TSTP Solution File: ALG365-1 by iProverMo---2.5-0.1

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : ALG365-1 : 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 17:11:24 EDT 2022

% Result   : Unsatisfiable 1.04s 1.23s
% Output   : CNFRefutation 1.04s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

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

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

cnf(cls_ATP__Linkup_OCOMBB__def_0,axiom,
    hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)),
    input ).

fof(cls_ATP__Linkup_OCOMBB__def_0_0,plain,
    ! [T_a,T_b,T_c,V_P,V_Q,V_R] :
      ( hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R))
      | $false ),
    inference(orientation,[status(thm)],[cls_ATP__Linkup_OCOMBB__def_0]) ).

cnf(cls_ATP__Linkup_OCOMBC__def_0,axiom,
    hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q),
    input ).

fof(cls_ATP__Linkup_OCOMBC__def_0_0,plain,
    ! [T_a,T_b,T_c,V_P,V_Q,V_R] :
      ( hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q)
      | $false ),
    inference(orientation,[status(thm)],[cls_ATP__Linkup_OCOMBC__def_0]) ).

cnf(clsarity_Complex__Ocomplex__HOL_Ozero,axiom,
    class_HOL_Ozero(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__HOL_Ozero_0,plain,
    ( class_HOL_Ozero(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__HOL_Ozero]) ).

cnf(clsarity_Complex__Ocomplex__SEQ_Obanach,axiom,
    class_SEQ_Obanach(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__SEQ_Obanach_0,plain,
    ( class_SEQ_Obanach(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__SEQ_Obanach]) ).

cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom,
    class_Int_Onumber__ring(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__Int_Onumber__ring_0,plain,
    ( class_Int_Onumber__ring(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Int_Onumber__ring]) ).

cnf(clsarity_Complex__Ocomplex__SEQ_Ocomplete__space,axiom,
    class_SEQ_Ocomplete__space(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__SEQ_Ocomplete__space_0,plain,
    ( class_SEQ_Ocomplete__space(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__SEQ_Ocomplete__space]) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom,
    class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom_0,plain,
    ( class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oidom]) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom,
    class_Ring__and__Field_Oring(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__Ring__and__Field_Oring_0,plain,
    ( class_Ring__and__Field_Oring(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oring]) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom,
    class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield_0,plain,
    ( class_Ring__and__Field_Ofield(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ofield]) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom,
    class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add_0,plain,
    ( class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add]) ).

cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__vector,axiom,
    class_RealVector_Oreal__vector(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__RealVector_Oreal__vector_0,plain,
    ( class_RealVector_Oreal__vector(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__vector]) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom,
    class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add_0,plain,
    ( class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add]) ).

cnf(clsarity_Complex__Ocomplex__RealVector_Ometric__space,axiom,
    class_RealVector_Ometric__space(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__RealVector_Ometric__space_0,plain,
    ( class_RealVector_Ometric__space(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Ometric__space]) ).

cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra,axiom,
    class_RealVector_Oreal__algebra(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra_0,plain,
    ( class_RealVector_Oreal__algebra(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__algebra]) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom,
    class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring_0,plain,
    ( class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring]) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom,
    class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero_0,plain,
    ( class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero]) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom,
    class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add_0,plain,
    ( class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add]) ).

cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1,axiom,
    class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1_0,plain,
    ( class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1]) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__0,axiom,
    class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__0_0,plain,
    ( class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__0]) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add_0,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add]) ).

cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom,
    class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field_0,plain,
    ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field]) ).

cnf(clsarity_Complex__Ocomplex__RealVector_Otopological__space,axiom,
    class_RealVector_Otopological__space(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__RealVector_Otopological__space_0,plain,
    ( class_RealVector_Otopological__space(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Otopological__space]) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring_0,plain,
    ( class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring]) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring,axiom,
    class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring_0,plain,
    ( class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring]) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add_0,plain,
    ( class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add]) ).

cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector_0,plain,
    ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult_0,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult]) ).

cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
    class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra_0,plain,
    ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra]) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1_0,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1]) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom,
    class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero_0,plain,
    ( class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero]) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors_0,plain,
    ( class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors]) ).

cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom,
    class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1_0,plain,
    ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1]) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add_0,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add]) ).

cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom,
    class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra_0,plain,
    ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra]) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add_0,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add]) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors_0,plain,
    ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors]) ).

cnf(clsarity_RealDef__Oreal__HOL_Ozero,axiom,
    class_HOL_Ozero(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__HOL_Ozero_0,plain,
    ( class_HOL_Ozero(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__HOL_Ozero]) ).

cnf(clsarity_RealDef__Oreal__SEQ_Obanach,axiom,
    class_SEQ_Obanach(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__SEQ_Obanach_0,plain,
    ( class_SEQ_Obanach(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__SEQ_Obanach]) ).

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__SEQ_Ocomplete__space,axiom,
    class_SEQ_Ocomplete__space(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__SEQ_Ocomplete__space_0,plain,
    ( class_SEQ_Ocomplete__space(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__SEQ_Ocomplete__space]) ).

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__Ring__and__Field_Oring,axiom,
    class_Ring__and__Field_Oring(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Oring_0,plain,
    ( class_Ring__and__Field_Oring(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oring]) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield,axiom,
    class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Ofield_0,plain,
    ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ofield]) ).

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__RealVector_Oreal__vector,axiom,
    class_RealVector_Oreal__vector(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__RealVector_Oreal__vector_0,plain,
    ( class_RealVector_Oreal__vector(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__vector]) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom,
    class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add_0,plain,
    ( class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add]) ).

cnf(clsarity_RealDef__Oreal__RealVector_Ometric__space,axiom,
    class_RealVector_Ometric__space(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__RealVector_Ometric__space_0,plain,
    ( class_RealVector_Ometric__space(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Ometric__space]) ).

cnf(clsarity_RealDef__Oreal__RealVector_Oreal__algebra,axiom,
    class_RealVector_Oreal__algebra(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__RealVector_Oreal__algebra_0,plain,
    ( class_RealVector_Oreal__algebra(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__algebra]) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,axiom,
    class_Ring__and__Field_Osemiring(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring_0,plain,
    ( class_Ring__and__Field_Osemiring(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Osemiring]) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom,
    class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero_0,plain,
    ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero]) ).

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__RealVector_Oreal__algebra__1,axiom,
    class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__RealVector_Oreal__algebra__1_0,plain,
    ( class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__algebra__1]) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring__0,axiom,
    class_Ring__and__Field_Osemiring__0(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring__0_0,plain,
    ( class_Ring__and__Field_Osemiring__0(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Osemiring__0]) ).

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__RealVector_Oreal__normed__field,axiom,
    class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field_0,plain,
    ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__field]) ).

cnf(clsarity_RealDef__Oreal__RealVector_Otopological__space,axiom,
    class_RealVector_Otopological__space(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__RealVector_Otopological__space_0,plain,
    ( class_RealVector_Otopological__space(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Otopological__space]) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring_0,plain,
    ( class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring]) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__ring,axiom,
    class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__ring_0,plain,
    ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Odivision__ring]) ).

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__OrderedGroup_Oab__semigroup__mult,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult_0,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult]) ).

cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,
    class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra_0,plain,
    ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra]) ).

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__Ring__and__Field_Odivision__by__zero,axiom,
    class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero_0,plain,
    ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero]) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors_0,plain,
    ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors]) ).

cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom,
    class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1_0,plain,
    ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__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_Oordered__ab__group__add,axiom,
    class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add_0,plain,
    ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__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__RealVector_Oreal__normed__div__algebra,axiom,
    class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra_0,plain,
    ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra]) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom,
    class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict_0,plain,
    ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict]) ).

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__Ring__and__Field_Oring__no__zero__divisors,axiom,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors_0,plain,
    ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors]) ).

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

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

cnf(clsarity_nat__HOL_Ozero,axiom,
    class_HOL_Ozero(tc_nat),
    input ).

fof(clsarity_nat__HOL_Ozero_0,plain,
    ( class_HOL_Ozero(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__HOL_Ozero]) ).

cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom,
    class_OrderedGroup_Omonoid__add(tc_nat),
    input ).

fof(clsarity_nat__OrderedGroup_Omonoid__add_0,plain,
    ( class_OrderedGroup_Omonoid__add(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Omonoid__add]) ).

cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom,
    class_Ring__and__Field_Osemiring(tc_nat),
    input ).

fof(clsarity_nat__Ring__and__Field_Osemiring_0,plain,
    ( class_Ring__and__Field_Osemiring(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Osemiring]) ).

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

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

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

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

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

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

cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_nat),
    input ).

fof(clsarity_nat__Ring__and__Field_Ocomm__semiring_0,plain,
    ( class_Ring__and__Field_Ocomm__semiring(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Ocomm__semiring]) ).

cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_nat),
    input ).

fof(clsarity_nat__OrderedGroup_Oab__semigroup__add_0,plain,
    ( class_OrderedGroup_Oab__semigroup__add(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Oab__semigroup__add]) ).

cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_nat),
    input ).

fof(clsarity_nat__OrderedGroup_Oab__semigroup__mult_0,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Oab__semigroup__mult]) ).

cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
    input ).

fof(clsarity_nat__Ring__and__Field_Ocomm__semiring__1_0,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Ocomm__semiring__1]) ).

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

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

cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
    input ).

fof(clsarity_nat__OrderedGroup_Ocancel__semigroup__add_0,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Ocancel__semigroup__add]) ).

cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
    input ).

fof(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add_0,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add]) ).

cnf(cls_CHAINED_0,axiom,
    c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),v_sko__CHAINED__1(v_f____,v_ga____,v_s),tc_RealDef_Oreal),
    input ).

fof(cls_CHAINED_0_0,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),v_sko__CHAINED__1(v_f____,v_ga____,v_s),tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[cls_CHAINED_0]) ).

cnf(cls_f_I2_J_0,axiom,
    c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_f____,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)),
    input ).

fof(cls_f_I2_J_0_0,plain,
    ( c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_f____,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat))
    | $false ),
    inference(orientation,[status(thm)],[cls_f_I2_J_0]) ).

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

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

cnf(cls_Im_OisCont_0,axiom,
    c_Lim_OisCont(c_Complex_OIm,V_a,tc_Complex_Ocomplex,tc_RealDef_Oreal),
    input ).

fof(cls_Im_OisCont_0_0,plain,
    ! [V_a] :
      ( c_Lim_OisCont(c_Complex_OIm,V_a,tc_Complex_Ocomplex,tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_Im_OisCont_0]) ).

cnf(cls_f_I1_J_0,axiom,
    c_SEQ_Osubseq(v_f____),
    input ).

fof(cls_f_I1_J_0_0,plain,
    ( c_SEQ_Osubseq(v_f____)
    | $false ),
    inference(orientation,[status(thm)],[cls_f_I1_J_0]) ).

cnf(cls_conv2_0,axiom,
    c_SEQ_Oconvergent(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal),
    input ).

fof(cls_conv2_0_0,plain,
    ( c_SEQ_Oconvergent(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[cls_conv2_0]) ).

cnf(cls_Im_Osetsum_0,axiom,
    hAPP(c_Complex_OIm,c_Finite__Set_Osetsum(V_g,V_A,T_a,tc_Complex_Ocomplex)) = c_Finite__Set_Osetsum(c_COMBB(c_Complex_OIm,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_A,T_a,tc_RealDef_Oreal),
    input ).

fof(cls_Im_Osetsum_0_0,plain,
    ! [T_a,V_A,V_g] :
      ( hAPP(c_Complex_OIm,c_Finite__Set_Osetsum(V_g,V_A,T_a,tc_Complex_Ocomplex)) = c_Finite__Set_Osetsum(c_COMBB(c_Complex_OIm,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_A,T_a,tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_Im_Osetsum_0]) ).

cnf(cls_g_I2_J_0,axiom,
    c_SEQ_Omonoseq(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)),
    input ).

fof(cls_g_I2_J_0_0,plain,
    ( c_SEQ_Omonoseq(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat))
    | $false ),
    inference(orientation,[status(thm)],[cls_g_I2_J_0]) ).

cnf(cls_Im_0,axiom,
    hAPP(c_Complex_OIm,c_Complex_Ocomplex_OComplex(V_x,V_y)) = V_y,
    input ).

fof(cls_Im_0_0,plain,
    ! [V_x,V_y] :
      ( hAPP(c_Complex_OIm,c_Complex_Ocomplex_OComplex(V_x,V_y)) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_Im_0]) ).

cnf(cls_g_I1_J_0,axiom,
    c_SEQ_Osubseq(v_ga____),
    input ).

fof(cls_g_I1_J_0_0,plain,
    ( c_SEQ_Osubseq(v_ga____)
    | $false ),
    inference(orientation,[status(thm)],[cls_g_I1_J_0]) ).

cnf(cls_conv1_0,axiom,
    c_SEQ_Oconvergent(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_f____,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal),
    input ).

fof(cls_conv1_0_0,plain,
    ( c_SEQ_Oconvergent(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_f____,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[cls_conv1_0]) ).

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

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

cnf(cls_Im_OisUCont_0,axiom,
    c_Lim_OisUCont(c_Complex_OIm,tc_Complex_Ocomplex,tc_RealDef_Oreal),
    input ).

fof(cls_Im_OisUCont_0_0,plain,
    ( c_Lim_OisUCont(c_Complex_OIm,tc_Complex_Ocomplex,tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[cls_Im_OisUCont_0]) ).

cnf(cls_Im_Ocont_0,axiom,
    c_Lim_OLIM(c_Complex_OIm,V_a,hAPP(c_Complex_OIm,V_a),tc_Complex_Ocomplex,tc_RealDef_Oreal),
    input ).

fof(cls_Im_Ocont_0_0,plain,
    ! [V_a] :
      ( c_Lim_OLIM(c_Complex_OIm,V_a,hAPP(c_Complex_OIm,V_a),tc_Complex_Ocomplex,tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_Im_Ocont_0]) ).

cnf(cls_Re_0,axiom,
    hAPP(c_Complex_ORe,c_Complex_Ocomplex_OComplex(V_x,V_y)) = V_x,
    input ).

fof(cls_Re_0_0,plain,
    ! [V_x,V_y] :
      ( hAPP(c_Complex_ORe,c_Complex_Ocomplex_OComplex(V_x,V_y)) = V_x
      | $false ),
    inference(orientation,[status(thm)],[cls_Re_0]) ).

cnf(cls_Re_OisUCont_0,axiom,
    c_Lim_OisUCont(c_Complex_ORe,tc_Complex_Ocomplex,tc_RealDef_Oreal),
    input ).

fof(cls_Re_OisUCont_0_0,plain,
    ( c_Lim_OisUCont(c_Complex_ORe,tc_Complex_Ocomplex,tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[cls_Re_OisUCont_0]) ).

cnf(cls_complex__surj_0,axiom,
    c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,V_z),hAPP(c_Complex_OIm,V_z)) = V_z,
    input ).

fof(cls_complex__surj_0_0,plain,
    ! [V_z] :
      ( c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,V_z),hAPP(c_Complex_OIm,V_z)) = V_z
      | $false ),
    inference(orientation,[status(thm)],[cls_complex__surj_0]) ).

cnf(cls_nat__add__commute_0,axiom,
    hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),
    input ).

fof(cls_nat__add__commute_0_0,plain,
    ! [V_m,V_n] :
      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m)
      | $false ),
    inference(orientation,[status(thm)],[cls_nat__add__commute_0]) ).

cnf(cls_add__Suc__right_0,axiom,
    hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(c_Suc,V_n)) = hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)),
    input ).

fof(cls_add__Suc__right_0_0,plain,
    ! [V_m,V_n] :
      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(c_Suc,V_n)) = hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n))
      | $false ),
    inference(orientation,[status(thm)],[cls_add__Suc__right_0]) ).

cnf(cls_add__Suc_0,axiom,
    hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,V_m)),V_n) = hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)),
    input ).

fof(cls_add__Suc_0_0,plain,
    ! [V_m,V_n] :
      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,V_m)),V_n) = hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n))
      | $false ),
    inference(orientation,[status(thm)],[cls_add__Suc_0]) ).

cnf(cls_COMBK__def_0,axiom,
    hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P,
    input ).

fof(cls_COMBK__def_0_0,plain,
    ! [T_a,T_b,V_P,V_Q] :
      ( hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P
      | $false ),
    inference(orientation,[status(thm)],[cls_COMBK__def_0]) ).

cnf(cls_COMBC__def_0,axiom,
    hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q),
    input ).

fof(cls_COMBC__def_0_0,plain,
    ! [T_a,T_b,T_c,V_P,V_Q,V_R] :
      ( hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q)
      | $false ),
    inference(orientation,[status(thm)],[cls_COMBC__def_0]) ).

cnf(cls_nat__add__left__commute_0,axiom,
    hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z)),
    input ).

fof(cls_nat__add__left__commute_0_0,plain,
    ! [V_x,V_y,V_z] :
      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z))
      | $false ),
    inference(orientation,[status(thm)],[cls_nat__add__left__commute_0]) ).

cnf(cls_nat__add__assoc_0,axiom,
    hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)),V_k) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)),
    input ).

fof(cls_nat__add__assoc_0_0,plain,
    ! [V_k,V_m,V_n] :
      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)),V_k) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k))
      | $false ),
    inference(orientation,[status(thm)],[cls_nat__add__assoc_0]) ).

cnf(cls_Re_Osetsum_0,axiom,
    hAPP(c_Complex_ORe,c_Finite__Set_Osetsum(V_g,V_A,T_a,tc_Complex_Ocomplex)) = c_Finite__Set_Osetsum(c_COMBB(c_Complex_ORe,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_A,T_a,tc_RealDef_Oreal),
    input ).

fof(cls_Re_Osetsum_0_0,plain,
    ! [T_a,V_A,V_g] :
      ( hAPP(c_Complex_ORe,c_Finite__Set_Osetsum(V_g,V_A,T_a,tc_Complex_Ocomplex)) = c_Finite__Set_Osetsum(c_COMBB(c_Complex_ORe,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_A,T_a,tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_Re_Osetsum_0]) ).

cnf(cls_Re_OisCont_0,axiom,
    c_Lim_OisCont(c_Complex_ORe,V_a,tc_Complex_Ocomplex,tc_RealDef_Oreal),
    input ).

fof(cls_Re_OisCont_0_0,plain,
    ! [V_a] :
      ( c_Lim_OisCont(c_Complex_ORe,V_a,tc_Complex_Ocomplex,tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_Re_OisCont_0]) ).

cnf(cls_add__Suc__shift_0,axiom,
    hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,V_m)),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(c_Suc,V_n)),
    input ).

fof(cls_add__Suc__shift_0_0,plain,
    ! [V_m,V_n] :
      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,V_m)),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(c_Suc,V_n))
      | $false ),
    inference(orientation,[status(thm)],[cls_add__Suc__shift_0]) ).

cnf(cls_Re_Ocont_0,axiom,
    c_Lim_OLIM(c_Complex_ORe,V_a,hAPP(c_Complex_ORe,V_a),tc_Complex_Ocomplex,tc_RealDef_Oreal),
    input ).

fof(cls_Re_Ocont_0_0,plain,
    ! [V_a] :
      ( c_Lim_OLIM(c_Complex_ORe,V_a,hAPP(c_Complex_ORe,V_a),tc_Complex_Ocomplex,tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_Re_Ocont_0]) ).

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

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

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

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

fof(def_lhs_atom1,axiom,
    ! [V_n] :
      ( lhs_atom1(V_n)
    <=> V_n != hAPP(c_Suc,V_n) ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ! [V_n] :
      ( lhs_atom1(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_n__not__Suc__n_0_0,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [V_n] :
      ( lhs_atom2(V_n)
    <=> hAPP(c_Suc,V_n) != V_n ),
    inference(definition,[],]) ).

fof(to_be_clausified_1,plain,
    ! [V_n] :
      ( lhs_atom2(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Suc__n__not__n_0_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ! [V_a] :
      ( lhs_atom3(V_a)
    <=> c_Lim_OLIM(c_Complex_ORe,V_a,hAPP(c_Complex_ORe,V_a),tc_Complex_Ocomplex,tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_2,plain,
    ! [V_a] :
      ( lhs_atom3(V_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Re_Ocont_0_0,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ! [V_n,V_m] :
      ( lhs_atom4(V_n,V_m)
    <=> hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,V_m)),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(c_Suc,V_n)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_3,plain,
    ! [V_m,V_n] :
      ( lhs_atom4(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_add__Suc__shift_0_0,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ! [V_a] :
      ( lhs_atom5(V_a)
    <=> c_Lim_OisCont(c_Complex_ORe,V_a,tc_Complex_Ocomplex,tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_4,plain,
    ! [V_a] :
      ( lhs_atom5(V_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Re_OisCont_0_0,def_lhs_atom5]) ).

fof(def_lhs_atom6,axiom,
    ! [V_g,V_A,T_a] :
      ( lhs_atom6(V_g,V_A,T_a)
    <=> hAPP(c_Complex_ORe,c_Finite__Set_Osetsum(V_g,V_A,T_a,tc_Complex_Ocomplex)) = c_Finite__Set_Osetsum(c_COMBB(c_Complex_ORe,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_A,T_a,tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_5,plain,
    ! [T_a,V_A,V_g] :
      ( lhs_atom6(V_g,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Re_Osetsum_0_0,def_lhs_atom6]) ).

fof(def_lhs_atom7,axiom,
    ! [V_n,V_m,V_k] :
      ( lhs_atom7(V_n,V_m,V_k)
    <=> hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)),V_k) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_6,plain,
    ! [V_k,V_m,V_n] :
      ( lhs_atom7(V_n,V_m,V_k)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_nat__add__assoc_0_0,def_lhs_atom7]) ).

fof(def_lhs_atom8,axiom,
    ! [V_z,V_y,V_x] :
      ( lhs_atom8(V_z,V_y,V_x)
    <=> hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_7,plain,
    ! [V_x,V_y,V_z] :
      ( lhs_atom8(V_z,V_y,V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_nat__add__left__commute_0_0,def_lhs_atom8]) ).

fof(def_lhs_atom9,axiom,
    ! [V_R,V_Q,V_P,T_c,T_b,T_a] :
      ( lhs_atom9(V_R,V_Q,V_P,T_c,T_b,T_a)
    <=> hAPP(c_COMBC(V_P,V_Q,T_b,T_c,T_a),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ),
    inference(definition,[],]) ).

fof(to_be_clausified_8,plain,
    ! [T_a,T_b,T_c,V_P,V_Q,V_R] :
      ( lhs_atom9(V_R,V_Q,V_P,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_COMBC__def_0_0,def_lhs_atom9]) ).

fof(def_lhs_atom10,axiom,
    ! [V_Q,V_P,T_b,T_a] :
      ( lhs_atom10(V_Q,V_P,T_b,T_a)
    <=> hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ),
    inference(definition,[],]) ).

fof(to_be_clausified_9,plain,
    ! [T_a,T_b,V_P,V_Q] :
      ( lhs_atom10(V_Q,V_P,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_COMBK__def_0_0,def_lhs_atom10]) ).

fof(def_lhs_atom11,axiom,
    ! [V_n,V_m] :
      ( lhs_atom11(V_n,V_m)
    <=> hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,V_m)),V_n) = hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_10,plain,
    ! [V_m,V_n] :
      ( lhs_atom11(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_add__Suc_0_0,def_lhs_atom11]) ).

fof(def_lhs_atom12,axiom,
    ! [V_n,V_m] :
      ( lhs_atom12(V_n,V_m)
    <=> hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(c_Suc,V_n)) = hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_11,plain,
    ! [V_m,V_n] :
      ( lhs_atom12(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_add__Suc__right_0_0,def_lhs_atom12]) ).

fof(def_lhs_atom13,axiom,
    ! [V_n,V_m] :
      ( lhs_atom13(V_n,V_m)
    <=> hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m) ),
    inference(definition,[],]) ).

fof(to_be_clausified_12,plain,
    ! [V_m,V_n] :
      ( lhs_atom13(V_n,V_m)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_nat__add__commute_0_0,def_lhs_atom13]) ).

fof(def_lhs_atom14,axiom,
    ! [V_z] :
      ( lhs_atom14(V_z)
    <=> c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,V_z),hAPP(c_Complex_OIm,V_z)) = V_z ),
    inference(definition,[],]) ).

fof(to_be_clausified_13,plain,
    ! [V_z] :
      ( lhs_atom14(V_z)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_complex__surj_0_0,def_lhs_atom14]) ).

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

fof(to_be_clausified_14,plain,
    ( lhs_atom15
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Re_OisUCont_0_0,def_lhs_atom15]) ).

fof(def_lhs_atom16,axiom,
    ! [V_y,V_x] :
      ( lhs_atom16(V_y,V_x)
    <=> hAPP(c_Complex_ORe,c_Complex_Ocomplex_OComplex(V_x,V_y)) = V_x ),
    inference(definition,[],]) ).

fof(to_be_clausified_15,plain,
    ! [V_x,V_y] :
      ( lhs_atom16(V_y,V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Re_0_0,def_lhs_atom16]) ).

fof(def_lhs_atom17,axiom,
    ! [V_a] :
      ( lhs_atom17(V_a)
    <=> c_Lim_OLIM(c_Complex_OIm,V_a,hAPP(c_Complex_OIm,V_a),tc_Complex_Ocomplex,tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_16,plain,
    ! [V_a] :
      ( lhs_atom17(V_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Im_Ocont_0_0,def_lhs_atom17]) ).

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

fof(to_be_clausified_17,plain,
    ( lhs_atom18
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Im_OisUCont_0_0,def_lhs_atom18]) ).

fof(def_lhs_atom19,axiom,
    ! [V_g,V_f,V_A,T_c,T_b,T_a] :
      ( lhs_atom19(V_g,V_f,V_A,T_c,T_b,T_a)
    <=> c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a) = c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_18,plain,
    ! [T_a,T_b,T_c,V_A,V_f,V_g] :
      ( lhs_atom19(V_g,V_f,V_A,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__image_0_0,def_lhs_atom19]) ).

fof(def_lhs_atom20,axiom,
    ( lhs_atom20
  <=> c_SEQ_Oconvergent(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_f____,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_19,plain,
    ( lhs_atom20
    | $false ),
    inference(fold_definition,[status(thm)],[cls_conv1_0_0,def_lhs_atom20]) ).

fof(def_lhs_atom21,axiom,
    ( lhs_atom21
  <=> c_SEQ_Osubseq(v_ga____) ),
    inference(definition,[],]) ).

fof(to_be_clausified_20,plain,
    ( lhs_atom21
    | $false ),
    inference(fold_definition,[status(thm)],[cls_g_I1_J_0_0,def_lhs_atom21]) ).

fof(def_lhs_atom22,axiom,
    ! [V_y,V_x] :
      ( lhs_atom22(V_y,V_x)
    <=> hAPP(c_Complex_OIm,c_Complex_Ocomplex_OComplex(V_x,V_y)) = V_y ),
    inference(definition,[],]) ).

fof(to_be_clausified_21,plain,
    ! [V_x,V_y] :
      ( lhs_atom22(V_y,V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Im_0_0,def_lhs_atom22]) ).

fof(def_lhs_atom23,axiom,
    ( lhs_atom23
  <=> c_SEQ_Omonoseq(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_22,plain,
    ( lhs_atom23
    | $false ),
    inference(fold_definition,[status(thm)],[cls_g_I2_J_0_0,def_lhs_atom23]) ).

fof(def_lhs_atom24,axiom,
    ! [V_g,V_A,T_a] :
      ( lhs_atom24(V_g,V_A,T_a)
    <=> hAPP(c_Complex_OIm,c_Finite__Set_Osetsum(V_g,V_A,T_a,tc_Complex_Ocomplex)) = c_Finite__Set_Osetsum(c_COMBB(c_Complex_OIm,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_A,T_a,tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_23,plain,
    ! [T_a,V_A,V_g] :
      ( lhs_atom24(V_g,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Im_Osetsum_0_0,def_lhs_atom24]) ).

fof(def_lhs_atom25,axiom,
    ( lhs_atom25
  <=> c_SEQ_Oconvergent(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_24,plain,
    ( lhs_atom25
    | $false ),
    inference(fold_definition,[status(thm)],[cls_conv2_0_0,def_lhs_atom25]) ).

fof(def_lhs_atom26,axiom,
    ( lhs_atom26
  <=> c_SEQ_Osubseq(v_f____) ),
    inference(definition,[],]) ).

fof(to_be_clausified_25,plain,
    ( lhs_atom26
    | $false ),
    inference(fold_definition,[status(thm)],[cls_f_I1_J_0_0,def_lhs_atom26]) ).

fof(def_lhs_atom27,axiom,
    ! [V_a] :
      ( lhs_atom27(V_a)
    <=> c_Lim_OisCont(c_Complex_OIm,V_a,tc_Complex_Ocomplex,tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_26,plain,
    ! [V_a] :
      ( lhs_atom27(V_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Im_OisCont_0_0,def_lhs_atom27]) ).

fof(def_lhs_atom28,axiom,
    ! [V_R,V_Q,V_P,T_c,T_b,T_a] :
      ( lhs_atom28(V_R,V_Q,V_P,T_c,T_b,T_a)
    <=> hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_27,plain,
    ! [T_a,T_b,T_c,V_P,V_Q,V_R] :
      ( lhs_atom28(V_R,V_Q,V_P,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_COMBB__def_0_0,def_lhs_atom28]) ).

fof(def_lhs_atom29,axiom,
    ( lhs_atom29
  <=> c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_f____,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_28,plain,
    ( lhs_atom29
    | $false ),
    inference(fold_definition,[status(thm)],[cls_f_I2_J_0_0,def_lhs_atom29]) ).

fof(def_lhs_atom30,axiom,
    ( lhs_atom30
  <=> c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),v_sko__CHAINED__1(v_f____,v_ga____,v_s),tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_29,plain,
    ( lhs_atom30
    | $false ),
    inference(fold_definition,[status(thm)],[cls_CHAINED_0_0,def_lhs_atom30]) ).

fof(def_lhs_atom31,axiom,
    ( lhs_atom31
  <=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_30,plain,
    ( lhs_atom31
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add_0,def_lhs_atom31]) ).

fof(def_lhs_atom32,axiom,
    ( lhs_atom32
  <=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_31,plain,
    ( lhs_atom32
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Ocancel__semigroup__add_0,def_lhs_atom32]) ).

fof(def_lhs_atom33,axiom,
    ( lhs_atom33
  <=> class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_32,plain,
    ( lhs_atom33
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Ono__zero__divisors_0,def_lhs_atom33]) ).

fof(def_lhs_atom34,axiom,
    ( lhs_atom34
  <=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_33,plain,
    ( lhs_atom34
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Ocomm__semiring__1_0,def_lhs_atom34]) ).

fof(def_lhs_atom35,axiom,
    ( lhs_atom35
  <=> class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_34,plain,
    ( lhs_atom35
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Oab__semigroup__mult_0,def_lhs_atom35]) ).

fof(def_lhs_atom36,axiom,
    ( lhs_atom36
  <=> class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_35,plain,
    ( lhs_atom36
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Oab__semigroup__add_0,def_lhs_atom36]) ).

fof(def_lhs_atom37,axiom,
    ( lhs_atom37
  <=> class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_36,plain,
    ( lhs_atom37
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Ocomm__semiring_0,def_lhs_atom37]) ).

fof(def_lhs_atom38,axiom,
    ( lhs_atom38
  <=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_37,plain,
    ( lhs_atom38
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Ocomm__monoid__add_0,def_lhs_atom38]) ).

fof(def_lhs_atom39,axiom,
    ( lhs_atom39
  <=> class_Ring__and__Field_Osemiring__0(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_38,plain,
    ( lhs_atom39
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Osemiring__0_0,def_lhs_atom39]) ).

fof(def_lhs_atom40,axiom,
    ( lhs_atom40
  <=> class_Ring__and__Field_Omult__zero(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_39,plain,
    ( lhs_atom40
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Omult__zero_0,def_lhs_atom40]) ).

fof(def_lhs_atom41,axiom,
    ( lhs_atom41
  <=> class_Ring__and__Field_Osemiring(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_40,plain,
    ( lhs_atom41
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Osemiring_0,def_lhs_atom41]) ).

fof(def_lhs_atom42,axiom,
    ( lhs_atom42
  <=> class_OrderedGroup_Omonoid__add(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_41,plain,
    ( lhs_atom42
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Omonoid__add_0,def_lhs_atom42]) ).

fof(def_lhs_atom43,axiom,
    ( lhs_atom43
  <=> class_HOL_Ozero(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_42,plain,
    ( lhs_atom43
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__HOL_Ozero_0,def_lhs_atom43]) ).

fof(def_lhs_atom44,axiom,
    ( lhs_atom44
  <=> class_Lattices_Oboolean__algebra(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_43,plain,
    ( lhs_atom44
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Oboolean__algebra_0,def_lhs_atom44]) ).

fof(def_lhs_atom45,axiom,
    ( lhs_atom45
  <=> class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_44,plain,
    ( lhs_atom45
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors_0,def_lhs_atom45]) ).

fof(def_lhs_atom46,axiom,
    ( lhs_atom46
  <=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_45,plain,
    ( lhs_atom46
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add_0,def_lhs_atom46]) ).

fof(def_lhs_atom47,axiom,
    ( lhs_atom47
  <=> class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_46,plain,
    ( lhs_atom47
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict_0,def_lhs_atom47]) ).

fof(def_lhs_atom48,axiom,
    ( lhs_atom48
  <=> class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_47,plain,
    ( lhs_atom48
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra_0,def_lhs_atom48]) ).

fof(def_lhs_atom49,axiom,
    ( lhs_atom49
  <=> class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_48,plain,
    ( lhs_atom49
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add_0,def_lhs_atom49]) ).

fof(def_lhs_atom50,axiom,
    ( lhs_atom50
  <=> class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_49,plain,
    ( lhs_atom50
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add_0,def_lhs_atom50]) ).

fof(def_lhs_atom51,axiom,
    ( lhs_atom51
  <=> class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_50,plain,
    ( lhs_atom51
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add_0,def_lhs_atom51]) ).

fof(def_lhs_atom52,axiom,
    ( lhs_atom52
  <=> class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_51,plain,
    ( lhs_atom52
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1_0,def_lhs_atom52]) ).

fof(def_lhs_atom53,axiom,
    ( lhs_atom53
  <=> class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_52,plain,
    ( lhs_atom53
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors_0,def_lhs_atom53]) ).

fof(def_lhs_atom54,axiom,
    ( lhs_atom54
  <=> class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_53,plain,
    ( lhs_atom54
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero_0,def_lhs_atom54]) ).

fof(def_lhs_atom55,axiom,
    ( lhs_atom55
  <=> class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_54,plain,
    ( lhs_atom55
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1_0,def_lhs_atom55]) ).

fof(def_lhs_atom56,axiom,
    ( lhs_atom56
  <=> class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_55,plain,
    ( lhs_atom56
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra_0,def_lhs_atom56]) ).

fof(def_lhs_atom57,axiom,
    ( lhs_atom57
  <=> class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_56,plain,
    ( lhs_atom57
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult_0,def_lhs_atom57]) ).

fof(def_lhs_atom58,axiom,
    ( lhs_atom58
  <=> class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_57,plain,
    ( lhs_atom58
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector_0,def_lhs_atom58]) ).

fof(def_lhs_atom59,axiom,
    ( lhs_atom59
  <=> class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_58,plain,
    ( lhs_atom59
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add_0,def_lhs_atom59]) ).

fof(def_lhs_atom60,axiom,
    ( lhs_atom60
  <=> class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_59,plain,
    ( lhs_atom60
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Odivision__ring_0,def_lhs_atom60]) ).

fof(def_lhs_atom61,axiom,
    ( lhs_atom61
  <=> class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_60,plain,
    ( lhs_atom61
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring_0,def_lhs_atom61]) ).

fof(def_lhs_atom62,axiom,
    ( lhs_atom62
  <=> class_RealVector_Otopological__space(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_61,plain,
    ( lhs_atom62
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Otopological__space_0,def_lhs_atom62]) ).

fof(def_lhs_atom63,axiom,
    ( lhs_atom63
  <=> class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_62,plain,
    ( lhs_atom63
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__field_0,def_lhs_atom63]) ).

fof(def_lhs_atom64,axiom,
    ( lhs_atom64
  <=> class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_63,plain,
    ( lhs_atom64
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add_0,def_lhs_atom64]) ).

fof(def_lhs_atom65,axiom,
    ( lhs_atom65
  <=> class_Ring__and__Field_Osemiring__0(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_64,plain,
    ( lhs_atom65
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Osemiring__0_0,def_lhs_atom65]) ).

fof(def_lhs_atom66,axiom,
    ( lhs_atom66
  <=> class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_65,plain,
    ( lhs_atom66
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__algebra__1_0,def_lhs_atom66]) ).

fof(def_lhs_atom67,axiom,
    ( lhs_atom67
  <=> class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_66,plain,
    ( lhs_atom67
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add_0,def_lhs_atom67]) ).

fof(def_lhs_atom68,axiom,
    ( lhs_atom68
  <=> class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_67,plain,
    ( lhs_atom68
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero_0,def_lhs_atom68]) ).

fof(def_lhs_atom69,axiom,
    ( lhs_atom69
  <=> class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_68,plain,
    ( lhs_atom69
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Osemiring_0,def_lhs_atom69]) ).

fof(def_lhs_atom70,axiom,
    ( lhs_atom70
  <=> class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_69,plain,
    ( lhs_atom70
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__algebra_0,def_lhs_atom70]) ).

fof(def_lhs_atom71,axiom,
    ( lhs_atom71
  <=> class_RealVector_Ometric__space(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_70,plain,
    ( lhs_atom71
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Ometric__space_0,def_lhs_atom71]) ).

fof(def_lhs_atom72,axiom,
    ( lhs_atom72
  <=> class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_71,plain,
    ( lhs_atom72
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add_0,def_lhs_atom72]) ).

fof(def_lhs_atom73,axiom,
    ( lhs_atom73
  <=> class_RealVector_Oreal__vector(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_72,plain,
    ( lhs_atom73
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__vector_0,def_lhs_atom73]) ).

fof(def_lhs_atom74,axiom,
    ( lhs_atom74
  <=> class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_73,plain,
    ( lhs_atom74
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add_0,def_lhs_atom74]) ).

fof(def_lhs_atom75,axiom,
    ( lhs_atom75
  <=> class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_74,plain,
    ( lhs_atom75
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ofield_0,def_lhs_atom75]) ).

fof(def_lhs_atom76,axiom,
    ( lhs_atom76
  <=> class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_75,plain,
    ( lhs_atom76
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oring_0,def_lhs_atom76]) ).

fof(def_lhs_atom77,axiom,
    ( lhs_atom77
  <=> class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_76,plain,
    ( lhs_atom77
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oidom_0,def_lhs_atom77]) ).

fof(def_lhs_atom78,axiom,
    ( lhs_atom78
  <=> class_SEQ_Ocomplete__space(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_77,plain,
    ( lhs_atom78
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__SEQ_Ocomplete__space_0,def_lhs_atom78]) ).

fof(def_lhs_atom79,axiom,
    ( lhs_atom79
  <=> class_Int_Onumber__ring(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_78,plain,
    ( lhs_atom79
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Int_Onumber__ring_0,def_lhs_atom79]) ).

fof(def_lhs_atom80,axiom,
    ( lhs_atom80
  <=> class_SEQ_Obanach(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_79,plain,
    ( lhs_atom80
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__SEQ_Obanach_0,def_lhs_atom80]) ).

fof(def_lhs_atom81,axiom,
    ( lhs_atom81
  <=> class_HOL_Ozero(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_80,plain,
    ( lhs_atom81
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__HOL_Ozero_0,def_lhs_atom81]) ).

fof(def_lhs_atom82,axiom,
    ( lhs_atom82
  <=> class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_81,plain,
    ( lhs_atom82
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors_0,def_lhs_atom82]) ).

fof(def_lhs_atom83,axiom,
    ( lhs_atom83
  <=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_82,plain,
    ( lhs_atom83
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add_0,def_lhs_atom83]) ).

fof(def_lhs_atom84,axiom,
    ( lhs_atom84
  <=> class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_83,plain,
    ( lhs_atom84
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra_0,def_lhs_atom84]) ).

fof(def_lhs_atom85,axiom,
    ( lhs_atom85
  <=> class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_84,plain,
    ( lhs_atom85
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add_0,def_lhs_atom85]) ).

fof(def_lhs_atom86,axiom,
    ( lhs_atom86
  <=> class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_85,plain,
    ( lhs_atom86
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1_0,def_lhs_atom86]) ).

fof(def_lhs_atom87,axiom,
    ( lhs_atom87
  <=> class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_86,plain,
    ( lhs_atom87
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors_0,def_lhs_atom87]) ).

fof(def_lhs_atom88,axiom,
    ( lhs_atom88
  <=> class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_87,plain,
    ( lhs_atom88
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero_0,def_lhs_atom88]) ).

fof(def_lhs_atom89,axiom,
    ( lhs_atom89
  <=> class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_88,plain,
    ( lhs_atom89
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1_0,def_lhs_atom89]) ).

fof(def_lhs_atom90,axiom,
    ( lhs_atom90
  <=> class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_89,plain,
    ( lhs_atom90
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra_0,def_lhs_atom90]) ).

fof(def_lhs_atom91,axiom,
    ( lhs_atom91
  <=> class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_90,plain,
    ( lhs_atom91
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult_0,def_lhs_atom91]) ).

fof(def_lhs_atom92,axiom,
    ( lhs_atom92
  <=> class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_91,plain,
    ( lhs_atom92
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector_0,def_lhs_atom92]) ).

fof(def_lhs_atom93,axiom,
    ( lhs_atom93
  <=> class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_92,plain,
    ( lhs_atom93
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add_0,def_lhs_atom93]) ).

fof(def_lhs_atom94,axiom,
    ( lhs_atom94
  <=> class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_93,plain,
    ( lhs_atom94
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring_0,def_lhs_atom94]) ).

fof(def_lhs_atom95,axiom,
    ( lhs_atom95
  <=> class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_94,plain,
    ( lhs_atom95
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring_0,def_lhs_atom95]) ).

fof(def_lhs_atom96,axiom,
    ( lhs_atom96
  <=> class_RealVector_Otopological__space(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_95,plain,
    ( lhs_atom96
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Otopological__space_0,def_lhs_atom96]) ).

fof(def_lhs_atom97,axiom,
    ( lhs_atom97
  <=> class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_96,plain,
    ( lhs_atom97
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field_0,def_lhs_atom97]) ).

fof(def_lhs_atom98,axiom,
    ( lhs_atom98
  <=> class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_97,plain,
    ( lhs_atom98
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add_0,def_lhs_atom98]) ).

fof(def_lhs_atom99,axiom,
    ( lhs_atom99
  <=> class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_98,plain,
    ( lhs_atom99
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__0_0,def_lhs_atom99]) ).

fof(def_lhs_atom100,axiom,
    ( lhs_atom100
  <=> class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_99,plain,
    ( lhs_atom100
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1_0,def_lhs_atom100]) ).

fof(def_lhs_atom101,axiom,
    ( lhs_atom101
  <=> class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_100,plain,
    ( lhs_atom101
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add_0,def_lhs_atom101]) ).

fof(def_lhs_atom102,axiom,
    ( lhs_atom102
  <=> class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_101,plain,
    ( lhs_atom102
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero_0,def_lhs_atom102]) ).

fof(def_lhs_atom103,axiom,
    ( lhs_atom103
  <=> class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_102,plain,
    ( lhs_atom103
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring_0,def_lhs_atom103]) ).

fof(def_lhs_atom104,axiom,
    ( lhs_atom104
  <=> class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_103,plain,
    ( lhs_atom104
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__algebra_0,def_lhs_atom104]) ).

fof(def_lhs_atom105,axiom,
    ( lhs_atom105
  <=> class_RealVector_Ometric__space(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_104,plain,
    ( lhs_atom105
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Ometric__space_0,def_lhs_atom105]) ).

fof(def_lhs_atom106,axiom,
    ( lhs_atom106
  <=> class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_105,plain,
    ( lhs_atom106
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add_0,def_lhs_atom106]) ).

fof(def_lhs_atom107,axiom,
    ( lhs_atom107
  <=> class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_106,plain,
    ( lhs_atom107
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__vector_0,def_lhs_atom107]) ).

fof(def_lhs_atom108,axiom,
    ( lhs_atom108
  <=> class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_107,plain,
    ( lhs_atom108
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add_0,def_lhs_atom108]) ).

fof(def_lhs_atom109,axiom,
    ( lhs_atom109
  <=> class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_108,plain,
    ( lhs_atom109
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ofield_0,def_lhs_atom109]) ).

fof(def_lhs_atom110,axiom,
    ( lhs_atom110
  <=> class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_109,plain,
    ( lhs_atom110
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oring_0,def_lhs_atom110]) ).

fof(def_lhs_atom111,axiom,
    ( lhs_atom111
  <=> class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_110,plain,
    ( lhs_atom111
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oidom_0,def_lhs_atom111]) ).

fof(def_lhs_atom112,axiom,
    ( lhs_atom112
  <=> class_SEQ_Ocomplete__space(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_111,plain,
    ( lhs_atom112
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__SEQ_Ocomplete__space_0,def_lhs_atom112]) ).

fof(def_lhs_atom113,axiom,
    ( lhs_atom113
  <=> class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_112,plain,
    ( lhs_atom113
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Int_Onumber__ring_0,def_lhs_atom113]) ).

fof(def_lhs_atom114,axiom,
    ( lhs_atom114
  <=> class_SEQ_Obanach(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_113,plain,
    ( lhs_atom114
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__SEQ_Obanach_0,def_lhs_atom114]) ).

fof(def_lhs_atom115,axiom,
    ( lhs_atom115
  <=> class_HOL_Ozero(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_114,plain,
    ( lhs_atom115
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__HOL_Ozero_0,def_lhs_atom115]) ).

fof(to_be_clausified_115,plain,
    ! [T_a,T_b,T_c,V_P,V_Q,V_R] :
      ( lhs_atom9(V_R,V_Q,V_P,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ATP__Linkup_OCOMBC__def_0_0,def_lhs_atom9]) ).

fof(to_be_clausified_116,plain,
    ! [T_a,T_b,T_c,V_P,V_Q,V_R] :
      ( lhs_atom28(V_R,V_Q,V_P,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ATP__Linkup_OCOMBB__def_0_0,def_lhs_atom28]) ).

fof(def_lhs_atom116,axiom,
    ! [V_x,T_a] :
      ( lhs_atom116(V_x,T_a)
    <=> c_fequal(V_x,V_x,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_117,plain,
    ! [T_a,V_x] :
      ( lhs_atom116(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ATP__Linkup_Oequal__imp__fequal_0_0,def_lhs_atom116]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X11,X12,X13,X14,X15,X6] :
      ( lhs_atom28(X11,X12,X13,X14,X15,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_116) ).

fof(c_0_1,axiom,
    ! [X11,X12,X13,X14,X15,X6] :
      ( lhs_atom9(X11,X12,X13,X14,X15,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_115) ).

fof(c_0_2,axiom,
    ! [X11,X12,X13,X14,X15,X6] :
      ( lhs_atom28(X11,X12,X13,X14,X15,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_27) ).

fof(c_0_3,axiom,
    ! [X4,X16,X5,X14,X15,X6] :
      ( lhs_atom19(X4,X16,X5,X14,X15,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_18) ).

fof(c_0_4,axiom,
    ! [X11,X12,X13,X14,X15,X6] :
      ( lhs_atom9(X11,X12,X13,X14,X15,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_8) ).

fof(c_0_5,axiom,
    ! [X12,X13,X15,X6] :
      ( lhs_atom10(X12,X13,X15,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_9) ).

fof(c_0_6,axiom,
    ! [X4,X5,X6] :
      ( lhs_atom24(X4,X5,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_23) ).

fof(c_0_7,axiom,
    ! [X8,X9,X10] :
      ( lhs_atom8(X8,X9,X10)
      | ~ $true ),
    file('<stdin>',to_be_clausified_7) ).

fof(c_0_8,axiom,
    ! [X1,X3,X7] :
      ( lhs_atom7(X1,X3,X7)
      | ~ $true ),
    file('<stdin>',to_be_clausified_6) ).

fof(c_0_9,axiom,
    ! [X4,X5,X6] :
      ( lhs_atom6(X4,X5,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_10,axiom,
    ! [X10,X6] :
      ( lhs_atom116(X10,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_117) ).

fof(c_0_11,axiom,
    ! [X9,X10] :
      ( lhs_atom22(X9,X10)
      | ~ $true ),
    file('<stdin>',to_be_clausified_21) ).

fof(c_0_12,axiom,
    ! [X9,X10] :
      ( lhs_atom16(X9,X10)
      | ~ $true ),
    file('<stdin>',to_be_clausified_15) ).

fof(c_0_13,axiom,
    ! [X1,X3] :
      ( lhs_atom13(X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_12) ).

fof(c_0_14,axiom,
    ! [X1,X3] :
      ( lhs_atom12(X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_11) ).

fof(c_0_15,axiom,
    ! [X1,X3] :
      ( lhs_atom11(X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_10) ).

fof(c_0_16,axiom,
    ! [X1,X3] :
      ( lhs_atom4(X1,X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_17,axiom,
    ! [X2] :
      ( lhs_atom27(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_26) ).

fof(c_0_18,axiom,
    ! [X2] :
      ( lhs_atom17(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_16) ).

fof(c_0_19,axiom,
    ! [X8] :
      ( lhs_atom14(X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_13) ).

fof(c_0_20,axiom,
    ! [X2] :
      ( lhs_atom5(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_21,axiom,
    ! [X2] :
      ( lhs_atom3(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_22,axiom,
    ! [X1] :
      ( lhs_atom2(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_23,axiom,
    ! [X1] :
      ( lhs_atom1(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_24,axiom,
    ( lhs_atom115
    | ~ $true ),
    file('<stdin>',to_be_clausified_114) ).

fof(c_0_25,axiom,
    ( lhs_atom114
    | ~ $true ),
    file('<stdin>',to_be_clausified_113) ).

fof(c_0_26,axiom,
    ( lhs_atom113
    | ~ $true ),
    file('<stdin>',to_be_clausified_112) ).

fof(c_0_27,axiom,
    ( lhs_atom112
    | ~ $true ),
    file('<stdin>',to_be_clausified_111) ).

fof(c_0_28,axiom,
    ( lhs_atom111
    | ~ $true ),
    file('<stdin>',to_be_clausified_110) ).

fof(c_0_29,axiom,
    ( lhs_atom110
    | ~ $true ),
    file('<stdin>',to_be_clausified_109) ).

fof(c_0_30,axiom,
    ( lhs_atom109
    | ~ $true ),
    file('<stdin>',to_be_clausified_108) ).

fof(c_0_31,axiom,
    ( lhs_atom108
    | ~ $true ),
    file('<stdin>',to_be_clausified_107) ).

fof(c_0_32,axiom,
    ( lhs_atom107
    | ~ $true ),
    file('<stdin>',to_be_clausified_106) ).

fof(c_0_33,axiom,
    ( lhs_atom106
    | ~ $true ),
    file('<stdin>',to_be_clausified_105) ).

fof(c_0_34,axiom,
    ( lhs_atom105
    | ~ $true ),
    file('<stdin>',to_be_clausified_104) ).

fof(c_0_35,axiom,
    ( lhs_atom104
    | ~ $true ),
    file('<stdin>',to_be_clausified_103) ).

fof(c_0_36,axiom,
    ( lhs_atom103
    | ~ $true ),
    file('<stdin>',to_be_clausified_102) ).

fof(c_0_37,axiom,
    ( lhs_atom102
    | ~ $true ),
    file('<stdin>',to_be_clausified_101) ).

fof(c_0_38,axiom,
    ( lhs_atom101
    | ~ $true ),
    file('<stdin>',to_be_clausified_100) ).

fof(c_0_39,axiom,
    ( lhs_atom100
    | ~ $true ),
    file('<stdin>',to_be_clausified_99) ).

fof(c_0_40,axiom,
    ( lhs_atom99
    | ~ $true ),
    file('<stdin>',to_be_clausified_98) ).

fof(c_0_41,axiom,
    ( lhs_atom98
    | ~ $true ),
    file('<stdin>',to_be_clausified_97) ).

fof(c_0_42,axiom,
    ( lhs_atom97
    | ~ $true ),
    file('<stdin>',to_be_clausified_96) ).

fof(c_0_43,axiom,
    ( lhs_atom96
    | ~ $true ),
    file('<stdin>',to_be_clausified_95) ).

fof(c_0_44,axiom,
    ( lhs_atom95
    | ~ $true ),
    file('<stdin>',to_be_clausified_94) ).

fof(c_0_45,axiom,
    ( lhs_atom94
    | ~ $true ),
    file('<stdin>',to_be_clausified_93) ).

fof(c_0_46,axiom,
    ( lhs_atom93
    | ~ $true ),
    file('<stdin>',to_be_clausified_92) ).

fof(c_0_47,axiom,
    ( lhs_atom92
    | ~ $true ),
    file('<stdin>',to_be_clausified_91) ).

fof(c_0_48,axiom,
    ( lhs_atom91
    | ~ $true ),
    file('<stdin>',to_be_clausified_90) ).

fof(c_0_49,axiom,
    ( lhs_atom90
    | ~ $true ),
    file('<stdin>',to_be_clausified_89) ).

fof(c_0_50,axiom,
    ( lhs_atom89
    | ~ $true ),
    file('<stdin>',to_be_clausified_88) ).

fof(c_0_51,axiom,
    ( lhs_atom88
    | ~ $true ),
    file('<stdin>',to_be_clausified_87) ).

fof(c_0_52,axiom,
    ( lhs_atom87
    | ~ $true ),
    file('<stdin>',to_be_clausified_86) ).

fof(c_0_53,axiom,
    ( lhs_atom86
    | ~ $true ),
    file('<stdin>',to_be_clausified_85) ).

fof(c_0_54,axiom,
    ( lhs_atom85
    | ~ $true ),
    file('<stdin>',to_be_clausified_84) ).

fof(c_0_55,axiom,
    ( lhs_atom84
    | ~ $true ),
    file('<stdin>',to_be_clausified_83) ).

fof(c_0_56,axiom,
    ( lhs_atom83
    | ~ $true ),
    file('<stdin>',to_be_clausified_82) ).

fof(c_0_57,axiom,
    ( lhs_atom82
    | ~ $true ),
    file('<stdin>',to_be_clausified_81) ).

fof(c_0_58,axiom,
    ( lhs_atom81
    | ~ $true ),
    file('<stdin>',to_be_clausified_80) ).

fof(c_0_59,axiom,
    ( lhs_atom80
    | ~ $true ),
    file('<stdin>',to_be_clausified_79) ).

fof(c_0_60,axiom,
    ( lhs_atom79
    | ~ $true ),
    file('<stdin>',to_be_clausified_78) ).

fof(c_0_61,axiom,
    ( lhs_atom78
    | ~ $true ),
    file('<stdin>',to_be_clausified_77) ).

fof(c_0_62,axiom,
    ( lhs_atom77
    | ~ $true ),
    file('<stdin>',to_be_clausified_76) ).

fof(c_0_63,axiom,
    ( lhs_atom76
    | ~ $true ),
    file('<stdin>',to_be_clausified_75) ).

fof(c_0_64,axiom,
    ( lhs_atom75
    | ~ $true ),
    file('<stdin>',to_be_clausified_74) ).

fof(c_0_65,axiom,
    ( lhs_atom74
    | ~ $true ),
    file('<stdin>',to_be_clausified_73) ).

fof(c_0_66,axiom,
    ( lhs_atom73
    | ~ $true ),
    file('<stdin>',to_be_clausified_72) ).

fof(c_0_67,axiom,
    ( lhs_atom72
    | ~ $true ),
    file('<stdin>',to_be_clausified_71) ).

fof(c_0_68,axiom,
    ( lhs_atom71
    | ~ $true ),
    file('<stdin>',to_be_clausified_70) ).

fof(c_0_69,axiom,
    ( lhs_atom70
    | ~ $true ),
    file('<stdin>',to_be_clausified_69) ).

fof(c_0_70,axiom,
    ( lhs_atom69
    | ~ $true ),
    file('<stdin>',to_be_clausified_68) ).

fof(c_0_71,axiom,
    ( lhs_atom68
    | ~ $true ),
    file('<stdin>',to_be_clausified_67) ).

fof(c_0_72,axiom,
    ( lhs_atom67
    | ~ $true ),
    file('<stdin>',to_be_clausified_66) ).

fof(c_0_73,axiom,
    ( lhs_atom66
    | ~ $true ),
    file('<stdin>',to_be_clausified_65) ).

fof(c_0_74,axiom,
    ( lhs_atom65
    | ~ $true ),
    file('<stdin>',to_be_clausified_64) ).

fof(c_0_75,axiom,
    ( lhs_atom64
    | ~ $true ),
    file('<stdin>',to_be_clausified_63) ).

fof(c_0_76,axiom,
    ( lhs_atom63
    | ~ $true ),
    file('<stdin>',to_be_clausified_62) ).

fof(c_0_77,axiom,
    ( lhs_atom62
    | ~ $true ),
    file('<stdin>',to_be_clausified_61) ).

fof(c_0_78,axiom,
    ( lhs_atom61
    | ~ $true ),
    file('<stdin>',to_be_clausified_60) ).

fof(c_0_79,axiom,
    ( lhs_atom60
    | ~ $true ),
    file('<stdin>',to_be_clausified_59) ).

fof(c_0_80,axiom,
    ( lhs_atom59
    | ~ $true ),
    file('<stdin>',to_be_clausified_58) ).

fof(c_0_81,axiom,
    ( lhs_atom58
    | ~ $true ),
    file('<stdin>',to_be_clausified_57) ).

fof(c_0_82,axiom,
    ( lhs_atom57
    | ~ $true ),
    file('<stdin>',to_be_clausified_56) ).

fof(c_0_83,axiom,
    ( lhs_atom56
    | ~ $true ),
    file('<stdin>',to_be_clausified_55) ).

fof(c_0_84,axiom,
    ( lhs_atom55
    | ~ $true ),
    file('<stdin>',to_be_clausified_54) ).

fof(c_0_85,axiom,
    ( lhs_atom54
    | ~ $true ),
    file('<stdin>',to_be_clausified_53) ).

fof(c_0_86,axiom,
    ( lhs_atom53
    | ~ $true ),
    file('<stdin>',to_be_clausified_52) ).

fof(c_0_87,axiom,
    ( lhs_atom52
    | ~ $true ),
    file('<stdin>',to_be_clausified_51) ).

fof(c_0_88,axiom,
    ( lhs_atom51
    | ~ $true ),
    file('<stdin>',to_be_clausified_50) ).

fof(c_0_89,axiom,
    ( lhs_atom50
    | ~ $true ),
    file('<stdin>',to_be_clausified_49) ).

fof(c_0_90,axiom,
    ( lhs_atom49
    | ~ $true ),
    file('<stdin>',to_be_clausified_48) ).

fof(c_0_91,axiom,
    ( lhs_atom48
    | ~ $true ),
    file('<stdin>',to_be_clausified_47) ).

fof(c_0_92,axiom,
    ( lhs_atom47
    | ~ $true ),
    file('<stdin>',to_be_clausified_46) ).

fof(c_0_93,axiom,
    ( lhs_atom46
    | ~ $true ),
    file('<stdin>',to_be_clausified_45) ).

fof(c_0_94,axiom,
    ( lhs_atom45
    | ~ $true ),
    file('<stdin>',to_be_clausified_44) ).

fof(c_0_95,axiom,
    ( lhs_atom44
    | ~ $true ),
    file('<stdin>',to_be_clausified_43) ).

fof(c_0_96,axiom,
    ( lhs_atom43
    | ~ $true ),
    file('<stdin>',to_be_clausified_42) ).

fof(c_0_97,axiom,
    ( lhs_atom42
    | ~ $true ),
    file('<stdin>',to_be_clausified_41) ).

fof(c_0_98,axiom,
    ( lhs_atom41
    | ~ $true ),
    file('<stdin>',to_be_clausified_40) ).

fof(c_0_99,axiom,
    ( lhs_atom40
    | ~ $true ),
    file('<stdin>',to_be_clausified_39) ).

fof(c_0_100,axiom,
    ( lhs_atom39
    | ~ $true ),
    file('<stdin>',to_be_clausified_38) ).

fof(c_0_101,axiom,
    ( lhs_atom38
    | ~ $true ),
    file('<stdin>',to_be_clausified_37) ).

fof(c_0_102,axiom,
    ( lhs_atom37
    | ~ $true ),
    file('<stdin>',to_be_clausified_36) ).

fof(c_0_103,axiom,
    ( lhs_atom36
    | ~ $true ),
    file('<stdin>',to_be_clausified_35) ).

fof(c_0_104,axiom,
    ( lhs_atom35
    | ~ $true ),
    file('<stdin>',to_be_clausified_34) ).

fof(c_0_105,axiom,
    ( lhs_atom34
    | ~ $true ),
    file('<stdin>',to_be_clausified_33) ).

fof(c_0_106,axiom,
    ( lhs_atom33
    | ~ $true ),
    file('<stdin>',to_be_clausified_32) ).

fof(c_0_107,axiom,
    ( lhs_atom32
    | ~ $true ),
    file('<stdin>',to_be_clausified_31) ).

fof(c_0_108,axiom,
    ( lhs_atom31
    | ~ $true ),
    file('<stdin>',to_be_clausified_30) ).

fof(c_0_109,axiom,
    ( lhs_atom30
    | ~ $true ),
    file('<stdin>',to_be_clausified_29) ).

fof(c_0_110,axiom,
    ( lhs_atom29
    | ~ $true ),
    file('<stdin>',to_be_clausified_28) ).

fof(c_0_111,axiom,
    ( lhs_atom26
    | ~ $true ),
    file('<stdin>',to_be_clausified_25) ).

fof(c_0_112,axiom,
    ( lhs_atom25
    | ~ $true ),
    file('<stdin>',to_be_clausified_24) ).

fof(c_0_113,axiom,
    ( lhs_atom23
    | ~ $true ),
    file('<stdin>',to_be_clausified_22) ).

fof(c_0_114,axiom,
    ( lhs_atom21
    | ~ $true ),
    file('<stdin>',to_be_clausified_20) ).

fof(c_0_115,axiom,
    ( lhs_atom20
    | ~ $true ),
    file('<stdin>',to_be_clausified_19) ).

fof(c_0_116,axiom,
    ( lhs_atom18
    | ~ $true ),
    file('<stdin>',to_be_clausified_17) ).

fof(c_0_117,axiom,
    ( lhs_atom15
    | ~ $true ),
    file('<stdin>',to_be_clausified_14) ).

fof(c_0_118,plain,
    ! [X11,X12,X13,X14,X15,X6] : lhs_atom28(X11,X12,X13,X14,X15,X6),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_119,plain,
    ! [X11,X12,X13,X14,X15,X6] : lhs_atom9(X11,X12,X13,X14,X15,X6),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_120,plain,
    ! [X11,X12,X13,X14,X15,X6] : lhs_atom28(X11,X12,X13,X14,X15,X6),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_121,plain,
    ! [X4,X16,X5,X14,X15,X6] : lhs_atom19(X4,X16,X5,X14,X15,X6),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_122,plain,
    ! [X11,X12,X13,X14,X15,X6] : lhs_atom9(X11,X12,X13,X14,X15,X6),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_123,plain,
    ! [X12,X13,X15,X6] : lhs_atom10(X12,X13,X15,X6),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_124,plain,
    ! [X4,X5,X6] : lhs_atom24(X4,X5,X6),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_125,plain,
    ! [X8,X9,X10] : lhs_atom8(X8,X9,X10),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_126,plain,
    ! [X1,X3,X7] : lhs_atom7(X1,X3,X7),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_127,plain,
    ! [X4,X5,X6] : lhs_atom6(X4,X5,X6),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_128,plain,
    ! [X10,X6] : lhs_atom116(X10,X6),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_129,plain,
    ! [X9,X10] : lhs_atom22(X9,X10),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_130,plain,
    ! [X9,X10] : lhs_atom16(X9,X10),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_131,plain,
    ! [X1,X3] : lhs_atom13(X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_132,plain,
    ! [X1,X3] : lhs_atom12(X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_133,plain,
    ! [X1,X3] : lhs_atom11(X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_134,plain,
    ! [X1,X3] : lhs_atom4(X1,X3),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_135,plain,
    ! [X2] : lhs_atom27(X2),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_136,plain,
    ! [X2] : lhs_atom17(X2),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_137,plain,
    ! [X8] : lhs_atom14(X8),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_138,plain,
    ! [X2] : lhs_atom5(X2),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_139,plain,
    ! [X2] : lhs_atom3(X2),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_140,plain,
    ! [X1] : lhs_atom2(X1),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_141,plain,
    ! [X1] : lhs_atom1(X1),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_142,plain,
    lhs_atom115,
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_143,plain,
    lhs_atom114,
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_144,plain,
    lhs_atom113,
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_145,plain,
    lhs_atom112,
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_146,plain,
    lhs_atom111,
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_147,plain,
    lhs_atom110,
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_148,plain,
    lhs_atom109,
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_149,plain,
    lhs_atom108,
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_150,plain,
    lhs_atom107,
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_151,plain,
    lhs_atom106,
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_152,plain,
    lhs_atom105,
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_153,plain,
    lhs_atom104,
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_154,plain,
    lhs_atom103,
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_155,plain,
    lhs_atom102,
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_156,plain,
    lhs_atom101,
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_157,plain,
    lhs_atom100,
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_158,plain,
    lhs_atom99,
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_159,plain,
    lhs_atom98,
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_160,plain,
    lhs_atom97,
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_161,plain,
    lhs_atom96,
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_162,plain,
    lhs_atom95,
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_163,plain,
    lhs_atom94,
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_164,plain,
    lhs_atom93,
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_165,plain,
    lhs_atom92,
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_166,plain,
    lhs_atom91,
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_167,plain,
    lhs_atom90,
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_168,plain,
    lhs_atom89,
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_169,plain,
    lhs_atom88,
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_170,plain,
    lhs_atom87,
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_171,plain,
    lhs_atom86,
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_172,plain,
    lhs_atom85,
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_173,plain,
    lhs_atom84,
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_174,plain,
    lhs_atom83,
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_175,plain,
    lhs_atom82,
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_176,plain,
    lhs_atom81,
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_177,plain,
    lhs_atom80,
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_178,plain,
    lhs_atom79,
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_179,plain,
    lhs_atom78,
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_180,plain,
    lhs_atom77,
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_181,plain,
    lhs_atom76,
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_182,plain,
    lhs_atom75,
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_183,plain,
    lhs_atom74,
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_184,plain,
    lhs_atom73,
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_185,plain,
    lhs_atom72,
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_186,plain,
    lhs_atom71,
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_187,plain,
    lhs_atom70,
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_188,plain,
    lhs_atom69,
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_189,plain,
    lhs_atom68,
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_190,plain,
    lhs_atom67,
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_191,plain,
    lhs_atom66,
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_192,plain,
    lhs_atom65,
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_193,plain,
    lhs_atom64,
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_194,plain,
    lhs_atom63,
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_195,plain,
    lhs_atom62,
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_196,plain,
    lhs_atom61,
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_197,plain,
    lhs_atom60,
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_198,plain,
    lhs_atom59,
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_199,plain,
    lhs_atom58,
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_200,plain,
    lhs_atom57,
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_201,plain,
    lhs_atom56,
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_202,plain,
    lhs_atom55,
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_203,plain,
    lhs_atom54,
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_204,plain,
    lhs_atom53,
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_205,plain,
    lhs_atom52,
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_206,plain,
    lhs_atom51,
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_207,plain,
    lhs_atom50,
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_208,plain,
    lhs_atom49,
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_209,plain,
    lhs_atom48,
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_210,plain,
    lhs_atom47,
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_211,plain,
    lhs_atom46,
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_212,plain,
    lhs_atom45,
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_213,plain,
    lhs_atom44,
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_214,plain,
    lhs_atom43,
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_215,plain,
    lhs_atom42,
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_216,plain,
    lhs_atom41,
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_217,plain,
    lhs_atom40,
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_218,plain,
    lhs_atom39,
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_219,plain,
    lhs_atom38,
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_220,plain,
    lhs_atom37,
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_221,plain,
    lhs_atom36,
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_222,plain,
    lhs_atom35,
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_223,plain,
    lhs_atom34,
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_224,plain,
    lhs_atom33,
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_225,plain,
    lhs_atom32,
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_226,plain,
    lhs_atom31,
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_227,plain,
    lhs_atom30,
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_228,plain,
    lhs_atom29,
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_229,plain,
    lhs_atom26,
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_230,plain,
    lhs_atom25,
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_231,plain,
    lhs_atom23,
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_232,plain,
    lhs_atom21,
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_233,plain,
    lhs_atom20,
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_234,plain,
    lhs_atom18,
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_235,plain,
    lhs_atom15,
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_236,plain,
    ! [X16,X17,X18,X19,X20,X21] : lhs_atom28(X16,X17,X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_118]) ).

fof(c_0_237,plain,
    ! [X16,X17,X18,X19,X20,X21] : lhs_atom9(X16,X17,X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_119]) ).

fof(c_0_238,plain,
    ! [X16,X17,X18,X19,X20,X21] : lhs_atom28(X16,X17,X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_120]) ).

fof(c_0_239,plain,
    ! [X17,X18,X19,X20,X21,X22] : lhs_atom19(X17,X18,X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_121]) ).

fof(c_0_240,plain,
    ! [X16,X17,X18,X19,X20,X21] : lhs_atom9(X16,X17,X18,X19,X20,X21),
    inference(variable_rename,[status(thm)],[c_0_122]) ).

fof(c_0_241,plain,
    ! [X16,X17,X18,X19] : lhs_atom10(X16,X17,X18,X19),
    inference(variable_rename,[status(thm)],[c_0_123]) ).

fof(c_0_242,plain,
    ! [X7,X8,X9] : lhs_atom24(X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_124]) ).

fof(c_0_243,plain,
    ! [X11,X12,X13] : lhs_atom8(X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_125]) ).

fof(c_0_244,plain,
    ! [X8,X9,X10] : lhs_atom7(X8,X9,X10),
    inference(variable_rename,[status(thm)],[c_0_126]) ).

fof(c_0_245,plain,
    ! [X7,X8,X9] : lhs_atom6(X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_127]) ).

fof(c_0_246,plain,
    ! [X11,X12] : lhs_atom116(X11,X12),
    inference(variable_rename,[status(thm)],[c_0_128]) ).

fof(c_0_247,plain,
    ! [X11,X12] : lhs_atom22(X11,X12),
    inference(variable_rename,[status(thm)],[c_0_129]) ).

fof(c_0_248,plain,
    ! [X11,X12] : lhs_atom16(X11,X12),
    inference(variable_rename,[status(thm)],[c_0_130]) ).

fof(c_0_249,plain,
    ! [X4,X5] : lhs_atom13(X4,X5),
    inference(variable_rename,[status(thm)],[c_0_131]) ).

fof(c_0_250,plain,
    ! [X4,X5] : lhs_atom12(X4,X5),
    inference(variable_rename,[status(thm)],[c_0_132]) ).

fof(c_0_251,plain,
    ! [X4,X5] : lhs_atom11(X4,X5),
    inference(variable_rename,[status(thm)],[c_0_133]) ).

fof(c_0_252,plain,
    ! [X4,X5] : lhs_atom4(X4,X5),
    inference(variable_rename,[status(thm)],[c_0_134]) ).

fof(c_0_253,plain,
    ! [X3] : lhs_atom27(X3),
    inference(variable_rename,[status(thm)],[c_0_135]) ).

fof(c_0_254,plain,
    ! [X3] : lhs_atom17(X3),
    inference(variable_rename,[status(thm)],[c_0_136]) ).

fof(c_0_255,plain,
    ! [X9] : lhs_atom14(X9),
    inference(variable_rename,[status(thm)],[c_0_137]) ).

fof(c_0_256,plain,
    ! [X3] : lhs_atom5(X3),
    inference(variable_rename,[status(thm)],[c_0_138]) ).

fof(c_0_257,plain,
    ! [X3] : lhs_atom3(X3),
    inference(variable_rename,[status(thm)],[c_0_139]) ).

fof(c_0_258,plain,
    ! [X2] : lhs_atom2(X2),
    inference(variable_rename,[status(thm)],[c_0_140]) ).

fof(c_0_259,plain,
    ! [X2] : lhs_atom1(X2),
    inference(variable_rename,[status(thm)],[c_0_141]) ).

fof(c_0_260,plain,
    lhs_atom115,
    c_0_142 ).

fof(c_0_261,plain,
    lhs_atom114,
    c_0_143 ).

fof(c_0_262,plain,
    lhs_atom113,
    c_0_144 ).

fof(c_0_263,plain,
    lhs_atom112,
    c_0_145 ).

fof(c_0_264,plain,
    lhs_atom111,
    c_0_146 ).

fof(c_0_265,plain,
    lhs_atom110,
    c_0_147 ).

fof(c_0_266,plain,
    lhs_atom109,
    c_0_148 ).

fof(c_0_267,plain,
    lhs_atom108,
    c_0_149 ).

fof(c_0_268,plain,
    lhs_atom107,
    c_0_150 ).

fof(c_0_269,plain,
    lhs_atom106,
    c_0_151 ).

fof(c_0_270,plain,
    lhs_atom105,
    c_0_152 ).

fof(c_0_271,plain,
    lhs_atom104,
    c_0_153 ).

fof(c_0_272,plain,
    lhs_atom103,
    c_0_154 ).

fof(c_0_273,plain,
    lhs_atom102,
    c_0_155 ).

fof(c_0_274,plain,
    lhs_atom101,
    c_0_156 ).

fof(c_0_275,plain,
    lhs_atom100,
    c_0_157 ).

fof(c_0_276,plain,
    lhs_atom99,
    c_0_158 ).

fof(c_0_277,plain,
    lhs_atom98,
    c_0_159 ).

fof(c_0_278,plain,
    lhs_atom97,
    c_0_160 ).

fof(c_0_279,plain,
    lhs_atom96,
    c_0_161 ).

fof(c_0_280,plain,
    lhs_atom95,
    c_0_162 ).

fof(c_0_281,plain,
    lhs_atom94,
    c_0_163 ).

fof(c_0_282,plain,
    lhs_atom93,
    c_0_164 ).

fof(c_0_283,plain,
    lhs_atom92,
    c_0_165 ).

fof(c_0_284,plain,
    lhs_atom91,
    c_0_166 ).

fof(c_0_285,plain,
    lhs_atom90,
    c_0_167 ).

fof(c_0_286,plain,
    lhs_atom89,
    c_0_168 ).

fof(c_0_287,plain,
    lhs_atom88,
    c_0_169 ).

fof(c_0_288,plain,
    lhs_atom87,
    c_0_170 ).

fof(c_0_289,plain,
    lhs_atom86,
    c_0_171 ).

fof(c_0_290,plain,
    lhs_atom85,
    c_0_172 ).

fof(c_0_291,plain,
    lhs_atom84,
    c_0_173 ).

fof(c_0_292,plain,
    lhs_atom83,
    c_0_174 ).

fof(c_0_293,plain,
    lhs_atom82,
    c_0_175 ).

fof(c_0_294,plain,
    lhs_atom81,
    c_0_176 ).

fof(c_0_295,plain,
    lhs_atom80,
    c_0_177 ).

fof(c_0_296,plain,
    lhs_atom79,
    c_0_178 ).

fof(c_0_297,plain,
    lhs_atom78,
    c_0_179 ).

fof(c_0_298,plain,
    lhs_atom77,
    c_0_180 ).

fof(c_0_299,plain,
    lhs_atom76,
    c_0_181 ).

fof(c_0_300,plain,
    lhs_atom75,
    c_0_182 ).

fof(c_0_301,plain,
    lhs_atom74,
    c_0_183 ).

fof(c_0_302,plain,
    lhs_atom73,
    c_0_184 ).

fof(c_0_303,plain,
    lhs_atom72,
    c_0_185 ).

fof(c_0_304,plain,
    lhs_atom71,
    c_0_186 ).

fof(c_0_305,plain,
    lhs_atom70,
    c_0_187 ).

fof(c_0_306,plain,
    lhs_atom69,
    c_0_188 ).

fof(c_0_307,plain,
    lhs_atom68,
    c_0_189 ).

fof(c_0_308,plain,
    lhs_atom67,
    c_0_190 ).

fof(c_0_309,plain,
    lhs_atom66,
    c_0_191 ).

fof(c_0_310,plain,
    lhs_atom65,
    c_0_192 ).

fof(c_0_311,plain,
    lhs_atom64,
    c_0_193 ).

fof(c_0_312,plain,
    lhs_atom63,
    c_0_194 ).

fof(c_0_313,plain,
    lhs_atom62,
    c_0_195 ).

fof(c_0_314,plain,
    lhs_atom61,
    c_0_196 ).

fof(c_0_315,plain,
    lhs_atom60,
    c_0_197 ).

fof(c_0_316,plain,
    lhs_atom59,
    c_0_198 ).

fof(c_0_317,plain,
    lhs_atom58,
    c_0_199 ).

fof(c_0_318,plain,
    lhs_atom57,
    c_0_200 ).

fof(c_0_319,plain,
    lhs_atom56,
    c_0_201 ).

fof(c_0_320,plain,
    lhs_atom55,
    c_0_202 ).

fof(c_0_321,plain,
    lhs_atom54,
    c_0_203 ).

fof(c_0_322,plain,
    lhs_atom53,
    c_0_204 ).

fof(c_0_323,plain,
    lhs_atom52,
    c_0_205 ).

fof(c_0_324,plain,
    lhs_atom51,
    c_0_206 ).

fof(c_0_325,plain,
    lhs_atom50,
    c_0_207 ).

fof(c_0_326,plain,
    lhs_atom49,
    c_0_208 ).

fof(c_0_327,plain,
    lhs_atom48,
    c_0_209 ).

fof(c_0_328,plain,
    lhs_atom47,
    c_0_210 ).

fof(c_0_329,plain,
    lhs_atom46,
    c_0_211 ).

fof(c_0_330,plain,
    lhs_atom45,
    c_0_212 ).

fof(c_0_331,plain,
    lhs_atom44,
    c_0_213 ).

fof(c_0_332,plain,
    lhs_atom43,
    c_0_214 ).

fof(c_0_333,plain,
    lhs_atom42,
    c_0_215 ).

fof(c_0_334,plain,
    lhs_atom41,
    c_0_216 ).

fof(c_0_335,plain,
    lhs_atom40,
    c_0_217 ).

fof(c_0_336,plain,
    lhs_atom39,
    c_0_218 ).

fof(c_0_337,plain,
    lhs_atom38,
    c_0_219 ).

fof(c_0_338,plain,
    lhs_atom37,
    c_0_220 ).

fof(c_0_339,plain,
    lhs_atom36,
    c_0_221 ).

fof(c_0_340,plain,
    lhs_atom35,
    c_0_222 ).

fof(c_0_341,plain,
    lhs_atom34,
    c_0_223 ).

fof(c_0_342,plain,
    lhs_atom33,
    c_0_224 ).

fof(c_0_343,plain,
    lhs_atom32,
    c_0_225 ).

fof(c_0_344,plain,
    lhs_atom31,
    c_0_226 ).

fof(c_0_345,plain,
    lhs_atom30,
    c_0_227 ).

fof(c_0_346,plain,
    lhs_atom29,
    c_0_228 ).

fof(c_0_347,plain,
    lhs_atom26,
    c_0_229 ).

fof(c_0_348,plain,
    lhs_atom25,
    c_0_230 ).

fof(c_0_349,plain,
    lhs_atom23,
    c_0_231 ).

fof(c_0_350,plain,
    lhs_atom21,
    c_0_232 ).

fof(c_0_351,plain,
    lhs_atom20,
    c_0_233 ).

fof(c_0_352,plain,
    lhs_atom18,
    c_0_234 ).

fof(c_0_353,plain,
    lhs_atom15,
    c_0_235 ).

cnf(c_0_354,plain,
    lhs_atom28(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_236]) ).

cnf(c_0_355,plain,
    lhs_atom9(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_237]) ).

cnf(c_0_356,plain,
    lhs_atom28(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_238]) ).

cnf(c_0_357,plain,
    lhs_atom19(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_239]) ).

cnf(c_0_358,plain,
    lhs_atom9(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_240]) ).

cnf(c_0_359,plain,
    lhs_atom10(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_241]) ).

cnf(c_0_360,plain,
    lhs_atom24(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_242]) ).

cnf(c_0_361,plain,
    lhs_atom8(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_243]) ).

cnf(c_0_362,plain,
    lhs_atom7(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_244]) ).

cnf(c_0_363,plain,
    lhs_atom6(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_245]) ).

cnf(c_0_364,plain,
    lhs_atom116(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_246]) ).

cnf(c_0_365,plain,
    lhs_atom22(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_247]) ).

cnf(c_0_366,plain,
    lhs_atom16(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_248]) ).

cnf(c_0_367,plain,
    lhs_atom13(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_249]) ).

cnf(c_0_368,plain,
    lhs_atom12(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_250]) ).

cnf(c_0_369,plain,
    lhs_atom11(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_251]) ).

cnf(c_0_370,plain,
    lhs_atom4(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_252]) ).

cnf(c_0_371,plain,
    lhs_atom27(X1),
    inference(split_conjunct,[status(thm)],[c_0_253]) ).

cnf(c_0_372,plain,
    lhs_atom17(X1),
    inference(split_conjunct,[status(thm)],[c_0_254]) ).

cnf(c_0_373,plain,
    lhs_atom14(X1),
    inference(split_conjunct,[status(thm)],[c_0_255]) ).

cnf(c_0_374,plain,
    lhs_atom5(X1),
    inference(split_conjunct,[status(thm)],[c_0_256]) ).

cnf(c_0_375,plain,
    lhs_atom3(X1),
    inference(split_conjunct,[status(thm)],[c_0_257]) ).

cnf(c_0_376,plain,
    lhs_atom2(X1),
    inference(split_conjunct,[status(thm)],[c_0_258]) ).

cnf(c_0_377,plain,
    lhs_atom1(X1),
    inference(split_conjunct,[status(thm)],[c_0_259]) ).

cnf(c_0_378,plain,
    lhs_atom115,
    inference(split_conjunct,[status(thm)],[c_0_260]) ).

cnf(c_0_379,plain,
    lhs_atom114,
    inference(split_conjunct,[status(thm)],[c_0_261]) ).

cnf(c_0_380,plain,
    lhs_atom113,
    inference(split_conjunct,[status(thm)],[c_0_262]) ).

cnf(c_0_381,plain,
    lhs_atom112,
    inference(split_conjunct,[status(thm)],[c_0_263]) ).

cnf(c_0_382,plain,
    lhs_atom111,
    inference(split_conjunct,[status(thm)],[c_0_264]) ).

cnf(c_0_383,plain,
    lhs_atom110,
    inference(split_conjunct,[status(thm)],[c_0_265]) ).

cnf(c_0_384,plain,
    lhs_atom109,
    inference(split_conjunct,[status(thm)],[c_0_266]) ).

cnf(c_0_385,plain,
    lhs_atom108,
    inference(split_conjunct,[status(thm)],[c_0_267]) ).

cnf(c_0_386,plain,
    lhs_atom107,
    inference(split_conjunct,[status(thm)],[c_0_268]) ).

cnf(c_0_387,plain,
    lhs_atom106,
    inference(split_conjunct,[status(thm)],[c_0_269]) ).

cnf(c_0_388,plain,
    lhs_atom105,
    inference(split_conjunct,[status(thm)],[c_0_270]) ).

cnf(c_0_389,plain,
    lhs_atom104,
    inference(split_conjunct,[status(thm)],[c_0_271]) ).

cnf(c_0_390,plain,
    lhs_atom103,
    inference(split_conjunct,[status(thm)],[c_0_272]) ).

cnf(c_0_391,plain,
    lhs_atom102,
    inference(split_conjunct,[status(thm)],[c_0_273]) ).

cnf(c_0_392,plain,
    lhs_atom101,
    inference(split_conjunct,[status(thm)],[c_0_274]) ).

cnf(c_0_393,plain,
    lhs_atom100,
    inference(split_conjunct,[status(thm)],[c_0_275]) ).

cnf(c_0_394,plain,
    lhs_atom99,
    inference(split_conjunct,[status(thm)],[c_0_276]) ).

cnf(c_0_395,plain,
    lhs_atom98,
    inference(split_conjunct,[status(thm)],[c_0_277]) ).

cnf(c_0_396,plain,
    lhs_atom97,
    inference(split_conjunct,[status(thm)],[c_0_278]) ).

cnf(c_0_397,plain,
    lhs_atom96,
    inference(split_conjunct,[status(thm)],[c_0_279]) ).

cnf(c_0_398,plain,
    lhs_atom95,
    inference(split_conjunct,[status(thm)],[c_0_280]) ).

cnf(c_0_399,plain,
    lhs_atom94,
    inference(split_conjunct,[status(thm)],[c_0_281]) ).

cnf(c_0_400,plain,
    lhs_atom93,
    inference(split_conjunct,[status(thm)],[c_0_282]) ).

cnf(c_0_401,plain,
    lhs_atom92,
    inference(split_conjunct,[status(thm)],[c_0_283]) ).

cnf(c_0_402,plain,
    lhs_atom91,
    inference(split_conjunct,[status(thm)],[c_0_284]) ).

cnf(c_0_403,plain,
    lhs_atom90,
    inference(split_conjunct,[status(thm)],[c_0_285]) ).

cnf(c_0_404,plain,
    lhs_atom89,
    inference(split_conjunct,[status(thm)],[c_0_286]) ).

cnf(c_0_405,plain,
    lhs_atom88,
    inference(split_conjunct,[status(thm)],[c_0_287]) ).

cnf(c_0_406,plain,
    lhs_atom87,
    inference(split_conjunct,[status(thm)],[c_0_288]) ).

cnf(c_0_407,plain,
    lhs_atom86,
    inference(split_conjunct,[status(thm)],[c_0_289]) ).

cnf(c_0_408,plain,
    lhs_atom85,
    inference(split_conjunct,[status(thm)],[c_0_290]) ).

cnf(c_0_409,plain,
    lhs_atom84,
    inference(split_conjunct,[status(thm)],[c_0_291]) ).

cnf(c_0_410,plain,
    lhs_atom83,
    inference(split_conjunct,[status(thm)],[c_0_292]) ).

cnf(c_0_411,plain,
    lhs_atom82,
    inference(split_conjunct,[status(thm)],[c_0_293]) ).

cnf(c_0_412,plain,
    lhs_atom81,
    inference(split_conjunct,[status(thm)],[c_0_294]) ).

cnf(c_0_413,plain,
    lhs_atom80,
    inference(split_conjunct,[status(thm)],[c_0_295]) ).

cnf(c_0_414,plain,
    lhs_atom79,
    inference(split_conjunct,[status(thm)],[c_0_296]) ).

cnf(c_0_415,plain,
    lhs_atom78,
    inference(split_conjunct,[status(thm)],[c_0_297]) ).

cnf(c_0_416,plain,
    lhs_atom77,
    inference(split_conjunct,[status(thm)],[c_0_298]) ).

cnf(c_0_417,plain,
    lhs_atom76,
    inference(split_conjunct,[status(thm)],[c_0_299]) ).

cnf(c_0_418,plain,
    lhs_atom75,
    inference(split_conjunct,[status(thm)],[c_0_300]) ).

cnf(c_0_419,plain,
    lhs_atom74,
    inference(split_conjunct,[status(thm)],[c_0_301]) ).

cnf(c_0_420,plain,
    lhs_atom73,
    inference(split_conjunct,[status(thm)],[c_0_302]) ).

cnf(c_0_421,plain,
    lhs_atom72,
    inference(split_conjunct,[status(thm)],[c_0_303]) ).

cnf(c_0_422,plain,
    lhs_atom71,
    inference(split_conjunct,[status(thm)],[c_0_304]) ).

cnf(c_0_423,plain,
    lhs_atom70,
    inference(split_conjunct,[status(thm)],[c_0_305]) ).

cnf(c_0_424,plain,
    lhs_atom69,
    inference(split_conjunct,[status(thm)],[c_0_306]) ).

cnf(c_0_425,plain,
    lhs_atom68,
    inference(split_conjunct,[status(thm)],[c_0_307]) ).

cnf(c_0_426,plain,
    lhs_atom67,
    inference(split_conjunct,[status(thm)],[c_0_308]) ).

cnf(c_0_427,plain,
    lhs_atom66,
    inference(split_conjunct,[status(thm)],[c_0_309]) ).

cnf(c_0_428,plain,
    lhs_atom65,
    inference(split_conjunct,[status(thm)],[c_0_310]) ).

cnf(c_0_429,plain,
    lhs_atom64,
    inference(split_conjunct,[status(thm)],[c_0_311]) ).

cnf(c_0_430,plain,
    lhs_atom63,
    inference(split_conjunct,[status(thm)],[c_0_312]) ).

cnf(c_0_431,plain,
    lhs_atom62,
    inference(split_conjunct,[status(thm)],[c_0_313]) ).

cnf(c_0_432,plain,
    lhs_atom61,
    inference(split_conjunct,[status(thm)],[c_0_314]) ).

cnf(c_0_433,plain,
    lhs_atom60,
    inference(split_conjunct,[status(thm)],[c_0_315]) ).

cnf(c_0_434,plain,
    lhs_atom59,
    inference(split_conjunct,[status(thm)],[c_0_316]) ).

cnf(c_0_435,plain,
    lhs_atom58,
    inference(split_conjunct,[status(thm)],[c_0_317]) ).

cnf(c_0_436,plain,
    lhs_atom57,
    inference(split_conjunct,[status(thm)],[c_0_318]) ).

cnf(c_0_437,plain,
    lhs_atom56,
    inference(split_conjunct,[status(thm)],[c_0_319]) ).

cnf(c_0_438,plain,
    lhs_atom55,
    inference(split_conjunct,[status(thm)],[c_0_320]) ).

cnf(c_0_439,plain,
    lhs_atom54,
    inference(split_conjunct,[status(thm)],[c_0_321]) ).

cnf(c_0_440,plain,
    lhs_atom53,
    inference(split_conjunct,[status(thm)],[c_0_322]) ).

cnf(c_0_441,plain,
    lhs_atom52,
    inference(split_conjunct,[status(thm)],[c_0_323]) ).

cnf(c_0_442,plain,
    lhs_atom51,
    inference(split_conjunct,[status(thm)],[c_0_324]) ).

cnf(c_0_443,plain,
    lhs_atom50,
    inference(split_conjunct,[status(thm)],[c_0_325]) ).

cnf(c_0_444,plain,
    lhs_atom49,
    inference(split_conjunct,[status(thm)],[c_0_326]) ).

cnf(c_0_445,plain,
    lhs_atom48,
    inference(split_conjunct,[status(thm)],[c_0_327]) ).

cnf(c_0_446,plain,
    lhs_atom47,
    inference(split_conjunct,[status(thm)],[c_0_328]) ).

cnf(c_0_447,plain,
    lhs_atom46,
    inference(split_conjunct,[status(thm)],[c_0_329]) ).

cnf(c_0_448,plain,
    lhs_atom45,
    inference(split_conjunct,[status(thm)],[c_0_330]) ).

cnf(c_0_449,plain,
    lhs_atom44,
    inference(split_conjunct,[status(thm)],[c_0_331]) ).

cnf(c_0_450,plain,
    lhs_atom43,
    inference(split_conjunct,[status(thm)],[c_0_332]) ).

cnf(c_0_451,plain,
    lhs_atom42,
    inference(split_conjunct,[status(thm)],[c_0_333]) ).

cnf(c_0_452,plain,
    lhs_atom41,
    inference(split_conjunct,[status(thm)],[c_0_334]) ).

cnf(c_0_453,plain,
    lhs_atom40,
    inference(split_conjunct,[status(thm)],[c_0_335]) ).

cnf(c_0_454,plain,
    lhs_atom39,
    inference(split_conjunct,[status(thm)],[c_0_336]) ).

cnf(c_0_455,plain,
    lhs_atom38,
    inference(split_conjunct,[status(thm)],[c_0_337]) ).

cnf(c_0_456,plain,
    lhs_atom37,
    inference(split_conjunct,[status(thm)],[c_0_338]) ).

cnf(c_0_457,plain,
    lhs_atom36,
    inference(split_conjunct,[status(thm)],[c_0_339]) ).

cnf(c_0_458,plain,
    lhs_atom35,
    inference(split_conjunct,[status(thm)],[c_0_340]) ).

cnf(c_0_459,plain,
    lhs_atom34,
    inference(split_conjunct,[status(thm)],[c_0_341]) ).

cnf(c_0_460,plain,
    lhs_atom33,
    inference(split_conjunct,[status(thm)],[c_0_342]) ).

cnf(c_0_461,plain,
    lhs_atom32,
    inference(split_conjunct,[status(thm)],[c_0_343]) ).

cnf(c_0_462,plain,
    lhs_atom31,
    inference(split_conjunct,[status(thm)],[c_0_344]) ).

cnf(c_0_463,plain,
    lhs_atom30,
    inference(split_conjunct,[status(thm)],[c_0_345]) ).

cnf(c_0_464,plain,
    lhs_atom29,
    inference(split_conjunct,[status(thm)],[c_0_346]) ).

cnf(c_0_465,plain,
    lhs_atom26,
    inference(split_conjunct,[status(thm)],[c_0_347]) ).

cnf(c_0_466,plain,
    lhs_atom25,
    inference(split_conjunct,[status(thm)],[c_0_348]) ).

cnf(c_0_467,plain,
    lhs_atom23,
    inference(split_conjunct,[status(thm)],[c_0_349]) ).

cnf(c_0_468,plain,
    lhs_atom21,
    inference(split_conjunct,[status(thm)],[c_0_350]) ).

cnf(c_0_469,plain,
    lhs_atom20,
    inference(split_conjunct,[status(thm)],[c_0_351]) ).

cnf(c_0_470,plain,
    lhs_atom18,
    inference(split_conjunct,[status(thm)],[c_0_352]) ).

cnf(c_0_471,plain,
    lhs_atom15,
    inference(split_conjunct,[status(thm)],[c_0_353]) ).

cnf(c_0_472,plain,
    lhs_atom28(X1,X2,X3,X4,X5,X6),
    c_0_354,
    [final] ).

cnf(c_0_473,plain,
    lhs_atom9(X1,X2,X3,X4,X5,X6),
    c_0_355,
    [final] ).

cnf(c_0_474,plain,
    lhs_atom28(X1,X2,X3,X4,X5,X6),
    c_0_356,
    [final] ).

cnf(c_0_475,plain,
    lhs_atom19(X1,X2,X3,X4,X5,X6),
    c_0_357,
    [final] ).

cnf(c_0_476,plain,
    lhs_atom9(X1,X2,X3,X4,X5,X6),
    c_0_358,
    [final] ).

cnf(c_0_477,plain,
    lhs_atom10(X1,X2,X3,X4),
    c_0_359,
    [final] ).

cnf(c_0_478,plain,
    lhs_atom24(X1,X2,X3),
    c_0_360,
    [final] ).

cnf(c_0_479,plain,
    lhs_atom8(X1,X2,X3),
    c_0_361,
    [final] ).

cnf(c_0_480,plain,
    lhs_atom7(X1,X2,X3),
    c_0_362,
    [final] ).

cnf(c_0_481,plain,
    lhs_atom6(X1,X2,X3),
    c_0_363,
    [final] ).

cnf(c_0_482,plain,
    lhs_atom116(X1,X2),
    c_0_364,
    [final] ).

cnf(c_0_483,plain,
    lhs_atom22(X1,X2),
    c_0_365,
    [final] ).

cnf(c_0_484,plain,
    lhs_atom16(X1,X2),
    c_0_366,
    [final] ).

cnf(c_0_485,plain,
    lhs_atom13(X1,X2),
    c_0_367,
    [final] ).

cnf(c_0_486,plain,
    lhs_atom12(X1,X2),
    c_0_368,
    [final] ).

cnf(c_0_487,plain,
    lhs_atom11(X1,X2),
    c_0_369,
    [final] ).

cnf(c_0_488,plain,
    lhs_atom4(X1,X2),
    c_0_370,
    [final] ).

cnf(c_0_489,plain,
    lhs_atom27(X1),
    c_0_371,
    [final] ).

cnf(c_0_490,plain,
    lhs_atom17(X1),
    c_0_372,
    [final] ).

cnf(c_0_491,plain,
    lhs_atom14(X1),
    c_0_373,
    [final] ).

cnf(c_0_492,plain,
    lhs_atom5(X1),
    c_0_374,
    [final] ).

cnf(c_0_493,plain,
    lhs_atom3(X1),
    c_0_375,
    [final] ).

cnf(c_0_494,plain,
    lhs_atom2(X1),
    c_0_376,
    [final] ).

cnf(c_0_495,plain,
    lhs_atom1(X1),
    c_0_377,
    [final] ).

cnf(c_0_496,plain,
    lhs_atom115,
    c_0_378,
    [final] ).

cnf(c_0_497,plain,
    lhs_atom114,
    c_0_379,
    [final] ).

cnf(c_0_498,plain,
    lhs_atom113,
    c_0_380,
    [final] ).

cnf(c_0_499,plain,
    lhs_atom112,
    c_0_381,
    [final] ).

cnf(c_0_500,plain,
    lhs_atom111,
    c_0_382,
    [final] ).

cnf(c_0_501,plain,
    lhs_atom110,
    c_0_383,
    [final] ).

cnf(c_0_502,plain,
    lhs_atom109,
    c_0_384,
    [final] ).

cnf(c_0_503,plain,
    lhs_atom108,
    c_0_385,
    [final] ).

cnf(c_0_504,plain,
    lhs_atom107,
    c_0_386,
    [final] ).

cnf(c_0_505,plain,
    lhs_atom106,
    c_0_387,
    [final] ).

cnf(c_0_506,plain,
    lhs_atom105,
    c_0_388,
    [final] ).

cnf(c_0_507,plain,
    lhs_atom104,
    c_0_389,
    [final] ).

cnf(c_0_508,plain,
    lhs_atom103,
    c_0_390,
    [final] ).

cnf(c_0_509,plain,
    lhs_atom102,
    c_0_391,
    [final] ).

cnf(c_0_510,plain,
    lhs_atom101,
    c_0_392,
    [final] ).

cnf(c_0_511,plain,
    lhs_atom100,
    c_0_393,
    [final] ).

cnf(c_0_512,plain,
    lhs_atom99,
    c_0_394,
    [final] ).

cnf(c_0_513,plain,
    lhs_atom98,
    c_0_395,
    [final] ).

cnf(c_0_514,plain,
    lhs_atom97,
    c_0_396,
    [final] ).

cnf(c_0_515,plain,
    lhs_atom96,
    c_0_397,
    [final] ).

cnf(c_0_516,plain,
    lhs_atom95,
    c_0_398,
    [final] ).

cnf(c_0_517,plain,
    lhs_atom94,
    c_0_399,
    [final] ).

cnf(c_0_518,plain,
    lhs_atom93,
    c_0_400,
    [final] ).

cnf(c_0_519,plain,
    lhs_atom92,
    c_0_401,
    [final] ).

cnf(c_0_520,plain,
    lhs_atom91,
    c_0_402,
    [final] ).

cnf(c_0_521,plain,
    lhs_atom90,
    c_0_403,
    [final] ).

cnf(c_0_522,plain,
    lhs_atom89,
    c_0_404,
    [final] ).

cnf(c_0_523,plain,
    lhs_atom88,
    c_0_405,
    [final] ).

cnf(c_0_524,plain,
    lhs_atom87,
    c_0_406,
    [final] ).

cnf(c_0_525,plain,
    lhs_atom86,
    c_0_407,
    [final] ).

cnf(c_0_526,plain,
    lhs_atom85,
    c_0_408,
    [final] ).

cnf(c_0_527,plain,
    lhs_atom84,
    c_0_409,
    [final] ).

cnf(c_0_528,plain,
    lhs_atom83,
    c_0_410,
    [final] ).

cnf(c_0_529,plain,
    lhs_atom82,
    c_0_411,
    [final] ).

cnf(c_0_530,plain,
    lhs_atom81,
    c_0_412,
    [final] ).

cnf(c_0_531,plain,
    lhs_atom80,
    c_0_413,
    [final] ).

cnf(c_0_532,plain,
    lhs_atom79,
    c_0_414,
    [final] ).

cnf(c_0_533,plain,
    lhs_atom78,
    c_0_415,
    [final] ).

cnf(c_0_534,plain,
    lhs_atom77,
    c_0_416,
    [final] ).

cnf(c_0_535,plain,
    lhs_atom76,
    c_0_417,
    [final] ).

cnf(c_0_536,plain,
    lhs_atom75,
    c_0_418,
    [final] ).

cnf(c_0_537,plain,
    lhs_atom74,
    c_0_419,
    [final] ).

cnf(c_0_538,plain,
    lhs_atom73,
    c_0_420,
    [final] ).

cnf(c_0_539,plain,
    lhs_atom72,
    c_0_421,
    [final] ).

cnf(c_0_540,plain,
    lhs_atom71,
    c_0_422,
    [final] ).

cnf(c_0_541,plain,
    lhs_atom70,
    c_0_423,
    [final] ).

cnf(c_0_542,plain,
    lhs_atom69,
    c_0_424,
    [final] ).

cnf(c_0_543,plain,
    lhs_atom68,
    c_0_425,
    [final] ).

cnf(c_0_544,plain,
    lhs_atom67,
    c_0_426,
    [final] ).

cnf(c_0_545,plain,
    lhs_atom66,
    c_0_427,
    [final] ).

cnf(c_0_546,plain,
    lhs_atom65,
    c_0_428,
    [final] ).

cnf(c_0_547,plain,
    lhs_atom64,
    c_0_429,
    [final] ).

cnf(c_0_548,plain,
    lhs_atom63,
    c_0_430,
    [final] ).

cnf(c_0_549,plain,
    lhs_atom62,
    c_0_431,
    [final] ).

cnf(c_0_550,plain,
    lhs_atom61,
    c_0_432,
    [final] ).

cnf(c_0_551,plain,
    lhs_atom60,
    c_0_433,
    [final] ).

cnf(c_0_552,plain,
    lhs_atom59,
    c_0_434,
    [final] ).

cnf(c_0_553,plain,
    lhs_atom58,
    c_0_435,
    [final] ).

cnf(c_0_554,plain,
    lhs_atom57,
    c_0_436,
    [final] ).

cnf(c_0_555,plain,
    lhs_atom56,
    c_0_437,
    [final] ).

cnf(c_0_556,plain,
    lhs_atom55,
    c_0_438,
    [final] ).

cnf(c_0_557,plain,
    lhs_atom54,
    c_0_439,
    [final] ).

cnf(c_0_558,plain,
    lhs_atom53,
    c_0_440,
    [final] ).

cnf(c_0_559,plain,
    lhs_atom52,
    c_0_441,
    [final] ).

cnf(c_0_560,plain,
    lhs_atom51,
    c_0_442,
    [final] ).

cnf(c_0_561,plain,
    lhs_atom50,
    c_0_443,
    [final] ).

cnf(c_0_562,plain,
    lhs_atom49,
    c_0_444,
    [final] ).

cnf(c_0_563,plain,
    lhs_atom48,
    c_0_445,
    [final] ).

cnf(c_0_564,plain,
    lhs_atom47,
    c_0_446,
    [final] ).

cnf(c_0_565,plain,
    lhs_atom46,
    c_0_447,
    [final] ).

cnf(c_0_566,plain,
    lhs_atom45,
    c_0_448,
    [final] ).

cnf(c_0_567,plain,
    lhs_atom44,
    c_0_449,
    [final] ).

cnf(c_0_568,plain,
    lhs_atom43,
    c_0_450,
    [final] ).

cnf(c_0_569,plain,
    lhs_atom42,
    c_0_451,
    [final] ).

cnf(c_0_570,plain,
    lhs_atom41,
    c_0_452,
    [final] ).

cnf(c_0_571,plain,
    lhs_atom40,
    c_0_453,
    [final] ).

cnf(c_0_572,plain,
    lhs_atom39,
    c_0_454,
    [final] ).

cnf(c_0_573,plain,
    lhs_atom38,
    c_0_455,
    [final] ).

cnf(c_0_574,plain,
    lhs_atom37,
    c_0_456,
    [final] ).

cnf(c_0_575,plain,
    lhs_atom36,
    c_0_457,
    [final] ).

cnf(c_0_576,plain,
    lhs_atom35,
    c_0_458,
    [final] ).

cnf(c_0_577,plain,
    lhs_atom34,
    c_0_459,
    [final] ).

cnf(c_0_578,plain,
    lhs_atom33,
    c_0_460,
    [final] ).

cnf(c_0_579,plain,
    lhs_atom32,
    c_0_461,
    [final] ).

cnf(c_0_580,plain,
    lhs_atom31,
    c_0_462,
    [final] ).

cnf(c_0_581,plain,
    lhs_atom30,
    c_0_463,
    [final] ).

cnf(c_0_582,plain,
    lhs_atom29,
    c_0_464,
    [final] ).

cnf(c_0_583,plain,
    lhs_atom26,
    c_0_465,
    [final] ).

cnf(c_0_584,plain,
    lhs_atom25,
    c_0_466,
    [final] ).

cnf(c_0_585,plain,
    lhs_atom23,
    c_0_467,
    [final] ).

cnf(c_0_586,plain,
    lhs_atom21,
    c_0_468,
    [final] ).

cnf(c_0_587,plain,
    lhs_atom20,
    c_0_469,
    [final] ).

cnf(c_0_588,plain,
    lhs_atom18,
    c_0_470,
    [final] ).

cnf(c_0_589,plain,
    lhs_atom15,
    c_0_471,
    [final] ).

% End CNF derivation
cnf(c_0_472_0,axiom,
    hAPP(c_COMBB(X3,X2,X5,X6,X4),X1) = hAPP(X3,hAPP(X2,X1)),
    inference(unfold_definition,[status(thm)],[c_0_472,def_lhs_atom28]) ).

cnf(c_0_473_0,axiom,
    hAPP(c_COMBC(X3,X2,X5,X4,X6),X1) = hAPP(hAPP(X3,X1),X2),
    inference(unfold_definition,[status(thm)],[c_0_473,def_lhs_atom9]) ).

cnf(c_0_474_0,axiom,
    hAPP(c_COMBB(X3,X2,X5,X6,X4),X1) = hAPP(X3,hAPP(X2,X1)),
    inference(unfold_definition,[status(thm)],[c_0_474,def_lhs_atom28]) ).

cnf(c_0_475_0,axiom,
    c_Set_Oimage(X2,c_Set_Oimage(X1,X3,X4,X5),X5,X6) = c_Set_Oimage(c_COMBB(X2,X1,X5,X6,X4),X3,X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_475,def_lhs_atom19]) ).

cnf(c_0_476_0,axiom,
    hAPP(c_COMBC(X3,X2,X5,X4,X6),X1) = hAPP(hAPP(X3,X1),X2),
    inference(unfold_definition,[status(thm)],[c_0_476,def_lhs_atom9]) ).

cnf(c_0_477_0,axiom,
    hAPP(c_COMBK(X2,X4,X3),X1) = X2,
    inference(unfold_definition,[status(thm)],[c_0_477,def_lhs_atom10]) ).

cnf(c_0_478_0,axiom,
    hAPP(c_Complex_OIm,c_Finite__Set_Osetsum(X1,X2,X3,tc_Complex_Ocomplex)) = c_Finite__Set_Osetsum(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_478,def_lhs_atom24]) ).

cnf(c_0_479_0,axiom,
    hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1)),
    inference(unfold_definition,[status(thm)],[c_0_479,def_lhs_atom8]) ).

cnf(c_0_480_0,axiom,
    hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3)),
    inference(unfold_definition,[status(thm)],[c_0_480,def_lhs_atom7]) ).

cnf(c_0_481_0,axiom,
    hAPP(c_Complex_ORe,c_Finite__Set_Osetsum(X1,X2,X3,tc_Complex_Ocomplex)) = c_Finite__Set_Osetsum(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_481,def_lhs_atom6]) ).

cnf(c_0_482_0,axiom,
    c_fequal(X1,X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_482,def_lhs_atom116]) ).

cnf(c_0_483_0,axiom,
    hAPP(c_Complex_OIm,c_Complex_Ocomplex_OComplex(X2,X1)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_483,def_lhs_atom22]) ).

cnf(c_0_484_0,axiom,
    hAPP(c_Complex_ORe,c_Complex_Ocomplex_OComplex(X2,X1)) = X2,
    inference(unfold_definition,[status(thm)],[c_0_484,def_lhs_atom16]) ).

cnf(c_0_485_0,axiom,
    hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),
    inference(unfold_definition,[status(thm)],[c_0_485,def_lhs_atom13]) ).

cnf(c_0_486_0,axiom,
    hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(c_Suc,X1)) = hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)),
    inference(unfold_definition,[status(thm)],[c_0_486,def_lhs_atom12]) ).

cnf(c_0_487_0,axiom,
    hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,X2)),X1) = hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)),
    inference(unfold_definition,[status(thm)],[c_0_487,def_lhs_atom11]) ).

cnf(c_0_488_0,axiom,
    hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(c_Suc,X2)),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(c_Suc,X1)),
    inference(unfold_definition,[status(thm)],[c_0_488,def_lhs_atom4]) ).

cnf(c_0_489_0,axiom,
    c_Lim_OisCont(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_489,def_lhs_atom27]) ).

cnf(c_0_490_0,axiom,
    c_Lim_OLIM(c_Complex_OIm,X1,hAPP(c_Complex_OIm,X1),tc_Complex_Ocomplex,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_490,def_lhs_atom17]) ).

cnf(c_0_491_0,axiom,
    c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,X1),hAPP(c_Complex_OIm,X1)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_491,def_lhs_atom14]) ).

cnf(c_0_492_0,axiom,
    c_Lim_OisCont(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_492,def_lhs_atom5]) ).

cnf(c_0_493_0,axiom,
    c_Lim_OLIM(c_Complex_ORe,X1,hAPP(c_Complex_ORe,X1),tc_Complex_Ocomplex,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_493,def_lhs_atom3]) ).

cnf(c_0_494_0,axiom,
    hAPP(c_Suc,X1) != X1,
    inference(unfold_definition,[status(thm)],[c_0_494,def_lhs_atom2]) ).

cnf(c_0_495_0,axiom,
    X1 != hAPP(c_Suc,X1),
    inference(unfold_definition,[status(thm)],[c_0_495,def_lhs_atom1]) ).

cnf(c_0_496_0,axiom,
    class_HOL_Ozero(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_496,def_lhs_atom115]) ).

cnf(c_0_497_0,axiom,
    class_SEQ_Obanach(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_497,def_lhs_atom114]) ).

cnf(c_0_498_0,axiom,
    class_Int_Onumber__ring(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_498,def_lhs_atom113]) ).

cnf(c_0_499_0,axiom,
    class_SEQ_Ocomplete__space(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_499,def_lhs_atom112]) ).

cnf(c_0_500_0,axiom,
    class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_500,def_lhs_atom111]) ).

cnf(c_0_501_0,axiom,
    class_Ring__and__Field_Oring(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_501,def_lhs_atom110]) ).

cnf(c_0_502_0,axiom,
    class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_502,def_lhs_atom109]) ).

cnf(c_0_503_0,axiom,
    class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_503,def_lhs_atom108]) ).

cnf(c_0_504_0,axiom,
    class_RealVector_Oreal__vector(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_504,def_lhs_atom107]) ).

cnf(c_0_505_0,axiom,
    class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_505,def_lhs_atom106]) ).

cnf(c_0_506_0,axiom,
    class_RealVector_Ometric__space(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_506,def_lhs_atom105]) ).

cnf(c_0_507_0,axiom,
    class_RealVector_Oreal__algebra(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_507,def_lhs_atom104]) ).

cnf(c_0_508_0,axiom,
    class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_508,def_lhs_atom103]) ).

cnf(c_0_509_0,axiom,
    class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_509,def_lhs_atom102]) ).

cnf(c_0_510_0,axiom,
    class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_510,def_lhs_atom101]) ).

cnf(c_0_511_0,axiom,
    class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_511,def_lhs_atom100]) ).

cnf(c_0_512_0,axiom,
    class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_512,def_lhs_atom99]) ).

cnf(c_0_513_0,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_513,def_lhs_atom98]) ).

cnf(c_0_514_0,axiom,
    class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_514,def_lhs_atom97]) ).

cnf(c_0_515_0,axiom,
    class_RealVector_Otopological__space(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_515,def_lhs_atom96]) ).

cnf(c_0_516_0,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_516,def_lhs_atom95]) ).

cnf(c_0_517_0,axiom,
    class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_517,def_lhs_atom94]) ).

cnf(c_0_518_0,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_518,def_lhs_atom93]) ).

cnf(c_0_519_0,axiom,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_519,def_lhs_atom92]) ).

cnf(c_0_520_0,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_520,def_lhs_atom91]) ).

cnf(c_0_521_0,axiom,
    class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_521,def_lhs_atom90]) ).

cnf(c_0_522_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_522,def_lhs_atom89]) ).

cnf(c_0_523_0,axiom,
    class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_523,def_lhs_atom88]) ).

cnf(c_0_524_0,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_524,def_lhs_atom87]) ).

cnf(c_0_525_0,axiom,
    class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_525,def_lhs_atom86]) ).

cnf(c_0_526_0,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_526,def_lhs_atom85]) ).

cnf(c_0_527_0,axiom,
    class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_527,def_lhs_atom84]) ).

cnf(c_0_528_0,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_528,def_lhs_atom83]) ).

cnf(c_0_529_0,axiom,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_529,def_lhs_atom82]) ).

cnf(c_0_530_0,axiom,
    class_HOL_Ozero(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_530,def_lhs_atom81]) ).

cnf(c_0_531_0,axiom,
    class_SEQ_Obanach(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_531,def_lhs_atom80]) ).

cnf(c_0_532_0,axiom,
    class_Int_Onumber__ring(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_532,def_lhs_atom79]) ).

cnf(c_0_533_0,axiom,
    class_SEQ_Ocomplete__space(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_533,def_lhs_atom78]) ).

cnf(c_0_534_0,axiom,
    class_Ring__and__Field_Oidom(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_534,def_lhs_atom77]) ).

cnf(c_0_535_0,axiom,
    class_Ring__and__Field_Oring(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_535,def_lhs_atom76]) ).

cnf(c_0_536_0,axiom,
    class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_536,def_lhs_atom75]) ).

cnf(c_0_537_0,axiom,
    class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_537,def_lhs_atom74]) ).

cnf(c_0_538_0,axiom,
    class_RealVector_Oreal__vector(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_538,def_lhs_atom73]) ).

cnf(c_0_539_0,axiom,
    class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_539,def_lhs_atom72]) ).

cnf(c_0_540_0,axiom,
    class_RealVector_Ometric__space(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_540,def_lhs_atom71]) ).

cnf(c_0_541_0,axiom,
    class_RealVector_Oreal__algebra(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_541,def_lhs_atom70]) ).

cnf(c_0_542_0,axiom,
    class_Ring__and__Field_Osemiring(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_542,def_lhs_atom69]) ).

cnf(c_0_543_0,axiom,
    class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_543,def_lhs_atom68]) ).

cnf(c_0_544_0,axiom,
    class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_544,def_lhs_atom67]) ).

cnf(c_0_545_0,axiom,
    class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_545,def_lhs_atom66]) ).

cnf(c_0_546_0,axiom,
    class_Ring__and__Field_Osemiring__0(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_546,def_lhs_atom65]) ).

cnf(c_0_547_0,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_547,def_lhs_atom64]) ).

cnf(c_0_548_0,axiom,
    class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_548,def_lhs_atom63]) ).

cnf(c_0_549_0,axiom,
    class_RealVector_Otopological__space(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_549,def_lhs_atom62]) ).

cnf(c_0_550_0,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_550,def_lhs_atom61]) ).

cnf(c_0_551_0,axiom,
    class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_551,def_lhs_atom60]) ).

cnf(c_0_552_0,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_552,def_lhs_atom59]) ).

cnf(c_0_553_0,axiom,
    class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_553,def_lhs_atom58]) ).

cnf(c_0_554_0,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_554,def_lhs_atom57]) ).

cnf(c_0_555_0,axiom,
    class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_555,def_lhs_atom56]) ).

cnf(c_0_556_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_556,def_lhs_atom55]) ).

cnf(c_0_557_0,axiom,
    class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_557,def_lhs_atom54]) ).

cnf(c_0_558_0,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_558,def_lhs_atom53]) ).

cnf(c_0_559_0,axiom,
    class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_559,def_lhs_atom52]) ).

cnf(c_0_560_0,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_560,def_lhs_atom51]) ).

cnf(c_0_561_0,axiom,
    class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_561,def_lhs_atom50]) ).

cnf(c_0_562_0,axiom,
    class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_562,def_lhs_atom49]) ).

cnf(c_0_563_0,axiom,
    class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_563,def_lhs_atom48]) ).

cnf(c_0_564_0,axiom,
    class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_564,def_lhs_atom47]) ).

cnf(c_0_565_0,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_565,def_lhs_atom46]) ).

cnf(c_0_566_0,axiom,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_566,def_lhs_atom45]) ).

cnf(c_0_567_0,axiom,
    class_Lattices_Oboolean__algebra(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_567,def_lhs_atom44]) ).

cnf(c_0_568_0,axiom,
    class_HOL_Ozero(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_568,def_lhs_atom43]) ).

cnf(c_0_569_0,axiom,
    class_OrderedGroup_Omonoid__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_569,def_lhs_atom42]) ).

cnf(c_0_570_0,axiom,
    class_Ring__and__Field_Osemiring(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_570,def_lhs_atom41]) ).

cnf(c_0_571_0,axiom,
    class_Ring__and__Field_Omult__zero(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_571,def_lhs_atom40]) ).

cnf(c_0_572_0,axiom,
    class_Ring__and__Field_Osemiring__0(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_572,def_lhs_atom39]) ).

cnf(c_0_573_0,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_573,def_lhs_atom38]) ).

cnf(c_0_574_0,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_574,def_lhs_atom37]) ).

cnf(c_0_575_0,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_575,def_lhs_atom36]) ).

cnf(c_0_576_0,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_576,def_lhs_atom35]) ).

cnf(c_0_577_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_577,def_lhs_atom34]) ).

cnf(c_0_578_0,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_578,def_lhs_atom33]) ).

cnf(c_0_579_0,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_579,def_lhs_atom32]) ).

cnf(c_0_580_0,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_580,def_lhs_atom31]) ).

cnf(c_0_581_0,axiom,
    c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),v_sko__CHAINED__1(v_f____,v_ga____,v_s),tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_581,def_lhs_atom30]) ).

cnf(c_0_582_0,axiom,
    c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_f____,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)),
    inference(unfold_definition,[status(thm)],[c_0_582,def_lhs_atom29]) ).

cnf(c_0_583_0,axiom,
    c_SEQ_Osubseq(v_f____),
    inference(unfold_definition,[status(thm)],[c_0_583,def_lhs_atom26]) ).

cnf(c_0_584_0,axiom,
    c_SEQ_Oconvergent(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_584,def_lhs_atom25]) ).

cnf(c_0_585_0,axiom,
    c_SEQ_Omonoseq(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)),
    inference(unfold_definition,[status(thm)],[c_0_585,def_lhs_atom23]) ).

cnf(c_0_586_0,axiom,
    c_SEQ_Osubseq(v_ga____),
    inference(unfold_definition,[status(thm)],[c_0_586,def_lhs_atom21]) ).

cnf(c_0_587_0,axiom,
    c_SEQ_Oconvergent(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_f____,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_587,def_lhs_atom20]) ).

cnf(c_0_588_0,axiom,
    c_Lim_OisUCont(c_Complex_OIm,tc_Complex_Ocomplex,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_588,def_lhs_atom18]) ).

cnf(c_0_589_0,axiom,
    c_Lim_OisUCont(c_Complex_ORe,tc_Complex_Ocomplex,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_589,def_lhs_atom15]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X19] :
      ( v_thesis____
      | ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X19,tc_RealDef_Oreal) ),
    file('<stdin>',cls_that_0) ).

fof(c_0_1_002,axiom,
    ! [X18,X9,X8,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OLIMSEQ(X9,X8,X3)
      | ~ c_SEQ_OLIMSEQ(c_COMBB(X9,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),X18,tc_nat,tc_nat,tc_nat),tc_nat,X3,tc_nat),X8,X3) ),
    file('<stdin>',cls_LIMSEQ__offset_0) ).

fof(c_0_2_003,axiom,
    ! [X19,X6,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X14),X7,X14,tc_fun(X14,X14),X3),X19,X3,X14,X14),X8,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X14),X6),X19),X3,X14)
      | ~ c_Lim_OLIM(X7,X8,X6,X3,X14) ),
    file('<stdin>',cls_mult__left_OLIM_0) ).

fof(c_0_3_004,axiom,
    ! [X19,X15,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | c_Limits_Otendsto(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X14),X7,X14,tc_fun(X14,X14),X3),X19,X3,X14,X14),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X14),X8),X19),X15,X3,X14)
      | ~ c_Limits_Otendsto(X7,X8,X15,X3,X14) ),
    file('<stdin>',cls_mult__left_Otendsto_0) ).

fof(c_0_4_005,axiom,
    ! [X11,X6,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X14),X7,tc_RealDef_Oreal,tc_fun(X14,X14),X3),X11,X3,X14,X14),X8,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X6),X11),X3,X14)
      | ~ c_Lim_OLIM(X7,X8,X6,X3,tc_RealDef_Oreal) ),
    file('<stdin>',cls_scaleR__left_OLIM_0) ).

fof(c_0_5_006,axiom,
    ! [X11,X15,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Limits_Otendsto(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X14),X7,tc_RealDef_Oreal,tc_fun(X14,X14),X3),X11,X3,X14,X14),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X8),X11),X15,X3,X14)
      | ~ c_Limits_Otendsto(X7,X8,X15,X3,tc_RealDef_Oreal) ),
    file('<stdin>',cls_scaleR__left_Otendsto_0) ).

fof(c_0_6_007,axiom,
    ! [X19,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X14),X7,X14,tc_fun(X14,X14),X3),X19,X3,X14,X14),X8,c_HOL_Ozero__class_Ozero(X14),X3,X14)
      | ~ c_Lim_OLIM(X7,X8,c_HOL_Ozero__class_Ozero(X14),X3,X14) ),
    file('<stdin>',cls_mult__left_OLIM__zero_0) ).

fof(c_0_7_008,axiom,
    ! [X9,X24,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X14),X9,X14,tc_fun(X14,X14),X3),X24,X3,X14,X14),X8,c_HOL_Ozero__class_Ozero(X14),X3,X14)
      | ~ c_Lim_OLIM(X9,X8,c_HOL_Ozero__class_Ozero(X14),X3,X14) ),
    file('<stdin>',cls_LIM__mult__left__zero_0) ).

fof(c_0_8_009,axiom,
    ! [X9,X24,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X14),X9,tc_RealDef_Oreal,tc_fun(X14,X14),X3),X24,X3,X14,X14),X8,c_HOL_Ozero__class_Ozero(X14),X3,X14)
      | ~ c_Lim_OLIM(X9,X8,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    file('<stdin>',cls_scaleR_OLIM__left__zero_0) ).

fof(c_0_9_010,axiom,
    ! [X11,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X14),X7,tc_RealDef_Oreal,tc_fun(X14,X14),X3),X11,X3,X14,X14),X8,c_HOL_Ozero__class_Ozero(X14),X3,X14)
      | ~ c_Lim_OLIM(X7,X8,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    file('<stdin>',cls_scaleR__left_OLIM__zero_0) ).

fof(c_0_10_011,axiom,
    ! [X19,X7,X25,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),c_Finite__Set_Osetsum(X7,X25,X14,X3)),X19) = c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X3),X7,X3,tc_fun(X3,X3),X14),X19,X14,X3,X3),X25,X14,X3) ),
    file('<stdin>',cls_mult__left_Osetsum_0) ).

fof(c_0_11_012,axiom,
    ! [X10,X9,X25,X14,X3] :
      ( ~ class_Ring__and__Field_Osemiring__0(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),c_Finite__Set_Osetsum(X9,X25,X14,X3)),X10) = c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X3),X9,X3,tc_fun(X3,X3),X14),X10,X14,X3,X3),X25,X14,X3) ),
    file('<stdin>',cls_setsum__left__distrib_0) ).

fof(c_0_12_013,axiom,
    ! [X11,X7,X25,X14,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),c_Finite__Set_Osetsum(X7,X25,X14,tc_RealDef_Oreal)),X11) = c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3),X7,tc_RealDef_Oreal,tc_fun(X3,X3),X14),X11,X14,X3,X3),X25,X14,X3) ),
    file('<stdin>',cls_scaleR__left_Osetsum_0) ).

fof(c_0_13_014,axiom,
    ! [X19,X15,X7,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | c_Limits_OZfun(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X14),X7,X14,tc_fun(X14,X14),X3),X19,X3,X14,X14),X15,X3,X14)
      | ~ c_Limits_OZfun(X7,X15,X3,X14) ),
    file('<stdin>',cls_mult__left_OZfun_0) ).

fof(c_0_14_015,axiom,
    ! [X15,X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | c_Limits_OZfun(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X14),X9,X14,tc_fun(X14,X14),X3),X8,X3,X14,X14),X15,X3,X14)
      | ~ c_Limits_OZfun(X9,X15,X3,X14) ),
    file('<stdin>',cls_Zfun__mult__left_0) ).

fof(c_0_15_016,axiom,
    ! [X11,X15,X7,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Limits_OZfun(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X14),X7,tc_RealDef_Oreal,tc_fun(X14,X14),X3),X11,X3,X14,X14),X15,X3,X14)
      | ~ c_Limits_OZfun(X7,X15,X3,tc_RealDef_Oreal) ),
    file('<stdin>',cls_scaleR__left_OZfun_0) ).

fof(c_0_16_017,axiom,
    ! [X15,X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Limits_OZfun(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X14),X9,tc_RealDef_Oreal,tc_fun(X14,X14),X3),X8,X3,X14,X14),X15,X3,X14)
      | ~ c_Limits_OZfun(X9,X15,X3,tc_RealDef_Oreal) ),
    file('<stdin>',cls_scaleR_OZfun__left_0) ).

fof(c_0_17_018,axiom,
    ! [X6,X7,X9,X8,X13,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X14)
      | ~ class_RealVector_Ometric__space(X13)
      | c_Lim_OLIM(c_COMBB(X7,X9,X3,X14,X13),X8,hAPP(X7,X6),X13,X14)
      | ~ c_Lim_OLIM(X9,X8,X6,X13,X3)
      | ~ c_Lim_OLIM(X7,X6,hAPP(X7,X6),X3,X14) ),
    file('<stdin>',cls_LIM__compose_0) ).

fof(c_0_18_019,axiom,
    ! [X18,X9,X8,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(X9,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),X18,tc_nat,tc_nat,tc_nat),tc_nat,X3,tc_nat),X8,X3)
      | ~ c_SEQ_OLIMSEQ(X9,X8,X3) ),
    file('<stdin>',cls_LIMSEQ__ignore__initial__segment_0) ).

fof(c_0_19_020,axiom,
    ! [X18,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osummable(c_COMBB(X9,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),X18,tc_nat,tc_nat,tc_nat),tc_nat,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X9,X3) ),
    file('<stdin>',cls_summable__ignore__initial__segment_0) ).

fof(c_0_20_021,axiom,
    ! [X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Ometric__space(X14)
      | c_Lim_OLIM(X9,X8,hAPP(X9,X8),X3,X14)
      | ~ c_Lim_OLIM(c_COMBB(X9,hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X3,X14,X3),c_HOL_Ozero__class_Ozero(X3),hAPP(X9,X8),X3,X14) ),
    file('<stdin>',cls_LIM__isCont__iff_1) ).

fof(c_0_21_022,axiom,
    ! [X9,X8,X17,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X14)
      | ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Lim_OLIM(X9,X8,X17,X3,X14)
      | ~ c_Lim_OLIM(c_COMBB(X9,hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X3,X14,X3),c_HOL_Ozero__class_Ozero(X3),X17,X3,X14) ),
    file('<stdin>',cls_LIM__offset__zero__cancel_0) ).

fof(c_0_22_023,axiom,
    ! [X15,X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Limits_Otendsto(X9,X8,X15,X3,X14)
      | ~ c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X14),X9,X14,X14,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X14),X8),X15,X3,X14) ),
    file('<stdin>',cls_tendsto__minus__cancel_0) ).

fof(c_0_23_024,axiom,
    ! [X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(X9,X8,c_HOL_Ozero__class_Ozero(X14),X3,X14)
      | ~ c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X14),X9,X14,tc_RealDef_Oreal,X3),X8,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    file('<stdin>',cls_LIM__norm__zero__iff_0) ).

fof(c_0_24_025,axiom,
    ! [X11,X9,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Ometric__space(X14)
      | c_Lim_OisCont(X9,X11,X3,X14)
      | ~ c_Lim_OLIM(c_COMBB(X9,hAPP(c_HOL_Oplus__class_Oplus(X3),X11),X3,X14,X3),c_HOL_Ozero__class_Ozero(X3),hAPP(X9,X11),X3,X14) ),
    file('<stdin>',cls_isCont__iff_1) ).

fof(c_0_25_026,axiom,
    ! [X6,X7,X9,X8,X13,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X14)
      | ~ class_RealVector_Ometric__space(X13)
      | c_Lim_OLIM(c_COMBB(X7,X9,X3,X14,X13),X8,hAPP(X7,X6),X13,X14)
      | ~ c_Lim_OLIM(X9,X8,X6,X13,X3)
      | ~ c_Lim_OisCont(X7,X6,X3,X14) ),
    file('<stdin>',cls_isCont__LIM__compose_0) ).

fof(c_0_26_027,axiom,
    ! [X11,X6,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X14),X11),X7,X14,X14,X3),X8,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X14),X11),X6),X3,X14)
      | ~ c_Lim_OLIM(X7,X8,X6,X3,X14) ),
    file('<stdin>',cls_mult__right_OLIM_0) ).

fof(c_0_27_028,axiom,
    ! [X10,X6,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X10),X7,X14,X14,X3),X8,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X10),X6),X3,X14)
      | ~ c_Lim_OLIM(X7,X8,X6,X3,X14) ),
    file('<stdin>',cls_scaleR__right_OLIM_0) ).

fof(c_0_28_029,axiom,
    ! [X11,X15,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | c_Limits_Otendsto(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X14),X11),X7,X14,X14,X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X14),X11),X8),X15,X3,X14)
      | ~ c_Limits_Otendsto(X7,X8,X15,X3,X14) ),
    file('<stdin>',cls_mult__right_Otendsto_0) ).

fof(c_0_29_030,axiom,
    ! [X10,X15,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Limits_Otendsto(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X10),X7,X14,X14,X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X10),X8),X15,X3,X14)
      | ~ c_Limits_Otendsto(X7,X8,X15,X3,X14) ),
    file('<stdin>',cls_scaleR__right_Otendsto_0) ).

fof(c_0_30_031,axiom,
    ! [X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Ometric__space(X14)
      | c_Lim_OLIM(c_COMBB(X9,hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X3,X14,X3),c_HOL_Ozero__class_Ozero(X3),hAPP(X9,X8),X3,X14)
      | ~ c_Lim_OLIM(X9,X8,hAPP(X9,X8),X3,X14) ),
    file('<stdin>',cls_LIM__isCont__iff_0) ).

fof(c_0_31_032,axiom,
    ! [X6,X7,X9,X8,X13,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Ometric__space(X13)
      | c_Lim_OLIM(c_COMBB(X9,X7,X3,X14,X13),X8,hAPP(X9,X6),X13,X14)
      | ~ c_Lim_OLIM(X7,X8,X6,X13,X3)
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    file('<stdin>',cls_bounded__linear_OLIM_0) ).

fof(c_0_32_033,axiom,
    ! [X15,X7,X9,X8,X13,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Limits_Otendsto(c_COMBB(X9,X7,X3,X14,X13),hAPP(X9,X8),X15,X13,X14)
      | ~ c_Limits_Otendsto(X7,X8,X15,X13,X3)
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    file('<stdin>',cls_bounded__linear_Otendsto_0) ).

fof(c_0_33_034,axiom,
    ! [X7,X9,X8,X13,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Ometric__space(X13)
      | c_Lim_OLIM(c_COMBB(X9,X7,X3,X14,X13),X8,c_HOL_Ozero__class_Ozero(X14),X13,X14)
      | ~ c_Lim_OLIM(X7,X8,c_HOL_Ozero__class_Ozero(X3),X13,X3)
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    file('<stdin>',cls_bounded__linear_OLIM__zero_0) ).

fof(c_0_34_035,axiom,
    ! [X11,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X14),X11),X7,X14,X14,X3),X8,c_HOL_Ozero__class_Ozero(X14),X3,X14)
      | ~ c_Lim_OLIM(X7,X8,c_HOL_Ozero__class_Ozero(X14),X3,X14) ),
    file('<stdin>',cls_mult__right_OLIM__zero_0) ).

fof(c_0_35_036,axiom,
    ! [X9,X24,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X14),X24),X9,X14,X14,X3),X8,c_HOL_Ozero__class_Ozero(X14),X3,X14)
      | ~ c_Lim_OLIM(X9,X8,c_HOL_Ozero__class_Ozero(X14),X3,X14) ),
    file('<stdin>',cls_LIM__mult__right__zero_0) ).

fof(c_0_36_037,axiom,
    ! [X9,X24,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X24),X9,X14,X14,X3),X8,c_HOL_Ozero__class_Ozero(X14),X3,X14)
      | ~ c_Lim_OLIM(X9,X8,c_HOL_Ozero__class_Ozero(X14),X3,X14) ),
    file('<stdin>',cls_scaleR_OLIM__right__zero_0) ).

fof(c_0_37_038,axiom,
    ! [X10,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X10),X7,X14,X14,X3),X8,c_HOL_Ozero__class_Ozero(X14),X3,X14)
      | ~ c_Lim_OLIM(X7,X8,c_HOL_Ozero__class_Ozero(X14),X3,X14) ),
    file('<stdin>',cls_scaleR__right_OLIM__zero_0) ).

fof(c_0_38_039,axiom,
    ! [X9,X8,X17,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X14)
      | ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Lim_OLIM(c_COMBB(X9,hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X3,X14,X3),c_HOL_Ozero__class_Ozero(X3),X17,X3,X14)
      | ~ c_Lim_OLIM(X9,X8,X17,X3,X14) ),
    file('<stdin>',cls_LIM__offset__zero_0) ).

fof(c_0_39_040,axiom,
    ! [X9,X8,X17,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_HOL_Oinverse__class_Oinverse(X14),X9,X14,X14,X3),X8,hAPP(c_HOL_Oinverse__class_Oinverse(X14),X17),X3,X14)
      | X17 = c_HOL_Ozero__class_Ozero(X14)
      | ~ c_Lim_OLIM(X9,X8,X17,X3,X14) ),
    file('<stdin>',cls_LIM__inverse_0) ).

fof(c_0_40_041,axiom,
    ! [X6,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Oreal__algebra__1(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X14),X7,tc_RealDef_Oreal,X14,X3),X8,hAPP(c_RealVector_Oof__real(X14),X6),X3,X14)
      | ~ c_Lim_OLIM(X7,X8,X6,X3,tc_RealDef_Oreal) ),
    file('<stdin>',cls_LIM__of__real_0) ).

fof(c_0_41_042,axiom,
    ! [X9,X8,X17,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_HOL_Ouminus__class_Ouminus(X14),X9,X14,X14,X3),X8,hAPP(c_HOL_Ouminus__class_Ouminus(X14),X17),X3,X14)
      | ~ c_Lim_OLIM(X9,X8,X17,X3,X14) ),
    file('<stdin>',cls_LIM__minus_0) ).

fof(c_0_42_043,axiom,
    ! [X15,X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X14)
      | c_Limits_Otendsto(c_COMBB(c_HOL_Oinverse__class_Oinverse(X14),X9,X14,X14,X3),hAPP(c_HOL_Oinverse__class_Oinverse(X14),X8),X15,X3,X14)
      | X8 = c_HOL_Ozero__class_Ozero(X14)
      | ~ c_Limits_Otendsto(X9,X8,X15,X3,X14) ),
    file('<stdin>',cls_tendsto__inverse_0) ).

fof(c_0_43_044,axiom,
    ! [X6,X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X14),X9,X14,tc_RealDef_Oreal,X3),X8,hAPP(c_RealVector_Onorm__class_Onorm(X14),X6),X3,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X9,X8,X6,X3,X14) ),
    file('<stdin>',cls_LIM__norm_0) ).

fof(c_0_44_045,axiom,
    ! [X15,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Oreal__algebra__1(X14)
      | c_Limits_Otendsto(c_COMBB(c_RealVector_Oof__real(X14),X7,tc_RealDef_Oreal,X14,X3),hAPP(c_RealVector_Oof__real(X14),X8),X15,X3,X14)
      | ~ c_Limits_Otendsto(X7,X8,X15,X3,tc_RealDef_Oreal) ),
    file('<stdin>',cls_of__real_Otendsto_0) ).

fof(c_0_45_046,axiom,
    ! [X15,X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X14),X9,X14,X14,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X14),X8),X15,X3,X14)
      | ~ c_Limits_Otendsto(X9,X8,X15,X3,X14) ),
    file('<stdin>',cls_tendsto__minus_0) ).

fof(c_0_46_047,axiom,
    ! [X15,X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Limits_Otendsto(c_COMBB(c_RealVector_Onorm__class_Onorm(X14),X9,X14,tc_RealDef_Oreal,X3),hAPP(c_RealVector_Onorm__class_Onorm(X14),X8),X15,X3,tc_RealDef_Oreal)
      | ~ c_Limits_Otendsto(X9,X8,X15,X3,X14) ),
    file('<stdin>',cls_tendsto__norm_0) ).

fof(c_0_47_048,axiom,
    ! [X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Oreal__algebra__1(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X14),X7,tc_RealDef_Oreal,X14,X3),X8,c_HOL_Ozero__class_Ozero(X14),X3,X14)
      | ~ c_Lim_OLIM(X7,X8,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    file('<stdin>',cls_of__real_OLIM__zero_0) ).

fof(c_0_48_049,axiom,
    ! [X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X14),X9,X14,tc_RealDef_Oreal,X3),X8,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X9,X8,c_HOL_Ozero__class_Ozero(X14),X3,X14) ),
    file('<stdin>',cls_LIM__norm__zero_0) ).

fof(c_0_49_050,axiom,
    ! [X6,X7,X8,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_Complex_ORe,X7,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X8,hAPP(c_Complex_ORe,X6),X3,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X7,X8,X6,X3,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Re_OLIM_0) ).

fof(c_0_50_051,axiom,
    ! [X6,X7,X8,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_Complex_OIm,X7,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X8,hAPP(c_Complex_OIm,X6),X3,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X7,X8,X6,X3,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Im_OLIM_0) ).

fof(c_0_51_052,axiom,
    ! [X15,X7,X8,X3] :
      ( c_Limits_Otendsto(c_COMBB(c_Complex_ORe,X7,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),hAPP(c_Complex_ORe,X8),X15,X3,tc_RealDef_Oreal)
      | ~ c_Limits_Otendsto(X7,X8,X15,X3,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Re_Otendsto_0) ).

fof(c_0_52_053,axiom,
    ! [X15,X7,X8,X3] :
      ( c_Limits_Otendsto(c_COMBB(c_Complex_OIm,X7,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),hAPP(c_Complex_OIm,X8),X15,X3,tc_RealDef_Oreal)
      | ~ c_Limits_Otendsto(X7,X8,X15,X3,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Im_Otendsto_0) ).

fof(c_0_53_054,axiom,
    ! [X8,X2,X16,X17,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(X2,X16,X3,X14,tc_nat),X17,X14)
      | ~ c_SEQ_OLIMSEQ(X16,X8,X3)
      | hAPP(X16,c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1(X16,X8,X3)) = X8
      | ~ c_Lim_OLIM(X2,X8,X17,X3,X14) ),
    file('<stdin>',cls_LIMSEQ__SEQ__conv1_0) ).

fof(c_0_54_055,axiom,
    ! [X15,X9,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Limits_OZfun(X9,X15,X3,X14)
      | ~ c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X14),X9,X14,tc_RealDef_Oreal,X3),X15,X3,tc_RealDef_Oreal) ),
    file('<stdin>',cls_Zfun__norm__iff_0) ).

fof(c_0_55_056,axiom,
    ! [X11,X9,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Ometric__space(X14)
      | c_Lim_OLIM(c_COMBB(X9,hAPP(c_HOL_Oplus__class_Oplus(X3),X11),X3,X14,X3),c_HOL_Ozero__class_Ozero(X3),hAPP(X9,X11),X3,X14)
      | ~ c_Lim_OisCont(X9,X11,X3,X14) ),
    file('<stdin>',cls_isCont__iff_0) ).

fof(c_0_56_057,axiom,
    ! [X8,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(X2,X8,X3)
      | ~ c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8),X3) ),
    file('<stdin>',cls_LIMSEQ__minus__cancel_0) ).

fof(c_0_57_058,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X2,X3,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_LIMSEQ__norm__zero_0) ).

fof(c_0_58_059,axiom,
    ! [X6,X9,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OLIMSEQ(X9,X6,X3)
      | ~ c_SEQ_OLIMSEQ(c_COMBB(X9,c_Suc,tc_nat,X3,tc_nat),X6,X3) ),
    file('<stdin>',cls_LIMSEQ__Suc__iff_0) ).

fof(c_0_59_060,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_Oconvergent(X2,X3)
      | ~ c_SEQ_Oconvergent(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),X3) ),
    file('<stdin>',cls_convergent__minus__iff_1) ).

fof(c_0_60_061,axiom,
    ! [X9,X3] :
      ( ~ class_SEQ_Obanach(X3)
      | c_Series_Osummable(X9,X3)
      | ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X9,X3,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    file('<stdin>',cls_summable__norm__cancel_0) ).

fof(c_0_61_062,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OZseq(X2,X3)
      | ~ c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X2,X3,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    file('<stdin>',cls_Zseq__norm__iff_0) ).

fof(c_0_62_063,axiom,
    ! [X9,X8,X45,X17,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X14)
      | ~ class_RealVector_Oreal__normed__algebra__1(X3)
      | X17 = X45
      | ~ c_Lim_OLIM(X9,X8,X45,X3,X14)
      | ~ c_Lim_OLIM(X9,X8,X17,X3,X14) ),
    file('<stdin>',cls_LIM__unique_0) ).

fof(c_0_63_064,axiom,
    ! [X19,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Lim_OLIM(c_COMBC(c_HOL_Otimes__class_Otimes(X3),X19,X3,X3,X3),X8,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X19),X3,X3) ),
    file('<stdin>',cls_mult__left_Ocont_0) ).

fof(c_0_64_065,axiom,
    ! [X7,X9,X8,X13,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X13)
      | ~ class_RealVector_Ometric__space(X14)
      | c_Lim_OisCont(c_COMBB(X7,X9,X14,X13,X3),X8,X3,X13)
      | ~ c_Lim_OisCont(X7,hAPP(X9,X8),X14,X13)
      | ~ c_Lim_OisCont(X9,X8,X3,X14) ),
    file('<stdin>',cls_isCont__o2_0) ).

fof(c_0_65_066,axiom,
    ! [X11,X7,X25,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),c_Finite__Set_Osetsum(X7,X25,X14,X3)) = c_Finite__Set_Osetsum(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X7,X3,X3,X14),X25,X14,X3) ),
    file('<stdin>',cls_mult__right_Osetsum_0) ).

fof(c_0_66_067,axiom,
    ! [X10,X9,X25,X14,X3] :
      ( ~ class_Ring__and__Field_Osemiring__0(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X10),c_Finite__Set_Osetsum(X9,X25,X14,X3)) = c_Finite__Set_Osetsum(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X10),X9,X3,X3,X14),X25,X14,X3) ),
    file('<stdin>',cls_setsum__right__distrib_0) ).

fof(c_0_67_068,axiom,
    ! [X7,X8,X25,X14,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),c_Finite__Set_Osetsum(X7,X25,X14,X3)) = c_Finite__Set_Osetsum(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X7,X3,X3,X14),X25,X14,X3) ),
    file('<stdin>',cls_scaleR__right_Osetsum_0) ).

fof(c_0_68_069,axiom,
    ! [X7,X25,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),c_Finite__Set_Osetsum(X7,X25,X14,tc_RealDef_Oreal)) = c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Oof__real(X3),X7,tc_RealDef_Oreal,X3,X14),X25,X14,X3) ),
    file('<stdin>',cls_of__real_Osetsum_0) ).

fof(c_0_69_070,axiom,
    ! [X9,X25,X14,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X9,X3,X3,X14),X25,X14,X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Finite__Set_Osetsum(X9,X25,X14,X3)) ),
    file('<stdin>',cls_setsum__negf_0) ).

fof(c_0_70_071,axiom,
    ! [X15,X7,X9,X13,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Limits_OZfun(c_COMBB(X9,X7,X3,X14,X13),X15,X13,X14)
      | ~ c_Limits_OZfun(X7,X15,X13,X3)
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    file('<stdin>',cls_bounded__linear_OZfun_0) ).

fof(c_0_71_072,axiom,
    ! [X10,X15,X7,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Limits_OZfun(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X10),X7,X14,X14,X3),X15,X3,X14)
      | ~ c_Limits_OZfun(X7,X15,X3,X14) ),
    file('<stdin>',cls_scaleR__right_OZfun_0) ).

fof(c_0_72_073,axiom,
    ! [X15,X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Limits_OZfun(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X8),X9,X14,X14,X3),X15,X3,X14)
      | ~ c_Limits_OZfun(X9,X15,X3,X14) ),
    file('<stdin>',cls_scaleR_OZfun__right_0) ).

fof(c_0_73_074,axiom,
    ! [X15,X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | c_Limits_OZfun(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X14),X8),X9,X14,X14,X3),X15,X3,X14)
      | ~ c_Limits_OZfun(X9,X15,X3,X14) ),
    file('<stdin>',cls_Zfun__mult__right_0) ).

fof(c_0_74_075,axiom,
    ! [X11,X15,X7,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | c_Limits_OZfun(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X14),X11),X7,X14,X14,X3),X15,X3,X14)
      | ~ c_Limits_OZfun(X7,X15,X3,X14) ),
    file('<stdin>',cls_mult__right_OZfun_0) ).

fof(c_0_75_076,axiom,
    ! [X9,X8,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Oreal__normed__div__algebra(X14)
      | c_Lim_OisCont(c_COMBB(c_HOL_Oinverse__class_Oinverse(X14),X9,X14,X14,X3),X8,X3,X14)
      | hAPP(X9,X8) = c_HOL_Ozero__class_Ozero(X14)
      | ~ c_Lim_OisCont(X9,X8,X3,X14) ),
    file('<stdin>',cls_isCont__inverse_0) ).

fof(c_0_76_077,axiom,
    ! [X9,X8,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Lim_OisCont(c_COMBB(c_HOL_Ouminus__class_Ouminus(X14),X9,X14,X14,X3),X8,X3,X14)
      | ~ c_Lim_OisCont(X9,X8,X3,X14) ),
    file('<stdin>',cls_isCont__minus_0) ).

fof(c_0_77_078,axiom,
    ! [X9,X8,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Lim_OisCont(c_COMBB(c_RealVector_Onorm__class_Onorm(X14),X9,X14,tc_RealDef_Oreal,X3),X8,X3,tc_RealDef_Oreal)
      | ~ c_Lim_OisCont(X9,X8,X3,X14) ),
    file('<stdin>',cls_isCont__norm_0) ).

fof(c_0_78_079,axiom,
    ! [X15,X7,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Oreal__algebra__1(X14)
      | c_Limits_OZfun(c_COMBB(c_RealVector_Oof__real(X14),X7,tc_RealDef_Oreal,X14,X3),X15,X3,X14)
      | ~ c_Limits_OZfun(X7,X15,X3,tc_RealDef_Oreal) ),
    file('<stdin>',cls_of__real_OZfun_0) ).

fof(c_0_79_080,axiom,
    ! [X9,X8,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Oreal__normed__algebra__1(X14)
      | c_Lim_OisCont(c_COMBB(c_RealVector_Oof__real(X14),X9,tc_RealDef_Oreal,X14,X3),X8,X3,X14)
      | ~ c_Lim_OisCont(X9,X8,X3,tc_RealDef_Oreal) ),
    file('<stdin>',cls_isCont__of__real_0) ).

fof(c_0_80_081,axiom,
    ! [X15,X9,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Limits_OZfun(c_COMBB(c_HOL_Ouminus__class_Ouminus(X14),X9,X14,X14,X3),X15,X3,X14)
      | ~ c_Limits_OZfun(X9,X15,X3,X14) ),
    file('<stdin>',cls_Zfun__minus_0) ).

fof(c_0_81_082,axiom,
    ! [X15,X9,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X14),X9,X14,tc_RealDef_Oreal,X3),X15,X3,tc_RealDef_Oreal)
      | ~ c_Limits_OZfun(X9,X15,X3,X14) ),
    file('<stdin>',cls_Zfun__norm__iff_1) ).

fof(c_0_82_083,axiom,
    ! [X15,X7,X3] :
      ( c_Limits_OZfun(c_COMBB(c_Complex_ORe,X7,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X15,X3,tc_RealDef_Oreal)
      | ~ c_Limits_OZfun(X7,X15,X3,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Re_OZfun_0) ).

fof(c_0_83_084,axiom,
    ! [X15,X7,X3] :
      ( c_Limits_OZfun(c_COMBB(c_Complex_OIm,X7,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X15,X3,tc_RealDef_Oreal)
      | ~ c_Limits_OZfun(X7,X15,X3,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Im_OZfun_0) ).

fof(c_0_84_085,axiom,
    ! [X10,X8,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osums(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X2,X3,X3,tc_nat),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X8),X3)
      | ~ c_Series_Osums(X2,X8,X3) ),
    file('<stdin>',cls_scaleR__right_Osums_0) ).

fof(c_0_85_086,axiom,
    ! [X11,X8,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X2,X3,X3,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X8),X3)
      | ~ c_Series_Osums(X2,X8,X3) ),
    file('<stdin>',cls_mult__right_Osums_0) ).

fof(c_0_86_087,axiom,
    ! [X9,X24,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X24),X9,X3,X3,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X24),X8),X3)
      | ~ c_Series_Osums(X9,X8,X3) ),
    file('<stdin>',cls_sums__mult_0) ).

fof(c_0_87_088,axiom,
    ! [X11,X8,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X2,X3,X3,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X8),X3)
      | ~ c_SEQ_OLIMSEQ(X2,X8,X3) ),
    file('<stdin>',cls_mult__right_OLIMSEQ_0) ).

fof(c_0_88_089,axiom,
    ! [X10,X8,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X2,X3,X3,tc_nat),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X8),X3)
      | ~ c_SEQ_OLIMSEQ(X2,X8,X3) ),
    file('<stdin>',cls_scaleR__right_OLIMSEQ_0) ).

fof(c_0_89_090,axiom,
    ! [X11,X7,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__field(X3)
      | c_Deriv_Odifferentiable(c_COMBB(X9,X7,X3,X3,X3),X11,X3)
      | ~ c_Deriv_Odifferentiable(X7,X11,X3)
      | ~ c_Deriv_Odifferentiable(X9,hAPP(X7,X11),X3) ),
    file('<stdin>',cls_differentiable__compose_0) ).

fof(c_0_90_091,axiom,
    ! [X19,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Lim_OisCont(c_COMBC(c_HOL_Otimes__class_Otimes(X3),X19,X3,X3,X3),X8,X3,X3) ),
    file('<stdin>',cls_mult__left_OisCont_0) ).

fof(c_0_91_092,axiom,
    ! [X9,X8,X2,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Series_Osums(c_COMBB(X9,X2,X3,X14,tc_nat),hAPP(X9,X8),X14)
      | ~ c_Series_Osums(X2,X8,X3)
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    file('<stdin>',cls_bounded__linear_Osums_0) ).

fof(c_0_92_093,axiom,
    ! [X9,X8,X2,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X14)
      | c_SEQ_OLIMSEQ(c_COMBB(X9,X2,X3,X14,tc_nat),hAPP(X9,X8),X14)
      | ~ c_SEQ_OLIMSEQ(X2,X8,X3)
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    file('<stdin>',cls_bounded__linear_OLIMSEQ_0) ).

fof(c_0_93_094,axiom,
    ! [X8,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Oinverse__class_Oinverse(X3),X2,X3,X3,tc_nat),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8),X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_SEQ_OLIMSEQ(X2,X8,X3) ),
    file('<stdin>',cls_LIMSEQ__inverse_0) ).

fof(c_0_94_095,axiom,
    ! [X8,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_Series_Osums(c_COMBB(c_RealVector_Oof__real(X3),X2,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X8),X3)
      | ~ c_Series_Osums(X2,X8,tc_RealDef_Oreal) ),
    file('<stdin>',cls_of__real_Osums_0) ).

fof(c_0_95_096,axiom,
    ! [X8,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Oof__real(X3),X2,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X8),X3)
      | ~ c_SEQ_OLIMSEQ(X2,X8,tc_RealDef_Oreal) ),
    file('<stdin>',cls_of__real_OLIMSEQ_0) ).

fof(c_0_96_097,axiom,
    ! [X8,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osums(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8),X3)
      | ~ c_Series_Osums(X2,X8,X3) ),
    file('<stdin>',cls_sums__minus_0) ).

fof(c_0_97_098,axiom,
    ! [X8,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8),X3)
      | ~ c_SEQ_OLIMSEQ(X2,X8,X3) ),
    file('<stdin>',cls_LIMSEQ__minus_0) ).

fof(c_0_98_099,axiom,
    ! [X10,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),c_Series_Osuminf(X2,X3)) = c_Series_Osuminf(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X2,X3,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,X3) ),
    file('<stdin>',cls_scaleR__right_Osuminf_0) ).

fof(c_0_99_100,axiom,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),c_Series_Osuminf(X2,X3)) = c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X2,X3,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,X3) ),
    file('<stdin>',cls_mult__right_Osuminf_0) ).

fof(c_0_100_101,axiom,
    ! [X9,X24,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X24),X9,X3,X3,tc_nat),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X24),c_Series_Osuminf(X9,X3))
      | ~ c_Series_Osummable(X9,X3) ),
    file('<stdin>',cls_suminf__mult_0) ).

fof(c_0_101_102,axiom,
    ! [X8,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X2,X3,tc_RealDef_Oreal,tc_nat),hAPP(c_RealVector_Onorm__class_Onorm(X3),X8),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X2,X8,X3) ),
    file('<stdin>',cls_LIMSEQ__norm_0) ).

fof(c_0_102_103,axiom,
    ! [X11,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__field(X3)
      | c_Deriv_Odifferentiable(c_COMBB(c_HOL_Oinverse__class_Oinverse(X3),X9,X3,X3,X3),X11,X3)
      | hAPP(X9,X11) = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_Deriv_Odifferentiable(X9,X11,X3) ),
    file('<stdin>',cls_differentiable__inverse_0) ).

fof(c_0_103_104,axiom,
    ! [X9,X2,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X14)
      | hAPP(X9,c_Series_Osuminf(X2,X3)) = c_Series_Osuminf(c_COMBB(X9,X2,X3,X14,tc_nat),X14)
      | ~ c_Series_Osummable(X2,X3)
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    file('<stdin>',cls_bounded__linear_Osuminf_0) ).

fof(c_0_104_105,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X2,X3,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_LIMSEQ__norm__zero_1) ).

fof(c_0_105_106,axiom,
    ! [X11,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__field(X3)
      | c_Deriv_Odifferentiable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X9,X3,X3,X3),X11,X3)
      | ~ c_Deriv_Odifferentiable(X9,X11,X3) ),
    file('<stdin>',cls_differentiable__minus_0) ).

fof(c_0_106_107,axiom,
    ! [X8,X2] :
      ( c_Series_Osums(c_COMBB(c_Complex_ORe,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X8),tc_RealDef_Oreal)
      | ~ c_Series_Osums(X2,X8,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Re_Osums_0) ).

fof(c_0_107_108,axiom,
    ! [X8,X2] :
      ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X8),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X2,X8,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Im_OLIMSEQ_0) ).

fof(c_0_108_109,axiom,
    ! [X8,X2] :
      ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_ORe,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X8),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X2,X8,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Re_OLIMSEQ_0) ).

fof(c_0_109_110,axiom,
    ! [X8,X2] :
      ( c_Series_Osums(c_COMBB(c_Complex_OIm,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X8),tc_RealDef_Oreal)
      | ~ c_Series_Osums(X2,X8,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Im_Osums_0) ).

fof(c_0_110_111,axiom,
    ! [X6,X9,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(X9,c_Suc,tc_nat,X3,tc_nat),X6,X3)
      | ~ c_SEQ_OLIMSEQ(X9,X6,X3) ),
    file('<stdin>',cls_LIMSEQ__Suc_0) ).

fof(c_0_111_112,axiom,
    ! [X9,X2,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X14)
      | c_SEQ_OZseq(c_COMBB(X9,X2,X3,X14,tc_nat),X14)
      | ~ c_SEQ_OZseq(X2,X3)
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    file('<stdin>',cls_bounded__linear_OZseq_0) ).

fof(c_0_112_113,axiom,
    ! [X9,X2,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Series_Osummable(c_COMBB(X9,X2,X3,X14,tc_nat),X14)
      | ~ c_Series_Osummable(X2,X3)
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    file('<stdin>',cls_bounded__linear_Osummable_0) ).

fof(c_0_113_114,axiom,
    ! [X9,X2,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X14)
      | c_SEQ_OCauchy(c_COMBB(X9,X2,X3,X14,tc_nat),X14)
      | ~ c_SEQ_OCauchy(X2,X3)
      | ~ c_Lim_OisUCont(X9,X3,X14) ),
    file('<stdin>',cls_isUCont__Cauchy_0) ).

fof(c_0_114_115,axiom,
    ! [X9,X2,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X14)
      | c_SEQ_OCauchy(c_COMBB(X9,X2,X3,X14,tc_nat),X14)
      | ~ c_SEQ_OCauchy(X2,X3)
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    file('<stdin>',cls_bounded__linear_OCauchy_0) ).

fof(c_0_115_116,axiom,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_SEQ_OCauchy(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OCauchy(X2,X3) ),
    file('<stdin>',cls_mult__right_OCauchy_0) ).

fof(c_0_116_117,axiom,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_SEQ_OZseq(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OZseq(X2,X3) ),
    file('<stdin>',cls_mult__right_OZseq_0) ).

fof(c_0_117_118,axiom,
    ! [X8,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_SEQ_OZseq(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OZseq(X2,X3) ),
    file('<stdin>',cls_Zseq__mult__right_0) ).

fof(c_0_118_119,axiom,
    ! [X10,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osummable(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X2,X3,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,X3) ),
    file('<stdin>',cls_scaleR__right_Osummable_0) ).

fof(c_0_119_120,axiom,
    ! [X9,X24,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Series_Osummable(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X24),X9,X3,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X9,X3) ),
    file('<stdin>',cls_summable__mult_0) ).

fof(c_0_120_121,axiom,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Series_Osummable(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X2,X3,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,X3) ),
    file('<stdin>',cls_mult__right_Osummable_0) ).

fof(c_0_121_122,axiom,
    ! [X10,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OZseq(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OZseq(X2,X3) ),
    file('<stdin>',cls_scaleR__right_OZseq_0) ).

fof(c_0_122_123,axiom,
    ! [X8,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OZseq(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OZseq(X2,X3) ),
    file('<stdin>',cls_scaleR_OZseq__right_0) ).

fof(c_0_123_124,axiom,
    ! [X10,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OCauchy(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OCauchy(X2,X3) ),
    file('<stdin>',cls_scaleR__right_OCauchy_0) ).

fof(c_0_124_125,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osuminf(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Series_Osuminf(X2,X3))
      | ~ c_Series_Osummable(X2,X3) ),
    file('<stdin>',cls_suminf__minus_0) ).

fof(c_0_125_126,axiom,
    ! [X7,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_Olim(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X7,X3,X3,tc_nat),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_SEQ_Olim(X7,X3))
      | ~ c_SEQ_Oconvergent(X7,X3) ),
    file('<stdin>',cls_lim__uminus_0) ).

fof(c_0_126_127,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),c_Series_Osuminf(X2,tc_RealDef_Oreal)) = c_Series_Osuminf(c_COMBB(c_RealVector_Oof__real(X3),X2,tc_RealDef_Oreal,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,tc_RealDef_Oreal) ),
    file('<stdin>',cls_of__real_Osuminf_0) ).

fof(c_0_127_128,axiom,
    ! [X12,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_RealVector_Obounded__linear(c_COMBC(c_HOL_Otimes__class_Otimes(X3),X12,X3,X3,X3),X3,X3) ),
    file('<stdin>',cls_mult_Obounded__linear__left_0) ).

fof(c_0_128_129,axiom,
    ! [X19,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Lim_OisUCont(c_COMBC(c_HOL_Otimes__class_Otimes(X3),X19,X3,X3,X3),X3,X3) ),
    file('<stdin>',cls_mult__left_OisUCont_0) ).

fof(c_0_129_130,axiom,
    ! [X2] :
      ( hAPP(c_Complex_ORe,c_Series_Osuminf(X2,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(c_Complex_ORe,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(X2,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Re_Osuminf_0) ).

fof(c_0_130_131,axiom,
    ! [X2] :
      ( hAPP(c_Complex_OIm,c_Series_Osuminf(X2,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(c_Complex_OIm,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(X2,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Im_Osuminf_0) ).

fof(c_0_131_132,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_SEQ_OCauchy(c_COMBB(c_RealVector_Oof__real(X3),X2,tc_RealDef_Oreal,X3,tc_nat),X3)
      | ~ c_SEQ_OCauchy(X2,tc_RealDef_Oreal) ),
    file('<stdin>',cls_of__real_OCauchy_0) ).

fof(c_0_132_133,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_Series_Osummable(c_COMBB(c_RealVector_Oof__real(X3),X2,tc_RealDef_Oreal,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,tc_RealDef_Oreal) ),
    file('<stdin>',cls_of__real_Osummable_0) ).

fof(c_0_133_134,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_SEQ_OZseq(c_COMBB(c_RealVector_Oof__real(X3),X2,tc_RealDef_Oreal,X3,tc_nat),X3)
      | ~ c_SEQ_OZseq(X2,tc_RealDef_Oreal) ),
    file('<stdin>',cls_of__real_OZseq_0) ).

fof(c_0_134_135,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OZseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OZseq(X2,X3) ),
    file('<stdin>',cls_Zseq__minus_0) ).

fof(c_0_135_136,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osummable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,X3) ),
    file('<stdin>',cls_summable__minus_0) ).

fof(c_0_136_137,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_Oconvergent(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_Oconvergent(X2,X3) ),
    file('<stdin>',cls_convergent__minus__iff_0) ).

fof(c_0_137_138,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X2,X3,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OZseq(X2,X3) ),
    file('<stdin>',cls_Zseq__norm__iff_1) ).

fof(c_0_138_139,axiom,
    ! [X2] :
      ( c_SEQ_OCauchy(c_COMBB(c_Complex_ORe,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OCauchy(X2,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Re_OCauchy_0) ).

fof(c_0_139_140,axiom,
    ! [X2] :
      ( c_SEQ_OZseq(c_COMBB(c_Complex_ORe,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OZseq(X2,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Re_OZseq_0) ).

fof(c_0_140_141,axiom,
    ! [X2] :
      ( c_Series_Osummable(c_COMBB(c_Complex_ORe,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(X2,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Re_Osummable_0) ).

fof(c_0_141_142,axiom,
    ! [X2] :
      ( c_SEQ_OZseq(c_COMBB(c_Complex_OIm,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OZseq(X2,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Im_OZseq_0) ).

fof(c_0_142_143,axiom,
    ! [X2] :
      ( c_SEQ_OCauchy(c_COMBB(c_Complex_OIm,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OCauchy(X2,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Im_OCauchy_0) ).

fof(c_0_143_144,axiom,
    ! [X2] :
      ( c_Series_Osummable(c_COMBB(c_Complex_OIm,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(X2,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Im_Osummable_0) ).

fof(c_0_144_145,axiom,
    ! [X9,X8,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X14)
      | c_Lim_OisCont(X9,X8,X3,X14)
      | ~ c_Lim_OLIM(X9,X8,hAPP(X9,X8),X3,X14) ),
    file('<stdin>',cls_isCont__def_1) ).

fof(c_0_145_146,axiom,
    ! [X18,X8,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_HOL_Ozero(X3)
      | ~ class_RealVector_Oreal__normed__algebra__1(X14)
      | ~ c_Lim_OLIM(c_COMBK(X18,X3,X14),X8,c_HOL_Ozero__class_Ozero(X3),X14,X3)
      | X18 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_LIM__not__zero_0) ).

fof(c_0_146_147,axiom,
    ! [X18,X8,X17,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Oreal__normed__algebra__1(X14)
      | ~ c_Lim_OLIM(c_COMBK(X18,X3,X14),X8,X17,X14,X3)
      | X18 = X17 ),
    file('<stdin>',cls_LIM__const__not__eq_0) ).

fof(c_0_147_148,axiom,
    ! [X18,X8,X17,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X14)
      | ~ class_RealVector_Oreal__normed__algebra__1(X3)
      | X18 = X17
      | ~ c_Lim_OLIM(c_COMBK(X18,X14,X3),X8,X17,X3,X14) ),
    file('<stdin>',cls_LIM__const__eq_0) ).

fof(c_0_148_149,axiom,
    ! [X32,X24,X12,X8,X3] :
      ( ~ class_Ring__and__Field_Osemiring(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X32)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X12),X32)),X24)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12)),X32)),X24) ),
    file('<stdin>',cls_combine__common__factor_0) ).

fof(c_0_149_150,axiom,
    ! [X9,X8,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X14)
      | c_Lim_OLIM(X9,X8,hAPP(X9,X8),X3,X14)
      | ~ c_Lim_OisCont(X9,X8,X3,X14) ),
    file('<stdin>',cls_isCont__def_0) ).

fof(c_0_150_151,axiom,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8)),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X12)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12)),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8))),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X12))
      | X12 = c_HOL_Ozero__class_Ozero(X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_inverse__add_0) ).

fof(c_0_151_152,axiom,
    ! [X11,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Lim_OLIM(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X8,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X8),X3,X3) ),
    file('<stdin>',cls_mult__right_Ocont_0) ).

fof(c_0_152_153,axiom,
    ! [X10,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Lim_OLIM(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X8,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X8),X3,X3) ),
    file('<stdin>',cls_scaleR__right_Ocont_0) ).

fof(c_0_153_154,axiom,
    ! [X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Lim_OLIM(X9,X8,hAPP(X9,X8),X3,X14)
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    file('<stdin>',cls_bounded__linear_Ocont_0) ).

fof(c_0_154_155,axiom,
    ! [X11,X18,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBK(X18,X14,X3),X11,X18,X3,X14) ),
    file('<stdin>',cls_LIM__const_0) ).

fof(c_0_155_156,axiom,
    ! [X15,X18,X14,X3] :
      ( ~ class_RealVector_Otopological__space(X14)
      | c_Limits_Otendsto(c_COMBK(X18,X14,X3),X18,X15,X3,X14) ),
    file('<stdin>',cls_tendsto__const_0) ).

fof(c_0_156_157,axiom,
    ! [X8,X3] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X3)
      | c_Lim_OLIM(c_HOL_Oinverse__class_Oinverse(X3),X8,hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8),X3,X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_LIM__inverse__fun_0) ).

fof(c_0_157_158,axiom,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8)),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X12)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12))),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X12))
      | X12 = c_HOL_Ozero__class_Ozero(X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_division__ring__inverse__add_0) ).

fof(c_0_158_159,axiom,
    ! [X23,X24,X12,X8,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X24)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X12),X23)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X23)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X12),X24))
      | X24 = X23
      | X8 = X12 ),
    file('<stdin>',cls_class__ringb_Onoteq__reduce_0) ).

fof(c_0_159_160,axiom,
    ! [X21,X19,X11,X22,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X22),X19)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X21)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X22),X21)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X19))
      | X19 = X21
      | X22 = X11 ),
    file('<stdin>',cls_class__ringb_Oadd__mul__solve_0) ).

fof(c_0_160_161,axiom,
    ! [X37,X38,X40,X39,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),X40)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X38),X37)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X38),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),X40)),X37)) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I15_J_0) ).

fof(c_0_161_162,axiom,
    ! [X21,X19,X11,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X19)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X21)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X21)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X19)) ),
    file('<stdin>',cls_class__ringb_Oadd__mul__solve_1) ).

fof(c_0_162_163,axiom,
    ! [X11,X23,X24,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X24)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X23)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X23)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X24)) ),
    file('<stdin>',cls_class__ringb_Onoteq__reduce_1) ).

fof(c_0_163_164,axiom,
    ! [X37,X38,X40,X39,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),X40)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X38),X37)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X40),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X38),X37))) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I14_J_0) ).

fof(c_0_164_165,axiom,
    ! [X37,X38,X40,X39,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),X40)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X38),X37)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),X38)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X40),X37)) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I13_J_0) ).

fof(c_0_165_166,axiom,
    ! [X23,X24,X12,X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X24),X23)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X24)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X12),X23)) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I20_J_0) ).

fof(c_0_166_167,axiom,
    ! [X24,X12,X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12)),X24) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X24)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X12),X24)) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I8_J_0) ).

fof(c_0_167_168,axiom,
    ! [X36,X19,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),X19)),X36) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X36)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X19),X36)) ),
    file('<stdin>',cls_mult__left_Oadd_0) ).

fof(c_0_168_169,axiom,
    ! [X12,X35,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X35)),X12) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X35),X12)) ),
    file('<stdin>',cls_mult_Oadd__left_0) ).

fof(c_0_169_170,axiom,
    ! [X24,X12,X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12)),X24) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X24)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X12),X24)) ),
    file('<stdin>',cls_comm__semiring__class_Odistrib_0) ).

fof(c_0_170_171,axiom,
    ! [X34,X12,X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X34)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X12),X34)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12)),X34) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I1_J_0) ).

fof(c_0_171_172,axiom,
    ! [X19,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X11)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X19),X19)) != c_HOL_Ozero__class_Ozero(X3)
      | X11 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_sum__squares__eq__zero__iff_0) ).

fof(c_0_172_173,axiom,
    ! [X19,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X11)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X19),X19)) != c_HOL_Ozero__class_Ozero(X3)
      | X19 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_sum__squares__eq__zero__iff_1) ).

fof(c_0_173_174,axiom,
    ! [X38,X40,X39,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),X40)),X38) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),X38)),X40) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I16_J_0) ).

fof(c_0_174_175,axiom,
    ! [X19,X30,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X30),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),X19)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X30),X11)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X30),X19)) ),
    file('<stdin>',cls_mult__right_Oadd_0) ).

fof(c_0_175_176,axiom,
    ! [X31,X12,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X12),X31)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X31)) ),
    file('<stdin>',cls_mult_Oadd__right_0) ).

fof(c_0_176_177,axiom,
    ! [X21,X19,X11,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X19),X21)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X19)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X21)) ),
    file('<stdin>',cls_class__semiring_Omul__d_0) ).

fof(c_0_177_178,axiom,
    ! [X24,X12,X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12)),X24) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X24)),X12) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I23_J_0) ).

fof(c_0_178_179,axiom,
    ! [X19,X11,X8,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),X19)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X11)),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X19)) ),
    file('<stdin>',cls_scaleR__right_Oadd_0) ).

fof(c_0_179_180,axiom,
    ! [X31,X12,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X12),X31)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X12)),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X31)) ),
    file('<stdin>',cls_scaleR_Oadd__right_0) ).

fof(c_0_180_181,axiom,
    ! [X11,X10,X23,X24,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X10),X24)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X10),X23))
      | X24 = X23
      | X10 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_class__ringb_Oadd__scale__eq__noteq_0) ).

fof(c_0_181_182,axiom,
    ! [X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),c_HOL_Ozero__class_Ozero(X3)),c_HOL_Ozero__class_Ozero(X3))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),c_HOL_Ozero__class_Ozero(X3)),c_HOL_Ozero__class_Ozero(X3))) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_sum__squares__eq__zero__iff_2) ).

fof(c_0_182_183,axiom,
    ! [X24,X12,X8,X3] :
      ( ~ class_OrderedGroup_Oab__semigroup__mult(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12)),X24) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X12),X24)) ),
    file('<stdin>',cls_ab__semigroup__mult__class_Omult__ac_I1_J_0) ).

fof(c_0_183_184,axiom,
    ! [X38,X40,X39,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),X40)),X38) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X40),X38)) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I17_J_0) ).

fof(c_0_184_185,axiom,
    ! [X37,X38,X39,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X38),X37)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),X38)),X37) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I18_J_0) ).

fof(c_0_185_186,axiom,
    ! [X21,X19,X11,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X19),X21)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X19)),X21) ),
    file('<stdin>',cls_class__semiring_Omul__a_0) ).

fof(c_0_186_187,axiom,
    ! [X10,X12,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X8)),X12) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12)) ),
    file('<stdin>',cls_mult_OscaleR__left_0) ).

fof(c_0_187_188,axiom,
    ! [X19,X11,X10,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X11)),X19) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X19)) ),
    file('<stdin>',cls_mult__left_OscaleR_0) ).

fof(c_0_188_189,axiom,
    ! [X24,X12,X8,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12)),X24) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X12),X24)) ),
    file('<stdin>',cls_comm__monoid__add_Omult__assoc_0) ).

fof(c_0_189_190,axiom,
    ! [X21,X19,X11,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X19),X21)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),X19)),X21) ),
    file('<stdin>',cls_class__semiring_Oadd__a_0) ).

fof(c_0_190_191,axiom,
    ! [X24,X12,X8,X3] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12)),X24) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X12),X24)) ),
    file('<stdin>',cls_ab__semigroup__add__class_Oadd__ac_I1_J_0) ).

fof(c_0_191_192,axiom,
    ! [X23,X24,X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X24),X23)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X24)),X23) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I25_J_0) ).

fof(c_0_192_193,axiom,
    ! [X24,X12,X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12)),X24) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X12),X24)) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I21_J_0) ).

fof(c_0_193_194,axiom,
    ! [X19,X11,X8,X3] :
      ( ~ class_RealVector_Oreal__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X11)),X19) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X19)) ),
    file('<stdin>',cls_mult__scaleR__left_0) ).

fof(c_0_194_195,axiom,
    ! [X21,X19,X11,X29,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X19),X21)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X19),X29)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),X21) = X29 ),
    file('<stdin>',cls_add__cancel__21_0) ).

fof(c_0_195_196,axiom,
    ! [X25,X14,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | c_Finite__Set_Osetsum(c_COMBK(c_HOL_Ozero__class_Ozero(X3),X3,X14),X25,X14,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_setsum__0_0) ).

fof(c_0_196_197,axiom,
    ! [X15,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Limits_OZfun(c_COMBK(c_HOL_Ozero__class_Ozero(X14),X14,X3),X15,X3,X14) ),
    file('<stdin>',cls_Zfun__zero_0) ).

fof(c_0_197_198,axiom,
    ! [X18,X8,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X14)
      | c_Lim_OisCont(c_COMBK(X18,X14,X3),X8,X3,X14) ),
    file('<stdin>',cls_isCont__const_0) ).

fof(c_0_198_199,axiom,
    ! [X11,X9,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X14)
      | c_Lim_OisCont(X9,X11,X3,X14)
      | ~ c_Lim_OisUCont(X9,X3,X14) ),
    file('<stdin>',cls_isUCont__isCont_0) ).

fof(c_0_199_200,axiom,
    ! [X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Lim_OisCont(X9,X8,X3,X14)
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    file('<stdin>',cls_bounded__linear_OisCont_0) ).

fof(c_0_200_201,axiom,
    ! [X37,X38,X39,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X38),X37)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X38),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),X37)) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I19_J_0) ).

fof(c_0_201_202,axiom,
    ! [X10,X12,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X12)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12)) ),
    file('<stdin>',cls_mult_OscaleR__right_0) ).

fof(c_0_202_203,axiom,
    ! [X24,X12,X8,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X12),X24)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X12),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X24)) ),
    file('<stdin>',cls_comm__monoid__add_Omult__left__commute_0) ).

fof(c_0_203_204,axiom,
    ! [X21,X19,X11,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X19),X21)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X19),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),X21)) ),
    file('<stdin>',cls_add__cancel__21_1) ).

fof(c_0_204_205,axiom,
    ! [X23,X24,X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X24),X23)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X24),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X23)) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I22_J_0) ).

fof(c_0_205_206,axiom,
    ! [X30,X11,X10,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X30),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X11)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X30),X11)) ),
    file('<stdin>',cls_mult__right_OscaleR_0) ).

fof(c_0_206_207,axiom,
    ! [X19,X11,X8,X3] :
      ( ~ class_RealVector_Oreal__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X19)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X19)) ),
    file('<stdin>',cls_mult__scaleR__right_0) ).

fof(c_0_207_208,axiom,
    ! [X10,X12,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X12)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X12)) ),
    file('<stdin>',cls_scaleR_OscaleR__right_0) ).

fof(c_0_208_209,axiom,
    ! [X11,X12,X8,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X12),X11)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X12),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X11)) ),
    file('<stdin>',cls_scaleR__left__commute_0) ).

fof(c_0_209_210,axiom,
    ! [X11,X28,X10,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X28),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X11)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X28),X11)) ),
    file('<stdin>',cls_scaleR__right_OscaleR_0) ).

fof(c_0_210_211,axiom,
    ! [X12,X8,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)),X12)) = X12 ),
    file('<stdin>',cls_add__minus__cancel_0) ).

fof(c_0_211_212,axiom,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X12)),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8))
      | X12 = c_HOL_Ozero__class_Ozero(X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_nonzero__inverse__mult__distrib_0) ).

fof(c_0_212_213,axiom,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8)),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X12)) ),
    file('<stdin>',cls_inverse__mult__distrib_0) ).

fof(c_0_213_214,axiom,
    ! [X12,X8,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)) ),
    file('<stdin>',cls_minus__add_0) ).

fof(c_0_214_215,axiom,
    ! [X12,X8,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)) ),
    file('<stdin>',cls_minus__add__distrib_0) ).

fof(c_0_215_216,axiom,
    ! [X11,X10,X9,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X14)
      | hAPP(X9,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X11)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X10),hAPP(X9,X11))
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    file('<stdin>',cls_bounded__linear_OscaleR_0) ).

fof(c_0_216_217,axiom,
    ! [X11,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Lim_OisCont(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X8,X3,X3) ),
    file('<stdin>',cls_mult__right_OisCont_0) ).

fof(c_0_217_218,axiom,
    ! [X10,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Lim_OisCont(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X8,X3,X3) ),
    file('<stdin>',cls_scaleR__right_OisCont_0) ).

fof(c_0_218_219,axiom,
    ! [X21,X19,X11,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X19),X21)) != X19
      | X11 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X21) ),
    file('<stdin>',cls_add__cancel__end_0) ).

fof(c_0_219_220,axiom,
    ! [X6,X18,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | X18 = X6
      | ~ c_SEQ_OLIMSEQ(c_COMBK(X18,X3,tc_nat),X6,X3) ),
    file('<stdin>',cls_LIMSEQ__const__iff_0) ).

fof(c_0_220_221,axiom,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)),X12) ),
    file('<stdin>',cls_minus__mult__left_0) ).

fof(c_0_221_222,axiom,
    ! [X12,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)),X12) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12)) ),
    file('<stdin>',cls_mult_Ominus__left_0) ).

fof(c_0_222_223,axiom,
    ! [X19,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11)),X19) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X19)) ),
    file('<stdin>',cls_mult__left_Ominus_0) ).

fof(c_0_223_224,axiom,
    ! [X21,X19,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X21)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X19),X21)) = X19 ),
    file('<stdin>',cls_add__cancel__end_1) ).

fof(c_0_224_225,axiom,
    ! [X12,X8,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12)) = X12 ),
    file('<stdin>',cls_minus__add__cancel_0) ).

fof(c_0_225_226,axiom,
    ! [X12,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X12),X12) ),
    file('<stdin>',cls_square__eq__iff_1) ).

fof(c_0_226_227,axiom,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12) ),
    file('<stdin>',cls_minus__mult__minus_0) ).

fof(c_0_227_228,axiom,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)),X12) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)) ),
    file('<stdin>',cls_minus__mult__commute_0) ).

fof(c_0_228_229,axiom,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)) ),
    file('<stdin>',cls_minus__mult__right_0) ).

fof(c_0_229_230,axiom,
    ! [X12,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12)) ),
    file('<stdin>',cls_mult_Ominus__right_0) ).

fof(c_0_230_231,axiom,
    ! [X30,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X30),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11)) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X30),X11)) ),
    file('<stdin>',cls_mult__right_Ominus_0) ).

fof(c_0_231_232,axiom,
    ! [X11,X8,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11)) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X11)) ),
    file('<stdin>',cls_scaleR__minus__right_0) ).

fof(c_0_232_233,axiom,
    ! [X12,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X12)) ),
    file('<stdin>',cls_scaleR_Ominus__right_0) ).

fof(c_0_233_234,axiom,
    ! [X19,X11,X3] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X19)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X19) ),
    file('<stdin>',cls_mult__left__idem_0) ).

fof(c_0_234_235,axiom,
    ! [X18,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | X18 = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_SEQ_OZseq(c_COMBK(X18,X3,tc_nat),X3) ),
    file('<stdin>',cls_Zseq__const__iff_0) ).

fof(c_0_235_236,axiom,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X8) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X12),X12)
      | X8 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)
      | X8 = X12 ),
    file('<stdin>',cls_square__eq__iff_0) ).

fof(c_0_236_237,axiom,
    ! [X11,X10,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X11) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(c_RealVector_Oof__real(X3),X10)),X11) ),
    file('<stdin>',cls_scaleR__conv__of__real_0) ).

fof(c_0_237_238,axiom,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osums(c_COMBK(c_HOL_Ozero__class_Ozero(X3),X3,tc_nat),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_sums__zero_0) ).

fof(c_0_238_239,axiom,
    ! [X12,X8,X2,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | X8 = X12
      | ~ c_SEQ_OLIMSEQ(X2,X12,X3)
      | ~ c_SEQ_OLIMSEQ(X2,X8,X3) ),
    file('<stdin>',cls_LIMSEQ__unique_0) ).

fof(c_0_239_240,axiom,
    ! [X21,X19,X11,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),X19) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),X21)
      | X19 = X21 ),
    file('<stdin>',cls_class__ringb_Oadd__cancel_0) ).

fof(c_0_240_241,axiom,
    ! [X11,X12,X8,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X11) != hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X12),X11)
      | X11 = c_HOL_Ozero__class_Ozero(X3)
      | X8 = X12 ),
    file('<stdin>',cls_scaleR__cancel__right_0) ).

fof(c_0_241_242,axiom,
    ! [X19,X11,X8,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X11) != hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X19)
      | X8 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X11 = X19 ),
    file('<stdin>',cls_scaleR__cancel__left_0) ).

fof(c_0_242_243,axiom,
    ! [X24,X12,X8,X3] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X24)
      | X12 = X24 ),
    file('<stdin>',cls_add__imp__eq_0) ).

fof(c_0_243_244,axiom,
    ! [X24,X12,X8,X3] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X24)
      | X12 = X24 ),
    file('<stdin>',cls_add__left__cancel_0) ).

fof(c_0_244_245,axiom,
    ! [X24,X12,X8,X3] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X12),X8) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X24),X8)
      | X12 = X24 ),
    file('<stdin>',cls_add__right__cancel_0) ).

fof(c_0_245_246,axiom,
    ! [X11,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__field(X3)
      | c_Deriv_Odifferentiable(c_COMBK(X8,X3,X3),X11,X3) ),
    file('<stdin>',cls_differentiable__const_0) ).

fof(c_0_246_247,axiom,
    ! [X18,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OLIMSEQ(c_COMBK(X18,X3,tc_nat),X18,X3) ),
    file('<stdin>',cls_LIMSEQ__const_0) ).

fof(c_0_247_248,axiom,
    ! [X11,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OLIMSEQ(c_COMBK(X11,X3,tc_nat),X11,X3) ),
    file('<stdin>',cls_LIMSEQ__const__iff_1) ).

fof(c_0_248_249,axiom,
    ! [X9,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Lim_OisUCont(X9,X3,X14)
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    file('<stdin>',cls_bounded__linear_OisUCont_0) ).

fof(c_0_249_250,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_Oconvergent(X2,X3)
      | ~ c_SEQ_OLIMSEQ(X2,c_SEQ_Olim(X2,X3),X3) ),
    file('<stdin>',cls_convergent__LIMSEQ__iff_1) ).

fof(c_0_250_251,axiom,
    ! [X33,X34,X18] :
      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X34),X18) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X33),X18)
      | X34 = X33 ),
    file('<stdin>',cls_nat__add__right__cancel_0) ).

fof(c_0_251_252,axiom,
    ! [X33,X34,X18] :
      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X18),X34) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X18),X33)
      | X34 = X33 ),
    file('<stdin>',cls_nat__add__left__cancel_0) ).

fof(c_0_252_253,axiom,
    ! [X21,X19,X11] :
      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X11),X19) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X11),X21)
      | X19 = X21 ),
    file('<stdin>',cls_natgb_Oadd__cancel_0) ).

fof(c_0_253_254,axiom,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osuminf(c_COMBK(c_HOL_Ozero__class_Ozero(X3),X3,tc_nat),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_suminf__zero_0) ).

fof(c_0_254_255,axiom,
    ! [X12,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)),X12) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_eq__neg__iff__add__eq__0_0) ).

fof(c_0_255_256,axiom,
    ! [X8,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)),X8) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_ab__left__minus_0) ).

fof(c_0_256_257,axiom,
    ! [X8,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)),X8) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_left__minus_0) ).

fof(c_0_257_258,axiom,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osummable(c_COMBK(c_HOL_Ozero__class_Ozero(X3),X3,tc_nat),X3) ),
    file('<stdin>',cls_summable__zero_0) ).

fof(c_0_258_259,axiom,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OZseq(c_COMBK(c_HOL_Ozero__class_Ozero(X3),X3,tc_nat),X3) ),
    file('<stdin>',cls_Zseq__zero_0) ).

fof(c_0_259_260,axiom,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8)) ),
    file('<stdin>',cls_inverse__minus__eq_0) ).

fof(c_0_260_261,axiom,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8))
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_nonzero__inverse__minus__eq_0) ).

fof(c_0_261_262,axiom,
    ! [X19,X11,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X11) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X19) ),
    file('<stdin>',cls_scaleR__cancel__left_1) ).

fof(c_0_262_263,axiom,
    ! [X12,X8,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),c_HOL_Ozero__class_Ozero(X3)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X12),c_HOL_Ozero__class_Ozero(X3)) ),
    file('<stdin>',cls_scaleR__cancel__right_1) ).

fof(c_0_263_264,axiom,
    ! [X12,X8,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12) != c_HOL_Ozero__class_Ozero(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8) = X12 ),
    file('<stdin>',cls_minus__unique_0) ).

fof(c_0_264_265,axiom,
    ! [X12,X8,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12) != c_HOL_Ozero__class_Ozero(X3)
      | X8 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12) ),
    file('<stdin>',cls_eq__neg__iff__add__eq__0_1) ).

fof(c_0_265_266,axiom,
    ! [X19,X11,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X19) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X19),X11) ),
    file('<stdin>',cls_class__semiring_Omul__c_0) ).

fof(c_0_266_267,axiom,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X12),X8) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I7_J_0) ).

fof(c_0_267_268,axiom,
    ! [X24,X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X24) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X24),X8) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I24_J_0) ).

fof(c_0_268_269,axiom,
    ! [X19,X11,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),X19) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X19),X11) ),
    file('<stdin>',cls_class__semiring_Oadd__c_0) ).

fof(c_0_269_270,axiom,
    ! [X12,X8,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X12),X8) ),
    file('<stdin>',cls_comm__monoid__add_Omult__commute_0) ).

fof(c_0_270_271,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OLIMSEQ(X2,c_SEQ_Olim(X2,X3),X3)
      | ~ c_SEQ_Oconvergent(X2,X3) ),
    file('<stdin>',cls_convergent__LIMSEQ__iff_0) ).

fof(c_0_271_272,axiom,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osums(X9,c_Series_Osuminf(X9,X3),X3)
      | ~ c_Series_Osummable(X9,X3) ),
    file('<stdin>',cls_summable__sums_0) ).

fof(c_0_272_273,axiom,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ c_Series_Osummable(X9,X3)
      | c_Series_Osums(X9,c_Series_Osuminf(X9,X3),X3) ),
    file('<stdin>',cls_sums__iff_2) ).

fof(c_0_273_274,axiom,
    ! [X20,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | X20 = c_Series_Osuminf(X9,X3)
      | ~ c_Series_Osums(X9,X20,X3) ),
    file('<stdin>',cls_sums__unique_0) ).

fof(c_0_274_275,axiom,
    ! [X11,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osuminf(X9,X3) = X11
      | ~ c_Series_Osums(X9,X11,X3) ),
    file('<stdin>',cls_sums__iff_1) ).

fof(c_0_275_276,axiom,
    ! [X2,X17,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_Olim(X2,X3) = X17
      | ~ c_SEQ_OLIMSEQ(X2,X17,X3) ),
    file('<stdin>',cls_limI_0) ).

fof(c_0_276_277,axiom,
    ! [X6,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osummable(X9,X3)
      | ~ c_Series_Osums(X9,X6,X3) ),
    file('<stdin>',cls_sums__summable_0) ).

fof(c_0_277_278,axiom,
    ! [X11,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osummable(X9,X3)
      | ~ c_Series_Osums(X9,X11,X3) ),
    file('<stdin>',cls_sums__iff_0) ).

fof(c_0_278_279,axiom,
    ! [X2,X17,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_Oconvergent(X2,X3)
      | ~ c_SEQ_OLIMSEQ(X2,X17,X3) ),
    file('<stdin>',cls_convergentI_0) ).

fof(c_0_279_280,axiom,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_Oconvergent(X2,X3)
      | ~ c_SEQ_OLIMSEQ(X2,X11,X3) ),
    file('<stdin>',cls_convergent__def_1) ).

fof(c_0_280_281,axiom,
    ! [X8,X2,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OCauchy(X2,X3)
      | ~ c_SEQ_OLIMSEQ(X2,X8,X3) ),
    file('<stdin>',cls_LIMSEQ__imp__Cauchy_0) ).

fof(c_0_281_282,axiom,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12) != c_HOL_Ozero__class_Ozero(X3)
      | X12 = c_HOL_Ozero__class_Ozero(X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult__eq__0__iff_0) ).

fof(c_0_282_283,axiom,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12) != c_HOL_Ozero__class_Ozero(X3)
      | X12 = c_HOL_Ozero__class_Ozero(X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_no__zero__divisors_0) ).

fof(c_0_283_284,axiom,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12) != c_HOL_Ozero__class_Ozero(X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3)
      | X12 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_no__zero__divirors__neq0_0) ).

fof(c_0_284_285,axiom,
    ! [X11,X8,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X11) != c_HOL_Ozero__class_Ozero(X3)
      | X11 = c_HOL_Ozero__class_Ozero(X3)
      | X8 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_scaleR__eq__0__iff_0) ).

fof(c_0_285_286,axiom,
    ! [X11,X8,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | X11 != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),X8)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_class__ringb_Oadd__r0__iff_0) ).

fof(c_0_286_287,axiom,
    ! [X8,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_right__minus_0) ).

fof(c_0_287_288,axiom,
    ! [X8,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X8) != c_HOL_Ozero__class_Ozero(X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_double__eq__0__iff_0) ).

fof(c_0_288_289,axiom,
    ! [X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Lim_OisUCont(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X3,X3) ),
    file('<stdin>',cls_mult__right_OisUCont_0) ).

fof(c_0_289_290,axiom,
    ! [X8,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_RealVector_Obounded__linear(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X3,X3) ),
    file('<stdin>',cls_mult_Obounded__linear__right_0) ).

fof(c_0_290_291,axiom,
    ! [X10,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Lim_OisUCont(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X3,X3) ),
    file('<stdin>',cls_scaleR__right_OisUCont_0) ).

fof(c_0_291_292,axiom,
    ! [X8,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_Obounded__linear(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X3,X3) ),
    file('<stdin>',cls_scaleR_Obounded__linear__right_0) ).

fof(c_0_292_293,axiom,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(X9,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_Series_Osummable(X9,X3) ),
    file('<stdin>',cls_summable__LIMSEQ__zero_0) ).

fof(c_0_293_294,axiom,
    ! [X1,X2,X3] :
      ( X2 = X1
      | ~ c_fequal(X2,X1,X3) ),
    file('<stdin>',cls_ATP__Linkup_Ofequal__imp__equal_0) ).

fof(c_0_294_295,axiom,
    ! [X11,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(c_RealVector_Onorm__class_Onorm(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11)) = hAPP(c_RealVector_Onorm__class_Onorm(X3),X11) ),
    file('<stdin>',cls_norm__minus__cancel_0) ).

fof(c_0_295_296,axiom,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8) != hAPP(c_HOL_Oinverse__class_Oinverse(X3),X12)
      | X8 = X12
      | X12 = c_HOL_Ozero__class_Ozero(X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_nonzero__inverse__eq__imp__eq_0) ).

fof(c_0_296_297,axiom,
    ! [X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),c_HOL_Ozero__class_Ozero(X3)),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_double__eq__0__iff_1) ).

fof(c_0_297_298,axiom,
    ! [X19,X11] :
      ( hAPP(c_Complex_OIm,X11) != hAPP(c_Complex_OIm,X19)
      | hAPP(c_Complex_ORe,X11) != hAPP(c_Complex_ORe,X19)
      | X11 = X19 ),
    file('<stdin>',cls_complex__equality_0) ).

fof(c_0_298_299,axiom,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8) != hAPP(c_HOL_Oinverse__class_Oinverse(X3),X12)
      | X8 = X12 ),
    file('<stdin>',cls_inverse__eq__iff__eq_0) ).

fof(c_0_299_300,axiom,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),c_HOL_Ozero__class_Ozero(X3)),X8) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I9_J_0) ).

fof(c_0_300_301,axiom,
    ! [X19,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),c_HOL_Ozero__class_Ozero(X3)),X19) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult__left_Ozero_0) ).

fof(c_0_301_302,axiom,
    ! [X12,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),c_HOL_Ozero__class_Ozero(X3)),X12) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult_Ozero__left_0) ).

fof(c_0_302_303,axiom,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),c_HOL_Ozero__class_Ozero(X3)),X11) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_class__semiring_Omul__0_0) ).

fof(c_0_303_304,axiom,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Omult__zero(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),c_HOL_Ozero__class_Ozero(X3)),X8) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult__zero__left_0) ).

fof(c_0_304_305,axiom,
    ! [X12,X3] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),c_HOL_Ozero__class_Ozero(X3)),X12) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult__eq__0__iff_1) ).

fof(c_0_305_306,axiom,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X3),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8)) = X8 ),
    file('<stdin>',cls_inverse__inverse__eq_0) ).

fof(c_0_306_307,axiom,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | X11 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),c_HOL_Ozero__class_Ozero(X3)) ),
    file('<stdin>',cls_class__ringb_Oadd__r0__iff_1) ).

fof(c_0_307_308,axiom,
    ! [X12,X8,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)
      | X8 = X12 ),
    file('<stdin>',cls_neg__equal__iff__equal_0) ).

fof(c_0_308_309,axiom,
    ! [X19,X11,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X19)
      | X11 = X19 ),
    file('<stdin>',cls_compl__eq__compl__iff_0) ).

fof(c_0_309_310,axiom,
    ! [X19,X11,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),X11) != hAPP(c_RealVector_Oof__real(X3),X19)
      | X11 = X19 ),
    file('<stdin>',cls_of__real__eq__iff_0) ).

fof(c_0_310_311,axiom,
    ! [X8,X3] :
      ( ~ class_OrderedGroup_Omonoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),c_HOL_Ozero__class_Ozero(X3)),X8) = X8 ),
    file('<stdin>',cls_add__0__left_0) ).

fof(c_0_311_312,axiom,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),c_HOL_Ozero__class_Ozero(X3)),X11) = X11 ),
    file('<stdin>',cls_class__semiring_Oadd__0_0) ).

fof(c_0_312_313,axiom,
    ! [X8,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),c_HOL_Ozero__class_Ozero(X3)),X8) = X8 ),
    file('<stdin>',cls_comm__monoid__add_Omult__1_0) ).

fof(c_0_313_314,axiom,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),c_HOL_Ozero__class_Ozero(X3)),X8) = X8 ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I5_J_0) ).

fof(c_0_314_315,axiom,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X3),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8)) = X8
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_nonzero__inverse__inverse__eq_0) ).

fof(c_0_315_316,axiom,
    ! [X8,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_scaleR_Ozero__right_0) ).

fof(c_0_316_317,axiom,
    ! [X12,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X12) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_scaleR_Ozero__left_0) ).

fof(c_0_317_318,axiom,
    ! [X8,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_scaleR__eq__0__iff_2) ).

fof(c_0_318_319,axiom,
    ! [X11,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X11) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_scaleR__eq__0__iff_1) ).

fof(c_0_319_320,axiom,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I10_J_0) ).

fof(c_0_320_321,axiom,
    ! [X8,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult_Ozero__right_0) ).

fof(c_0_321_322,axiom,
    ! [X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult__right_Ozero_0) ).

fof(c_0_322_323,axiom,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Omult__zero(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult__zero__right_0) ).

fof(c_0_323_324,axiom,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult__eq__0__iff_2) ).

fof(c_0_324_325,axiom,
    ! [X8,X3] :
      ( ~ class_OrderedGroup_Omonoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),c_HOL_Ozero__class_Ozero(X3)) = X8 ),
    file('<stdin>',cls_monoid__add__class_Oadd__0__right_0) ).

fof(c_0_325_326,axiom,
    ! [X8,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),c_HOL_Ozero__class_Ozero(X3)) = X8 ),
    file('<stdin>',cls_comm__monoid__add_Omult__1__right_0) ).

fof(c_0_326_327,axiom,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),c_HOL_Ozero__class_Ozero(X3)) = X8 ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I6_J_0) ).

fof(c_0_327_328,axiom,
    ! [X12,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)) = X12 ),
    file('<stdin>',cls_minus__equation__iff_1) ).

fof(c_0_328_329,axiom,
    ! [X8,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | X8 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)) ),
    file('<stdin>',cls_equation__minus__iff_1) ).

fof(c_0_329_330,axiom,
    ! [X12,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | X12 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)) ),
    file('<stdin>',cls_equation__minus__iff_0) ).

fof(c_0_330_331,axiom,
    ! [X11,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11)) = X11 ),
    file('<stdin>',cls_double__compl_0) ).

fof(c_0_331_332,axiom,
    ! [X8,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)) = X8 ),
    file('<stdin>',cls_minus__minus_0) ).

fof(c_0_332_333,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X11) = X11 ),
    file('<stdin>',cls_mult__idem_0) ).

fof(c_0_333_334,axiom,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8) != c_HOL_Ozero__class_Ozero(X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_inverse__nonzero__iff__nonzero_0) ).

fof(c_0_334_335,axiom,
    ! [X8,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8) != c_HOL_Ozero__class_Ozero(X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_neg__equal__0__iff__equal_0) ).

fof(c_0_335_336,axiom,
    ! [X8,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ozero__class_Ozero(X3) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)
      | c_HOL_Ozero__class_Ozero(X3) = X8 ),
    file('<stdin>',cls_neg__0__equal__iff__equal_0) ).

fof(c_0_336_337,axiom,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8) != c_HOL_Ozero__class_Ozero(X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_inverse__zero__imp__zero_0) ).

fof(c_0_337_338,axiom,
    ! [X11,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),X11) != c_HOL_Ozero__class_Ozero(X3)
      | X11 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_of__real__eq__0__iff_0) ).

fof(c_0_338_339,axiom,
    ! [X11,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(c_RealVector_Onorm__class_Onorm(X3),X11) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X11 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_norm__eq__zero_0) ).

fof(c_0_339_340,axiom,
    ! [X41,X42,X43,X44] :
      ( c_Complex_Ocomplex_OComplex(X44,X42) != c_Complex_Ocomplex_OComplex(X43,X41)
      | X42 = X41 ),
    file('<stdin>',cls_complex_Oinject_1) ).

fof(c_0_340_341,axiom,
    ! [X41,X42,X43,X44] :
      ( c_Complex_Ocomplex_OComplex(X44,X42) != c_Complex_Ocomplex_OComplex(X43,X41)
      | X44 = X43 ),
    file('<stdin>',cls_complex_Oinject_0) ).

fof(c_0_341_342,axiom,
    ! [X8,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8) != X8
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_neg__equal__zero_0) ).

fof(c_0_342_343,axiom,
    ! [X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_inverse__nonzero__iff__nonzero_1) ).

fof(c_0_343_344,axiom,
    ! [X2,X3] :
      ( ~ class_SEQ_Ocomplete__space(X3)
      | c_SEQ_OCauchy(X2,X3)
      | ~ c_SEQ_Oconvergent(X2,X3) ),
    file('<stdin>',cls_Cauchy__convergent__iff_1) ).

fof(c_0_344_345,axiom,
    ! [X2,X3] :
      ( ~ class_SEQ_Ocomplete__space(X3)
      | c_SEQ_Oconvergent(X2,X3)
      | ~ c_SEQ_OCauchy(X2,X3) ),
    file('<stdin>',cls_Cauchy__convergent__iff_0) ).

fof(c_0_345_346,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OCauchy(X2,X3)
      | ~ c_SEQ_Oconvergent(X2,X3) ),
    file('<stdin>',cls_convergent__Cauchy_0) ).

fof(c_0_346_347,axiom,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_of__real_Ozero_0) ).

fof(c_0_347_348,axiom,
    ! [X26,X27] :
      ( hAPP(c_Suc,X27) != hAPP(c_Suc,X26)
      | X27 = X26 ),
    file('<stdin>',cls_nat_Oinject_0) ).

fof(c_0_348_349,axiom,
    ! [X19,X11] :
      ( hAPP(c_Suc,X11) != hAPP(c_Suc,X19)
      | X11 = X19 ),
    file('<stdin>',cls_Suc__inject_0) ).

fof(c_0_349_350,axiom,
    ! [X3] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_inverse__zero_0) ).

fof(c_0_350_351,axiom,
    ! [X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ozero__class_Ozero(X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_HOL_Ozero__class_Ozero(X3)) ),
    file('<stdin>',cls_neg__0__equal__iff__equal_1) ).

fof(c_0_351_352,axiom,
    ! [X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_minus__zero_0) ).

fof(c_0_352_353,axiom,
    ! [X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_neg__equal__zero_1) ).

fof(c_0_353_354,axiom,
    ! [X4,X5] :
      ( class_Lattices_Oboolean__algebra(tc_fun(X4,X5))
      | ~ class_Lattices_Oboolean__algebra(X5) ),
    file('<stdin>',clsarity_fun__Lattices_Oboolean__algebra) ).

fof(c_0_354_355,axiom,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(c_RealVector_Onorm__class_Onorm(X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__zero_0) ).

fof(c_0_355_356,axiom,
    ! [X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_of__real__0_0) ).

fof(c_0_356_357,axiom,
    ! [X2] :
      ( c_SEQ_Oconvergent(X2,tc_RealDef_Oreal)
      | ~ c_SEQ_OCauchy(X2,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__Cauchy__convergent_0) ).

fof(c_0_357_358,plain,
    ! [X19] :
      ( v_thesis____
      | ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X19,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_358_359,plain,
    ! [X18,X9,X8,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OLIMSEQ(X9,X8,X3)
      | ~ c_SEQ_OLIMSEQ(c_COMBB(X9,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),X18,tc_nat,tc_nat,tc_nat),tc_nat,X3,tc_nat),X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_359_360,plain,
    ! [X19,X6,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X14),X7,X14,tc_fun(X14,X14),X3),X19,X3,X14,X14),X8,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X14),X6),X19),X3,X14)
      | ~ c_Lim_OLIM(X7,X8,X6,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_360_361,plain,
    ! [X19,X15,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | c_Limits_Otendsto(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X14),X7,X14,tc_fun(X14,X14),X3),X19,X3,X14,X14),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X14),X8),X19),X15,X3,X14)
      | ~ c_Limits_Otendsto(X7,X8,X15,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_361_362,plain,
    ! [X11,X6,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X14),X7,tc_RealDef_Oreal,tc_fun(X14,X14),X3),X11,X3,X14,X14),X8,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X6),X11),X3,X14)
      | ~ c_Lim_OLIM(X7,X8,X6,X3,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_362_363,plain,
    ! [X11,X15,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Limits_Otendsto(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X14),X7,tc_RealDef_Oreal,tc_fun(X14,X14),X3),X11,X3,X14,X14),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X8),X11),X15,X3,X14)
      | ~ c_Limits_Otendsto(X7,X8,X15,X3,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_363_364,plain,
    ! [X19,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X14),X7,X14,tc_fun(X14,X14),X3),X19,X3,X14,X14),X8,c_HOL_Ozero__class_Ozero(X14),X3,X14)
      | ~ c_Lim_OLIM(X7,X8,c_HOL_Ozero__class_Ozero(X14),X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_364_365,plain,
    ! [X9,X24,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X14),X9,X14,tc_fun(X14,X14),X3),X24,X3,X14,X14),X8,c_HOL_Ozero__class_Ozero(X14),X3,X14)
      | ~ c_Lim_OLIM(X9,X8,c_HOL_Ozero__class_Ozero(X14),X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_365_366,plain,
    ! [X9,X24,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X14),X9,tc_RealDef_Oreal,tc_fun(X14,X14),X3),X24,X3,X14,X14),X8,c_HOL_Ozero__class_Ozero(X14),X3,X14)
      | ~ c_Lim_OLIM(X9,X8,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_366_367,plain,
    ! [X11,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X14),X7,tc_RealDef_Oreal,tc_fun(X14,X14),X3),X11,X3,X14,X14),X8,c_HOL_Ozero__class_Ozero(X14),X3,X14)
      | ~ c_Lim_OLIM(X7,X8,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_367_368,plain,
    ! [X19,X7,X25,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),c_Finite__Set_Osetsum(X7,X25,X14,X3)),X19) = c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X3),X7,X3,tc_fun(X3,X3),X14),X19,X14,X3,X3),X25,X14,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_368_369,plain,
    ! [X10,X9,X25,X14,X3] :
      ( ~ class_Ring__and__Field_Osemiring__0(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),c_Finite__Set_Osetsum(X9,X25,X14,X3)),X10) = c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X3),X9,X3,tc_fun(X3,X3),X14),X10,X14,X3,X3),X25,X14,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_369_370,plain,
    ! [X11,X7,X25,X14,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),c_Finite__Set_Osetsum(X7,X25,X14,tc_RealDef_Oreal)),X11) = c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3),X7,tc_RealDef_Oreal,tc_fun(X3,X3),X14),X11,X14,X3,X3),X25,X14,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_370_371,plain,
    ! [X19,X15,X7,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | c_Limits_OZfun(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X14),X7,X14,tc_fun(X14,X14),X3),X19,X3,X14,X14),X15,X3,X14)
      | ~ c_Limits_OZfun(X7,X15,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_371_372,plain,
    ! [X15,X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | c_Limits_OZfun(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X14),X9,X14,tc_fun(X14,X14),X3),X8,X3,X14,X14),X15,X3,X14)
      | ~ c_Limits_OZfun(X9,X15,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_372_373,plain,
    ! [X11,X15,X7,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Limits_OZfun(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X14),X7,tc_RealDef_Oreal,tc_fun(X14,X14),X3),X11,X3,X14,X14),X15,X3,X14)
      | ~ c_Limits_OZfun(X7,X15,X3,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_373_374,plain,
    ! [X15,X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Limits_OZfun(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X14),X9,tc_RealDef_Oreal,tc_fun(X14,X14),X3),X8,X3,X14,X14),X15,X3,X14)
      | ~ c_Limits_OZfun(X9,X15,X3,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_374_375,plain,
    ! [X6,X7,X9,X8,X13,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X14)
      | ~ class_RealVector_Ometric__space(X13)
      | c_Lim_OLIM(c_COMBB(X7,X9,X3,X14,X13),X8,hAPP(X7,X6),X13,X14)
      | ~ c_Lim_OLIM(X9,X8,X6,X13,X3)
      | ~ c_Lim_OLIM(X7,X6,hAPP(X7,X6),X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_375_376,plain,
    ! [X18,X9,X8,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(X9,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),X18,tc_nat,tc_nat,tc_nat),tc_nat,X3,tc_nat),X8,X3)
      | ~ c_SEQ_OLIMSEQ(X9,X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_376_377,plain,
    ! [X18,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osummable(c_COMBB(X9,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),X18,tc_nat,tc_nat,tc_nat),tc_nat,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_377_378,plain,
    ! [X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Ometric__space(X14)
      | c_Lim_OLIM(X9,X8,hAPP(X9,X8),X3,X14)
      | ~ c_Lim_OLIM(c_COMBB(X9,hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X3,X14,X3),c_HOL_Ozero__class_Ozero(X3),hAPP(X9,X8),X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_378_379,plain,
    ! [X9,X8,X17,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X14)
      | ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Lim_OLIM(X9,X8,X17,X3,X14)
      | ~ c_Lim_OLIM(c_COMBB(X9,hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X3,X14,X3),c_HOL_Ozero__class_Ozero(X3),X17,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_379_380,plain,
    ! [X15,X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Limits_Otendsto(X9,X8,X15,X3,X14)
      | ~ c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X14),X9,X14,X14,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X14),X8),X15,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_380_381,plain,
    ! [X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(X9,X8,c_HOL_Ozero__class_Ozero(X14),X3,X14)
      | ~ c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X14),X9,X14,tc_RealDef_Oreal,X3),X8,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_381_382,plain,
    ! [X11,X9,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Ometric__space(X14)
      | c_Lim_OisCont(X9,X11,X3,X14)
      | ~ c_Lim_OLIM(c_COMBB(X9,hAPP(c_HOL_Oplus__class_Oplus(X3),X11),X3,X14,X3),c_HOL_Ozero__class_Ozero(X3),hAPP(X9,X11),X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_382_383,plain,
    ! [X6,X7,X9,X8,X13,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X14)
      | ~ class_RealVector_Ometric__space(X13)
      | c_Lim_OLIM(c_COMBB(X7,X9,X3,X14,X13),X8,hAPP(X7,X6),X13,X14)
      | ~ c_Lim_OLIM(X9,X8,X6,X13,X3)
      | ~ c_Lim_OisCont(X7,X6,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_383_384,plain,
    ! [X11,X6,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X14),X11),X7,X14,X14,X3),X8,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X14),X11),X6),X3,X14)
      | ~ c_Lim_OLIM(X7,X8,X6,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_384_385,plain,
    ! [X10,X6,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X10),X7,X14,X14,X3),X8,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X10),X6),X3,X14)
      | ~ c_Lim_OLIM(X7,X8,X6,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_385_386,plain,
    ! [X11,X15,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | c_Limits_Otendsto(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X14),X11),X7,X14,X14,X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X14),X11),X8),X15,X3,X14)
      | ~ c_Limits_Otendsto(X7,X8,X15,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_386_387,plain,
    ! [X10,X15,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Limits_Otendsto(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X10),X7,X14,X14,X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X10),X8),X15,X3,X14)
      | ~ c_Limits_Otendsto(X7,X8,X15,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_387_388,plain,
    ! [X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Ometric__space(X14)
      | c_Lim_OLIM(c_COMBB(X9,hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X3,X14,X3),c_HOL_Ozero__class_Ozero(X3),hAPP(X9,X8),X3,X14)
      | ~ c_Lim_OLIM(X9,X8,hAPP(X9,X8),X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_388_389,plain,
    ! [X6,X7,X9,X8,X13,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Ometric__space(X13)
      | c_Lim_OLIM(c_COMBB(X9,X7,X3,X14,X13),X8,hAPP(X9,X6),X13,X14)
      | ~ c_Lim_OLIM(X7,X8,X6,X13,X3)
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_389_390,plain,
    ! [X15,X7,X9,X8,X13,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Limits_Otendsto(c_COMBB(X9,X7,X3,X14,X13),hAPP(X9,X8),X15,X13,X14)
      | ~ c_Limits_Otendsto(X7,X8,X15,X13,X3)
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_390_391,plain,
    ! [X7,X9,X8,X13,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Ometric__space(X13)
      | c_Lim_OLIM(c_COMBB(X9,X7,X3,X14,X13),X8,c_HOL_Ozero__class_Ozero(X14),X13,X14)
      | ~ c_Lim_OLIM(X7,X8,c_HOL_Ozero__class_Ozero(X3),X13,X3)
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_391_392,plain,
    ! [X11,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X14),X11),X7,X14,X14,X3),X8,c_HOL_Ozero__class_Ozero(X14),X3,X14)
      | ~ c_Lim_OLIM(X7,X8,c_HOL_Ozero__class_Ozero(X14),X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_392_393,plain,
    ! [X9,X24,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X14),X24),X9,X14,X14,X3),X8,c_HOL_Ozero__class_Ozero(X14),X3,X14)
      | ~ c_Lim_OLIM(X9,X8,c_HOL_Ozero__class_Ozero(X14),X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_393_394,plain,
    ! [X9,X24,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X24),X9,X14,X14,X3),X8,c_HOL_Ozero__class_Ozero(X14),X3,X14)
      | ~ c_Lim_OLIM(X9,X8,c_HOL_Ozero__class_Ozero(X14),X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_394_395,plain,
    ! [X10,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X10),X7,X14,X14,X3),X8,c_HOL_Ozero__class_Ozero(X14),X3,X14)
      | ~ c_Lim_OLIM(X7,X8,c_HOL_Ozero__class_Ozero(X14),X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_395_396,plain,
    ! [X9,X8,X17,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X14)
      | ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Lim_OLIM(c_COMBB(X9,hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X3,X14,X3),c_HOL_Ozero__class_Ozero(X3),X17,X3,X14)
      | ~ c_Lim_OLIM(X9,X8,X17,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_396_397,plain,
    ! [X9,X8,X17,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_HOL_Oinverse__class_Oinverse(X14),X9,X14,X14,X3),X8,hAPP(c_HOL_Oinverse__class_Oinverse(X14),X17),X3,X14)
      | X17 = c_HOL_Ozero__class_Ozero(X14)
      | ~ c_Lim_OLIM(X9,X8,X17,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_397_398,plain,
    ! [X6,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Oreal__algebra__1(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X14),X7,tc_RealDef_Oreal,X14,X3),X8,hAPP(c_RealVector_Oof__real(X14),X6),X3,X14)
      | ~ c_Lim_OLIM(X7,X8,X6,X3,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_398_399,plain,
    ! [X9,X8,X17,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_HOL_Ouminus__class_Ouminus(X14),X9,X14,X14,X3),X8,hAPP(c_HOL_Ouminus__class_Ouminus(X14),X17),X3,X14)
      | ~ c_Lim_OLIM(X9,X8,X17,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_399_400,plain,
    ! [X15,X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X14)
      | c_Limits_Otendsto(c_COMBB(c_HOL_Oinverse__class_Oinverse(X14),X9,X14,X14,X3),hAPP(c_HOL_Oinverse__class_Oinverse(X14),X8),X15,X3,X14)
      | X8 = c_HOL_Ozero__class_Ozero(X14)
      | ~ c_Limits_Otendsto(X9,X8,X15,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_400_401,plain,
    ! [X6,X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X14),X9,X14,tc_RealDef_Oreal,X3),X8,hAPP(c_RealVector_Onorm__class_Onorm(X14),X6),X3,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X9,X8,X6,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_401_402,plain,
    ! [X15,X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Oreal__algebra__1(X14)
      | c_Limits_Otendsto(c_COMBB(c_RealVector_Oof__real(X14),X7,tc_RealDef_Oreal,X14,X3),hAPP(c_RealVector_Oof__real(X14),X8),X15,X3,X14)
      | ~ c_Limits_Otendsto(X7,X8,X15,X3,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_402_403,plain,
    ! [X15,X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X14),X9,X14,X14,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X14),X8),X15,X3,X14)
      | ~ c_Limits_Otendsto(X9,X8,X15,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_403_404,plain,
    ! [X15,X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Limits_Otendsto(c_COMBB(c_RealVector_Onorm__class_Onorm(X14),X9,X14,tc_RealDef_Oreal,X3),hAPP(c_RealVector_Onorm__class_Onorm(X14),X8),X15,X3,tc_RealDef_Oreal)
      | ~ c_Limits_Otendsto(X9,X8,X15,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_404_405,plain,
    ! [X7,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Oreal__algebra__1(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X14),X7,tc_RealDef_Oreal,X14,X3),X8,c_HOL_Ozero__class_Ozero(X14),X3,X14)
      | ~ c_Lim_OLIM(X7,X8,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_405_406,plain,
    ! [X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X14),X9,X14,tc_RealDef_Oreal,X3),X8,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X9,X8,c_HOL_Ozero__class_Ozero(X14),X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_406_407,plain,
    ! [X6,X7,X8,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_Complex_ORe,X7,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X8,hAPP(c_Complex_ORe,X6),X3,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X7,X8,X6,X3,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_407_408,plain,
    ! [X6,X7,X8,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_Complex_OIm,X7,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X8,hAPP(c_Complex_OIm,X6),X3,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X7,X8,X6,X3,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_408_409,plain,
    ! [X15,X7,X8,X3] :
      ( c_Limits_Otendsto(c_COMBB(c_Complex_ORe,X7,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),hAPP(c_Complex_ORe,X8),X15,X3,tc_RealDef_Oreal)
      | ~ c_Limits_Otendsto(X7,X8,X15,X3,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_409_410,plain,
    ! [X15,X7,X8,X3] :
      ( c_Limits_Otendsto(c_COMBB(c_Complex_OIm,X7,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),hAPP(c_Complex_OIm,X8),X15,X3,tc_RealDef_Oreal)
      | ~ c_Limits_Otendsto(X7,X8,X15,X3,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_410_411,plain,
    ! [X8,X2,X16,X17,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(X2,X16,X3,X14,tc_nat),X17,X14)
      | ~ c_SEQ_OLIMSEQ(X16,X8,X3)
      | hAPP(X16,c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1(X16,X8,X3)) = X8
      | ~ c_Lim_OLIM(X2,X8,X17,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_411_412,plain,
    ! [X15,X9,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Limits_OZfun(X9,X15,X3,X14)
      | ~ c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X14),X9,X14,tc_RealDef_Oreal,X3),X15,X3,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_412_413,plain,
    ! [X11,X9,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Ometric__space(X14)
      | c_Lim_OLIM(c_COMBB(X9,hAPP(c_HOL_Oplus__class_Oplus(X3),X11),X3,X14,X3),c_HOL_Ozero__class_Ozero(X3),hAPP(X9,X11),X3,X14)
      | ~ c_Lim_OisCont(X9,X11,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_413_414,plain,
    ! [X8,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(X2,X8,X3)
      | ~ c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_414_415,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X2,X3,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_415_416,plain,
    ! [X6,X9,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OLIMSEQ(X9,X6,X3)
      | ~ c_SEQ_OLIMSEQ(c_COMBB(X9,c_Suc,tc_nat,X3,tc_nat),X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_416_417,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_Oconvergent(X2,X3)
      | ~ c_SEQ_Oconvergent(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_417_418,plain,
    ! [X9,X3] :
      ( ~ class_SEQ_Obanach(X3)
      | c_Series_Osummable(X9,X3)
      | ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X9,X3,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_418_419,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OZseq(X2,X3)
      | ~ c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X2,X3,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_419_420,plain,
    ! [X9,X8,X45,X17,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X14)
      | ~ class_RealVector_Oreal__normed__algebra__1(X3)
      | X17 = X45
      | ~ c_Lim_OLIM(X9,X8,X45,X3,X14)
      | ~ c_Lim_OLIM(X9,X8,X17,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_420_421,plain,
    ! [X19,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Lim_OLIM(c_COMBC(c_HOL_Otimes__class_Otimes(X3),X19,X3,X3,X3),X8,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X19),X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_421_422,plain,
    ! [X7,X9,X8,X13,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X13)
      | ~ class_RealVector_Ometric__space(X14)
      | c_Lim_OisCont(c_COMBB(X7,X9,X14,X13,X3),X8,X3,X13)
      | ~ c_Lim_OisCont(X7,hAPP(X9,X8),X14,X13)
      | ~ c_Lim_OisCont(X9,X8,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_422_423,plain,
    ! [X11,X7,X25,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),c_Finite__Set_Osetsum(X7,X25,X14,X3)) = c_Finite__Set_Osetsum(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X7,X3,X3,X14),X25,X14,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_423_424,plain,
    ! [X10,X9,X25,X14,X3] :
      ( ~ class_Ring__and__Field_Osemiring__0(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X10),c_Finite__Set_Osetsum(X9,X25,X14,X3)) = c_Finite__Set_Osetsum(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X10),X9,X3,X3,X14),X25,X14,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_424_425,plain,
    ! [X7,X8,X25,X14,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),c_Finite__Set_Osetsum(X7,X25,X14,X3)) = c_Finite__Set_Osetsum(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X7,X3,X3,X14),X25,X14,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_425_426,plain,
    ! [X7,X25,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),c_Finite__Set_Osetsum(X7,X25,X14,tc_RealDef_Oreal)) = c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Oof__real(X3),X7,tc_RealDef_Oreal,X3,X14),X25,X14,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_426_427,plain,
    ! [X9,X25,X14,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X9,X3,X3,X14),X25,X14,X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Finite__Set_Osetsum(X9,X25,X14,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_427_428,plain,
    ! [X15,X7,X9,X13,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Limits_OZfun(c_COMBB(X9,X7,X3,X14,X13),X15,X13,X14)
      | ~ c_Limits_OZfun(X7,X15,X13,X3)
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_428_429,plain,
    ! [X10,X15,X7,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Limits_OZfun(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X10),X7,X14,X14,X3),X15,X3,X14)
      | ~ c_Limits_OZfun(X7,X15,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_429_430,plain,
    ! [X15,X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Limits_OZfun(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X8),X9,X14,X14,X3),X15,X3,X14)
      | ~ c_Limits_OZfun(X9,X15,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_430_431,plain,
    ! [X15,X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | c_Limits_OZfun(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X14),X8),X9,X14,X14,X3),X15,X3,X14)
      | ~ c_Limits_OZfun(X9,X15,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_431_432,plain,
    ! [X11,X15,X7,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | c_Limits_OZfun(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X14),X11),X7,X14,X14,X3),X15,X3,X14)
      | ~ c_Limits_OZfun(X7,X15,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_432_433,plain,
    ! [X9,X8,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Oreal__normed__div__algebra(X14)
      | c_Lim_OisCont(c_COMBB(c_HOL_Oinverse__class_Oinverse(X14),X9,X14,X14,X3),X8,X3,X14)
      | hAPP(X9,X8) = c_HOL_Ozero__class_Ozero(X14)
      | ~ c_Lim_OisCont(X9,X8,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_433_434,plain,
    ! [X9,X8,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Lim_OisCont(c_COMBB(c_HOL_Ouminus__class_Ouminus(X14),X9,X14,X14,X3),X8,X3,X14)
      | ~ c_Lim_OisCont(X9,X8,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_434_435,plain,
    ! [X9,X8,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Lim_OisCont(c_COMBB(c_RealVector_Onorm__class_Onorm(X14),X9,X14,tc_RealDef_Oreal,X3),X8,X3,tc_RealDef_Oreal)
      | ~ c_Lim_OisCont(X9,X8,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_435_436,plain,
    ! [X15,X7,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Oreal__algebra__1(X14)
      | c_Limits_OZfun(c_COMBB(c_RealVector_Oof__real(X14),X7,tc_RealDef_Oreal,X14,X3),X15,X3,X14)
      | ~ c_Limits_OZfun(X7,X15,X3,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_436_437,plain,
    ! [X9,X8,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Oreal__normed__algebra__1(X14)
      | c_Lim_OisCont(c_COMBB(c_RealVector_Oof__real(X14),X9,tc_RealDef_Oreal,X14,X3),X8,X3,X14)
      | ~ c_Lim_OisCont(X9,X8,X3,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_437_438,plain,
    ! [X15,X9,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Limits_OZfun(c_COMBB(c_HOL_Ouminus__class_Ouminus(X14),X9,X14,X14,X3),X15,X3,X14)
      | ~ c_Limits_OZfun(X9,X15,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_438_439,plain,
    ! [X15,X9,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X14),X9,X14,tc_RealDef_Oreal,X3),X15,X3,tc_RealDef_Oreal)
      | ~ c_Limits_OZfun(X9,X15,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_439_440,plain,
    ! [X15,X7,X3] :
      ( c_Limits_OZfun(c_COMBB(c_Complex_ORe,X7,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X15,X3,tc_RealDef_Oreal)
      | ~ c_Limits_OZfun(X7,X15,X3,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_440_441,plain,
    ! [X15,X7,X3] :
      ( c_Limits_OZfun(c_COMBB(c_Complex_OIm,X7,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X15,X3,tc_RealDef_Oreal)
      | ~ c_Limits_OZfun(X7,X15,X3,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_441_442,plain,
    ! [X10,X8,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osums(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X2,X3,X3,tc_nat),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X8),X3)
      | ~ c_Series_Osums(X2,X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_442_443,plain,
    ! [X11,X8,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X2,X3,X3,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X8),X3)
      | ~ c_Series_Osums(X2,X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_443_444,plain,
    ! [X9,X24,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X24),X9,X3,X3,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X24),X8),X3)
      | ~ c_Series_Osums(X9,X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_444_445,plain,
    ! [X11,X8,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X2,X3,X3,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X8),X3)
      | ~ c_SEQ_OLIMSEQ(X2,X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_445_446,plain,
    ! [X10,X8,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X2,X3,X3,tc_nat),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X8),X3)
      | ~ c_SEQ_OLIMSEQ(X2,X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_446_447,plain,
    ! [X11,X7,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__field(X3)
      | c_Deriv_Odifferentiable(c_COMBB(X9,X7,X3,X3,X3),X11,X3)
      | ~ c_Deriv_Odifferentiable(X7,X11,X3)
      | ~ c_Deriv_Odifferentiable(X9,hAPP(X7,X11),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_447_448,plain,
    ! [X19,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Lim_OisCont(c_COMBC(c_HOL_Otimes__class_Otimes(X3),X19,X3,X3,X3),X8,X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_448_449,plain,
    ! [X9,X8,X2,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Series_Osums(c_COMBB(X9,X2,X3,X14,tc_nat),hAPP(X9,X8),X14)
      | ~ c_Series_Osums(X2,X8,X3)
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_449_450,plain,
    ! [X9,X8,X2,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X14)
      | c_SEQ_OLIMSEQ(c_COMBB(X9,X2,X3,X14,tc_nat),hAPP(X9,X8),X14)
      | ~ c_SEQ_OLIMSEQ(X2,X8,X3)
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_450_451,plain,
    ! [X8,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Oinverse__class_Oinverse(X3),X2,X3,X3,tc_nat),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8),X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_SEQ_OLIMSEQ(X2,X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_451_452,plain,
    ! [X8,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_Series_Osums(c_COMBB(c_RealVector_Oof__real(X3),X2,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X8),X3)
      | ~ c_Series_Osums(X2,X8,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_452_453,plain,
    ! [X8,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Oof__real(X3),X2,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X8),X3)
      | ~ c_SEQ_OLIMSEQ(X2,X8,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_453_454,plain,
    ! [X8,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osums(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8),X3)
      | ~ c_Series_Osums(X2,X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_454_455,plain,
    ! [X8,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8),X3)
      | ~ c_SEQ_OLIMSEQ(X2,X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_455_456,plain,
    ! [X10,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),c_Series_Osuminf(X2,X3)) = c_Series_Osuminf(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X2,X3,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_456_457,plain,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),c_Series_Osuminf(X2,X3)) = c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X2,X3,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_457_458,plain,
    ! [X9,X24,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X24),X9,X3,X3,tc_nat),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X24),c_Series_Osuminf(X9,X3))
      | ~ c_Series_Osummable(X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_458_459,plain,
    ! [X8,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X2,X3,tc_RealDef_Oreal,tc_nat),hAPP(c_RealVector_Onorm__class_Onorm(X3),X8),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X2,X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_459_460,plain,
    ! [X11,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__field(X3)
      | c_Deriv_Odifferentiable(c_COMBB(c_HOL_Oinverse__class_Oinverse(X3),X9,X3,X3,X3),X11,X3)
      | hAPP(X9,X11) = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_Deriv_Odifferentiable(X9,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_460_461,plain,
    ! [X9,X2,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X14)
      | hAPP(X9,c_Series_Osuminf(X2,X3)) = c_Series_Osuminf(c_COMBB(X9,X2,X3,X14,tc_nat),X14)
      | ~ c_Series_Osummable(X2,X3)
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_461_462,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X2,X3,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_462_463,plain,
    ! [X11,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__field(X3)
      | c_Deriv_Odifferentiable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X9,X3,X3,X3),X11,X3)
      | ~ c_Deriv_Odifferentiable(X9,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_463_464,plain,
    ! [X8,X2] :
      ( c_Series_Osums(c_COMBB(c_Complex_ORe,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X8),tc_RealDef_Oreal)
      | ~ c_Series_Osums(X2,X8,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_464_465,plain,
    ! [X8,X2] :
      ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X8),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X2,X8,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_465_466,plain,
    ! [X8,X2] :
      ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_ORe,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X8),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X2,X8,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_466_467,plain,
    ! [X8,X2] :
      ( c_Series_Osums(c_COMBB(c_Complex_OIm,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X8),tc_RealDef_Oreal)
      | ~ c_Series_Osums(X2,X8,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_467_468,plain,
    ! [X6,X9,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(X9,c_Suc,tc_nat,X3,tc_nat),X6,X3)
      | ~ c_SEQ_OLIMSEQ(X9,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_468_469,plain,
    ! [X9,X2,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X14)
      | c_SEQ_OZseq(c_COMBB(X9,X2,X3,X14,tc_nat),X14)
      | ~ c_SEQ_OZseq(X2,X3)
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_469_470,plain,
    ! [X9,X2,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Series_Osummable(c_COMBB(X9,X2,X3,X14,tc_nat),X14)
      | ~ c_Series_Osummable(X2,X3)
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_470_471,plain,
    ! [X9,X2,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X14)
      | c_SEQ_OCauchy(c_COMBB(X9,X2,X3,X14,tc_nat),X14)
      | ~ c_SEQ_OCauchy(X2,X3)
      | ~ c_Lim_OisUCont(X9,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_471_472,plain,
    ! [X9,X2,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X14)
      | c_SEQ_OCauchy(c_COMBB(X9,X2,X3,X14,tc_nat),X14)
      | ~ c_SEQ_OCauchy(X2,X3)
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_472_473,plain,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_SEQ_OCauchy(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OCauchy(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_473_474,plain,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_SEQ_OZseq(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OZseq(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_474_475,plain,
    ! [X8,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_SEQ_OZseq(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OZseq(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_475_476,plain,
    ! [X10,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osummable(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X2,X3,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_476_477,plain,
    ! [X9,X24,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Series_Osummable(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X24),X9,X3,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_477_478,plain,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Series_Osummable(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X2,X3,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_478_479,plain,
    ! [X10,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OZseq(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OZseq(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_479_480,plain,
    ! [X8,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OZseq(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OZseq(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_480_481,plain,
    ! [X10,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OCauchy(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OCauchy(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_481_482,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osuminf(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Series_Osuminf(X2,X3))
      | ~ c_Series_Osummable(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_482_483,plain,
    ! [X7,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_Olim(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X7,X3,X3,tc_nat),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_SEQ_Olim(X7,X3))
      | ~ c_SEQ_Oconvergent(X7,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_125]) ).

fof(c_0_483_484,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),c_Series_Osuminf(X2,tc_RealDef_Oreal)) = c_Series_Osuminf(c_COMBB(c_RealVector_Oof__real(X3),X2,tc_RealDef_Oreal,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_126]) ).

fof(c_0_484_485,plain,
    ! [X12,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_RealVector_Obounded__linear(c_COMBC(c_HOL_Otimes__class_Otimes(X3),X12,X3,X3,X3),X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_127]) ).

fof(c_0_485_486,plain,
    ! [X19,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Lim_OisUCont(c_COMBC(c_HOL_Otimes__class_Otimes(X3),X19,X3,X3,X3),X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_486_487,plain,
    ! [X2] :
      ( hAPP(c_Complex_ORe,c_Series_Osuminf(X2,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(c_Complex_ORe,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(X2,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_129]) ).

fof(c_0_487_488,plain,
    ! [X2] :
      ( hAPP(c_Complex_OIm,c_Series_Osuminf(X2,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(c_Complex_OIm,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(X2,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_130]) ).

fof(c_0_488_489,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_SEQ_OCauchy(c_COMBB(c_RealVector_Oof__real(X3),X2,tc_RealDef_Oreal,X3,tc_nat),X3)
      | ~ c_SEQ_OCauchy(X2,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_489_490,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_Series_Osummable(c_COMBB(c_RealVector_Oof__real(X3),X2,tc_RealDef_Oreal,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_132]) ).

fof(c_0_490_491,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_SEQ_OZseq(c_COMBB(c_RealVector_Oof__real(X3),X2,tc_RealDef_Oreal,X3,tc_nat),X3)
      | ~ c_SEQ_OZseq(X2,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_491_492,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OZseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OZseq(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_134]) ).

fof(c_0_492_493,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osummable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_493_494,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_Oconvergent(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_Oconvergent(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_136]) ).

fof(c_0_494_495,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X2,X3,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OZseq(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_137]) ).

fof(c_0_495_496,plain,
    ! [X2] :
      ( c_SEQ_OCauchy(c_COMBB(c_Complex_ORe,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OCauchy(X2,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_496_497,plain,
    ! [X2] :
      ( c_SEQ_OZseq(c_COMBB(c_Complex_ORe,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OZseq(X2,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_139]) ).

fof(c_0_497_498,plain,
    ! [X2] :
      ( c_Series_Osummable(c_COMBB(c_Complex_ORe,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(X2,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_140]) ).

fof(c_0_498_499,plain,
    ! [X2] :
      ( c_SEQ_OZseq(c_COMBB(c_Complex_OIm,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OZseq(X2,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_141]) ).

fof(c_0_499_500,plain,
    ! [X2] :
      ( c_SEQ_OCauchy(c_COMBB(c_Complex_OIm,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OCauchy(X2,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_142]) ).

fof(c_0_500_501,plain,
    ! [X2] :
      ( c_Series_Osummable(c_COMBB(c_Complex_OIm,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(X2,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_143]) ).

fof(c_0_501_502,plain,
    ! [X9,X8,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X14)
      | c_Lim_OisCont(X9,X8,X3,X14)
      | ~ c_Lim_OLIM(X9,X8,hAPP(X9,X8),X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_144]) ).

fof(c_0_502_503,plain,
    ! [X18,X8,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_HOL_Ozero(X3)
      | ~ class_RealVector_Oreal__normed__algebra__1(X14)
      | ~ c_Lim_OLIM(c_COMBK(X18,X3,X14),X8,c_HOL_Ozero__class_Ozero(X3),X14,X3)
      | X18 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_145]) ).

fof(c_0_503_504,plain,
    ! [X18,X8,X17,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Oreal__normed__algebra__1(X14)
      | ~ c_Lim_OLIM(c_COMBK(X18,X3,X14),X8,X17,X14,X3)
      | X18 = X17 ),
    inference(fof_simplification,[status(thm)],[c_0_146]) ).

fof(c_0_504_505,plain,
    ! [X18,X8,X17,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X14)
      | ~ class_RealVector_Oreal__normed__algebra__1(X3)
      | X18 = X17
      | ~ c_Lim_OLIM(c_COMBK(X18,X14,X3),X8,X17,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_147]) ).

fof(c_0_505_506,plain,
    ! [X32,X24,X12,X8,X3] :
      ( ~ class_Ring__and__Field_Osemiring(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X32)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X12),X32)),X24)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12)),X32)),X24) ),
    inference(fof_simplification,[status(thm)],[c_0_148]) ).

fof(c_0_506_507,plain,
    ! [X9,X8,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X14)
      | c_Lim_OLIM(X9,X8,hAPP(X9,X8),X3,X14)
      | ~ c_Lim_OisCont(X9,X8,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_149]) ).

fof(c_0_507_508,plain,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8)),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X12)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12)),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8))),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X12))
      | X12 = c_HOL_Ozero__class_Ozero(X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_150]) ).

fof(c_0_508_509,plain,
    ! [X11,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Lim_OLIM(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X8,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X8),X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_151]) ).

fof(c_0_509_510,plain,
    ! [X10,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Lim_OLIM(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X8,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X8),X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_152]) ).

fof(c_0_510_511,plain,
    ! [X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Lim_OLIM(X9,X8,hAPP(X9,X8),X3,X14)
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_153]) ).

fof(c_0_511_512,plain,
    ! [X11,X18,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X14)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBK(X18,X14,X3),X11,X18,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_154]) ).

fof(c_0_512_513,plain,
    ! [X15,X18,X14,X3] :
      ( ~ class_RealVector_Otopological__space(X14)
      | c_Limits_Otendsto(c_COMBK(X18,X14,X3),X18,X15,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_155]) ).

fof(c_0_513_514,plain,
    ! [X8,X3] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X3)
      | c_Lim_OLIM(c_HOL_Oinverse__class_Oinverse(X3),X8,hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8),X3,X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_156]) ).

fof(c_0_514_515,plain,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8)),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X12)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12))),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X12))
      | X12 = c_HOL_Ozero__class_Ozero(X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_157]) ).

fof(c_0_515_516,plain,
    ! [X23,X24,X12,X8,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X24)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X12),X23)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X23)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X12),X24))
      | X24 = X23
      | X8 = X12 ),
    inference(fof_simplification,[status(thm)],[c_0_158]) ).

fof(c_0_516_517,plain,
    ! [X21,X19,X11,X22,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X22),X19)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X21)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X22),X21)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X19))
      | X19 = X21
      | X22 = X11 ),
    inference(fof_simplification,[status(thm)],[c_0_159]) ).

fof(c_0_517_518,plain,
    ! [X37,X38,X40,X39,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),X40)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X38),X37)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X38),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),X40)),X37)) ),
    inference(fof_simplification,[status(thm)],[c_0_160]) ).

fof(c_0_518_519,plain,
    ! [X21,X19,X11,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X19)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X21)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X21)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X19)) ),
    inference(fof_simplification,[status(thm)],[c_0_161]) ).

fof(c_0_519_520,plain,
    ! [X11,X23,X24,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X24)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X23)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X23)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X24)) ),
    inference(fof_simplification,[status(thm)],[c_0_162]) ).

fof(c_0_520_521,plain,
    ! [X37,X38,X40,X39,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),X40)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X38),X37)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X40),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X38),X37))) ),
    inference(fof_simplification,[status(thm)],[c_0_163]) ).

fof(c_0_521_522,plain,
    ! [X37,X38,X40,X39,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),X40)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X38),X37)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),X38)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X40),X37)) ),
    inference(fof_simplification,[status(thm)],[c_0_164]) ).

fof(c_0_522_523,plain,
    ! [X23,X24,X12,X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X24),X23)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X24)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X12),X23)) ),
    inference(fof_simplification,[status(thm)],[c_0_165]) ).

fof(c_0_523_524,plain,
    ! [X24,X12,X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12)),X24) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X24)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X12),X24)) ),
    inference(fof_simplification,[status(thm)],[c_0_166]) ).

fof(c_0_524_525,plain,
    ! [X36,X19,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),X19)),X36) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X36)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X19),X36)) ),
    inference(fof_simplification,[status(thm)],[c_0_167]) ).

fof(c_0_525_526,plain,
    ! [X12,X35,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X35)),X12) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X35),X12)) ),
    inference(fof_simplification,[status(thm)],[c_0_168]) ).

fof(c_0_526_527,plain,
    ! [X24,X12,X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12)),X24) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X24)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X12),X24)) ),
    inference(fof_simplification,[status(thm)],[c_0_169]) ).

fof(c_0_527_528,plain,
    ! [X34,X12,X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X34)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X12),X34)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12)),X34) ),
    inference(fof_simplification,[status(thm)],[c_0_170]) ).

fof(c_0_528_529,plain,
    ! [X19,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X11)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X19),X19)) != c_HOL_Ozero__class_Ozero(X3)
      | X11 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_171]) ).

fof(c_0_529_530,plain,
    ! [X19,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X11)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X19),X19)) != c_HOL_Ozero__class_Ozero(X3)
      | X19 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_172]) ).

fof(c_0_530_531,plain,
    ! [X38,X40,X39,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),X40)),X38) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),X38)),X40) ),
    inference(fof_simplification,[status(thm)],[c_0_173]) ).

fof(c_0_531_532,plain,
    ! [X19,X30,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X30),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),X19)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X30),X11)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X30),X19)) ),
    inference(fof_simplification,[status(thm)],[c_0_174]) ).

fof(c_0_532_533,plain,
    ! [X31,X12,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X12),X31)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X31)) ),
    inference(fof_simplification,[status(thm)],[c_0_175]) ).

fof(c_0_533_534,plain,
    ! [X21,X19,X11,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X19),X21)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X19)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X21)) ),
    inference(fof_simplification,[status(thm)],[c_0_176]) ).

fof(c_0_534_535,plain,
    ! [X24,X12,X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12)),X24) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X24)),X12) ),
    inference(fof_simplification,[status(thm)],[c_0_177]) ).

fof(c_0_535_536,plain,
    ! [X19,X11,X8,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),X19)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X11)),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X19)) ),
    inference(fof_simplification,[status(thm)],[c_0_178]) ).

fof(c_0_536_537,plain,
    ! [X31,X12,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X12),X31)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X12)),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X31)) ),
    inference(fof_simplification,[status(thm)],[c_0_179]) ).

fof(c_0_537_538,plain,
    ! [X11,X10,X23,X24,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X10),X24)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X10),X23))
      | X24 = X23
      | X10 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_180]) ).

fof(c_0_538_539,plain,
    ! [X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),c_HOL_Ozero__class_Ozero(X3)),c_HOL_Ozero__class_Ozero(X3))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),c_HOL_Ozero__class_Ozero(X3)),c_HOL_Ozero__class_Ozero(X3))) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_181]) ).

fof(c_0_539_540,plain,
    ! [X24,X12,X8,X3] :
      ( ~ class_OrderedGroup_Oab__semigroup__mult(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12)),X24) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X12),X24)) ),
    inference(fof_simplification,[status(thm)],[c_0_182]) ).

fof(c_0_540_541,plain,
    ! [X38,X40,X39,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),X40)),X38) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X40),X38)) ),
    inference(fof_simplification,[status(thm)],[c_0_183]) ).

fof(c_0_541_542,plain,
    ! [X37,X38,X39,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X38),X37)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),X38)),X37) ),
    inference(fof_simplification,[status(thm)],[c_0_184]) ).

fof(c_0_542_543,plain,
    ! [X21,X19,X11,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X19),X21)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X19)),X21) ),
    inference(fof_simplification,[status(thm)],[c_0_185]) ).

fof(c_0_543_544,plain,
    ! [X10,X12,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X8)),X12) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12)) ),
    inference(fof_simplification,[status(thm)],[c_0_186]) ).

fof(c_0_544_545,plain,
    ! [X19,X11,X10,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X11)),X19) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X19)) ),
    inference(fof_simplification,[status(thm)],[c_0_187]) ).

fof(c_0_545_546,plain,
    ! [X24,X12,X8,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12)),X24) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X12),X24)) ),
    inference(fof_simplification,[status(thm)],[c_0_188]) ).

fof(c_0_546_547,plain,
    ! [X21,X19,X11,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X19),X21)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),X19)),X21) ),
    inference(fof_simplification,[status(thm)],[c_0_189]) ).

fof(c_0_547_548,plain,
    ! [X24,X12,X8,X3] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12)),X24) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X12),X24)) ),
    inference(fof_simplification,[status(thm)],[c_0_190]) ).

fof(c_0_548_549,plain,
    ! [X23,X24,X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X24),X23)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X24)),X23) ),
    inference(fof_simplification,[status(thm)],[c_0_191]) ).

fof(c_0_549_550,plain,
    ! [X24,X12,X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12)),X24) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X12),X24)) ),
    inference(fof_simplification,[status(thm)],[c_0_192]) ).

fof(c_0_550_551,plain,
    ! [X19,X11,X8,X3] :
      ( ~ class_RealVector_Oreal__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X11)),X19) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X19)) ),
    inference(fof_simplification,[status(thm)],[c_0_193]) ).

fof(c_0_551_552,plain,
    ! [X21,X19,X11,X29,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X19),X21)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X19),X29)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),X21) = X29 ),
    inference(fof_simplification,[status(thm)],[c_0_194]) ).

fof(c_0_552_553,plain,
    ! [X25,X14,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | c_Finite__Set_Osetsum(c_COMBK(c_HOL_Ozero__class_Ozero(X3),X3,X14),X25,X14,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_195]) ).

fof(c_0_553_554,plain,
    ! [X15,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Limits_OZfun(c_COMBK(c_HOL_Ozero__class_Ozero(X14),X14,X3),X15,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_196]) ).

fof(c_0_554_555,plain,
    ! [X18,X8,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X14)
      | c_Lim_OisCont(c_COMBK(X18,X14,X3),X8,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_197]) ).

fof(c_0_555_556,plain,
    ! [X11,X9,X14,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X14)
      | c_Lim_OisCont(X9,X11,X3,X14)
      | ~ c_Lim_OisUCont(X9,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_198]) ).

fof(c_0_556_557,plain,
    ! [X9,X8,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Lim_OisCont(X9,X8,X3,X14)
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_199]) ).

fof(c_0_557_558,plain,
    ! [X37,X38,X39,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X38),X37)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X38),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X39),X37)) ),
    inference(fof_simplification,[status(thm)],[c_0_200]) ).

fof(c_0_558_559,plain,
    ! [X10,X12,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X12)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12)) ),
    inference(fof_simplification,[status(thm)],[c_0_201]) ).

fof(c_0_559_560,plain,
    ! [X24,X12,X8,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X12),X24)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X12),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X24)) ),
    inference(fof_simplification,[status(thm)],[c_0_202]) ).

fof(c_0_560_561,plain,
    ! [X21,X19,X11,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X19),X21)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X19),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),X21)) ),
    inference(fof_simplification,[status(thm)],[c_0_203]) ).

fof(c_0_561_562,plain,
    ! [X23,X24,X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X24),X23)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X24),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X23)) ),
    inference(fof_simplification,[status(thm)],[c_0_204]) ).

fof(c_0_562_563,plain,
    ! [X30,X11,X10,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X30),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X11)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X30),X11)) ),
    inference(fof_simplification,[status(thm)],[c_0_205]) ).

fof(c_0_563_564,plain,
    ! [X19,X11,X8,X3] :
      ( ~ class_RealVector_Oreal__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X19)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X19)) ),
    inference(fof_simplification,[status(thm)],[c_0_206]) ).

fof(c_0_564_565,plain,
    ! [X10,X12,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X12)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X12)) ),
    inference(fof_simplification,[status(thm)],[c_0_207]) ).

fof(c_0_565_566,plain,
    ! [X11,X12,X8,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X12),X11)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X12),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X11)) ),
    inference(fof_simplification,[status(thm)],[c_0_208]) ).

fof(c_0_566_567,plain,
    ! [X11,X28,X10,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X28),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X11)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X28),X11)) ),
    inference(fof_simplification,[status(thm)],[c_0_209]) ).

fof(c_0_567_568,plain,
    ! [X12,X8,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)),X12)) = X12 ),
    inference(fof_simplification,[status(thm)],[c_0_210]) ).

fof(c_0_568_569,plain,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X12)),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8))
      | X12 = c_HOL_Ozero__class_Ozero(X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_211]) ).

fof(c_0_569_570,plain,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Ofield(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8)),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X12)) ),
    inference(fof_simplification,[status(thm)],[c_0_212]) ).

fof(c_0_570_571,plain,
    ! [X12,X8,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)) ),
    inference(fof_simplification,[status(thm)],[c_0_213]) ).

fof(c_0_571_572,plain,
    ! [X12,X8,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)) ),
    inference(fof_simplification,[status(thm)],[c_0_214]) ).

fof(c_0_572_573,plain,
    ! [X11,X10,X9,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X14)
      | hAPP(X9,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X11)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X10),hAPP(X9,X11))
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_215]) ).

fof(c_0_573_574,plain,
    ! [X11,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Lim_OisCont(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X8,X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_216]) ).

fof(c_0_574_575,plain,
    ! [X10,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Lim_OisCont(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X8,X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_217]) ).

fof(c_0_575_576,plain,
    ! [X21,X19,X11,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X19),X21)) != X19
      | X11 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X21) ),
    inference(fof_simplification,[status(thm)],[c_0_218]) ).

fof(c_0_576_577,plain,
    ! [X6,X18,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | X18 = X6
      | ~ c_SEQ_OLIMSEQ(c_COMBK(X18,X3,tc_nat),X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_219]) ).

fof(c_0_577_578,plain,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)),X12) ),
    inference(fof_simplification,[status(thm)],[c_0_220]) ).

fof(c_0_578_579,plain,
    ! [X12,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)),X12) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12)) ),
    inference(fof_simplification,[status(thm)],[c_0_221]) ).

fof(c_0_579_580,plain,
    ! [X19,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11)),X19) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X19)) ),
    inference(fof_simplification,[status(thm)],[c_0_222]) ).

fof(c_0_580_581,plain,
    ! [X21,X19,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X21)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X19),X21)) = X19 ),
    inference(fof_simplification,[status(thm)],[c_0_223]) ).

fof(c_0_581_582,plain,
    ! [X12,X8,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12)) = X12 ),
    inference(fof_simplification,[status(thm)],[c_0_224]) ).

fof(c_0_582_583,plain,
    ! [X12,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X12),X12) ),
    inference(fof_simplification,[status(thm)],[c_0_225]) ).

fof(c_0_583_584,plain,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12) ),
    inference(fof_simplification,[status(thm)],[c_0_226]) ).

fof(c_0_584_585,plain,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)),X12) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)) ),
    inference(fof_simplification,[status(thm)],[c_0_227]) ).

fof(c_0_585_586,plain,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)) ),
    inference(fof_simplification,[status(thm)],[c_0_228]) ).

fof(c_0_586_587,plain,
    ! [X12,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12)) ),
    inference(fof_simplification,[status(thm)],[c_0_229]) ).

fof(c_0_587_588,plain,
    ! [X30,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X30),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11)) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X30),X11)) ),
    inference(fof_simplification,[status(thm)],[c_0_230]) ).

fof(c_0_588_589,plain,
    ! [X11,X8,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11)) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X11)) ),
    inference(fof_simplification,[status(thm)],[c_0_231]) ).

fof(c_0_589_590,plain,
    ! [X12,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X12)) ),
    inference(fof_simplification,[status(thm)],[c_0_232]) ).

fof(c_0_590,plain,
    ! [X19,X11,X3] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X19)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X19) ),
    inference(fof_simplification,[status(thm)],[c_0_233]) ).

fof(c_0_591,plain,
    ! [X18,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | X18 = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_SEQ_OZseq(c_COMBK(X18,X3,tc_nat),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_234]) ).

fof(c_0_592,plain,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X8) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X12),X12)
      | X8 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)
      | X8 = X12 ),
    inference(fof_simplification,[status(thm)],[c_0_235]) ).

fof(c_0_593,plain,
    ! [X11,X10,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X11) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),hAPP(c_RealVector_Oof__real(X3),X10)),X11) ),
    inference(fof_simplification,[status(thm)],[c_0_236]) ).

fof(c_0_594,plain,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osums(c_COMBK(c_HOL_Ozero__class_Ozero(X3),X3,tc_nat),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_237]) ).

fof(c_0_595,plain,
    ! [X12,X8,X2,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | X8 = X12
      | ~ c_SEQ_OLIMSEQ(X2,X12,X3)
      | ~ c_SEQ_OLIMSEQ(X2,X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_238]) ).

fof(c_0_596,plain,
    ! [X21,X19,X11,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),X19) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),X21)
      | X19 = X21 ),
    inference(fof_simplification,[status(thm)],[c_0_239]) ).

fof(c_0_597,plain,
    ! [X11,X12,X8,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X11) != hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X12),X11)
      | X11 = c_HOL_Ozero__class_Ozero(X3)
      | X8 = X12 ),
    inference(fof_simplification,[status(thm)],[c_0_240]) ).

fof(c_0_598,plain,
    ! [X19,X11,X8,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X11) != hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X19)
      | X8 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X11 = X19 ),
    inference(fof_simplification,[status(thm)],[c_0_241]) ).

fof(c_0_599,plain,
    ! [X24,X12,X8,X3] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X24)
      | X12 = X24 ),
    inference(fof_simplification,[status(thm)],[c_0_242]) ).

fof(c_0_600,plain,
    ! [X24,X12,X8,X3] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X24)
      | X12 = X24 ),
    inference(fof_simplification,[status(thm)],[c_0_243]) ).

fof(c_0_601,plain,
    ! [X24,X12,X8,X3] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X12),X8) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X24),X8)
      | X12 = X24 ),
    inference(fof_simplification,[status(thm)],[c_0_244]) ).

fof(c_0_602,plain,
    ! [X11,X8,X3] :
      ( ~ class_RealVector_Oreal__normed__field(X3)
      | c_Deriv_Odifferentiable(c_COMBK(X8,X3,X3),X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_245]) ).

fof(c_0_603,plain,
    ! [X18,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OLIMSEQ(c_COMBK(X18,X3,tc_nat),X18,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_246]) ).

fof(c_0_604,plain,
    ! [X11,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OLIMSEQ(c_COMBK(X11,X3,tc_nat),X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_247]) ).

fof(c_0_605,plain,
    ! [X9,X14,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Lim_OisUCont(X9,X3,X14)
      | ~ c_RealVector_Obounded__linear(X9,X3,X14) ),
    inference(fof_simplification,[status(thm)],[c_0_248]) ).

fof(c_0_606,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_Oconvergent(X2,X3)
      | ~ c_SEQ_OLIMSEQ(X2,c_SEQ_Olim(X2,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_249]) ).

fof(c_0_607,axiom,
    ! [X33,X34,X18] :
      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X34),X18) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X33),X18)
      | X34 = X33 ),
    c_0_250 ).

fof(c_0_608,axiom,
    ! [X33,X34,X18] :
      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X18),X34) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X18),X33)
      | X34 = X33 ),
    c_0_251 ).

fof(c_0_609,axiom,
    ! [X21,X19,X11] :
      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X11),X19) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X11),X21)
      | X19 = X21 ),
    c_0_252 ).

fof(c_0_610,plain,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osuminf(c_COMBK(c_HOL_Ozero__class_Ozero(X3),X3,tc_nat),X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_253]) ).

fof(c_0_611,plain,
    ! [X12,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)),X12) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_254]) ).

fof(c_0_612,plain,
    ! [X8,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)),X8) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_255]) ).

fof(c_0_613,plain,
    ! [X8,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)),X8) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_256]) ).

fof(c_0_614,plain,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osummable(c_COMBK(c_HOL_Ozero__class_Ozero(X3),X3,tc_nat),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_257]) ).

fof(c_0_615,plain,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OZseq(c_COMBK(c_HOL_Ozero__class_Ozero(X3),X3,tc_nat),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_258]) ).

fof(c_0_616,plain,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8)) ),
    inference(fof_simplification,[status(thm)],[c_0_259]) ).

fof(c_0_617,plain,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8))
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_260]) ).

fof(c_0_618,plain,
    ! [X19,X11,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X11) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X19) ),
    inference(fof_simplification,[status(thm)],[c_0_261]) ).

fof(c_0_619,plain,
    ! [X12,X8,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),c_HOL_Ozero__class_Ozero(X3)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X12),c_HOL_Ozero__class_Ozero(X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_262]) ).

fof(c_0_620,plain,
    ! [X12,X8,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12) != c_HOL_Ozero__class_Ozero(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8) = X12 ),
    inference(fof_simplification,[status(thm)],[c_0_263]) ).

fof(c_0_621,plain,
    ! [X12,X8,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12) != c_HOL_Ozero__class_Ozero(X3)
      | X8 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12) ),
    inference(fof_simplification,[status(thm)],[c_0_264]) ).

fof(c_0_622,plain,
    ! [X19,X11,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X19) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X19),X11) ),
    inference(fof_simplification,[status(thm)],[c_0_265]) ).

fof(c_0_623,plain,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X12),X8) ),
    inference(fof_simplification,[status(thm)],[c_0_266]) ).

fof(c_0_624,plain,
    ! [X24,X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X24) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X24),X8) ),
    inference(fof_simplification,[status(thm)],[c_0_267]) ).

fof(c_0_625,plain,
    ! [X19,X11,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),X19) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X19),X11) ),
    inference(fof_simplification,[status(thm)],[c_0_268]) ).

fof(c_0_626,plain,
    ! [X12,X8,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X12) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X12),X8) ),
    inference(fof_simplification,[status(thm)],[c_0_269]) ).

fof(c_0_627,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OLIMSEQ(X2,c_SEQ_Olim(X2,X3),X3)
      | ~ c_SEQ_Oconvergent(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_270]) ).

fof(c_0_628,plain,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osums(X9,c_Series_Osuminf(X9,X3),X3)
      | ~ c_Series_Osummable(X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_271]) ).

fof(c_0_629,plain,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ c_Series_Osummable(X9,X3)
      | c_Series_Osums(X9,c_Series_Osuminf(X9,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_272]) ).

fof(c_0_630,plain,
    ! [X20,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | X20 = c_Series_Osuminf(X9,X3)
      | ~ c_Series_Osums(X9,X20,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_273]) ).

fof(c_0_631,plain,
    ! [X11,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osuminf(X9,X3) = X11
      | ~ c_Series_Osums(X9,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_274]) ).

fof(c_0_632,plain,
    ! [X2,X17,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_Olim(X2,X3) = X17
      | ~ c_SEQ_OLIMSEQ(X2,X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_275]) ).

fof(c_0_633,plain,
    ! [X6,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osummable(X9,X3)
      | ~ c_Series_Osums(X9,X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_276]) ).

fof(c_0_634,plain,
    ! [X11,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osummable(X9,X3)
      | ~ c_Series_Osums(X9,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_277]) ).

fof(c_0_635,plain,
    ! [X2,X17,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_Oconvergent(X2,X3)
      | ~ c_SEQ_OLIMSEQ(X2,X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_278]) ).

fof(c_0_636,plain,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_Oconvergent(X2,X3)
      | ~ c_SEQ_OLIMSEQ(X2,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_279]) ).

fof(c_0_637,plain,
    ! [X8,X2,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OCauchy(X2,X3)
      | ~ c_SEQ_OLIMSEQ(X2,X8,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_280]) ).

fof(c_0_638,plain,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12) != c_HOL_Ozero__class_Ozero(X3)
      | X12 = c_HOL_Ozero__class_Ozero(X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_281]) ).

fof(c_0_639,plain,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12) != c_HOL_Ozero__class_Ozero(X3)
      | X12 = c_HOL_Ozero__class_Ozero(X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_282]) ).

fof(c_0_640,plain,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X12) != c_HOL_Ozero__class_Ozero(X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3)
      | X12 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_283]) ).

fof(c_0_641,plain,
    ! [X11,X8,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X11) != c_HOL_Ozero__class_Ozero(X3)
      | X11 = c_HOL_Ozero__class_Ozero(X3)
      | X8 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_284]) ).

fof(c_0_642,plain,
    ! [X11,X8,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | X11 != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),X8)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_285]) ).

fof(c_0_643,plain,
    ! [X8,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_286]) ).

fof(c_0_644,plain,
    ! [X8,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),X8) != c_HOL_Ozero__class_Ozero(X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_287]) ).

fof(c_0_645,plain,
    ! [X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Lim_OisUCont(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_288]) ).

fof(c_0_646,plain,
    ! [X8,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_RealVector_Obounded__linear(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_289]) ).

fof(c_0_647,plain,
    ! [X10,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Lim_OisUCont(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X10),X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_290]) ).

fof(c_0_648,plain,
    ! [X8,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_Obounded__linear(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_291]) ).

fof(c_0_649,plain,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(X9,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_Series_Osummable(X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_292]) ).

fof(c_0_650,plain,
    ! [X1,X2,X3] :
      ( X2 = X1
      | ~ c_fequal(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_293]) ).

fof(c_0_651,plain,
    ! [X11,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(c_RealVector_Onorm__class_Onorm(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11)) = hAPP(c_RealVector_Onorm__class_Onorm(X3),X11) ),
    inference(fof_simplification,[status(thm)],[c_0_294]) ).

fof(c_0_652,plain,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8) != hAPP(c_HOL_Oinverse__class_Oinverse(X3),X12)
      | X8 = X12
      | X12 = c_HOL_Ozero__class_Ozero(X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_295]) ).

fof(c_0_653,plain,
    ! [X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),c_HOL_Ozero__class_Ozero(X3)),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_296]) ).

fof(c_0_654,axiom,
    ! [X19,X11] :
      ( hAPP(c_Complex_OIm,X11) != hAPP(c_Complex_OIm,X19)
      | hAPP(c_Complex_ORe,X11) != hAPP(c_Complex_ORe,X19)
      | X11 = X19 ),
    c_0_297 ).

fof(c_0_655,plain,
    ! [X12,X8,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8) != hAPP(c_HOL_Oinverse__class_Oinverse(X3),X12)
      | X8 = X12 ),
    inference(fof_simplification,[status(thm)],[c_0_298]) ).

fof(c_0_656,plain,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),c_HOL_Ozero__class_Ozero(X3)),X8) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_299]) ).

fof(c_0_657,plain,
    ! [X19,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),c_HOL_Ozero__class_Ozero(X3)),X19) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_300]) ).

fof(c_0_658,plain,
    ! [X12,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),c_HOL_Ozero__class_Ozero(X3)),X12) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_301]) ).

fof(c_0_659,plain,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),c_HOL_Ozero__class_Ozero(X3)),X11) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_302]) ).

fof(c_0_660,plain,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Omult__zero(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),c_HOL_Ozero__class_Ozero(X3)),X8) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_303]) ).

fof(c_0_661,plain,
    ! [X12,X3] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),c_HOL_Ozero__class_Ozero(X3)),X12) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_304]) ).

fof(c_0_662,plain,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X3),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8)) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_305]) ).

fof(c_0_663,plain,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | ~ class_Int_Onumber__ring(X3)
      | X11 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X11),c_HOL_Ozero__class_Ozero(X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_306]) ).

fof(c_0_664,plain,
    ! [X12,X8,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)
      | X8 = X12 ),
    inference(fof_simplification,[status(thm)],[c_0_307]) ).

fof(c_0_665,plain,
    ! [X19,X11,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X19)
      | X11 = X19 ),
    inference(fof_simplification,[status(thm)],[c_0_308]) ).

fof(c_0_666,plain,
    ! [X19,X11,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),X11) != hAPP(c_RealVector_Oof__real(X3),X19)
      | X11 = X19 ),
    inference(fof_simplification,[status(thm)],[c_0_309]) ).

fof(c_0_667,plain,
    ! [X8,X3] :
      ( ~ class_OrderedGroup_Omonoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),c_HOL_Ozero__class_Ozero(X3)),X8) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_310]) ).

fof(c_0_668,plain,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),c_HOL_Ozero__class_Ozero(X3)),X11) = X11 ),
    inference(fof_simplification,[status(thm)],[c_0_311]) ).

fof(c_0_669,plain,
    ! [X8,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),c_HOL_Ozero__class_Ozero(X3)),X8) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_312]) ).

fof(c_0_670,plain,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),c_HOL_Ozero__class_Ozero(X3)),X8) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_313]) ).

fof(c_0_671,plain,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X3),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8)) = X8
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_314]) ).

fof(c_0_672,plain,
    ! [X8,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_315]) ).

fof(c_0_673,plain,
    ! [X12,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X12) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_316]) ).

fof(c_0_674,plain,
    ! [X8,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X8),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_317]) ).

fof(c_0_675,plain,
    ! [X11,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X11) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_318]) ).

fof(c_0_676,plain,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_319]) ).

fof(c_0_677,plain,
    ! [X8,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_320]) ).

fof(c_0_678,plain,
    ! [X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_321]) ).

fof(c_0_679,plain,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Omult__zero(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_322]) ).

fof(c_0_680,plain,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X8),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_323]) ).

fof(c_0_681,plain,
    ! [X8,X3] :
      ( ~ class_OrderedGroup_Omonoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),c_HOL_Ozero__class_Ozero(X3)) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_324]) ).

fof(c_0_682,plain,
    ! [X8,X3] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),c_HOL_Ozero__class_Ozero(X3)) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_325]) ).

fof(c_0_683,plain,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X8),c_HOL_Ozero__class_Ozero(X3)) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_326]) ).

fof(c_0_684,plain,
    ! [X12,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)) = X12 ),
    inference(fof_simplification,[status(thm)],[c_0_327]) ).

fof(c_0_685,plain,
    ! [X8,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | X8 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)) ),
    inference(fof_simplification,[status(thm)],[c_0_328]) ).

fof(c_0_686,plain,
    ! [X12,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | X12 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X12)) ),
    inference(fof_simplification,[status(thm)],[c_0_329]) ).

fof(c_0_687,plain,
    ! [X11,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11)) = X11 ),
    inference(fof_simplification,[status(thm)],[c_0_330]) ).

fof(c_0_688,plain,
    ! [X8,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_331]) ).

fof(c_0_689,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X3)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X11),X11) = X11 ),
    inference(fof_simplification,[status(thm)],[c_0_332]) ).

fof(c_0_690,plain,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8) != c_HOL_Ozero__class_Ozero(X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_333]) ).

fof(c_0_691,plain,
    ! [X8,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8) != c_HOL_Ozero__class_Ozero(X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_334]) ).

fof(c_0_692,plain,
    ! [X8,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ozero__class_Ozero(X3) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8)
      | c_HOL_Ozero__class_Ozero(X3) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_335]) ).

fof(c_0_693,plain,
    ! [X8,X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X3),X8) != c_HOL_Ozero__class_Ozero(X3)
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_336]) ).

fof(c_0_694,plain,
    ! [X11,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),X11) != c_HOL_Ozero__class_Ozero(X3)
      | X11 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_337]) ).

fof(c_0_695,plain,
    ! [X11,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(c_RealVector_Onorm__class_Onorm(X3),X11) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X11 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_338]) ).

fof(c_0_696,axiom,
    ! [X41,X42,X43,X44] :
      ( c_Complex_Ocomplex_OComplex(X44,X42) != c_Complex_Ocomplex_OComplex(X43,X41)
      | X42 = X41 ),
    c_0_339 ).

fof(c_0_697,axiom,
    ! [X41,X42,X43,X44] :
      ( c_Complex_Ocomplex_OComplex(X44,X42) != c_Complex_Ocomplex_OComplex(X43,X41)
      | X44 = X43 ),
    c_0_340 ).

fof(c_0_698,plain,
    ! [X8,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X8) != X8
      | X8 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_341]) ).

fof(c_0_699,plain,
    ! [X3] :
      ( ~ class_Ring__and__Field_Odivision__ring(X3)
      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_342]) ).

fof(c_0_700,plain,
    ! [X2,X3] :
      ( ~ class_SEQ_Ocomplete__space(X3)
      | c_SEQ_OCauchy(X2,X3)
      | ~ c_SEQ_Oconvergent(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_343]) ).

fof(c_0_701,plain,
    ! [X2,X3] :
      ( ~ class_SEQ_Ocomplete__space(X3)
      | c_SEQ_Oconvergent(X2,X3)
      | ~ c_SEQ_OCauchy(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_344]) ).

fof(c_0_702,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OCauchy(X2,X3)
      | ~ c_SEQ_Oconvergent(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_345]) ).

fof(c_0_703,plain,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_346]) ).

fof(c_0_704,axiom,
    ! [X26,X27] :
      ( hAPP(c_Suc,X27) != hAPP(c_Suc,X26)
      | X27 = X26 ),
    c_0_347 ).

fof(c_0_705,axiom,
    ! [X19,X11] :
      ( hAPP(c_Suc,X11) != hAPP(c_Suc,X19)
      | X11 = X19 ),
    c_0_348 ).

fof(c_0_706,plain,
    ! [X3] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_349]) ).

fof(c_0_707,plain,
    ! [X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ozero__class_Ozero(X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_HOL_Ozero__class_Ozero(X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_350]) ).

fof(c_0_708,plain,
    ! [X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_351]) ).

fof(c_0_709,plain,
    ! [X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_352]) ).

fof(c_0_710,plain,
    ! [X4,X5] :
      ( class_Lattices_Oboolean__algebra(tc_fun(X4,X5))
      | ~ class_Lattices_Oboolean__algebra(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_353]) ).

fof(c_0_711,plain,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(c_RealVector_Onorm__class_Onorm(X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_354]) ).

fof(c_0_712,plain,
    ! [X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_355]) ).

fof(c_0_713,plain,
    ! [X2] :
      ( c_SEQ_Oconvergent(X2,tc_RealDef_Oreal)
      | ~ c_SEQ_OCauchy(X2,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_356]) ).

fof(c_0_714,plain,
    ! [X20] :
      ( v_thesis____
      | ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X20,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_357])])]) ).

fof(c_0_715,plain,
    ! [X19,X20,X21,X22] :
      ( ~ class_RealVector_Ometric__space(X22)
      | c_SEQ_OLIMSEQ(X20,X21,X22)
      | ~ c_SEQ_OLIMSEQ(c_COMBB(X20,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),X19,tc_nat,tc_nat,tc_nat),tc_nat,X22,tc_nat),X21,X22) ),
    inference(variable_rename,[status(thm)],[c_0_358]) ).

fof(c_0_716,plain,
    ! [X20,X21,X22,X23,X24,X25] :
      ( ~ class_RealVector_Oreal__normed__algebra(X24)
      | ~ class_RealVector_Ometric__space(X25)
      | c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X24),X22,X24,tc_fun(X24,X24),X25),X20,X25,X24,X24),X23,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X24),X21),X20),X25,X24)
      | ~ c_Lim_OLIM(X22,X23,X21,X25,X24) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_359])])]) ).

fof(c_0_717,plain,
    ! [X20,X21,X22,X23,X24,X25] :
      ( ~ class_RealVector_Oreal__normed__algebra(X24)
      | c_Limits_Otendsto(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X24),X22,X24,tc_fun(X24,X24),X25),X20,X25,X24,X24),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X24),X23),X20),X21,X25,X24)
      | ~ c_Limits_Otendsto(X22,X23,X21,X25,X24) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_360])])]) ).

fof(c_0_718,plain,
    ! [X15,X16,X17,X18,X19,X20] :
      ( ~ class_RealVector_Oreal__normed__vector(X19)
      | ~ class_RealVector_Ometric__space(X20)
      | c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X19),X17,tc_RealDef_Oreal,tc_fun(X19,X19),X20),X15,X20,X19,X19),X18,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X19),X16),X15),X20,X19)
      | ~ c_Lim_OLIM(X17,X18,X16,X20,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_361])])]) ).

fof(c_0_719,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( ~ class_RealVector_Oreal__normed__vector(X20)
      | c_Limits_Otendsto(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X20),X18,tc_RealDef_Oreal,tc_fun(X20,X20),X21),X16,X21,X20,X20),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X20),X19),X16),X17,X21,X20)
      | ~ c_Limits_Otendsto(X18,X19,X17,X21,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_362])])]) ).

fof(c_0_720,plain,
    ! [X20,X21,X22,X23,X24] :
      ( ~ class_RealVector_Oreal__normed__algebra(X23)
      | ~ class_RealVector_Ometric__space(X24)
      | c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X23),X21,X23,tc_fun(X23,X23),X24),X20,X24,X23,X23),X22,c_HOL_Ozero__class_Ozero(X23),X24,X23)
      | ~ c_Lim_OLIM(X21,X22,c_HOL_Ozero__class_Ozero(X23),X24,X23) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_363])])]) ).

fof(c_0_721,plain,
    ! [X25,X26,X27,X28,X29] :
      ( ~ class_RealVector_Oreal__normed__algebra(X28)
      | ~ class_RealVector_Ometric__space(X29)
      | c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X28),X25,X28,tc_fun(X28,X28),X29),X26,X29,X28,X28),X27,c_HOL_Ozero__class_Ozero(X28),X29,X28)
      | ~ c_Lim_OLIM(X25,X27,c_HOL_Ozero__class_Ozero(X28),X29,X28) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_364])])]) ).

fof(c_0_722,plain,
    ! [X25,X26,X27,X28,X29] :
      ( ~ class_RealVector_Oreal__normed__vector(X28)
      | ~ class_RealVector_Ometric__space(X29)
      | c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X28),X25,tc_RealDef_Oreal,tc_fun(X28,X28),X29),X26,X29,X28,X28),X27,c_HOL_Ozero__class_Ozero(X28),X29,X28)
      | ~ c_Lim_OLIM(X25,X27,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X29,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_365])])]) ).

fof(c_0_723,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | ~ class_RealVector_Ometric__space(X19)
      | c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X18),X16,tc_RealDef_Oreal,tc_fun(X18,X18),X19),X15,X19,X18,X18),X17,c_HOL_Ozero__class_Ozero(X18),X19,X18)
      | ~ c_Lim_OLIM(X16,X17,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X19,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_366])])]) ).

fof(c_0_724,plain,
    ! [X26,X27,X28,X29,X30] :
      ( ~ class_RealVector_Oreal__normed__algebra(X30)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X30),c_Finite__Set_Osetsum(X27,X28,X29,X30)),X26) = c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X30),X27,X30,tc_fun(X30,X30),X29),X26,X29,X30,X30),X28,X29,X30) ),
    inference(variable_rename,[status(thm)],[c_0_367]) ).

fof(c_0_725,plain,
    ! [X26,X27,X28,X29,X30] :
      ( ~ class_Ring__and__Field_Osemiring__0(X30)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X30),c_Finite__Set_Osetsum(X27,X28,X29,X30)),X26) = c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X30),X27,X30,tc_fun(X30,X30),X29),X26,X29,X30,X30),X28,X29,X30) ),
    inference(variable_rename,[status(thm)],[c_0_368]) ).

fof(c_0_726,plain,
    ! [X26,X27,X28,X29,X30] :
      ( ~ class_RealVector_Oreal__vector(X30)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X30),c_Finite__Set_Osetsum(X27,X28,X29,tc_RealDef_Oreal)),X26) = c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X30),X27,tc_RealDef_Oreal,tc_fun(X30,X30),X29),X26,X29,X30,X30),X28,X29,X30) ),
    inference(variable_rename,[status(thm)],[c_0_369]) ).

fof(c_0_727,plain,
    ! [X20,X21,X22,X23,X24] :
      ( ~ class_RealVector_Oreal__normed__algebra(X23)
      | c_Limits_OZfun(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X23),X22,X23,tc_fun(X23,X23),X24),X20,X24,X23,X23),X21,X24,X23)
      | ~ c_Limits_OZfun(X22,X21,X24,X23) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_370])])]) ).

fof(c_0_728,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_RealVector_Oreal__normed__algebra(X19)
      | c_Limits_OZfun(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X19),X17,X19,tc_fun(X19,X19),X20),X18,X20,X19,X19),X16,X20,X19)
      | ~ c_Limits_OZfun(X17,X16,X20,X19) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_371])])]) ).

fof(c_0_729,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_RealVector_Oreal__normed__vector(X19)
      | c_Limits_OZfun(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X19),X18,tc_RealDef_Oreal,tc_fun(X19,X19),X20),X16,X20,X19,X19),X17,X20,X19)
      | ~ c_Limits_OZfun(X18,X17,X20,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_372])])]) ).

fof(c_0_730,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_RealVector_Oreal__normed__vector(X19)
      | c_Limits_OZfun(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X19),X17,tc_RealDef_Oreal,tc_fun(X19,X19),X20),X18,X20,X19,X19),X16,X20,X19)
      | ~ c_Limits_OZfun(X17,X16,X20,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_373])])]) ).

fof(c_0_731,plain,
    ! [X15,X16,X17,X18,X19,X20,X21] :
      ( ~ class_RealVector_Ometric__space(X21)
      | ~ class_RealVector_Ometric__space(X20)
      | ~ class_RealVector_Ometric__space(X19)
      | c_Lim_OLIM(c_COMBB(X16,X17,X21,X20,X19),X18,hAPP(X16,X15),X19,X20)
      | ~ c_Lim_OLIM(X17,X18,X15,X19,X21)
      | ~ c_Lim_OLIM(X16,X15,hAPP(X16,X15),X21,X20) ),
    inference(variable_rename,[status(thm)],[c_0_374]) ).

fof(c_0_732,plain,
    ! [X19,X20,X21,X22] :
      ( ~ class_RealVector_Ometric__space(X22)
      | c_SEQ_OLIMSEQ(c_COMBB(X20,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),X19,tc_nat,tc_nat,tc_nat),tc_nat,X22,tc_nat),X21,X22)
      | ~ c_SEQ_OLIMSEQ(X20,X21,X22) ),
    inference(variable_rename,[status(thm)],[c_0_375]) ).

fof(c_0_733,plain,
    ! [X19,X20,X21] :
      ( ~ class_RealVector_Oreal__normed__vector(X21)
      | c_Series_Osummable(c_COMBB(X20,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),X19,tc_nat,tc_nat,tc_nat),tc_nat,X21,tc_nat),X21)
      | ~ c_Series_Osummable(X20,X21) ),
    inference(variable_rename,[status(thm)],[c_0_376]) ).

fof(c_0_734,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | ~ class_RealVector_Ometric__space(X17)
      | c_Lim_OLIM(X15,X16,hAPP(X15,X16),X18,X17)
      | ~ c_Lim_OLIM(c_COMBB(X15,hAPP(c_HOL_Oplus__class_Oplus(X18),X16),X18,X17,X18),c_HOL_Ozero__class_Ozero(X18),hAPP(X15,X16),X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_377]) ).

fof(c_0_735,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_RealVector_Ometric__space(X21)
      | ~ class_RealVector_Oreal__normed__vector(X22)
      | c_Lim_OLIM(X18,X19,X20,X22,X21)
      | ~ c_Lim_OLIM(c_COMBB(X18,hAPP(c_HOL_Oplus__class_Oplus(X22),X19),X22,X21,X22),c_HOL_Ozero__class_Ozero(X22),X20,X22,X21) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_378])])]) ).

fof(c_0_736,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_RealVector_Oreal__normed__vector(X19)
      | c_Limits_Otendsto(X17,X18,X16,X20,X19)
      | ~ c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X19),X17,X19,X19,X20),hAPP(c_HOL_Ouminus__class_Ouminus(X19),X18),X16,X20,X19) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_379])])]) ).

fof(c_0_737,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_RealVector_Oreal__normed__vector(X17)
      | ~ class_RealVector_Ometric__space(X18)
      | c_Lim_OLIM(X15,X16,c_HOL_Ozero__class_Ozero(X17),X18,X17)
      | ~ c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X17),X15,X17,tc_RealDef_Oreal,X18),X16,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X18,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_380])])]) ).

fof(c_0_738,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | ~ class_RealVector_Ometric__space(X17)
      | c_Lim_OisCont(X16,X15,X18,X17)
      | ~ c_Lim_OLIM(c_COMBB(X16,hAPP(c_HOL_Oplus__class_Oplus(X18),X15),X18,X17,X18),c_HOL_Ozero__class_Ozero(X18),hAPP(X16,X15),X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_381]) ).

fof(c_0_739,plain,
    ! [X15,X16,X17,X18,X19,X20,X21] :
      ( ~ class_RealVector_Ometric__space(X21)
      | ~ class_RealVector_Ometric__space(X20)
      | ~ class_RealVector_Ometric__space(X19)
      | c_Lim_OLIM(c_COMBB(X16,X17,X21,X20,X19),X18,hAPP(X16,X15),X19,X20)
      | ~ c_Lim_OLIM(X17,X18,X15,X19,X21)
      | ~ c_Lim_OisCont(X16,X15,X21,X20) ),
    inference(variable_rename,[status(thm)],[c_0_382]) ).

fof(c_0_740,plain,
    ! [X15,X16,X17,X18,X19,X20] :
      ( ~ class_RealVector_Oreal__normed__algebra(X19)
      | ~ class_RealVector_Ometric__space(X20)
      | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X19),X15),X17,X19,X19,X20),X18,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X19),X15),X16),X20,X19)
      | ~ c_Lim_OLIM(X17,X18,X16,X20,X19) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_383])])]) ).

fof(c_0_741,plain,
    ! [X15,X16,X17,X18,X19,X20] :
      ( ~ class_RealVector_Oreal__normed__vector(X19)
      | ~ class_RealVector_Ometric__space(X20)
      | c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X19),X15),X17,X19,X19,X20),X18,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X19),X15),X16),X20,X19)
      | ~ c_Lim_OLIM(X17,X18,X16,X20,X19) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_384])])]) ).

fof(c_0_742,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( ~ class_RealVector_Oreal__normed__algebra(X20)
      | c_Limits_Otendsto(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X20),X16),X18,X20,X20,X21),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X20),X16),X19),X17,X21,X20)
      | ~ c_Limits_Otendsto(X18,X19,X17,X21,X20) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_385])])]) ).

fof(c_0_743,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( ~ class_RealVector_Oreal__normed__vector(X20)
      | c_Limits_Otendsto(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X20),X16),X18,X20,X20,X21),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X20),X16),X19),X17,X21,X20)
      | ~ c_Limits_Otendsto(X18,X19,X17,X21,X20) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_386])])]) ).

fof(c_0_744,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | ~ class_RealVector_Ometric__space(X17)
      | c_Lim_OLIM(c_COMBB(X15,hAPP(c_HOL_Oplus__class_Oplus(X18),X16),X18,X17,X18),c_HOL_Ozero__class_Ozero(X18),hAPP(X15,X16),X18,X17)
      | ~ c_Lim_OLIM(X15,X16,hAPP(X15,X16),X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_387]) ).

fof(c_0_745,plain,
    ! [X15,X16,X17,X18,X19,X20,X21] :
      ( ~ class_RealVector_Oreal__normed__vector(X21)
      | ~ class_RealVector_Oreal__normed__vector(X20)
      | ~ class_RealVector_Ometric__space(X19)
      | c_Lim_OLIM(c_COMBB(X17,X16,X21,X20,X19),X18,hAPP(X17,X15),X19,X20)
      | ~ c_Lim_OLIM(X16,X18,X15,X19,X21)
      | ~ c_RealVector_Obounded__linear(X17,X21,X20) ),
    inference(variable_rename,[status(thm)],[c_0_388]) ).

fof(c_0_746,plain,
    ! [X16,X17,X18,X19,X20,X21,X22] :
      ( ~ class_RealVector_Oreal__normed__vector(X21)
      | ~ class_RealVector_Oreal__normed__vector(X22)
      | c_Limits_Otendsto(c_COMBB(X18,X17,X22,X21,X20),hAPP(X18,X19),X16,X20,X21)
      | ~ c_Limits_Otendsto(X17,X19,X16,X20,X22)
      | ~ c_RealVector_Obounded__linear(X18,X22,X21) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_389])])]) ).

fof(c_0_747,plain,
    ! [X15,X16,X17,X18,X19,X20] :
      ( ~ class_RealVector_Oreal__normed__vector(X19)
      | ~ class_RealVector_Oreal__normed__vector(X20)
      | ~ class_RealVector_Ometric__space(X18)
      | c_Lim_OLIM(c_COMBB(X16,X15,X20,X19,X18),X17,c_HOL_Ozero__class_Ozero(X19),X18,X19)
      | ~ c_Lim_OLIM(X15,X17,c_HOL_Ozero__class_Ozero(X20),X18,X20)
      | ~ c_RealVector_Obounded__linear(X16,X20,X19) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_390])])]) ).

fof(c_0_748,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ class_RealVector_Oreal__normed__algebra(X18)
      | ~ class_RealVector_Ometric__space(X19)
      | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X18),X15),X16,X18,X18,X19),X17,c_HOL_Ozero__class_Ozero(X18),X19,X18)
      | ~ c_Lim_OLIM(X16,X17,c_HOL_Ozero__class_Ozero(X18),X19,X18) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_391])])]) ).

fof(c_0_749,plain,
    ! [X25,X26,X27,X28,X29] :
      ( ~ class_RealVector_Oreal__normed__algebra(X28)
      | ~ class_RealVector_Ometric__space(X29)
      | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X28),X26),X25,X28,X28,X29),X27,c_HOL_Ozero__class_Ozero(X28),X29,X28)
      | ~ c_Lim_OLIM(X25,X27,c_HOL_Ozero__class_Ozero(X28),X29,X28) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_392])])]) ).

fof(c_0_750,plain,
    ! [X25,X26,X27,X28,X29] :
      ( ~ class_RealVector_Oreal__normed__vector(X28)
      | ~ class_RealVector_Ometric__space(X29)
      | c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X28),X26),X25,X28,X28,X29),X27,c_HOL_Ozero__class_Ozero(X28),X29,X28)
      | ~ c_Lim_OLIM(X25,X27,c_HOL_Ozero__class_Ozero(X28),X29,X28) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_393])])]) ).

fof(c_0_751,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | ~ class_RealVector_Ometric__space(X19)
      | c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X18),X15),X16,X18,X18,X19),X17,c_HOL_Ozero__class_Ozero(X18),X19,X18)
      | ~ c_Lim_OLIM(X16,X17,c_HOL_Ozero__class_Ozero(X18),X19,X18) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_394])])]) ).

fof(c_0_752,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_RealVector_Ometric__space(X21)
      | ~ class_RealVector_Oreal__normed__vector(X22)
      | c_Lim_OLIM(c_COMBB(X18,hAPP(c_HOL_Oplus__class_Oplus(X22),X19),X22,X21,X22),c_HOL_Ozero__class_Ozero(X22),X20,X22,X21)
      | ~ c_Lim_OLIM(X18,X19,X20,X22,X21) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_395])])]) ).

fof(c_0_753,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X21)
      | ~ class_RealVector_Ometric__space(X22)
      | c_Lim_OLIM(c_COMBB(c_HOL_Oinverse__class_Oinverse(X21),X18,X21,X21,X22),X19,hAPP(c_HOL_Oinverse__class_Oinverse(X21),X20),X22,X21)
      | X20 = c_HOL_Ozero__class_Ozero(X21)
      | ~ c_Lim_OLIM(X18,X19,X20,X22,X21) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_396])])]) ).

fof(c_0_754,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | ~ class_RealVector_Oreal__algebra__1(X18)
      | ~ class_RealVector_Ometric__space(X19)
      | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X18),X16,tc_RealDef_Oreal,X18,X19),X17,hAPP(c_RealVector_Oof__real(X18),X15),X19,X18)
      | ~ c_Lim_OLIM(X16,X17,X15,X19,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_397])])]) ).

fof(c_0_755,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_RealVector_Oreal__normed__vector(X21)
      | ~ class_RealVector_Ometric__space(X22)
      | c_Lim_OLIM(c_COMBB(c_HOL_Ouminus__class_Ouminus(X21),X18,X21,X21,X22),X19,hAPP(c_HOL_Ouminus__class_Ouminus(X21),X20),X22,X21)
      | ~ c_Lim_OLIM(X18,X19,X20,X22,X21) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_398])])]) ).

fof(c_0_756,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X19)
      | c_Limits_Otendsto(c_COMBB(c_HOL_Oinverse__class_Oinverse(X19),X17,X19,X19,X20),hAPP(c_HOL_Oinverse__class_Oinverse(X19),X18),X16,X20,X19)
      | X18 = c_HOL_Ozero__class_Ozero(X19)
      | ~ c_Limits_Otendsto(X17,X18,X16,X20,X19) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_399])])]) ).

fof(c_0_757,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | ~ class_RealVector_Ometric__space(X19)
      | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X18),X16,X18,tc_RealDef_Oreal,X19),X17,hAPP(c_RealVector_Onorm__class_Onorm(X18),X15),X19,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X16,X17,X15,X19,X18) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_400])])]) ).

fof(c_0_758,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_RealVector_Oreal__normed__vector(X19)
      | ~ class_RealVector_Oreal__algebra__1(X19)
      | c_Limits_Otendsto(c_COMBB(c_RealVector_Oof__real(X19),X17,tc_RealDef_Oreal,X19,X20),hAPP(c_RealVector_Oof__real(X19),X18),X16,X20,X19)
      | ~ c_Limits_Otendsto(X17,X18,X16,X20,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_401])])]) ).

fof(c_0_759,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_RealVector_Oreal__normed__vector(X19)
      | c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X19),X17,X19,X19,X20),hAPP(c_HOL_Ouminus__class_Ouminus(X19),X18),X16,X20,X19)
      | ~ c_Limits_Otendsto(X17,X18,X16,X20,X19) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_402])])]) ).

fof(c_0_760,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_RealVector_Oreal__normed__vector(X19)
      | c_Limits_Otendsto(c_COMBB(c_RealVector_Onorm__class_Onorm(X19),X17,X19,tc_RealDef_Oreal,X20),hAPP(c_RealVector_Onorm__class_Onorm(X19),X18),X16,X20,tc_RealDef_Oreal)
      | ~ c_Limits_Otendsto(X17,X18,X16,X20,X19) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_403])])]) ).

fof(c_0_761,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_RealVector_Oreal__normed__vector(X17)
      | ~ class_RealVector_Oreal__algebra__1(X17)
      | ~ class_RealVector_Ometric__space(X18)
      | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X17),X15,tc_RealDef_Oreal,X17,X18),X16,c_HOL_Ozero__class_Ozero(X17),X18,X17)
      | ~ c_Lim_OLIM(X15,X16,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X18,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_404])])]) ).

fof(c_0_762,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_RealVector_Oreal__normed__vector(X17)
      | ~ class_RealVector_Ometric__space(X18)
      | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X17),X15,X17,tc_RealDef_Oreal,X18),X16,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X18,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X15,X16,c_HOL_Ozero__class_Ozero(X17),X18,X17) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_405])])]) ).

fof(c_0_763,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_RealVector_Ometric__space(X12)
      | c_Lim_OLIM(c_COMBB(c_Complex_ORe,X10,tc_Complex_Ocomplex,tc_RealDef_Oreal,X12),X11,hAPP(c_Complex_ORe,X9),X12,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X10,X11,X9,X12,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_406]) ).

fof(c_0_764,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_RealVector_Ometric__space(X12)
      | c_Lim_OLIM(c_COMBB(c_Complex_OIm,X10,tc_Complex_Ocomplex,tc_RealDef_Oreal,X12),X11,hAPP(c_Complex_OIm,X9),X12,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X10,X11,X9,X12,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_407]) ).

fof(c_0_765,plain,
    ! [X16,X17,X18,X19] :
      ( c_Limits_Otendsto(c_COMBB(c_Complex_ORe,X17,tc_Complex_Ocomplex,tc_RealDef_Oreal,X19),hAPP(c_Complex_ORe,X18),X16,X19,tc_RealDef_Oreal)
      | ~ c_Limits_Otendsto(X17,X18,X16,X19,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_408]) ).

fof(c_0_766,plain,
    ! [X16,X17,X18,X19] :
      ( c_Limits_Otendsto(c_COMBB(c_Complex_OIm,X17,tc_Complex_Ocomplex,tc_RealDef_Oreal,X19),hAPP(c_Complex_OIm,X18),X16,X19,tc_RealDef_Oreal)
      | ~ c_Limits_Otendsto(X17,X18,X16,X19,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_409]) ).

fof(c_0_767,plain,
    ! [X18,X19,X20,X21,X22,X23] :
      ( ~ class_RealVector_Ometric__space(X22)
      | ~ class_RealVector_Ometric__space(X23)
      | c_SEQ_OLIMSEQ(c_COMBB(X19,X20,X23,X22,tc_nat),X21,X22)
      | ~ c_SEQ_OLIMSEQ(X20,X18,X23)
      | hAPP(X20,c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1(X20,X18,X23)) = X18
      | ~ c_Lim_OLIM(X19,X18,X21,X23,X22) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_410])])]) ).

fof(c_0_768,plain,
    ! [X16,X17,X18,X19] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | c_Limits_OZfun(X17,X16,X19,X18)
      | ~ c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X18),X17,X18,tc_RealDef_Oreal,X19),X16,X19,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_411])])]) ).

fof(c_0_769,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | ~ class_RealVector_Ometric__space(X17)
      | c_Lim_OLIM(c_COMBB(X16,hAPP(c_HOL_Oplus__class_Oplus(X18),X15),X18,X17,X18),c_HOL_Ozero__class_Ozero(X18),hAPP(X16,X15),X18,X17)
      | ~ c_Lim_OisCont(X16,X15,X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_412]) ).

fof(c_0_770,plain,
    ! [X9,X10,X11] :
      ( ~ class_RealVector_Oreal__normed__vector(X11)
      | c_SEQ_OLIMSEQ(X10,X9,X11)
      | ~ c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X11),X10,X11,X11,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X11),X9),X11) ),
    inference(variable_rename,[status(thm)],[c_0_413]) ).

fof(c_0_771,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_SEQ_OLIMSEQ(X4,c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X4,X5,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_414]) ).

fof(c_0_772,plain,
    ! [X10,X11,X12] :
      ( ~ class_RealVector_Ometric__space(X12)
      | c_SEQ_OLIMSEQ(X11,X10,X12)
      | ~ c_SEQ_OLIMSEQ(c_COMBB(X11,c_Suc,tc_nat,X12,tc_nat),X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_415]) ).

fof(c_0_773,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_SEQ_Oconvergent(X4,X5)
      | ~ c_SEQ_Oconvergent(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X4,X5,X5,tc_nat),X5) ),
    inference(variable_rename,[status(thm)],[c_0_416]) ).

fof(c_0_774,plain,
    ! [X10,X11] :
      ( ~ class_SEQ_Obanach(X11)
      | c_Series_Osummable(X10,X11)
      | ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(X11),X10,X11,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_417]) ).

fof(c_0_775,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_SEQ_OZseq(X4,X5)
      | ~ c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X4,X5,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_418]) ).

fof(c_0_776,plain,
    ! [X46,X47,X48,X49,X50,X51] :
      ( ~ class_RealVector_Ometric__space(X50)
      | ~ class_RealVector_Oreal__normed__algebra__1(X51)
      | X49 = X48
      | ~ c_Lim_OLIM(X46,X47,X48,X51,X50)
      | ~ c_Lim_OLIM(X46,X47,X49,X51,X50) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_419])])]) ).

fof(c_0_777,plain,
    ! [X20,X21,X22] :
      ( ~ class_RealVector_Oreal__normed__algebra(X22)
      | c_Lim_OLIM(c_COMBC(c_HOL_Otimes__class_Otimes(X22),X20,X22,X22,X22),X21,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X22),X21),X20),X22,X22) ),
    inference(variable_rename,[status(thm)],[c_0_420]) ).

fof(c_0_778,plain,
    ! [X15,X16,X17,X18,X19,X20] :
      ( ~ class_RealVector_Ometric__space(X20)
      | ~ class_RealVector_Ometric__space(X18)
      | ~ class_RealVector_Ometric__space(X19)
      | c_Lim_OisCont(c_COMBB(X15,X16,X19,X18,X20),X17,X20,X18)
      | ~ c_Lim_OisCont(X15,hAPP(X16,X17),X19,X18)
      | ~ c_Lim_OisCont(X16,X17,X20,X19) ),
    inference(variable_rename,[status(thm)],[c_0_421]) ).

fof(c_0_779,plain,
    ! [X26,X27,X28,X29,X30] :
      ( ~ class_RealVector_Oreal__normed__algebra(X30)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X30),X26),c_Finite__Set_Osetsum(X27,X28,X29,X30)) = c_Finite__Set_Osetsum(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X30),X26),X27,X30,X30,X29),X28,X29,X30) ),
    inference(variable_rename,[status(thm)],[c_0_422]) ).

fof(c_0_780,plain,
    ! [X26,X27,X28,X29,X30] :
      ( ~ class_Ring__and__Field_Osemiring__0(X30)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X30),X26),c_Finite__Set_Osetsum(X27,X28,X29,X30)) = c_Finite__Set_Osetsum(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X30),X26),X27,X30,X30,X29),X28,X29,X30) ),
    inference(variable_rename,[status(thm)],[c_0_423]) ).

fof(c_0_781,plain,
    ! [X26,X27,X28,X29,X30] :
      ( ~ class_RealVector_Oreal__vector(X30)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X30),X27),c_Finite__Set_Osetsum(X26,X28,X29,X30)) = c_Finite__Set_Osetsum(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X30),X27),X26,X30,X30,X29),X28,X29,X30) ),
    inference(variable_rename,[status(thm)],[c_0_424]) ).

fof(c_0_782,plain,
    ! [X26,X27,X28,X29] :
      ( ~ class_RealVector_Oreal__normed__vector(X29)
      | ~ class_RealVector_Oreal__algebra__1(X29)
      | hAPP(c_RealVector_Oof__real(X29),c_Finite__Set_Osetsum(X26,X27,X28,tc_RealDef_Oreal)) = c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Oof__real(X29),X26,tc_RealDef_Oreal,X29,X28),X27,X28,X29) ),
    inference(variable_rename,[status(thm)],[c_0_425]) ).

fof(c_0_783,plain,
    ! [X26,X27,X28,X29] :
      ( ~ class_OrderedGroup_Oab__group__add(X29)
      | c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(X29),X26,X29,X29,X28),X27,X28,X29) = hAPP(c_HOL_Ouminus__class_Ouminus(X29),c_Finite__Set_Osetsum(X26,X27,X28,X29)) ),
    inference(variable_rename,[status(thm)],[c_0_426]) ).

fof(c_0_784,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( ~ class_RealVector_Oreal__normed__vector(X20)
      | ~ class_RealVector_Oreal__normed__vector(X21)
      | c_Limits_OZfun(c_COMBB(X18,X17,X21,X20,X19),X16,X19,X20)
      | ~ c_Limits_OZfun(X17,X16,X19,X21)
      | ~ c_RealVector_Obounded__linear(X18,X21,X20) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_427])])]) ).

fof(c_0_785,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_RealVector_Oreal__normed__vector(X19)
      | c_Limits_OZfun(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X19),X16),X18,X19,X19,X20),X17,X20,X19)
      | ~ c_Limits_OZfun(X18,X17,X20,X19) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_428])])]) ).

fof(c_0_786,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_RealVector_Oreal__normed__vector(X19)
      | c_Limits_OZfun(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X19),X18),X17,X19,X19,X20),X16,X20,X19)
      | ~ c_Limits_OZfun(X17,X16,X20,X19) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_429])])]) ).

fof(c_0_787,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_RealVector_Oreal__normed__algebra(X19)
      | c_Limits_OZfun(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X19),X18),X17,X19,X19,X20),X16,X20,X19)
      | ~ c_Limits_OZfun(X17,X16,X20,X19) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_430])])]) ).

fof(c_0_788,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_RealVector_Oreal__normed__algebra(X19)
      | c_Limits_OZfun(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X19),X16),X18,X19,X19,X20),X17,X20,X19)
      | ~ c_Limits_OZfun(X18,X17,X20,X19) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_431])])]) ).

fof(c_0_789,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_RealVector_Ometric__space(X18)
      | ~ class_RealVector_Oreal__normed__div__algebra(X17)
      | c_Lim_OisCont(c_COMBB(c_HOL_Oinverse__class_Oinverse(X17),X15,X17,X17,X18),X16,X18,X17)
      | hAPP(X15,X16) = c_HOL_Ozero__class_Ozero(X17)
      | ~ c_Lim_OisCont(X15,X16,X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_432]) ).

fof(c_0_790,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_RealVector_Ometric__space(X18)
      | ~ class_RealVector_Oreal__normed__vector(X17)
      | c_Lim_OisCont(c_COMBB(c_HOL_Ouminus__class_Ouminus(X17),X15,X17,X17,X18),X16,X18,X17)
      | ~ c_Lim_OisCont(X15,X16,X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_433]) ).

fof(c_0_791,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_RealVector_Ometric__space(X18)
      | ~ class_RealVector_Oreal__normed__vector(X17)
      | c_Lim_OisCont(c_COMBB(c_RealVector_Onorm__class_Onorm(X17),X15,X17,tc_RealDef_Oreal,X18),X16,X18,tc_RealDef_Oreal)
      | ~ c_Lim_OisCont(X15,X16,X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_434]) ).

fof(c_0_792,plain,
    ! [X16,X17,X18,X19] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | ~ class_RealVector_Oreal__algebra__1(X18)
      | c_Limits_OZfun(c_COMBB(c_RealVector_Oof__real(X18),X17,tc_RealDef_Oreal,X18,X19),X16,X19,X18)
      | ~ c_Limits_OZfun(X17,X16,X19,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_435])])]) ).

fof(c_0_793,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_RealVector_Ometric__space(X18)
      | ~ class_RealVector_Oreal__normed__algebra__1(X17)
      | c_Lim_OisCont(c_COMBB(c_RealVector_Oof__real(X17),X15,tc_RealDef_Oreal,X17,X18),X16,X18,X17)
      | ~ c_Lim_OisCont(X15,X16,X18,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_436]) ).

fof(c_0_794,plain,
    ! [X16,X17,X18,X19] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | c_Limits_OZfun(c_COMBB(c_HOL_Ouminus__class_Ouminus(X18),X17,X18,X18,X19),X16,X19,X18)
      | ~ c_Limits_OZfun(X17,X16,X19,X18) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_437])])]) ).

fof(c_0_795,plain,
    ! [X16,X17,X18,X19] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X18),X17,X18,tc_RealDef_Oreal,X19),X16,X19,tc_RealDef_Oreal)
      | ~ c_Limits_OZfun(X17,X16,X19,X18) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_438])])]) ).

fof(c_0_796,plain,
    ! [X16,X17,X18] :
      ( c_Limits_OZfun(c_COMBB(c_Complex_ORe,X17,tc_Complex_Ocomplex,tc_RealDef_Oreal,X18),X16,X18,tc_RealDef_Oreal)
      | ~ c_Limits_OZfun(X17,X16,X18,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_439]) ).

fof(c_0_797,plain,
    ! [X16,X17,X18] :
      ( c_Limits_OZfun(c_COMBB(c_Complex_OIm,X17,tc_Complex_Ocomplex,tc_RealDef_Oreal,X18),X16,X18,tc_RealDef_Oreal)
      | ~ c_Limits_OZfun(X17,X16,X18,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_440]) ).

fof(c_0_798,plain,
    ! [X11,X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Series_Osums(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X11),X13,X14,X14,tc_nat),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X11),X12),X14)
      | ~ c_Series_Osums(X13,X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_441]) ).

fof(c_0_799,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_RealVector_Oreal__normed__algebra(X15)
      | c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X15),X12),X14,X15,X15,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),X12),X13),X15)
      | ~ c_Series_Osums(X14,X13,X15) ),
    inference(variable_rename,[status(thm)],[c_0_442]) ).

fof(c_0_800,plain,
    ! [X25,X26,X27,X28] :
      ( ~ class_RealVector_Oreal__normed__algebra(X28)
      | c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X28),X26),X25,X28,X28,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X28),X26),X27),X28)
      | ~ c_Series_Osums(X25,X27,X28) ),
    inference(variable_rename,[status(thm)],[c_0_443]) ).

fof(c_0_801,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_RealVector_Oreal__normed__algebra(X15)
      | c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X15),X12),X14,X15,X15,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),X12),X13),X15)
      | ~ c_SEQ_OLIMSEQ(X14,X13,X15) ),
    inference(variable_rename,[status(thm)],[c_0_444]) ).

fof(c_0_802,plain,
    ! [X11,X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X11),X13,X14,X14,tc_nat),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X11),X12),X14)
      | ~ c_SEQ_OLIMSEQ(X13,X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_445]) ).

fof(c_0_803,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_RealVector_Oreal__normed__field(X15)
      | c_Deriv_Odifferentiable(c_COMBB(X14,X13,X15,X15,X15),X12,X15)
      | ~ c_Deriv_Odifferentiable(X13,X12,X15)
      | ~ c_Deriv_Odifferentiable(X14,hAPP(X13,X12),X15) ),
    inference(variable_rename,[status(thm)],[c_0_446]) ).

fof(c_0_804,plain,
    ! [X20,X21,X22] :
      ( ~ class_RealVector_Oreal__normed__algebra(X22)
      | c_Lim_OisCont(c_COMBC(c_HOL_Otimes__class_Otimes(X22),X20,X22,X22,X22),X21,X22,X22) ),
    inference(variable_rename,[status(thm)],[c_0_447]) ).

fof(c_0_805,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ class_RealVector_Oreal__normed__vector(X19)
      | ~ class_RealVector_Oreal__normed__vector(X18)
      | c_Series_Osums(c_COMBB(X15,X17,X19,X18,tc_nat),hAPP(X15,X16),X18)
      | ~ c_Series_Osums(X17,X16,X19)
      | ~ c_RealVector_Obounded__linear(X15,X19,X18) ),
    inference(variable_rename,[status(thm)],[c_0_448]) ).

fof(c_0_806,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ class_RealVector_Oreal__normed__vector(X19)
      | ~ class_RealVector_Oreal__normed__vector(X18)
      | c_SEQ_OLIMSEQ(c_COMBB(X15,X17,X19,X18,tc_nat),hAPP(X15,X16),X18)
      | ~ c_SEQ_OLIMSEQ(X17,X16,X19)
      | ~ c_RealVector_Obounded__linear(X15,X19,X18) ),
    inference(variable_rename,[status(thm)],[c_0_449]) ).

fof(c_0_807,plain,
    ! [X9,X10,X11] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X11)
      | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Oinverse__class_Oinverse(X11),X10,X11,X11,tc_nat),hAPP(c_HOL_Oinverse__class_Oinverse(X11),X9),X11)
      | X9 = c_HOL_Ozero__class_Ozero(X11)
      | ~ c_SEQ_OLIMSEQ(X10,X9,X11) ),
    inference(variable_rename,[status(thm)],[c_0_450]) ).

fof(c_0_808,plain,
    ! [X9,X10,X11] :
      ( ~ class_RealVector_Oreal__normed__vector(X11)
      | ~ class_RealVector_Oreal__algebra__1(X11)
      | c_Series_Osums(c_COMBB(c_RealVector_Oof__real(X11),X10,tc_RealDef_Oreal,X11,tc_nat),hAPP(c_RealVector_Oof__real(X11),X9),X11)
      | ~ c_Series_Osums(X10,X9,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_451]) ).

fof(c_0_809,plain,
    ! [X9,X10,X11] :
      ( ~ class_RealVector_Oreal__normed__vector(X11)
      | ~ class_RealVector_Oreal__algebra__1(X11)
      | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Oof__real(X11),X10,tc_RealDef_Oreal,X11,tc_nat),hAPP(c_RealVector_Oof__real(X11),X9),X11)
      | ~ c_SEQ_OLIMSEQ(X10,X9,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_452]) ).

fof(c_0_810,plain,
    ! [X9,X10,X11] :
      ( ~ class_RealVector_Oreal__normed__vector(X11)
      | c_Series_Osums(c_COMBB(c_HOL_Ouminus__class_Ouminus(X11),X10,X11,X11,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X11),X9),X11)
      | ~ c_Series_Osums(X10,X9,X11) ),
    inference(variable_rename,[status(thm)],[c_0_453]) ).

fof(c_0_811,plain,
    ! [X9,X10,X11] :
      ( ~ class_RealVector_Oreal__normed__vector(X11)
      | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X11),X10,X11,X11,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X11),X9),X11)
      | ~ c_SEQ_OLIMSEQ(X10,X9,X11) ),
    inference(variable_rename,[status(thm)],[c_0_454]) ).

fof(c_0_812,plain,
    ! [X11,X12,X13] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X13),X11),c_Series_Osuminf(X12,X13)) = c_Series_Osuminf(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X13),X11),X12,X13,X13,tc_nat),X13)
      | ~ c_Series_Osummable(X12,X13) ),
    inference(variable_rename,[status(thm)],[c_0_455]) ).

fof(c_0_813,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X14),X12),c_Series_Osuminf(X13,X14)) = c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X14),X12),X13,X14,X14,tc_nat),X14)
      | ~ c_Series_Osummable(X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_456]) ).

fof(c_0_814,plain,
    ! [X25,X26,X27] :
      ( ~ class_RealVector_Oreal__normed__algebra(X27)
      | c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X27),X26),X25,X27,X27,tc_nat),X27) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X27),X26),c_Series_Osuminf(X25,X27))
      | ~ c_Series_Osummable(X25,X27) ),
    inference(variable_rename,[status(thm)],[c_0_457]) ).

fof(c_0_815,plain,
    ! [X9,X10,X11] :
      ( ~ class_RealVector_Oreal__normed__vector(X11)
      | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X11),X10,X11,tc_RealDef_Oreal,tc_nat),hAPP(c_RealVector_Onorm__class_Onorm(X11),X9),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X10,X9,X11) ),
    inference(variable_rename,[status(thm)],[c_0_458]) ).

fof(c_0_816,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__field(X14)
      | c_Deriv_Odifferentiable(c_COMBB(c_HOL_Oinverse__class_Oinverse(X14),X13,X14,X14,X14),X12,X14)
      | hAPP(X13,X12) = c_HOL_Ozero__class_Ozero(X14)
      | ~ c_Deriv_Odifferentiable(X13,X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_459]) ).

fof(c_0_817,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | ~ class_RealVector_Oreal__normed__vector(X17)
      | hAPP(X15,c_Series_Osuminf(X16,X18)) = c_Series_Osuminf(c_COMBB(X15,X16,X18,X17,tc_nat),X17)
      | ~ c_Series_Osummable(X16,X18)
      | ~ c_RealVector_Obounded__linear(X15,X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_460]) ).

fof(c_0_818,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X4,X5,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_461]) ).

fof(c_0_819,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__field(X14)
      | c_Deriv_Odifferentiable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X14),X13,X14,X14,X14),X12,X14)
      | ~ c_Deriv_Odifferentiable(X13,X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_462]) ).

fof(c_0_820,plain,
    ! [X9,X10] :
      ( c_Series_Osums(c_COMBB(c_Complex_ORe,X10,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X9),tc_RealDef_Oreal)
      | ~ c_Series_Osums(X10,X9,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_463]) ).

fof(c_0_821,plain,
    ! [X9,X10] :
      ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,X10,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X9),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X10,X9,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_464]) ).

fof(c_0_822,plain,
    ! [X9,X10] :
      ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_ORe,X10,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X9),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X10,X9,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_465]) ).

fof(c_0_823,plain,
    ! [X9,X10] :
      ( c_Series_Osums(c_COMBB(c_Complex_OIm,X10,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X9),tc_RealDef_Oreal)
      | ~ c_Series_Osums(X10,X9,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_466]) ).

fof(c_0_824,plain,
    ! [X10,X11,X12] :
      ( ~ class_RealVector_Ometric__space(X12)
      | c_SEQ_OLIMSEQ(c_COMBB(X11,c_Suc,tc_nat,X12,tc_nat),X10,X12)
      | ~ c_SEQ_OLIMSEQ(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_467]) ).

fof(c_0_825,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | ~ class_RealVector_Oreal__normed__vector(X17)
      | c_SEQ_OZseq(c_COMBB(X15,X16,X18,X17,tc_nat),X17)
      | ~ c_SEQ_OZseq(X16,X18)
      | ~ c_RealVector_Obounded__linear(X15,X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_468]) ).

fof(c_0_826,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | ~ class_RealVector_Oreal__normed__vector(X17)
      | c_Series_Osummable(c_COMBB(X15,X16,X18,X17,tc_nat),X17)
      | ~ c_Series_Osummable(X16,X18)
      | ~ c_RealVector_Obounded__linear(X15,X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_469]) ).

fof(c_0_827,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_RealVector_Ometric__space(X18)
      | ~ class_RealVector_Ometric__space(X17)
      | c_SEQ_OCauchy(c_COMBB(X15,X16,X18,X17,tc_nat),X17)
      | ~ c_SEQ_OCauchy(X16,X18)
      | ~ c_Lim_OisUCont(X15,X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_470]) ).

fof(c_0_828,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | ~ class_RealVector_Oreal__normed__vector(X17)
      | c_SEQ_OCauchy(c_COMBB(X15,X16,X18,X17,tc_nat),X17)
      | ~ c_SEQ_OCauchy(X16,X18)
      | ~ c_RealVector_Obounded__linear(X15,X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_471]) ).

fof(c_0_829,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | c_SEQ_OCauchy(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X14),X12),X13,X14,X14,tc_nat),X14)
      | ~ c_SEQ_OCauchy(X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_472]) ).

fof(c_0_830,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | c_SEQ_OZseq(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X14),X12),X13,X14,X14,tc_nat),X14)
      | ~ c_SEQ_OZseq(X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_473]) ).

fof(c_0_831,plain,
    ! [X9,X10,X11] :
      ( ~ class_RealVector_Oreal__normed__algebra(X11)
      | c_SEQ_OZseq(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X11),X9),X10,X11,X11,tc_nat),X11)
      | ~ c_SEQ_OZseq(X10,X11) ),
    inference(variable_rename,[status(thm)],[c_0_474]) ).

fof(c_0_832,plain,
    ! [X11,X12,X13] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Series_Osummable(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X13),X11),X12,X13,X13,tc_nat),X13)
      | ~ c_Series_Osummable(X12,X13) ),
    inference(variable_rename,[status(thm)],[c_0_475]) ).

fof(c_0_833,plain,
    ! [X25,X26,X27] :
      ( ~ class_RealVector_Oreal__normed__algebra(X27)
      | c_Series_Osummable(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X27),X26),X25,X27,X27,tc_nat),X27)
      | ~ c_Series_Osummable(X25,X27) ),
    inference(variable_rename,[status(thm)],[c_0_476]) ).

fof(c_0_834,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | c_Series_Osummable(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X14),X12),X13,X14,X14,tc_nat),X14)
      | ~ c_Series_Osummable(X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_477]) ).

fof(c_0_835,plain,
    ! [X11,X12,X13] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | c_SEQ_OZseq(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X13),X11),X12,X13,X13,tc_nat),X13)
      | ~ c_SEQ_OZseq(X12,X13) ),
    inference(variable_rename,[status(thm)],[c_0_478]) ).

fof(c_0_836,plain,
    ! [X9,X10,X11] :
      ( ~ class_RealVector_Oreal__normed__vector(X11)
      | c_SEQ_OZseq(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X11),X9),X10,X11,X11,tc_nat),X11)
      | ~ c_SEQ_OZseq(X10,X11) ),
    inference(variable_rename,[status(thm)],[c_0_479]) ).

fof(c_0_837,plain,
    ! [X11,X12,X13] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | c_SEQ_OCauchy(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X13),X11),X12,X13,X13,tc_nat),X13)
      | ~ c_SEQ_OCauchy(X12,X13) ),
    inference(variable_rename,[status(thm)],[c_0_480]) ).

fof(c_0_838,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_Series_Osuminf(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X4,X5,X5,tc_nat),X5) = hAPP(c_HOL_Ouminus__class_Ouminus(X5),c_Series_Osuminf(X4,X5))
      | ~ c_Series_Osummable(X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_481]) ).

fof(c_0_839,plain,
    ! [X8,X9] :
      ( ~ class_RealVector_Oreal__normed__vector(X9)
      | c_SEQ_Olim(c_COMBB(c_HOL_Ouminus__class_Ouminus(X9),X8,X9,X9,tc_nat),X9) = hAPP(c_HOL_Ouminus__class_Ouminus(X9),c_SEQ_Olim(X8,X9))
      | ~ c_SEQ_Oconvergent(X8,X9) ),
    inference(variable_rename,[status(thm)],[c_0_482]) ).

fof(c_0_840,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | ~ class_RealVector_Oreal__algebra__1(X5)
      | hAPP(c_RealVector_Oof__real(X5),c_Series_Osuminf(X4,tc_RealDef_Oreal)) = c_Series_Osuminf(c_COMBB(c_RealVector_Oof__real(X5),X4,tc_RealDef_Oreal,X5,tc_nat),X5)
      | ~ c_Series_Osummable(X4,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_483]) ).

fof(c_0_841,plain,
    ! [X13,X14] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | c_RealVector_Obounded__linear(c_COMBC(c_HOL_Otimes__class_Otimes(X14),X13,X14,X14,X14),X14,X14) ),
    inference(variable_rename,[status(thm)],[c_0_484]) ).

fof(c_0_842,plain,
    ! [X20,X21] :
      ( ~ class_RealVector_Oreal__normed__algebra(X21)
      | c_Lim_OisUCont(c_COMBC(c_HOL_Otimes__class_Otimes(X21),X20,X21,X21,X21),X21,X21) ),
    inference(variable_rename,[status(thm)],[c_0_485]) ).

fof(c_0_843,plain,
    ! [X3] :
      ( hAPP(c_Complex_ORe,c_Series_Osuminf(X3,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(c_Complex_ORe,X3,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(X3,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_486]) ).

fof(c_0_844,plain,
    ! [X3] :
      ( hAPP(c_Complex_OIm,c_Series_Osuminf(X3,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(c_Complex_OIm,X3,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(X3,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_487]) ).

fof(c_0_845,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | ~ class_RealVector_Oreal__algebra__1(X5)
      | c_SEQ_OCauchy(c_COMBB(c_RealVector_Oof__real(X5),X4,tc_RealDef_Oreal,X5,tc_nat),X5)
      | ~ c_SEQ_OCauchy(X4,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_488]) ).

fof(c_0_846,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | ~ class_RealVector_Oreal__algebra__1(X5)
      | c_Series_Osummable(c_COMBB(c_RealVector_Oof__real(X5),X4,tc_RealDef_Oreal,X5,tc_nat),X5)
      | ~ c_Series_Osummable(X4,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_489]) ).

fof(c_0_847,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | ~ class_RealVector_Oreal__algebra__1(X5)
      | c_SEQ_OZseq(c_COMBB(c_RealVector_Oof__real(X5),X4,tc_RealDef_Oreal,X5,tc_nat),X5)
      | ~ c_SEQ_OZseq(X4,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_490]) ).

fof(c_0_848,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_SEQ_OZseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X4,X5,X5,tc_nat),X5)
      | ~ c_SEQ_OZseq(X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_491]) ).

fof(c_0_849,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_Series_Osummable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X4,X5,X5,tc_nat),X5)
      | ~ c_Series_Osummable(X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_492]) ).

fof(c_0_850,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_SEQ_Oconvergent(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X4,X5,X5,tc_nat),X5)
      | ~ c_SEQ_Oconvergent(X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_493]) ).

fof(c_0_851,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X4,X5,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OZseq(X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_494]) ).

fof(c_0_852,plain,
    ! [X3] :
      ( c_SEQ_OCauchy(c_COMBB(c_Complex_ORe,X3,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OCauchy(X3,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_495]) ).

fof(c_0_853,plain,
    ! [X3] :
      ( c_SEQ_OZseq(c_COMBB(c_Complex_ORe,X3,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OZseq(X3,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_496]) ).

fof(c_0_854,plain,
    ! [X3] :
      ( c_Series_Osummable(c_COMBB(c_Complex_ORe,X3,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(X3,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_497]) ).

fof(c_0_855,plain,
    ! [X3] :
      ( c_SEQ_OZseq(c_COMBB(c_Complex_OIm,X3,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OZseq(X3,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_498]) ).

fof(c_0_856,plain,
    ! [X3] :
      ( c_SEQ_OCauchy(c_COMBB(c_Complex_OIm,X3,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OCauchy(X3,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_499]) ).

fof(c_0_857,plain,
    ! [X3] :
      ( c_Series_Osummable(c_COMBB(c_Complex_OIm,X3,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(X3,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_500]) ).

fof(c_0_858,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_RealVector_Ometric__space(X18)
      | ~ class_RealVector_Ometric__space(X17)
      | c_Lim_OisCont(X15,X16,X18,X17)
      | ~ c_Lim_OLIM(X15,X16,hAPP(X15,X16),X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_501]) ).

fof(c_0_859,plain,
    ! [X19,X20,X21,X22] :
      ( ~ class_RealVector_Ometric__space(X22)
      | ~ class_HOL_Ozero(X22)
      | ~ class_RealVector_Oreal__normed__algebra__1(X21)
      | ~ c_Lim_OLIM(c_COMBK(X19,X22,X21),X20,c_HOL_Ozero__class_Ozero(X22),X21,X22)
      | X19 = c_HOL_Ozero__class_Ozero(X22) ),
    inference(variable_rename,[status(thm)],[c_0_502]) ).

fof(c_0_860,plain,
    ! [X19,X20,X21,X22,X23] :
      ( ~ class_RealVector_Ometric__space(X23)
      | ~ class_RealVector_Oreal__normed__algebra__1(X22)
      | ~ c_Lim_OLIM(c_COMBK(X19,X23,X22),X20,X21,X22,X23)
      | X19 = X21 ),
    inference(variable_rename,[status(thm)],[c_0_503]) ).

fof(c_0_861,plain,
    ! [X19,X20,X21,X22,X23] :
      ( ~ class_RealVector_Ometric__space(X22)
      | ~ class_RealVector_Oreal__normed__algebra__1(X23)
      | X19 = X21
      | ~ c_Lim_OLIM(c_COMBK(X19,X22,X23),X20,X21,X23,X22) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_504])])]) ).

fof(c_0_862,plain,
    ! [X33,X34,X35,X36,X37] :
      ( ~ class_Ring__and__Field_Osemiring(X37)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X37),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X37),X36),X33)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X37),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X37),X35),X33)),X34)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X37),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X37),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X37),X36),X35)),X33)),X34) ),
    inference(variable_rename,[status(thm)],[c_0_505]) ).

fof(c_0_863,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_RealVector_Ometric__space(X18)
      | ~ class_RealVector_Ometric__space(X17)
      | c_Lim_OLIM(X15,X16,hAPP(X15,X16),X18,X17)
      | ~ c_Lim_OisCont(X15,X16,X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_506]) ).

fof(c_0_864,plain,
    ! [X13,X14,X15] :
      ( ~ class_Ring__and__Field_Ofield(X15)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X15),hAPP(c_HOL_Oinverse__class_Oinverse(X15),X14)),hAPP(c_HOL_Oinverse__class_Oinverse(X15),X13)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X15),X14),X13)),hAPP(c_HOL_Oinverse__class_Oinverse(X15),X14))),hAPP(c_HOL_Oinverse__class_Oinverse(X15),X13))
      | X13 = c_HOL_Ozero__class_Ozero(X15)
      | X14 = c_HOL_Ozero__class_Ozero(X15) ),
    inference(variable_rename,[status(thm)],[c_0_507]) ).

fof(c_0_865,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | c_Lim_OLIM(hAPP(c_HOL_Otimes__class_Otimes(X14),X12),X13,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X14),X12),X13),X14,X14) ),
    inference(variable_rename,[status(thm)],[c_0_508]) ).

fof(c_0_866,plain,
    ! [X11,X12,X13] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Lim_OLIM(hAPP(c_RealVector_OscaleR__class_OscaleR(X13),X11),X12,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X13),X11),X12),X13,X13) ),
    inference(variable_rename,[status(thm)],[c_0_509]) ).

fof(c_0_867,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | ~ class_RealVector_Oreal__normed__vector(X17)
      | c_Lim_OLIM(X15,X16,hAPP(X15,X16),X18,X17)
      | ~ c_RealVector_Obounded__linear(X15,X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_510]) ).

fof(c_0_868,plain,
    ! [X19,X20,X21,X22] :
      ( ~ class_RealVector_Ometric__space(X21)
      | ~ class_RealVector_Ometric__space(X22)
      | c_Lim_OLIM(c_COMBK(X20,X21,X22),X19,X20,X22,X21) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_511])])]) ).

fof(c_0_869,plain,
    ! [X19,X20,X21,X22] :
      ( ~ class_RealVector_Otopological__space(X21)
      | c_Limits_Otendsto(c_COMBK(X20,X21,X22),X20,X19,X22,X21) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_512])])]) ).

fof(c_0_870,plain,
    ! [X9,X10] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X10)
      | c_Lim_OLIM(c_HOL_Oinverse__class_Oinverse(X10),X9,hAPP(c_HOL_Oinverse__class_Oinverse(X10),X9),X10,X10)
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_513]) ).

fof(c_0_871,plain,
    ! [X13,X14,X15] :
      ( ~ class_Ring__and__Field_Odivision__ring(X15)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X15),hAPP(c_HOL_Oinverse__class_Oinverse(X15),X14)),hAPP(c_HOL_Oinverse__class_Oinverse(X15),X13)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),hAPP(c_HOL_Oinverse__class_Oinverse(X15),X14)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X15),X14),X13))),hAPP(c_HOL_Oinverse__class_Oinverse(X15),X13))
      | X13 = c_HOL_Ozero__class_Ozero(X15)
      | X14 = c_HOL_Ozero__class_Ozero(X15) ),
    inference(variable_rename,[status(thm)],[c_0_514]) ).

fof(c_0_872,plain,
    ! [X25,X26,X27,X28,X29] :
      ( ~ class_Ring__and__Field_Oidom(X29)
      | ~ class_Int_Onumber__ring(X29)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X29),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X29),X28),X26)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X29),X27),X25)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X29),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X29),X28),X25)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X29),X27),X26))
      | X26 = X25
      | X28 = X27 ),
    inference(variable_rename,[status(thm)],[c_0_515]) ).

fof(c_0_873,plain,
    ! [X23,X24,X25,X26,X27] :
      ( ~ class_Ring__and__Field_Oidom(X27)
      | ~ class_Int_Onumber__ring(X27)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X27),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X27),X26),X24)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X27),X25),X23)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X27),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X27),X26),X23)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X27),X25),X24))
      | X24 = X23
      | X26 = X25 ),
    inference(variable_rename,[status(thm)],[c_0_516]) ).

fof(c_0_874,plain,
    ! [X41,X42,X43,X44,X45] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X45)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X45),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X45),X44),X43)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X45),X42),X41)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X45),X42),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X45),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X45),X44),X43)),X41)) ),
    inference(variable_rename,[status(thm)],[c_0_517]) ).

fof(c_0_875,plain,
    ! [X22,X23,X24,X25] :
      ( ~ class_Ring__and__Field_Oidom(X25)
      | ~ class_Int_Onumber__ring(X25)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X25),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X25),X24),X23)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X25),X24),X22)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X25),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X25),X24),X22)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X25),X24),X23)) ),
    inference(variable_rename,[status(thm)],[c_0_518]) ).

fof(c_0_876,plain,
    ! [X25,X26,X27,X28] :
      ( ~ class_Ring__and__Field_Oidom(X28)
      | ~ class_Int_Onumber__ring(X28)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X28),X25),X27)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X28),X25),X26)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X28),X25),X26)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X28),X25),X27)) ),
    inference(variable_rename,[status(thm)],[c_0_519]) ).

fof(c_0_877,plain,
    ! [X41,X42,X43,X44,X45] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X45)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X45),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X45),X44),X43)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X45),X42),X41)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X45),X44),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X45),X43),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X45),X42),X41))) ),
    inference(variable_rename,[status(thm)],[c_0_520]) ).

fof(c_0_878,plain,
    ! [X41,X42,X43,X44,X45] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X45)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X45),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X45),X44),X43)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X45),X42),X41)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X45),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X45),X44),X42)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X45),X43),X41)) ),
    inference(variable_rename,[status(thm)],[c_0_521]) ).

fof(c_0_879,plain,
    ! [X25,X26,X27,X28,X29] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X29)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X29),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X29),X28),X27)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X29),X26),X25)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X29),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X29),X28),X26)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X29),X27),X25)) ),
    inference(variable_rename,[status(thm)],[c_0_522]) ).

fof(c_0_880,plain,
    ! [X25,X26,X27,X28] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X28)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X28),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X27),X26)),X25) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X28),X27),X25)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X28),X26),X25)) ),
    inference(variable_rename,[status(thm)],[c_0_523]) ).

fof(c_0_881,plain,
    ! [X37,X38,X39,X40] :
      ( ~ class_RealVector_Oreal__normed__algebra(X40)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X40),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X40),X39),X38)),X37) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X40),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X40),X39),X37)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X40),X38),X37)) ),
    inference(variable_rename,[status(thm)],[c_0_524]) ).

fof(c_0_882,plain,
    ! [X36,X37,X38,X39] :
      ( ~ class_RealVector_Oreal__normed__algebra(X39)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X39),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X39),X38),X37)),X36) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X39),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X39),X38),X36)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X39),X37),X36)) ),
    inference(variable_rename,[status(thm)],[c_0_525]) ).

fof(c_0_883,plain,
    ! [X25,X26,X27,X28] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X28)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X28),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X27),X26)),X25) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X28),X27),X25)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X28),X26),X25)) ),
    inference(variable_rename,[status(thm)],[c_0_526]) ).

fof(c_0_884,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X38)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X38),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X38),X37),X35)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X38),X36),X35)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X38),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X38),X37),X36)),X35) ),
    inference(variable_rename,[status(thm)],[c_0_527]) ).

fof(c_0_885,plain,
    ! [X20,X21,X22] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X22)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X22),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X22),X21),X21)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X22),X20),X20)) != c_HOL_Ozero__class_Ozero(X22)
      | X21 = c_HOL_Ozero__class_Ozero(X22) ),
    inference(variable_rename,[status(thm)],[c_0_528]) ).

fof(c_0_886,plain,
    ! [X20,X21,X22] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X22)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X22),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X22),X21),X21)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X22),X20),X20)) != c_HOL_Ozero__class_Ozero(X22)
      | X20 = c_HOL_Ozero__class_Ozero(X22) ),
    inference(variable_rename,[status(thm)],[c_0_529]) ).

fof(c_0_887,plain,
    ! [X41,X42,X43,X44] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X44)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X44),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X44),X43),X42)),X41) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X44),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X44),X43),X41)),X42) ),
    inference(variable_rename,[status(thm)],[c_0_530]) ).

fof(c_0_888,plain,
    ! [X31,X32,X33,X34] :
      ( ~ class_RealVector_Oreal__normed__algebra(X34)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X34),X32),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X34),X33),X31)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X34),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X34),X32),X33)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X34),X32),X31)) ),
    inference(variable_rename,[status(thm)],[c_0_531]) ).

fof(c_0_889,plain,
    ! [X32,X33,X34,X35] :
      ( ~ class_RealVector_Oreal__normed__algebra(X35)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X35),X34),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X35),X33),X32)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X35),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X35),X34),X33)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X35),X34),X32)) ),
    inference(variable_rename,[status(thm)],[c_0_532]) ).

fof(c_0_890,plain,
    ! [X22,X23,X24,X25] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X25)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X25),X24),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X25),X23),X22)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X25),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X25),X24),X23)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X25),X24),X22)) ),
    inference(variable_rename,[status(thm)],[c_0_533]) ).

fof(c_0_891,plain,
    ! [X25,X26,X27,X28] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X28)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X27),X26)),X25) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X27),X25)),X26) ),
    inference(variable_rename,[status(thm)],[c_0_534]) ).

fof(c_0_892,plain,
    ! [X20,X21,X22,X23] :
      ( ~ class_RealVector_Oreal__vector(X23)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X23),X22),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X23),X21),X20)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X23),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X23),X22),X21)),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X23),X22),X20)) ),
    inference(variable_rename,[status(thm)],[c_0_535]) ).

fof(c_0_893,plain,
    ! [X32,X33,X34,X35] :
      ( ~ class_RealVector_Oreal__normed__vector(X35)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X35),X34),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X35),X33),X32)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X35),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X35),X34),X33)),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X35),X34),X32)) ),
    inference(variable_rename,[status(thm)],[c_0_536]) ).

fof(c_0_894,plain,
    ! [X25,X26,X27,X28,X29] :
      ( ~ class_Ring__and__Field_Oidom(X29)
      | ~ class_Int_Onumber__ring(X29)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X29),X25),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X29),X26),X28)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X29),X25),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X29),X26),X27))
      | X28 = X27
      | X26 = c_HOL_Ozero__class_Ozero(X29) ),
    inference(variable_rename,[status(thm)],[c_0_537]) ).

fof(c_0_895,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),c_HOL_Ozero__class_Ozero(X4)),c_HOL_Ozero__class_Ozero(X4))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),c_HOL_Ozero__class_Ozero(X4)),c_HOL_Ozero__class_Ozero(X4))) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_538]) ).

fof(c_0_896,plain,
    ! [X25,X26,X27,X28] :
      ( ~ class_OrderedGroup_Oab__semigroup__mult(X28)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X28),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X28),X27),X26)),X25) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X28),X27),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X28),X26),X25)) ),
    inference(variable_rename,[status(thm)],[c_0_539]) ).

fof(c_0_897,plain,
    ! [X41,X42,X43,X44] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X44)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X44),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X44),X43),X42)),X41) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X44),X43),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X44),X42),X41)) ),
    inference(variable_rename,[status(thm)],[c_0_540]) ).

fof(c_0_898,plain,
    ! [X40,X41,X42,X43] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X43)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X43),X42),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X43),X41),X40)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X43),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X43),X42),X41)),X40) ),
    inference(variable_rename,[status(thm)],[c_0_541]) ).

fof(c_0_899,plain,
    ! [X22,X23,X24,X25] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X25)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X25),X24),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X25),X23),X22)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X25),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X25),X24),X23)),X22) ),
    inference(variable_rename,[status(thm)],[c_0_542]) ).

fof(c_0_900,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_RealVector_Oreal__normed__algebra(X16)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X16),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X16),X13),X15)),X14) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X16),X13),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X16),X15),X14)) ),
    inference(variable_rename,[status(thm)],[c_0_543]) ).

fof(c_0_901,plain,
    ! [X20,X21,X22,X23] :
      ( ~ class_RealVector_Oreal__normed__algebra(X23)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X23),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X23),X22),X21)),X20) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X23),X22),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X23),X21),X20)) ),
    inference(variable_rename,[status(thm)],[c_0_544]) ).

fof(c_0_902,plain,
    ! [X25,X26,X27,X28] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X28)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X27),X26)),X25) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X27),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X26),X25)) ),
    inference(variable_rename,[status(thm)],[c_0_545]) ).

fof(c_0_903,plain,
    ! [X22,X23,X24,X25] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X25)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X25),X24),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X25),X23),X22)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X25),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X25),X24),X23)),X22) ),
    inference(variable_rename,[status(thm)],[c_0_546]) ).

fof(c_0_904,plain,
    ! [X25,X26,X27,X28] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X28)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X27),X26)),X25) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X27),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X26),X25)) ),
    inference(variable_rename,[status(thm)],[c_0_547]) ).

fof(c_0_905,plain,
    ! [X25,X26,X27,X28] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X28)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X27),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X26),X25)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X27),X26)),X25) ),
    inference(variable_rename,[status(thm)],[c_0_548]) ).

fof(c_0_906,plain,
    ! [X25,X26,X27,X28] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X28)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X27),X26)),X25) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X27),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X26),X25)) ),
    inference(variable_rename,[status(thm)],[c_0_549]) ).

fof(c_0_907,plain,
    ! [X20,X21,X22,X23] :
      ( ~ class_RealVector_Oreal__algebra(X23)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X23),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X23),X22),X21)),X20) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X23),X22),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X23),X21),X20)) ),
    inference(variable_rename,[status(thm)],[c_0_550]) ).

fof(c_0_908,plain,
    ! [X30,X31,X32,X33,X34] :
      ( ~ class_OrderedGroup_Oab__group__add(X34)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X34),X32),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X34),X31),X30)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X34),X31),X33)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X34),X32),X30) = X33 ),
    inference(variable_rename,[status(thm)],[c_0_551]) ).

fof(c_0_909,plain,
    ! [X26,X27,X28] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X28)
      | c_Finite__Set_Osetsum(c_COMBK(c_HOL_Ozero__class_Ozero(X28),X28,X27),X26,X27,X28) = c_HOL_Ozero__class_Ozero(X28) ),
    inference(variable_rename,[status(thm)],[c_0_552]) ).

fof(c_0_910,plain,
    ! [X16,X17,X18] :
      ( ~ class_RealVector_Oreal__normed__vector(X17)
      | c_Limits_OZfun(c_COMBK(c_HOL_Ozero__class_Ozero(X17),X17,X18),X16,X18,X17) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_553])])]) ).

fof(c_0_911,plain,
    ! [X19,X20,X21,X22] :
      ( ~ class_RealVector_Ometric__space(X22)
      | ~ class_RealVector_Ometric__space(X21)
      | c_Lim_OisCont(c_COMBK(X19,X21,X22),X20,X22,X21) ),
    inference(variable_rename,[status(thm)],[c_0_554]) ).

fof(c_0_912,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_RealVector_Ometric__space(X18)
      | ~ class_RealVector_Ometric__space(X17)
      | c_Lim_OisCont(X16,X15,X18,X17)
      | ~ c_Lim_OisUCont(X16,X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_555]) ).

fof(c_0_913,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | ~ class_RealVector_Oreal__normed__vector(X17)
      | c_Lim_OisCont(X15,X16,X18,X17)
      | ~ c_RealVector_Obounded__linear(X15,X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_556]) ).

fof(c_0_914,plain,
    ! [X40,X41,X42,X43] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X43)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X43),X42),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X43),X41),X40)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X43),X41),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X43),X42),X40)) ),
    inference(variable_rename,[status(thm)],[c_0_557]) ).

fof(c_0_915,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_RealVector_Oreal__normed__algebra(X16)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X16),X15),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X16),X13),X14)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X16),X13),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X16),X15),X14)) ),
    inference(variable_rename,[status(thm)],[c_0_558]) ).

fof(c_0_916,plain,
    ! [X25,X26,X27,X28] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X28)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X27),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X26),X25)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X26),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X27),X25)) ),
    inference(variable_rename,[status(thm)],[c_0_559]) ).

fof(c_0_917,plain,
    ! [X22,X23,X24,X25] :
      ( ~ class_OrderedGroup_Oab__group__add(X25)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X25),X24),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X25),X23),X22)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X25),X23),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X25),X24),X22)) ),
    inference(variable_rename,[status(thm)],[c_0_560]) ).

fof(c_0_918,plain,
    ! [X25,X26,X27,X28] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X28)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X27),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X26),X25)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X26),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X27),X25)) ),
    inference(variable_rename,[status(thm)],[c_0_561]) ).

fof(c_0_919,plain,
    ! [X31,X32,X33,X34] :
      ( ~ class_RealVector_Oreal__normed__algebra(X34)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X34),X31),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X34),X33),X32)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X34),X33),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X34),X31),X32)) ),
    inference(variable_rename,[status(thm)],[c_0_562]) ).

fof(c_0_920,plain,
    ! [X20,X21,X22,X23] :
      ( ~ class_RealVector_Oreal__algebra(X23)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X23),X21),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X23),X22),X20)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X23),X22),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X23),X21),X20)) ),
    inference(variable_rename,[status(thm)],[c_0_563]) ).

fof(c_0_921,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_RealVector_Oreal__normed__vector(X16)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X16),X15),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X16),X13),X14)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X16),X13),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X16),X15),X14)) ),
    inference(variable_rename,[status(thm)],[c_0_564]) ).

fof(c_0_922,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_RealVector_Oreal__vector(X16)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X16),X15),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X16),X14),X13)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X16),X14),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X16),X15),X13)) ),
    inference(variable_rename,[status(thm)],[c_0_565]) ).

fof(c_0_923,plain,
    ! [X29,X30,X31,X32] :
      ( ~ class_RealVector_Oreal__normed__vector(X32)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X32),X30),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X32),X31),X29)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X32),X31),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X32),X30),X29)) ),
    inference(variable_rename,[status(thm)],[c_0_566]) ).

fof(c_0_924,plain,
    ! [X13,X14,X15] :
      ( ~ class_OrderedGroup_Ogroup__add(X15)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X15),X14),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X15),hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14)),X13)) = X13 ),
    inference(variable_rename,[status(thm)],[c_0_567]) ).

fof(c_0_925,plain,
    ! [X13,X14,X15] :
      ( ~ class_Ring__and__Field_Odivision__ring(X15)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X15),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),X14),X13)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),hAPP(c_HOL_Oinverse__class_Oinverse(X15),X13)),hAPP(c_HOL_Oinverse__class_Oinverse(X15),X14))
      | X13 = c_HOL_Ozero__class_Ozero(X15)
      | X14 = c_HOL_Ozero__class_Ozero(X15) ),
    inference(variable_rename,[status(thm)],[c_0_568]) ).

fof(c_0_926,plain,
    ! [X13,X14,X15] :
      ( ~ class_Ring__and__Field_Ofield(X15)
      | ~ class_Ring__and__Field_Odivision__by__zero(X15)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X15),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),X14),X13)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),hAPP(c_HOL_Oinverse__class_Oinverse(X15),X14)),hAPP(c_HOL_Oinverse__class_Oinverse(X15),X13)) ),
    inference(variable_rename,[status(thm)],[c_0_569]) ).

fof(c_0_927,plain,
    ! [X13,X14,X15] :
      ( ~ class_OrderedGroup_Ogroup__add(X15)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X15),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X15),X14),X13)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X15),hAPP(c_HOL_Ouminus__class_Ouminus(X15),X13)),hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14)) ),
    inference(variable_rename,[status(thm)],[c_0_570]) ).

fof(c_0_928,plain,
    ! [X13,X14,X15] :
      ( ~ class_OrderedGroup_Oab__group__add(X15)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X15),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X15),X14),X13)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X15),hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14)),hAPP(c_HOL_Ouminus__class_Ouminus(X15),X13)) ),
    inference(variable_rename,[status(thm)],[c_0_571]) ).

fof(c_0_929,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ class_RealVector_Oreal__normed__vector(X19)
      | ~ class_RealVector_Oreal__normed__vector(X18)
      | hAPP(X17,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X19),X16),X15)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X18),X16),hAPP(X17,X15))
      | ~ c_RealVector_Obounded__linear(X17,X19,X18) ),
    inference(variable_rename,[status(thm)],[c_0_572]) ).

fof(c_0_930,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | c_Lim_OisCont(hAPP(c_HOL_Otimes__class_Otimes(X14),X12),X13,X14,X14) ),
    inference(variable_rename,[status(thm)],[c_0_573]) ).

fof(c_0_931,plain,
    ! [X11,X12,X13] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Lim_OisCont(hAPP(c_RealVector_OscaleR__class_OscaleR(X13),X11),X12,X13,X13) ),
    inference(variable_rename,[status(thm)],[c_0_574]) ).

fof(c_0_932,plain,
    ! [X22,X23,X24,X25] :
      ( ~ class_OrderedGroup_Oab__group__add(X25)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X25),X24),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X25),X23),X22)) != X23
      | X24 = hAPP(c_HOL_Ouminus__class_Ouminus(X25),X22) ),
    inference(variable_rename,[status(thm)],[c_0_575]) ).

fof(c_0_933,plain,
    ! [X19,X20,X21] :
      ( ~ class_RealVector_Ometric__space(X21)
      | X20 = X19
      | ~ c_SEQ_OLIMSEQ(c_COMBK(X20,X21,tc_nat),X19,X21) ),
    inference(variable_rename,[status(thm)],[c_0_576]) ).

fof(c_0_934,plain,
    ! [X13,X14,X15] :
      ( ~ class_Ring__and__Field_Oring(X15)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X15),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),X14),X13)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14)),X13) ),
    inference(variable_rename,[status(thm)],[c_0_577]) ).

fof(c_0_935,plain,
    ! [X13,X14,X15] :
      ( ~ class_RealVector_Oreal__normed__algebra(X15)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14)),X13) = hAPP(c_HOL_Ouminus__class_Ouminus(X15),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),X14),X13)) ),
    inference(variable_rename,[status(thm)],[c_0_578]) ).

fof(c_0_936,plain,
    ! [X20,X21,X22] :
      ( ~ class_RealVector_Oreal__normed__algebra(X22)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X22),hAPP(c_HOL_Ouminus__class_Ouminus(X22),X21)),X20) = hAPP(c_HOL_Ouminus__class_Ouminus(X22),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X22),X21),X20)) ),
    inference(variable_rename,[status(thm)],[c_0_579]) ).

fof(c_0_937,plain,
    ! [X22,X23,X24] :
      ( ~ class_OrderedGroup_Oab__group__add(X24)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X24),hAPP(c_HOL_Ouminus__class_Ouminus(X24),X22)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X24),X23),X22)) = X23 ),
    inference(variable_rename,[status(thm)],[c_0_580]) ).

fof(c_0_938,plain,
    ! [X13,X14,X15] :
      ( ~ class_OrderedGroup_Ogroup__add(X15)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X15),hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X15),X14),X13)) = X13 ),
    inference(variable_rename,[status(thm)],[c_0_581]) ).

fof(c_0_939,plain,
    ! [X13,X14] :
      ( ~ class_Ring__and__Field_Oidom(X14)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X14),hAPP(c_HOL_Ouminus__class_Ouminus(X14),X13)),hAPP(c_HOL_Ouminus__class_Ouminus(X14),X13)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X14),X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_582]) ).

fof(c_0_940,plain,
    ! [X13,X14,X15] :
      ( ~ class_Ring__and__Field_Oring(X15)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14)),hAPP(c_HOL_Ouminus__class_Ouminus(X15),X13)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),X14),X13) ),
    inference(variable_rename,[status(thm)],[c_0_583]) ).

fof(c_0_941,plain,
    ! [X13,X14,X15] :
      ( ~ class_Ring__and__Field_Oring(X15)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14)),X13) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),X14),hAPP(c_HOL_Ouminus__class_Ouminus(X15),X13)) ),
    inference(variable_rename,[status(thm)],[c_0_584]) ).

fof(c_0_942,plain,
    ! [X13,X14,X15] :
      ( ~ class_Ring__and__Field_Oring(X15)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X15),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),X14),X13)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),X14),hAPP(c_HOL_Ouminus__class_Ouminus(X15),X13)) ),
    inference(variable_rename,[status(thm)],[c_0_585]) ).

fof(c_0_943,plain,
    ! [X13,X14,X15] :
      ( ~ class_RealVector_Oreal__normed__algebra(X15)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),X14),hAPP(c_HOL_Ouminus__class_Ouminus(X15),X13)) = hAPP(c_HOL_Ouminus__class_Ouminus(X15),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),X14),X13)) ),
    inference(variable_rename,[status(thm)],[c_0_586]) ).

fof(c_0_944,plain,
    ! [X31,X32,X33] :
      ( ~ class_RealVector_Oreal__normed__algebra(X33)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X33),X31),hAPP(c_HOL_Ouminus__class_Ouminus(X33),X32)) = hAPP(c_HOL_Ouminus__class_Ouminus(X33),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X33),X31),X32)) ),
    inference(variable_rename,[status(thm)],[c_0_587]) ).

fof(c_0_945,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__vector(X14)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X13),hAPP(c_HOL_Ouminus__class_Ouminus(X14),X12)) = hAPP(c_HOL_Ouminus__class_Ouminus(X14),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X13),X12)) ),
    inference(variable_rename,[status(thm)],[c_0_588]) ).

fof(c_0_946,plain,
    ! [X13,X14,X15] :
      ( ~ class_RealVector_Oreal__normed__vector(X15)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X15),X14),hAPP(c_HOL_Ouminus__class_Ouminus(X15),X13)) = hAPP(c_HOL_Ouminus__class_Ouminus(X15),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X15),X14),X13)) ),
    inference(variable_rename,[status(thm)],[c_0_589]) ).

fof(c_0_947,plain,
    ! [X20,X21,X22] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X22)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X22),X21),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X22),X21),X20)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X22),X21),X20) ),
    inference(variable_rename,[status(thm)],[c_0_590]) ).

fof(c_0_948,plain,
    ! [X19,X20] :
      ( ~ class_RealVector_Oreal__normed__vector(X20)
      | X19 = c_HOL_Ozero__class_Ozero(X20)
      | ~ c_SEQ_OZseq(c_COMBK(X19,X20,tc_nat),X20) ),
    inference(variable_rename,[status(thm)],[c_0_591]) ).

fof(c_0_949,plain,
    ! [X13,X14,X15] :
      ( ~ class_Ring__and__Field_Oidom(X15)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),X14),X14) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),X13),X13)
      | X14 = hAPP(c_HOL_Ouminus__class_Ouminus(X15),X13)
      | X14 = X13 ),
    inference(variable_rename,[status(thm)],[c_0_592]) ).

fof(c_0_950,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__algebra__1(X14)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X13),X12) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X14),hAPP(c_RealVector_Oof__real(X14),X13)),X12) ),
    inference(variable_rename,[status(thm)],[c_0_593]) ).

fof(c_0_951,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_Series_Osums(c_COMBK(c_HOL_Ozero__class_Ozero(X4),X4,tc_nat),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(variable_rename,[status(thm)],[c_0_594]) ).

fof(c_0_952,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_RealVector_Ometric__space(X16)
      | X14 = X13
      | ~ c_SEQ_OLIMSEQ(X15,X13,X16)
      | ~ c_SEQ_OLIMSEQ(X15,X14,X16) ),
    inference(variable_rename,[status(thm)],[c_0_595]) ).

fof(c_0_953,plain,
    ! [X22,X23,X24,X25] :
      ( ~ class_Ring__and__Field_Oidom(X25)
      | ~ class_Int_Onumber__ring(X25)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X25),X24),X23) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X25),X24),X22)
      | X23 = X22 ),
    inference(variable_rename,[status(thm)],[c_0_596]) ).

fof(c_0_954,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_RealVector_Oreal__vector(X16)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X16),X15),X13) != hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X16),X14),X13)
      | X13 = c_HOL_Ozero__class_Ozero(X16)
      | X15 = X14 ),
    inference(variable_rename,[status(thm)],[c_0_597]) ).

fof(c_0_955,plain,
    ! [X20,X21,X22,X23] :
      ( ~ class_RealVector_Oreal__vector(X23)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X23),X22),X21) != hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X23),X22),X20)
      | X22 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X21 = X20 ),
    inference(variable_rename,[status(thm)],[c_0_598]) ).

fof(c_0_956,plain,
    ! [X25,X26,X27,X28] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X28)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X27),X26) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X27),X25)
      | X26 = X25 ),
    inference(variable_rename,[status(thm)],[c_0_599]) ).

fof(c_0_957,plain,
    ! [X25,X26,X27,X28] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X28)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X27),X26) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X27),X25)
      | X26 = X25 ),
    inference(variable_rename,[status(thm)],[c_0_600]) ).

fof(c_0_958,plain,
    ! [X25,X26,X27,X28] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X28)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X26),X27) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X28),X25),X27)
      | X26 = X25 ),
    inference(variable_rename,[status(thm)],[c_0_601]) ).

fof(c_0_959,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__field(X14)
      | c_Deriv_Odifferentiable(c_COMBK(X13,X14,X14),X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_602]) ).

fof(c_0_960,plain,
    ! [X19,X20] :
      ( ~ class_RealVector_Ometric__space(X20)
      | c_SEQ_OLIMSEQ(c_COMBK(X19,X20,tc_nat),X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_603]) ).

fof(c_0_961,plain,
    ! [X12,X13] :
      ( ~ class_RealVector_Ometric__space(X13)
      | c_SEQ_OLIMSEQ(c_COMBK(X12,X13,tc_nat),X12,X13) ),
    inference(variable_rename,[status(thm)],[c_0_604]) ).

fof(c_0_962,plain,
    ! [X15,X16,X17] :
      ( ~ class_RealVector_Oreal__normed__vector(X17)
      | ~ class_RealVector_Oreal__normed__vector(X16)
      | c_Lim_OisUCont(X15,X17,X16)
      | ~ c_RealVector_Obounded__linear(X15,X17,X16) ),
    inference(variable_rename,[status(thm)],[c_0_605]) ).

fof(c_0_963,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Ometric__space(X5)
      | c_SEQ_Oconvergent(X4,X5)
      | ~ c_SEQ_OLIMSEQ(X4,c_SEQ_Olim(X4,X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_606]) ).

fof(c_0_964,plain,
    ! [X35,X36,X37] :
      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X36),X37) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X35),X37)
      | X36 = X35 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_607])])]) ).

fof(c_0_965,plain,
    ! [X35,X36,X37] :
      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X37),X36) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X37),X35)
      | X36 = X35 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_608])])]) ).

fof(c_0_966,plain,
    ! [X22,X23,X24] :
      ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X24),X23) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X24),X22)
      | X23 = X22 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_609])])]) ).

fof(c_0_967,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_Series_Osuminf(c_COMBK(c_HOL_Ozero__class_Ozero(X4),X4,tc_nat),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_610]) ).

fof(c_0_968,plain,
    ! [X13,X14] :
      ( ~ class_OrderedGroup_Ogroup__add(X14)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X14),hAPP(c_HOL_Ouminus__class_Ouminus(X14),X13)),X13) = c_HOL_Ozero__class_Ozero(X14) ),
    inference(variable_rename,[status(thm)],[c_0_611]) ).

fof(c_0_969,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Oab__group__add(X10)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X10),hAPP(c_HOL_Ouminus__class_Ouminus(X10),X9)),X9) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_612]) ).

fof(c_0_970,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Ogroup__add(X10)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X10),hAPP(c_HOL_Ouminus__class_Ouminus(X10),X9)),X9) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_613]) ).

fof(c_0_971,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_Series_Osummable(c_COMBK(c_HOL_Ozero__class_Ozero(X4),X4,tc_nat),X4) ),
    inference(variable_rename,[status(thm)],[c_0_614]) ).

fof(c_0_972,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_SEQ_OZseq(c_COMBK(c_HOL_Ozero__class_Ozero(X4),X4,tc_nat),X4) ),
    inference(variable_rename,[status(thm)],[c_0_615]) ).

fof(c_0_973,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Odivision__ring(X10)
      | ~ class_Ring__and__Field_Odivision__by__zero(X10)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X10),hAPP(c_HOL_Ouminus__class_Ouminus(X10),X9)) = hAPP(c_HOL_Ouminus__class_Ouminus(X10),hAPP(c_HOL_Oinverse__class_Oinverse(X10),X9)) ),
    inference(variable_rename,[status(thm)],[c_0_616]) ).

fof(c_0_974,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Odivision__ring(X10)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X10),hAPP(c_HOL_Ouminus__class_Ouminus(X10),X9)) = hAPP(c_HOL_Ouminus__class_Ouminus(X10),hAPP(c_HOL_Oinverse__class_Oinverse(X10),X9))
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_617]) ).

fof(c_0_975,plain,
    ! [X20,X21,X22] :
      ( ~ class_RealVector_Oreal__vector(X22)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X22),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X21) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X22),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X20) ),
    inference(variable_rename,[status(thm)],[c_0_618]) ).

fof(c_0_976,plain,
    ! [X13,X14,X15] :
      ( ~ class_RealVector_Oreal__vector(X15)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X15),X14),c_HOL_Ozero__class_Ozero(X15)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X15),X13),c_HOL_Ozero__class_Ozero(X15)) ),
    inference(variable_rename,[status(thm)],[c_0_619]) ).

fof(c_0_977,plain,
    ! [X13,X14,X15] :
      ( ~ class_OrderedGroup_Ogroup__add(X15)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X15),X14),X13) != c_HOL_Ozero__class_Ozero(X15)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14) = X13 ),
    inference(variable_rename,[status(thm)],[c_0_620]) ).

fof(c_0_978,plain,
    ! [X13,X14,X15] :
      ( ~ class_OrderedGroup_Ogroup__add(X15)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X15),X14),X13) != c_HOL_Ozero__class_Ozero(X15)
      | X14 = hAPP(c_HOL_Ouminus__class_Ouminus(X15),X13) ),
    inference(variable_rename,[status(thm)],[c_0_621]) ).

fof(c_0_979,plain,
    ! [X20,X21,X22] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X22)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X22),X21),X20) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X22),X20),X21) ),
    inference(variable_rename,[status(thm)],[c_0_622]) ).

fof(c_0_980,plain,
    ! [X13,X14,X15] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X15)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),X14),X13) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),X13),X14) ),
    inference(variable_rename,[status(thm)],[c_0_623]) ).

fof(c_0_981,plain,
    ! [X25,X26,X27] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X27)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X27),X26),X25) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X27),X25),X26) ),
    inference(variable_rename,[status(thm)],[c_0_624]) ).

fof(c_0_982,plain,
    ! [X20,X21,X22] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X22)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X22),X21),X20) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X22),X20),X21) ),
    inference(variable_rename,[status(thm)],[c_0_625]) ).

fof(c_0_983,plain,
    ! [X13,X14,X15] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X15)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X15),X14),X13) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X15),X13),X14) ),
    inference(variable_rename,[status(thm)],[c_0_626]) ).

fof(c_0_984,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Ometric__space(X5)
      | c_SEQ_OLIMSEQ(X4,c_SEQ_Olim(X4,X5),X5)
      | ~ c_SEQ_Oconvergent(X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_627]) ).

fof(c_0_985,plain,
    ! [X10,X11] :
      ( ~ class_RealVector_Oreal__normed__vector(X11)
      | c_Series_Osums(X10,c_Series_Osuminf(X10,X11),X11)
      | ~ c_Series_Osummable(X10,X11) ),
    inference(variable_rename,[status(thm)],[c_0_628]) ).

fof(c_0_986,plain,
    ! [X10,X11] :
      ( ~ class_RealVector_Oreal__normed__vector(X11)
      | ~ c_Series_Osummable(X10,X11)
      | c_Series_Osums(X10,c_Series_Osuminf(X10,X11),X11) ),
    inference(variable_rename,[status(thm)],[c_0_629]) ).

fof(c_0_987,plain,
    ! [X21,X22,X23] :
      ( ~ class_RealVector_Oreal__normed__vector(X23)
      | X21 = c_Series_Osuminf(X22,X23)
      | ~ c_Series_Osums(X22,X21,X23) ),
    inference(variable_rename,[status(thm)],[c_0_630]) ).

fof(c_0_988,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Series_Osuminf(X13,X14) = X12
      | ~ c_Series_Osums(X13,X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_631]) ).

fof(c_0_989,plain,
    ! [X18,X19,X20] :
      ( ~ class_RealVector_Ometric__space(X20)
      | c_SEQ_Olim(X18,X20) = X19
      | ~ c_SEQ_OLIMSEQ(X18,X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_632]) ).

fof(c_0_990,plain,
    ! [X10,X11,X12] :
      ( ~ class_RealVector_Oreal__normed__vector(X12)
      | c_Series_Osummable(X11,X12)
      | ~ c_Series_Osums(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_633]) ).

fof(c_0_991,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Series_Osummable(X13,X14)
      | ~ c_Series_Osums(X13,X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_634]) ).

fof(c_0_992,plain,
    ! [X18,X19,X20] :
      ( ~ class_RealVector_Ometric__space(X20)
      | c_SEQ_Oconvergent(X18,X20)
      | ~ c_SEQ_OLIMSEQ(X18,X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_635]) ).

fof(c_0_993,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Ometric__space(X14)
      | c_SEQ_Oconvergent(X13,X14)
      | ~ c_SEQ_OLIMSEQ(X13,X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_636]) ).

fof(c_0_994,plain,
    ! [X9,X10,X11] :
      ( ~ class_RealVector_Ometric__space(X11)
      | c_SEQ_OCauchy(X10,X11)
      | ~ c_SEQ_OLIMSEQ(X10,X9,X11) ),
    inference(variable_rename,[status(thm)],[c_0_637]) ).

fof(c_0_995,plain,
    ! [X13,X14,X15] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X15)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),X14),X13) != c_HOL_Ozero__class_Ozero(X15)
      | X13 = c_HOL_Ozero__class_Ozero(X15)
      | X14 = c_HOL_Ozero__class_Ozero(X15) ),
    inference(variable_rename,[status(thm)],[c_0_638]) ).

fof(c_0_996,plain,
    ! [X13,X14,X15] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X15)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),X14),X13) != c_HOL_Ozero__class_Ozero(X15)
      | X13 = c_HOL_Ozero__class_Ozero(X15)
      | X14 = c_HOL_Ozero__class_Ozero(X15) ),
    inference(variable_rename,[status(thm)],[c_0_639]) ).

fof(c_0_997,plain,
    ! [X13,X14,X15] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X15)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X15),X14),X13) != c_HOL_Ozero__class_Ozero(X15)
      | X14 = c_HOL_Ozero__class_Ozero(X15)
      | X13 = c_HOL_Ozero__class_Ozero(X15) ),
    inference(variable_rename,[status(thm)],[c_0_640]) ).

fof(c_0_998,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__vector(X14)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),X13),X12) != c_HOL_Ozero__class_Ozero(X14)
      | X12 = c_HOL_Ozero__class_Ozero(X14)
      | X13 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_641]) ).

fof(c_0_999,plain,
    ! [X12,X13,X14] :
      ( ~ class_Ring__and__Field_Oidom(X14)
      | ~ class_Int_Onumber__ring(X14)
      | X12 != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X14),X12),X13)
      | X13 = c_HOL_Ozero__class_Ozero(X14) ),
    inference(variable_rename,[status(thm)],[c_0_642]) ).

fof(c_0_1000,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Ogroup__add(X10)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X10),X9),hAPP(c_HOL_Ouminus__class_Ouminus(X10),X9)) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_643]) ).

fof(c_0_1001,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X10)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X10),X9),X9) != c_HOL_Ozero__class_Ozero(X10)
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_644]) ).

fof(c_0_1002,plain,
    ! [X12,X13] :
      ( ~ class_RealVector_Oreal__normed__algebra(X13)
      | c_Lim_OisUCont(hAPP(c_HOL_Otimes__class_Otimes(X13),X12),X13,X13) ),
    inference(variable_rename,[status(thm)],[c_0_645]) ).

fof(c_0_1003,plain,
    ! [X9,X10] :
      ( ~ class_RealVector_Oreal__normed__algebra(X10)
      | c_RealVector_Obounded__linear(hAPP(c_HOL_Otimes__class_Otimes(X10),X9),X10,X10) ),
    inference(variable_rename,[status(thm)],[c_0_646]) ).

fof(c_0_1004,plain,
    ! [X11,X12] :
      ( ~ class_RealVector_Oreal__normed__vector(X12)
      | c_Lim_OisUCont(hAPP(c_RealVector_OscaleR__class_OscaleR(X12),X11),X12,X12) ),
    inference(variable_rename,[status(thm)],[c_0_647]) ).

fof(c_0_1005,plain,
    ! [X9,X10] :
      ( ~ class_RealVector_Oreal__normed__vector(X10)
      | c_RealVector_Obounded__linear(hAPP(c_RealVector_OscaleR__class_OscaleR(X10),X9),X10,X10) ),
    inference(variable_rename,[status(thm)],[c_0_648]) ).

fof(c_0_1006,plain,
    ! [X10,X11] :
      ( ~ class_RealVector_Oreal__normed__vector(X11)
      | c_SEQ_OLIMSEQ(X10,c_HOL_Ozero__class_Ozero(X11),X11)
      | ~ c_Series_Osummable(X10,X11) ),
    inference(variable_rename,[status(thm)],[c_0_649]) ).

fof(c_0_1007,plain,
    ! [X4,X5,X6] :
      ( X5 = X4
      | ~ c_fequal(X5,X4,X6) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_650])])]) ).

fof(c_0_1008,plain,
    ! [X12,X13] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | hAPP(c_RealVector_Onorm__class_Onorm(X13),hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12)) = hAPP(c_RealVector_Onorm__class_Onorm(X13),X12) ),
    inference(variable_rename,[status(thm)],[c_0_651]) ).

fof(c_0_1009,plain,
    ! [X13,X14,X15] :
      ( ~ class_Ring__and__Field_Odivision__ring(X15)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X15),X14) != hAPP(c_HOL_Oinverse__class_Oinverse(X15),X13)
      | X14 = X13
      | X13 = c_HOL_Ozero__class_Ozero(X15)
      | X14 = c_HOL_Ozero__class_Ozero(X15) ),
    inference(variable_rename,[status(thm)],[c_0_652]) ).

fof(c_0_1010,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),c_HOL_Ozero__class_Ozero(X4)),c_HOL_Ozero__class_Ozero(X4)) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_653]) ).

fof(c_0_1011,plain,
    ! [X20,X21] :
      ( hAPP(c_Complex_OIm,X21) != hAPP(c_Complex_OIm,X20)
      | hAPP(c_Complex_ORe,X21) != hAPP(c_Complex_ORe,X20)
      | X21 = X20 ),
    inference(variable_rename,[status(thm)],[c_0_654]) ).

fof(c_0_1012,plain,
    ! [X13,X14,X15] :
      ( ~ class_Ring__and__Field_Odivision__ring(X15)
      | ~ class_Ring__and__Field_Odivision__by__zero(X15)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X15),X14) != hAPP(c_HOL_Oinverse__class_Oinverse(X15),X13)
      | X14 = X13 ),
    inference(variable_rename,[status(thm)],[c_0_655]) ).

fof(c_0_1013,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X10)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X10),c_HOL_Ozero__class_Ozero(X10)),X9) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_656]) ).

fof(c_0_1014,plain,
    ! [X20,X21] :
      ( ~ class_RealVector_Oreal__normed__algebra(X21)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X21),c_HOL_Ozero__class_Ozero(X21)),X20) = c_HOL_Ozero__class_Ozero(X21) ),
    inference(variable_rename,[status(thm)],[c_0_657]) ).

fof(c_0_1015,plain,
    ! [X13,X14] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X14),c_HOL_Ozero__class_Ozero(X14)),X13) = c_HOL_Ozero__class_Ozero(X14) ),
    inference(variable_rename,[status(thm)],[c_0_658]) ).

fof(c_0_1016,plain,
    ! [X12,X13] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X13)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X13),c_HOL_Ozero__class_Ozero(X13)),X12) = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_659]) ).

fof(c_0_1017,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Omult__zero(X10)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X10),c_HOL_Ozero__class_Ozero(X10)),X9) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_660]) ).

fof(c_0_1018,plain,
    ! [X13,X14] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X14)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X14),c_HOL_Ozero__class_Ozero(X14)),X13) = c_HOL_Ozero__class_Ozero(X14) ),
    inference(variable_rename,[status(thm)],[c_0_661]) ).

fof(c_0_1019,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Odivision__ring(X10)
      | ~ class_Ring__and__Field_Odivision__by__zero(X10)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X10),hAPP(c_HOL_Oinverse__class_Oinverse(X10),X9)) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_662]) ).

fof(c_0_1020,plain,
    ! [X12,X13] :
      ( ~ class_Ring__and__Field_Oidom(X13)
      | ~ class_Int_Onumber__ring(X13)
      | X12 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X13),X12),c_HOL_Ozero__class_Ozero(X13)) ),
    inference(variable_rename,[status(thm)],[c_0_663]) ).

fof(c_0_1021,plain,
    ! [X13,X14,X15] :
      ( ~ class_OrderedGroup_Ogroup__add(X15)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X15),X14) != hAPP(c_HOL_Ouminus__class_Ouminus(X15),X13)
      | X14 = X13 ),
    inference(variable_rename,[status(thm)],[c_0_664]) ).

fof(c_0_1022,plain,
    ! [X20,X21,X22] :
      ( ~ class_Lattices_Oboolean__algebra(X22)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X22),X21) != hAPP(c_HOL_Ouminus__class_Ouminus(X22),X20)
      | X21 = X20 ),
    inference(variable_rename,[status(thm)],[c_0_665]) ).

fof(c_0_1023,plain,
    ! [X20,X21,X22] :
      ( ~ class_RealVector_Oreal__algebra__1(X22)
      | hAPP(c_RealVector_Oof__real(X22),X21) != hAPP(c_RealVector_Oof__real(X22),X20)
      | X21 = X20 ),
    inference(variable_rename,[status(thm)],[c_0_666]) ).

fof(c_0_1024,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Omonoid__add(X10)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X10),c_HOL_Ozero__class_Ozero(X10)),X9) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_667]) ).

fof(c_0_1025,plain,
    ! [X12,X13] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X13)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X13),c_HOL_Ozero__class_Ozero(X13)),X12) = X12 ),
    inference(variable_rename,[status(thm)],[c_0_668]) ).

fof(c_0_1026,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X10)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X10),c_HOL_Ozero__class_Ozero(X10)),X9) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_669]) ).

fof(c_0_1027,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X10)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X10),c_HOL_Ozero__class_Ozero(X10)),X9) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_670]) ).

fof(c_0_1028,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Odivision__ring(X10)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X10),hAPP(c_HOL_Oinverse__class_Oinverse(X10),X9)) = X9
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_671]) ).

fof(c_0_1029,plain,
    ! [X9,X10] :
      ( ~ class_RealVector_Oreal__normed__vector(X10)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X10),X9),c_HOL_Ozero__class_Ozero(X10)) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_672]) ).

fof(c_0_1030,plain,
    ! [X13,X14] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X14),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X13) = c_HOL_Ozero__class_Ozero(X14) ),
    inference(variable_rename,[status(thm)],[c_0_673]) ).

fof(c_0_1031,plain,
    ! [X9,X10] :
      ( ~ class_RealVector_Oreal__vector(X10)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X10),X9),c_HOL_Ozero__class_Ozero(X10)) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_674]) ).

fof(c_0_1032,plain,
    ! [X12,X13] :
      ( ~ class_RealVector_Oreal__vector(X13)
      | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X13),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X12) = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_675]) ).

fof(c_0_1033,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X10)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X10),X9),c_HOL_Ozero__class_Ozero(X10)) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_676]) ).

fof(c_0_1034,plain,
    ! [X9,X10] :
      ( ~ class_RealVector_Oreal__normed__algebra(X10)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X10),X9),c_HOL_Ozero__class_Ozero(X10)) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_677]) ).

fof(c_0_1035,plain,
    ! [X12,X13] :
      ( ~ class_RealVector_Oreal__normed__algebra(X13)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X13),X12),c_HOL_Ozero__class_Ozero(X13)) = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_678]) ).

fof(c_0_1036,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Omult__zero(X10)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X10),X9),c_HOL_Ozero__class_Ozero(X10)) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_679]) ).

fof(c_0_1037,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X10)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X10),X9),c_HOL_Ozero__class_Ozero(X10)) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_680]) ).

fof(c_0_1038,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Omonoid__add(X10)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X10),X9),c_HOL_Ozero__class_Ozero(X10)) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_681]) ).

fof(c_0_1039,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X10)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X10),X9),c_HOL_Ozero__class_Ozero(X10)) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_682]) ).

fof(c_0_1040,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X10)
      | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X10),X9),c_HOL_Ozero__class_Ozero(X10)) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_683]) ).

fof(c_0_1041,plain,
    ! [X13,X14] :
      ( ~ class_OrderedGroup_Ogroup__add(X14)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X14),hAPP(c_HOL_Ouminus__class_Ouminus(X14),X13)) = X13 ),
    inference(variable_rename,[status(thm)],[c_0_684]) ).

fof(c_0_1042,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Ogroup__add(X10)
      | X9 = hAPP(c_HOL_Ouminus__class_Ouminus(X10),hAPP(c_HOL_Ouminus__class_Ouminus(X10),X9)) ),
    inference(variable_rename,[status(thm)],[c_0_685]) ).

fof(c_0_1043,plain,
    ! [X13,X14] :
      ( ~ class_OrderedGroup_Ogroup__add(X14)
      | X13 = hAPP(c_HOL_Ouminus__class_Ouminus(X14),hAPP(c_HOL_Ouminus__class_Ouminus(X14),X13)) ),
    inference(variable_rename,[status(thm)],[c_0_686]) ).

fof(c_0_1044,plain,
    ! [X12,X13] :
      ( ~ class_Lattices_Oboolean__algebra(X13)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X13),hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12)) = X12 ),
    inference(variable_rename,[status(thm)],[c_0_687]) ).

fof(c_0_1045,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Ogroup__add(X10)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X10),hAPP(c_HOL_Ouminus__class_Ouminus(X10),X9)) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_688]) ).

fof(c_0_1046,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X13)
      | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X13),X12),X12) = X12 ),
    inference(variable_rename,[status(thm)],[c_0_689]) ).

fof(c_0_1047,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Odivision__ring(X10)
      | ~ class_Ring__and__Field_Odivision__by__zero(X10)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X10),X9) != c_HOL_Ozero__class_Ozero(X10)
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_690]) ).

fof(c_0_1048,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Ogroup__add(X10)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X10),X9) != c_HOL_Ozero__class_Ozero(X10)
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_691]) ).

fof(c_0_1049,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Ogroup__add(X10)
      | c_HOL_Ozero__class_Ozero(X10) != hAPP(c_HOL_Ouminus__class_Ouminus(X10),X9)
      | c_HOL_Ozero__class_Ozero(X10) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_692]) ).

fof(c_0_1050,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Odivision__ring(X10)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X10),X9) != c_HOL_Ozero__class_Ozero(X10)
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_693]) ).

fof(c_0_1051,plain,
    ! [X12,X13] :
      ( ~ class_RealVector_Oreal__algebra__1(X13)
      | hAPP(c_RealVector_Oof__real(X13),X12) != c_HOL_Ozero__class_Ozero(X13)
      | X12 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_694]) ).

fof(c_0_1052,plain,
    ! [X12,X13] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | hAPP(c_RealVector_Onorm__class_Onorm(X13),X12) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X12 = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_695]) ).

fof(c_0_1053,plain,
    ! [X45,X46,X47,X48] :
      ( c_Complex_Ocomplex_OComplex(X48,X46) != c_Complex_Ocomplex_OComplex(X47,X45)
      | X46 = X45 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_696])])]) ).

fof(c_0_1054,plain,
    ! [X45,X46,X47,X48] :
      ( c_Complex_Ocomplex_OComplex(X48,X46) != c_Complex_Ocomplex_OComplex(X47,X45)
      | X48 = X47 ),
    inference(variable_rename,[status(thm)],[c_0_697]) ).

fof(c_0_1055,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X10)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X10),X9) != X9
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_698]) ).

fof(c_0_1056,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X4),c_HOL_Ozero__class_Ozero(X4)) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_699]) ).

fof(c_0_1057,plain,
    ! [X4,X5] :
      ( ~ class_SEQ_Ocomplete__space(X5)
      | c_SEQ_OCauchy(X4,X5)
      | ~ c_SEQ_Oconvergent(X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_700]) ).

fof(c_0_1058,plain,
    ! [X4,X5] :
      ( ~ class_SEQ_Ocomplete__space(X5)
      | c_SEQ_Oconvergent(X4,X5)
      | ~ c_SEQ_OCauchy(X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_701]) ).

fof(c_0_1059,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Ometric__space(X5)
      | c_SEQ_OCauchy(X4,X5)
      | ~ c_SEQ_Oconvergent(X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_702]) ).

fof(c_0_1060,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | ~ class_RealVector_Oreal__algebra__1(X4)
      | hAPP(c_RealVector_Oof__real(X4),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_703]) ).

fof(c_0_1061,plain,
    ! [X28,X29] :
      ( hAPP(c_Suc,X29) != hAPP(c_Suc,X28)
      | X29 = X28 ),
    inference(variable_rename,[status(thm)],[c_0_704]) ).

fof(c_0_1062,plain,
    ! [X20,X21] :
      ( hAPP(c_Suc,X21) != hAPP(c_Suc,X20)
      | X21 = X20 ),
    inference(variable_rename,[status(thm)],[c_0_705]) ).

fof(c_0_1063,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | hAPP(c_HOL_Oinverse__class_Oinverse(X4),c_HOL_Ozero__class_Ozero(X4)) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_706]) ).

fof(c_0_1064,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ozero__class_Ozero(X4) = hAPP(c_HOL_Ouminus__class_Ouminus(X4),c_HOL_Ozero__class_Ozero(X4)) ),
    inference(variable_rename,[status(thm)],[c_0_707]) ).

fof(c_0_1065,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X4),c_HOL_Ozero__class_Ozero(X4)) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_708]) ).

fof(c_0_1066,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X4),c_HOL_Ozero__class_Ozero(X4)) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_709]) ).

fof(c_0_1067,plain,
    ! [X6,X7] :
      ( class_Lattices_Oboolean__algebra(tc_fun(X6,X7))
      | ~ class_Lattices_Oboolean__algebra(X7) ),
    inference(variable_rename,[status(thm)],[c_0_710]) ).

fof(c_0_1068,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | hAPP(c_RealVector_Onorm__class_Onorm(X4),c_HOL_Ozero__class_Ozero(X4)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_711]) ).

fof(c_0_1069,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__algebra__1(X4)
      | hAPP(c_RealVector_Oof__real(X4),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_712]) ).

fof(c_0_1070,plain,
    ! [X3] :
      ( c_SEQ_Oconvergent(X3,tc_RealDef_Oreal)
      | ~ c_SEQ_OCauchy(X3,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_713]) ).

cnf(c_0_1071,plain,
    ( v_thesis____
    | ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_714]) ).

cnf(c_0_1072,plain,
    ( c_SEQ_OLIMSEQ(X1,X4,X3)
    | ~ c_SEQ_OLIMSEQ(c_COMBB(X1,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),X2,tc_nat,tc_nat,tc_nat),tc_nat,X3,tc_nat),X4,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_715]) ).

cnf(c_0_1073,plain,
    ( c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X5),X1,X5,tc_fun(X5,X5),X4),X6,X4,X5,X5),X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X3),X6),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_716]) ).

cnf(c_0_1074,plain,
    ( c_Limits_Otendsto(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X5),X1,X5,tc_fun(X5,X5),X4),X6,X4,X5,X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X6),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_717]) ).

cnf(c_0_1075,plain,
    ( c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5),X1,tc_RealDef_Oreal,tc_fun(X5,X5),X4),X6,X4,X5,X5),X2,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X3),X6),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_718]) ).

cnf(c_0_1076,plain,
    ( c_Limits_Otendsto(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5),X1,tc_RealDef_Oreal,tc_fun(X5,X5),X4),X6,X4,X5,X5),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X2),X6),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_719]) ).

cnf(c_0_1077,plain,
    ( c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X3),X1,X3,tc_fun(X3,X3),X4),X5,X4,X3,X3),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_720]) ).

cnf(c_0_1078,plain,
    ( c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X3),X1,X3,tc_fun(X3,X3),X4),X5,X4,X3,X3),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_721]) ).

cnf(c_0_1079,plain,
    ( c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4),X1,tc_RealDef_Oreal,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_722]) ).

cnf(c_0_1080,plain,
    ( c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4),X1,tc_RealDef_Oreal,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_723]) ).

cnf(c_0_1081,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Finite__Set_Osetsum(X2,X3,X4,X1)),X5) = c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X1),X2,X1,tc_fun(X1,X1),X4),X5,X4,X1,X1),X3,X4,X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_724]) ).

cnf(c_0_1082,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Finite__Set_Osetsum(X2,X3,X4,X1)),X5) = c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X1),X2,X1,tc_fun(X1,X1),X4),X5,X4,X1,X1),X3,X4,X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_725]) ).

cnf(c_0_1083,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),c_Finite__Set_Osetsum(X2,X3,X4,tc_RealDef_Oreal)),X5) = c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X1),X2,tc_RealDef_Oreal,tc_fun(X1,X1),X4),X5,X4,X1,X1),X3,X4,X1)
    | ~ class_RealVector_Oreal__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_726]) ).

cnf(c_0_1084,plain,
    ( c_Limits_OZfun(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X4),X1,X4,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_727]) ).

cnf(c_0_1085,plain,
    ( c_Limits_OZfun(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X4),X1,X4,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_728]) ).

cnf(c_0_1086,plain,
    ( c_Limits_OZfun(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4),X1,tc_RealDef_Oreal,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_729]) ).

cnf(c_0_1087,plain,
    ( c_Limits_OZfun(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4),X1,tc_RealDef_Oreal,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_730]) ).

cnf(c_0_1088,plain,
    ( c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_731]) ).

cnf(c_0_1089,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(X1,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),X4,tc_nat,tc_nat,tc_nat),tc_nat,X3,tc_nat),X2,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_732]) ).

cnf(c_0_1090,plain,
    ( c_Series_Osummable(c_COMBB(X1,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),X3,tc_nat,tc_nat,tc_nat),tc_nat,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_733]) ).

cnf(c_0_1091,plain,
    ( c_Lim_OLIM(X1,X3,hAPP(X1,X3),X2,X4)
    | ~ c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X2,X4,X2),c_HOL_Ozero__class_Ozero(X2),hAPP(X1,X3),X2,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_734]) ).

cnf(c_0_1092,plain,
    ( c_Lim_OLIM(X1,X3,X5,X2,X4)
    | ~ c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X2,X4,X2),c_HOL_Ozero__class_Ozero(X2),X5,X2,X4)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Ometric__space(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_735]) ).

cnf(c_0_1093,plain,
    ( c_Limits_Otendsto(X2,X4,X5,X3,X1)
    | ~ c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X4),X5,X3,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_736]) ).

cnf(c_0_1094,plain,
    ( c_Lim_OLIM(X2,X4,c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,X3),X4,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_737]) ).

cnf(c_0_1095,plain,
    ( c_Lim_OisCont(X1,X3,X2,X4)
    | ~ c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X2,X4,X2),c_HOL_Ozero__class_Ozero(X2),hAPP(X1,X3),X2,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_738]) ).

cnf(c_0_1096,plain,
    ( c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_739]) ).

cnf(c_0_1097,plain,
    ( c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X5),X6),X1,X5,X5,X4),X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X6),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_740]) ).

cnf(c_0_1098,plain,
    ( c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X6),X1,X5,X5,X4),X2,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X6),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_741]) ).

cnf(c_0_1099,plain,
    ( c_Limits_Otendsto(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X5),X6),X1,X5,X5,X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X6),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_742]) ).

cnf(c_0_1100,plain,
    ( c_Limits_Otendsto(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X6),X1,X5,X5,X4),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X6),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_743]) ).

cnf(c_0_1101,plain,
    ( c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X3,X4,X3),c_HOL_Ozero__class_Ozero(X3),hAPP(X1,X2),X3,X4)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_744]) ).

cnf(c_0_1102,plain,
    ( c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X7),X5,hAPP(X1,X6),X7,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Lim_OLIM(X4,X5,X6,X7,X2)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_745]) ).

cnf(c_0_1103,plain,
    ( c_Limits_Otendsto(c_COMBB(X1,X4,X2,X3,X7),hAPP(X1,X5),X6,X7,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Limits_Otendsto(X4,X5,X6,X7,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_746]) ).

cnf(c_0_1104,plain,
    ( c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X6),X5,c_HOL_Ozero__class_Ozero(X3),X6,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Lim_OLIM(X4,X5,c_HOL_Ozero__class_Ozero(X2),X6,X2)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_747]) ).

cnf(c_0_1105,plain,
    ( c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X5),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_748]) ).

cnf(c_0_1106,plain,
    ( c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X5),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_749]) ).

cnf(c_0_1107,plain,
    ( c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X5),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_750]) ).

cnf(c_0_1108,plain,
    ( c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X5),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_751]) ).

cnf(c_0_1109,plain,
    ( c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X4),X2),X4,X5,X4),c_HOL_Ozero__class_Ozero(X4),X3,X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_RealVector_Ometric__space(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_752]) ).

cnf(c_0_1110,plain,
    ( X3 = c_HOL_Ozero__class_Ozero(X5)
    | c_Lim_OLIM(c_COMBB(c_HOL_Oinverse__class_Oinverse(X5),X1,X5,X5,X4),X2,hAPP(c_HOL_Oinverse__class_Oinverse(X5),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__div__algebra(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_753]) ).

cnf(c_0_1111,plain,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X5),X1,tc_RealDef_Oreal,X5,X4),X2,hAPP(c_RealVector_Oof__real(X5),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__algebra__1(X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_754]) ).

cnf(c_0_1112,plain,
    ( c_Lim_OLIM(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X1,X5,X5,X4),X2,hAPP(c_HOL_Ouminus__class_Ouminus(X5),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_755]) ).

cnf(c_0_1113,plain,
    ( X2 = c_HOL_Ozero__class_Ozero(X5)
    | c_Limits_Otendsto(c_COMBB(c_HOL_Oinverse__class_Oinverse(X5),X1,X5,X5,X4),hAPP(c_HOL_Oinverse__class_Oinverse(X5),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__div__algebra(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_756]) ).

cnf(c_0_1114,plain,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X1,X5,tc_RealDef_Oreal,X4),X2,hAPP(c_RealVector_Onorm__class_Onorm(X5),X3),X4,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_757]) ).

cnf(c_0_1115,plain,
    ( c_Limits_Otendsto(c_COMBB(c_RealVector_Oof__real(X5),X1,tc_RealDef_Oreal,X5,X4),hAPP(c_RealVector_Oof__real(X5),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_758]) ).

cnf(c_0_1116,plain,
    ( c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X1,X5,X5,X4),hAPP(c_HOL_Ouminus__class_Ouminus(X5),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_759]) ).

cnf(c_0_1117,plain,
    ( c_Limits_Otendsto(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X1,X5,tc_RealDef_Oreal,X4),hAPP(c_RealVector_Onorm__class_Onorm(X5),X2),X3,X4,tc_RealDef_Oreal)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_760]) ).

cnf(c_0_1118,plain,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__algebra__1(X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_761]) ).

cnf(c_0_1119,plain,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X1,X3,tc_RealDef_Oreal,X4),X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_762]) ).

cnf(c_0_1120,plain,
    ( c_Lim_OLIM(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),X2,hAPP(c_Complex_ORe,X3),X4,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | ~ class_RealVector_Ometric__space(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_763]) ).

cnf(c_0_1121,plain,
    ( c_Lim_OLIM(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),X2,hAPP(c_Complex_OIm,X3),X4,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | ~ class_RealVector_Ometric__space(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_764]) ).

cnf(c_0_1122,plain,
    ( c_Limits_Otendsto(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),hAPP(c_Complex_ORe,X2),X3,X4,tc_RealDef_Oreal)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_765]) ).

cnf(c_0_1123,plain,
    ( c_Limits_Otendsto(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),hAPP(c_Complex_OIm,X2),X3,X4,tc_RealDef_Oreal)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_766]) ).

cnf(c_0_1124,plain,
    ( hAPP(X6,c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1(X6,X2,X4)) = X2
    | c_SEQ_OLIMSEQ(c_COMBB(X1,X6,X4,X5,tc_nat),X3,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ c_SEQ_OLIMSEQ(X6,X2,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_767]) ).

cnf(c_0_1125,plain,
    ( c_Limits_OZfun(X2,X4,X3,X1)
    | ~ c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,X3),X4,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_768]) ).

cnf(c_0_1126,plain,
    ( c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X3,X4,X3),c_HOL_Ozero__class_Ozero(X3),hAPP(X1,X2),X3,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_769]) ).

cnf(c_0_1127,plain,
    ( c_SEQ_OLIMSEQ(X2,X3,X1)
    | ~ c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_770]) ).

cnf(c_0_1128,plain,
    ( c_SEQ_OLIMSEQ(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_771]) ).

cnf(c_0_1129,plain,
    ( c_SEQ_OLIMSEQ(X1,X3,X2)
    | ~ c_SEQ_OLIMSEQ(c_COMBB(X1,c_Suc,tc_nat,X2,tc_nat),X3,X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_772]) ).

cnf(c_0_1130,plain,
    ( c_SEQ_Oconvergent(X2,X1)
    | ~ c_SEQ_Oconvergent(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,tc_nat),X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_773]) ).

cnf(c_0_1131,plain,
    ( c_Series_Osummable(X2,X1)
    | ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ class_SEQ_Obanach(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_774]) ).

cnf(c_0_1132,plain,
    ( c_SEQ_OZseq(X2,X1)
    | ~ c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_775]) ).

cnf(c_0_1133,plain,
    ( X3 = X6
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X6,X4,X5)
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ class_RealVector_Ometric__space(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_776]) ).

cnf(c_0_1134,plain,
    ( c_Lim_OLIM(c_COMBC(c_HOL_Otimes__class_Otimes(X1),X2,X1,X1,X1),X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2),X1,X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_777]) ).

cnf(c_0_1135,plain,
    ( c_Lim_OisCont(c_COMBB(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ c_Lim_OisCont(X5,hAPP(X1,X2),X4,X6)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_778]) ).

cnf(c_0_1136,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Finite__Set_Osetsum(X3,X4,X5,X1)) = c_Finite__Set_Osetsum(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3,X1,X1,X5),X4,X5,X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_779]) ).

cnf(c_0_1137,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Finite__Set_Osetsum(X3,X4,X5,X1)) = c_Finite__Set_Osetsum(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3,X1,X1,X5),X4,X5,X1)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_780]) ).

cnf(c_0_1138,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),c_Finite__Set_Osetsum(X3,X4,X5,X1)) = c_Finite__Set_Osetsum(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3,X1,X1,X5),X4,X5,X1)
    | ~ class_RealVector_Oreal__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_781]) ).

cnf(c_0_1139,plain,
    ( hAPP(c_RealVector_Oof__real(X1),c_Finite__Set_Osetsum(X2,X3,X4,tc_RealDef_Oreal)) = c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Oof__real(X1),X2,tc_RealDef_Oreal,X1,X4),X3,X4,X1)
    | ~ class_RealVector_Oreal__algebra__1(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_782]) ).

cnf(c_0_1140,plain,
    ( c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,X3),X4,X3,X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Finite__Set_Osetsum(X2,X4,X3,X1))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_783]) ).

cnf(c_0_1141,plain,
    ( c_Limits_OZfun(c_COMBB(X1,X4,X2,X3,X6),X5,X6,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Limits_OZfun(X4,X5,X6,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_784]) ).

cnf(c_0_1142,plain,
    ( c_Limits_OZfun(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X5),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_785]) ).

cnf(c_0_1143,plain,
    ( c_Limits_OZfun(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X5),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_786]) ).

cnf(c_0_1144,plain,
    ( c_Limits_OZfun(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X4),X5),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_787]) ).

cnf(c_0_1145,plain,
    ( c_Limits_OZfun(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X4),X5),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_788]) ).

cnf(c_0_1146,plain,
    ( hAPP(X1,X2) = c_HOL_Ozero__class_Ozero(X4)
    | c_Lim_OisCont(c_COMBB(c_HOL_Oinverse__class_Oinverse(X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__div__algebra(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_789]) ).

cnf(c_0_1147,plain,
    ( c_Lim_OisCont(c_COMBB(c_HOL_Ouminus__class_Ouminus(X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_790]) ).

cnf(c_0_1148,plain,
    ( c_Lim_OisCont(c_COMBB(c_RealVector_Onorm__class_Onorm(X4),X1,X4,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_791]) ).

cnf(c_0_1149,plain,
    ( c_Limits_OZfun(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_792]) ).

cnf(c_0_1150,plain,
    ( c_Lim_OisCont(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,X3,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_793]) ).

cnf(c_0_1151,plain,
    ( c_Limits_OZfun(c_COMBB(c_HOL_Ouminus__class_Ouminus(X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_794]) ).

cnf(c_0_1152,plain,
    ( c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X4),X1,X4,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_795]) ).

cnf(c_0_1153,plain,
    ( c_Limits_OZfun(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_796]) ).

cnf(c_0_1154,plain,
    ( c_Limits_OZfun(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_797]) ).

cnf(c_0_1155,plain,
    ( c_Series_Osums(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X4),X1,X3,X3,tc_nat),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X4),X2),X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_798]) ).

cnf(c_0_1156,plain,
    ( c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X1,X3,X3,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X2),X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_799]) ).

cnf(c_0_1157,plain,
    ( c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X1,X3,X3,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X2),X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_800]) ).

cnf(c_0_1158,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X1,X3,X3,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_801]) ).

cnf(c_0_1159,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X4),X1,X3,X3,tc_nat),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X4),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_802]) ).

cnf(c_0_1160,plain,
    ( c_Deriv_Odifferentiable(c_COMBB(X1,X2,X4,X4,X4),X3,X4)
    | ~ c_Deriv_Odifferentiable(X1,hAPP(X2,X3),X4)
    | ~ c_Deriv_Odifferentiable(X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_803]) ).

cnf(c_0_1161,plain,
    ( c_Lim_OisCont(c_COMBC(c_HOL_Otimes__class_Otimes(X1),X2,X1,X1,X1),X3,X1,X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_804]) ).

cnf(c_0_1162,plain,
    ( c_Series_Osums(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Series_Osums(X4,X5,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_805]) ).

cnf(c_0_1163,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_SEQ_OLIMSEQ(X4,X5,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_806]) ).

cnf(c_0_1164,plain,
    ( X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Oinverse__class_Oinverse(X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__div__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_807]) ).

cnf(c_0_1165,plain,
    ( c_Series_Osums(c_COMBB(c_RealVector_Oof__real(X3),X1,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X2),X3)
    | ~ c_Series_Osums(X1,X2,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_808]) ).

cnf(c_0_1166,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Oof__real(X3),X1,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_809]) ).

cnf(c_0_1167,plain,
    ( c_Series_Osums(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_810]) ).

cnf(c_0_1168,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_811]) ).

cnf(c_0_1169,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),c_Series_Osuminf(X1,X2)) = c_Series_Osuminf(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_812]) ).

cnf(c_0_1170,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Series_Osuminf(X1,X2)) = c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_813]) ).

cnf(c_0_1171,plain,
    ( c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Series_Osuminf(X1,X2))
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_814]) ).

cnf(c_0_1172,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X1,X3,tc_RealDef_Oreal,tc_nat),hAPP(c_RealVector_Onorm__class_Onorm(X3),X2),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_815]) ).

cnf(c_0_1173,plain,
    ( hAPP(X1,X2) = c_HOL_Ozero__class_Ozero(X3)
    | c_Deriv_Odifferentiable(c_COMBB(c_HOL_Oinverse__class_Oinverse(X3),X1,X3,X3,X3),X2,X3)
    | ~ c_Deriv_Odifferentiable(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_816]) ).

cnf(c_0_1174,plain,
    ( hAPP(X1,c_Series_Osuminf(X4,X2)) = c_Series_Osuminf(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Series_Osummable(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_817]) ).

cnf(c_0_1175,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X2),X1,X2,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_818]) ).

cnf(c_0_1176,plain,
    ( c_Deriv_Odifferentiable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,X3),X2,X3)
    | ~ c_Deriv_Odifferentiable(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_819]) ).

cnf(c_0_1177,plain,
    ( c_Series_Osums(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X2),tc_RealDef_Oreal)
    | ~ c_Series_Osums(X1,X2,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_820]) ).

cnf(c_0_1178,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X2),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_821]) ).

cnf(c_0_1179,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X2),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_822]) ).

cnf(c_0_1180,plain,
    ( c_Series_Osums(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X2),tc_RealDef_Oreal)
    | ~ c_Series_Osums(X1,X2,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_823]) ).

cnf(c_0_1181,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(X1,c_Suc,tc_nat,X3,tc_nat),X2,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_824]) ).

cnf(c_0_1182,plain,
    ( c_SEQ_OZseq(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_SEQ_OZseq(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_825]) ).

cnf(c_0_1183,plain,
    ( c_Series_Osummable(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Series_Osummable(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_826]) ).

cnf(c_0_1184,plain,
    ( c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_Lim_OisUCont(X1,X2,X3)
    | ~ c_SEQ_OCauchy(X4,X2)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_827]) ).

cnf(c_0_1185,plain,
    ( c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_SEQ_OCauchy(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_828]) ).

cnf(c_0_1186,plain,
    ( c_SEQ_OCauchy(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OCauchy(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_829]) ).

cnf(c_0_1187,plain,
    ( c_SEQ_OZseq(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_830]) ).

cnf(c_0_1188,plain,
    ( c_SEQ_OZseq(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_831]) ).

cnf(c_0_1189,plain,
    ( c_Series_Osummable(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_832]) ).

cnf(c_0_1190,plain,
    ( c_Series_Osummable(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_833]) ).

cnf(c_0_1191,plain,
    ( c_Series_Osummable(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_834]) ).

cnf(c_0_1192,plain,
    ( c_SEQ_OZseq(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_835]) ).

cnf(c_0_1193,plain,
    ( c_SEQ_OZseq(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_836]) ).

cnf(c_0_1194,plain,
    ( c_SEQ_OCauchy(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OCauchy(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_837]) ).

cnf(c_0_1195,plain,
    ( c_Series_Osuminf(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),c_Series_Osuminf(X1,X2))
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_838]) ).

cnf(c_0_1196,plain,
    ( c_SEQ_Olim(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),c_SEQ_Olim(X1,X2))
    | ~ c_SEQ_Oconvergent(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_839]) ).

cnf(c_0_1197,plain,
    ( hAPP(c_RealVector_Oof__real(X2),c_Series_Osuminf(X1,tc_RealDef_Oreal)) = c_Series_Osuminf(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_840]) ).

cnf(c_0_1198,plain,
    ( c_RealVector_Obounded__linear(c_COMBC(c_HOL_Otimes__class_Otimes(X1),X2,X1,X1,X1),X1,X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_841]) ).

cnf(c_0_1199,plain,
    ( c_Lim_OisUCont(c_COMBC(c_HOL_Otimes__class_Otimes(X1),X2,X1,X1,X1),X1,X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_842]) ).

cnf(c_0_1200,plain,
    ( hAPP(c_Complex_ORe,c_Series_Osuminf(X1,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_843]) ).

cnf(c_0_1201,plain,
    ( hAPP(c_Complex_OIm,c_Series_Osuminf(X1,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_844]) ).

cnf(c_0_1202,plain,
    ( c_SEQ_OCauchy(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ c_SEQ_OCauchy(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_845]) ).

cnf(c_0_1203,plain,
    ( c_Series_Osummable(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_846]) ).

cnf(c_0_1204,plain,
    ( c_SEQ_OZseq(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_847]) ).

cnf(c_0_1205,plain,
    ( c_SEQ_OZseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_848]) ).

cnf(c_0_1206,plain,
    ( c_Series_Osummable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_849]) ).

cnf(c_0_1207,plain,
    ( c_SEQ_Oconvergent(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_Oconvergent(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_850]) ).

cnf(c_0_1208,plain,
    ( c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X2),X1,X2,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_851]) ).

cnf(c_0_1209,plain,
    ( c_SEQ_OCauchy(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OCauchy(X1,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_852]) ).

cnf(c_0_1210,plain,
    ( c_SEQ_OZseq(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OZseq(X1,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_853]) ).

cnf(c_0_1211,plain,
    ( c_Series_Osummable(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_854]) ).

cnf(c_0_1212,plain,
    ( c_SEQ_OZseq(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OZseq(X1,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_855]) ).

cnf(c_0_1213,plain,
    ( c_SEQ_OCauchy(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OCauchy(X1,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_856]) ).

cnf(c_0_1214,plain,
    ( c_Series_Osummable(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_857]) ).

cnf(c_0_1215,plain,
    ( c_Lim_OisCont(X1,X2,X3,X4)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_858]) ).

cnf(c_0_1216,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_Lim_OLIM(c_COMBK(X1,X2,X3),X4,c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_RealVector_Oreal__normed__algebra__1(X3)
    | ~ class_HOL_Ozero(X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_859]) ).

cnf(c_0_1217,plain,
    ( X1 = X2
    | ~ c_Lim_OLIM(c_COMBK(X1,X3,X4),X5,X2,X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_860]) ).

cnf(c_0_1218,plain,
    ( X1 = X5
    | ~ c_Lim_OLIM(c_COMBK(X1,X2,X3),X4,X5,X3,X2)
    | ~ class_RealVector_Oreal__normed__algebra__1(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_861]) ).

cnf(c_0_1219,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)),X5)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)),X5)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_862]) ).

cnf(c_0_1220,plain,
    ( c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_863]) ).

cnf(c_0_1221,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1))),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3))
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_864]) ).

cnf(c_0_1222,plain,
    ( c_Lim_OLIM(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1,X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_865]) ).

cnf(c_0_1223,plain,
    ( c_Lim_OLIM(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3),X1,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_866]) ).

cnf(c_0_1224,plain,
    ( c_Lim_OLIM(X1,X4,hAPP(X1,X4),X2,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_867]) ).

cnf(c_0_1225,plain,
    ( c_Lim_OLIM(c_COMBK(X1,X2,X3),X4,X1,X3,X2)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_868]) ).

cnf(c_0_1226,plain,
    ( c_Limits_Otendsto(c_COMBK(X1,X2,X3),X1,X4,X3,X2)
    | ~ class_RealVector_Otopological__space(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_869]) ).

cnf(c_0_1227,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Lim_OLIM(c_HOL_Oinverse__class_Oinverse(X2),X1,hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1),X2,X2)
    | ~ class_RealVector_Oreal__normed__div__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_870]) ).

cnf(c_0_1228,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3))),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3))
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_871]) ).

cnf(c_0_1229,plain,
    ( X1 = X2
    | X3 = X4
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X3))
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_872]) ).

cnf(c_0_1230,plain,
    ( X1 = X2
    | X3 = X4
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X3))
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_873]) ).

cnf(c_0_1231,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X5))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_874]) ).

cnf(c_0_1232,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_875]) ).

cnf(c_0_1233,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_876]) ).

cnf(c_0_1234,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_877]) ).

cnf(c_0_1235,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X5))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_878]) ).

cnf(c_0_1236,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_879]) ).

cnf(c_0_1237,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_880]) ).

cnf(c_0_1238,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_881]) ).

cnf(c_0_1239,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_882]) ).

cnf(c_0_1240,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_883]) ).

cnf(c_0_1241,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_884]) ).

cnf(c_0_1242,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X3)) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_885]) ).

cnf(c_0_1243,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X1)) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_886]) ).

cnf(c_0_1244,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_887]) ).

cnf(c_0_1245,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_888]) ).

cnf(c_0_1246,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_889]) ).

cnf(c_0_1247,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_890]) ).

cnf(c_0_1248,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_891]) ).

cnf(c_0_1249,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3)),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X4))
    | ~ class_RealVector_Oreal__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_892]) ).

cnf(c_0_1250,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3)),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X4))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_893]) ).

cnf(c_0_1251,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = X4
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X4))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_894]) ).

cnf(c_0_1252,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1))) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_895]) ).

cnf(c_0_1253,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_896]) ).

cnf(c_0_1254,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_897]) ).

cnf(c_0_1255,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_898]) ).

cnf(c_0_1256,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_899]) ).

cnf(c_0_1257,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3)),X4) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_900]) ).

cnf(c_0_1258,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3)),X4) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_901]) ).

cnf(c_0_1259,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_902]) ).

cnf(c_0_1260,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_903]) ).

cnf(c_0_1261,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_904]) ).

cnf(c_0_1262,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_905]) ).

cnf(c_0_1263,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_906]) ).

cnf(c_0_1264,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3)),X4) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_RealVector_Oreal__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_907]) ).

cnf(c_0_1265,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = X4
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X4)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_908]) ).

cnf(c_0_1266,plain,
    ( c_Finite__Set_Osetsum(c_COMBK(c_HOL_Ozero__class_Ozero(X1),X1,X2),X3,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_909]) ).

cnf(c_0_1267,plain,
    ( c_Limits_OZfun(c_COMBK(c_HOL_Ozero__class_Ozero(X1),X1,X2),X3,X2,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_910]) ).

cnf(c_0_1268,plain,
    ( c_Lim_OisCont(c_COMBK(X1,X2,X3),X4,X3,X2)
    | ~ class_RealVector_Ometric__space(X2)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_911]) ).

cnf(c_0_1269,plain,
    ( c_Lim_OisCont(X1,X4,X2,X3)
    | ~ c_Lim_OisUCont(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_912]) ).

cnf(c_0_1270,plain,
    ( c_Lim_OisCont(X1,X4,X2,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_913]) ).

cnf(c_0_1271,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_914]) ).

cnf(c_0_1272,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_915]) ).

cnf(c_0_1273,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_916]) ).

cnf(c_0_1274,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_917]) ).

cnf(c_0_1275,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_918]) ).

cnf(c_0_1276,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_919]) ).

cnf(c_0_1277,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))
    | ~ class_RealVector_Oreal__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_920]) ).

cnf(c_0_1278,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X4))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_921]) ).

cnf(c_0_1279,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X4))
    | ~ class_RealVector_Oreal__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_922]) ).

cnf(c_0_1280,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X4))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_923]) ).

cnf(c_0_1281,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3)) = X3
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_924]) ).

cnf(c_0_1282,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Oinverse__class_Oinverse(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3)),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1))
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_925]) ).

cnf(c_0_1283,plain,
    ( hAPP(c_HOL_Oinverse__class_Oinverse(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2)),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X3))
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_926]) ).

cnf(c_0_1284,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_927]) ).

cnf(c_0_1285,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_928]) ).

cnf(c_0_1286,plain,
    ( hAPP(X1,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X4),X5)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X4),hAPP(X1,X5))
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_929]) ).

cnf(c_0_1287,plain,
    ( c_Lim_OisCont(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3,X1,X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_930]) ).

cnf(c_0_1288,plain,
    ( c_Lim_OisCont(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3,X1,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_931]) ).

cnf(c_0_1289,plain,
    ( X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X4),X3)) != X4
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_932]) ).

cnf(c_0_1290,plain,
    ( X1 = X3
    | ~ c_SEQ_OLIMSEQ(c_COMBK(X1,X2,tc_nat),X3,X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_933]) ).

cnf(c_0_1291,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_934]) ).

cnf(c_0_1292,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_935]) ).

cnf(c_0_1293,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_936]) ).

cnf(c_0_1294,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)) = X3
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_937]) ).

cnf(c_0_1295,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)) = X3
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_938]) ).

cnf(c_0_1296,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_939]) ).

cnf(c_0_1297,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_940]) ).

cnf(c_0_1298,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_941]) ).

cnf(c_0_1299,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_942]) ).

cnf(c_0_1300,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_943]) ).

cnf(c_0_1301,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_944]) ).

cnf(c_0_1302,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3))
    | ~ class_RealVector_Oreal__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_945]) ).

cnf(c_0_1303,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_946]) ).

cnf(c_0_1304,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_947]) ).

cnf(c_0_1305,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_SEQ_OZseq(c_COMBK(X1,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_948]) ).

cnf(c_0_1306,plain,
    ( X1 = X2
    | X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X1),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X2),X2)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_949]) ).

cnf(c_0_1307,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_RealVector_Oof__real(X1),X2)),X3)
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_950]) ).

cnf(c_0_1308,plain,
    ( c_Series_Osums(c_COMBK(c_HOL_Ozero__class_Ozero(X1),X1,tc_nat),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_951]) ).

cnf(c_0_1309,plain,
    ( X2 = X4
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X4,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_952]) ).

cnf(c_0_1310,plain,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_953]) ).

cnf(c_0_1311,plain,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(X4)
    | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X1),X3) != hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X2),X3)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_954]) ).

cnf(c_0_1312,plain,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X3),X1) != hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X3),X2)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_955]) ).

cnf(c_0_1313,plain,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_956]) ).

cnf(c_0_1314,plain,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_957]) ).

cnf(c_0_1315,plain,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_958]) ).

cnf(c_0_1316,plain,
    ( c_Deriv_Odifferentiable(c_COMBK(X1,X2,X2),X3,X2)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_959]) ).

cnf(c_0_1317,plain,
    ( c_SEQ_OLIMSEQ(c_COMBK(X1,X2,tc_nat),X1,X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_960]) ).

cnf(c_0_1318,plain,
    ( c_SEQ_OLIMSEQ(c_COMBK(X1,X2,tc_nat),X1,X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_961]) ).

cnf(c_0_1319,plain,
    ( c_Lim_OisUCont(X1,X2,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_962]) ).

cnf(c_0_1320,plain,
    ( c_SEQ_Oconvergent(X1,X2)
    | ~ c_SEQ_OLIMSEQ(X1,c_SEQ_Olim(X1,X2),X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_963]) ).

cnf(c_0_1321,plain,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_964]) ).

cnf(c_0_1322,plain,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_965]) ).

cnf(c_0_1323,plain,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_966]) ).

cnf(c_0_1324,plain,
    ( c_Series_Osuminf(c_COMBK(c_HOL_Ozero__class_Ozero(X1),X1,tc_nat),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_967]) ).

cnf(c_0_1325,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_968]) ).

cnf(c_0_1326,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_969]) ).

cnf(c_0_1327,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_970]) ).

cnf(c_0_1328,plain,
    ( c_Series_Osummable(c_COMBK(c_HOL_Ozero__class_Ozero(X1),X1,tc_nat),X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_971]) ).

cnf(c_0_1329,plain,
    ( c_SEQ_OZseq(c_COMBK(c_HOL_Ozero__class_Ozero(X1),X1,tc_nat),X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_972]) ).

cnf(c_0_1330,plain,
    ( hAPP(c_HOL_Oinverse__class_Oinverse(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2))
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_973]) ).

cnf(c_0_1331,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Oinverse__class_Oinverse(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1))
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_974]) ).

cnf(c_0_1332,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X2) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X3)
    | ~ class_RealVector_Oreal__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_975]) ).

cnf(c_0_1333,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),c_HOL_Ozero__class_Ozero(X1))
    | ~ class_RealVector_Oreal__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_976]) ).

cnf(c_0_1334,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2) = X3
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_977]) ).

cnf(c_0_1335,plain,
    ( X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_978]) ).

cnf(c_0_1336,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_979]) ).

cnf(c_0_1337,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_980]) ).

cnf(c_0_1338,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_981]) ).

cnf(c_0_1339,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_982]) ).

cnf(c_0_1340,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_983]) ).

cnf(c_0_1341,plain,
    ( c_SEQ_OLIMSEQ(X1,c_SEQ_Olim(X1,X2),X2)
    | ~ c_SEQ_Oconvergent(X1,X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_984]) ).

cnf(c_0_1342,plain,
    ( c_Series_Osums(X1,c_Series_Osuminf(X1,X2),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_985]) ).

cnf(c_0_1343,plain,
    ( c_Series_Osums(X1,c_Series_Osuminf(X1,X2),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_986]) ).

cnf(c_0_1344,plain,
    ( X2 = c_Series_Osuminf(X1,X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_987]) ).

cnf(c_0_1345,plain,
    ( c_Series_Osuminf(X1,X3) = X2
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_988]) ).

cnf(c_0_1346,plain,
    ( c_SEQ_Olim(X1,X3) = X2
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_989]) ).

cnf(c_0_1347,plain,
    ( c_Series_Osummable(X1,X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_990]) ).

cnf(c_0_1348,plain,
    ( c_Series_Osummable(X1,X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_991]) ).

cnf(c_0_1349,plain,
    ( c_SEQ_Oconvergent(X1,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_992]) ).

cnf(c_0_1350,plain,
    ( c_SEQ_Oconvergent(X1,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_993]) ).

cnf(c_0_1351,plain,
    ( c_SEQ_OCauchy(X1,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_994]) ).

cnf(c_0_1352,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_995]) ).

cnf(c_0_1353,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_996]) ).

cnf(c_0_1354,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_997]) ).

cnf(c_0_1355,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X1),X2) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_998]) ).

cnf(c_0_1356,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_999]) ).

cnf(c_0_1357,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1000]) ).

cnf(c_0_1358,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1001]) ).

cnf(c_0_1359,plain,
    ( c_Lim_OisUCont(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X1,X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1002]) ).

cnf(c_0_1360,plain,
    ( c_RealVector_Obounded__linear(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X1,X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1003]) ).

cnf(c_0_1361,plain,
    ( c_Lim_OisUCont(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X1,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1004]) ).

cnf(c_0_1362,plain,
    ( c_RealVector_Obounded__linear(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X1,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1005]) ).

cnf(c_0_1363,plain,
    ( c_SEQ_OLIMSEQ(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1006]) ).

cnf(c_0_1364,plain,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1007]) ).

cnf(c_0_1365,plain,
    ( hAPP(c_RealVector_Onorm__class_Onorm(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = hAPP(c_RealVector_Onorm__class_Onorm(X1),X2)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1008]) ).

cnf(c_0_1366,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = X3
    | hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1) != hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1009]) ).

cnf(c_0_1367,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1010]) ).

cnf(c_0_1368,plain,
    ( X1 = X2
    | hAPP(c_Complex_ORe,X1) != hAPP(c_Complex_ORe,X2)
    | hAPP(c_Complex_OIm,X1) != hAPP(c_Complex_OIm,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1011]) ).

cnf(c_0_1369,plain,
    ( X1 = X2
    | hAPP(c_HOL_Oinverse__class_Oinverse(X3),X1) != hAPP(c_HOL_Oinverse__class_Oinverse(X3),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Odivision__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1012]) ).

cnf(c_0_1370,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1013]) ).

cnf(c_0_1371,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1014]) ).

cnf(c_0_1372,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1015]) ).

cnf(c_0_1373,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1016]) ).

cnf(c_0_1374,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Omult__zero(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1017]) ).

cnf(c_0_1375,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1018]) ).

cnf(c_0_1376,plain,
    ( hAPP(c_HOL_Oinverse__class_Oinverse(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2)) = X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1019]) ).

cnf(c_0_1377,plain,
    ( X1 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),c_HOL_Ozero__class_Ozero(X2))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1020]) ).

cnf(c_0_1378,plain,
    ( X1 = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1021]) ).

cnf(c_0_1379,plain,
    ( X1 = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1022]) ).

cnf(c_0_1380,plain,
    ( X1 = X2
    | hAPP(c_RealVector_Oof__real(X3),X1) != hAPP(c_RealVector_Oof__real(X3),X2)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1023]) ).

cnf(c_0_1381,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1024]) ).

cnf(c_0_1382,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1025]) ).

cnf(c_0_1383,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1026]) ).

cnf(c_0_1384,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1027]) ).

cnf(c_0_1385,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Oinverse__class_Oinverse(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)) = X1
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1028]) ).

cnf(c_0_1386,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1029]) ).

cnf(c_0_1387,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1030]) ).

cnf(c_0_1388,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1031]) ).

cnf(c_0_1389,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1032]) ).

cnf(c_0_1390,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1033]) ).

cnf(c_0_1391,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1034]) ).

cnf(c_0_1392,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1035]) ).

cnf(c_0_1393,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Omult__zero(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1036]) ).

cnf(c_0_1394,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1037]) ).

cnf(c_0_1395,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1038]) ).

cnf(c_0_1396,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1039]) ).

cnf(c_0_1397,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1040]) ).

cnf(c_0_1398,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1041]) ).

cnf(c_0_1399,plain,
    ( X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1))
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1042]) ).

cnf(c_0_1400,plain,
    ( X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1))
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1043]) ).

cnf(c_0_1401,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1044]) ).

cnf(c_0_1402,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1045]) ).

cnf(c_0_1403,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2) = X2
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1046]) ).

cnf(c_0_1404,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1047]) ).

cnf(c_0_1405,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1048]) ).

cnf(c_0_1406,plain,
    ( c_HOL_Ozero__class_Ozero(X1) = X2
    | c_HOL_Ozero__class_Ozero(X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1049]) ).

cnf(c_0_1407,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1050]) ).

cnf(c_0_1408,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | hAPP(c_RealVector_Oof__real(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1051]) ).

cnf(c_0_1409,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_RealVector_Onorm__class_Onorm(X2),X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1052]) ).

cnf(c_0_1410,plain,
    ( X1 = X2
    | c_Complex_Ocomplex_OComplex(X3,X1) != c_Complex_Ocomplex_OComplex(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1053]) ).

cnf(c_0_1411,plain,
    ( X1 = X2
    | c_Complex_Ocomplex_OComplex(X1,X3) != c_Complex_Ocomplex_OComplex(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1054]) ).

cnf(c_0_1412,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != X1
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1055]) ).

cnf(c_0_1413,plain,
    ( hAPP(c_HOL_Oinverse__class_Oinverse(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1056]) ).

cnf(c_0_1414,plain,
    ( c_SEQ_OCauchy(X1,X2)
    | ~ c_SEQ_Oconvergent(X1,X2)
    | ~ class_SEQ_Ocomplete__space(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1057]) ).

cnf(c_0_1415,plain,
    ( c_SEQ_Oconvergent(X1,X2)
    | ~ c_SEQ_OCauchy(X1,X2)
    | ~ class_SEQ_Ocomplete__space(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1058]) ).

cnf(c_0_1416,plain,
    ( c_SEQ_OCauchy(X1,X2)
    | ~ c_SEQ_Oconvergent(X1,X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1059]) ).

cnf(c_0_1417,plain,
    ( hAPP(c_RealVector_Oof__real(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1060]) ).

cnf(c_0_1418,plain,
    ( X1 = X2
    | hAPP(c_Suc,X1) != hAPP(c_Suc,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1061]) ).

cnf(c_0_1419,plain,
    ( X1 = X2
    | hAPP(c_Suc,X1) != hAPP(c_Suc,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1062]) ).

cnf(c_0_1420,plain,
    ( hAPP(c_HOL_Oinverse__class_Oinverse(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1063]) ).

cnf(c_0_1421,plain,
    ( c_HOL_Ozero__class_Ozero(X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1))
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1064]) ).

cnf(c_0_1422,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1065]) ).

cnf(c_0_1423,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1066]) ).

cnf(c_0_1424,plain,
    ( class_Lattices_Oboolean__algebra(tc_fun(X2,X1))
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1067]) ).

cnf(c_0_1425,plain,
    ( hAPP(c_RealVector_Onorm__class_Onorm(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1068]) ).

cnf(c_0_1426,plain,
    ( hAPP(c_RealVector_Oof__real(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1069]) ).

cnf(c_0_1427,plain,
    ( c_SEQ_Oconvergent(X1,tc_RealDef_Oreal)
    | ~ c_SEQ_OCauchy(X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_1070]) ).

cnf(c_0_1428,plain,
    ( v_thesis____
    | ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X1,tc_RealDef_Oreal) ),
    c_0_1071,
    [final] ).

cnf(c_0_1429,plain,
    ( c_SEQ_OLIMSEQ(X1,X4,X3)
    | ~ c_SEQ_OLIMSEQ(c_COMBB(X1,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),X2,tc_nat,tc_nat,tc_nat),tc_nat,X3,tc_nat),X4,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1072,
    [final] ).

cnf(c_0_1430,plain,
    ( c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X5),X1,X5,tc_fun(X5,X5),X4),X6,X4,X5,X5),X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X3),X6),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    c_0_1073,
    [final] ).

cnf(c_0_1431,plain,
    ( c_Limits_Otendsto(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X5),X1,X5,tc_fun(X5,X5),X4),X6,X4,X5,X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X6),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    c_0_1074,
    [final] ).

cnf(c_0_1432,plain,
    ( c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5),X1,tc_RealDef_Oreal,tc_fun(X5,X5),X4),X6,X4,X5,X5),X2,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X3),X6),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    c_0_1075,
    [final] ).

cnf(c_0_1433,plain,
    ( c_Limits_Otendsto(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5),X1,tc_RealDef_Oreal,tc_fun(X5,X5),X4),X6,X4,X5,X5),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X2),X6),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    c_0_1076,
    [final] ).

cnf(c_0_1434,plain,
    ( c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X3),X1,X3,tc_fun(X3,X3),X4),X5,X4,X3,X3),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_1077,
    [final] ).

cnf(c_0_1435,plain,
    ( c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X3),X1,X3,tc_fun(X3,X3),X4),X5,X4,X3,X3),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_1078,
    [final] ).

cnf(c_0_1436,plain,
    ( c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4),X1,tc_RealDef_Oreal,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_1079,
    [final] ).

cnf(c_0_1437,plain,
    ( c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4),X1,tc_RealDef_Oreal,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_1080,
    [final] ).

cnf(c_0_1438,plain,
    ( c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X1),X2,X1,tc_fun(X1,X1),X4),X5,X4,X1,X1),X3,X4,X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Finite__Set_Osetsum(X2,X3,X4,X1)),X5)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1081,
    [final] ).

cnf(c_0_1439,plain,
    ( c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X1),X2,X1,tc_fun(X1,X1),X4),X5,X4,X1,X1),X3,X4,X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Finite__Set_Osetsum(X2,X3,X4,X1)),X5)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    c_0_1082,
    [final] ).

cnf(c_0_1440,plain,
    ( c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X1),X2,tc_RealDef_Oreal,tc_fun(X1,X1),X4),X5,X4,X1,X1),X3,X4,X1) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),c_Finite__Set_Osetsum(X2,X3,X4,tc_RealDef_Oreal)),X5)
    | ~ class_RealVector_Oreal__vector(X1) ),
    c_0_1083,
    [final] ).

cnf(c_0_1441,plain,
    ( c_Limits_OZfun(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X4),X1,X4,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    c_0_1084,
    [final] ).

cnf(c_0_1442,plain,
    ( c_Limits_OZfun(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X4),X1,X4,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    c_0_1085,
    [final] ).

cnf(c_0_1443,plain,
    ( c_Limits_OZfun(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4),X1,tc_RealDef_Oreal,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_1086,
    [final] ).

cnf(c_0_1444,plain,
    ( c_Limits_OZfun(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4),X1,tc_RealDef_Oreal,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_1087,
    [final] ).

cnf(c_0_1445,plain,
    ( c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1088,
    [final] ).

cnf(c_0_1446,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(X1,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),X4,tc_nat,tc_nat,tc_nat),tc_nat,X3,tc_nat),X2,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1089,
    [final] ).

cnf(c_0_1447,plain,
    ( c_Series_Osummable(c_COMBB(X1,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),X3,tc_nat,tc_nat,tc_nat),tc_nat,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1090,
    [final] ).

cnf(c_0_1448,plain,
    ( c_Lim_OLIM(X1,X3,hAPP(X1,X3),X2,X4)
    | ~ c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X2,X4,X2),c_HOL_Ozero__class_Ozero(X2),hAPP(X1,X3),X2,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1091,
    [final] ).

cnf(c_0_1449,plain,
    ( c_Lim_OLIM(X1,X3,X5,X2,X4)
    | ~ c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X2,X4,X2),c_HOL_Ozero__class_Ozero(X2),X5,X2,X4)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Ometric__space(X4) ),
    c_0_1092,
    [final] ).

cnf(c_0_1450,plain,
    ( c_Limits_Otendsto(X2,X4,X5,X3,X1)
    | ~ c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X4),X5,X3,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1093,
    [final] ).

cnf(c_0_1451,plain,
    ( c_Lim_OLIM(X2,X4,c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,X3),X4,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1094,
    [final] ).

cnf(c_0_1452,plain,
    ( c_Lim_OisCont(X1,X3,X2,X4)
    | ~ c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X2,X4,X2),c_HOL_Ozero__class_Ozero(X2),hAPP(X1,X3),X2,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1095,
    [final] ).

cnf(c_0_1453,plain,
    ( c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1096,
    [final] ).

cnf(c_0_1454,plain,
    ( c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X5),X6),X1,X5,X5,X4),X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X6),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    c_0_1097,
    [final] ).

cnf(c_0_1455,plain,
    ( c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X6),X1,X5,X5,X4),X2,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X6),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    c_0_1098,
    [final] ).

cnf(c_0_1456,plain,
    ( c_Limits_Otendsto(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X5),X6),X1,X5,X5,X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X6),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    c_0_1099,
    [final] ).

cnf(c_0_1457,plain,
    ( c_Limits_Otendsto(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X6),X1,X5,X5,X4),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X6),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    c_0_1100,
    [final] ).

cnf(c_0_1458,plain,
    ( c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X3,X4,X3),c_HOL_Ozero__class_Ozero(X3),hAPP(X1,X2),X3,X4)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1101,
    [final] ).

cnf(c_0_1459,plain,
    ( c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X7),X5,hAPP(X1,X6),X7,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Lim_OLIM(X4,X5,X6,X7,X2)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1102,
    [final] ).

cnf(c_0_1460,plain,
    ( c_Limits_Otendsto(c_COMBB(X1,X4,X2,X3,X7),hAPP(X1,X5),X6,X7,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Limits_Otendsto(X4,X5,X6,X7,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1103,
    [final] ).

cnf(c_0_1461,plain,
    ( c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X6),X5,c_HOL_Ozero__class_Ozero(X3),X6,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Lim_OLIM(X4,X5,c_HOL_Ozero__class_Ozero(X2),X6,X2)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1104,
    [final] ).

cnf(c_0_1462,plain,
    ( c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X5),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_1105,
    [final] ).

cnf(c_0_1463,plain,
    ( c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X5),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_1106,
    [final] ).

cnf(c_0_1464,plain,
    ( c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X5),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1107,
    [final] ).

cnf(c_0_1465,plain,
    ( c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X5),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1108,
    [final] ).

cnf(c_0_1466,plain,
    ( c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X4),X2),X4,X5,X4),c_HOL_Ozero__class_Ozero(X4),X3,X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_RealVector_Ometric__space(X5) ),
    c_0_1109,
    [final] ).

cnf(c_0_1467,plain,
    ( X3 = c_HOL_Ozero__class_Ozero(X5)
    | c_Lim_OLIM(c_COMBB(c_HOL_Oinverse__class_Oinverse(X5),X1,X5,X5,X4),X2,hAPP(c_HOL_Oinverse__class_Oinverse(X5),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__div__algebra(X5) ),
    c_0_1110,
    [final] ).

cnf(c_0_1468,plain,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X5),X1,tc_RealDef_Oreal,X5,X4),X2,hAPP(c_RealVector_Oof__real(X5),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__algebra__1(X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    c_0_1111,
    [final] ).

cnf(c_0_1469,plain,
    ( c_Lim_OLIM(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X1,X5,X5,X4),X2,hAPP(c_HOL_Ouminus__class_Ouminus(X5),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    c_0_1112,
    [final] ).

cnf(c_0_1470,plain,
    ( X2 = c_HOL_Ozero__class_Ozero(X5)
    | c_Limits_Otendsto(c_COMBB(c_HOL_Oinverse__class_Oinverse(X5),X1,X5,X5,X4),hAPP(c_HOL_Oinverse__class_Oinverse(X5),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__div__algebra(X5) ),
    c_0_1113,
    [final] ).

cnf(c_0_1471,plain,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X1,X5,tc_RealDef_Oreal,X4),X2,hAPP(c_RealVector_Onorm__class_Onorm(X5),X3),X4,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    c_0_1114,
    [final] ).

cnf(c_0_1472,plain,
    ( c_Limits_Otendsto(c_COMBB(c_RealVector_Oof__real(X5),X1,tc_RealDef_Oreal,X5,X4),hAPP(c_RealVector_Oof__real(X5),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    c_0_1115,
    [final] ).

cnf(c_0_1473,plain,
    ( c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X1,X5,X5,X4),hAPP(c_HOL_Ouminus__class_Ouminus(X5),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    c_0_1116,
    [final] ).

cnf(c_0_1474,plain,
    ( c_Limits_Otendsto(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X1,X5,tc_RealDef_Oreal,X4),hAPP(c_RealVector_Onorm__class_Onorm(X5),X2),X3,X4,tc_RealDef_Oreal)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    c_0_1117,
    [final] ).

cnf(c_0_1475,plain,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__algebra__1(X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_1118,
    [final] ).

cnf(c_0_1476,plain,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X1,X3,tc_RealDef_Oreal,X4),X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1119,
    [final] ).

cnf(c_0_1477,plain,
    ( c_Lim_OLIM(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),X2,hAPP(c_Complex_ORe,X3),X4,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | ~ class_RealVector_Ometric__space(X4) ),
    c_0_1120,
    [final] ).

cnf(c_0_1478,plain,
    ( c_Lim_OLIM(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),X2,hAPP(c_Complex_OIm,X3),X4,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | ~ class_RealVector_Ometric__space(X4) ),
    c_0_1121,
    [final] ).

cnf(c_0_1479,plain,
    ( c_Limits_Otendsto(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),hAPP(c_Complex_ORe,X2),X3,X4,tc_RealDef_Oreal)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_Complex_Ocomplex) ),
    c_0_1122,
    [final] ).

cnf(c_0_1480,plain,
    ( c_Limits_Otendsto(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),hAPP(c_Complex_OIm,X2),X3,X4,tc_RealDef_Oreal)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_Complex_Ocomplex) ),
    c_0_1123,
    [final] ).

cnf(c_0_1481,plain,
    ( hAPP(X6,c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1(X6,X2,X4)) = X2
    | c_SEQ_OLIMSEQ(c_COMBB(X1,X6,X4,X5,tc_nat),X3,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ c_SEQ_OLIMSEQ(X6,X2,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X5) ),
    c_0_1124,
    [final] ).

cnf(c_0_1482,plain,
    ( c_Limits_OZfun(X2,X4,X3,X1)
    | ~ c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,X3),X4,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1125,
    [final] ).

cnf(c_0_1483,plain,
    ( c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X3,X4,X3),c_HOL_Ozero__class_Ozero(X3),hAPP(X1,X2),X3,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1126,
    [final] ).

cnf(c_0_1484,plain,
    ( c_SEQ_OLIMSEQ(X2,X3,X1)
    | ~ c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1127,
    [final] ).

cnf(c_0_1485,plain,
    ( c_SEQ_OLIMSEQ(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1128,
    [final] ).

cnf(c_0_1486,plain,
    ( c_SEQ_OLIMSEQ(X1,X3,X2)
    | ~ c_SEQ_OLIMSEQ(c_COMBB(X1,c_Suc,tc_nat,X2,tc_nat),X3,X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    c_0_1129,
    [final] ).

cnf(c_0_1487,plain,
    ( c_SEQ_Oconvergent(X2,X1)
    | ~ c_SEQ_Oconvergent(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,tc_nat),X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1130,
    [final] ).

cnf(c_0_1488,plain,
    ( c_Series_Osummable(X2,X1)
    | ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ class_SEQ_Obanach(X1) ),
    c_0_1131,
    [final] ).

cnf(c_0_1489,plain,
    ( c_SEQ_OZseq(X2,X1)
    | ~ c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1132,
    [final] ).

cnf(c_0_1490,plain,
    ( X3 = X6
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X6,X4,X5)
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ class_RealVector_Ometric__space(X5) ),
    c_0_1133,
    [final] ).

cnf(c_0_1491,plain,
    ( c_Lim_OLIM(c_COMBC(c_HOL_Otimes__class_Otimes(X1),X2,X1,X1,X1),X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2),X1,X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1134,
    [final] ).

cnf(c_0_1492,plain,
    ( c_Lim_OisCont(c_COMBB(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ c_Lim_OisCont(X5,hAPP(X1,X2),X4,X6)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1135,
    [final] ).

cnf(c_0_1493,plain,
    ( c_Finite__Set_Osetsum(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3,X1,X1,X5),X4,X5,X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Finite__Set_Osetsum(X3,X4,X5,X1))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1136,
    [final] ).

cnf(c_0_1494,plain,
    ( c_Finite__Set_Osetsum(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3,X1,X1,X5),X4,X5,X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Finite__Set_Osetsum(X3,X4,X5,X1))
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    c_0_1137,
    [final] ).

cnf(c_0_1495,plain,
    ( c_Finite__Set_Osetsum(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3,X1,X1,X5),X4,X5,X1) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),c_Finite__Set_Osetsum(X3,X4,X5,X1))
    | ~ class_RealVector_Oreal__vector(X1) ),
    c_0_1138,
    [final] ).

cnf(c_0_1496,plain,
    ( c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Oof__real(X1),X2,tc_RealDef_Oreal,X1,X4),X3,X4,X1) = hAPP(c_RealVector_Oof__real(X1),c_Finite__Set_Osetsum(X2,X3,X4,tc_RealDef_Oreal))
    | ~ class_RealVector_Oreal__algebra__1(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1139,
    [final] ).

cnf(c_0_1497,plain,
    ( c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,X3),X4,X3,X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Finite__Set_Osetsum(X2,X4,X3,X1))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_1140,
    [final] ).

cnf(c_0_1498,plain,
    ( c_Limits_OZfun(c_COMBB(X1,X4,X2,X3,X6),X5,X6,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Limits_OZfun(X4,X5,X6,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1141,
    [final] ).

cnf(c_0_1499,plain,
    ( c_Limits_OZfun(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X5),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_1142,
    [final] ).

cnf(c_0_1500,plain,
    ( c_Limits_OZfun(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X5),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_1143,
    [final] ).

cnf(c_0_1501,plain,
    ( c_Limits_OZfun(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X4),X5),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    c_0_1144,
    [final] ).

cnf(c_0_1502,plain,
    ( c_Limits_OZfun(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X4),X5),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    c_0_1145,
    [final] ).

cnf(c_0_1503,plain,
    ( hAPP(X1,X2) = c_HOL_Ozero__class_Ozero(X4)
    | c_Lim_OisCont(c_COMBB(c_HOL_Oinverse__class_Oinverse(X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__div__algebra(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1146,
    [final] ).

cnf(c_0_1504,plain,
    ( c_Lim_OisCont(c_COMBB(c_HOL_Ouminus__class_Ouminus(X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1147,
    [final] ).

cnf(c_0_1505,plain,
    ( c_Lim_OisCont(c_COMBB(c_RealVector_Onorm__class_Onorm(X4),X1,X4,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1148,
    [final] ).

cnf(c_0_1506,plain,
    ( c_Limits_OZfun(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_1149,
    [final] ).

cnf(c_0_1507,plain,
    ( c_Lim_OisCont(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,X3,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1150,
    [final] ).

cnf(c_0_1508,plain,
    ( c_Limits_OZfun(c_COMBB(c_HOL_Ouminus__class_Ouminus(X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_1151,
    [final] ).

cnf(c_0_1509,plain,
    ( c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X4),X1,X4,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_1152,
    [final] ).

cnf(c_0_1510,plain,
    ( c_Limits_OZfun(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_Complex_Ocomplex) ),
    c_0_1153,
    [final] ).

cnf(c_0_1511,plain,
    ( c_Limits_OZfun(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_Complex_Ocomplex) ),
    c_0_1154,
    [final] ).

cnf(c_0_1512,plain,
    ( c_Series_Osums(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X4),X1,X3,X3,tc_nat),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X4),X2),X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1155,
    [final] ).

cnf(c_0_1513,plain,
    ( c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X1,X3,X3,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X2),X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_1156,
    [final] ).

cnf(c_0_1514,plain,
    ( c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X1,X3,X3,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X2),X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_1157,
    [final] ).

cnf(c_0_1515,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X1,X3,X3,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_1158,
    [final] ).

cnf(c_0_1516,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X4),X1,X3,X3,tc_nat),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X4),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1159,
    [final] ).

cnf(c_0_1517,plain,
    ( c_Deriv_Odifferentiable(c_COMBB(X1,X2,X4,X4,X4),X3,X4)
    | ~ c_Deriv_Odifferentiable(X1,hAPP(X2,X3),X4)
    | ~ c_Deriv_Odifferentiable(X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__field(X4) ),
    c_0_1160,
    [final] ).

cnf(c_0_1518,plain,
    ( c_Lim_OisCont(c_COMBC(c_HOL_Otimes__class_Otimes(X1),X2,X1,X1,X1),X3,X1,X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1161,
    [final] ).

cnf(c_0_1519,plain,
    ( c_Series_Osums(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Series_Osums(X4,X5,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1162,
    [final] ).

cnf(c_0_1520,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_SEQ_OLIMSEQ(X4,X5,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1163,
    [final] ).

cnf(c_0_1521,plain,
    ( X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Oinverse__class_Oinverse(X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__div__algebra(X3) ),
    c_0_1164,
    [final] ).

cnf(c_0_1522,plain,
    ( c_Series_Osums(c_COMBB(c_RealVector_Oof__real(X3),X1,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X2),X3)
    | ~ c_Series_Osums(X1,X2,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1165,
    [final] ).

cnf(c_0_1523,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Oof__real(X3),X1,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1166,
    [final] ).

cnf(c_0_1524,plain,
    ( c_Series_Osums(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1167,
    [final] ).

cnf(c_0_1525,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1168,
    [final] ).

cnf(c_0_1526,plain,
    ( c_Series_Osuminf(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),X1,X2,X2,tc_nat),X2) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),c_Series_Osuminf(X1,X2))
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1169,
    [final] ).

cnf(c_0_1527,plain,
    ( c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Series_Osuminf(X1,X2))
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1170,
    [final] ).

cnf(c_0_1528,plain,
    ( c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Series_Osuminf(X1,X2))
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1171,
    [final] ).

cnf(c_0_1529,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X1,X3,tc_RealDef_Oreal,tc_nat),hAPP(c_RealVector_Onorm__class_Onorm(X3),X2),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1172,
    [final] ).

cnf(c_0_1530,plain,
    ( hAPP(X1,X2) = c_HOL_Ozero__class_Ozero(X3)
    | c_Deriv_Odifferentiable(c_COMBB(c_HOL_Oinverse__class_Oinverse(X3),X1,X3,X3,X3),X2,X3)
    | ~ c_Deriv_Odifferentiable(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    c_0_1173,
    [final] ).

cnf(c_0_1531,plain,
    ( c_Series_Osuminf(c_COMBB(X1,X4,X2,X3,tc_nat),X3) = hAPP(X1,c_Series_Osuminf(X4,X2))
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Series_Osummable(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1174,
    [final] ).

cnf(c_0_1532,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X2),X1,X2,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1175,
    [final] ).

cnf(c_0_1533,plain,
    ( c_Deriv_Odifferentiable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,X3),X2,X3)
    | ~ c_Deriv_Odifferentiable(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    c_0_1176,
    [final] ).

cnf(c_0_1534,plain,
    ( c_Series_Osums(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X2),tc_RealDef_Oreal)
    | ~ c_Series_Osums(X1,X2,tc_Complex_Ocomplex) ),
    c_0_1177,
    [final] ).

cnf(c_0_1535,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X2),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_Complex_Ocomplex) ),
    c_0_1178,
    [final] ).

cnf(c_0_1536,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X2),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_Complex_Ocomplex) ),
    c_0_1179,
    [final] ).

cnf(c_0_1537,plain,
    ( c_Series_Osums(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X2),tc_RealDef_Oreal)
    | ~ c_Series_Osums(X1,X2,tc_Complex_Ocomplex) ),
    c_0_1180,
    [final] ).

cnf(c_0_1538,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(X1,c_Suc,tc_nat,X3,tc_nat),X2,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1181,
    [final] ).

cnf(c_0_1539,plain,
    ( c_SEQ_OZseq(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_SEQ_OZseq(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1182,
    [final] ).

cnf(c_0_1540,plain,
    ( c_Series_Osummable(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Series_Osummable(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1183,
    [final] ).

cnf(c_0_1541,plain,
    ( c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_Lim_OisUCont(X1,X2,X3)
    | ~ c_SEQ_OCauchy(X4,X2)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    c_0_1184,
    [final] ).

cnf(c_0_1542,plain,
    ( c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_SEQ_OCauchy(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1185,
    [final] ).

cnf(c_0_1543,plain,
    ( c_SEQ_OCauchy(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OCauchy(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1186,
    [final] ).

cnf(c_0_1544,plain,
    ( c_SEQ_OZseq(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1187,
    [final] ).

cnf(c_0_1545,plain,
    ( c_SEQ_OZseq(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1188,
    [final] ).

cnf(c_0_1546,plain,
    ( c_Series_Osummable(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1189,
    [final] ).

cnf(c_0_1547,plain,
    ( c_Series_Osummable(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1190,
    [final] ).

cnf(c_0_1548,plain,
    ( c_Series_Osummable(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1191,
    [final] ).

cnf(c_0_1549,plain,
    ( c_SEQ_OZseq(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1192,
    [final] ).

cnf(c_0_1550,plain,
    ( c_SEQ_OZseq(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1193,
    [final] ).

cnf(c_0_1551,plain,
    ( c_SEQ_OCauchy(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OCauchy(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1194,
    [final] ).

cnf(c_0_1552,plain,
    ( c_Series_Osuminf(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),c_Series_Osuminf(X1,X2))
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1195,
    [final] ).

cnf(c_0_1553,plain,
    ( c_SEQ_Olim(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),c_SEQ_Olim(X1,X2))
    | ~ c_SEQ_Oconvergent(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1196,
    [final] ).

cnf(c_0_1554,plain,
    ( c_Series_Osuminf(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2) = hAPP(c_RealVector_Oof__real(X2),c_Series_Osuminf(X1,tc_RealDef_Oreal))
    | ~ c_Series_Osummable(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1197,
    [final] ).

cnf(c_0_1555,plain,
    ( c_RealVector_Obounded__linear(c_COMBC(c_HOL_Otimes__class_Otimes(X1),X2,X1,X1,X1),X1,X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1198,
    [final] ).

cnf(c_0_1556,plain,
    ( c_Lim_OisUCont(c_COMBC(c_HOL_Otimes__class_Otimes(X1),X2,X1,X1,X1),X1,X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1199,
    [final] ).

cnf(c_0_1557,plain,
    ( c_Series_Osuminf(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) = hAPP(c_Complex_ORe,c_Series_Osuminf(X1,tc_Complex_Ocomplex))
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    c_0_1200,
    [final] ).

cnf(c_0_1558,plain,
    ( c_Series_Osuminf(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) = hAPP(c_Complex_OIm,c_Series_Osuminf(X1,tc_Complex_Ocomplex))
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    c_0_1201,
    [final] ).

cnf(c_0_1559,plain,
    ( c_SEQ_OCauchy(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ c_SEQ_OCauchy(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1202,
    [final] ).

cnf(c_0_1560,plain,
    ( c_Series_Osummable(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1203,
    [final] ).

cnf(c_0_1561,plain,
    ( c_SEQ_OZseq(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1204,
    [final] ).

cnf(c_0_1562,plain,
    ( c_SEQ_OZseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1205,
    [final] ).

cnf(c_0_1563,plain,
    ( c_Series_Osummable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1206,
    [final] ).

cnf(c_0_1564,plain,
    ( c_SEQ_Oconvergent(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_Oconvergent(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1207,
    [final] ).

cnf(c_0_1565,plain,
    ( c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X2),X1,X2,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1208,
    [final] ).

cnf(c_0_1566,plain,
    ( c_SEQ_OCauchy(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OCauchy(X1,tc_Complex_Ocomplex) ),
    c_0_1209,
    [final] ).

cnf(c_0_1567,plain,
    ( c_SEQ_OZseq(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OZseq(X1,tc_Complex_Ocomplex) ),
    c_0_1210,
    [final] ).

cnf(c_0_1568,plain,
    ( c_Series_Osummable(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    c_0_1211,
    [final] ).

cnf(c_0_1569,plain,
    ( c_SEQ_OZseq(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OZseq(X1,tc_Complex_Ocomplex) ),
    c_0_1212,
    [final] ).

cnf(c_0_1570,plain,
    ( c_SEQ_OCauchy(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OCauchy(X1,tc_Complex_Ocomplex) ),
    c_0_1213,
    [final] ).

cnf(c_0_1571,plain,
    ( c_Series_Osummable(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    c_0_1214,
    [final] ).

cnf(c_0_1572,plain,
    ( c_Lim_OisCont(X1,X2,X3,X4)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1215,
    [final] ).

cnf(c_0_1573,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_Lim_OLIM(c_COMBK(X1,X2,X3),X4,c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_RealVector_Oreal__normed__algebra__1(X3)
    | ~ class_HOL_Ozero(X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    c_0_1216,
    [final] ).

cnf(c_0_1574,plain,
    ( X1 = X2
    | ~ c_Lim_OLIM(c_COMBK(X1,X3,X4),X5,X2,X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1217,
    [final] ).

cnf(c_0_1575,plain,
    ( X1 = X5
    | ~ c_Lim_OLIM(c_COMBK(X1,X2,X3),X4,X5,X3,X2)
    | ~ class_RealVector_Oreal__normed__algebra__1(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    c_0_1218,
    [final] ).

cnf(c_0_1576,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)),X5)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)),X5)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    c_0_1219,
    [final] ).

cnf(c_0_1577,plain,
    ( c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1220,
    [final] ).

cnf(c_0_1578,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1))),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3))
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_1221,
    [final] ).

cnf(c_0_1579,plain,
    ( c_Lim_OLIM(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1,X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1222,
    [final] ).

cnf(c_0_1580,plain,
    ( c_Lim_OLIM(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3),X1,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1223,
    [final] ).

cnf(c_0_1581,plain,
    ( c_Lim_OLIM(X1,X4,hAPP(X1,X4),X2,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1224,
    [final] ).

cnf(c_0_1582,plain,
    ( c_Lim_OLIM(c_COMBK(X1,X2,X3),X4,X1,X3,X2)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    c_0_1225,
    [final] ).

cnf(c_0_1583,plain,
    ( c_Limits_Otendsto(c_COMBK(X1,X2,X3),X1,X4,X3,X2)
    | ~ class_RealVector_Otopological__space(X2) ),
    c_0_1226,
    [final] ).

cnf(c_0_1584,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Lim_OLIM(c_HOL_Oinverse__class_Oinverse(X2),X1,hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1),X2,X2)
    | ~ class_RealVector_Oreal__normed__div__algebra(X2) ),
    c_0_1227,
    [final] ).

cnf(c_0_1585,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3))),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3))
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_1228,
    [final] ).

cnf(c_0_1586,plain,
    ( X1 = X2
    | X3 = X4
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X3))
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    c_0_1229,
    [final] ).

cnf(c_0_1587,plain,
    ( X1 = X2
    | X3 = X4
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X3))
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    c_0_1230,
    [final] ).

cnf(c_0_1588,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X5))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1231,
    [final] ).

cnf(c_0_1589,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_1232,
    [final] ).

cnf(c_0_1590,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_1233,
    [final] ).

cnf(c_0_1591,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1234,
    [final] ).

cnf(c_0_1592,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X5))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1235,
    [final] ).

cnf(c_0_1593,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1236,
    [final] ).

cnf(c_0_1594,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1237,
    [final] ).

cnf(c_0_1595,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1238,
    [final] ).

cnf(c_0_1596,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1239,
    [final] ).

cnf(c_0_1597,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    c_0_1240,
    [final] ).

cnf(c_0_1598,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1241,
    [final] ).

cnf(c_0_1599,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X3)) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_1242,
    [final] ).

cnf(c_0_1600,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X1)) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_1243,
    [final] ).

cnf(c_0_1601,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1244,
    [final] ).

cnf(c_0_1602,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1245,
    [final] ).

cnf(c_0_1603,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1246,
    [final] ).

cnf(c_0_1604,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1247,
    [final] ).

cnf(c_0_1605,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1248,
    [final] ).

cnf(c_0_1606,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3)),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_RealVector_Oreal__vector(X1) ),
    c_0_1249,
    [final] ).

cnf(c_0_1607,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3)),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1250,
    [final] ).

cnf(c_0_1608,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = X4
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X4))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    c_0_1251,
    [final] ).

cnf(c_0_1609,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1))) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_1252,
    [final] ).

cnf(c_0_1610,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
    c_0_1253,
    [final] ).

cnf(c_0_1611,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1254,
    [final] ).

cnf(c_0_1612,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1255,
    [final] ).

cnf(c_0_1613,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1256,
    [final] ).

cnf(c_0_1614,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3)),X4) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1257,
    [final] ).

cnf(c_0_1615,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3)),X4) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1258,
    [final] ).

cnf(c_0_1616,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    c_0_1259,
    [final] ).

cnf(c_0_1617,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1260,
    [final] ).

cnf(c_0_1618,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    c_0_1261,
    [final] ).

cnf(c_0_1619,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1262,
    [final] ).

cnf(c_0_1620,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1263,
    [final] ).

cnf(c_0_1621,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3)),X4) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_RealVector_Oreal__algebra(X1) ),
    c_0_1264,
    [final] ).

cnf(c_0_1622,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = X4
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X4)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_1265,
    [final] ).

cnf(c_0_1623,plain,
    ( c_Finite__Set_Osetsum(c_COMBK(c_HOL_Ozero__class_Ozero(X1),X1,X2),X3,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    c_0_1266,
    [final] ).

cnf(c_0_1624,plain,
    ( c_Limits_OZfun(c_COMBK(c_HOL_Ozero__class_Ozero(X1),X1,X2),X3,X2,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1267,
    [final] ).

cnf(c_0_1625,plain,
    ( c_Lim_OisCont(c_COMBK(X1,X2,X3),X4,X3,X2)
    | ~ class_RealVector_Ometric__space(X2)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1268,
    [final] ).

cnf(c_0_1626,plain,
    ( c_Lim_OisCont(X1,X4,X2,X3)
    | ~ c_Lim_OisUCont(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    c_0_1269,
    [final] ).

cnf(c_0_1627,plain,
    ( c_Lim_OisCont(X1,X4,X2,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1270,
    [final] ).

cnf(c_0_1628,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1271,
    [final] ).

cnf(c_0_1629,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1272,
    [final] ).

cnf(c_0_1630,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    c_0_1273,
    [final] ).

cnf(c_0_1631,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_1274,
    [final] ).

cnf(c_0_1632,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1275,
    [final] ).

cnf(c_0_1633,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1276,
    [final] ).

cnf(c_0_1634,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))
    | ~ class_RealVector_Oreal__algebra(X1) ),
    c_0_1277,
    [final] ).

cnf(c_0_1635,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X4))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1278,
    [final] ).

cnf(c_0_1636,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X4))
    | ~ class_RealVector_Oreal__vector(X1) ),
    c_0_1279,
    [final] ).

cnf(c_0_1637,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X4))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1280,
    [final] ).

cnf(c_0_1638,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3)) = X3
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_1281,
    [final] ).

cnf(c_0_1639,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3)),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)) = hAPP(c_HOL_Oinverse__class_Oinverse(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3))
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_1282,
    [final] ).

cnf(c_0_1640,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2)),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X3)) = hAPP(c_HOL_Oinverse__class_Oinverse(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_1283,
    [final] ).

cnf(c_0_1641,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3))
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_1284,
    [final] ).

cnf(c_0_1642,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_1285,
    [final] ).

cnf(c_0_1643,plain,
    ( hAPP(X1,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X4),X5)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X4),hAPP(X1,X5))
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1286,
    [final] ).

cnf(c_0_1644,plain,
    ( c_Lim_OisCont(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3,X1,X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1287,
    [final] ).

cnf(c_0_1645,plain,
    ( c_Lim_OisCont(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3,X1,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1288,
    [final] ).

cnf(c_0_1646,plain,
    ( X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X4),X3)) != X4
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    c_0_1289,
    [final] ).

cnf(c_0_1647,plain,
    ( X1 = X3
    | ~ c_SEQ_OLIMSEQ(c_COMBK(X1,X2,tc_nat),X3,X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    c_0_1290,
    [final] ).

cnf(c_0_1648,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_Ring__and__Field_Oring(X1) ),
    c_0_1291,
    [final] ).

cnf(c_0_1649,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1292,
    [final] ).

cnf(c_0_1650,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1293,
    [final] ).

cnf(c_0_1651,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)) = X3
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_1294,
    [final] ).

cnf(c_0_1652,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)) = X3
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_1295,
    [final] ).

cnf(c_0_1653,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_1296,
    [final] ).

cnf(c_0_1654,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)
    | ~ class_Ring__and__Field_Oring(X1) ),
    c_0_1297,
    [final] ).

cnf(c_0_1655,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))
    | ~ class_Ring__and__Field_Oring(X1) ),
    c_0_1298,
    [final] ).

cnf(c_0_1656,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_Ring__and__Field_Oring(X1) ),
    c_0_1299,
    [final] ).

cnf(c_0_1657,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1300,
    [final] ).

cnf(c_0_1658,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1301,
    [final] ).

cnf(c_0_1659,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3))
    | ~ class_RealVector_Oreal__vector(X1) ),
    c_0_1302,
    [final] ).

cnf(c_0_1660,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1303,
    [final] ).

cnf(c_0_1661,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
    c_0_1304,
    [final] ).

cnf(c_0_1662,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_SEQ_OZseq(c_COMBK(X1,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1305,
    [final] ).

cnf(c_0_1663,plain,
    ( X1 = X2
    | X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X1),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X2),X2)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    c_0_1306,
    [final] ).

cnf(c_0_1664,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_RealVector_Oof__real(X1),X2)),X3) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3)
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    c_0_1307,
    [final] ).

cnf(c_0_1665,plain,
    ( c_Series_Osums(c_COMBK(c_HOL_Ozero__class_Ozero(X1),X1,tc_nat),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1308,
    [final] ).

cnf(c_0_1666,plain,
    ( X2 = X4
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X4,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1309,
    [final] ).

cnf(c_0_1667,plain,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    c_0_1310,
    [final] ).

cnf(c_0_1668,plain,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(X4)
    | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X1),X3) != hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X2),X3)
    | ~ class_RealVector_Oreal__vector(X4) ),
    c_0_1311,
    [final] ).

cnf(c_0_1669,plain,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X3),X1) != hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X3),X2)
    | ~ class_RealVector_Oreal__vector(X4) ),
    c_0_1312,
    [final] ).

cnf(c_0_1670,plain,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3) ),
    c_0_1313,
    [final] ).

cnf(c_0_1671,plain,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
    c_0_1314,
    [final] ).

cnf(c_0_1672,plain,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
    c_0_1315,
    [final] ).

cnf(c_0_1673,plain,
    ( c_Deriv_Odifferentiable(c_COMBK(X1,X2,X2),X3,X2)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    c_0_1316,
    [final] ).

cnf(c_0_1674,plain,
    ( c_SEQ_OLIMSEQ(c_COMBK(X1,X2,tc_nat),X1,X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    c_0_1317,
    [final] ).

cnf(c_0_1675,plain,
    ( c_SEQ_OLIMSEQ(c_COMBK(X1,X2,tc_nat),X1,X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    c_0_1318,
    [final] ).

cnf(c_0_1676,plain,
    ( c_Lim_OisUCont(X1,X2,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1319,
    [final] ).

cnf(c_0_1677,plain,
    ( c_SEQ_Oconvergent(X1,X2)
    | ~ c_SEQ_OLIMSEQ(X1,c_SEQ_Olim(X1,X2),X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    c_0_1320,
    [final] ).

cnf(c_0_1678,plain,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3) ),
    c_0_1321,
    [final] ).

cnf(c_0_1679,plain,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2) ),
    c_0_1322,
    [final] ).

cnf(c_0_1680,plain,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2) ),
    c_0_1323,
    [final] ).

cnf(c_0_1681,plain,
    ( c_Series_Osuminf(c_COMBK(c_HOL_Ozero__class_Ozero(X1),X1,tc_nat),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1324,
    [final] ).

cnf(c_0_1682,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_1325,
    [final] ).

cnf(c_0_1683,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_1326,
    [final] ).

cnf(c_0_1684,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_1327,
    [final] ).

cnf(c_0_1685,plain,
    ( c_Series_Osummable(c_COMBK(c_HOL_Ozero__class_Ozero(X1),X1,tc_nat),X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1328,
    [final] ).

cnf(c_0_1686,plain,
    ( c_SEQ_OZseq(c_COMBK(c_HOL_Ozero__class_Ozero(X1),X1,tc_nat),X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1329,
    [final] ).

cnf(c_0_1687,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2)) = hAPP(c_HOL_Oinverse__class_Oinverse(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Odivision__ring(X1) ),
    c_0_1330,
    [final] ).

cnf(c_0_1688,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)) = hAPP(c_HOL_Oinverse__class_Oinverse(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1))
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_1331,
    [final] ).

cnf(c_0_1689,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X2) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X3)
    | ~ class_RealVector_Oreal__vector(X1) ),
    c_0_1332,
    [final] ).

cnf(c_0_1690,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),c_HOL_Ozero__class_Ozero(X1))
    | ~ class_RealVector_Oreal__vector(X1) ),
    c_0_1333,
    [final] ).

cnf(c_0_1691,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2) = X3
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_1334,
    [final] ).

cnf(c_0_1692,plain,
    ( X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1335,
    [final] ).

cnf(c_0_1693,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1336,
    [final] ).

cnf(c_0_1694,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1337,
    [final] ).

cnf(c_0_1695,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1338,
    [final] ).

cnf(c_0_1696,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1339,
    [final] ).

cnf(c_0_1697,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    c_0_1340,
    [final] ).

cnf(c_0_1698,plain,
    ( c_SEQ_OLIMSEQ(X1,c_SEQ_Olim(X1,X2),X2)
    | ~ c_SEQ_Oconvergent(X1,X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    c_0_1341,
    [final] ).

cnf(c_0_1699,plain,
    ( c_Series_Osums(X1,c_Series_Osuminf(X1,X2),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1342,
    [final] ).

cnf(c_0_1700,plain,
    ( c_Series_Osums(X1,c_Series_Osuminf(X1,X2),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1343,
    [final] ).

cnf(c_0_1701,plain,
    ( X2 = c_Series_Osuminf(X1,X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1344,
    [final] ).

cnf(c_0_1702,plain,
    ( c_Series_Osuminf(X1,X3) = X2
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1345,
    [final] ).

cnf(c_0_1703,plain,
    ( c_SEQ_Olim(X1,X3) = X2
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1346,
    [final] ).

cnf(c_0_1704,plain,
    ( c_Series_Osummable(X1,X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1347,
    [final] ).

cnf(c_0_1705,plain,
    ( c_Series_Osummable(X1,X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1348,
    [final] ).

cnf(c_0_1706,plain,
    ( c_SEQ_Oconvergent(X1,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1349,
    [final] ).

cnf(c_0_1707,plain,
    ( c_SEQ_Oconvergent(X1,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1350,
    [final] ).

cnf(c_0_1708,plain,
    ( c_SEQ_OCauchy(X1,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1351,
    [final] ).

cnf(c_0_1709,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    c_0_1352,
    [final] ).

cnf(c_0_1710,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    c_0_1353,
    [final] ).

cnf(c_0_1711,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    c_0_1354,
    [final] ).

cnf(c_0_1712,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X1),X2) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    c_0_1355,
    [final] ).

cnf(c_0_1713,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1) != X3
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    c_0_1356,
    [final] ).

cnf(c_0_1714,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_1357,
    [final] ).

cnf(c_0_1715,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_1358,
    [final] ).

cnf(c_0_1716,plain,
    ( c_Lim_OisUCont(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X1,X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1359,
    [final] ).

cnf(c_0_1717,plain,
    ( c_RealVector_Obounded__linear(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X1,X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1360,
    [final] ).

cnf(c_0_1718,plain,
    ( c_Lim_OisUCont(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X1,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1361,
    [final] ).

cnf(c_0_1719,plain,
    ( c_RealVector_Obounded__linear(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X1,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1362,
    [final] ).

cnf(c_0_1720,plain,
    ( c_SEQ_OLIMSEQ(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1363,
    [final] ).

cnf(c_0_1721,plain,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    c_0_1364,
    [final] ).

cnf(c_0_1722,plain,
    ( hAPP(c_RealVector_Onorm__class_Onorm(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = hAPP(c_RealVector_Onorm__class_Onorm(X1),X2)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1365,
    [final] ).

cnf(c_0_1723,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = X3
    | hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1) != hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_1366,
    [final] ).

cnf(c_0_1724,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_1367,
    [final] ).

cnf(c_0_1725,plain,
    ( X1 = X2
    | hAPP(c_Complex_ORe,X1) != hAPP(c_Complex_ORe,X2)
    | hAPP(c_Complex_OIm,X1) != hAPP(c_Complex_OIm,X2) ),
    c_0_1368,
    [final] ).

cnf(c_0_1726,plain,
    ( X1 = X2
    | hAPP(c_HOL_Oinverse__class_Oinverse(X3),X1) != hAPP(c_HOL_Oinverse__class_Oinverse(X3),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Odivision__ring(X3) ),
    c_0_1369,
    [final] ).

cnf(c_0_1727,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1370,
    [final] ).

cnf(c_0_1728,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1371,
    [final] ).

cnf(c_0_1729,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1372,
    [final] ).

cnf(c_0_1730,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1373,
    [final] ).

cnf(c_0_1731,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Omult__zero(X1) ),
    c_0_1374,
    [final] ).

cnf(c_0_1732,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
    c_0_1375,
    [final] ).

cnf(c_0_1733,plain,
    ( hAPP(c_HOL_Oinverse__class_Oinverse(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2)) = X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Odivision__ring(X1) ),
    c_0_1376,
    [final] ).

cnf(c_0_1734,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),c_HOL_Ozero__class_Ozero(X2)) = X1
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    c_0_1377,
    [final] ).

cnf(c_0_1735,plain,
    ( X1 = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_1378,
    [final] ).

cnf(c_0_1736,plain,
    ( X1 = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    c_0_1379,
    [final] ).

cnf(c_0_1737,plain,
    ( X1 = X2
    | hAPP(c_RealVector_Oof__real(X3),X1) != hAPP(c_RealVector_Oof__real(X3),X2)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    c_0_1380,
    [final] ).

cnf(c_0_1738,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    c_0_1381,
    [final] ).

cnf(c_0_1739,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1382,
    [final] ).

cnf(c_0_1740,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    c_0_1383,
    [final] ).

cnf(c_0_1741,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1384,
    [final] ).

cnf(c_0_1742,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Oinverse__class_Oinverse(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)) = X1
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_1385,
    [final] ).

cnf(c_0_1743,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1386,
    [final] ).

cnf(c_0_1744,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1387,
    [final] ).

cnf(c_0_1745,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__vector(X1) ),
    c_0_1388,
    [final] ).

cnf(c_0_1746,plain,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__vector(X1) ),
    c_0_1389,
    [final] ).

cnf(c_0_1747,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1390,
    [final] ).

cnf(c_0_1748,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1391,
    [final] ).

cnf(c_0_1749,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1392,
    [final] ).

cnf(c_0_1750,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Omult__zero(X1) ),
    c_0_1393,
    [final] ).

cnf(c_0_1751,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
    c_0_1394,
    [final] ).

cnf(c_0_1752,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    c_0_1395,
    [final] ).

cnf(c_0_1753,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    c_0_1396,
    [final] ).

cnf(c_0_1754,plain,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1397,
    [final] ).

cnf(c_0_1755,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_1398,
    [final] ).

cnf(c_0_1756,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1399,
    [final] ).

cnf(c_0_1757,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1400,
    [final] ).

cnf(c_0_1758,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    c_0_1401,
    [final] ).

cnf(c_0_1759,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_1402,
    [final] ).

cnf(c_0_1760,plain,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2) = X2
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
    c_0_1403,
    [final] ).

cnf(c_0_1761,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_1404,
    [final] ).

cnf(c_0_1762,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1405,
    [final] ).

cnf(c_0_1763,plain,
    ( c_HOL_Ozero__class_Ozero(X1) = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2) != c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_1406,
    [final] ).

cnf(c_0_1764,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_1407,
    [final] ).

cnf(c_0_1765,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | hAPP(c_RealVector_Oof__real(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    c_0_1408,
    [final] ).

cnf(c_0_1766,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_RealVector_Onorm__class_Onorm(X2),X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1409,
    [final] ).

cnf(c_0_1767,plain,
    ( X1 = X2
    | c_Complex_Ocomplex_OComplex(X3,X1) != c_Complex_Ocomplex_OComplex(X4,X2) ),
    c_0_1410,
    [final] ).

cnf(c_0_1768,plain,
    ( X1 = X2
    | c_Complex_Ocomplex_OComplex(X1,X3) != c_Complex_Ocomplex_OComplex(X2,X4) ),
    c_0_1411,
    [final] ).

cnf(c_0_1769,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != X1
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    c_0_1412,
    [final] ).

cnf(c_0_1770,plain,
    ( hAPP(c_HOL_Oinverse__class_Oinverse(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Odivision__ring(X1) ),
    c_0_1413,
    [final] ).

cnf(c_0_1771,plain,
    ( c_SEQ_OCauchy(X1,X2)
    | ~ c_SEQ_Oconvergent(X1,X2)
    | ~ class_SEQ_Ocomplete__space(X2) ),
    c_0_1414,
    [final] ).

cnf(c_0_1772,plain,
    ( c_SEQ_Oconvergent(X1,X2)
    | ~ c_SEQ_OCauchy(X1,X2)
    | ~ class_SEQ_Ocomplete__space(X2) ),
    c_0_1415,
    [final] ).

cnf(c_0_1773,plain,
    ( c_SEQ_OCauchy(X1,X2)
    | ~ c_SEQ_Oconvergent(X1,X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    c_0_1416,
    [final] ).

cnf(c_0_1774,plain,
    ( hAPP(c_RealVector_Oof__real(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1417,
    [final] ).

cnf(c_0_1775,plain,
    ( X1 = X2
    | hAPP(c_Suc,X1) != hAPP(c_Suc,X2) ),
    c_0_1418,
    [final] ).

cnf(c_0_1776,plain,
    ( X1 = X2
    | hAPP(c_Suc,X1) != hAPP(c_Suc,X2) ),
    c_0_1419,
    [final] ).

cnf(c_0_1777,plain,
    ( hAPP(c_HOL_Oinverse__class_Oinverse(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    c_0_1420,
    [final] ).

cnf(c_0_1778,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_1421,
    [final] ).

cnf(c_0_1779,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_1422,
    [final] ).

cnf(c_0_1780,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    c_0_1423,
    [final] ).

cnf(c_0_1781,plain,
    ( class_Lattices_Oboolean__algebra(tc_fun(X2,X1))
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    c_0_1424,
    [final] ).

cnf(c_0_1782,plain,
    ( hAPP(c_RealVector_Onorm__class_Onorm(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1425,
    [final] ).

cnf(c_0_1783,plain,
    ( hAPP(c_RealVector_Oof__real(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    c_0_1426,
    [final] ).

cnf(c_0_1784,plain,
    ( c_SEQ_Oconvergent(X1,tc_RealDef_Oreal)
    | ~ c_SEQ_OCauchy(X1,tc_RealDef_Oreal) ),
    c_0_1427,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_1428_0,axiom,
    ( v_thesis____
    | ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1428]) ).

cnf(c_0_1428_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X1,tc_RealDef_Oreal)
    | v_thesis____ ),
    inference(literals_permutation,[status(thm)],[c_0_1428]) ).

cnf(c_0_1429_0,axiom,
    ( c_SEQ_OLIMSEQ(X1,X4,X3)
    | ~ c_SEQ_OLIMSEQ(c_COMBB(X1,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),X2,tc_nat,tc_nat,tc_nat),tc_nat,X3,tc_nat),X4,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1429]) ).

cnf(c_0_1429_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(c_COMBB(X1,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),X2,tc_nat,tc_nat,tc_nat),tc_nat,X3,tc_nat),X4,X3)
    | c_SEQ_OLIMSEQ(X1,X4,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1429]) ).

cnf(c_0_1429_2,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ c_SEQ_OLIMSEQ(c_COMBB(X1,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),X2,tc_nat,tc_nat,tc_nat),tc_nat,X3,tc_nat),X4,X3)
    | c_SEQ_OLIMSEQ(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1429]) ).

cnf(c_0_1430_0,axiom,
    ( c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X5),X1,X5,tc_fun(X5,X5),X4),X6,X4,X5,X5),X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X3),X6),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1430]) ).

cnf(c_0_1430_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X5),X1,X5,tc_fun(X5,X5),X4),X6,X4,X5,X5),X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X3),X6),X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1430]) ).

cnf(c_0_1430_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X5),X1,X5,tc_fun(X5,X5),X4),X6,X4,X5,X5),X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X3),X6),X4,X5)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1430]) ).

cnf(c_0_1430_3,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X5),X1,X5,tc_fun(X5,X5),X4),X6,X4,X5,X5),X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X3),X6),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1430]) ).

cnf(c_0_1431_0,axiom,
    ( c_Limits_Otendsto(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X5),X1,X5,tc_fun(X5,X5),X4),X6,X4,X5,X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X6),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1431]) ).

cnf(c_0_1431_1,axiom,
    ( ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | c_Limits_Otendsto(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X5),X1,X5,tc_fun(X5,X5),X4),X6,X4,X5,X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X6),X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1431]) ).

cnf(c_0_1431_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | c_Limits_Otendsto(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X5),X1,X5,tc_fun(X5,X5),X4),X6,X4,X5,X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X6),X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1431]) ).

cnf(c_0_1432_0,axiom,
    ( c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5),X1,tc_RealDef_Oreal,tc_fun(X5,X5),X4),X6,X4,X5,X5),X2,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X3),X6),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1432]) ).

cnf(c_0_1432_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,X3,X4,tc_RealDef_Oreal)
    | c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5),X1,tc_RealDef_Oreal,tc_fun(X5,X5),X4),X6,X4,X5,X5),X2,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X3),X6),X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1432]) ).

cnf(c_0_1432_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_RealDef_Oreal)
    | c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5),X1,tc_RealDef_Oreal,tc_fun(X5,X5),X4),X6,X4,X5,X5),X2,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X3),X6),X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1432]) ).

cnf(c_0_1432_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_RealDef_Oreal)
    | c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5),X1,tc_RealDef_Oreal,tc_fun(X5,X5),X4),X6,X4,X5,X5),X2,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X3),X6),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1432]) ).

cnf(c_0_1433_0,axiom,
    ( c_Limits_Otendsto(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5),X1,tc_RealDef_Oreal,tc_fun(X5,X5),X4),X6,X4,X5,X5),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X2),X6),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1433]) ).

cnf(c_0_1433_1,axiom,
    ( ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_RealDef_Oreal)
    | c_Limits_Otendsto(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5),X1,tc_RealDef_Oreal,tc_fun(X5,X5),X4),X6,X4,X5,X5),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X2),X6),X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1433]) ).

cnf(c_0_1433_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_RealDef_Oreal)
    | c_Limits_Otendsto(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5),X1,tc_RealDef_Oreal,tc_fun(X5,X5),X4),X6,X4,X5,X5),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X2),X6),X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1433]) ).

cnf(c_0_1434_0,axiom,
    ( c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X3),X1,X3,tc_fun(X3,X3),X4),X5,X4,X3,X3),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1434]) ).

cnf(c_0_1434_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X3),X1,X3,tc_fun(X3,X3),X4),X5,X4,X3,X3),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1434]) ).

cnf(c_0_1434_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X3),X1,X3,tc_fun(X3,X3),X4),X5,X4,X3,X3),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1434]) ).

cnf(c_0_1434_3,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X3),X1,X3,tc_fun(X3,X3),X4),X5,X4,X3,X3),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1434]) ).

cnf(c_0_1435_0,axiom,
    ( c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X3),X1,X3,tc_fun(X3,X3),X4),X5,X4,X3,X3),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1435]) ).

cnf(c_0_1435_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X3),X1,X3,tc_fun(X3,X3),X4),X5,X4,X3,X3),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1435]) ).

cnf(c_0_1435_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X3),X1,X3,tc_fun(X3,X3),X4),X5,X4,X3,X3),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1435]) ).

cnf(c_0_1435_3,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X3),X1,X3,tc_fun(X3,X3),X4),X5,X4,X3,X3),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1435]) ).

cnf(c_0_1436_0,axiom,
    ( c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4),X1,tc_RealDef_Oreal,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1436]) ).

cnf(c_0_1436_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4),X1,tc_RealDef_Oreal,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1436]) ).

cnf(c_0_1436_2,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4),X1,tc_RealDef_Oreal,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1436]) ).

cnf(c_0_1436_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4),X1,tc_RealDef_Oreal,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1436]) ).

cnf(c_0_1437_0,axiom,
    ( c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4),X1,tc_RealDef_Oreal,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1437]) ).

cnf(c_0_1437_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4),X1,tc_RealDef_Oreal,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1437]) ).

cnf(c_0_1437_2,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4),X1,tc_RealDef_Oreal,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1437]) ).

cnf(c_0_1437_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | c_Lim_OLIM(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4),X1,tc_RealDef_Oreal,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1437]) ).

cnf(c_0_1438_0,axiom,
    ( c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X1),X2,X1,tc_fun(X1,X1),X4),X5,X4,X1,X1),X3,X4,X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Finite__Set_Osetsum(X2,X3,X4,X1)),X5)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1438]) ).

cnf(c_0_1438_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X1),X2,X1,tc_fun(X1,X1),X4),X5,X4,X1,X1),X3,X4,X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Finite__Set_Osetsum(X2,X3,X4,X1)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1438]) ).

cnf(c_0_1439_0,axiom,
    ( c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X1),X2,X1,tc_fun(X1,X1),X4),X5,X4,X1,X1),X3,X4,X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Finite__Set_Osetsum(X2,X3,X4,X1)),X5)
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1439]) ).

cnf(c_0_1439_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__0(X1)
    | c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X1),X2,X1,tc_fun(X1,X1),X4),X5,X4,X1,X1),X3,X4,X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_Finite__Set_Osetsum(X2,X3,X4,X1)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1439]) ).

cnf(c_0_1440_0,axiom,
    ( c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X1),X2,tc_RealDef_Oreal,tc_fun(X1,X1),X4),X5,X4,X1,X1),X3,X4,X1) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),c_Finite__Set_Osetsum(X2,X3,X4,tc_RealDef_Oreal)),X5)
    | ~ class_RealVector_Oreal__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1440]) ).

cnf(c_0_1440_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X1)
    | c_Finite__Set_Osetsum(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X1),X2,tc_RealDef_Oreal,tc_fun(X1,X1),X4),X5,X4,X1,X1),X3,X4,X1) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),c_Finite__Set_Osetsum(X2,X3,X4,tc_RealDef_Oreal)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1440]) ).

cnf(c_0_1441_0,axiom,
    ( c_Limits_OZfun(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X4),X1,X4,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1441]) ).

cnf(c_0_1441_1,axiom,
    ( ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X4),X1,X4,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1441]) ).

cnf(c_0_1441_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X4),X1,X4,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1441]) ).

cnf(c_0_1442_0,axiom,
    ( c_Limits_OZfun(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X4),X1,X4,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1442]) ).

cnf(c_0_1442_1,axiom,
    ( ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X4),X1,X4,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1442]) ).

cnf(c_0_1442_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBC(c_COMBB(c_HOL_Otimes__class_Otimes(X4),X1,X4,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1442]) ).

cnf(c_0_1443_0,axiom,
    ( c_Limits_OZfun(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4),X1,tc_RealDef_Oreal,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1443]) ).

cnf(c_0_1443_1,axiom,
    ( ~ c_Limits_OZfun(X1,X2,X3,tc_RealDef_Oreal)
    | c_Limits_OZfun(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4),X1,tc_RealDef_Oreal,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1443]) ).

cnf(c_0_1443_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_RealDef_Oreal)
    | c_Limits_OZfun(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4),X1,tc_RealDef_Oreal,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1443]) ).

cnf(c_0_1444_0,axiom,
    ( c_Limits_OZfun(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4),X1,tc_RealDef_Oreal,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1444]) ).

cnf(c_0_1444_1,axiom,
    ( ~ c_Limits_OZfun(X1,X2,X3,tc_RealDef_Oreal)
    | c_Limits_OZfun(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4),X1,tc_RealDef_Oreal,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1444]) ).

cnf(c_0_1444_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_RealDef_Oreal)
    | c_Limits_OZfun(c_COMBC(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4),X1,tc_RealDef_Oreal,tc_fun(X4,X4),X3),X5,X3,X4,X4),X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1444]) ).

cnf(c_0_1445_0,axiom,
    ( c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1445]) ).

cnf(c_0_1445_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1445]) ).

cnf(c_0_1445_2,axiom,
    ( ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1445]) ).

cnf(c_0_1445_3,axiom,
    ( ~ class_RealVector_Ometric__space(X7)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1445]) ).

cnf(c_0_1445_4,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1445]) ).

cnf(c_0_1445_5,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1445]) ).

cnf(c_0_1446_0,axiom,
    ( c_SEQ_OLIMSEQ(c_COMBB(X1,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),X4,tc_nat,tc_nat,tc_nat),tc_nat,X3,tc_nat),X2,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1446]) ).

cnf(c_0_1446_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(X1,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),X4,tc_nat,tc_nat,tc_nat),tc_nat,X3,tc_nat),X2,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1446]) ).

cnf(c_0_1446_2,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(X1,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),X4,tc_nat,tc_nat,tc_nat),tc_nat,X3,tc_nat),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1446]) ).

cnf(c_0_1447_0,axiom,
    ( c_Series_Osummable(c_COMBB(X1,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),X3,tc_nat,tc_nat,tc_nat),tc_nat,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1447]) ).

cnf(c_0_1447_1,axiom,
    ( ~ c_Series_Osummable(X1,X2)
    | c_Series_Osummable(c_COMBB(X1,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),X3,tc_nat,tc_nat,tc_nat),tc_nat,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1447]) ).

cnf(c_0_1447_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Series_Osummable(X1,X2)
    | c_Series_Osummable(c_COMBB(X1,c_COMBC(c_HOL_Oplus__class_Oplus(tc_nat),X3,tc_nat,tc_nat,tc_nat),tc_nat,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1447]) ).

cnf(c_0_1448_0,axiom,
    ( c_Lim_OLIM(X1,X3,hAPP(X1,X3),X2,X4)
    | ~ c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X2,X4,X2),c_HOL_Ozero__class_Ozero(X2),hAPP(X1,X3),X2,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1448]) ).

cnf(c_0_1448_1,axiom,
    ( ~ c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X2,X4,X2),c_HOL_Ozero__class_Ozero(X2),hAPP(X1,X3),X2,X4)
    | c_Lim_OLIM(X1,X3,hAPP(X1,X3),X2,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1448]) ).

cnf(c_0_1448_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X2,X4,X2),c_HOL_Ozero__class_Ozero(X2),hAPP(X1,X3),X2,X4)
    | c_Lim_OLIM(X1,X3,hAPP(X1,X3),X2,X4)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1448]) ).

cnf(c_0_1448_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X2,X4,X2),c_HOL_Ozero__class_Ozero(X2),hAPP(X1,X3),X2,X4)
    | c_Lim_OLIM(X1,X3,hAPP(X1,X3),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1448]) ).

cnf(c_0_1449_0,axiom,
    ( c_Lim_OLIM(X1,X3,X5,X2,X4)
    | ~ c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X2,X4,X2),c_HOL_Ozero__class_Ozero(X2),X5,X2,X4)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Ometric__space(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1449]) ).

cnf(c_0_1449_1,axiom,
    ( ~ c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X2,X4,X2),c_HOL_Ozero__class_Ozero(X2),X5,X2,X4)
    | c_Lim_OLIM(X1,X3,X5,X2,X4)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Ometric__space(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1449]) ).

cnf(c_0_1449_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X2,X4,X2),c_HOL_Ozero__class_Ozero(X2),X5,X2,X4)
    | c_Lim_OLIM(X1,X3,X5,X2,X4)
    | ~ class_RealVector_Ometric__space(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1449]) ).

cnf(c_0_1449_3,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X2,X4,X2),c_HOL_Ozero__class_Ozero(X2),X5,X2,X4)
    | c_Lim_OLIM(X1,X3,X5,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1449]) ).

cnf(c_0_1450_0,axiom,
    ( c_Limits_Otendsto(X2,X4,X5,X3,X1)
    | ~ c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X4),X5,X3,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1450]) ).

cnf(c_0_1450_1,axiom,
    ( ~ c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X4),X5,X3,X1)
    | c_Limits_Otendsto(X2,X4,X5,X3,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1450]) ).

cnf(c_0_1450_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X4),X5,X3,X1)
    | c_Limits_Otendsto(X2,X4,X5,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1450]) ).

cnf(c_0_1451_0,axiom,
    ( c_Lim_OLIM(X2,X4,c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,X3),X4,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1451]) ).

cnf(c_0_1451_1,axiom,
    ( ~ c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,X3),X4,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | c_Lim_OLIM(X2,X4,c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1451]) ).

cnf(c_0_1451_2,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,X3),X4,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | c_Lim_OLIM(X2,X4,c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1451]) ).

cnf(c_0_1451_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,X3),X4,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | c_Lim_OLIM(X2,X4,c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1451]) ).

cnf(c_0_1452_0,axiom,
    ( c_Lim_OisCont(X1,X3,X2,X4)
    | ~ c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X2,X4,X2),c_HOL_Ozero__class_Ozero(X2),hAPP(X1,X3),X2,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1452]) ).

cnf(c_0_1452_1,axiom,
    ( ~ c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X2,X4,X2),c_HOL_Ozero__class_Ozero(X2),hAPP(X1,X3),X2,X4)
    | c_Lim_OisCont(X1,X3,X2,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1452]) ).

cnf(c_0_1452_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X2,X4,X2),c_HOL_Ozero__class_Ozero(X2),hAPP(X1,X3),X2,X4)
    | c_Lim_OisCont(X1,X3,X2,X4)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1452]) ).

cnf(c_0_1452_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X2,X4,X2),c_HOL_Ozero__class_Ozero(X2),hAPP(X1,X3),X2,X4)
    | c_Lim_OisCont(X1,X3,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1452]) ).

cnf(c_0_1453_0,axiom,
    ( c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1453]) ).

cnf(c_0_1453_1,axiom,
    ( ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1453]) ).

cnf(c_0_1453_2,axiom,
    ( ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1453]) ).

cnf(c_0_1453_3,axiom,
    ( ~ class_RealVector_Ometric__space(X7)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1453]) ).

cnf(c_0_1453_4,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1453]) ).

cnf(c_0_1453_5,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1453]) ).

cnf(c_0_1454_0,axiom,
    ( c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X5),X6),X1,X5,X5,X4),X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X6),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1454]) ).

cnf(c_0_1454_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X5),X6),X1,X5,X5,X4),X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X6),X3),X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1454]) ).

cnf(c_0_1454_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X5),X6),X1,X5,X5,X4),X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X6),X3),X4,X5)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1454]) ).

cnf(c_0_1454_3,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X5),X6),X1,X5,X5,X4),X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X6),X3),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1454]) ).

cnf(c_0_1455_0,axiom,
    ( c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X6),X1,X5,X5,X4),X2,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X6),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1455]) ).

cnf(c_0_1455_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X6),X1,X5,X5,X4),X2,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X6),X3),X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1455]) ).

cnf(c_0_1455_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X6),X1,X5,X5,X4),X2,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X6),X3),X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1455]) ).

cnf(c_0_1455_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X6),X1,X5,X5,X4),X2,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X6),X3),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1455]) ).

cnf(c_0_1456_0,axiom,
    ( c_Limits_Otendsto(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X5),X6),X1,X5,X5,X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X6),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1456]) ).

cnf(c_0_1456_1,axiom,
    ( ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | c_Limits_Otendsto(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X5),X6),X1,X5,X5,X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X6),X2),X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1456]) ).

cnf(c_0_1456_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | c_Limits_Otendsto(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X5),X6),X1,X5,X5,X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X6),X2),X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1456]) ).

cnf(c_0_1457_0,axiom,
    ( c_Limits_Otendsto(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X6),X1,X5,X5,X4),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X6),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1457]) ).

cnf(c_0_1457_1,axiom,
    ( ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | c_Limits_Otendsto(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X6),X1,X5,X5,X4),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X6),X2),X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1457]) ).

cnf(c_0_1457_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | c_Limits_Otendsto(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X6),X1,X5,X5,X4),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X5),X6),X2),X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1457]) ).

cnf(c_0_1458_0,axiom,
    ( c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X3,X4,X3),c_HOL_Ozero__class_Ozero(X3),hAPP(X1,X2),X3,X4)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1458]) ).

cnf(c_0_1458_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X3,X4,X3),c_HOL_Ozero__class_Ozero(X3),hAPP(X1,X2),X3,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1458]) ).

cnf(c_0_1458_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X3,X4,X3),c_HOL_Ozero__class_Ozero(X3),hAPP(X1,X2),X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1458]) ).

cnf(c_0_1458_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X3,X4,X3),c_HOL_Ozero__class_Ozero(X3),hAPP(X1,X2),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1458]) ).

cnf(c_0_1459_0,axiom,
    ( c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X7),X5,hAPP(X1,X6),X7,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Lim_OLIM(X4,X5,X6,X7,X2)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1459]) ).

cnf(c_0_1459_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X7),X5,hAPP(X1,X6),X7,X3)
    | ~ c_Lim_OLIM(X4,X5,X6,X7,X2)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1459]) ).

cnf(c_0_1459_2,axiom,
    ( ~ c_Lim_OLIM(X4,X5,X6,X7,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X7),X5,hAPP(X1,X6),X7,X3)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1459]) ).

cnf(c_0_1459_3,axiom,
    ( ~ class_RealVector_Ometric__space(X7)
    | ~ c_Lim_OLIM(X4,X5,X6,X7,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X7),X5,hAPP(X1,X6),X7,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1459]) ).

cnf(c_0_1459_4,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ c_Lim_OLIM(X4,X5,X6,X7,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X7),X5,hAPP(X1,X6),X7,X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1459]) ).

cnf(c_0_1459_5,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ c_Lim_OLIM(X4,X5,X6,X7,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X7),X5,hAPP(X1,X6),X7,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1459]) ).

cnf(c_0_1460_0,axiom,
    ( c_Limits_Otendsto(c_COMBB(X1,X4,X2,X3,X7),hAPP(X1,X5),X6,X7,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Limits_Otendsto(X4,X5,X6,X7,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1460]) ).

cnf(c_0_1460_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Limits_Otendsto(c_COMBB(X1,X4,X2,X3,X7),hAPP(X1,X5),X6,X7,X3)
    | ~ c_Limits_Otendsto(X4,X5,X6,X7,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1460]) ).

cnf(c_0_1460_2,axiom,
    ( ~ c_Limits_Otendsto(X4,X5,X6,X7,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Limits_Otendsto(c_COMBB(X1,X4,X2,X3,X7),hAPP(X1,X5),X6,X7,X3)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1460]) ).

cnf(c_0_1460_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Limits_Otendsto(X4,X5,X6,X7,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Limits_Otendsto(c_COMBB(X1,X4,X2,X3,X7),hAPP(X1,X5),X6,X7,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1460]) ).

cnf(c_0_1460_4,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Limits_Otendsto(X4,X5,X6,X7,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Limits_Otendsto(c_COMBB(X1,X4,X2,X3,X7),hAPP(X1,X5),X6,X7,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1460]) ).

cnf(c_0_1461_0,axiom,
    ( c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X6),X5,c_HOL_Ozero__class_Ozero(X3),X6,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Lim_OLIM(X4,X5,c_HOL_Ozero__class_Ozero(X2),X6,X2)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1461]) ).

cnf(c_0_1461_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X6),X5,c_HOL_Ozero__class_Ozero(X3),X6,X3)
    | ~ c_Lim_OLIM(X4,X5,c_HOL_Ozero__class_Ozero(X2),X6,X2)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1461]) ).

cnf(c_0_1461_2,axiom,
    ( ~ c_Lim_OLIM(X4,X5,c_HOL_Ozero__class_Ozero(X2),X6,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X6),X5,c_HOL_Ozero__class_Ozero(X3),X6,X3)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1461]) ).

cnf(c_0_1461_3,axiom,
    ( ~ class_RealVector_Ometric__space(X6)
    | ~ c_Lim_OLIM(X4,X5,c_HOL_Ozero__class_Ozero(X2),X6,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X6),X5,c_HOL_Ozero__class_Ozero(X3),X6,X3)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1461]) ).

cnf(c_0_1461_4,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ c_Lim_OLIM(X4,X5,c_HOL_Ozero__class_Ozero(X2),X6,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X6),X5,c_HOL_Ozero__class_Ozero(X3),X6,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1461]) ).

cnf(c_0_1461_5,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ c_Lim_OLIM(X4,X5,c_HOL_Ozero__class_Ozero(X2),X6,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X6),X5,c_HOL_Ozero__class_Ozero(X3),X6,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1461]) ).

cnf(c_0_1462_0,axiom,
    ( c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X5),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1462]) ).

cnf(c_0_1462_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X5),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1462]) ).

cnf(c_0_1462_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X5),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1462]) ).

cnf(c_0_1462_3,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X5),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1462]) ).

cnf(c_0_1463_0,axiom,
    ( c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X5),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1463]) ).

cnf(c_0_1463_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X5),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1463]) ).

cnf(c_0_1463_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X5),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1463]) ).

cnf(c_0_1463_3,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X5),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1463]) ).

cnf(c_0_1464_0,axiom,
    ( c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X5),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1464]) ).

cnf(c_0_1464_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X5),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1464]) ).

cnf(c_0_1464_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X5),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1464]) ).

cnf(c_0_1464_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X5),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1464]) ).

cnf(c_0_1465_0,axiom,
    ( c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X5),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1465]) ).

cnf(c_0_1465_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X5),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1465]) ).

cnf(c_0_1465_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X5),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1465]) ).

cnf(c_0_1465_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X5),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1465]) ).

cnf(c_0_1466_0,axiom,
    ( c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X4),X2),X4,X5,X4),c_HOL_Ozero__class_Ozero(X4),X3,X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_RealVector_Ometric__space(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1466]) ).

cnf(c_0_1466_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X4),X2),X4,X5,X4),c_HOL_Ozero__class_Ozero(X4),X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_RealVector_Ometric__space(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1466]) ).

cnf(c_0_1466_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X4),X2),X4,X5,X4),c_HOL_Ozero__class_Ozero(X4),X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1466]) ).

cnf(c_0_1466_3,axiom,
    ( ~ class_RealVector_Ometric__space(X5)
    | ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X4),X2),X4,X5,X4),c_HOL_Ozero__class_Ozero(X4),X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1466]) ).

cnf(c_0_1467_0,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X5)
    | c_Lim_OLIM(c_COMBB(c_HOL_Oinverse__class_Oinverse(X5),X1,X5,X5,X4),X2,hAPP(c_HOL_Oinverse__class_Oinverse(X5),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__div__algebra(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1467]) ).

cnf(c_0_1467_1,axiom,
    ( c_Lim_OLIM(c_COMBB(c_HOL_Oinverse__class_Oinverse(X5),X1,X5,X5,X4),X2,hAPP(c_HOL_Oinverse__class_Oinverse(X5),X3),X4,X5)
    | X3 = c_HOL_Ozero__class_Ozero(X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__div__algebra(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1467]) ).

cnf(c_0_1467_2,axiom,
    ( ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(c_HOL_Oinverse__class_Oinverse(X5),X1,X5,X5,X4),X2,hAPP(c_HOL_Oinverse__class_Oinverse(X5),X3),X4,X5)
    | X3 = c_HOL_Ozero__class_Ozero(X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__div__algebra(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1467]) ).

cnf(c_0_1467_3,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(c_HOL_Oinverse__class_Oinverse(X5),X1,X5,X5,X4),X2,hAPP(c_HOL_Oinverse__class_Oinverse(X5),X3),X4,X5)
    | X3 = c_HOL_Ozero__class_Ozero(X5)
    | ~ class_RealVector_Oreal__normed__div__algebra(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1467]) ).

cnf(c_0_1467_4,axiom,
    ( ~ class_RealVector_Oreal__normed__div__algebra(X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(c_HOL_Oinverse__class_Oinverse(X5),X1,X5,X5,X4),X2,hAPP(c_HOL_Oinverse__class_Oinverse(X5),X3),X4,X5)
    | X3 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1467]) ).

cnf(c_0_1468_0,axiom,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X5),X1,tc_RealDef_Oreal,X5,X4),X2,hAPP(c_RealVector_Oof__real(X5),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__algebra__1(X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1468]) ).

cnf(c_0_1468_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,X3,X4,tc_RealDef_Oreal)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X5),X1,tc_RealDef_Oreal,X5,X4),X2,hAPP(c_RealVector_Oof__real(X5),X3),X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__algebra__1(X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1468]) ).

cnf(c_0_1468_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_RealDef_Oreal)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X5),X1,tc_RealDef_Oreal,X5,X4),X2,hAPP(c_RealVector_Oof__real(X5),X3),X4,X5)
    | ~ class_RealVector_Oreal__algebra__1(X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1468]) ).

cnf(c_0_1468_3,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_RealDef_Oreal)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X5),X1,tc_RealDef_Oreal,X5,X4),X2,hAPP(c_RealVector_Oof__real(X5),X3),X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1468]) ).

cnf(c_0_1468_4,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X5)
    | ~ class_RealVector_Oreal__algebra__1(X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_RealDef_Oreal)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X5),X1,tc_RealDef_Oreal,X5,X4),X2,hAPP(c_RealVector_Oof__real(X5),X3),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1468]) ).

cnf(c_0_1469_0,axiom,
    ( c_Lim_OLIM(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X1,X5,X5,X4),X2,hAPP(c_HOL_Ouminus__class_Ouminus(X5),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1469]) ).

cnf(c_0_1469_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X1,X5,X5,X4),X2,hAPP(c_HOL_Ouminus__class_Ouminus(X5),X3),X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1469]) ).

cnf(c_0_1469_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X1,X5,X5,X4),X2,hAPP(c_HOL_Ouminus__class_Ouminus(X5),X3),X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1469]) ).

cnf(c_0_1469_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X1,X5,X5,X4),X2,hAPP(c_HOL_Ouminus__class_Ouminus(X5),X3),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1469]) ).

cnf(c_0_1470_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X5)
    | c_Limits_Otendsto(c_COMBB(c_HOL_Oinverse__class_Oinverse(X5),X1,X5,X5,X4),hAPP(c_HOL_Oinverse__class_Oinverse(X5),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__div__algebra(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1470]) ).

cnf(c_0_1470_1,axiom,
    ( c_Limits_Otendsto(c_COMBB(c_HOL_Oinverse__class_Oinverse(X5),X1,X5,X5,X4),hAPP(c_HOL_Oinverse__class_Oinverse(X5),X2),X3,X4,X5)
    | X2 = c_HOL_Ozero__class_Ozero(X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__div__algebra(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1470]) ).

cnf(c_0_1470_2,axiom,
    ( ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | c_Limits_Otendsto(c_COMBB(c_HOL_Oinverse__class_Oinverse(X5),X1,X5,X5,X4),hAPP(c_HOL_Oinverse__class_Oinverse(X5),X2),X3,X4,X5)
    | X2 = c_HOL_Ozero__class_Ozero(X5)
    | ~ class_RealVector_Oreal__normed__div__algebra(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1470]) ).

cnf(c_0_1470_3,axiom,
    ( ~ class_RealVector_Oreal__normed__div__algebra(X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | c_Limits_Otendsto(c_COMBB(c_HOL_Oinverse__class_Oinverse(X5),X1,X5,X5,X4),hAPP(c_HOL_Oinverse__class_Oinverse(X5),X2),X3,X4,X5)
    | X2 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1470]) ).

cnf(c_0_1471_0,axiom,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X1,X5,tc_RealDef_Oreal,X4),X2,hAPP(c_RealVector_Onorm__class_Onorm(X5),X3),X4,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1471]) ).

cnf(c_0_1471_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X1,X5,tc_RealDef_Oreal,X4),X2,hAPP(c_RealVector_Onorm__class_Onorm(X5),X3),X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1471]) ).

cnf(c_0_1471_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X1,X5,tc_RealDef_Oreal,X4),X2,hAPP(c_RealVector_Onorm__class_Onorm(X5),X3),X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1471]) ).

cnf(c_0_1471_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X1,X5,tc_RealDef_Oreal,X4),X2,hAPP(c_RealVector_Onorm__class_Onorm(X5),X3),X4,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1471]) ).

cnf(c_0_1472_0,axiom,
    ( c_Limits_Otendsto(c_COMBB(c_RealVector_Oof__real(X5),X1,tc_RealDef_Oreal,X5,X4),hAPP(c_RealVector_Oof__real(X5),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1472]) ).

cnf(c_0_1472_1,axiom,
    ( ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_RealDef_Oreal)
    | c_Limits_Otendsto(c_COMBB(c_RealVector_Oof__real(X5),X1,tc_RealDef_Oreal,X5,X4),hAPP(c_RealVector_Oof__real(X5),X2),X3,X4,X5)
    | ~ class_RealVector_Oreal__algebra__1(X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1472]) ).

cnf(c_0_1472_2,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_RealDef_Oreal)
    | c_Limits_Otendsto(c_COMBB(c_RealVector_Oof__real(X5),X1,tc_RealDef_Oreal,X5,X4),hAPP(c_RealVector_Oof__real(X5),X2),X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1472]) ).

cnf(c_0_1472_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X5)
    | ~ class_RealVector_Oreal__algebra__1(X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_RealDef_Oreal)
    | c_Limits_Otendsto(c_COMBB(c_RealVector_Oof__real(X5),X1,tc_RealDef_Oreal,X5,X4),hAPP(c_RealVector_Oof__real(X5),X2),X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1472]) ).

cnf(c_0_1473_0,axiom,
    ( c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X1,X5,X5,X4),hAPP(c_HOL_Ouminus__class_Ouminus(X5),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1473]) ).

cnf(c_0_1473_1,axiom,
    ( ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X1,X5,X5,X4),hAPP(c_HOL_Ouminus__class_Ouminus(X5),X2),X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1473]) ).

cnf(c_0_1473_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X1,X5,X5,X4),hAPP(c_HOL_Ouminus__class_Ouminus(X5),X2),X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1473]) ).

cnf(c_0_1474_0,axiom,
    ( c_Limits_Otendsto(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X1,X5,tc_RealDef_Oreal,X4),hAPP(c_RealVector_Onorm__class_Onorm(X5),X2),X3,X4,tc_RealDef_Oreal)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1474]) ).

cnf(c_0_1474_1,axiom,
    ( ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | c_Limits_Otendsto(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X1,X5,tc_RealDef_Oreal,X4),hAPP(c_RealVector_Onorm__class_Onorm(X5),X2),X3,X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1474]) ).

cnf(c_0_1474_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | c_Limits_Otendsto(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X1,X5,tc_RealDef_Oreal,X4),hAPP(c_RealVector_Onorm__class_Onorm(X5),X2),X3,X4,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1474]) ).

cnf(c_0_1475_0,axiom,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__algebra__1(X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1475]) ).

cnf(c_0_1475_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__algebra__1(X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1475]) ).

cnf(c_0_1475_2,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_RealVector_Oreal__algebra__1(X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1475]) ).

cnf(c_0_1475_3,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X4)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1475]) ).

cnf(c_0_1475_4,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_RealVector_Oreal__algebra__1(X4)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1475]) ).

cnf(c_0_1476_0,axiom,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X1,X3,tc_RealDef_Oreal,X4),X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1476]) ).

cnf(c_0_1476_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X1,X3,tc_RealDef_Oreal,X4),X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1476]) ).

cnf(c_0_1476_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X1,X3,tc_RealDef_Oreal,X4),X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1476]) ).

cnf(c_0_1476_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X1,X3,tc_RealDef_Oreal,X4),X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1476]) ).

cnf(c_0_1477_0,axiom,
    ( c_Lim_OLIM(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),X2,hAPP(c_Complex_ORe,X3),X4,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | ~ class_RealVector_Ometric__space(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1477]) ).

cnf(c_0_1477_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | c_Lim_OLIM(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),X2,hAPP(c_Complex_ORe,X3),X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1477]) ).

cnf(c_0_1477_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | c_Lim_OLIM(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),X2,hAPP(c_Complex_ORe,X3),X4,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1477]) ).

cnf(c_0_1478_0,axiom,
    ( c_Lim_OLIM(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),X2,hAPP(c_Complex_OIm,X3),X4,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | ~ class_RealVector_Ometric__space(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1478]) ).

cnf(c_0_1478_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | c_Lim_OLIM(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),X2,hAPP(c_Complex_OIm,X3),X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1478]) ).

cnf(c_0_1478_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | c_Lim_OLIM(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),X2,hAPP(c_Complex_OIm,X3),X4,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1478]) ).

cnf(c_0_1479_0,axiom,
    ( c_Limits_Otendsto(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),hAPP(c_Complex_ORe,X2),X3,X4,tc_RealDef_Oreal)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1479]) ).

cnf(c_0_1479_1,axiom,
    ( ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | c_Limits_Otendsto(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),hAPP(c_Complex_ORe,X2),X3,X4,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1479]) ).

cnf(c_0_1480_0,axiom,
    ( c_Limits_Otendsto(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),hAPP(c_Complex_OIm,X2),X3,X4,tc_RealDef_Oreal)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1480]) ).

cnf(c_0_1480_1,axiom,
    ( ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | c_Limits_Otendsto(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),hAPP(c_Complex_OIm,X2),X3,X4,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1480]) ).

cnf(c_0_1481_0,axiom,
    ( hAPP(X6,c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1(X6,X2,X4)) = X2
    | c_SEQ_OLIMSEQ(c_COMBB(X1,X6,X4,X5,tc_nat),X3,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ c_SEQ_OLIMSEQ(X6,X2,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1481]) ).

cnf(c_0_1481_1,axiom,
    ( c_SEQ_OLIMSEQ(c_COMBB(X1,X6,X4,X5,tc_nat),X3,X5)
    | hAPP(X6,c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1(X6,X2,X4)) = X2
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ c_SEQ_OLIMSEQ(X6,X2,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1481]) ).

cnf(c_0_1481_2,axiom,
    ( ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_SEQ_OLIMSEQ(c_COMBB(X1,X6,X4,X5,tc_nat),X3,X5)
    | hAPP(X6,c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1(X6,X2,X4)) = X2
    | ~ c_SEQ_OLIMSEQ(X6,X2,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1481]) ).

cnf(c_0_1481_3,axiom,
    ( ~ c_SEQ_OLIMSEQ(X6,X2,X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_SEQ_OLIMSEQ(c_COMBB(X1,X6,X4,X5,tc_nat),X3,X5)
    | hAPP(X6,c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1(X6,X2,X4)) = X2
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1481]) ).

cnf(c_0_1481_4,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_SEQ_OLIMSEQ(X6,X2,X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_SEQ_OLIMSEQ(c_COMBB(X1,X6,X4,X5,tc_nat),X3,X5)
    | hAPP(X6,c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1(X6,X2,X4)) = X2
    | ~ class_RealVector_Ometric__space(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1481]) ).

cnf(c_0_1481_5,axiom,
    ( ~ class_RealVector_Ometric__space(X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_SEQ_OLIMSEQ(X6,X2,X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_SEQ_OLIMSEQ(c_COMBB(X1,X6,X4,X5,tc_nat),X3,X5)
    | hAPP(X6,c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1(X6,X2,X4)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1481]) ).

cnf(c_0_1482_0,axiom,
    ( c_Limits_OZfun(X2,X4,X3,X1)
    | ~ c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,X3),X4,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1482]) ).

cnf(c_0_1482_1,axiom,
    ( ~ c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,X3),X4,X3,tc_RealDef_Oreal)
    | c_Limits_OZfun(X2,X4,X3,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1482]) ).

cnf(c_0_1482_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,X3),X4,X3,tc_RealDef_Oreal)
    | c_Limits_OZfun(X2,X4,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1482]) ).

cnf(c_0_1483_0,axiom,
    ( c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X3,X4,X3),c_HOL_Ozero__class_Ozero(X3),hAPP(X1,X2),X3,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1483]) ).

cnf(c_0_1483_1,axiom,
    ( ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X3,X4,X3),c_HOL_Ozero__class_Ozero(X3),hAPP(X1,X2),X3,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1483]) ).

cnf(c_0_1483_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X3,X4,X3),c_HOL_Ozero__class_Ozero(X3),hAPP(X1,X2),X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1483]) ).

cnf(c_0_1483_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OLIM(c_COMBB(X1,hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X3,X4,X3),c_HOL_Ozero__class_Ozero(X3),hAPP(X1,X2),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1483]) ).

cnf(c_0_1484_0,axiom,
    ( c_SEQ_OLIMSEQ(X2,X3,X1)
    | ~ c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1484]) ).

cnf(c_0_1484_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | c_SEQ_OLIMSEQ(X2,X3,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1484]) ).

cnf(c_0_1484_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | c_SEQ_OLIMSEQ(X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1484]) ).

cnf(c_0_1485_0,axiom,
    ( c_SEQ_OLIMSEQ(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1485]) ).

cnf(c_0_1485_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_SEQ_OLIMSEQ(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1485]) ).

cnf(c_0_1485_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_SEQ_OLIMSEQ(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1485]) ).

cnf(c_0_1486_0,axiom,
    ( c_SEQ_OLIMSEQ(X1,X3,X2)
    | ~ c_SEQ_OLIMSEQ(c_COMBB(X1,c_Suc,tc_nat,X2,tc_nat),X3,X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1486]) ).

cnf(c_0_1486_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(c_COMBB(X1,c_Suc,tc_nat,X2,tc_nat),X3,X2)
    | c_SEQ_OLIMSEQ(X1,X3,X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1486]) ).

cnf(c_0_1486_2,axiom,
    ( ~ class_RealVector_Ometric__space(X2)
    | ~ c_SEQ_OLIMSEQ(c_COMBB(X1,c_Suc,tc_nat,X2,tc_nat),X3,X2)
    | c_SEQ_OLIMSEQ(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1486]) ).

cnf(c_0_1487_0,axiom,
    ( c_SEQ_Oconvergent(X2,X1)
    | ~ c_SEQ_Oconvergent(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,tc_nat),X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1487]) ).

cnf(c_0_1487_1,axiom,
    ( ~ c_SEQ_Oconvergent(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,tc_nat),X1)
    | c_SEQ_Oconvergent(X2,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1487]) ).

cnf(c_0_1487_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_SEQ_Oconvergent(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,tc_nat),X1)
    | c_SEQ_Oconvergent(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1487]) ).

cnf(c_0_1488_0,axiom,
    ( c_Series_Osummable(X2,X1)
    | ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ class_SEQ_Obanach(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1488]) ).

cnf(c_0_1488_1,axiom,
    ( ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | c_Series_Osummable(X2,X1)
    | ~ class_SEQ_Obanach(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1488]) ).

cnf(c_0_1488_2,axiom,
    ( ~ class_SEQ_Obanach(X1)
    | ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | c_Series_Osummable(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1488]) ).

cnf(c_0_1489_0,axiom,
    ( c_SEQ_OZseq(X2,X1)
    | ~ c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1489]) ).

cnf(c_0_1489_1,axiom,
    ( ~ c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | c_SEQ_OZseq(X2,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1489]) ).

cnf(c_0_1489_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | c_SEQ_OZseq(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1489]) ).

cnf(c_0_1490_0,axiom,
    ( X3 = X6
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X6,X4,X5)
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ class_RealVector_Ometric__space(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1490]) ).

cnf(c_0_1490_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | X3 = X6
    | ~ c_Lim_OLIM(X1,X2,X6,X4,X5)
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ class_RealVector_Ometric__space(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1490]) ).

cnf(c_0_1490_2,axiom,
    ( ~ c_Lim_OLIM(X1,X2,X6,X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | X3 = X6
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ class_RealVector_Ometric__space(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1490]) ).

cnf(c_0_1490_3,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ c_Lim_OLIM(X1,X2,X6,X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | X3 = X6
    | ~ class_RealVector_Ometric__space(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1490]) ).

cnf(c_0_1490_4,axiom,
    ( ~ class_RealVector_Ometric__space(X5)
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ c_Lim_OLIM(X1,X2,X6,X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | X3 = X6 ),
    inference(literals_permutation,[status(thm)],[c_0_1490]) ).

cnf(c_0_1491_0,axiom,
    ( c_Lim_OLIM(c_COMBC(c_HOL_Otimes__class_Otimes(X1),X2,X1,X1,X1),X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2),X1,X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1491]) ).

cnf(c_0_1491_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | c_Lim_OLIM(c_COMBC(c_HOL_Otimes__class_Otimes(X1),X2,X1,X1,X1),X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2),X1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1491]) ).

cnf(c_0_1492_0,axiom,
    ( c_Lim_OisCont(c_COMBB(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ c_Lim_OisCont(X5,hAPP(X1,X2),X4,X6)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1492]) ).

cnf(c_0_1492_1,axiom,
    ( ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_COMBB(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Lim_OisCont(X5,hAPP(X1,X2),X4,X6)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1492]) ).

cnf(c_0_1492_2,axiom,
    ( ~ c_Lim_OisCont(X5,hAPP(X1,X2),X4,X6)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_COMBB(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1492]) ).

cnf(c_0_1492_3,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OisCont(X5,hAPP(X1,X2),X4,X6)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_COMBB(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1492]) ).

cnf(c_0_1492_4,axiom,
    ( ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OisCont(X5,hAPP(X1,X2),X4,X6)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_COMBB(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1492]) ).

cnf(c_0_1492_5,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OisCont(X5,hAPP(X1,X2),X4,X6)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_COMBB(X5,X1,X4,X6,X3),X2,X3,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1492]) ).

cnf(c_0_1493_0,axiom,
    ( c_Finite__Set_Osetsum(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3,X1,X1,X5),X4,X5,X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Finite__Set_Osetsum(X3,X4,X5,X1))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1493]) ).

cnf(c_0_1493_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | c_Finite__Set_Osetsum(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3,X1,X1,X5),X4,X5,X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Finite__Set_Osetsum(X3,X4,X5,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1493]) ).

cnf(c_0_1494_0,axiom,
    ( c_Finite__Set_Osetsum(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3,X1,X1,X5),X4,X5,X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Finite__Set_Osetsum(X3,X4,X5,X1))
    | ~ class_Ring__and__Field_Osemiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1494]) ).

cnf(c_0_1494_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__0(X1)
    | c_Finite__Set_Osetsum(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3,X1,X1,X5),X4,X5,X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_Finite__Set_Osetsum(X3,X4,X5,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1494]) ).

cnf(c_0_1495_0,axiom,
    ( c_Finite__Set_Osetsum(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3,X1,X1,X5),X4,X5,X1) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),c_Finite__Set_Osetsum(X3,X4,X5,X1))
    | ~ class_RealVector_Oreal__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1495]) ).

cnf(c_0_1495_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X1)
    | c_Finite__Set_Osetsum(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3,X1,X1,X5),X4,X5,X1) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),c_Finite__Set_Osetsum(X3,X4,X5,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1495]) ).

cnf(c_0_1496_0,axiom,
    ( c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Oof__real(X1),X2,tc_RealDef_Oreal,X1,X4),X3,X4,X1) = hAPP(c_RealVector_Oof__real(X1),c_Finite__Set_Osetsum(X2,X3,X4,tc_RealDef_Oreal))
    | ~ class_RealVector_Oreal__algebra__1(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1496]) ).

cnf(c_0_1496_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X1)
    | c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Oof__real(X1),X2,tc_RealDef_Oreal,X1,X4),X3,X4,X1) = hAPP(c_RealVector_Oof__real(X1),c_Finite__Set_Osetsum(X2,X3,X4,tc_RealDef_Oreal))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1496]) ).

cnf(c_0_1496_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1)
    | c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Oof__real(X1),X2,tc_RealDef_Oreal,X1,X4),X3,X4,X1) = hAPP(c_RealVector_Oof__real(X1),c_Finite__Set_Osetsum(X2,X3,X4,tc_RealDef_Oreal)) ),
    inference(literals_permutation,[status(thm)],[c_0_1496]) ).

cnf(c_0_1497_0,axiom,
    ( c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,X3),X4,X3,X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Finite__Set_Osetsum(X2,X4,X3,X1))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1497]) ).

cnf(c_0_1497_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,X3),X4,X3,X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Finite__Set_Osetsum(X2,X4,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1497]) ).

cnf(c_0_1498_0,axiom,
    ( c_Limits_OZfun(c_COMBB(X1,X4,X2,X3,X6),X5,X6,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Limits_OZfun(X4,X5,X6,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1498]) ).

cnf(c_0_1498_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Limits_OZfun(c_COMBB(X1,X4,X2,X3,X6),X5,X6,X3)
    | ~ c_Limits_OZfun(X4,X5,X6,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1498]) ).

cnf(c_0_1498_2,axiom,
    ( ~ c_Limits_OZfun(X4,X5,X6,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Limits_OZfun(c_COMBB(X1,X4,X2,X3,X6),X5,X6,X3)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1498]) ).

cnf(c_0_1498_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Limits_OZfun(X4,X5,X6,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Limits_OZfun(c_COMBB(X1,X4,X2,X3,X6),X5,X6,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1498]) ).

cnf(c_0_1498_4,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Limits_OZfun(X4,X5,X6,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Limits_OZfun(c_COMBB(X1,X4,X2,X3,X6),X5,X6,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1498]) ).

cnf(c_0_1499_0,axiom,
    ( c_Limits_OZfun(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X5),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1499]) ).

cnf(c_0_1499_1,axiom,
    ( ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X5),X1,X4,X4,X3),X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1499]) ).

cnf(c_0_1499_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X5),X1,X4,X4,X3),X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1499]) ).

cnf(c_0_1500_0,axiom,
    ( c_Limits_OZfun(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X5),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1500]) ).

cnf(c_0_1500_1,axiom,
    ( ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X5),X1,X4,X4,X3),X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1500]) ).

cnf(c_0_1500_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X5),X1,X4,X4,X3),X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1500]) ).

cnf(c_0_1501_0,axiom,
    ( c_Limits_OZfun(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X4),X5),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1501]) ).

cnf(c_0_1501_1,axiom,
    ( ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X4),X5),X1,X4,X4,X3),X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1501]) ).

cnf(c_0_1501_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X4),X5),X1,X4,X4,X3),X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1501]) ).

cnf(c_0_1502_0,axiom,
    ( c_Limits_OZfun(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X4),X5),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1502]) ).

cnf(c_0_1502_1,axiom,
    ( ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X4),X5),X1,X4,X4,X3),X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1502]) ).

cnf(c_0_1502_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X4),X5),X1,X4,X4,X3),X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1502]) ).

cnf(c_0_1503_0,axiom,
    ( hAPP(X1,X2) = c_HOL_Ozero__class_Ozero(X4)
    | c_Lim_OisCont(c_COMBB(c_HOL_Oinverse__class_Oinverse(X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__div__algebra(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1503]) ).

cnf(c_0_1503_1,axiom,
    ( c_Lim_OisCont(c_COMBB(c_HOL_Oinverse__class_Oinverse(X4),X1,X4,X4,X3),X2,X3,X4)
    | hAPP(X1,X2) = c_HOL_Ozero__class_Ozero(X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__div__algebra(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1503]) ).

cnf(c_0_1503_2,axiom,
    ( ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_COMBB(c_HOL_Oinverse__class_Oinverse(X4),X1,X4,X4,X3),X2,X3,X4)
    | hAPP(X1,X2) = c_HOL_Ozero__class_Ozero(X4)
    | ~ class_RealVector_Oreal__normed__div__algebra(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1503]) ).

cnf(c_0_1503_3,axiom,
    ( ~ class_RealVector_Oreal__normed__div__algebra(X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_COMBB(c_HOL_Oinverse__class_Oinverse(X4),X1,X4,X4,X3),X2,X3,X4)
    | hAPP(X1,X2) = c_HOL_Ozero__class_Ozero(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1503]) ).

cnf(c_0_1503_4,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__normed__div__algebra(X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_COMBB(c_HOL_Oinverse__class_Oinverse(X4),X1,X4,X4,X3),X2,X3,X4)
    | hAPP(X1,X2) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1503]) ).

cnf(c_0_1504_0,axiom,
    ( c_Lim_OisCont(c_COMBB(c_HOL_Ouminus__class_Ouminus(X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1504]) ).

cnf(c_0_1504_1,axiom,
    ( ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_COMBB(c_HOL_Ouminus__class_Ouminus(X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1504]) ).

cnf(c_0_1504_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_COMBB(c_HOL_Ouminus__class_Ouminus(X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1504]) ).

cnf(c_0_1504_3,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_COMBB(c_HOL_Ouminus__class_Ouminus(X4),X1,X4,X4,X3),X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1504]) ).

cnf(c_0_1505_0,axiom,
    ( c_Lim_OisCont(c_COMBB(c_RealVector_Onorm__class_Onorm(X4),X1,X4,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1505]) ).

cnf(c_0_1505_1,axiom,
    ( ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_COMBB(c_RealVector_Onorm__class_Onorm(X4),X1,X4,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1505]) ).

cnf(c_0_1505_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_COMBB(c_RealVector_Onorm__class_Onorm(X4),X1,X4,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1505]) ).

cnf(c_0_1505_3,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_COMBB(c_RealVector_Onorm__class_Onorm(X4),X1,X4,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1505]) ).

cnf(c_0_1506_0,axiom,
    ( c_Limits_OZfun(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1506]) ).

cnf(c_0_1506_1,axiom,
    ( ~ c_Limits_OZfun(X1,X2,X3,tc_RealDef_Oreal)
    | c_Limits_OZfun(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,X3,X4)
    | ~ class_RealVector_Oreal__algebra__1(X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1506]) ).

cnf(c_0_1506_2,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X4)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_RealDef_Oreal)
    | c_Limits_OZfun(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1506]) ).

cnf(c_0_1506_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_RealVector_Oreal__algebra__1(X4)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_RealDef_Oreal)
    | c_Limits_OZfun(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1506]) ).

cnf(c_0_1507_0,axiom,
    ( c_Lim_OisCont(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,X3,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1507]) ).

cnf(c_0_1507_1,axiom,
    ( ~ c_Lim_OisCont(X1,X2,X3,tc_RealDef_Oreal)
    | c_Lim_OisCont(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1507]) ).

cnf(c_0_1507_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ c_Lim_OisCont(X1,X2,X3,tc_RealDef_Oreal)
    | c_Lim_OisCont(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,X3,X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1507]) ).

cnf(c_0_1507_3,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ c_Lim_OisCont(X1,X2,X3,tc_RealDef_Oreal)
    | c_Lim_OisCont(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1507]) ).

cnf(c_0_1508_0,axiom,
    ( c_Limits_OZfun(c_COMBB(c_HOL_Ouminus__class_Ouminus(X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1508]) ).

cnf(c_0_1508_1,axiom,
    ( ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBB(c_HOL_Ouminus__class_Ouminus(X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1508]) ).

cnf(c_0_1508_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBB(c_HOL_Ouminus__class_Ouminus(X4),X1,X4,X4,X3),X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1508]) ).

cnf(c_0_1509_0,axiom,
    ( c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X4),X1,X4,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1509]) ).

cnf(c_0_1509_1,axiom,
    ( ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X4),X1,X4,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1509]) ).

cnf(c_0_1509_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X4),X1,X4,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1509]) ).

cnf(c_0_1510_0,axiom,
    ( c_Limits_OZfun(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1510]) ).

cnf(c_0_1510_1,axiom,
    ( ~ c_Limits_OZfun(X1,X2,X3,tc_Complex_Ocomplex)
    | c_Limits_OZfun(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1510]) ).

cnf(c_0_1511_0,axiom,
    ( c_Limits_OZfun(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1511]) ).

cnf(c_0_1511_1,axiom,
    ( ~ c_Limits_OZfun(X1,X2,X3,tc_Complex_Ocomplex)
    | c_Limits_OZfun(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1511]) ).

cnf(c_0_1512_0,axiom,
    ( c_Series_Osums(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X4),X1,X3,X3,tc_nat),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X4),X2),X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1512]) ).

cnf(c_0_1512_1,axiom,
    ( ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osums(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X4),X1,X3,X3,tc_nat),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X4),X2),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1512]) ).

cnf(c_0_1512_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osums(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X4),X1,X3,X3,tc_nat),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X4),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1512]) ).

cnf(c_0_1513_0,axiom,
    ( c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X1,X3,X3,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X2),X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1513]) ).

cnf(c_0_1513_1,axiom,
    ( ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X1,X3,X3,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X2),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1513]) ).

cnf(c_0_1513_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X1,X3,X3,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1513]) ).

cnf(c_0_1514_0,axiom,
    ( c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X1,X3,X3,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X2),X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1514]) ).

cnf(c_0_1514_1,axiom,
    ( ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X1,X3,X3,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X2),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1514]) ).

cnf(c_0_1514_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osums(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X1,X3,X3,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1514]) ).

cnf(c_0_1515_0,axiom,
    ( c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X1,X3,X3,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1515]) ).

cnf(c_0_1515_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X1,X3,X3,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X2),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1515]) ).

cnf(c_0_1515_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X1,X3,X3,tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X4),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1515]) ).

cnf(c_0_1516_0,axiom,
    ( c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X4),X1,X3,X3,tc_nat),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X4),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1516]) ).

cnf(c_0_1516_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X4),X1,X3,X3,tc_nat),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X4),X2),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1516]) ).

cnf(c_0_1516_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X4),X1,X3,X3,tc_nat),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X4),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1516]) ).

cnf(c_0_1517_0,axiom,
    ( c_Deriv_Odifferentiable(c_COMBB(X1,X2,X4,X4,X4),X3,X4)
    | ~ c_Deriv_Odifferentiable(X1,hAPP(X2,X3),X4)
    | ~ c_Deriv_Odifferentiable(X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1517]) ).

cnf(c_0_1517_1,axiom,
    ( ~ c_Deriv_Odifferentiable(X1,hAPP(X2,X3),X4)
    | c_Deriv_Odifferentiable(c_COMBB(X1,X2,X4,X4,X4),X3,X4)
    | ~ c_Deriv_Odifferentiable(X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1517]) ).

cnf(c_0_1517_2,axiom,
    ( ~ c_Deriv_Odifferentiable(X2,X3,X4)
    | ~ c_Deriv_Odifferentiable(X1,hAPP(X2,X3),X4)
    | c_Deriv_Odifferentiable(c_COMBB(X1,X2,X4,X4,X4),X3,X4)
    | ~ class_RealVector_Oreal__normed__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1517]) ).

cnf(c_0_1517_3,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X4)
    | ~ c_Deriv_Odifferentiable(X2,X3,X4)
    | ~ c_Deriv_Odifferentiable(X1,hAPP(X2,X3),X4)
    | c_Deriv_Odifferentiable(c_COMBB(X1,X2,X4,X4,X4),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1517]) ).

cnf(c_0_1518_0,axiom,
    ( c_Lim_OisCont(c_COMBC(c_HOL_Otimes__class_Otimes(X1),X2,X1,X1,X1),X3,X1,X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1518]) ).

cnf(c_0_1518_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | c_Lim_OisCont(c_COMBC(c_HOL_Otimes__class_Otimes(X1),X2,X1,X1,X1),X3,X1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1518]) ).

cnf(c_0_1519_0,axiom,
    ( c_Series_Osums(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Series_Osums(X4,X5,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1519]) ).

cnf(c_0_1519_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Series_Osums(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3)
    | ~ c_Series_Osums(X4,X5,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1519]) ).

cnf(c_0_1519_2,axiom,
    ( ~ c_Series_Osums(X4,X5,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Series_Osums(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1519]) ).

cnf(c_0_1519_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_Series_Osums(X4,X5,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Series_Osums(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1519]) ).

cnf(c_0_1519_4,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_Series_Osums(X4,X5,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Series_Osums(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1519]) ).

cnf(c_0_1520_0,axiom,
    ( c_SEQ_OLIMSEQ(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_SEQ_OLIMSEQ(X4,X5,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1520]) ).

cnf(c_0_1520_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3)
    | ~ c_SEQ_OLIMSEQ(X4,X5,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1520]) ).

cnf(c_0_1520_2,axiom,
    ( ~ c_SEQ_OLIMSEQ(X4,X5,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1520]) ).

cnf(c_0_1520_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_SEQ_OLIMSEQ(X4,X5,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1520]) ).

cnf(c_0_1520_4,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_SEQ_OLIMSEQ(X4,X5,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1520]) ).

cnf(c_0_1521_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Oinverse__class_Oinverse(X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__div__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1521]) ).

cnf(c_0_1521_1,axiom,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Oinverse__class_Oinverse(X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X2),X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__div__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1521]) ).

cnf(c_0_1521_2,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Oinverse__class_Oinverse(X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X2),X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_RealVector_Oreal__normed__div__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1521]) ).

cnf(c_0_1521_3,axiom,
    ( ~ class_RealVector_Oreal__normed__div__algebra(X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Oinverse__class_Oinverse(X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Oinverse__class_Oinverse(X3),X2),X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1521]) ).

cnf(c_0_1522_0,axiom,
    ( c_Series_Osums(c_COMBB(c_RealVector_Oof__real(X3),X1,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X2),X3)
    | ~ c_Series_Osums(X1,X2,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1522]) ).

cnf(c_0_1522_1,axiom,
    ( ~ c_Series_Osums(X1,X2,tc_RealDef_Oreal)
    | c_Series_Osums(c_COMBB(c_RealVector_Oof__real(X3),X1,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X2),X3)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1522]) ).

cnf(c_0_1522_2,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ c_Series_Osums(X1,X2,tc_RealDef_Oreal)
    | c_Series_Osums(c_COMBB(c_RealVector_Oof__real(X3),X1,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X2),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1522]) ).

cnf(c_0_1522_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ c_Series_Osums(X1,X2,tc_RealDef_Oreal)
    | c_Series_Osums(c_COMBB(c_RealVector_Oof__real(X3),X1,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1522]) ).

cnf(c_0_1523_0,axiom,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Oof__real(X3),X1,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1523]) ).

cnf(c_0_1523_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Oof__real(X3),X1,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X2),X3)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1523]) ).

cnf(c_0_1523_2,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Oof__real(X3),X1,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X2),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1523]) ).

cnf(c_0_1523_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Oof__real(X3),X1,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1523]) ).

cnf(c_0_1524_0,axiom,
    ( c_Series_Osums(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1524]) ).

cnf(c_0_1524_1,axiom,
    ( ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osums(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1524]) ).

cnf(c_0_1524_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osums(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1524]) ).

cnf(c_0_1525_0,axiom,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1525]) ).

cnf(c_0_1525_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1525]) ).

cnf(c_0_1525_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1525]) ).

cnf(c_0_1526_0,axiom,
    ( c_Series_Osuminf(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),X1,X2,X2,tc_nat),X2) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),c_Series_Osuminf(X1,X2))
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1526]) ).

cnf(c_0_1526_1,axiom,
    ( ~ c_Series_Osummable(X1,X2)
    | c_Series_Osuminf(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),X1,X2,X2,tc_nat),X2) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),c_Series_Osuminf(X1,X2))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1526]) ).

cnf(c_0_1526_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Series_Osummable(X1,X2)
    | c_Series_Osuminf(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),X1,X2,X2,tc_nat),X2) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),c_Series_Osuminf(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1526]) ).

cnf(c_0_1527_0,axiom,
    ( c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Series_Osuminf(X1,X2))
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1527]) ).

cnf(c_0_1527_1,axiom,
    ( ~ c_Series_Osummable(X1,X2)
    | c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Series_Osuminf(X1,X2))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1527]) ).

cnf(c_0_1527_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | ~ c_Series_Osummable(X1,X2)
    | c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Series_Osuminf(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1527]) ).

cnf(c_0_1528_0,axiom,
    ( c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Series_Osuminf(X1,X2))
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1528]) ).

cnf(c_0_1528_1,axiom,
    ( ~ c_Series_Osummable(X1,X2)
    | c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Series_Osuminf(X1,X2))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1528]) ).

cnf(c_0_1528_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | ~ c_Series_Osummable(X1,X2)
    | c_Series_Osuminf(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),c_Series_Osuminf(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1528]) ).

cnf(c_0_1529_0,axiom,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X1,X3,tc_RealDef_Oreal,tc_nat),hAPP(c_RealVector_Onorm__class_Onorm(X3),X2),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1529]) ).

cnf(c_0_1529_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X1,X3,tc_RealDef_Oreal,tc_nat),hAPP(c_RealVector_Onorm__class_Onorm(X3),X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1529]) ).

cnf(c_0_1529_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X1,X3,tc_RealDef_Oreal,tc_nat),hAPP(c_RealVector_Onorm__class_Onorm(X3),X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1529]) ).

cnf(c_0_1530_0,axiom,
    ( hAPP(X1,X2) = c_HOL_Ozero__class_Ozero(X3)
    | c_Deriv_Odifferentiable(c_COMBB(c_HOL_Oinverse__class_Oinverse(X3),X1,X3,X3,X3),X2,X3)
    | ~ c_Deriv_Odifferentiable(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1530]) ).

cnf(c_0_1530_1,axiom,
    ( c_Deriv_Odifferentiable(c_COMBB(c_HOL_Oinverse__class_Oinverse(X3),X1,X3,X3,X3),X2,X3)
    | hAPP(X1,X2) = c_HOL_Ozero__class_Ozero(X3)
    | ~ c_Deriv_Odifferentiable(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1530]) ).

cnf(c_0_1530_2,axiom,
    ( ~ c_Deriv_Odifferentiable(X1,X2,X3)
    | c_Deriv_Odifferentiable(c_COMBB(c_HOL_Oinverse__class_Oinverse(X3),X1,X3,X3,X3),X2,X3)
    | hAPP(X1,X2) = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1530]) ).

cnf(c_0_1530_3,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X3)
    | ~ c_Deriv_Odifferentiable(X1,X2,X3)
    | c_Deriv_Odifferentiable(c_COMBB(c_HOL_Oinverse__class_Oinverse(X3),X1,X3,X3,X3),X2,X3)
    | hAPP(X1,X2) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1530]) ).

cnf(c_0_1531_0,axiom,
    ( c_Series_Osuminf(c_COMBB(X1,X4,X2,X3,tc_nat),X3) = hAPP(X1,c_Series_Osuminf(X4,X2))
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Series_Osummable(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1531]) ).

cnf(c_0_1531_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Series_Osuminf(c_COMBB(X1,X4,X2,X3,tc_nat),X3) = hAPP(X1,c_Series_Osuminf(X4,X2))
    | ~ c_Series_Osummable(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1531]) ).

cnf(c_0_1531_2,axiom,
    ( ~ c_Series_Osummable(X4,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Series_Osuminf(c_COMBB(X1,X4,X2,X3,tc_nat),X3) = hAPP(X1,c_Series_Osuminf(X4,X2))
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1531]) ).

cnf(c_0_1531_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_Series_Osummable(X4,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Series_Osuminf(c_COMBB(X1,X4,X2,X3,tc_nat),X3) = hAPP(X1,c_Series_Osuminf(X4,X2))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1531]) ).

cnf(c_0_1531_4,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_Series_Osummable(X4,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Series_Osuminf(c_COMBB(X1,X4,X2,X3,tc_nat),X3) = hAPP(X1,c_Series_Osuminf(X4,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1531]) ).

cnf(c_0_1532_0,axiom,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X2),X1,X2,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1532]) ).

cnf(c_0_1532_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X2),X1,X2,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1532]) ).

cnf(c_0_1532_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_SEQ_OLIMSEQ(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X2),X1,X2,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1532]) ).

cnf(c_0_1533_0,axiom,
    ( c_Deriv_Odifferentiable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,X3),X2,X3)
    | ~ c_Deriv_Odifferentiable(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1533]) ).

cnf(c_0_1533_1,axiom,
    ( ~ c_Deriv_Odifferentiable(X1,X2,X3)
    | c_Deriv_Odifferentiable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,X3),X2,X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1533]) ).

cnf(c_0_1533_2,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X3)
    | ~ c_Deriv_Odifferentiable(X1,X2,X3)
    | c_Deriv_Odifferentiable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1533]) ).

cnf(c_0_1534_0,axiom,
    ( c_Series_Osums(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X2),tc_RealDef_Oreal)
    | ~ c_Series_Osums(X1,X2,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1534]) ).

cnf(c_0_1534_1,axiom,
    ( ~ c_Series_Osums(X1,X2,tc_Complex_Ocomplex)
    | c_Series_Osums(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1534]) ).

cnf(c_0_1535_0,axiom,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X2),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1535]) ).

cnf(c_0_1535_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,tc_Complex_Ocomplex)
    | c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1535]) ).

cnf(c_0_1536_0,axiom,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X2),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1536]) ).

cnf(c_0_1536_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,tc_Complex_Ocomplex)
    | c_SEQ_OLIMSEQ(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1536]) ).

cnf(c_0_1537_0,axiom,
    ( c_Series_Osums(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X2),tc_RealDef_Oreal)
    | ~ c_Series_Osums(X1,X2,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1537]) ).

cnf(c_0_1537_1,axiom,
    ( ~ c_Series_Osums(X1,X2,tc_Complex_Ocomplex)
    | c_Series_Osums(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1537]) ).

cnf(c_0_1538_0,axiom,
    ( c_SEQ_OLIMSEQ(c_COMBB(X1,c_Suc,tc_nat,X3,tc_nat),X2,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1538]) ).

cnf(c_0_1538_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(X1,c_Suc,tc_nat,X3,tc_nat),X2,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1538]) ).

cnf(c_0_1538_2,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(X1,c_Suc,tc_nat,X3,tc_nat),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1538]) ).

cnf(c_0_1539_0,axiom,
    ( c_SEQ_OZseq(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_SEQ_OZseq(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1539]) ).

cnf(c_0_1539_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_SEQ_OZseq(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_SEQ_OZseq(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1539]) ).

cnf(c_0_1539_2,axiom,
    ( ~ c_SEQ_OZseq(X4,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_SEQ_OZseq(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1539]) ).

cnf(c_0_1539_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_SEQ_OZseq(X4,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_SEQ_OZseq(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1539]) ).

cnf(c_0_1539_4,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_SEQ_OZseq(X4,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_SEQ_OZseq(c_COMBB(X1,X4,X2,X3,tc_nat),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1539]) ).

cnf(c_0_1540_0,axiom,
    ( c_Series_Osummable(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Series_Osummable(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1540]) ).

cnf(c_0_1540_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Series_Osummable(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_Series_Osummable(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1540]) ).

cnf(c_0_1540_2,axiom,
    ( ~ c_Series_Osummable(X4,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Series_Osummable(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1540]) ).

cnf(c_0_1540_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_Series_Osummable(X4,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Series_Osummable(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1540]) ).

cnf(c_0_1540_4,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_Series_Osummable(X4,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Series_Osummable(c_COMBB(X1,X4,X2,X3,tc_nat),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1540]) ).

cnf(c_0_1541_0,axiom,
    ( c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_Lim_OisUCont(X1,X2,X3)
    | ~ c_SEQ_OCauchy(X4,X2)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1541]) ).

cnf(c_0_1541_1,axiom,
    ( ~ c_Lim_OisUCont(X1,X2,X3)
    | c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_SEQ_OCauchy(X4,X2)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1541]) ).

cnf(c_0_1541_2,axiom,
    ( ~ c_SEQ_OCauchy(X4,X2)
    | ~ c_Lim_OisUCont(X1,X2,X3)
    | c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1541]) ).

cnf(c_0_1541_3,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ c_SEQ_OCauchy(X4,X2)
    | ~ c_Lim_OisUCont(X1,X2,X3)
    | c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1541]) ).

cnf(c_0_1541_4,axiom,
    ( ~ class_RealVector_Ometric__space(X2)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ c_SEQ_OCauchy(X4,X2)
    | ~ c_Lim_OisUCont(X1,X2,X3)
    | c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1541]) ).

cnf(c_0_1542_0,axiom,
    ( c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_SEQ_OCauchy(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1542]) ).

cnf(c_0_1542_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_SEQ_OCauchy(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1542]) ).

cnf(c_0_1542_2,axiom,
    ( ~ c_SEQ_OCauchy(X4,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1542]) ).

cnf(c_0_1542_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_SEQ_OCauchy(X4,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1542]) ).

cnf(c_0_1542_4,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_SEQ_OCauchy(X4,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1542]) ).

cnf(c_0_1543_0,axiom,
    ( c_SEQ_OCauchy(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OCauchy(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1543]) ).

cnf(c_0_1543_1,axiom,
    ( ~ c_SEQ_OCauchy(X1,X2)
    | c_SEQ_OCauchy(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1543]) ).

cnf(c_0_1543_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | ~ c_SEQ_OCauchy(X1,X2)
    | c_SEQ_OCauchy(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1543]) ).

cnf(c_0_1544_0,axiom,
    ( c_SEQ_OZseq(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1544]) ).

cnf(c_0_1544_1,axiom,
    ( ~ c_SEQ_OZseq(X1,X2)
    | c_SEQ_OZseq(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1544]) ).

cnf(c_0_1544_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | c_SEQ_OZseq(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1544]) ).

cnf(c_0_1545_0,axiom,
    ( c_SEQ_OZseq(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1545]) ).

cnf(c_0_1545_1,axiom,
    ( ~ c_SEQ_OZseq(X1,X2)
    | c_SEQ_OZseq(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1545]) ).

cnf(c_0_1545_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | c_SEQ_OZseq(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1545]) ).

cnf(c_0_1546_0,axiom,
    ( c_Series_Osummable(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1546]) ).

cnf(c_0_1546_1,axiom,
    ( ~ c_Series_Osummable(X1,X2)
    | c_Series_Osummable(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1546]) ).

cnf(c_0_1546_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Series_Osummable(X1,X2)
    | c_Series_Osummable(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),X1,X2,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1546]) ).

cnf(c_0_1547_0,axiom,
    ( c_Series_Osummable(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1547]) ).

cnf(c_0_1547_1,axiom,
    ( ~ c_Series_Osummable(X1,X2)
    | c_Series_Osummable(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1547]) ).

cnf(c_0_1547_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | ~ c_Series_Osummable(X1,X2)
    | c_Series_Osummable(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1547]) ).

cnf(c_0_1548_0,axiom,
    ( c_Series_Osummable(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1548]) ).

cnf(c_0_1548_1,axiom,
    ( ~ c_Series_Osummable(X1,X2)
    | c_Series_Osummable(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1548]) ).

cnf(c_0_1548_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | ~ c_Series_Osummable(X1,X2)
    | c_Series_Osummable(c_COMBB(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1,X2,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1548]) ).

cnf(c_0_1549_0,axiom,
    ( c_SEQ_OZseq(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1549]) ).

cnf(c_0_1549_1,axiom,
    ( ~ c_SEQ_OZseq(X1,X2)
    | c_SEQ_OZseq(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1549]) ).

cnf(c_0_1549_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | c_SEQ_OZseq(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),X1,X2,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1549]) ).

cnf(c_0_1550_0,axiom,
    ( c_SEQ_OZseq(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1550]) ).

cnf(c_0_1550_1,axiom,
    ( ~ c_SEQ_OZseq(X1,X2)
    | c_SEQ_OZseq(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1550]) ).

cnf(c_0_1550_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | c_SEQ_OZseq(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),X1,X2,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1550]) ).

cnf(c_0_1551_0,axiom,
    ( c_SEQ_OCauchy(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OCauchy(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1551]) ).

cnf(c_0_1551_1,axiom,
    ( ~ c_SEQ_OCauchy(X1,X2)
    | c_SEQ_OCauchy(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),X1,X2,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1551]) ).

cnf(c_0_1551_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_SEQ_OCauchy(X1,X2)
    | c_SEQ_OCauchy(c_COMBB(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X3),X1,X2,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1551]) ).

cnf(c_0_1552_0,axiom,
    ( c_Series_Osuminf(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),c_Series_Osuminf(X1,X2))
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1552]) ).

cnf(c_0_1552_1,axiom,
    ( ~ c_Series_Osummable(X1,X2)
    | c_Series_Osuminf(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),c_Series_Osuminf(X1,X2))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1552]) ).

cnf(c_0_1552_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Series_Osummable(X1,X2)
    | c_Series_Osuminf(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),c_Series_Osuminf(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1552]) ).

cnf(c_0_1553_0,axiom,
    ( c_SEQ_Olim(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),c_SEQ_Olim(X1,X2))
    | ~ c_SEQ_Oconvergent(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1553]) ).

cnf(c_0_1553_1,axiom,
    ( ~ c_SEQ_Oconvergent(X1,X2)
    | c_SEQ_Olim(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),c_SEQ_Olim(X1,X2))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1553]) ).

cnf(c_0_1553_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_SEQ_Oconvergent(X1,X2)
    | c_SEQ_Olim(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),c_SEQ_Olim(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1553]) ).

cnf(c_0_1554_0,axiom,
    ( c_Series_Osuminf(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2) = hAPP(c_RealVector_Oof__real(X2),c_Series_Osuminf(X1,tc_RealDef_Oreal))
    | ~ c_Series_Osummable(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1554]) ).

cnf(c_0_1554_1,axiom,
    ( ~ c_Series_Osummable(X1,tc_RealDef_Oreal)
    | c_Series_Osuminf(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2) = hAPP(c_RealVector_Oof__real(X2),c_Series_Osuminf(X1,tc_RealDef_Oreal))
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1554]) ).

cnf(c_0_1554_2,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ c_Series_Osummable(X1,tc_RealDef_Oreal)
    | c_Series_Osuminf(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2) = hAPP(c_RealVector_Oof__real(X2),c_Series_Osuminf(X1,tc_RealDef_Oreal))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1554]) ).

cnf(c_0_1554_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ c_Series_Osummable(X1,tc_RealDef_Oreal)
    | c_Series_Osuminf(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2) = hAPP(c_RealVector_Oof__real(X2),c_Series_Osuminf(X1,tc_RealDef_Oreal)) ),
    inference(literals_permutation,[status(thm)],[c_0_1554]) ).

cnf(c_0_1555_0,axiom,
    ( c_RealVector_Obounded__linear(c_COMBC(c_HOL_Otimes__class_Otimes(X1),X2,X1,X1,X1),X1,X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1555]) ).

cnf(c_0_1555_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | c_RealVector_Obounded__linear(c_COMBC(c_HOL_Otimes__class_Otimes(X1),X2,X1,X1,X1),X1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1555]) ).

cnf(c_0_1556_0,axiom,
    ( c_Lim_OisUCont(c_COMBC(c_HOL_Otimes__class_Otimes(X1),X2,X1,X1,X1),X1,X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1556]) ).

cnf(c_0_1556_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | c_Lim_OisUCont(c_COMBC(c_HOL_Otimes__class_Otimes(X1),X2,X1,X1,X1),X1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1556]) ).

cnf(c_0_1557_0,axiom,
    ( c_Series_Osuminf(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) = hAPP(c_Complex_ORe,c_Series_Osuminf(X1,tc_Complex_Ocomplex))
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1557]) ).

cnf(c_0_1557_1,axiom,
    ( ~ c_Series_Osummable(X1,tc_Complex_Ocomplex)
    | c_Series_Osuminf(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) = hAPP(c_Complex_ORe,c_Series_Osuminf(X1,tc_Complex_Ocomplex)) ),
    inference(literals_permutation,[status(thm)],[c_0_1557]) ).

cnf(c_0_1558_0,axiom,
    ( c_Series_Osuminf(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) = hAPP(c_Complex_OIm,c_Series_Osuminf(X1,tc_Complex_Ocomplex))
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1558]) ).

cnf(c_0_1558_1,axiom,
    ( ~ c_Series_Osummable(X1,tc_Complex_Ocomplex)
    | c_Series_Osuminf(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) = hAPP(c_Complex_OIm,c_Series_Osuminf(X1,tc_Complex_Ocomplex)) ),
    inference(literals_permutation,[status(thm)],[c_0_1558]) ).

cnf(c_0_1559_0,axiom,
    ( c_SEQ_OCauchy(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ c_SEQ_OCauchy(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1559]) ).

cnf(c_0_1559_1,axiom,
    ( ~ c_SEQ_OCauchy(X1,tc_RealDef_Oreal)
    | c_SEQ_OCauchy(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1559]) ).

cnf(c_0_1559_2,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ c_SEQ_OCauchy(X1,tc_RealDef_Oreal)
    | c_SEQ_OCauchy(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1559]) ).

cnf(c_0_1559_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ c_SEQ_OCauchy(X1,tc_RealDef_Oreal)
    | c_SEQ_OCauchy(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1559]) ).

cnf(c_0_1560_0,axiom,
    ( c_Series_Osummable(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1560]) ).

cnf(c_0_1560_1,axiom,
    ( ~ c_Series_Osummable(X1,tc_RealDef_Oreal)
    | c_Series_Osummable(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1560]) ).

cnf(c_0_1560_2,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ c_Series_Osummable(X1,tc_RealDef_Oreal)
    | c_Series_Osummable(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1560]) ).

cnf(c_0_1560_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ c_Series_Osummable(X1,tc_RealDef_Oreal)
    | c_Series_Osummable(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1560]) ).

cnf(c_0_1561_0,axiom,
    ( c_SEQ_OZseq(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1561]) ).

cnf(c_0_1561_1,axiom,
    ( ~ c_SEQ_OZseq(X1,tc_RealDef_Oreal)
    | c_SEQ_OZseq(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1561]) ).

cnf(c_0_1561_2,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ c_SEQ_OZseq(X1,tc_RealDef_Oreal)
    | c_SEQ_OZseq(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1561]) ).

cnf(c_0_1561_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ c_SEQ_OZseq(X1,tc_RealDef_Oreal)
    | c_SEQ_OZseq(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1561]) ).

cnf(c_0_1562_0,axiom,
    ( c_SEQ_OZseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1562]) ).

cnf(c_0_1562_1,axiom,
    ( ~ c_SEQ_OZseq(X1,X2)
    | c_SEQ_OZseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1562]) ).

cnf(c_0_1562_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | c_SEQ_OZseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1562]) ).

cnf(c_0_1563_0,axiom,
    ( c_Series_Osummable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1563]) ).

cnf(c_0_1563_1,axiom,
    ( ~ c_Series_Osummable(X1,X2)
    | c_Series_Osummable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1563]) ).

cnf(c_0_1563_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Series_Osummable(X1,X2)
    | c_Series_Osummable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1563]) ).

cnf(c_0_1564_0,axiom,
    ( c_SEQ_Oconvergent(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_Oconvergent(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1564]) ).

cnf(c_0_1564_1,axiom,
    ( ~ c_SEQ_Oconvergent(X1,X2)
    | c_SEQ_Oconvergent(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1564]) ).

cnf(c_0_1564_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_SEQ_Oconvergent(X1,X2)
    | c_SEQ_Oconvergent(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1564]) ).

cnf(c_0_1565_0,axiom,
    ( c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X2),X1,X2,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1565]) ).

cnf(c_0_1565_1,axiom,
    ( ~ c_SEQ_OZseq(X1,X2)
    | c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X2),X1,X2,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1565]) ).

cnf(c_0_1565_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X2),X1,X2,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1565]) ).

cnf(c_0_1566_0,axiom,
    ( c_SEQ_OCauchy(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OCauchy(X1,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1566]) ).

cnf(c_0_1566_1,axiom,
    ( ~ c_SEQ_OCauchy(X1,tc_Complex_Ocomplex)
    | c_SEQ_OCauchy(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1566]) ).

cnf(c_0_1567_0,axiom,
    ( c_SEQ_OZseq(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OZseq(X1,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1567]) ).

cnf(c_0_1567_1,axiom,
    ( ~ c_SEQ_OZseq(X1,tc_Complex_Ocomplex)
    | c_SEQ_OZseq(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1567]) ).

cnf(c_0_1568_0,axiom,
    ( c_Series_Osummable(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1568]) ).

cnf(c_0_1568_1,axiom,
    ( ~ c_Series_Osummable(X1,tc_Complex_Ocomplex)
    | c_Series_Osummable(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1568]) ).

cnf(c_0_1569_0,axiom,
    ( c_SEQ_OZseq(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OZseq(X1,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1569]) ).

cnf(c_0_1569_1,axiom,
    ( ~ c_SEQ_OZseq(X1,tc_Complex_Ocomplex)
    | c_SEQ_OZseq(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1569]) ).

cnf(c_0_1570_0,axiom,
    ( c_SEQ_OCauchy(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OCauchy(X1,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1570]) ).

cnf(c_0_1570_1,axiom,
    ( ~ c_SEQ_OCauchy(X1,tc_Complex_Ocomplex)
    | c_SEQ_OCauchy(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1570]) ).

cnf(c_0_1571_0,axiom,
    ( c_Series_Osummable(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1571]) ).

cnf(c_0_1571_1,axiom,
    ( ~ c_Series_Osummable(X1,tc_Complex_Ocomplex)
    | c_Series_Osummable(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1571]) ).

cnf(c_0_1572_0,axiom,
    ( c_Lim_OisCont(X1,X2,X3,X4)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1572]) ).

cnf(c_0_1572_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1572]) ).

cnf(c_0_1572_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1572]) ).

cnf(c_0_1572_3,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | c_Lim_OisCont(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1572]) ).

cnf(c_0_1573_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_Lim_OLIM(c_COMBK(X1,X2,X3),X4,c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_RealVector_Oreal__normed__algebra__1(X3)
    | ~ class_HOL_Ozero(X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1573]) ).

cnf(c_0_1573_1,axiom,
    ( ~ c_Lim_OLIM(c_COMBK(X1,X2,X3),X4,c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__algebra__1(X3)
    | ~ class_HOL_Ozero(X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1573]) ).

cnf(c_0_1573_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra__1(X3)
    | ~ c_Lim_OLIM(c_COMBK(X1,X2,X3),X4,c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_HOL_Ozero(X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1573]) ).

cnf(c_0_1573_3,axiom,
    ( ~ class_HOL_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__algebra__1(X3)
    | ~ c_Lim_OLIM(c_COMBK(X1,X2,X3),X4,c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1573]) ).

cnf(c_0_1573_4,axiom,
    ( ~ class_RealVector_Ometric__space(X2)
    | ~ class_HOL_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__algebra__1(X3)
    | ~ c_Lim_OLIM(c_COMBK(X1,X2,X3),X4,c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1573]) ).

cnf(c_0_1574_0,axiom,
    ( X1 = X2
    | ~ c_Lim_OLIM(c_COMBK(X1,X3,X4),X5,X2,X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1574]) ).

cnf(c_0_1574_1,axiom,
    ( ~ c_Lim_OLIM(c_COMBK(X1,X3,X4),X5,X2,X4,X3)
    | X1 = X2
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1574]) ).

cnf(c_0_1574_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ c_Lim_OLIM(c_COMBK(X1,X3,X4),X5,X2,X4,X3)
    | X1 = X2
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1574]) ).

cnf(c_0_1574_3,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ c_Lim_OLIM(c_COMBK(X1,X3,X4),X5,X2,X4,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1574]) ).

cnf(c_0_1575_0,axiom,
    ( X1 = X5
    | ~ c_Lim_OLIM(c_COMBK(X1,X2,X3),X4,X5,X3,X2)
    | ~ class_RealVector_Oreal__normed__algebra__1(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1575]) ).

cnf(c_0_1575_1,axiom,
    ( ~ c_Lim_OLIM(c_COMBK(X1,X2,X3),X4,X5,X3,X2)
    | X1 = X5
    | ~ class_RealVector_Oreal__normed__algebra__1(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1575]) ).

cnf(c_0_1575_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra__1(X3)
    | ~ c_Lim_OLIM(c_COMBK(X1,X2,X3),X4,X5,X3,X2)
    | X1 = X5
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1575]) ).

cnf(c_0_1575_3,axiom,
    ( ~ class_RealVector_Ometric__space(X2)
    | ~ class_RealVector_Oreal__normed__algebra__1(X3)
    | ~ c_Lim_OLIM(c_COMBK(X1,X2,X3),X4,X5,X3,X2)
    | X1 = X5 ),
    inference(literals_permutation,[status(thm)],[c_0_1575]) ).

cnf(c_0_1576_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)),X5)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)),X5)
    | ~ class_Ring__and__Field_Osemiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1576]) ).

cnf(c_0_1576_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)),X5)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)),X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1576]) ).

cnf(c_0_1577_0,axiom,
    ( c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1577]) ).

cnf(c_0_1577_1,axiom,
    ( ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1577]) ).

cnf(c_0_1577_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1577]) ).

cnf(c_0_1577_3,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1577]) ).

cnf(c_0_1578_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1))),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3))
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1578]) ).

cnf(c_0_1578_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1))),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3))
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1578]) ).

cnf(c_0_1578_2,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1))),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3))
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1578]) ).

cnf(c_0_1578_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1))),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3))
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1578]) ).

cnf(c_0_1579_0,axiom,
    ( c_Lim_OLIM(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1,X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1579]) ).

cnf(c_0_1579_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | c_Lim_OLIM(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3,hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3),X1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1579]) ).

cnf(c_0_1580_0,axiom,
    ( c_Lim_OLIM(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3),X1,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1580]) ).

cnf(c_0_1580_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | c_Lim_OLIM(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3),X1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1580]) ).

cnf(c_0_1581_0,axiom,
    ( c_Lim_OLIM(X1,X4,hAPP(X1,X4),X2,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1581]) ).

cnf(c_0_1581_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OLIM(X1,X4,hAPP(X1,X4),X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1581]) ).

cnf(c_0_1581_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OLIM(X1,X4,hAPP(X1,X4),X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1581]) ).

cnf(c_0_1581_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OLIM(X1,X4,hAPP(X1,X4),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1581]) ).

cnf(c_0_1582_0,axiom,
    ( c_Lim_OLIM(c_COMBK(X1,X2,X3),X4,X1,X3,X2)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1582]) ).

cnf(c_0_1582_1,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | c_Lim_OLIM(c_COMBK(X1,X2,X3),X4,X1,X3,X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1582]) ).

cnf(c_0_1582_2,axiom,
    ( ~ class_RealVector_Ometric__space(X2)
    | ~ class_RealVector_Ometric__space(X3)
    | c_Lim_OLIM(c_COMBK(X1,X2,X3),X4,X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1582]) ).

cnf(c_0_1583_0,axiom,
    ( c_Limits_Otendsto(c_COMBK(X1,X2,X3),X1,X4,X3,X2)
    | ~ class_RealVector_Otopological__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1583]) ).

cnf(c_0_1583_1,axiom,
    ( ~ class_RealVector_Otopological__space(X2)
    | c_Limits_Otendsto(c_COMBK(X1,X2,X3),X1,X4,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1583]) ).

cnf(c_0_1584_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Lim_OLIM(c_HOL_Oinverse__class_Oinverse(X2),X1,hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1),X2,X2)
    | ~ class_RealVector_Oreal__normed__div__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1584]) ).

cnf(c_0_1584_1,axiom,
    ( c_Lim_OLIM(c_HOL_Oinverse__class_Oinverse(X2),X1,hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1),X2,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__div__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1584]) ).

cnf(c_0_1584_2,axiom,
    ( ~ class_RealVector_Oreal__normed__div__algebra(X2)
    | c_Lim_OLIM(c_HOL_Oinverse__class_Oinverse(X2),X1,hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1),X2,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1584]) ).

cnf(c_0_1585_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3))),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3))
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1585]) ).

cnf(c_0_1585_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3))),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3))
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1585]) ).

cnf(c_0_1585_2,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3))),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3))
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1585]) ).

cnf(c_0_1585_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3))),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3))
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1585]) ).

cnf(c_0_1586_0,axiom,
    ( X1 = X2
    | X3 = X4
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X3))
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1586]) ).

cnf(c_0_1586_1,axiom,
    ( X3 = X4
    | X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X3))
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1586]) ).

cnf(c_0_1586_2,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X3))
    | X3 = X4
    | X1 = X2
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1586]) ).

cnf(c_0_1586_3,axiom,
    ( ~ class_Int_Onumber__ring(X5)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X3))
    | X3 = X4
    | X1 = X2
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1586]) ).

cnf(c_0_1586_4,axiom,
    ( ~ class_Ring__and__Field_Oidom(X5)
    | ~ class_Int_Onumber__ring(X5)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X3))
    | X3 = X4
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1586]) ).

cnf(c_0_1587_0,axiom,
    ( X1 = X2
    | X3 = X4
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X3))
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1587]) ).

cnf(c_0_1587_1,axiom,
    ( X3 = X4
    | X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X3))
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1587]) ).

cnf(c_0_1587_2,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X3))
    | X3 = X4
    | X1 = X2
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1587]) ).

cnf(c_0_1587_3,axiom,
    ( ~ class_Int_Onumber__ring(X5)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X3))
    | X3 = X4
    | X1 = X2
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1587]) ).

cnf(c_0_1587_4,axiom,
    ( ~ class_Ring__and__Field_Oidom(X5)
    | ~ class_Int_Onumber__ring(X5)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X5),X2),X3))
    | X3 = X4
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1587]) ).

cnf(c_0_1588_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X5))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1588]) ).

cnf(c_0_1588_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1588]) ).

cnf(c_0_1589_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1589]) ).

cnf(c_0_1589_1,axiom,
    ( ~ class_Int_Onumber__ring(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1589]) ).

cnf(c_0_1589_2,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1589]) ).

cnf(c_0_1590_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_Int_Onumber__ring(X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1590]) ).

cnf(c_0_1590_1,axiom,
    ( ~ class_Int_Onumber__ring(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1590]) ).

cnf(c_0_1590_2,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | ~ class_Int_Onumber__ring(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1590]) ).

cnf(c_0_1591_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1591]) ).

cnf(c_0_1591_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_1591]) ).

cnf(c_0_1592_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X5))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1592]) ).

cnf(c_0_1592_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X5)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1592]) ).

cnf(c_0_1593_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1593]) ).

cnf(c_0_1593_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),X5)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1593]) ).

cnf(c_0_1594_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1594]) ).

cnf(c_0_1594_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1594]) ).

cnf(c_0_1595_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1595]) ).

cnf(c_0_1595_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1595]) ).

cnf(c_0_1596_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1596]) ).

cnf(c_0_1596_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1596]) ).

cnf(c_0_1597_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1597]) ).

cnf(c_0_1597_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1597]) ).

cnf(c_0_1598_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1598]) ).

cnf(c_0_1598_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X4),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1598]) ).

cnf(c_0_1599_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X3)) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1599]) ).

cnf(c_0_1599_1,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X3)) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1599]) ).

cnf(c_0_1599_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X3)) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1599]) ).

cnf(c_0_1600_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X1)) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1600]) ).

cnf(c_0_1600_1,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X1)) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1600]) ).

cnf(c_0_1600_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X1)) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1600]) ).

cnf(c_0_1601_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1601]) ).

cnf(c_0_1601_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1601]) ).

cnf(c_0_1602_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1602]) ).

cnf(c_0_1602_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1602]) ).

cnf(c_0_1603_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1603]) ).

cnf(c_0_1603_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1603]) ).

cnf(c_0_1604_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1604]) ).

cnf(c_0_1604_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1604]) ).

cnf(c_0_1605_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1605]) ).

cnf(c_0_1605_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1605]) ).

cnf(c_0_1606_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3)),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_RealVector_Oreal__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1606]) ).

cnf(c_0_1606_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3)),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1606]) ).

cnf(c_0_1607_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3)),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1607]) ).

cnf(c_0_1607_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3)),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1607]) ).

cnf(c_0_1608_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = X4
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X4))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1608]) ).

cnf(c_0_1608_1,axiom,
    ( X3 = X4
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X4))
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1608]) ).

cnf(c_0_1608_2,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X4))
    | X3 = X4
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1608]) ).

cnf(c_0_1608_3,axiom,
    ( ~ class_Int_Onumber__ring(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X4))
    | X3 = X4
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1608]) ).

cnf(c_0_1608_4,axiom,
    ( ~ class_Ring__and__Field_Oidom(X2)
    | ~ class_Int_Onumber__ring(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X5),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X4))
    | X3 = X4
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1608]) ).

cnf(c_0_1609_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1))) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1609]) ).

cnf(c_0_1609_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1))) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1609]) ).

cnf(c_0_1610_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_OrderedGroup_Oab__semigroup__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1610]) ).

cnf(c_0_1610_1,axiom,
    ( ~ class_OrderedGroup_Oab__semigroup__mult(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1610]) ).

cnf(c_0_1611_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1611]) ).

cnf(c_0_1611_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1611]) ).

cnf(c_0_1612_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1612]) ).

cnf(c_0_1612_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1612]) ).

cnf(c_0_1613_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1613]) ).

cnf(c_0_1613_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1613]) ).

cnf(c_0_1614_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3)),X4) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1614]) ).

cnf(c_0_1614_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3)),X4) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1614]) ).

cnf(c_0_1615_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3)),X4) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1615]) ).

cnf(c_0_1615_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3)),X4) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1615]) ).

cnf(c_0_1616_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1616]) ).

cnf(c_0_1616_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1616]) ).

cnf(c_0_1617_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1617]) ).

cnf(c_0_1617_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1617]) ).

cnf(c_0_1618_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_OrderedGroup_Oab__semigroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1618]) ).

cnf(c_0_1618_1,axiom,
    ( ~ class_OrderedGroup_Oab__semigroup__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1618]) ).

cnf(c_0_1619_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1619]) ).

cnf(c_0_1619_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1619]) ).

cnf(c_0_1620_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1620]) ).

cnf(c_0_1620_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)),X4) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1620]) ).

cnf(c_0_1621_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3)),X4) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4))
    | ~ class_RealVector_Oreal__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1621]) ).

cnf(c_0_1621_1,axiom,
    ( ~ class_RealVector_Oreal__algebra(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3)),X4) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1621]) ).

cnf(c_0_1622_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = X4
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X4)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1622]) ).

cnf(c_0_1622_1,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X4)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = X4
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1622]) ).

cnf(c_0_1622_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X5),X4)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_1622]) ).

cnf(c_0_1623_0,axiom,
    ( c_Finite__Set_Osetsum(c_COMBK(c_HOL_Ozero__class_Ozero(X1),X1,X2),X3,X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1623]) ).

cnf(c_0_1623_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | c_Finite__Set_Osetsum(c_COMBK(c_HOL_Ozero__class_Ozero(X1),X1,X2),X3,X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1623]) ).

cnf(c_0_1624_0,axiom,
    ( c_Limits_OZfun(c_COMBK(c_HOL_Ozero__class_Ozero(X1),X1,X2),X3,X2,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1624]) ).

cnf(c_0_1624_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | c_Limits_OZfun(c_COMBK(c_HOL_Ozero__class_Ozero(X1),X1,X2),X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1624]) ).

cnf(c_0_1625_0,axiom,
    ( c_Lim_OisCont(c_COMBK(X1,X2,X3),X4,X3,X2)
    | ~ class_RealVector_Ometric__space(X2)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1625]) ).

cnf(c_0_1625_1,axiom,
    ( ~ class_RealVector_Ometric__space(X2)
    | c_Lim_OisCont(c_COMBK(X1,X2,X3),X4,X3,X2)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1625]) ).

cnf(c_0_1625_2,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X2)
    | c_Lim_OisCont(c_COMBK(X1,X2,X3),X4,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1625]) ).

cnf(c_0_1626_0,axiom,
    ( c_Lim_OisCont(X1,X4,X2,X3)
    | ~ c_Lim_OisUCont(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1626]) ).

cnf(c_0_1626_1,axiom,
    ( ~ c_Lim_OisUCont(X1,X2,X3)
    | c_Lim_OisCont(X1,X4,X2,X3)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1626]) ).

cnf(c_0_1626_2,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ c_Lim_OisUCont(X1,X2,X3)
    | c_Lim_OisCont(X1,X4,X2,X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1626]) ).

cnf(c_0_1626_3,axiom,
    ( ~ class_RealVector_Ometric__space(X2)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ c_Lim_OisUCont(X1,X2,X3)
    | c_Lim_OisCont(X1,X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1626]) ).

cnf(c_0_1627_0,axiom,
    ( c_Lim_OisCont(X1,X4,X2,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1627]) ).

cnf(c_0_1627_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OisCont(X1,X4,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1627]) ).

cnf(c_0_1627_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OisCont(X1,X4,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1627]) ).

cnf(c_0_1627_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OisCont(X1,X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1627]) ).

cnf(c_0_1628_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1628]) ).

cnf(c_0_1628_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1628]) ).

cnf(c_0_1629_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1629]) ).

cnf(c_0_1629_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1629]) ).

cnf(c_0_1630_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1630]) ).

cnf(c_0_1630_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1630]) ).

cnf(c_0_1631_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1631]) ).

cnf(c_0_1631_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1631]) ).

cnf(c_0_1632_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1632]) ).

cnf(c_0_1632_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1632]) ).

cnf(c_0_1633_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1633]) ).

cnf(c_0_1633_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1633]) ).

cnf(c_0_1634_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4))
    | ~ class_RealVector_Oreal__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1634]) ).

cnf(c_0_1634_1,axiom,
    ( ~ class_RealVector_Oreal__algebra(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1634]) ).

cnf(c_0_1635_0,axiom,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X4))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1635]) ).

cnf(c_0_1635_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1635]) ).

cnf(c_0_1636_0,axiom,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X4))
    | ~ class_RealVector_Oreal__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1636]) ).

cnf(c_0_1636_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X1)
    | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1636]) ).

cnf(c_0_1637_0,axiom,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X4))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1637]) ).

cnf(c_0_1637_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),X4)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1637]) ).

cnf(c_0_1638_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3)) = X3
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1638]) ).

cnf(c_0_1638_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3)) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1638]) ).

cnf(c_0_1639_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3)),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)) = hAPP(c_HOL_Oinverse__class_Oinverse(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3))
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1639]) ).

cnf(c_0_1639_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3)),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)) = hAPP(c_HOL_Oinverse__class_Oinverse(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3))
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1639]) ).

cnf(c_0_1639_2,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3)),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)) = hAPP(c_HOL_Oinverse__class_Oinverse(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3))
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1639]) ).

cnf(c_0_1639_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3)),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)) = hAPP(c_HOL_Oinverse__class_Oinverse(X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3))
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1639]) ).

cnf(c_0_1640_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2)),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X3)) = hAPP(c_HOL_Oinverse__class_Oinverse(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1640]) ).

cnf(c_0_1640_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2)),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X3)) = hAPP(c_HOL_Oinverse__class_Oinverse(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1640]) ).

cnf(c_0_1640_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2)),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X3)) = hAPP(c_HOL_Oinverse__class_Oinverse(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1640]) ).

cnf(c_0_1641_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3))
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1641]) ).

cnf(c_0_1641_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1641]) ).

cnf(c_0_1642_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1642]) ).

cnf(c_0_1642_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1642]) ).

cnf(c_0_1643_0,axiom,
    ( hAPP(X1,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X4),X5)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X4),hAPP(X1,X5))
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1643]) ).

cnf(c_0_1643_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | hAPP(X1,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X4),X5)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X4),hAPP(X1,X5))
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1643]) ).

cnf(c_0_1643_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | hAPP(X1,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X4),X5)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X4),hAPP(X1,X5))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1643]) ).

cnf(c_0_1643_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | hAPP(X1,hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X2),X4),X5)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X4),hAPP(X1,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_1643]) ).

cnf(c_0_1644_0,axiom,
    ( c_Lim_OisCont(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3,X1,X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1644]) ).

cnf(c_0_1644_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | c_Lim_OisCont(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3,X1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1644]) ).

cnf(c_0_1645_0,axiom,
    ( c_Lim_OisCont(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3,X1,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1645]) ).

cnf(c_0_1645_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | c_Lim_OisCont(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3,X1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1645]) ).

cnf(c_0_1646_0,axiom,
    ( X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X4),X3)) != X4
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1646]) ).

cnf(c_0_1646_1,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X4),X3)) != X4
    | X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1646]) ).

cnf(c_0_1646_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X4),X3)) != X4
    | X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1646]) ).

cnf(c_0_1647_0,axiom,
    ( X1 = X3
    | ~ c_SEQ_OLIMSEQ(c_COMBK(X1,X2,tc_nat),X3,X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1647]) ).

cnf(c_0_1647_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(c_COMBK(X1,X2,tc_nat),X3,X2)
    | X1 = X3
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1647]) ).

cnf(c_0_1647_2,axiom,
    ( ~ class_RealVector_Ometric__space(X2)
    | ~ c_SEQ_OLIMSEQ(c_COMBK(X1,X2,tc_nat),X3,X2)
    | X1 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1647]) ).

cnf(c_0_1648_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1648]) ).

cnf(c_0_1648_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1648]) ).

cnf(c_0_1649_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1649]) ).

cnf(c_0_1649_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1649]) ).

cnf(c_0_1650_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1650]) ).

cnf(c_0_1650_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1650]) ).

cnf(c_0_1651_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)) = X3
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1651]) ).

cnf(c_0_1651_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1651]) ).

cnf(c_0_1652_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)) = X3
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1652]) ).

cnf(c_0_1652_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3)) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1652]) ).

cnf(c_0_1653_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1653]) ).

cnf(c_0_1653_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1653]) ).

cnf(c_0_1654_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1654]) ).

cnf(c_0_1654_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1654]) ).

cnf(c_0_1655_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1655]) ).

cnf(c_0_1655_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1655]) ).

cnf(c_0_1656_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1656]) ).

cnf(c_0_1656_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1656]) ).

cnf(c_0_1657_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1657]) ).

cnf(c_0_1657_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1657]) ).

cnf(c_0_1658_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1658]) ).

cnf(c_0_1658_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1658]) ).

cnf(c_0_1659_0,axiom,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3))
    | ~ class_RealVector_Oreal__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1659]) ).

cnf(c_0_1659_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X1)
    | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1659]) ).

cnf(c_0_1660_0,axiom,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1660]) ).

cnf(c_0_1660_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1660]) ).

cnf(c_0_1661_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1661]) ).

cnf(c_0_1661_1,axiom,
    ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1661]) ).

cnf(c_0_1662_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_SEQ_OZseq(c_COMBK(X1,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1662]) ).

cnf(c_0_1662_1,axiom,
    ( ~ c_SEQ_OZseq(c_COMBK(X1,X2,tc_nat),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1662]) ).

cnf(c_0_1662_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_SEQ_OZseq(c_COMBK(X1,X2,tc_nat),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1662]) ).

cnf(c_0_1663_0,axiom,
    ( X1 = X2
    | X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X1),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X2),X2)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1663]) ).

cnf(c_0_1663_1,axiom,
    ( X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | X1 = X2
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X1),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X2),X2)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1663]) ).

cnf(c_0_1663_2,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X1),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X2),X2)
    | X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | X1 = X2
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1663]) ).

cnf(c_0_1663_3,axiom,
    ( ~ class_Ring__and__Field_Oidom(X3)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X1),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X3),X2),X2)
    | X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1663]) ).

cnf(c_0_1664_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_RealVector_Oof__real(X1),X2)),X3) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3)
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1664]) ).

cnf(c_0_1664_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(c_RealVector_Oof__real(X1),X2)),X3) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1664]) ).

cnf(c_0_1665_0,axiom,
    ( c_Series_Osums(c_COMBK(c_HOL_Ozero__class_Ozero(X1),X1,tc_nat),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1665]) ).

cnf(c_0_1665_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | c_Series_Osums(c_COMBK(c_HOL_Ozero__class_Ozero(X1),X1,tc_nat),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1665]) ).

cnf(c_0_1666_0,axiom,
    ( X2 = X4
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X4,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1666]) ).

cnf(c_0_1666_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | X2 = X4
    | ~ c_SEQ_OLIMSEQ(X1,X4,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1666]) ).

cnf(c_0_1666_2,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X4,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | X2 = X4
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1666]) ).

cnf(c_0_1666_3,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ c_SEQ_OLIMSEQ(X1,X4,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | X2 = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_1666]) ).

cnf(c_0_1667_0,axiom,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1667]) ).

cnf(c_0_1667_1,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | X1 = X2
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1667]) ).

cnf(c_0_1667_2,axiom,
    ( ~ class_Int_Onumber__ring(X3)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | X1 = X2
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1667]) ).

cnf(c_0_1667_3,axiom,
    ( ~ class_Ring__and__Field_Oidom(X3)
    | ~ class_Int_Onumber__ring(X3)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1667]) ).

cnf(c_0_1668_0,axiom,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(X4)
    | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X1),X3) != hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X2),X3)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1668]) ).

cnf(c_0_1668_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X4)
    | X1 = X2
    | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X1),X3) != hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X2),X3)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1668]) ).

cnf(c_0_1668_2,axiom,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X1),X3) != hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X2),X3)
    | X3 = c_HOL_Ozero__class_Ozero(X4)
    | X1 = X2
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1668]) ).

cnf(c_0_1668_3,axiom,
    ( ~ class_RealVector_Oreal__vector(X4)
    | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X1),X3) != hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X2),X3)
    | X3 = c_HOL_Ozero__class_Ozero(X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1668]) ).

cnf(c_0_1669_0,axiom,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X3),X1) != hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X3),X2)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1669]) ).

cnf(c_0_1669_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = X2
    | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X3),X1) != hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X3),X2)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1669]) ).

cnf(c_0_1669_2,axiom,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X3),X1) != hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X3),X2)
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = X2
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1669]) ).

cnf(c_0_1669_3,axiom,
    ( ~ class_RealVector_Oreal__vector(X4)
    | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X3),X1) != hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X4),X3),X2)
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1669]) ).

cnf(c_0_1670_0,axiom,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1670]) ).

cnf(c_0_1670_1,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | X1 = X2
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1670]) ).

cnf(c_0_1670_2,axiom,
    ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X3)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1670]) ).

cnf(c_0_1671_0,axiom,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1671]) ).

cnf(c_0_1671_1,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | X1 = X2
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1671]) ).

cnf(c_0_1671_2,axiom,
    ( ~ class_OrderedGroup_Ocancel__semigroup__add(X3)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X4),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1671]) ).

cnf(c_0_1672_0,axiom,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1672]) ).

cnf(c_0_1672_1,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4)
    | X1 = X2
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1672]) ).

cnf(c_0_1672_2,axiom,
    ( ~ class_OrderedGroup_Ocancel__semigroup__add(X3)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X1),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X3),X2),X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1672]) ).

cnf(c_0_1673_0,axiom,
    ( c_Deriv_Odifferentiable(c_COMBK(X1,X2,X2),X3,X2)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1673]) ).

cnf(c_0_1673_1,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X2)
    | c_Deriv_Odifferentiable(c_COMBK(X1,X2,X2),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1673]) ).

cnf(c_0_1674_0,axiom,
    ( c_SEQ_OLIMSEQ(c_COMBK(X1,X2,tc_nat),X1,X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1674]) ).

cnf(c_0_1674_1,axiom,
    ( ~ class_RealVector_Ometric__space(X2)
    | c_SEQ_OLIMSEQ(c_COMBK(X1,X2,tc_nat),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1674]) ).

cnf(c_0_1675_0,axiom,
    ( c_SEQ_OLIMSEQ(c_COMBK(X1,X2,tc_nat),X1,X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1675]) ).

cnf(c_0_1675_1,axiom,
    ( ~ class_RealVector_Ometric__space(X2)
    | c_SEQ_OLIMSEQ(c_COMBK(X1,X2,tc_nat),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1675]) ).

cnf(c_0_1676_0,axiom,
    ( c_Lim_OisUCont(X1,X2,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1676]) ).

cnf(c_0_1676_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OisUCont(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1676]) ).

cnf(c_0_1676_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OisUCont(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1676]) ).

cnf(c_0_1676_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OisUCont(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1676]) ).

cnf(c_0_1677_0,axiom,
    ( c_SEQ_Oconvergent(X1,X2)
    | ~ c_SEQ_OLIMSEQ(X1,c_SEQ_Olim(X1,X2),X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1677]) ).

cnf(c_0_1677_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,c_SEQ_Olim(X1,X2),X2)
    | c_SEQ_Oconvergent(X1,X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1677]) ).

cnf(c_0_1677_2,axiom,
    ( ~ class_RealVector_Ometric__space(X2)
    | ~ c_SEQ_OLIMSEQ(X1,c_SEQ_Olim(X1,X2),X2)
    | c_SEQ_Oconvergent(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1677]) ).

cnf(c_0_1678_0,axiom,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1678]) ).

cnf(c_0_1678_1,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1678]) ).

cnf(c_0_1679_0,axiom,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1679]) ).

cnf(c_0_1679_1,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1679]) ).

cnf(c_0_1680_0,axiom,
    ( X1 = X2
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1680]) ).

cnf(c_0_1680_1,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1680]) ).

cnf(c_0_1681_0,axiom,
    ( c_Series_Osuminf(c_COMBK(c_HOL_Ozero__class_Ozero(X1),X1,tc_nat),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1681]) ).

cnf(c_0_1681_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | c_Series_Osuminf(c_COMBK(c_HOL_Ozero__class_Ozero(X1),X1,tc_nat),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1681]) ).

cnf(c_0_1682_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1682]) ).

cnf(c_0_1682_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X2) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1682]) ).

cnf(c_0_1683_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1683]) ).

cnf(c_0_1683_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X2) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1683]) ).

cnf(c_0_1684_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1684]) ).

cnf(c_0_1684_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)),X2) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1684]) ).

cnf(c_0_1685_0,axiom,
    ( c_Series_Osummable(c_COMBK(c_HOL_Ozero__class_Ozero(X1),X1,tc_nat),X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1685]) ).

cnf(c_0_1685_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | c_Series_Osummable(c_COMBK(c_HOL_Ozero__class_Ozero(X1),X1,tc_nat),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1685]) ).

cnf(c_0_1686_0,axiom,
    ( c_SEQ_OZseq(c_COMBK(c_HOL_Ozero__class_Ozero(X1),X1,tc_nat),X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1686]) ).

cnf(c_0_1686_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | c_SEQ_OZseq(c_COMBK(c_HOL_Ozero__class_Ozero(X1),X1,tc_nat),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1686]) ).

cnf(c_0_1687_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2)) = hAPP(c_HOL_Oinverse__class_Oinverse(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Odivision__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1687]) ).

cnf(c_0_1687_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2)) = hAPP(c_HOL_Oinverse__class_Oinverse(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2))
    | ~ class_Ring__and__Field_Odivision__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1687]) ).

cnf(c_0_1687_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2)) = hAPP(c_HOL_Oinverse__class_Oinverse(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1687]) ).

cnf(c_0_1688_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)) = hAPP(c_HOL_Oinverse__class_Oinverse(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1))
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1688]) ).

cnf(c_0_1688_1,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)) = hAPP(c_HOL_Oinverse__class_Oinverse(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1))
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1688]) ).

cnf(c_0_1688_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)) = hAPP(c_HOL_Oinverse__class_Oinverse(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1))
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1688]) ).

cnf(c_0_1689_0,axiom,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X2) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X3)
    | ~ class_RealVector_Oreal__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1689]) ).

cnf(c_0_1689_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X1)
    | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X2) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1689]) ).

cnf(c_0_1690_0,axiom,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),c_HOL_Ozero__class_Ozero(X1))
    | ~ class_RealVector_Oreal__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1690]) ).

cnf(c_0_1690_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X1)
    | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X3),c_HOL_Ozero__class_Ozero(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1690]) ).

cnf(c_0_1691_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2) = X3
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1691]) ).

cnf(c_0_1691_1,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != c_HOL_Ozero__class_Ozero(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2) = X3
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1691]) ).

cnf(c_0_1691_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) != c_HOL_Ozero__class_Ozero(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_1691]) ).

cnf(c_0_1692_0,axiom,
    ( X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1692]) ).

cnf(c_0_1692_1,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1692]) ).

cnf(c_0_1692_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1692]) ).

cnf(c_0_1693_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1693]) ).

cnf(c_0_1693_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1693]) ).

cnf(c_0_1694_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1694]) ).

cnf(c_0_1694_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1694]) ).

cnf(c_0_1695_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1695]) ).

cnf(c_0_1695_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1695]) ).

cnf(c_0_1696_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1696]) ).

cnf(c_0_1696_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1696]) ).

cnf(c_0_1697_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1697]) ).

cnf(c_0_1697_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1697]) ).

cnf(c_0_1698_0,axiom,
    ( c_SEQ_OLIMSEQ(X1,c_SEQ_Olim(X1,X2),X2)
    | ~ c_SEQ_Oconvergent(X1,X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1698]) ).

cnf(c_0_1698_1,axiom,
    ( ~ c_SEQ_Oconvergent(X1,X2)
    | c_SEQ_OLIMSEQ(X1,c_SEQ_Olim(X1,X2),X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1698]) ).

cnf(c_0_1698_2,axiom,
    ( ~ class_RealVector_Ometric__space(X2)
    | ~ c_SEQ_Oconvergent(X1,X2)
    | c_SEQ_OLIMSEQ(X1,c_SEQ_Olim(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1698]) ).

cnf(c_0_1699_0,axiom,
    ( c_Series_Osums(X1,c_Series_Osuminf(X1,X2),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1699]) ).

cnf(c_0_1699_1,axiom,
    ( ~ c_Series_Osummable(X1,X2)
    | c_Series_Osums(X1,c_Series_Osuminf(X1,X2),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1699]) ).

cnf(c_0_1699_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Series_Osummable(X1,X2)
    | c_Series_Osums(X1,c_Series_Osuminf(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1699]) ).

cnf(c_0_1700_0,axiom,
    ( c_Series_Osums(X1,c_Series_Osuminf(X1,X2),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1700]) ).

cnf(c_0_1700_1,axiom,
    ( ~ c_Series_Osummable(X1,X2)
    | c_Series_Osums(X1,c_Series_Osuminf(X1,X2),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1700]) ).

cnf(c_0_1700_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Series_Osummable(X1,X2)
    | c_Series_Osums(X1,c_Series_Osuminf(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1700]) ).

cnf(c_0_1701_0,axiom,
    ( X2 = c_Series_Osuminf(X1,X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1701]) ).

cnf(c_0_1701_1,axiom,
    ( ~ c_Series_Osums(X1,X2,X3)
    | X2 = c_Series_Osuminf(X1,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1701]) ).

cnf(c_0_1701_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | X2 = c_Series_Osuminf(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1701]) ).

cnf(c_0_1702_0,axiom,
    ( c_Series_Osuminf(X1,X3) = X2
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1702]) ).

cnf(c_0_1702_1,axiom,
    ( ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osuminf(X1,X3) = X2
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1702]) ).

cnf(c_0_1702_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osuminf(X1,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1702]) ).

cnf(c_0_1703_0,axiom,
    ( c_SEQ_Olim(X1,X3) = X2
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1703]) ).

cnf(c_0_1703_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_Olim(X1,X3) = X2
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1703]) ).

cnf(c_0_1703_2,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_Olim(X1,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1703]) ).

cnf(c_0_1704_0,axiom,
    ( c_Series_Osummable(X1,X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1704]) ).

cnf(c_0_1704_1,axiom,
    ( ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osummable(X1,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1704]) ).

cnf(c_0_1704_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osummable(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1704]) ).

cnf(c_0_1705_0,axiom,
    ( c_Series_Osummable(X1,X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1705]) ).

cnf(c_0_1705_1,axiom,
    ( ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osummable(X1,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1705]) ).

cnf(c_0_1705_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osummable(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1705]) ).

cnf(c_0_1706_0,axiom,
    ( c_SEQ_Oconvergent(X1,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1706]) ).

cnf(c_0_1706_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_Oconvergent(X1,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1706]) ).

cnf(c_0_1706_2,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_Oconvergent(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1706]) ).

cnf(c_0_1707_0,axiom,
    ( c_SEQ_Oconvergent(X1,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1707]) ).

cnf(c_0_1707_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_Oconvergent(X1,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1707]) ).

cnf(c_0_1707_2,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_Oconvergent(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1707]) ).

cnf(c_0_1708_0,axiom,
    ( c_SEQ_OCauchy(X1,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1708]) ).

cnf(c_0_1708_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OCauchy(X1,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1708]) ).

cnf(c_0_1708_2,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OCauchy(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1708]) ).

cnf(c_0_1709_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1709]) ).

cnf(c_0_1709_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1709]) ).

cnf(c_0_1709_2,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3) != c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1709]) ).

cnf(c_0_1709_3,axiom,
    ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3) != c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1709]) ).

cnf(c_0_1710_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1710]) ).

cnf(c_0_1710_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1710]) ).

cnf(c_0_1710_2,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3) != c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1710]) ).

cnf(c_0_1710_3,axiom,
    ( ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3) != c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1710]) ).

cnf(c_0_1711_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1711]) ).

cnf(c_0_1711_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1711]) ).

cnf(c_0_1711_2,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1) != c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1711]) ).

cnf(c_0_1711_3,axiom,
    ( ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1) != c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1711]) ).

cnf(c_0_1712_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X1),X2) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1712]) ).

cnf(c_0_1712_1,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X3)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X1),X2) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1712]) ).

cnf(c_0_1712_2,axiom,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X1),X2) != c_HOL_Ozero__class_Ozero(X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1712]) ).

cnf(c_0_1712_3,axiom,
    ( ~ class_RealVector_Oreal__vector(X3)
    | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X3),X1),X2) != c_HOL_Ozero__class_Ozero(X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1712]) ).

cnf(c_0_1713_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1) != X3
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1713]) ).

cnf(c_0_1713_1,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1) != X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1713]) ).

cnf(c_0_1713_2,axiom,
    ( ~ class_Int_Onumber__ring(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1) != X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1713]) ).

cnf(c_0_1713_3,axiom,
    ( ~ class_Ring__and__Field_Oidom(X2)
    | ~ class_Int_Onumber__ring(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1) != X3
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1713]) ).

cnf(c_0_1714_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1714]) ).

cnf(c_0_1714_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1714]) ).

cnf(c_0_1715_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1715]) ).

cnf(c_0_1715_1,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1715]) ).

cnf(c_0_1715_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X1) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1715]) ).

cnf(c_0_1716_0,axiom,
    ( c_Lim_OisUCont(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X1,X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1716]) ).

cnf(c_0_1716_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | c_Lim_OisUCont(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1716]) ).

cnf(c_0_1717_0,axiom,
    ( c_RealVector_Obounded__linear(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X1,X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1717]) ).

cnf(c_0_1717_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | c_RealVector_Obounded__linear(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1717]) ).

cnf(c_0_1718_0,axiom,
    ( c_Lim_OisUCont(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X1,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1718]) ).

cnf(c_0_1718_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | c_Lim_OisUCont(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1718]) ).

cnf(c_0_1719_0,axiom,
    ( c_RealVector_Obounded__linear(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X1,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1719]) ).

cnf(c_0_1719_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | c_RealVector_Obounded__linear(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),X1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1719]) ).

cnf(c_0_1720_0,axiom,
    ( c_SEQ_OLIMSEQ(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1720]) ).

cnf(c_0_1720_1,axiom,
    ( ~ c_Series_Osummable(X1,X2)
    | c_SEQ_OLIMSEQ(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1720]) ).

cnf(c_0_1720_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Series_Osummable(X1,X2)
    | c_SEQ_OLIMSEQ(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1720]) ).

cnf(c_0_1721_0,axiom,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1721]) ).

cnf(c_0_1721_1,axiom,
    ( ~ c_fequal(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1721]) ).

cnf(c_0_1722_0,axiom,
    ( hAPP(c_RealVector_Onorm__class_Onorm(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = hAPP(c_RealVector_Onorm__class_Onorm(X1),X2)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1722]) ).

cnf(c_0_1722_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | hAPP(c_RealVector_Onorm__class_Onorm(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = hAPP(c_RealVector_Onorm__class_Onorm(X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1722]) ).

cnf(c_0_1723_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = X3
    | hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1) != hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1723]) ).

cnf(c_0_1723_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = X3
    | hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1) != hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1723]) ).

cnf(c_0_1723_2,axiom,
    ( X1 = X3
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1) != hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1723]) ).

cnf(c_0_1723_3,axiom,
    ( hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1) != hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3)
    | X1 = X3
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1723]) ).

cnf(c_0_1723_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1) != hAPP(c_HOL_Oinverse__class_Oinverse(X2),X3)
    | X1 = X3
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1723]) ).

cnf(c_0_1724_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1724]) ).

cnf(c_0_1724_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1724]) ).

cnf(c_0_1725_0,axiom,
    ( X1 = X2
    | hAPP(c_Complex_ORe,X1) != hAPP(c_Complex_ORe,X2)
    | hAPP(c_Complex_OIm,X1) != hAPP(c_Complex_OIm,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1725]) ).

cnf(c_0_1725_1,axiom,
    ( hAPP(c_Complex_ORe,X1) != hAPP(c_Complex_ORe,X2)
    | X1 = X2
    | hAPP(c_Complex_OIm,X1) != hAPP(c_Complex_OIm,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1725]) ).

cnf(c_0_1725_2,axiom,
    ( hAPP(c_Complex_OIm,X1) != hAPP(c_Complex_OIm,X2)
    | hAPP(c_Complex_ORe,X1) != hAPP(c_Complex_ORe,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1725]) ).

cnf(c_0_1726_0,axiom,
    ( X1 = X2
    | hAPP(c_HOL_Oinverse__class_Oinverse(X3),X1) != hAPP(c_HOL_Oinverse__class_Oinverse(X3),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Odivision__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1726]) ).

cnf(c_0_1726_1,axiom,
    ( hAPP(c_HOL_Oinverse__class_Oinverse(X3),X1) != hAPP(c_HOL_Oinverse__class_Oinverse(X3),X2)
    | X1 = X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Odivision__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1726]) ).

cnf(c_0_1726_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | hAPP(c_HOL_Oinverse__class_Oinverse(X3),X1) != hAPP(c_HOL_Oinverse__class_Oinverse(X3),X2)
    | X1 = X2
    | ~ class_Ring__and__Field_Odivision__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1726]) ).

cnf(c_0_1726_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | hAPP(c_HOL_Oinverse__class_Oinverse(X3),X1) != hAPP(c_HOL_Oinverse__class_Oinverse(X3),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1726]) ).

cnf(c_0_1727_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1727]) ).

cnf(c_0_1727_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1727]) ).

cnf(c_0_1728_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1728]) ).

cnf(c_0_1728_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1728]) ).

cnf(c_0_1729_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1729]) ).

cnf(c_0_1729_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1729]) ).

cnf(c_0_1730_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1730]) ).

cnf(c_0_1730_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1730]) ).

cnf(c_0_1731_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Omult__zero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1731]) ).

cnf(c_0_1731_1,axiom,
    ( ~ class_Ring__and__Field_Omult__zero(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1731]) ).

cnf(c_0_1732_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1732]) ).

cnf(c_0_1732_1,axiom,
    ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1732]) ).

cnf(c_0_1733_0,axiom,
    ( hAPP(c_HOL_Oinverse__class_Oinverse(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2)) = X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Odivision__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1733]) ).

cnf(c_0_1733_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | hAPP(c_HOL_Oinverse__class_Oinverse(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2)) = X2
    | ~ class_Ring__and__Field_Odivision__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1733]) ).

cnf(c_0_1733_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | hAPP(c_HOL_Oinverse__class_Oinverse(X1),hAPP(c_HOL_Oinverse__class_Oinverse(X1),X2)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1733]) ).

cnf(c_0_1734_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),c_HOL_Ozero__class_Ozero(X2)) = X1
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1734]) ).

cnf(c_0_1734_1,axiom,
    ( ~ class_Int_Onumber__ring(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),c_HOL_Ozero__class_Ozero(X2)) = X1
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1734]) ).

cnf(c_0_1734_2,axiom,
    ( ~ class_Ring__and__Field_Oidom(X2)
    | ~ class_Int_Onumber__ring(X2)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),c_HOL_Ozero__class_Ozero(X2)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1734]) ).

cnf(c_0_1735_0,axiom,
    ( X1 = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1735]) ).

cnf(c_0_1735_1,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | X1 = X2
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1735]) ).

cnf(c_0_1735_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1735]) ).

cnf(c_0_1736_0,axiom,
    ( X1 = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1736]) ).

cnf(c_0_1736_1,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | X1 = X2
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1736]) ).

cnf(c_0_1736_2,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X3)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1736]) ).

cnf(c_0_1737_0,axiom,
    ( X1 = X2
    | hAPP(c_RealVector_Oof__real(X3),X1) != hAPP(c_RealVector_Oof__real(X3),X2)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1737]) ).

cnf(c_0_1737_1,axiom,
    ( hAPP(c_RealVector_Oof__real(X3),X1) != hAPP(c_RealVector_Oof__real(X3),X2)
    | X1 = X2
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1737]) ).

cnf(c_0_1737_2,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X3)
    | hAPP(c_RealVector_Oof__real(X3),X1) != hAPP(c_RealVector_Oof__real(X3),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1737]) ).

cnf(c_0_1738_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1738]) ).

cnf(c_0_1738_1,axiom,
    ( ~ class_OrderedGroup_Omonoid__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1738]) ).

cnf(c_0_1739_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1739]) ).

cnf(c_0_1739_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1739]) ).

cnf(c_0_1740_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1740]) ).

cnf(c_0_1740_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1740]) ).

cnf(c_0_1741_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1741]) ).

cnf(c_0_1741_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Ozero__class_Ozero(X1)),X2) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1741]) ).

cnf(c_0_1742_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Oinverse__class_Oinverse(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)) = X1
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1742]) ).

cnf(c_0_1742_1,axiom,
    ( hAPP(c_HOL_Oinverse__class_Oinverse(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)) = X1
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1742]) ).

cnf(c_0_1742_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | hAPP(c_HOL_Oinverse__class_Oinverse(X2),hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1)) = X1
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1742]) ).

cnf(c_0_1743_0,axiom,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1743]) ).

cnf(c_0_1743_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1743]) ).

cnf(c_0_1744_0,axiom,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1744]) ).

cnf(c_0_1744_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X2) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1744]) ).

cnf(c_0_1745_0,axiom,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1745]) ).

cnf(c_0_1745_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X1)
    | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1745]) ).

cnf(c_0_1746_0,axiom,
    ( hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1746]) ).

cnf(c_0_1746_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X1)
    | hAPP(hAPP(c_RealVector_OscaleR__class_OscaleR(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),X2) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1746]) ).

cnf(c_0_1747_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1747]) ).

cnf(c_0_1747_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1747]) ).

cnf(c_0_1748_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1748]) ).

cnf(c_0_1748_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1748]) ).

cnf(c_0_1749_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1749]) ).

cnf(c_0_1749_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1749]) ).

cnf(c_0_1750_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Omult__zero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1750]) ).

cnf(c_0_1750_1,axiom,
    ( ~ class_Ring__and__Field_Omult__zero(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1750]) ).

cnf(c_0_1751_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1751]) ).

cnf(c_0_1751_1,axiom,
    ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1751]) ).

cnf(c_0_1752_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1752]) ).

cnf(c_0_1752_1,axiom,
    ( ~ class_OrderedGroup_Omonoid__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1752]) ).

cnf(c_0_1753_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1753]) ).

cnf(c_0_1753_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1753]) ).

cnf(c_0_1754_0,axiom,
    ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1754]) ).

cnf(c_0_1754_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Ozero__class_Ozero(X1)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1754]) ).

cnf(c_0_1755_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1755]) ).

cnf(c_0_1755_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1755]) ).

cnf(c_0_1756_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1756]) ).

cnf(c_0_1756_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1756]) ).

cnf(c_0_1757_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1757]) ).

cnf(c_0_1757_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1757]) ).

cnf(c_0_1758_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1758]) ).

cnf(c_0_1758_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1758]) ).

cnf(c_0_1759_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1759]) ).

cnf(c_0_1759_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1759]) ).

cnf(c_0_1760_0,axiom,
    ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2) = X2
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1760]) ).

cnf(c_0_1760_1,axiom,
    ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1)
    | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1760]) ).

cnf(c_0_1761_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1761]) ).

cnf(c_0_1761_1,axiom,
    ( hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1761]) ).

cnf(c_0_1761_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1761]) ).

cnf(c_0_1761_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1761]) ).

cnf(c_0_1762_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1762]) ).

cnf(c_0_1762_1,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1762]) ).

cnf(c_0_1762_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1762]) ).

cnf(c_0_1763_0,axiom,
    ( c_HOL_Ozero__class_Ozero(X1) = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2) != c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1763]) ).

cnf(c_0_1763_1,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2) != c_HOL_Ozero__class_Ozero(X1)
    | c_HOL_Ozero__class_Ozero(X1) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1763]) ).

cnf(c_0_1763_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2) != c_HOL_Ozero__class_Ozero(X1)
    | c_HOL_Ozero__class_Ozero(X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1763]) ).

cnf(c_0_1764_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1764]) ).

cnf(c_0_1764_1,axiom,
    ( hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1764]) ).

cnf(c_0_1764_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | hAPP(c_HOL_Oinverse__class_Oinverse(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1764]) ).

cnf(c_0_1765_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | hAPP(c_RealVector_Oof__real(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1765]) ).

cnf(c_0_1765_1,axiom,
    ( hAPP(c_RealVector_Oof__real(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1765]) ).

cnf(c_0_1765_2,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X2)
    | hAPP(c_RealVector_Oof__real(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1765]) ).

cnf(c_0_1766_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_RealVector_Onorm__class_Onorm(X2),X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1766]) ).

cnf(c_0_1766_1,axiom,
    ( hAPP(c_RealVector_Onorm__class_Onorm(X2),X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1766]) ).

cnf(c_0_1766_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | hAPP(c_RealVector_Onorm__class_Onorm(X2),X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1766]) ).

cnf(c_0_1767_0,axiom,
    ( X1 = X2
    | c_Complex_Ocomplex_OComplex(X3,X1) != c_Complex_Ocomplex_OComplex(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1767]) ).

cnf(c_0_1767_1,axiom,
    ( c_Complex_Ocomplex_OComplex(X3,X1) != c_Complex_Ocomplex_OComplex(X4,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1767]) ).

cnf(c_0_1768_0,axiom,
    ( X1 = X2
    | c_Complex_Ocomplex_OComplex(X1,X3) != c_Complex_Ocomplex_OComplex(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1768]) ).

cnf(c_0_1768_1,axiom,
    ( c_Complex_Ocomplex_OComplex(X1,X3) != c_Complex_Ocomplex_OComplex(X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1768]) ).

cnf(c_0_1769_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != X1
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1769]) ).

cnf(c_0_1769_1,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != X1
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1769]) ).

cnf(c_0_1769_2,axiom,
    ( ~ class_OrderedGroup_Oordered__ab__group__add(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != X1
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1769]) ).

cnf(c_0_1770_0,axiom,
    ( hAPP(c_HOL_Oinverse__class_Oinverse(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Odivision__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1770]) ).

cnf(c_0_1770_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | hAPP(c_HOL_Oinverse__class_Oinverse(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1770]) ).

cnf(c_0_1770_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | hAPP(c_HOL_Oinverse__class_Oinverse(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1770]) ).

cnf(c_0_1771_0,axiom,
    ( c_SEQ_OCauchy(X1,X2)
    | ~ c_SEQ_Oconvergent(X1,X2)
    | ~ class_SEQ_Ocomplete__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1771]) ).

cnf(c_0_1771_1,axiom,
    ( ~ c_SEQ_Oconvergent(X1,X2)
    | c_SEQ_OCauchy(X1,X2)
    | ~ class_SEQ_Ocomplete__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1771]) ).

cnf(c_0_1771_2,axiom,
    ( ~ class_SEQ_Ocomplete__space(X2)
    | ~ c_SEQ_Oconvergent(X1,X2)
    | c_SEQ_OCauchy(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1771]) ).

cnf(c_0_1772_0,axiom,
    ( c_SEQ_Oconvergent(X1,X2)
    | ~ c_SEQ_OCauchy(X1,X2)
    | ~ class_SEQ_Ocomplete__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1772]) ).

cnf(c_0_1772_1,axiom,
    ( ~ c_SEQ_OCauchy(X1,X2)
    | c_SEQ_Oconvergent(X1,X2)
    | ~ class_SEQ_Ocomplete__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1772]) ).

cnf(c_0_1772_2,axiom,
    ( ~ class_SEQ_Ocomplete__space(X2)
    | ~ c_SEQ_OCauchy(X1,X2)
    | c_SEQ_Oconvergent(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1772]) ).

cnf(c_0_1773_0,axiom,
    ( c_SEQ_OCauchy(X1,X2)
    | ~ c_SEQ_Oconvergent(X1,X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1773]) ).

cnf(c_0_1773_1,axiom,
    ( ~ c_SEQ_Oconvergent(X1,X2)
    | c_SEQ_OCauchy(X1,X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1773]) ).

cnf(c_0_1773_2,axiom,
    ( ~ class_RealVector_Ometric__space(X2)
    | ~ c_SEQ_Oconvergent(X1,X2)
    | c_SEQ_OCauchy(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1773]) ).

cnf(c_0_1774_0,axiom,
    ( hAPP(c_RealVector_Oof__real(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1774]) ).

cnf(c_0_1774_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X1)
    | hAPP(c_RealVector_Oof__real(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1774]) ).

cnf(c_0_1774_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1)
    | hAPP(c_RealVector_Oof__real(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1774]) ).

cnf(c_0_1775_0,axiom,
    ( X1 = X2
    | hAPP(c_Suc,X1) != hAPP(c_Suc,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1775]) ).

cnf(c_0_1775_1,axiom,
    ( hAPP(c_Suc,X1) != hAPP(c_Suc,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1775]) ).

cnf(c_0_1776_0,axiom,
    ( X1 = X2
    | hAPP(c_Suc,X1) != hAPP(c_Suc,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1776]) ).

cnf(c_0_1776_1,axiom,
    ( hAPP(c_Suc,X1) != hAPP(c_Suc,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1776]) ).

cnf(c_0_1777_0,axiom,
    ( hAPP(c_HOL_Oinverse__class_Oinverse(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1777]) ).

cnf(c_0_1777_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | hAPP(c_HOL_Oinverse__class_Oinverse(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1777]) ).

cnf(c_0_1778_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1778]) ).

cnf(c_0_1778_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1778]) ).

cnf(c_0_1779_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1779]) ).

cnf(c_0_1779_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1779]) ).

cnf(c_0_1780_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1780]) ).

cnf(c_0_1780_1,axiom,
    ( ~ class_OrderedGroup_Oordered__ab__group__add(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1780]) ).

cnf(c_0_1781_0,axiom,
    ( class_Lattices_Oboolean__algebra(tc_fun(X2,X1))
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1781]) ).

cnf(c_0_1781_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X1)
    | class_Lattices_Oboolean__algebra(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1781]) ).

cnf(c_0_1782_0,axiom,
    ( hAPP(c_RealVector_Onorm__class_Onorm(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1782]) ).

cnf(c_0_1782_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | hAPP(c_RealVector_Onorm__class_Onorm(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1782]) ).

cnf(c_0_1783_0,axiom,
    ( hAPP(c_RealVector_Oof__real(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1783]) ).

cnf(c_0_1783_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X1)
    | hAPP(c_RealVector_Oof__real(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1783]) ).

cnf(c_0_1784_0,axiom,
    ( c_SEQ_Oconvergent(X1,tc_RealDef_Oreal)
    | ~ c_SEQ_OCauchy(X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1784]) ).

cnf(c_0_1784_1,axiom,
    ( ~ c_SEQ_OCauchy(X1,tc_RealDef_Oreal)
    | c_SEQ_Oconvergent(X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1784]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_591,negated_conjecture,
    ! [X1] :
      ( v_thesis____
      | ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X1,tc_RealDef_Oreal) ),
    file('<stdin>',cls_conjecture_1) ).

fof(c_0_1_592,negated_conjecture,
    ~ v_thesis____,
    file('<stdin>',cls_conjecture_0) ).

fof(c_0_2_593,negated_conjecture,
    ! [X1] :
      ( v_thesis____
      | ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X1,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_3_594,negated_conjecture,
    ~ v_thesis____,
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_4_595,negated_conjecture,
    ! [X2] :
      ( v_thesis____
      | ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X2,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_2])])]) ).

fof(c_0_5_596,negated_conjecture,
    ~ v_thesis____,
    c_0_3 ).

cnf(c_0_6_597,negated_conjecture,
    ( v_thesis____
    | ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7_598,negated_conjecture,
    ~ v_thesis____,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8_599,negated_conjecture,
    ( v_thesis____
    | ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X1,tc_RealDef_Oreal) ),
    c_0_6,
    [final] ).

cnf(c_0_9_600,negated_conjecture,
    ~ v_thesis____,
    c_0_7,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_1146,negated_conjecture,
    ~ v_thesis____,
    file('/export/starexec/sandbox/tmp/iprover_modulo_866cb0.p',c_0_9) ).

cnf(c_1472,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_1146]) ).

cnf(c_1476,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_1472]) ).

cnf(c_1477,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_1476]) ).

cnf(c_1478,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_1477]) ).

cnf(c_4906,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_1478]) ).

cnf(c_0,plain,
    ( ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X0,tc_RealDef_Oreal)
    | v_thesis____ ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_866cb0.p',c_0_1428_0) ).

cnf(c_2627,plain,
    ( ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X0,tc_RealDef_Oreal)
    | v_thesis____ ),
    inference(copy,[status(esa)],[c_0]) ).

cnf(c_2628,plain,
    ( v_thesis____
    | ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X0,tc_RealDef_Oreal) ),
    inference(rewriting,[status(thm)],[c_2627]) ).

cnf(c_4910,plain,
    ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X0,tc_RealDef_Oreal),
    inference(backward_subsumption_resolution,[status(thm)],[c_4906,c_2628]) ).

cnf(c_4911,plain,
    ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X0,tc_RealDef_Oreal),
    inference(rewriting,[status(thm)],[c_4910]) ).

cnf(c_1035,plain,
    c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),v_sko__CHAINED__1(v_f____,v_ga____,v_s),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/iprover_modulo_866cb0.p',c_0_581_0) ).

cnf(c_4697,plain,
    c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),v_sko__CHAINED__1(v_f____,v_ga____,v_s),tc_RealDef_Oreal),
    inference(copy,[status(esa)],[c_1035]) ).

cnf(c_4914,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_4911,c_4697]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : ALG365-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.14  % Command  : iprover_modulo %s %d
% 0.15/0.35  % Computer : n024.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Wed Jun  8 11:18:34 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.15/0.36  % Running in mono-core mode
% 0.22/0.50  % Orienting using strategy Equiv(ClausalAll)
% 0.22/0.50  % Orientation found
% 0.22/0.50  % 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_08647a.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_866cb0.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_b16a27 | grep -v "SZS"
% 0.22/0.53  
% 0.22/0.53  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.22/0.53  
% 0.22/0.53  % 
% 0.22/0.53  % ------  iProver source info 
% 0.22/0.53  
% 0.22/0.53  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.22/0.53  % git: non_committed_changes: true
% 0.22/0.53  % git: last_make_outside_of_git: true
% 0.22/0.53  
% 0.22/0.53  % 
% 0.22/0.53  % ------ Input Options
% 0.22/0.53  
% 0.22/0.53  % --out_options                         all
% 0.22/0.53  % --tptp_safe_out                       true
% 0.22/0.53  % --problem_path                        ""
% 0.22/0.53  % --include_path                        ""
% 0.22/0.53  % --clausifier                          .//eprover
% 0.22/0.53  % --clausifier_options                  --tstp-format  
% 0.22/0.53  % --stdin                               false
% 0.22/0.53  % --dbg_backtrace                       false
% 0.22/0.53  % --dbg_dump_prop_clauses               false
% 0.22/0.53  % --dbg_dump_prop_clauses_file          -
% 0.22/0.53  % --dbg_out_stat                        false
% 0.22/0.53  
% 0.22/0.53  % ------ General Options
% 0.22/0.53  
% 0.22/0.53  % --fof                                 false
% 0.22/0.53  % --time_out_real                       150.
% 0.22/0.53  % --time_out_prep_mult                  0.2
% 0.22/0.53  % --time_out_virtual                    -1.
% 0.22/0.53  % --schedule                            none
% 0.22/0.53  % --ground_splitting                    input
% 0.22/0.53  % --splitting_nvd                       16
% 0.22/0.53  % --non_eq_to_eq                        false
% 0.22/0.53  % --prep_gs_sim                         true
% 0.22/0.53  % --prep_unflatten                      false
% 0.22/0.53  % --prep_res_sim                        true
% 0.22/0.53  % --prep_upred                          true
% 0.22/0.53  % --res_sim_input                       true
% 0.22/0.53  % --clause_weak_htbl                    true
% 0.22/0.53  % --gc_record_bc_elim                   false
% 0.22/0.53  % --symbol_type_check                   false
% 0.22/0.53  % --clausify_out                        false
% 0.22/0.53  % --large_theory_mode                   false
% 0.22/0.53  % --prep_sem_filter                     none
% 0.22/0.53  % --prep_sem_filter_out                 false
% 0.22/0.53  % --preprocessed_out                    false
% 0.22/0.53  % --sub_typing                          false
% 0.22/0.53  % --brand_transform                     false
% 0.22/0.53  % --pure_diseq_elim                     true
% 0.22/0.53  % --min_unsat_core                      false
% 0.22/0.53  % --pred_elim                           true
% 0.22/0.53  % --add_important_lit                   false
% 0.22/0.53  % --soft_assumptions                    false
% 0.22/0.53  % --reset_solvers                       false
% 0.22/0.53  % --bc_imp_inh                          []
% 0.22/0.53  % --conj_cone_tolerance                 1.5
% 0.22/0.53  % --prolific_symb_bound                 500
% 0.22/0.53  % --lt_threshold                        2000
% 0.22/0.53  
% 0.22/0.53  % ------ SAT Options
% 0.22/0.53  
% 0.22/0.53  % --sat_mode                            false
% 0.22/0.53  % --sat_fm_restart_options              ""
% 0.22/0.53  % --sat_gr_def                          false
% 0.22/0.53  % --sat_epr_types                       true
% 0.22/0.53  % --sat_non_cyclic_types                false
% 0.22/0.53  % --sat_finite_models                   false
% 0.22/0.53  % --sat_fm_lemmas                       false
% 0.22/0.53  % --sat_fm_prep                         false
% 0.22/0.53  % --sat_fm_uc_incr                      true
% 0.22/0.53  % --sat_out_model                       small
% 0.22/0.53  % --sat_out_clauses                     false
% 0.22/0.53  
% 0.22/0.53  % ------ QBF Options
% 0.22/0.53  
% 0.22/0.53  % --qbf_mode                            false
% 0.22/0.53  % --qbf_elim_univ                       true
% 0.22/0.53  % --qbf_sk_in                           true
% 0.22/0.53  % --qbf_pred_elim                       true
% 0.22/0.53  % --qbf_split                           32
% 0.22/0.53  
% 0.22/0.53  % ------ BMC1 Options
% 0.22/0.53  
% 0.22/0.53  % --bmc1_incremental                    false
% 0.22/0.53  % --bmc1_axioms                         reachable_all
% 0.22/0.53  % --bmc1_min_bound                      0
% 0.22/0.53  % --bmc1_max_bound                      -1
% 0.22/0.53  % --bmc1_max_bound_default              -1
% 0.22/0.53  % --bmc1_symbol_reachability            true
% 0.22/0.53  % --bmc1_property_lemmas                false
% 0.22/0.53  % --bmc1_k_induction                    false
% 0.22/0.53  % --bmc1_non_equiv_states               false
% 0.22/0.53  % --bmc1_deadlock                       false
% 0.22/0.53  % --bmc1_ucm                            false
% 0.22/0.53  % --bmc1_add_unsat_core                 none
% 0.22/0.53  % --bmc1_unsat_core_children            false
% 0.22/0.53  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.22/0.53  % --bmc1_out_stat                       full
% 0.22/0.53  % --bmc1_ground_init                    false
% 0.22/0.53  % --bmc1_pre_inst_next_state            false
% 0.22/0.53  % --bmc1_pre_inst_state                 false
% 0.22/0.53  % --bmc1_pre_inst_reach_state           false
% 0.22/0.53  % --bmc1_out_unsat_core                 false
% 0.22/0.53  % --bmc1_aig_witness_out                false
% 0.22/0.53  % --bmc1_verbose                        false
% 0.22/0.53  % --bmc1_dump_clauses_tptp              false
% 0.47/0.63  % --bmc1_dump_unsat_core_tptp           false
% 0.47/0.63  % --bmc1_dump_file                      -
% 0.47/0.63  % --bmc1_ucm_expand_uc_limit            128
% 0.47/0.63  % --bmc1_ucm_n_expand_iterations        6
% 0.47/0.63  % --bmc1_ucm_extend_mode                1
% 0.47/0.63  % --bmc1_ucm_init_mode                  2
% 0.47/0.63  % --bmc1_ucm_cone_mode                  none
% 0.47/0.63  % --bmc1_ucm_reduced_relation_type      0
% 0.47/0.63  % --bmc1_ucm_relax_model                4
% 0.47/0.63  % --bmc1_ucm_full_tr_after_sat          true
% 0.47/0.63  % --bmc1_ucm_expand_neg_assumptions     false
% 0.47/0.63  % --bmc1_ucm_layered_model              none
% 0.47/0.63  % --bmc1_ucm_max_lemma_size             10
% 0.47/0.63  
% 0.47/0.63  % ------ AIG Options
% 0.47/0.63  
% 0.47/0.63  % --aig_mode                            false
% 0.47/0.63  
% 0.47/0.63  % ------ Instantiation Options
% 0.47/0.63  
% 0.47/0.63  % --instantiation_flag                  true
% 0.47/0.63  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.47/0.63  % --inst_solver_per_active              750
% 0.47/0.63  % --inst_solver_calls_frac              0.5
% 0.47/0.63  % --inst_passive_queue_type             priority_queues
% 0.47/0.63  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.47/0.63  % --inst_passive_queues_freq            [25;2]
% 0.47/0.63  % --inst_dismatching                    true
% 0.47/0.63  % --inst_eager_unprocessed_to_passive   true
% 0.47/0.63  % --inst_prop_sim_given                 true
% 0.47/0.63  % --inst_prop_sim_new                   false
% 0.47/0.63  % --inst_orphan_elimination             true
% 0.47/0.63  % --inst_learning_loop_flag             true
% 0.47/0.63  % --inst_learning_start                 3000
% 0.47/0.63  % --inst_learning_factor                2
% 0.47/0.63  % --inst_start_prop_sim_after_learn     3
% 0.47/0.63  % --inst_sel_renew                      solver
% 0.47/0.63  % --inst_lit_activity_flag              true
% 0.47/0.63  % --inst_out_proof                      true
% 0.47/0.63  
% 0.47/0.63  % ------ Resolution Options
% 0.47/0.63  
% 0.47/0.63  % --resolution_flag                     true
% 0.47/0.63  % --res_lit_sel                         kbo_max
% 0.47/0.63  % --res_to_prop_solver                  none
% 0.47/0.63  % --res_prop_simpl_new                  false
% 0.47/0.63  % --res_prop_simpl_given                false
% 0.47/0.63  % --res_passive_queue_type              priority_queues
% 0.47/0.63  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.47/0.63  % --res_passive_queues_freq             [15;5]
% 0.47/0.63  % --res_forward_subs                    full
% 0.47/0.63  % --res_backward_subs                   full
% 0.47/0.63  % --res_forward_subs_resolution         true
% 0.47/0.63  % --res_backward_subs_resolution        true
% 0.47/0.63  % --res_orphan_elimination              false
% 0.47/0.63  % --res_time_limit                      1000.
% 0.47/0.63  % --res_out_proof                       true
% 0.47/0.63  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_08647a.s
% 0.47/0.63  % --modulo                              true
% 0.47/0.63  
% 0.47/0.63  % ------ Combination Options
% 0.47/0.63  
% 0.47/0.63  % --comb_res_mult                       1000
% 0.47/0.63  % --comb_inst_mult                      300
% 0.47/0.63  % ------ 
% 0.47/0.63  
% 0.47/0.63  % ------ Parsing...% successful
% 0.47/0.63  
% 0.47/0.63  % ------ 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 % 
% 0.47/0.63  
% 0.47/0.63  % ------ Proving...
% 0.47/0.63  % ------ Problem Properties 
% 0.47/0.63  
% 0.47/0.63  % 
% 0.47/0.63  % EPR                                   false
% 0.47/0.63  % Horn                                  false
% 0.47/0.63  % Has equality                          true
% 0.47/0.63  
% 0.47/0.63  % % ------ Input Options Time Limit: Unbounded
% 0.47/0.63  
% 0.47/0.63  
% 0.47/0.63  % warning: Clause {v_thesis____;~(c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X0,tc_RealDef_Oreal))} has no selected literals
% 0.47/0.63  cnf(c_1145,negated_conjecture,
% 0.47/0.63      ( v_thesis____
% 0.47/0.63      | ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X0,tc_RealDef_Oreal) ),
% 0.47/0.63      file('/export/starexec/sandbox/tmp/iprover_modulo_866cb0.p', c_0_8) ).
% 0.47/0.63  
% 0.47/0.63  % warning: Clause {v_thesis____;~(c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X0,tc_RealDef_Oreal))} has no selected literals
% 0.47/0.63  cnf(c_1145,negated_conjecture,
% 0.47/0.63      ( v_thesis____
% 0.47/0.63      | ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X0,tc_RealDef_Oreal) ),
% 0.91/1.23      file('/export/starexec/sandbox/tmp/iprover_modulo_866cb0.p', c_0_8) ).
% 0.91/1.23  
% 0.91/1.23  Compiling...
% 0.91/1.23  Loading plugin: done.
% 0.91/1.23  Compiling...
% 0.91/1.23  Loading plugin: done.
% 0.91/1.23  Compiling...
% 0.91/1.23  Loading plugin: done.
% 0.91/1.23  Compiling...
% 0.91/1.23  Loading plugin: done.
% 0.91/1.23  % warning: Clause {v_thesis____;~(c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X0,tc_RealDef_Oreal))} has no selected literals
% 0.91/1.23  cnf(c_1145,negated_conjecture,
% 0.91/1.23      ( v_thesis____
% 0.91/1.23      | ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X0,tc_RealDef_Oreal) ),
% 0.91/1.23      file('/export/starexec/sandbox/tmp/iprover_modulo_866cb0.p', c_0_8) ).
% 0.91/1.23  
% 0.91/1.23  Compiling...
% 0.91/1.23  Loading plugin: done.
% 0.91/1.23  % warning: Clause {v_thesis____;~(c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X0,tc_RealDef_Oreal))} has no selected literals
% 0.91/1.23  cnf(c_1145,negated_conjecture,
% 0.91/1.23      ( v_thesis____
% 0.91/1.23      | ~ c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,c_COMBB(v_s,c_COMBB(v_f____,v_ga____,tc_nat,tc_nat,tc_nat),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),X0,tc_RealDef_Oreal) ),
% 0.91/1.23      file('/export/starexec/sandbox/tmp/iprover_modulo_866cb0.p', c_0_8) ).
% 0.91/1.23  
% 0.91/1.23  % % ------ Current options:
% 0.91/1.23  
% 0.91/1.23  % ------ Input Options
% 0.91/1.23  
% 0.91/1.23  % --out_options                         all
% 0.91/1.23  % --tptp_safe_out                       true
% 0.91/1.23  % --problem_path                        ""
% 0.91/1.23  % --include_path                        ""
% 0.91/1.23  % --clausifier                          .//eprover
% 0.91/1.23  % --clausifier_options                  --tstp-format  
% 0.91/1.23  % --stdin                               false
% 0.91/1.23  % --dbg_backtrace                       false
% 0.91/1.23  % --dbg_dump_prop_clauses               false
% 0.91/1.23  % --dbg_dump_prop_clauses_file          -
% 0.91/1.23  % --dbg_out_stat                        false
% 0.91/1.23  
% 0.91/1.23  % ------ General Options
% 0.91/1.23  
% 0.91/1.23  % --fof                                 false
% 0.91/1.23  % --time_out_real                       150.
% 0.91/1.23  % --time_out_prep_mult                  0.2
% 0.91/1.23  % --time_out_virtual                    -1.
% 0.91/1.23  % --schedule                            none
% 0.91/1.23  % --ground_splitting                    input
% 0.91/1.23  % --splitting_nvd                       16
% 0.91/1.23  % --non_eq_to_eq                        false
% 0.91/1.23  % --prep_gs_sim                         true
% 0.91/1.23  % --prep_unflatten                      false
% 0.91/1.23  % --prep_res_sim                        true
% 0.91/1.23  % --prep_upred                          true
% 0.91/1.23  % --res_sim_input                       true
% 0.91/1.23  % --clause_weak_htbl                    true
% 0.91/1.23  % --gc_record_bc_elim                   false
% 0.91/1.23  % --symbol_type_check                   false
% 0.91/1.23  % --clausify_out                        false
% 0.91/1.23  % --large_theory_mode                   false
% 0.91/1.23  % --prep_sem_filter                     none
% 0.91/1.23  % --prep_sem_filter_out                 false
% 0.91/1.23  % --preprocessed_out                    false
% 0.91/1.23  % --sub_typing                          false
% 0.91/1.23  % --brand_transform                     false
% 0.91/1.23  % --pure_diseq_elim                     true
% 0.91/1.23  % --min_unsat_core                      false
% 0.91/1.23  % --pred_elim                           true
% 0.91/1.23  % --add_important_lit                   false
% 0.91/1.23  % --soft_assumptions                    false
% 0.91/1.23  % --reset_solvers                       false
% 0.91/1.23  % --bc_imp_inh                          []
% 0.91/1.23  % --conj_cone_tolerance                 1.5
% 0.91/1.23  % --prolific_symb_bound                 500
% 0.91/1.23  % --lt_threshold                        2000
% 0.91/1.23  
% 0.91/1.23  % ------ SAT Options
% 0.91/1.23  
% 0.91/1.23  % --sat_mode                            false
% 0.91/1.23  % --sat_fm_restart_options              ""
% 0.91/1.23  % --sat_gr_def                          false
% 0.91/1.23  % --sat_epr_types                       true
% 0.91/1.23  % --sat_non_cyclic_types                false
% 0.91/1.23  % --sat_finite_models                   false
% 0.91/1.23  % --sat_fm_lemmas                       false
% 0.91/1.23  % --sat_fm_prep                         false
% 0.91/1.23  % --sat_fm_uc_incr                      true
% 0.91/1.23  % --sat_out_model                       small
% 0.91/1.23  % --sat_out_clauses                     false
% 1.04/1.23  
% 1.04/1.23  % ------ QBF Options
% 1.04/1.23  
% 1.04/1.23  % --qbf_mode                            false
% 1.04/1.23  % --qbf_elim_univ                       true
% 1.04/1.23  % --qbf_sk_in                           true
% 1.04/1.23  % --qbf_pred_elim                       true
% 1.04/1.23  % --qbf_split                           32
% 1.04/1.23  
% 1.04/1.23  % ------ BMC1 Options
% 1.04/1.23  
% 1.04/1.23  % --bmc1_incremental                    false
% 1.04/1.23  % --bmc1_axioms                         reachable_all
% 1.04/1.23  % --bmc1_min_bound                      0
% 1.04/1.23  % --bmc1_max_bound                      -1
% 1.04/1.23  % --bmc1_max_bound_default              -1
% 1.04/1.23  % --bmc1_symbol_reachability            true
% 1.04/1.23  % --bmc1_property_lemmas                false
% 1.04/1.23  % --bmc1_k_induction                    false
% 1.04/1.23  % --bmc1_non_equiv_states               false
% 1.04/1.23  % --bmc1_deadlock                       false
% 1.04/1.23  % --bmc1_ucm                            false
% 1.04/1.23  % --bmc1_add_unsat_core                 none
% 1.04/1.23  % --bmc1_unsat_core_children            false
% 1.04/1.23  % --bmc1_unsat_core_extrapolate_axioms  false
% 1.04/1.23  % --bmc1_out_stat                       full
% 1.04/1.23  % --bmc1_ground_init                    false
% 1.04/1.23  % --bmc1_pre_inst_next_state            false
% 1.04/1.23  % --bmc1_pre_inst_state                 false
% 1.04/1.23  % --bmc1_pre_inst_reach_state           false
% 1.04/1.23  % --bmc1_out_unsat_core                 false
% 1.04/1.23  % --bmc1_aig_witness_out                false
% 1.04/1.23  % --bmc1_verbose                        false
% 1.04/1.23  % --bmc1_dump_clauses_tptp              false
% 1.04/1.23  % --bmc1_dump_unsat_core_tptp           false
% 1.04/1.23  % --bmc1_dump_file                      -
% 1.04/1.23  % --bmc1_ucm_expand_uc_limit            128
% 1.04/1.23  % --bmc1_ucm_n_expand_iterations        6
% 1.04/1.23  % --bmc1_ucm_extend_mode                1
% 1.04/1.23  % --bmc1_ucm_init_mode                  2
% 1.04/1.23  % --bmc1_ucm_cone_mode                  none
% 1.04/1.23  % --bmc1_ucm_reduced_relation_type      0
% 1.04/1.23  % --bmc1_ucm_relax_model                4
% 1.04/1.23  % --bmc1_ucm_full_tr_after_sat          true
% 1.04/1.23  % --bmc1_ucm_expand_neg_assumptions     false
% 1.04/1.23  % --bmc1_ucm_layered_model              none
% 1.04/1.23  % --bmc1_ucm_max_lemma_size             10
% 1.04/1.23  
% 1.04/1.23  % ------ AIG Options
% 1.04/1.23  
% 1.04/1.23  % --aig_mode                            false
% 1.04/1.23  
% 1.04/1.23  % ------ Instantiation Options
% 1.04/1.23  
% 1.04/1.23  % --instantiation_flag                  true
% 1.04/1.23  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 1.04/1.23  % --inst_solver_per_active              750
% 1.04/1.23  % --inst_solver_calls_frac              0.5
% 1.04/1.23  % --inst_passive_queue_type             priority_queues
% 1.04/1.23  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 1.04/1.23  % --inst_passive_queues_freq            [25;2]
% 1.04/1.23  % --inst_dismatching                    true
% 1.04/1.23  % --inst_eager_unprocessed_to_passive   true
% 1.04/1.23  % --inst_prop_sim_given                 true
% 1.04/1.23  % --inst_prop_sim_new                   false
% 1.04/1.23  % --inst_orphan_elimination             true
% 1.04/1.23  % --inst_learning_loop_flag             true
% 1.04/1.23  % --inst_learning_start                 3000
% 1.04/1.23  % --inst_learning_factor                2
% 1.04/1.23  % --inst_start_prop_sim_after_learn     3
% 1.04/1.23  % --inst_sel_renew                      solver
% 1.04/1.23  % --inst_lit_activity_flag              true
% 1.04/1.23  % --inst_out_proof                      true
% 1.04/1.23  
% 1.04/1.23  % ------ Resolution Options
% 1.04/1.23  
% 1.04/1.23  % --resolution_flag                     true
% 1.04/1.23  % --res_lit_sel                         kbo_max
% 1.04/1.23  % --res_to_prop_solver                  none
% 1.04/1.23  % --res_prop_simpl_new                  false
% 1.04/1.23  % --res_prop_simpl_given                false
% 1.04/1.23  % --res_passive_queue_type              priority_queues
% 1.04/1.23  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.04/1.23  % --res_passive_queues_freq             [15;5]
% 1.04/1.23  % --res_forward_subs                    full
% 1.04/1.23  % --res_backward_subs                   full
% 1.04/1.23  % --res_forward_subs_resolution         true
% 1.04/1.23  % --res_backward_subs_resolution        true
% 1.04/1.23  % --res_orphan_elimination              false
% 1.04/1.23  % --res_time_limit                      1000.
% 1.04/1.23  % --res_out_proof                       true
% 1.04/1.23  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_08647a.s
% 1.04/1.23  % --modulo                              true
% 1.04/1.23  
% 1.04/1.23  % ------ Combination Options
% 1.04/1.23  
% 1.04/1.23  % --comb_res_mult                       1000
% 1.04/1.23  % --comb_inst_mult                      300
% 1.04/1.23  % ------ 
% 1.04/1.23  
% 1.04/1.23  
% 1.04/1.23  
% 1.04/1.23  % ------ Proving...
% 1.04/1.23  % 
% 1.04/1.23  
% 1.04/1.23  
% 1.04/1.23  %  Resolution empty clause
% 1.04/1.23  
% 1.04/1.23  % ------                             Statistics
% 1.04/1.23  
% 1.04/1.23  % ------ General
% 1.04/1.23  
% 1.04/1.23  % num_of_input_clauses:                 1147
% 1.04/1.23  % num_of_input_neg_conjectures:         2
% 1.04/1.23  % num_of_splits:                        0
% 1.04/1.23  % num_of_split_atoms:                   0
% 1.04/1.23  % num_of_sem_filtered_clauses:          0
% 1.04/1.23  % num_of_subtypes:                      0
% 1.04/1.23  % monotx_restored_types:                0
% 1.04/1.23  % sat_num_of_epr_types:                 0
% 1.04/1.23  % sat_num_of_non_cyclic_types:          0
% 1.04/1.23  % sat_guarded_non_collapsed_types:      0
% 1.04/1.23  % is_epr:                               0
% 1.04/1.23  % is_horn:                              0
% 1.04/1.23  % has_eq:                               1
% 1.04/1.23  % num_pure_diseq_elim:                  0
% 1.04/1.23  % simp_replaced_by:                     0
% 1.04/1.23  % res_preprocessed:                     2
% 1.04/1.23  % prep_upred:                           0
% 1.04/1.23  % prep_unflattend:                      0
% 1.04/1.23  % pred_elim_cands:                      0
% 1.04/1.23  % pred_elim:                            0
% 1.04/1.23  % pred_elim_cl:                         0
% 1.04/1.23  % pred_elim_cycles:                     0
% 1.04/1.23  % forced_gc_time:                       0
% 1.04/1.23  % gc_basic_clause_elim:                 0
% 1.04/1.23  % parsing_time:                         0.068
% 1.04/1.23  % sem_filter_time:                      0.
% 1.04/1.23  % pred_elim_time:                       0.
% 1.04/1.23  % out_proof_time:                       0.001
% 1.04/1.23  % monotx_time:                          0.
% 1.04/1.23  % subtype_inf_time:                     0.
% 1.04/1.23  % unif_index_cands_time:                0.
% 1.04/1.23  % unif_index_add_time:                  0.
% 1.04/1.23  % total_time:                           0.721
% 1.04/1.23  % num_of_symbols:                       111
% 1.04/1.23  % num_of_terms:                         3223
% 1.04/1.23  
% 1.04/1.23  % ------ Propositional Solver
% 1.04/1.23  
% 1.04/1.23  % prop_solver_calls:                    1
% 1.04/1.23  % prop_fast_solver_calls:               3
% 1.04/1.23  % prop_num_of_clauses:                  998
% 1.04/1.23  % prop_preprocess_simplified:           3412
% 1.04/1.23  % prop_fo_subsumed:                     0
% 1.04/1.23  % prop_solver_time:                     0.
% 1.04/1.23  % prop_fast_solver_time:                0.
% 1.04/1.23  % prop_unsat_core_time:                 0.
% 1.04/1.23  
% 1.04/1.23  % ------ QBF 
% 1.04/1.23  
% 1.04/1.23  % qbf_q_res:                            0
% 1.04/1.23  % qbf_num_tautologies:                  0
% 1.04/1.23  % qbf_prep_cycles:                      0
% 1.04/1.23  
% 1.04/1.23  % ------ BMC1
% 1.04/1.23  
% 1.04/1.23  % bmc1_current_bound:                   -1
% 1.04/1.23  % bmc1_last_solved_bound:               -1
% 1.04/1.23  % bmc1_unsat_core_size:                 -1
% 1.04/1.23  % bmc1_unsat_core_parents_size:         -1
% 1.04/1.23  % bmc1_merge_next_fun:                  0
% 1.04/1.23  % bmc1_unsat_core_clauses_time:         0.
% 1.04/1.23  
% 1.04/1.23  % ------ Instantiation
% 1.04/1.23  
% 1.04/1.23  % inst_num_of_clauses:                  1026
% 1.04/1.23  % inst_num_in_passive:                  0
% 1.04/1.23  % inst_num_in_active:                   0
% 1.04/1.23  % inst_num_in_unprocessed:              1148
% 1.04/1.23  % inst_num_of_loops:                    0
% 1.04/1.23  % inst_num_of_learning_restarts:        0
% 1.04/1.23  % inst_num_moves_active_passive:        0
% 1.04/1.23  % inst_lit_activity:                    0
% 1.04/1.23  % inst_lit_activity_moves:              0
% 1.04/1.23  % inst_num_tautologies:                 0
% 1.04/1.23  % inst_num_prop_implied:                0
% 1.04/1.23  % inst_num_existing_simplified:         0
% 1.04/1.23  % inst_num_eq_res_simplified:           0
% 1.04/1.23  % inst_num_child_elim:                  0
% 1.04/1.23  % inst_num_of_dismatching_blockings:    0
% 1.04/1.23  % inst_num_of_non_proper_insts:         0
% 1.04/1.23  % inst_num_of_duplicates:               0
% 1.04/1.23  % inst_inst_num_from_inst_to_res:       0
% 1.04/1.23  % inst_dismatching_checking_time:       0.
% 1.04/1.23  
% 1.04/1.23  % ------ Resolution
% 1.04/1.23  
% 1.04/1.23  % res_num_of_clauses:                   1123
% 1.04/1.23  % res_num_in_passive:                   0
% 1.04/1.23  % res_num_in_active:                    450
% 1.04/1.23  % res_num_of_loops:                     2
% 1.04/1.23  % res_forward_subset_subsumed:          682
% 1.04/1.23  % res_backward_subset_subsumed:         0
% 1.04/1.23  % res_forward_subsumed:                 0
% 1.04/1.23  % res_backward_subsumed:                0
% 1.04/1.23  % res_forward_subsumption_resolution:   0
% 1.04/1.23  % res_backward_subsumption_resolution:  2
% 1.04/1.23  % res_clause_to_clause_subsumption:     2
% 1.04/1.23  % res_orphan_elimination:               0
% 1.04/1.23  % res_tautology_del:                    0
% 1.04/1.23  % res_num_eq_res_simplified:            0
% 1.04/1.23  % res_num_sel_changes:                  0
% 1.04/1.23  % res_moves_from_active_to_pass:        0
% 1.04/1.23  
% 1.04/1.23  % Status Unsatisfiable
% 1.04/1.23  % SZS status Unsatisfiable
% 1.04/1.23  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------