/0.50  % --non_eq_to_eq                        false
% 0.20/0.50  % --prep_gs_sim                         true
% 0.20/0.50  % --prep_unflatten                      false
% 0.20/0.50  % --prep_res_sim                        true
% 0.20/0.50  % --prep_upred                          true
% 0.20/0.50  % --res_sim_input                       true
% 0.20/0.50  % --clause_weak_htbl                    true
% 0.20/0.50  % --gc_record_bc_elim                   false
% 0.20/0.50  % --symbol_type_check                   false
% 0.20/0.50  % --clausify_out                        false
% 0.20/0.50  % --large_theory_mode                   false
% 0.20/0.50  % --prep_sem_filter                     none
% 0.20/0.50  % --prep_sem_filter_out                 false
% 0.20/0.50  % --preprocessed_out                    false
% 0.20/0.50  % --sub_typing                          false
% 0.20/0.50  % --brand_transform                     false
% 0.20/0.50  % --pure_diseq_elim                     true
% 0.20/0.50  % --min_unsat_core                      false
% 0.20/0.50  % --pred_elim                           true
% 0.20/0.50  % --add_important_lit                   false
% 0.20/0.50  % --soft_assumptions                    false
% 0.20/0.50  % --reset_solvers                       false
% 0.20/0.50  % --bc_imp_inh                          []
% 0.20/0.50  % --conj_cone_tolerance                 1.5
% 0.20/0.50  % --prolific_symb_bound                 500
% 0.20/0.50  % --lt_threshold                        2000
% 0.20/0.50  
% 0.20/0.50  % ------ SAT Options
% 0.20/0.50  
% 0.20/0.50  % --sat_mode                            false
% 0.20/0.50  % --sat_fm_restart_options              ""
% 0.20/0.50  % --sat_gr_def                          false
% 0.20/0.50  % --sat_epr_types                       true
% 0.20/0.50  % --sat_non_cyclic_types                false
% 0.20/0.50  % --sat_finite_models                   false
% 0.20/0.50  % --sat_fm_lemmas                       false
% 0.20/0.50  % --sat_fm_prep                         false
% 0.20/0.50  % --sat_fm_uc_incr                      true
% 0.20/0.50  % --sat_out_model                       small
% 0.20/0.50  % --sat_out_clauses                     false
% 0.20/0.50  
% 0.20/0.50  % ------ QBF Options
% 0.20/0.50  
% 0.20/0.50  % --qbf_mode                            false
% 0.20/0.50  % --qbf_elim_univ                       true
% 0.20/0.50  % --qbf_sk_in                           true
% 0.20/0.50  % --qbf_pred_elim                       true
% 0.20/0.50  % --qbf_split                           32
% 0.20/0.50  
% 0.20/0.50  % ------ BMC1 Options
% 0.20/0.50  
% 0.20/0.50  % --bmc1_incremental                    false
% 0.20/0.50  % --bmc1_axioms                         reachable_all
% 0.20/0.50  % --bmc1_min_bound                      0
% 0.20/0.50  % --bmc1_max_bound                      -1
% 0.20/0.50  % --bmc1_max_bound_default              -1
% 0.20/0.50  % --bmc1_symbol_reachability            true
% 0.20/0.50  % --bmc1_property_lemmas                false
% 0.20/0.50  % --bmc1_k_induction                    false
% 0.20/0.50  % --bmc1_non_equiv_states               false
% 0.20/0.50  % --bmc1_deadlock                       false
% 0.20/0.50  % --bmc1_ucm                            false
% 0.20/0.50  % --bmc1_add_unsat_core                 none
% 0.20/0.50  % --bmc1_unsat_core_children            false
% 0.20/0.50  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.50  % --bmc1_out_stat                       full
% 0.20/0.50  % --bmc1_ground_init                    false
% 0.20/0.50  % --bmc1_pre_inst_next_state            false
% 0.20/0.50  % --bmc1_pre_inst_state                 false
% 0.20/0.50  % --bmc1_pre_inst_reach_state           false
% 0.20/0.50  % --bmc1_out_unsat_core                 false
% 0.20/0.50  % --bmc1_aig_witness_out                false
% 0.20/0.50  % --bmc1_verbose                        false
% 0.20/0.50  % --bmc1_dump_clauses_tptp              false
% 0.60/0.91  % --bmc1_dump_unsat_core_tptp           false
% 0.60/0.91  % --bmc1_dump_file                      -
% 0.60/0.91  % --bmc1_ucm_expand_uc_limit            128
% 0.60/0.91  % --bmc1_ucm_n_expand_iterations        6
% 0.60/0.91  % --bmc1_ucm_extend_mode                1
% 0.60/0.91  % --bmc1_ucm_init_mode                  2
% 0.60/0.91  % --bmc1_ucm_cone_mode                  none
% 0.60/0.91  % --bmc1_ucm_reduced_relation_type      0
% 0.60/0.91  % --bmc1_ucm_relax_model                4
% 0.60/0.91  % --bmc1_ucm_full_tr_after_sat          true
% 0.60/0.91  % --bmc1_ucm_expand_neg_assumptions     false
% 0.60/0.91  % --bmc1_ucm_layered_model              none
% 0.60/0.91  % --bmc1_ucm_max_lemma_size             10
% 0.60/0.91  
% 0.60/0.91  % ------ AIG Options
% 0.60/0.91  
% 0.60/0.91  % --aig_mode                            false
% 0.60/0.91  
% 0.60/0.91  % ------ Instantiation Options
% 0.60/0.91  
% 0.60/0.91  % --instantiation_flag                  true
% 0.60/0.91  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.60/0.91  % --inst_solver_per_active              750
% 0.60/0.91  % --inst_solver_calls_frac              0.5
% 0.60/0.91  % --inst_passive_queue_type             priority_queues
% 0.60/0.91  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.60/0.91  % --inst_passive_queues_freq            [25;2]
% 0.60/0.91  % --inst_dismatching                    true
% 0.60/0.91  % --inst_eager_unprocessed_to_passive   true
% 0.60/0.91  % --inst_prop_sim_given                 true
% 0.60/0.91  % --inst_prop_sim_new                   false
% 0.60/0.91  % --inst_orphan_elimination             true
% 0.60/0.91  % --inst_learning_loop_flag             true
% 0.60/0.91  % --inst_learning_start                 3000
% 0.60/0.91  % --inst_learning_factor                2
% 0.60/0.91  % --inst_start_prop_sim_after_learn     3
% 0.60/0.91  % --inst_sel_renew                      solver
% 0.60/0.91  % --inst_lit_activity_flag              true
% 0.60/0.91  % --inst_out_proof                      true
% 0.60/0.91  
% 0.60/0.91  % ------ Resolution Options
% 0.60/0.91  
% 0.60/0.91  % --resolution_flag                     true
% 0.60/0.91  % --res_lit_sel                         kbo_max
% 0.60/0.91  % --res_to_prop_solver                  none
% 0.60/0.91  % --res_prop_simpl_new                  false
% 0.60/0.91  % --res_prop_simpl_given                false
% 0.60/0.91  % --res_passive_queue_type              priority_queues
% 0.60/0.91  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.60/0.91  % --res_passive_queues_freq             [15;5]
% 0.60/0.91  % --res_forward_subs                    full
% 0.60/0.91  % --res_backward_subs                   full
% 0.60/0.91  % --res_forward_subs_resolution         true
% 0.60/0.91  % --res_backward_subs_resolution        true
% 0.60/0.91  % --res_orphan_elimination              false
% 0.60/0.91  % --res_time_limit                      1000.
% 0.60/0.91  % --res_out_proof                       true
% 0.60/0.91  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_dc3f9d.s
% 0.60/0.91  % --modulo                              true
% 0.60/0.91  
% 0.60/0.91  % ------ Combination Options
% 0.60/0.91  
% 0.60/0.91  % --comb_res_mult                       1000
% 0.60/0.91  % --comb_inst_mult                      300
% 0.60/0.91  % ------ 
% 0.60/0.91  
% 0.60/0.91  % ------ Parsing...% successful
% 0.60/0.91  
% 0.60/0.91  % ------ 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 % 
% 0.60/0.91  
% 0.60/0.91  % ------ Proving...
% 0.60/0.91  % ------ Problem Properties 
% 0.60/0.91  
% 0.60/0.91  % 
% 0.60/0.91  % EPR                                   false
% 0.60/0.91  % Horn                                  false
% 0.60/0.91  % Has equality                          true
% 0.60/0.91  
% 0.60/0.91  % % ------ Input Options Time Limit: Unbounded
% 0.60/0.91  
% 0.60/0.91  
% 0.60/0.91  Compiling...
% 0.60/0.91  Loading plugin: done.
% 0.60/0.91  Compiling...
% 0.60/0.91  Loading plugin: done.
% 0.60/0.91  Compiling...
% 0.60/0.91  Loading plugin: done.
% 0.60/0.91  % % ------ Current options:
% 0.60/0.91  
% 0.60/0.91  % ------ Input Options
% 0.60/0.91  
% 0.60/0.91  % --out_options                         all
% 0.60/0.91  % --tptp_safe_out                       true
% 0.60/0.91  % --problem_path                        ""
% 0.60/0.91  % --include_path                        ""
% 0.60/0.91  % --clausifier                          .//eprover
% 0.60/0.91  % --clausifier_options                  --tstp-format  
% 0.60/0.91  % --stdin                               false
% 0.60/0.91  % --dbg_backtrace                       false
% 0.60/0.91  % --dbg_dump_prop_clauses               false
% 0.60/0.91  % --dbg_dump_prop_clauses_file          -
% 0.60/0.91  % --dbg_out_stat                        false
% 0.60/0.91  
% 0.60/0.91  % ------ General Options
% 0.60/0.91  
% 0.60/0.91  % --fof                                 false
% 0.60/0.91  % --time_out_real                       150.
% 0.60/0.91  % --time_out_prep_mult                  0.2
% 0.60/0.91  % --time_out_virtual                    -1.
% 0.60/0.91  % --schedule                            none
% 0.60/0.91  % --ground_splitting                    input
% 0.60/0.91  % --splitting_nvd                       16
% 0.60/0.91  % --non_eq_to_eq                        false
% 0.60/0.91  % --prep_gs_sim                         true
% 0.60/0.91  % --prep_unflatten                      false
% 0.60/0.91  % --prep_res_sim                        true
% 0.60/0.91  % --prep_upred                          true
% 0.60/0.91  % --res_sim_input                       true
% 0.60/0.91  % --clause_weak_htbl                    true
% 0.60/0.91  % --gc_record_bc_elim                   false
% 0.60/0.91  % --symbol_type_check                   false
% 0.60/0.91  % --clausify_out                        false
% 0.60/0.91  % --large_theory_mode                   false
% 0.60/0.91  % --prep_sem_filter                     none
% 0.60/0.91  % --prep_sem_filter_out                 false
% 0.60/0.91  % --preprocessed_out                    false
% 0.60/0.91  % --sub_typing                          false
% 0.60/0.91  % --brand_transform                     false
% 0.60/0.91  % --pure_diseq_elim                     true
% 0.60/0.91  % --min_unsat_core                      false
% 0.60/0.91  % --pred_elim                           true
% 0.60/0.91  % --add_important_lit                   false
% 0.60/0.91  % --soft_assumptions                    false
% 0.60/0.91  % --reset_solvers                       false
% 0.60/0.91  % --bc_imp_inh                          []
% 0.60/0.91  % --conj_cone_tolerance                 1.5
% 0.60/0.91  % --prolific_symb_bound                 500
% 0.60/0.91  % --lt_threshold                        2000
% 0.60/0.91  
% 0.60/0.91  % ------ SAT Options
% 0.60/0.91  
% 0.60/0.91  % --sat_mode                            false
% 0.60/0.91  % --sat_fm_restart_options              ""
% 0.60/0.91  % --sat_gr_def                          false
% 0.60/0.91  % --sat_epr_types                       true
% 0.60/0.91  % --sat_non_cyclic_types                false
% 0.60/0.91  % --sat_finite_models                   false
% 0.60/0.91  % --sat_fm_lemmas                       false
% 0.60/0.91  % --sat_fm_prep                         false
% 0.60/0.91  % --sat_fm_uc_incr                      true
% 0.60/0.91  % --sat_out_model                       small
% 0.60/0.91  % --sat_out_clauses                     false
% 0.60/0.91  
% 0.60/0.91  % ------ QBF Options
% 0.60/0.91  
% 0.60/0.91  % --qbf_mode                            false
% 0.60/0.91  % --qbf_elim_univ                       true
% 0.60/0.91  % --qbf_sk_in                           true
% 0.60/0.91  % --qbf_pred_elim                       true
% 0.60/0.91  % --qbf_split                           32
% 0.60/0.91  
% 0.60/0.91  % ------ BMC1 Options
% 0.60/0.91  
% 0.60/0.91  % --bmc1_incremental                    false
% 0.60/0.91  % --bmc1_axioms                         reachable_all
% 0.60/0.91  % --bmc1_min_bound                      0
% 0.60/0.91  % --bmc1_max_bound                      -1
% 0.60/0.91  % --bmc1_max_bound_default              -1
% 0.60/0.91  % --bmc1_symbol_reachability            true
% 0.60/0.91  % --bmc1_property_lemmas                false
% 0.60/0.91  % --bmc1_k_induction                    false
% 0.60/0.91  % --bmc1_non_equiv_states               false
% 0.60/0.91  % --bmc1_deadlock                       false
% 0.60/0.91  % --bmc1_ucm                            false
% 0.60/0.91  % --bmc1_add_unsat_core                 none
% 0.60/0.91  % --bmc1_unsat_core_children            false
% 0.60/0.91  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.60/0.91  % --bmc1_out_stat                       full
% 0.60/0.91  % --bmc1_ground_init                    false
% 0.60/0.91  % --bmc1_pre_inst_next_state            false
% 0.60/0.91  % --bmc1_pre_inst_state                 false
% 0.60/0.91  % --bmc1_pre_inst_reach_state           false
% 0.60/0.91  % --bmc1_out_unsat_core                 false
% 0.60/0.91  % --bmc1_aig_witness_out                false
% 0.60/0.91  % --bmc1_verbose                        false
% 0.60/0.91  % --bmc1_dump_clauses_tptp              false
% 0.60/0.91  % --bmc1_dump_unsat_core_tptp           false
% 0.60/0.91  % --bmc1_dump_file                      -
% 0.60/0.91  % --bmc1_ucm_expand_uc_limit            128
% 0.60/0.91  % --bmc1_ucm_n_expand_iterations        6
% 0.60/0.91  % --bmc1_ucm_extend_mode                1
% 0.60/0.91  % --bmc1_ucm_init_mode                  2
% 0.60/0.91  % --bmc1_ucm_cone_mode                  none
% 0.60/0.91  % --bmc1_ucm_reduced_relation_type      0
% 0.60/0.91  % --bmc1_ucm_relax_model                4
% 0.60/0.91  % --bmc1_ucm_full_tr_after_sat          true
% 0.60/0.91  % --bmc1_ucm_expand_neg_assumptions     false
% 0.60/0.91  % --bmc1_ucm_layered_model              none
% 0.60/0.91  % --bmc1_ucm_max_lemma_size             10
% 0.60/0.91  
% 0.60/0.91  % ------ AIG Options
% 0.60/0.91  
% 0.60/0.91  % --aig_mode                            false
% 0.60/0.91  
% 0.60/0.91  % ------ Instantiation Options
% 0.60/0.91  
% 0.60/0.91  % --instantiation_flag                  true
% 0.60/0.91  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.60/0.91  % --inst_solver_per_active              750
% 0.60/0.91  % --inst_solver_calls_frac              0.5
% 0.60/0.91  % --inst_passive_queue_type             priority_queues
% 0.60/0.91  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.60/0.91  % --inst_passive_queues_freq            [25;2]
% 0.60/0.91  % --inst_dismatching                    true
% 0.72/0.94  % --inst_eager_unprocessed_to_passive   true
% 0.72/0.94  % --inst_prop_sim_given                 true
% 0.72/0.94  % --inst_prop_sim_new                   false
% 0.72/0.94  % --inst_orphan_elimination             true
% 0.72/0.94  % --inst_learning_loop_flag             true
% 0.72/0.94  % --inst_learning_start                 3000
% 0.72/0.94  % --inst_learning_factor                2
% 0.72/0.94  % --inst_start_prop_sim_after_learn     3
% 0.72/0.94  % --inst_sel_renew                      solver
% 0.72/0.94  % --inst_lit_activity_flag              true
% 0.72/0.94  % --inst_out_proof                      true
% 0.72/0.94  
% 0.72/0.94  % ------ Resolution Options
% 0.72/0.94  
% 0.72/0.94  % --resolution_flag                     true
% 0.72/0.94  % --res_lit_sel                         kbo_max
% 0.72/0.94  % --res_to_prop_solver                  none
% 0.72/0.94  % --res_prop_simpl_new                  false
% 0.72/0.94  % --res_prop_simpl_given                false
% 0.72/0.94  % --res_passive_queue_type              priority_queues
% 0.72/0.94  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.72/0.94  % --res_passive_queues_freq             [15;5]
% 0.72/0.94  % --res_forward_subs                    full
% 0.72/0.94  % --res_backward_subs                   full
% 0.72/0.94  % --res_forward_subs_resolution         true
% 0.72/0.94  % --res_backward_subs_resolution        true
% 0.72/0.94  % --res_orphan_elimination              false
% 0.72/0.94  % --res_time_limit                      1000.
% 0.72/0.94  % --res_out_proof                       true
% 0.72/0.94  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_dc3f9d.s
% 0.72/0.94  % --modulo                              true
% 0.72/0.94  
% 0.72/0.94  % ------ Combination Options
% 0.72/0.94  
% 0.72/0.94  % --comb_res_mult                       1000
% 0.72/0.94  % --comb_inst_mult                      300
% 0.72/0.94  % ------ 
% 0.72/0.94  
% 0.72/0.94  
% 0.72/0.94  
% 0.72/0.94  % ------ Proving...
% 0.72/0.94  % 
% 0.72/0.94  
% 0.72/0.94  
% 0.72/0.94  %  Resolution empty clause
% 0.72/0.94  
% 0.72/0.94  % ------                             Statistics
% 0.72/0.94  
% 0.72/0.94  % ------ General
% 0.72/0.94  
% 0.72/0.94  % num_of_input_clauses:                 960
% 0.72/0.94  % num_of_input_neg_conjectures:         2
% 0.72/0.94  % num_of_splits:                        0
% 0.72/0.94  % num_of_split_atoms:                   0
% 0.72/0.94  % num_of_sem_filtered_clauses:          0
% 0.72/0.94  % num_of_subtypes:                      0
% 0.72/0.94  % monotx_restored_types:                0
% 0.72/0.94  % sat_num_of_epr_types:                 0
% 0.72/0.94  % sat_num_of_non_cyclic_types:          0
% 0.72/0.94  % sat_guarded_non_collapsed_types:      0
% 0.72/0.94  % is_epr:                               0
% 0.72/0.94  % is_horn:                              0
% 0.72/0.94  % has_eq:                               1
% 0.72/0.94  % num_pure_diseq_elim:                  0
% 0.72/0.94  % simp_replaced_by:                     0
% 0.72/0.94  % res_preprocessed:                     4
% 0.72/0.94  % prep_upred:                           0
% 0.72/0.94  % prep_unflattend:                      0
% 0.72/0.94  % pred_elim_cands:                      0
% 0.72/0.94  % pred_elim:                            0
% 0.72/0.94  % pred_elim_cl:                         0
% 0.72/0.94  % pred_elim_cycles:                     0
% 0.72/0.94  % forced_gc_time:                       0
% 0.72/0.94  % gc_basic_clause_elim:                 0
% 0.72/0.94  % parsing_time:                         0.044
% 0.72/0.94  % sem_filter_time:                      0.
% 0.72/0.94  % pred_elim_time:                       0.
% 0.72/0.94  % out_proof_time:                       0.
% 0.72/0.94  % monotx_time:                          0.
% 0.72/0.94  % subtype_inf_time:                     0.
% 0.72/0.94  % unif_index_cands_time:                0.
% 0.72/0.94  % unif_index_add_time:                  0.
% 0.72/0.94  % total_time:                           0.465
% 0.72/0.94  % num_of_symbols:                       82
% 0.72/0.94  % num_of_terms:                         3485
% 0.72/0.94  
% 0.72/0.94  % ------ Propositional Solver
% 0.72/0.94  
% 0.72/0.94  % prop_solver_calls:                    1
% 0.72/0.94  % prop_fast_solver_calls:               6
% 0.72/0.94  % prop_num_of_clauses:                  876
% 0.72/0.94  % prop_preprocess_simplified:           2916
% 0.72/0.94  % prop_fo_subsumed:                     0
% 0.72/0.94  % prop_solver_time:                     0.
% 0.72/0.94  % prop_fast_solver_time:                0.
% 0.72/0.94  % prop_unsat_core_time:                 0.
% 0.72/0.94  
% 0.72/0.94  % ------ QBF 
% 0.72/0.94  
% 0.72/0.94  % qbf_q_res:                            0
% 0.72/0.94  % qbf_num_tautologies:                  0
% 0.72/0.94  % qbf_prep_cycles:                      0
% 0.72/0.94  
% 0.72/0.94  % ------ BMC1
% 0.72/0.94  
% 0.72/0.94  % bmc1_current_bound:                   -1
% 0.72/0.94  % bmc1_last_solved_bound:               -1
% 0.72/0.94  % bmc1_unsat_core_size:                 -1
% 0.72/0.94  % bmc1_unsat_core_parents_size:         -1
% 0.72/0.94  % bmc1_merge_next_fun:                  0
% 0.72/0.94  % bmc1_unsat_core_clauses_time:         0.
% 0.72/0.94  
% 0.72/0.94  % ------ Instantiation
% 0.72/0.94  
% 0.72/0.94  % inst_num_of_clauses:                  805
% 0.72/0.94  % inst_num_in_passive:                  0
% 0.72/0.94  % inst_num_in_active:                   0
% 0.72/0.95  % inst_num_in_unprocessed:              960
% 0.72/0.95  % inst_num_of_loops:                    0
% 0.72/0.95  % inst_num_of_learning_restarts:        0
% 0.72/0.95  % inst_num_moves_active_passive:        0
% 0.72/0.95  % inst_lit_activity:                    0
% 0.72/0.95  % inst_lit_activity_moves:              0
% 0.72/0.95  % inst_num_tautologies:                 0
% 0.72/0.95  % inst_num_prop_implied:                0
% 0.72/0.95  % inst_num_existing_simplified:         0
% 0.72/0.95  % inst_num_eq_res_simplified:           0
% 0.72/0.95  % inst_num_child_elim:                  0
% 0.72/0.95  % inst_num_of_dismatching_blockings:    0
% 0.72/0.95  % inst_num_of_non_proper_insts:         0
% 0.72/0.95  % inst_num_of_duplicates:               0
% 0.72/0.95  % inst_inst_num_from_inst_to_res:       0
% 0.72/0.95  % inst_dismatching_checking_time:       0.
% 0.72/0.95  
% 0.72/0.95  % ------ Resolution
% 0.72/0.95  
% 0.72/0.95  % res_num_of_clauses:                   1359
% 0.72/0.95  % res_num_in_passive:                   443
% 0.72/0.95  % res_num_in_active:                    381
% 0.72/0.95  % res_num_of_loops:                     38
% 0.72/0.95  % res_forward_subset_subsumed:          603
% 0.72/0.95  % res_backward_subset_subsumed:         0
% 0.72/0.95  % res_forward_subsumed:                 21
% 0.72/0.95  % res_backward_subsumed:                0
% 0.72/0.95  % res_forward_subsumption_resolution:   1
% 0.72/0.95  % res_backward_subsumption_resolution:  0
% 0.72/0.95  % res_clause_to_clause_subsumption:     172
% 0.72/0.95  % res_orphan_elimination:               0
% 0.72/0.95  % res_tautology_del:                    0
% 0.72/0.95  % res_num_eq_res_simplified:            0
% 0.72/0.95  % res_num_sel_changes:                  0
% 0.72/0.95  % res_moves_from_active_to_pass:        0
% 0.72/0.95  
% 0.72/0.95  % Status Unsatisfiable
% 0.72/0.95  % SZS status Unsatisfiable
% 0.72/0.95  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------