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

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : ALG379-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n019.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 17:11:45 EDT 2022

% Result   : Unsatisfiable 8.41s 8.66s
% Output   : CNFRefutation 8.51s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
cnf(clsarity_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__Ring__and__Field_Odvd,axiom,
    class_Ring__and__Field_Odvd(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__Ring__and__Field_Odvd_0,plain,
    ( class_Ring__and__Field_Odvd(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Odvd]) ).

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__RealVector_Oreal__field,axiom,
    class_RealVector_Oreal__field(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__RealVector_Oreal__field_0,plain,
    ( class_RealVector_Oreal__field(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__field]) ).

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_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__OrderedGroup_Omonoid__mult,axiom,
    class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult_0,plain,
    ( class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult]) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring,axiom,
    class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring_0,plain,
    ( class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring]) ).

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_Ocomm__ring__1,axiom,
    class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1_0,plain,
    ( class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1]) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one_0,plain,
    ( class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one]) ).

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__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__OrderedGroup_Ocomm__monoid__mult,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult_0,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult]) ).

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__0,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0_0,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0]) ).

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__Int_Onumber__ring,axiom,
    class_Int_Onumber__ring(tc_RealDef_Oreal),
    input ).

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

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

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

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

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

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

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

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odvd,axiom,
    class_Ring__and__Field_Odvd(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Odvd_0,plain,
    ( class_Ring__and__Field_Odvd(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Odvd]) ).

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__RealVector_Oreal__field,axiom,
    class_RealVector_Oreal__field(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__RealVector_Oreal__field_0,plain,
    ( class_RealVector_Oreal__field(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__field]) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if,axiom,
    class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if_0,plain,
    ( class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if]) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osgn__if,axiom,
    class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Osgn__if_0,plain,
    ( class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Osgn__if]) ).

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_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__OrderedGroup_Omonoid__mult,axiom,
    class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult_0,plain,
    ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult]) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring,axiom,
    class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring_0,plain,
    ( class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring]) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,axiom,
    class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono_0,plain,
    ( class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono]) ).

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_Omult__mono1,axiom,
    class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1_0,plain,
    ( class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1]) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring__1,axiom,
    class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring__1_0,plain,
    ( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring__1]) ).

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

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

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one_0,plain,
    ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one]) ).

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__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__Ring__and__Field_Olordered__ring,axiom,
    class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring_0,plain,
    ( class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring]) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field,axiom,
    class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field_0,plain,
    ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field]) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom,
    class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring_0,plain,
    ( class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Opordered__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__OrderedGroup_Ocomm__monoid__mult,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult_0,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult]) ).

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__0,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__0_0,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__0]) ).

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_Oordered__semidom,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom_0,plain,
    ( class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom]) ).

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__Ring__and__Field_Oordered__semiring,axiom,
    class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring_0,plain,
    ( class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring]) ).

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__Ring__and__Field_Opordered__ring__abs,axiom,
    class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs_0,plain,
    ( class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs]) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring_0,plain,
    ( class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring]) ).

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__OrderedGroup_Opordered__ab__group__add,axiom,
    class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
    input ).

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

cnf(clsarity_RealDef__Oreal__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_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,axiom,
    class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add_0,plain,
    ( class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add]) ).

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

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

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

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

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

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

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict_0,plain,
    ( class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict]) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring_0,plain,
    ( class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring]) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict_0,plain,
    ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict]) ).

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

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

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

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

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

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

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

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

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

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

cnf(clsarity_nat__Ring__and__Field_Odvd,axiom,
    class_Ring__and__Field_Odvd(tc_nat),
    input ).

fof(clsarity_nat__Ring__and__Field_Odvd_0,plain,
    ( class_Ring__and__Field_Odvd(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Odvd]) ).

cnf(clsarity_nat__Divides_Osemiring__div,axiom,
    class_Divides_Osemiring__div(tc_nat),
    input ).

fof(clsarity_nat__Divides_Osemiring__div_0,plain,
    ( class_Divides_Osemiring__div(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Divides_Osemiring__div]) ).

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__OrderedGroup_Omonoid__mult,axiom,
    class_OrderedGroup_Omonoid__mult(tc_nat),
    input ).

fof(clsarity_nat__OrderedGroup_Omonoid__mult_0,plain,
    ( class_OrderedGroup_Omonoid__mult(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Omonoid__mult]) ).

cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom,
    class_Ring__and__Field_Omult__mono(tc_nat),
    input ).

fof(clsarity_nat__Ring__and__Field_Omult__mono_0,plain,
    ( class_Ring__and__Field_Omult__mono(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Omult__mono]) ).

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_Omult__mono1,axiom,
    class_Ring__and__Field_Omult__mono1(tc_nat),
    input ).

fof(clsarity_nat__Ring__and__Field_Omult__mono1_0,plain,
    ( class_Ring__and__Field_Omult__mono1(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Omult__mono1]) ).

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

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

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

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

cnf(clsarity_nat__Ring__and__Field_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_Ocomm__monoid__mult,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
    input ).

fof(clsarity_nat__OrderedGroup_Ocomm__monoid__mult_0,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Ocomm__monoid__mult]) ).

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__0,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
    input ).

fof(clsarity_nat__Ring__and__Field_Ocomm__semiring__0_0,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Ocomm__semiring__0]) ).

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_Oordered__semidom,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_nat),
    input ).

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

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

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

cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom,
    class_Ring__and__Field_Oordered__semiring(tc_nat),
    input ).

fof(clsarity_nat__Ring__and__Field_Oordered__semiring_0,plain,
    ( class_Ring__and__Field_Oordered__semiring(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Oordered__semiring]) ).

cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_nat),
    input ).

fof(clsarity_nat__Ring__and__Field_Opordered__semiring_0,plain,
    ( class_Ring__and__Field_Opordered__semiring(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Opordered__semiring]) ).

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(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom,
    class_OrderedGroup_Opordered__comm__monoid__add(tc_nat),
    input ).

fof(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add_0,plain,
    ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Opordered__comm__monoid__add]) ).

cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
    input ).

fof(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add_0,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add]) ).

cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
    input ).

fof(clsarity_nat__Ring__and__Field_Oordered__semiring__strict_0,plain,
    ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Oordered__semiring__strict]) ).

cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
    input ).

fof(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring_0,plain,
    ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Opordered__cancel__semiring]) ).

cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
    input ).

fof(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict_0,plain,
    ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict]) ).

cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
    input ).

fof(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le_0,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le]) ).

cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
    input ).

fof(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add_0,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add]) ).

cnf(clsarity_nat__OrderedGroup_Ocancel__comm__monoid__add,axiom,
    class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat),
    input ).

fof(clsarity_nat__OrderedGroup_Ocancel__comm__monoid__add_0,plain,
    ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_nat__OrderedGroup_Ocancel__comm__monoid__add]) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__comm__monoid__add,axiom,
    class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__comm__monoid__add_0,plain,
    ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocancel__comm__monoid__add]) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add,axiom,
    class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add_0,plain,
    ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add]) ).

cnf(cls_CHAINED_0,axiom,
    c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    input ).

fof(cls_CHAINED_0_0,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[cls_CHAINED_0]) ).

cnf(cls_arctan__minus_0,axiom,
    c_Transcendental_Oarctan(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oarctan(V_x),tc_RealDef_Oreal),
    input ).

fof(cls_arctan__minus_0_0,plain,
    ! [V_x] :
      ( c_Transcendental_Oarctan(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oarctan(V_x),tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_arctan__minus_0]) ).

cnf(cls_complex__mod__cnj_0,axiom,
    c_RealVector_Onorm__class_Onorm(c_Complex_Ocnj(V_z),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),
    input ).

fof(cls_complex__mod__cnj_0_0,plain,
    ! [V_z] :
      ( c_RealVector_Onorm__class_Onorm(c_Complex_Ocnj(V_z),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex)
      | $false ),
    inference(orientation,[status(thm)],[cls_complex__mod__cnj_0]) ).

cnf(cls_mth1_1,axiom,
    c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xmth1__2(v_p,v_r),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(v_sko__local__Xmth1__1(v_p,v_r),tc_RealDef_Oreal),
    input ).

fof(cls_mth1_1_0,plain,
    ( c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xmth1__2(v_p,v_r),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(v_sko__local__Xmth1__1(v_p,v_r),tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[cls_mth1_1]) ).

cnf(cls_th_0,axiom,
    c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xth__1(V_n,v_p,v_r,v_s____),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
    input ).

fof(cls_th_0_0,plain,
    ! [V_n] :
      ( c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xth__1(V_n,v_p,v_r,v_s____),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_th_0]) ).

cnf(cls_mth1_0,axiom,
    c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xmth1__2(v_p,v_r),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
    input ).

fof(cls_mth1_0_0,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xmth1__2(v_p,v_r),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[cls_mth1_0]) ).

cnf(cls_tan__minus_0,axiom,
    c_Transcendental_Otan(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Otan(V_x),tc_RealDef_Oreal),
    input ).

fof(cls_tan__minus_0_0,plain,
    ! [V_x] :
      ( c_Transcendental_Otan(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Otan(V_x),tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_tan__minus_0]) ).

cnf(cls_sin__minus_0,axiom,
    c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal),
    input ).

fof(cls_sin__minus_0_0,plain,
    ! [V_x] :
      ( c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_sin__minus_0]) ).

cnf(cls_complex__mod__minus__le__complex__mod_0,axiom,
    c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),
    input ).

fof(cls_complex__mod__minus__le__complex__mod_0_0,plain,
    ! [V_x] :
      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_complex__mod__minus__le__complex__mod_0]) ).

cnf(cls_real__sqrt__minus_0,axiom,
    c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal),
    input ).

fof(cls_real__sqrt__minus_0_0,plain,
    ! [V_x] :
      ( c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_real__sqrt__minus_0]) ).

cnf(cls_cos__minus_0,axiom,
    c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_Transcendental_Ocos(V_x),
    input ).

fof(cls_cos__minus_0_0,plain,
    ! [V_x] :
      ( c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_Transcendental_Ocos(V_x)
      | $false ),
    inference(orientation,[status(thm)],[cls_cos__minus_0]) ).

cnf(cls_g_I2_J_0,axiom,
    c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_g____(V_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(V_n),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    input ).

fof(cls_g_I2_J_0_0,plain,
    ! [V_n] :
      ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_g____(V_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(V_n),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_g_I2_J_0]) ).

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

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

cnf(cls_real__sqrt__one_0,axiom,
    c_NthRoot_Osqrt(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    input ).

fof(cls_real__sqrt__one_0_0,plain,
    ( c_NthRoot_Osqrt(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[cls_real__sqrt__one_0]) ).

cnf(cls_real__of__nat__ge__zero_0,axiom,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(V_n,tc_nat),tc_RealDef_Oreal),
    input ).

fof(cls_real__of__nat__ge__zero_0_0,plain,
    ! [V_n] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(V_n,tc_nat),tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_real__of__nat__ge__zero_0]) ).

cnf(cls_real__add__eq__0__iff_1,axiom,
    c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    input ).

fof(cls_real__add__eq__0__iff_1_0,plain,
    ! [V_x] :
      ( c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_real__add__eq__0__iff_1]) ).

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

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

cnf(cls_abs__add__one__not__less__self_0,axiom,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),V_x,tc_RealDef_Oreal),
    input ).

fof(cls_abs__add__one__not__less__self_0_0,plain,
    ! [V_x] :
      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_abs__add__one__not__less__self_0]) ).

cnf(cls_abs__minus__add__cancel_0,axiom,
    c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    input ).

fof(cls_abs__minus__add__cancel_0_0,plain,
    ! [V_x,V_y] :
      ( c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_abs__minus__add__cancel_0]) ).

cnf(cls_arctan_2,axiom,
    c_Transcendental_Otan(c_Transcendental_Oarctan(V_y)) = V_y,
    input ).

fof(cls_arctan_2_0,plain,
    ! [V_y] :
      ( c_Transcendental_Otan(c_Transcendental_Oarctan(V_y)) = V_y
      | $false ),
    inference(orientation,[status(thm)],[cls_arctan_2]) ).

cnf(cls_not__real__of__nat__less__zero_0,axiom,
    ~ c_HOL_Oord__class_Oless(c_RealDef_Oreal(V_n,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    input ).

fof(cls_not__real__of__nat__less__zero_0_0,plain,
    ! [V_n] :
      ( ~ c_HOL_Oord__class_Oless(c_RealDef_Oreal(V_n,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_not__real__of__nat__less__zero_0]) ).

cnf(cls_complex__cnj__cnj_0,axiom,
    c_Complex_Ocnj(c_Complex_Ocnj(V_z)) = V_z,
    input ).

fof(cls_complex__cnj__cnj_0_0,plain,
    ! [V_z] :
      ( c_Complex_Ocnj(c_Complex_Ocnj(V_z)) = V_z
      | $false ),
    inference(orientation,[status(thm)],[cls_complex__cnj__cnj_0]) ).

cnf(cls_tan__zero_0,axiom,
    c_Transcendental_Otan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    input ).

fof(cls_tan__zero_0_0,plain,
    ( c_Transcendental_Otan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[cls_tan__zero_0]) ).

cnf(cls_th_1,axiom,
    c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xth__1(V_n,v_p,v_r,v_s____),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(V_n),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    input ).

fof(cls_th_1_0,plain,
    ! [V_n] :
      ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xth__1(V_n,v_p,v_r,v_s____),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(V_n),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_th_1]) ).

cnf(cls_abs__add__one__gt__zero_0,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    input ).

fof(cls_abs__add__one__gt__zero_0_0,plain,
    ! [V_x] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_abs__add__one__gt__zero_0]) ).

cnf(cls_tan__def_0,axiom,
    c_Transcendental_Otan(V_x) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(V_x),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal),
    input ).

fof(cls_tan__def_0_0,plain,
    ! [V_x] :
      ( c_Transcendental_Otan(V_x) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(V_x),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_tan__def_0]) ).

cnf(cls_real__zero__not__eq__one_0,axiom,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    input ).

fof(cls_real__zero__not__eq__one_0_0,plain,
    ( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[cls_real__zero__not__eq__one_0]) ).

cnf(cls_cos__zero_0,axiom,
    c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    input ).

fof(cls_cos__zero_0_0,plain,
    ( c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[cls_cos__zero_0]) ).

cnf(cls_abs__sin__le__one_0,axiom,
    c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Osin(V_x),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    input ).

fof(cls_abs__sin__le__one_0_0,plain,
    ! [V_x] :
      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Osin(V_x),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_abs__sin__le__one_0]) ).

cnf(cls_poly__bound__exists_0,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(V_p,V_r),tc_RealDef_Oreal),
    input ).

fof(cls_poly__bound__exists_0_0,plain,
    ! [V_p,V_r] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(V_p,V_r),tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_poly__bound__exists_0]) ).

cnf(cls_abs__sum__triangle__ineq_0,axiom,
    c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_l,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(V_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_l,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_y,c_HOL_Ouminus__class_Ouminus(V_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    input ).

fof(cls_abs__sum__triangle__ineq_0_0,plain,
    ! [V_l,V_m,V_x,V_y] :
      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_l,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(V_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_l,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_y,c_HOL_Ouminus__class_Ouminus(V_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_abs__sum__triangle__ineq_0]) ).

cnf(cls_arctan__zero__zero_0,axiom,
    c_Transcendental_Oarctan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    input ).

fof(cls_arctan__zero__zero_0_0,plain,
    ( c_Transcendental_Oarctan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[cls_arctan__zero__zero_0]) ).

cnf(cls_cos__arctan__not__zero_0,axiom,
    c_Transcendental_Ocos(c_Transcendental_Oarctan(V_x)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    input ).

fof(cls_cos__arctan__not__zero_0_0,plain,
    ! [V_x] :
      ( c_Transcendental_Ocos(c_Transcendental_Oarctan(V_x)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_cos__arctan__not__zero_0]) ).

cnf(cls_real__sqrt__zero_0,axiom,
    c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    input ).

fof(cls_real__sqrt__zero_0_0,plain,
    ( c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[cls_real__sqrt__zero_0]) ).

cnf(cls_real__of__nat__Suc_0,axiom,
    c_RealDef_Oreal(c_Suc(V_n),tc_nat) = c_HOL_Oplus__class_Oplus(c_RealDef_Oreal(V_n,tc_nat),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    input ).

fof(cls_real__of__nat__Suc_0_0,plain,
    ! [V_n] :
      ( c_RealDef_Oreal(c_Suc(V_n),tc_nat) = c_HOL_Oplus__class_Oplus(c_RealDef_Oreal(V_n,tc_nat),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_real__of__nat__Suc_0]) ).

cnf(cls_real__sqrt__divide_0,axiom,
    c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal),
    input ).

fof(cls_real__sqrt__divide_0_0,plain,
    ! [V_x,V_y] :
      ( c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_real__sqrt__divide_0]) ).

cnf(cls_sin__zero_0,axiom,
    c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    input ).

fof(cls_sin__zero_0_0,plain,
    ( c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[cls_sin__zero_0]) ).

cnf(cls_abs__cos__le__one_0,axiom,
    c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(V_x),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    input ).

fof(cls_abs__cos__le__one_0_0,plain,
    ! [V_x] :
      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(V_x),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_abs__cos__le__one_0]) ).

cnf(cls_sin__le__one_0,axiom,
    c_lessequals(c_Transcendental_Osin(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    input ).

fof(cls_sin__le__one_0_0,plain,
    ! [V_x] :
      ( c_lessequals(c_Transcendental_Osin(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_sin__le__one_0]) ).

cnf(cls_cos__le__one_0,axiom,
    c_lessequals(c_Transcendental_Ocos(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    input ).

fof(cls_cos__le__one_0_0,plain,
    ! [V_x] :
      ( c_lessequals(c_Transcendental_Ocos(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_cos__le__one_0]) ).

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

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

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

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

cnf(cls_g_I1_J_0,axiom,
    c_lessequals(c_RealVector_Onorm__class_Onorm(v_g____(V_n),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
    input ).

fof(cls_g_I1_J_0_0,plain,
    ! [V_n] :
      ( c_lessequals(c_RealVector_Onorm__class_Onorm(v_g____(V_n),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_g_I1_J_0]) ).

cnf(cls_abs__real__of__nat__cancel_0,axiom,
    c_HOL_Oabs__class_Oabs(c_RealDef_Oreal(V_x,tc_nat),tc_RealDef_Oreal) = c_RealDef_Oreal(V_x,tc_nat),
    input ).

fof(cls_abs__real__of__nat__cancel_0_0,plain,
    ! [V_x] :
      ( c_HOL_Oabs__class_Oabs(c_RealDef_Oreal(V_x,tc_nat),tc_RealDef_Oreal) = c_RealDef_Oreal(V_x,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_abs__real__of__nat__cancel_0]) ).

cnf(cls_rp_0,axiom,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
    input ).

fof(cls_rp_0_0,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[cls_rp_0]) ).

cnf(cls_real__of__nat__Suc__gt__zero_0,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(V_n),tc_nat),tc_RealDef_Oreal),
    input ).

fof(cls_real__of__nat__Suc__gt__zero_0_0,plain,
    ! [V_n] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(V_n),tc_nat),tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_real__of__nat__Suc__gt__zero_0]) ).

fof(def_lhs_atom1,axiom,
    ! [V_n] :
      ( lhs_atom1(V_n)
    <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(V_n),tc_nat),tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_0,plain,
    ! [V_n] :
      ( lhs_atom1(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_real__of__nat__Suc__gt__zero_0_0,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ( lhs_atom2
  <=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_1,plain,
    ( lhs_atom2
    | $false ),
    inference(fold_definition,[status(thm)],[cls_rp_0_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ! [V_x] :
      ( lhs_atom3(V_x)
    <=> c_HOL_Oabs__class_Oabs(c_RealDef_Oreal(V_x,tc_nat),tc_RealDef_Oreal) = c_RealDef_Oreal(V_x,tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_2,plain,
    ! [V_x] :
      ( lhs_atom3(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_abs__real__of__nat__cancel_0_0,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ! [V_n] :
      ( lhs_atom4(V_n)
    <=> c_lessequals(c_RealVector_Onorm__class_Onorm(v_g____(V_n),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_3,plain,
    ! [V_n] :
      ( lhs_atom4(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_g_I1_J_0_0,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ! [V_n] :
      ( lhs_atom5(V_n)
    <=> c_Suc(V_n) != V_n ),
    inference(definition,[],[]) ).

fof(to_be_clausified_4,plain,
    ! [V_n] :
      ( lhs_atom5(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Suc__n__not__n_0_0,def_lhs_atom5]) ).

fof(def_lhs_atom6,axiom,
    ! [V_n] :
      ( lhs_atom6(V_n)
    <=> V_n != c_Suc(V_n) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_5,plain,
    ! [V_n] :
      ( lhs_atom6(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_n__not__Suc__n_0_0,def_lhs_atom6]) ).

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

fof(to_be_clausified_6,plain,
    ! [V_x] :
      ( lhs_atom7(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_cos__le__one_0_0,def_lhs_atom7]) ).

fof(def_lhs_atom8,axiom,
    ! [V_x] :
      ( lhs_atom8(V_x)
    <=> c_lessequals(c_Transcendental_Osin(V_x),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_7,plain,
    ! [V_x] :
      ( lhs_atom8(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_sin__le__one_0_0,def_lhs_atom8]) ).

fof(def_lhs_atom9,axiom,
    ! [V_x] :
      ( lhs_atom9(V_x)
    <=> c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(V_x),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_8,plain,
    ! [V_x] :
      ( lhs_atom9(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_abs__cos__le__one_0_0,def_lhs_atom9]) ).

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

fof(to_be_clausified_9,plain,
    ( lhs_atom10
    | $false ),
    inference(fold_definition,[status(thm)],[cls_sin__zero_0_0,def_lhs_atom10]) ).

fof(def_lhs_atom11,axiom,
    ! [V_y,V_x] :
      ( lhs_atom11(V_y,V_x)
    <=> c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_10,plain,
    ! [V_x,V_y] :
      ( lhs_atom11(V_y,V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_real__sqrt__divide_0_0,def_lhs_atom11]) ).

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

fof(to_be_clausified_11,plain,
    ! [V_n] :
      ( lhs_atom12(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_real__of__nat__Suc_0_0,def_lhs_atom12]) ).

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

fof(to_be_clausified_12,plain,
    ( lhs_atom13
    | $false ),
    inference(fold_definition,[status(thm)],[cls_real__sqrt__zero_0_0,def_lhs_atom13]) ).

fof(def_lhs_atom14,axiom,
    ! [V_x] :
      ( lhs_atom14(V_x)
    <=> c_Transcendental_Ocos(c_Transcendental_Oarctan(V_x)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_13,plain,
    ! [V_x] :
      ( lhs_atom14(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_cos__arctan__not__zero_0_0,def_lhs_atom14]) ).

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

fof(to_be_clausified_14,plain,
    ( lhs_atom15
    | $false ),
    inference(fold_definition,[status(thm)],[cls_arctan__zero__zero_0_0,def_lhs_atom15]) ).

fof(def_lhs_atom16,axiom,
    ! [V_y,V_x,V_m,V_l] :
      ( lhs_atom16(V_y,V_x,V_m,V_l)
    <=> c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_l,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(V_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_l,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_y,c_HOL_Ouminus__class_Ouminus(V_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_15,plain,
    ! [V_l,V_m,V_x,V_y] :
      ( lhs_atom16(V_y,V_x,V_m,V_l)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_abs__sum__triangle__ineq_0_0,def_lhs_atom16]) ).

fof(def_lhs_atom17,axiom,
    ! [V_r,V_p] :
      ( lhs_atom17(V_r,V_p)
    <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(V_p,V_r),tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_16,plain,
    ! [V_p,V_r] :
      ( lhs_atom17(V_r,V_p)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_poly__bound__exists_0_0,def_lhs_atom17]) ).

fof(def_lhs_atom18,axiom,
    ! [V_x] :
      ( lhs_atom18(V_x)
    <=> c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Osin(V_x),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_17,plain,
    ! [V_x] :
      ( lhs_atom18(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_abs__sin__le__one_0_0,def_lhs_atom18]) ).

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

fof(to_be_clausified_18,plain,
    ( lhs_atom19
    | $false ),
    inference(fold_definition,[status(thm)],[cls_cos__zero_0_0,def_lhs_atom19]) ).

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

fof(to_be_clausified_19,plain,
    ( lhs_atom20
    | $false ),
    inference(fold_definition,[status(thm)],[cls_real__zero__not__eq__one_0_0,def_lhs_atom20]) ).

fof(def_lhs_atom21,axiom,
    ! [V_x] :
      ( lhs_atom21(V_x)
    <=> c_Transcendental_Otan(V_x) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(V_x),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_20,plain,
    ! [V_x] :
      ( lhs_atom21(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_tan__def_0_0,def_lhs_atom21]) ).

fof(def_lhs_atom22,axiom,
    ! [V_x] :
      ( lhs_atom22(V_x)
    <=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_21,plain,
    ! [V_x] :
      ( lhs_atom22(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_abs__add__one__gt__zero_0_0,def_lhs_atom22]) ).

fof(def_lhs_atom23,axiom,
    ! [V_n] :
      ( lhs_atom23(V_n)
    <=> c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xth__1(V_n,v_p,v_r,v_s____),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(V_n),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_22,plain,
    ! [V_n] :
      ( lhs_atom23(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_th_1_0,def_lhs_atom23]) ).

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

fof(to_be_clausified_23,plain,
    ( lhs_atom24
    | $false ),
    inference(fold_definition,[status(thm)],[cls_tan__zero_0_0,def_lhs_atom24]) ).

fof(def_lhs_atom25,axiom,
    ! [V_z] :
      ( lhs_atom25(V_z)
    <=> c_Complex_Ocnj(c_Complex_Ocnj(V_z)) = V_z ),
    inference(definition,[],[]) ).

fof(to_be_clausified_24,plain,
    ! [V_z] :
      ( lhs_atom25(V_z)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_complex__cnj__cnj_0_0,def_lhs_atom25]) ).

fof(def_lhs_atom26,axiom,
    ! [V_n] :
      ( lhs_atom26(V_n)
    <=> ~ c_HOL_Oord__class_Oless(c_RealDef_Oreal(V_n,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_25,plain,
    ! [V_n] :
      ( lhs_atom26(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_not__real__of__nat__less__zero_0_0,def_lhs_atom26]) ).

fof(def_lhs_atom27,axiom,
    ! [V_y] :
      ( lhs_atom27(V_y)
    <=> c_Transcendental_Otan(c_Transcendental_Oarctan(V_y)) = V_y ),
    inference(definition,[],[]) ).

fof(to_be_clausified_26,plain,
    ! [V_y] :
      ( lhs_atom27(V_y)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_arctan_2_0,def_lhs_atom27]) ).

fof(def_lhs_atom28,axiom,
    ! [V_y,V_x] :
      ( lhs_atom28(V_y,V_x)
    <=> c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_27,plain,
    ! [V_x,V_y] :
      ( lhs_atom28(V_y,V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_abs__minus__add__cancel_0_0,def_lhs_atom28]) ).

fof(def_lhs_atom29,axiom,
    ! [V_x] :
      ( lhs_atom29(V_x)
    <=> ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_28,plain,
    ! [V_x] :
      ( lhs_atom29(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_abs__add__one__not__less__self_0_0,def_lhs_atom29]) ).

fof(def_lhs_atom30,axiom,
    ! [V_x] :
      ( lhs_atom30(V_x)
    <=> ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_29,plain,
    ! [V_x] :
      ( lhs_atom30(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_real__less__def_1_0,def_lhs_atom30]) ).

fof(def_lhs_atom31,axiom,
    ! [V_x] :
      ( lhs_atom31(V_x)
    <=> c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_30,plain,
    ! [V_x] :
      ( lhs_atom31(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_real__add__eq__0__iff_1_0,def_lhs_atom31]) ).

fof(def_lhs_atom32,axiom,
    ! [V_n] :
      ( lhs_atom32(V_n)
    <=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(V_n,tc_nat),tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_31,plain,
    ! [V_n] :
      ( lhs_atom32(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_real__of__nat__ge__zero_0_0,def_lhs_atom32]) ).

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

fof(to_be_clausified_32,plain,
    ( lhs_atom33
    | $false ),
    inference(fold_definition,[status(thm)],[cls_real__sqrt__one_0_0,def_lhs_atom33]) ).

fof(def_lhs_atom34,axiom,
    ! [V_w] :
      ( lhs_atom34(V_w)
    <=> c_lessequals(V_w,V_w,tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_33,plain,
    ! [V_w] :
      ( lhs_atom34(V_w)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_real__le__refl_0_0,def_lhs_atom34]) ).

fof(def_lhs_atom35,axiom,
    ! [V_n] :
      ( lhs_atom35(V_n)
    <=> c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_g____(V_n),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(V_n),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_34,plain,
    ! [V_n] :
      ( lhs_atom35(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_g_I2_J_0_0,def_lhs_atom35]) ).

fof(def_lhs_atom36,axiom,
    ! [V_x] :
      ( lhs_atom36(V_x)
    <=> c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_Transcendental_Ocos(V_x) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_35,plain,
    ! [V_x] :
      ( lhs_atom36(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_cos__minus_0_0,def_lhs_atom36]) ).

fof(def_lhs_atom37,axiom,
    ! [V_x] :
      ( lhs_atom37(V_x)
    <=> c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_36,plain,
    ! [V_x] :
      ( lhs_atom37(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_real__sqrt__minus_0_0,def_lhs_atom37]) ).

fof(def_lhs_atom38,axiom,
    ! [V_x] :
      ( lhs_atom38(V_x)
    <=> c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_37,plain,
    ! [V_x] :
      ( lhs_atom38(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_complex__mod__minus__le__complex__mod_0_0,def_lhs_atom38]) ).

fof(def_lhs_atom39,axiom,
    ! [V_x] :
      ( lhs_atom39(V_x)
    <=> c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_38,plain,
    ! [V_x] :
      ( lhs_atom39(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_sin__minus_0_0,def_lhs_atom39]) ).

fof(def_lhs_atom40,axiom,
    ! [V_x] :
      ( lhs_atom40(V_x)
    <=> c_Transcendental_Otan(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Otan(V_x),tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_39,plain,
    ! [V_x] :
      ( lhs_atom40(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_tan__minus_0_0,def_lhs_atom40]) ).

fof(def_lhs_atom41,axiom,
    ( lhs_atom41
  <=> c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xmth1__2(v_p,v_r),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_40,plain,
    ( lhs_atom41
    | $false ),
    inference(fold_definition,[status(thm)],[cls_mth1_0_0,def_lhs_atom41]) ).

fof(def_lhs_atom42,axiom,
    ! [V_n] :
      ( lhs_atom42(V_n)
    <=> c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xth__1(V_n,v_p,v_r,v_s____),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_41,plain,
    ! [V_n] :
      ( lhs_atom42(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_th_0_0,def_lhs_atom42]) ).

fof(def_lhs_atom43,axiom,
    ( lhs_atom43
  <=> c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xmth1__2(v_p,v_r),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(v_sko__local__Xmth1__1(v_p,v_r),tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_42,plain,
    ( lhs_atom43
    | $false ),
    inference(fold_definition,[status(thm)],[cls_mth1_1_0,def_lhs_atom43]) ).

fof(def_lhs_atom44,axiom,
    ! [V_z] :
      ( lhs_atom44(V_z)
    <=> c_RealVector_Onorm__class_Onorm(c_Complex_Ocnj(V_z),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_43,plain,
    ! [V_z] :
      ( lhs_atom44(V_z)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_complex__mod__cnj_0_0,def_lhs_atom44]) ).

fof(def_lhs_atom45,axiom,
    ! [V_x] :
      ( lhs_atom45(V_x)
    <=> c_Transcendental_Oarctan(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oarctan(V_x),tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_44,plain,
    ! [V_x] :
      ( lhs_atom45(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_arctan__minus_0_0,def_lhs_atom45]) ).

fof(def_lhs_atom46,axiom,
    ( lhs_atom46
  <=> c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_45,plain,
    ( lhs_atom46
    | $false ),
    inference(fold_definition,[status(thm)],[cls_CHAINED_0_0,def_lhs_atom46]) ).

fof(def_lhs_atom47,axiom,
    ( lhs_atom47
  <=> class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_46,plain,
    ( lhs_atom47
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add_0,def_lhs_atom47]) ).

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

fof(to_be_clausified_47,plain,
    ( lhs_atom48
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocancel__comm__monoid__add_0,def_lhs_atom48]) ).

fof(def_lhs_atom49,axiom,
    ( lhs_atom49
  <=> class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_48,plain,
    ( lhs_atom49
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Ocancel__comm__monoid__add_0,def_lhs_atom49]) ).

fof(def_lhs_atom50,axiom,
    ( lhs_atom50
  <=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_49,plain,
    ( lhs_atom50
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add_0,def_lhs_atom50]) ).

fof(def_lhs_atom51,axiom,
    ( lhs_atom51
  <=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_50,plain,
    ( lhs_atom51
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le_0,def_lhs_atom51]) ).

fof(def_lhs_atom52,axiom,
    ( lhs_atom52
  <=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_51,plain,
    ( lhs_atom52
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict_0,def_lhs_atom52]) ).

fof(def_lhs_atom53,axiom,
    ( lhs_atom53
  <=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_52,plain,
    ( lhs_atom53
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Opordered__cancel__semiring_0,def_lhs_atom53]) ).

fof(def_lhs_atom54,axiom,
    ( lhs_atom54
  <=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_53,plain,
    ( lhs_atom54
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Oordered__semiring__strict_0,def_lhs_atom54]) ).

fof(def_lhs_atom55,axiom,
    ( lhs_atom55
  <=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_54,plain,
    ( lhs_atom55
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add_0,def_lhs_atom55]) ).

fof(def_lhs_atom56,axiom,
    ( lhs_atom56
  <=> class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_55,plain,
    ( lhs_atom56
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Opordered__comm__monoid__add_0,def_lhs_atom56]) ).

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

fof(to_be_clausified_56,plain,
    ( lhs_atom57
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add_0,def_lhs_atom57]) ).

fof(def_lhs_atom58,axiom,
    ( lhs_atom58
  <=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_57,plain,
    ( lhs_atom58
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Ocancel__semigroup__add_0,def_lhs_atom58]) ).

fof(def_lhs_atom59,axiom,
    ( lhs_atom59
  <=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_58,plain,
    ( lhs_atom59
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Opordered__semiring_0,def_lhs_atom59]) ).

fof(def_lhs_atom60,axiom,
    ( lhs_atom60
  <=> class_Ring__and__Field_Oordered__semiring(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_59,plain,
    ( lhs_atom60
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Oordered__semiring_0,def_lhs_atom60]) ).

fof(def_lhs_atom61,axiom,
    ( lhs_atom61
  <=> class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_60,plain,
    ( lhs_atom61
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Ono__zero__divisors_0,def_lhs_atom61]) ).

fof(def_lhs_atom62,axiom,
    ( lhs_atom62
  <=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_61,plain,
    ( lhs_atom62
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Oordered__semidom_0,def_lhs_atom62]) ).

fof(def_lhs_atom63,axiom,
    ( lhs_atom63
  <=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_62,plain,
    ( lhs_atom63
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Ocomm__semiring__1_0,def_lhs_atom63]) ).

fof(def_lhs_atom64,axiom,
    ( lhs_atom64
  <=> class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_63,plain,
    ( lhs_atom64
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Ocomm__semiring__0_0,def_lhs_atom64]) ).

fof(def_lhs_atom65,axiom,
    ( lhs_atom65
  <=> class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_64,plain,
    ( lhs_atom65
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Oab__semigroup__mult_0,def_lhs_atom65]) ).

fof(def_lhs_atom66,axiom,
    ( lhs_atom66
  <=> class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_65,plain,
    ( lhs_atom66
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Ocomm__monoid__mult_0,def_lhs_atom66]) ).

fof(def_lhs_atom67,axiom,
    ( lhs_atom67
  <=> class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_66,plain,
    ( lhs_atom67
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Oab__semigroup__add_0,def_lhs_atom67]) ).

fof(def_lhs_atom68,axiom,
    ( lhs_atom68
  <=> class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_67,plain,
    ( lhs_atom68
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Ocomm__semiring_0,def_lhs_atom68]) ).

fof(def_lhs_atom69,axiom,
    ( lhs_atom69
  <=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_68,plain,
    ( lhs_atom69
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Ocomm__monoid__add_0,def_lhs_atom69]) ).

fof(def_lhs_atom70,axiom,
    ( lhs_atom70
  <=> class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_69,plain,
    ( lhs_atom70
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Ozero__neq__one_0,def_lhs_atom70]) ).

fof(def_lhs_atom71,axiom,
    ( lhs_atom71
  <=> class_Ring__and__Field_Omult__mono1(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_70,plain,
    ( lhs_atom71
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Omult__mono1_0,def_lhs_atom71]) ).

fof(def_lhs_atom72,axiom,
    ( lhs_atom72
  <=> class_Ring__and__Field_Omult__zero(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_71,plain,
    ( lhs_atom72
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Omult__zero_0,def_lhs_atom72]) ).

fof(def_lhs_atom73,axiom,
    ( lhs_atom73
  <=> class_Ring__and__Field_Omult__mono(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_72,plain,
    ( lhs_atom73
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Omult__mono_0,def_lhs_atom73]) ).

fof(def_lhs_atom74,axiom,
    ( lhs_atom74
  <=> class_OrderedGroup_Omonoid__mult(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_73,plain,
    ( lhs_atom74
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Omonoid__mult_0,def_lhs_atom74]) ).

fof(def_lhs_atom75,axiom,
    ( lhs_atom75
  <=> class_Ring__and__Field_Osemiring(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_74,plain,
    ( lhs_atom75
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Osemiring_0,def_lhs_atom75]) ).

fof(def_lhs_atom76,axiom,
    ( lhs_atom76
  <=> class_OrderedGroup_Omonoid__add(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_75,plain,
    ( lhs_atom76
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Omonoid__add_0,def_lhs_atom76]) ).

fof(def_lhs_atom77,axiom,
    ( lhs_atom77
  <=> class_Divides_Osemiring__div(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_76,plain,
    ( lhs_atom77
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Divides_Osemiring__div_0,def_lhs_atom77]) ).

fof(def_lhs_atom78,axiom,
    ( lhs_atom78
  <=> class_Ring__and__Field_Odvd(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_77,plain,
    ( lhs_atom78
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Odvd_0,def_lhs_atom78]) ).

fof(def_lhs_atom79,axiom,
    ( lhs_atom79
  <=> class_Orderings_Opreorder(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_78,plain,
    ( lhs_atom79
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Opreorder_0,def_lhs_atom79]) ).

fof(def_lhs_atom80,axiom,
    ( lhs_atom80
  <=> class_Orderings_Olinorder(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_79,plain,
    ( lhs_atom80
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Olinorder_0,def_lhs_atom80]) ).

fof(def_lhs_atom81,axiom,
    ( lhs_atom81
  <=> class_Orderings_Oorder(tc_nat) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_80,plain,
    ( lhs_atom81
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Oorder_0,def_lhs_atom81]) ).

fof(def_lhs_atom82,axiom,
    ( lhs_atom82
  <=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_81,plain,
    ( lhs_atom82
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add_0,def_lhs_atom82]) ).

fof(def_lhs_atom83,axiom,
    ( lhs_atom83
  <=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_82,plain,
    ( lhs_atom83
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le_0,def_lhs_atom83]) ).

fof(def_lhs_atom84,axiom,
    ( lhs_atom84
  <=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_83,plain,
    ( lhs_atom84
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict_0,def_lhs_atom84]) ).

fof(def_lhs_atom85,axiom,
    ( lhs_atom85
  <=> class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_84,plain,
    ( lhs_atom85
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring_0,def_lhs_atom85]) ).

fof(def_lhs_atom86,axiom,
    ( lhs_atom86
  <=> class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_85,plain,
    ( lhs_atom86
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict_0,def_lhs_atom86]) ).

fof(def_lhs_atom87,axiom,
    ( lhs_atom87
  <=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_86,plain,
    ( lhs_atom87
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add_0,def_lhs_atom87]) ).

fof(def_lhs_atom88,axiom,
    ( lhs_atom88
  <=> class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_87,plain,
    ( lhs_atom88
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs_0,def_lhs_atom88]) ).

fof(def_lhs_atom89,axiom,
    ( lhs_atom89
  <=> class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_88,plain,
    ( lhs_atom89
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs_0,def_lhs_atom89]) ).

fof(def_lhs_atom90,axiom,
    ( lhs_atom90
  <=> class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_89,plain,
    ( lhs_atom90
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add_0,def_lhs_atom90]) ).

fof(def_lhs_atom91,axiom,
    ( lhs_atom91
  <=> class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_90,plain,
    ( lhs_atom91
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors_0,def_lhs_atom91]) ).

fof(def_lhs_atom92,axiom,
    ( lhs_atom92
  <=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_91,plain,
    ( lhs_atom92
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add_0,def_lhs_atom92]) ).

fof(def_lhs_atom93,axiom,
    ( lhs_atom93
  <=> class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_92,plain,
    ( lhs_atom93
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict_0,def_lhs_atom93]) ).

fof(def_lhs_atom94,axiom,
    ( lhs_atom94
  <=> class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_93,plain,
    ( lhs_atom94
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra_0,def_lhs_atom94]) ).

fof(def_lhs_atom95,axiom,
    ( lhs_atom95
  <=> class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_94,plain,
    ( lhs_atom95
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add_0,def_lhs_atom95]) ).

fof(def_lhs_atom96,axiom,
    ( lhs_atom96
  <=> class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_95,plain,
    ( lhs_atom96
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add_0,def_lhs_atom96]) ).

fof(def_lhs_atom97,axiom,
    ( lhs_atom97
  <=> class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_96,plain,
    ( lhs_atom97
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add_0,def_lhs_atom97]) ).

fof(def_lhs_atom98,axiom,
    ( lhs_atom98
  <=> class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_97,plain,
    ( lhs_atom98
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add_0,def_lhs_atom98]) ).

fof(def_lhs_atom99,axiom,
    ( lhs_atom99
  <=> class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_98,plain,
    ( lhs_atom99
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring_0,def_lhs_atom99]) ).

fof(def_lhs_atom100,axiom,
    ( lhs_atom100
  <=> class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_99,plain,
    ( lhs_atom100
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs_0,def_lhs_atom100]) ).

fof(def_lhs_atom101,axiom,
    ( lhs_atom101
  <=> class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_100,plain,
    ( lhs_atom101
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1_0,def_lhs_atom101]) ).

fof(def_lhs_atom102,axiom,
    ( lhs_atom102
  <=> class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_101,plain,
    ( lhs_atom102
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring_0,def_lhs_atom102]) ).

fof(def_lhs_atom103,axiom,
    ( lhs_atom103
  <=> class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_102,plain,
    ( lhs_atom103
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors_0,def_lhs_atom103]) ).

fof(def_lhs_atom104,axiom,
    ( lhs_atom104
  <=> class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_103,plain,
    ( lhs_atom104
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero_0,def_lhs_atom104]) ).

fof(def_lhs_atom105,axiom,
    ( lhs_atom105
  <=> class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_104,plain,
    ( lhs_atom105
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom_0,def_lhs_atom105]) ).

fof(def_lhs_atom106,axiom,
    ( lhs_atom106
  <=> class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_105,plain,
    ( lhs_atom106
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1_0,def_lhs_atom106]) ).

fof(def_lhs_atom107,axiom,
    ( lhs_atom107
  <=> class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_106,plain,
    ( lhs_atom107
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__0_0,def_lhs_atom107]) ).

fof(def_lhs_atom108,axiom,
    ( lhs_atom108
  <=> class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_107,plain,
    ( lhs_atom108
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra_0,def_lhs_atom108]) ).

fof(def_lhs_atom109,axiom,
    ( lhs_atom109
  <=> class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_108,plain,
    ( lhs_atom109
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult_0,def_lhs_atom109]) ).

fof(def_lhs_atom110,axiom,
    ( lhs_atom110
  <=> class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_109,plain,
    ( lhs_atom110
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector_0,def_lhs_atom110]) ).

fof(def_lhs_atom111,axiom,
    ( lhs_atom111
  <=> class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_110,plain,
    ( lhs_atom111
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult_0,def_lhs_atom111]) ).

fof(def_lhs_atom112,axiom,
    ( lhs_atom112
  <=> class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_111,plain,
    ( lhs_atom112
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add_0,def_lhs_atom112]) ).

fof(def_lhs_atom113,axiom,
    ( lhs_atom113
  <=> class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_112,plain,
    ( lhs_atom113
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring_0,def_lhs_atom113]) ).

fof(def_lhs_atom114,axiom,
    ( lhs_atom114
  <=> class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_113,plain,
    ( lhs_atom114
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field_0,def_lhs_atom114]) ).

fof(def_lhs_atom115,axiom,
    ( lhs_atom115
  <=> class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_114,plain,
    ( lhs_atom115
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring_0,def_lhs_atom115]) ).

fof(def_lhs_atom116,axiom,
    ( lhs_atom116
  <=> class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_115,plain,
    ( lhs_atom116
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Odivision__ring_0,def_lhs_atom116]) ).

fof(def_lhs_atom117,axiom,
    ( lhs_atom117
  <=> class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_116,plain,
    ( lhs_atom117
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring_0,def_lhs_atom117]) ).

fof(def_lhs_atom118,axiom,
    ( lhs_atom118
  <=> class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_117,plain,
    ( lhs_atom118
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__field_0,def_lhs_atom118]) ).

fof(def_lhs_atom119,axiom,
    ( lhs_atom119
  <=> class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_118,plain,
    ( lhs_atom119
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add_0,def_lhs_atom119]) ).

fof(def_lhs_atom120,axiom,
    ( lhs_atom120
  <=> class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_119,plain,
    ( lhs_atom120
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one_0,def_lhs_atom120]) ).

fof(def_lhs_atom121,axiom,
    ( lhs_atom121
  <=> class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_120,plain,
    ( lhs_atom121
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom_0,def_lhs_atom121]) ).

fof(def_lhs_atom122,axiom,
    ( lhs_atom122
  <=> class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_121,plain,
    ( lhs_atom122
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring__1_0,def_lhs_atom122]) ).

fof(def_lhs_atom123,axiom,
    ( lhs_atom123
  <=> class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_122,plain,
    ( lhs_atom123
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1_0,def_lhs_atom123]) ).

fof(def_lhs_atom124,axiom,
    ( lhs_atom124
  <=> class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_123,plain,
    ( lhs_atom124
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__algebra__1_0,def_lhs_atom124]) ).

fof(def_lhs_atom125,axiom,
    ( lhs_atom125
  <=> class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_124,plain,
    ( lhs_atom125
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add_0,def_lhs_atom125]) ).

fof(def_lhs_atom126,axiom,
    ( lhs_atom126
  <=> class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_125,plain,
    ( lhs_atom126
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero_0,def_lhs_atom126]) ).

fof(def_lhs_atom127,axiom,
    ( lhs_atom127
  <=> class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_126,plain,
    ( lhs_atom127
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono_0,def_lhs_atom127]) ).

fof(def_lhs_atom128,axiom,
    ( lhs_atom128
  <=> class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_127,plain,
    ( lhs_atom128
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring_0,def_lhs_atom128]) ).

fof(def_lhs_atom129,axiom,
    ( lhs_atom129
  <=> class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_128,plain,
    ( lhs_atom129
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult_0,def_lhs_atom129]) ).

fof(def_lhs_atom130,axiom,
    ( lhs_atom130
  <=> class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_129,plain,
    ( lhs_atom130
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Osemiring_0,def_lhs_atom130]) ).

fof(def_lhs_atom131,axiom,
    ( lhs_atom131
  <=> class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_130,plain,
    ( lhs_atom131
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__algebra_0,def_lhs_atom131]) ).

fof(def_lhs_atom132,axiom,
    ( lhs_atom132
  <=> class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_131,plain,
    ( lhs_atom132
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add_0,def_lhs_atom132]) ).

fof(def_lhs_atom133,axiom,
    ( lhs_atom133
  <=> class_RealVector_Oreal__vector(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_132,plain,
    ( lhs_atom133
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__vector_0,def_lhs_atom133]) ).

fof(def_lhs_atom134,axiom,
    ( lhs_atom134
  <=> class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_133,plain,
    ( lhs_atom134
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add_0,def_lhs_atom134]) ).

fof(def_lhs_atom135,axiom,
    ( lhs_atom135
  <=> class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_134,plain,
    ( lhs_atom135
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Osgn__if_0,def_lhs_atom135]) ).

fof(def_lhs_atom136,axiom,
    ( lhs_atom136
  <=> class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_135,plain,
    ( lhs_atom136
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if_0,def_lhs_atom136]) ).

fof(def_lhs_atom137,axiom,
    ( lhs_atom137
  <=> class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_136,plain,
    ( lhs_atom137
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__field_0,def_lhs_atom137]) ).

fof(def_lhs_atom138,axiom,
    ( lhs_atom138
  <=> class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_137,plain,
    ( lhs_atom138
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ofield_0,def_lhs_atom138]) ).

fof(def_lhs_atom139,axiom,
    ( lhs_atom139
  <=> class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_138,plain,
    ( lhs_atom139
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oring_0,def_lhs_atom139]) ).

fof(def_lhs_atom140,axiom,
    ( lhs_atom140
  <=> class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_139,plain,
    ( lhs_atom140
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oidom_0,def_lhs_atom140]) ).

fof(def_lhs_atom141,axiom,
    ( lhs_atom141
  <=> class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_140,plain,
    ( lhs_atom141
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Odvd_0,def_lhs_atom141]) ).

fof(def_lhs_atom142,axiom,
    ( lhs_atom142
  <=> class_Orderings_Opreorder(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_141,plain,
    ( lhs_atom142
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Orderings_Opreorder_0,def_lhs_atom142]) ).

fof(def_lhs_atom143,axiom,
    ( lhs_atom143
  <=> class_Orderings_Olinorder(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_142,plain,
    ( lhs_atom143
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Orderings_Olinorder_0,def_lhs_atom143]) ).

fof(def_lhs_atom144,axiom,
    ( lhs_atom144
  <=> class_Orderings_Oorder(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_143,plain,
    ( lhs_atom144
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Orderings_Oorder_0,def_lhs_atom144]) ).

fof(def_lhs_atom145,axiom,
    ( lhs_atom145
  <=> class_Int_Onumber__ring(tc_RealDef_Oreal) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_144,plain,
    ( lhs_atom145
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Int_Onumber__ring_0,def_lhs_atom145]) ).

fof(def_lhs_atom146,axiom,
    ( lhs_atom146
  <=> class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_145,plain,
    ( lhs_atom146
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors_0,def_lhs_atom146]) ).

fof(def_lhs_atom147,axiom,
    ( lhs_atom147
  <=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_146,plain,
    ( lhs_atom147
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add_0,def_lhs_atom147]) ).

fof(def_lhs_atom148,axiom,
    ( lhs_atom148
  <=> class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_147,plain,
    ( lhs_atom148
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra_0,def_lhs_atom148]) ).

fof(def_lhs_atom149,axiom,
    ( lhs_atom149
  <=> class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_148,plain,
    ( lhs_atom149
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add_0,def_lhs_atom149]) ).

fof(def_lhs_atom150,axiom,
    ( lhs_atom150
  <=> class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_149,plain,
    ( lhs_atom150
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1_0,def_lhs_atom150]) ).

fof(def_lhs_atom151,axiom,
    ( lhs_atom151
  <=> class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_150,plain,
    ( lhs_atom151
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors_0,def_lhs_atom151]) ).

fof(def_lhs_atom152,axiom,
    ( lhs_atom152
  <=> class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_151,plain,
    ( lhs_atom152
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero_0,def_lhs_atom152]) ).

fof(def_lhs_atom153,axiom,
    ( lhs_atom153
  <=> class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_152,plain,
    ( lhs_atom153
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1_0,def_lhs_atom153]) ).

fof(def_lhs_atom154,axiom,
    ( lhs_atom154
  <=> class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_153,plain,
    ( lhs_atom154
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0_0,def_lhs_atom154]) ).

fof(def_lhs_atom155,axiom,
    ( lhs_atom155
  <=> class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_154,plain,
    ( lhs_atom155
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra_0,def_lhs_atom155]) ).

fof(def_lhs_atom156,axiom,
    ( lhs_atom156
  <=> class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_155,plain,
    ( lhs_atom156
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult_0,def_lhs_atom156]) ).

fof(def_lhs_atom157,axiom,
    ( lhs_atom157
  <=> class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_156,plain,
    ( lhs_atom157
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector_0,def_lhs_atom157]) ).

fof(def_lhs_atom158,axiom,
    ( lhs_atom158
  <=> class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_157,plain,
    ( lhs_atom158
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult_0,def_lhs_atom158]) ).

fof(def_lhs_atom159,axiom,
    ( lhs_atom159
  <=> class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_158,plain,
    ( lhs_atom159
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add_0,def_lhs_atom159]) ).

fof(def_lhs_atom160,axiom,
    ( lhs_atom160
  <=> class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_159,plain,
    ( lhs_atom160
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring_0,def_lhs_atom160]) ).

fof(def_lhs_atom161,axiom,
    ( lhs_atom161
  <=> class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_160,plain,
    ( lhs_atom161
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring_0,def_lhs_atom161]) ).

fof(def_lhs_atom162,axiom,
    ( lhs_atom162
  <=> class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_161,plain,
    ( lhs_atom162
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field_0,def_lhs_atom162]) ).

fof(def_lhs_atom163,axiom,
    ( lhs_atom163
  <=> class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_162,plain,
    ( lhs_atom163
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add_0,def_lhs_atom163]) ).

fof(def_lhs_atom164,axiom,
    ( lhs_atom164
  <=> class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_163,plain,
    ( lhs_atom164
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one_0,def_lhs_atom164]) ).

fof(def_lhs_atom165,axiom,
    ( lhs_atom165
  <=> class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_164,plain,
    ( lhs_atom165
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1_0,def_lhs_atom165]) ).

fof(def_lhs_atom166,axiom,
    ( lhs_atom166
  <=> class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_165,plain,
    ( lhs_atom166
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1_0,def_lhs_atom166]) ).

fof(def_lhs_atom167,axiom,
    ( lhs_atom167
  <=> class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_166,plain,
    ( lhs_atom167
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add_0,def_lhs_atom167]) ).

fof(def_lhs_atom168,axiom,
    ( lhs_atom168
  <=> class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_167,plain,
    ( lhs_atom168
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero_0,def_lhs_atom168]) ).

fof(def_lhs_atom169,axiom,
    ( lhs_atom169
  <=> class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_168,plain,
    ( lhs_atom169
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring_0,def_lhs_atom169]) ).

fof(def_lhs_atom170,axiom,
    ( lhs_atom170
  <=> class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_169,plain,
    ( lhs_atom170
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult_0,def_lhs_atom170]) ).

fof(def_lhs_atom171,axiom,
    ( lhs_atom171
  <=> class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_170,plain,
    ( lhs_atom171
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring_0,def_lhs_atom171]) ).

fof(def_lhs_atom172,axiom,
    ( lhs_atom172
  <=> class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_171,plain,
    ( lhs_atom172
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__algebra_0,def_lhs_atom172]) ).

fof(def_lhs_atom173,axiom,
    ( lhs_atom173
  <=> class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_172,plain,
    ( lhs_atom173
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add_0,def_lhs_atom173]) ).

fof(def_lhs_atom174,axiom,
    ( lhs_atom174
  <=> class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_173,plain,
    ( lhs_atom174
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__vector_0,def_lhs_atom174]) ).

fof(def_lhs_atom175,axiom,
    ( lhs_atom175
  <=> class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_174,plain,
    ( lhs_atom175
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add_0,def_lhs_atom175]) ).

fof(def_lhs_atom176,axiom,
    ( lhs_atom176
  <=> class_RealVector_Oreal__field(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_175,plain,
    ( lhs_atom176
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__field_0,def_lhs_atom176]) ).

fof(def_lhs_atom177,axiom,
    ( lhs_atom177
  <=> class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_176,plain,
    ( lhs_atom177
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ofield_0,def_lhs_atom177]) ).

fof(def_lhs_atom178,axiom,
    ( lhs_atom178
  <=> class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_177,plain,
    ( lhs_atom178
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oring_0,def_lhs_atom178]) ).

fof(def_lhs_atom179,axiom,
    ( lhs_atom179
  <=> class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_178,plain,
    ( lhs_atom179
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oidom_0,def_lhs_atom179]) ).

fof(def_lhs_atom180,axiom,
    ( lhs_atom180
  <=> class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_179,plain,
    ( lhs_atom180
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Odvd_0,def_lhs_atom180]) ).

fof(def_lhs_atom181,axiom,
    ( lhs_atom181
  <=> class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_180,plain,
    ( lhs_atom181
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Int_Onumber__ring_0,def_lhs_atom181]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X3,X2,X4,X5] :
      ( lhs_atom16(X3,X2,X4,X5)
      | ~ $true ),
    file('<stdin>',to_be_clausified_15) ).

fof(c_0_1,axiom,
    ! [X3,X2] :
      ( lhs_atom28(X3,X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_27) ).

fof(c_0_2,axiom,
    ! [X6,X7] :
      ( lhs_atom17(X6,X7)
      | ~ $true ),
    file('<stdin>',to_be_clausified_16) ).

fof(c_0_3,axiom,
    ! [X3,X2] :
      ( lhs_atom11(X3,X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_10) ).

fof(c_0_4,axiom,
    ! [X2] :
      ( lhs_atom45(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_44) ).

fof(c_0_5,axiom,
    ! [X8] :
      ( lhs_atom44(X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_43) ).

fof(c_0_6,axiom,
    ! [X1] :
      ( lhs_atom42(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_41) ).

fof(c_0_7,axiom,
    ! [X2] :
      ( lhs_atom40(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_39) ).

fof(c_0_8,axiom,
    ! [X2] :
      ( lhs_atom39(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_38) ).

fof(c_0_9,axiom,
    ! [X2] :
      ( lhs_atom38(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_37) ).

fof(c_0_10,axiom,
    ! [X2] :
      ( lhs_atom37(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_36) ).

fof(c_0_11,axiom,
    ! [X2] :
      ( lhs_atom36(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_35) ).

fof(c_0_12,axiom,
    ! [X1] :
      ( lhs_atom35(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_34) ).

fof(c_0_13,axiom,
    ! [X9] :
      ( lhs_atom34(X9)
      | ~ $true ),
    file('<stdin>',to_be_clausified_33) ).

fof(c_0_14,axiom,
    ! [X1] :
      ( lhs_atom32(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_31) ).

fof(c_0_15,axiom,
    ! [X2] :
      ( lhs_atom31(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_30) ).

fof(c_0_16,axiom,
    ! [X2] :
      ( lhs_atom30(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_29) ).

fof(c_0_17,axiom,
    ! [X2] :
      ( lhs_atom29(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_28) ).

fof(c_0_18,axiom,
    ! [X3] :
      ( lhs_atom27(X3)
      | ~ $true ),
    file('<stdin>',to_be_clausified_26) ).

fof(c_0_19,axiom,
    ! [X1] :
      ( lhs_atom26(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_25) ).

fof(c_0_20,axiom,
    ! [X8] :
      ( lhs_atom25(X8)
      | ~ $true ),
    file('<stdin>',to_be_clausified_24) ).

fof(c_0_21,axiom,
    ! [X1] :
      ( lhs_atom23(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_22) ).

fof(c_0_22,axiom,
    ! [X2] :
      ( lhs_atom22(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_21) ).

fof(c_0_23,axiom,
    ! [X2] :
      ( lhs_atom21(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_20) ).

fof(c_0_24,axiom,
    ! [X2] :
      ( lhs_atom18(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_17) ).

fof(c_0_25,axiom,
    ! [X2] :
      ( lhs_atom14(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_13) ).

fof(c_0_26,axiom,
    ! [X1] :
      ( lhs_atom12(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_11) ).

fof(c_0_27,axiom,
    ! [X2] :
      ( lhs_atom9(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_8) ).

fof(c_0_28,axiom,
    ! [X2] :
      ( lhs_atom8(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_7) ).

fof(c_0_29,axiom,
    ! [X2] :
      ( lhs_atom7(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_6) ).

fof(c_0_30,axiom,
    ! [X1] :
      ( lhs_atom6(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_31,axiom,
    ! [X1] :
      ( lhs_atom5(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_32,axiom,
    ! [X1] :
      ( lhs_atom4(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_33,axiom,
    ! [X2] :
      ( lhs_atom3(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_34,axiom,
    ! [X1] :
      ( lhs_atom1(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_35,axiom,
    ( lhs_atom181
    | ~ $true ),
    file('<stdin>',to_be_clausified_180) ).

fof(c_0_36,axiom,
    ( lhs_atom180
    | ~ $true ),
    file('<stdin>',to_be_clausified_179) ).

fof(c_0_37,axiom,
    ( lhs_atom179
    | ~ $true ),
    file('<stdin>',to_be_clausified_178) ).

fof(c_0_38,axiom,
    ( lhs_atom178
    | ~ $true ),
    file('<stdin>',to_be_clausified_177) ).

fof(c_0_39,axiom,
    ( lhs_atom177
    | ~ $true ),
    file('<stdin>',to_be_clausified_176) ).

fof(c_0_40,axiom,
    ( lhs_atom176
    | ~ $true ),
    file('<stdin>',to_be_clausified_175) ).

fof(c_0_41,axiom,
    ( lhs_atom175
    | ~ $true ),
    file('<stdin>',to_be_clausified_174) ).

fof(c_0_42,axiom,
    ( lhs_atom174
    | ~ $true ),
    file('<stdin>',to_be_clausified_173) ).

fof(c_0_43,axiom,
    ( lhs_atom173
    | ~ $true ),
    file('<stdin>',to_be_clausified_172) ).

fof(c_0_44,axiom,
    ( lhs_atom172
    | ~ $true ),
    file('<stdin>',to_be_clausified_171) ).

fof(c_0_45,axiom,
    ( lhs_atom171
    | ~ $true ),
    file('<stdin>',to_be_clausified_170) ).

fof(c_0_46,axiom,
    ( lhs_atom170
    | ~ $true ),
    file('<stdin>',to_be_clausified_169) ).

fof(c_0_47,axiom,
    ( lhs_atom169
    | ~ $true ),
    file('<stdin>',to_be_clausified_168) ).

fof(c_0_48,axiom,
    ( lhs_atom168
    | ~ $true ),
    file('<stdin>',to_be_clausified_167) ).

fof(c_0_49,axiom,
    ( lhs_atom167
    | ~ $true ),
    file('<stdin>',to_be_clausified_166) ).

fof(c_0_50,axiom,
    ( lhs_atom166
    | ~ $true ),
    file('<stdin>',to_be_clausified_165) ).

fof(c_0_51,axiom,
    ( lhs_atom165
    | ~ $true ),
    file('<stdin>',to_be_clausified_164) ).

fof(c_0_52,axiom,
    ( lhs_atom164
    | ~ $true ),
    file('<stdin>',to_be_clausified_163) ).

fof(c_0_53,axiom,
    ( lhs_atom163
    | ~ $true ),
    file('<stdin>',to_be_clausified_162) ).

fof(c_0_54,axiom,
    ( lhs_atom162
    | ~ $true ),
    file('<stdin>',to_be_clausified_161) ).

fof(c_0_55,axiom,
    ( lhs_atom161
    | ~ $true ),
    file('<stdin>',to_be_clausified_160) ).

fof(c_0_56,axiom,
    ( lhs_atom160
    | ~ $true ),
    file('<stdin>',to_be_clausified_159) ).

fof(c_0_57,axiom,
    ( lhs_atom159
    | ~ $true ),
    file('<stdin>',to_be_clausified_158) ).

fof(c_0_58,axiom,
    ( lhs_atom158
    | ~ $true ),
    file('<stdin>',to_be_clausified_157) ).

fof(c_0_59,axiom,
    ( lhs_atom157
    | ~ $true ),
    file('<stdin>',to_be_clausified_156) ).

fof(c_0_60,axiom,
    ( lhs_atom156
    | ~ $true ),
    file('<stdin>',to_be_clausified_155) ).

fof(c_0_61,axiom,
    ( lhs_atom155
    | ~ $true ),
    file('<stdin>',to_be_clausified_154) ).

fof(c_0_62,axiom,
    ( lhs_atom154
    | ~ $true ),
    file('<stdin>',to_be_clausified_153) ).

fof(c_0_63,axiom,
    ( lhs_atom153
    | ~ $true ),
    file('<stdin>',to_be_clausified_152) ).

fof(c_0_64,axiom,
    ( lhs_atom152
    | ~ $true ),
    file('<stdin>',to_be_clausified_151) ).

fof(c_0_65,axiom,
    ( lhs_atom151
    | ~ $true ),
    file('<stdin>',to_be_clausified_150) ).

fof(c_0_66,axiom,
    ( lhs_atom150
    | ~ $true ),
    file('<stdin>',to_be_clausified_149) ).

fof(c_0_67,axiom,
    ( lhs_atom149
    | ~ $true ),
    file('<stdin>',to_be_clausified_148) ).

fof(c_0_68,axiom,
    ( lhs_atom148
    | ~ $true ),
    file('<stdin>',to_be_clausified_147) ).

fof(c_0_69,axiom,
    ( lhs_atom147
    | ~ $true ),
    file('<stdin>',to_be_clausified_146) ).

fof(c_0_70,axiom,
    ( lhs_atom146
    | ~ $true ),
    file('<stdin>',to_be_clausified_145) ).

fof(c_0_71,axiom,
    ( lhs_atom145
    | ~ $true ),
    file('<stdin>',to_be_clausified_144) ).

fof(c_0_72,axiom,
    ( lhs_atom144
    | ~ $true ),
    file('<stdin>',to_be_clausified_143) ).

fof(c_0_73,axiom,
    ( lhs_atom143
    | ~ $true ),
    file('<stdin>',to_be_clausified_142) ).

fof(c_0_74,axiom,
    ( lhs_atom142
    | ~ $true ),
    file('<stdin>',to_be_clausified_141) ).

fof(c_0_75,axiom,
    ( lhs_atom141
    | ~ $true ),
    file('<stdin>',to_be_clausified_140) ).

fof(c_0_76,axiom,
    ( lhs_atom140
    | ~ $true ),
    file('<stdin>',to_be_clausified_139) ).

fof(c_0_77,axiom,
    ( lhs_atom139
    | ~ $true ),
    file('<stdin>',to_be_clausified_138) ).

fof(c_0_78,axiom,
    ( lhs_atom138
    | ~ $true ),
    file('<stdin>',to_be_clausified_137) ).

fof(c_0_79,axiom,
    ( lhs_atom137
    | ~ $true ),
    file('<stdin>',to_be_clausified_136) ).

fof(c_0_80,axiom,
    ( lhs_atom136
    | ~ $true ),
    file('<stdin>',to_be_clausified_135) ).

fof(c_0_81,axiom,
    ( lhs_atom135
    | ~ $true ),
    file('<stdin>',to_be_clausified_134) ).

fof(c_0_82,axiom,
    ( lhs_atom134
    | ~ $true ),
    file('<stdin>',to_be_clausified_133) ).

fof(c_0_83,axiom,
    ( lhs_atom133
    | ~ $true ),
    file('<stdin>',to_be_clausified_132) ).

fof(c_0_84,axiom,
    ( lhs_atom132
    | ~ $true ),
    file('<stdin>',to_be_clausified_131) ).

fof(c_0_85,axiom,
    ( lhs_atom131
    | ~ $true ),
    file('<stdin>',to_be_clausified_130) ).

fof(c_0_86,axiom,
    ( lhs_atom130
    | ~ $true ),
    file('<stdin>',to_be_clausified_129) ).

fof(c_0_87,axiom,
    ( lhs_atom129
    | ~ $true ),
    file('<stdin>',to_be_clausified_128) ).

fof(c_0_88,axiom,
    ( lhs_atom128
    | ~ $true ),
    file('<stdin>',to_be_clausified_127) ).

fof(c_0_89,axiom,
    ( lhs_atom127
    | ~ $true ),
    file('<stdin>',to_be_clausified_126) ).

fof(c_0_90,axiom,
    ( lhs_atom126
    | ~ $true ),
    file('<stdin>',to_be_clausified_125) ).

fof(c_0_91,axiom,
    ( lhs_atom125
    | ~ $true ),
    file('<stdin>',to_be_clausified_124) ).

fof(c_0_92,axiom,
    ( lhs_atom124
    | ~ $true ),
    file('<stdin>',to_be_clausified_123) ).

fof(c_0_93,axiom,
    ( lhs_atom123
    | ~ $true ),
    file('<stdin>',to_be_clausified_122) ).

fof(c_0_94,axiom,
    ( lhs_atom122
    | ~ $true ),
    file('<stdin>',to_be_clausified_121) ).

fof(c_0_95,axiom,
    ( lhs_atom121
    | ~ $true ),
    file('<stdin>',to_be_clausified_120) ).

fof(c_0_96,axiom,
    ( lhs_atom120
    | ~ $true ),
    file('<stdin>',to_be_clausified_119) ).

fof(c_0_97,axiom,
    ( lhs_atom119
    | ~ $true ),
    file('<stdin>',to_be_clausified_118) ).

fof(c_0_98,axiom,
    ( lhs_atom118
    | ~ $true ),
    file('<stdin>',to_be_clausified_117) ).

fof(c_0_99,axiom,
    ( lhs_atom117
    | ~ $true ),
    file('<stdin>',to_be_clausified_116) ).

fof(c_0_100,axiom,
    ( lhs_atom116
    | ~ $true ),
    file('<stdin>',to_be_clausified_115) ).

fof(c_0_101,axiom,
    ( lhs_atom115
    | ~ $true ),
    file('<stdin>',to_be_clausified_114) ).

fof(c_0_102,axiom,
    ( lhs_atom114
    | ~ $true ),
    file('<stdin>',to_be_clausified_113) ).

fof(c_0_103,axiom,
    ( lhs_atom113
    | ~ $true ),
    file('<stdin>',to_be_clausified_112) ).

fof(c_0_104,axiom,
    ( lhs_atom112
    | ~ $true ),
    file('<stdin>',to_be_clausified_111) ).

fof(c_0_105,axiom,
    ( lhs_atom111
    | ~ $true ),
    file('<stdin>',to_be_clausified_110) ).

fof(c_0_106,axiom,
    ( lhs_atom110
    | ~ $true ),
    file('<stdin>',to_be_clausified_109) ).

fof(c_0_107,axiom,
    ( lhs_atom109
    | ~ $true ),
    file('<stdin>',to_be_clausified_108) ).

fof(c_0_108,axiom,
    ( lhs_atom108
    | ~ $true ),
    file('<stdin>',to_be_clausified_107) ).

fof(c_0_109,axiom,
    ( lhs_atom107
    | ~ $true ),
    file('<stdin>',to_be_clausified_106) ).

fof(c_0_110,axiom,
    ( lhs_atom106
    | ~ $true ),
    file('<stdin>',to_be_clausified_105) ).

fof(c_0_111,axiom,
    ( lhs_atom105
    | ~ $true ),
    file('<stdin>',to_be_clausified_104) ).

fof(c_0_112,axiom,
    ( lhs_atom104
    | ~ $true ),
    file('<stdin>',to_be_clausified_103) ).

fof(c_0_113,axiom,
    ( lhs_atom103
    | ~ $true ),
    file('<stdin>',to_be_clausified_102) ).

fof(c_0_114,axiom,
    ( lhs_atom102
    | ~ $true ),
    file('<stdin>',to_be_clausified_101) ).

fof(c_0_115,axiom,
    ( lhs_atom101
    | ~ $true ),
    file('<stdin>',to_be_clausified_100) ).

fof(c_0_116,axiom,
    ( lhs_atom100
    | ~ $true ),
    file('<stdin>',to_be_clausified_99) ).

fof(c_0_117,axiom,
    ( lhs_atom99
    | ~ $true ),
    file('<stdin>',to_be_clausified_98) ).

fof(c_0_118,axiom,
    ( lhs_atom98
    | ~ $true ),
    file('<stdin>',to_be_clausified_97) ).

fof(c_0_119,axiom,
    ( lhs_atom97
    | ~ $true ),
    file('<stdin>',to_be_clausified_96) ).

fof(c_0_120,axiom,
    ( lhs_atom96
    | ~ $true ),
    file('<stdin>',to_be_clausified_95) ).

fof(c_0_121,axiom,
    ( lhs_atom95
    | ~ $true ),
    file('<stdin>',to_be_clausified_94) ).

fof(c_0_122,axiom,
    ( lhs_atom94
    | ~ $true ),
    file('<stdin>',to_be_clausified_93) ).

fof(c_0_123,axiom,
    ( lhs_atom93
    | ~ $true ),
    file('<stdin>',to_be_clausified_92) ).

fof(c_0_124,axiom,
    ( lhs_atom92
    | ~ $true ),
    file('<stdin>',to_be_clausified_91) ).

fof(c_0_125,axiom,
    ( lhs_atom91
    | ~ $true ),
    file('<stdin>',to_be_clausified_90) ).

fof(c_0_126,axiom,
    ( lhs_atom90
    | ~ $true ),
    file('<stdin>',to_be_clausified_89) ).

fof(c_0_127,axiom,
    ( lhs_atom89
    | ~ $true ),
    file('<stdin>',to_be_clausified_88) ).

fof(c_0_128,axiom,
    ( lhs_atom88
    | ~ $true ),
    file('<stdin>',to_be_clausified_87) ).

fof(c_0_129,axiom,
    ( lhs_atom87
    | ~ $true ),
    file('<stdin>',to_be_clausified_86) ).

fof(c_0_130,axiom,
    ( lhs_atom86
    | ~ $true ),
    file('<stdin>',to_be_clausified_85) ).

fof(c_0_131,axiom,
    ( lhs_atom85
    | ~ $true ),
    file('<stdin>',to_be_clausified_84) ).

fof(c_0_132,axiom,
    ( lhs_atom84
    | ~ $true ),
    file('<stdin>',to_be_clausified_83) ).

fof(c_0_133,axiom,
    ( lhs_atom83
    | ~ $true ),
    file('<stdin>',to_be_clausified_82) ).

fof(c_0_134,axiom,
    ( lhs_atom82
    | ~ $true ),
    file('<stdin>',to_be_clausified_81) ).

fof(c_0_135,axiom,
    ( lhs_atom81
    | ~ $true ),
    file('<stdin>',to_be_clausified_80) ).

fof(c_0_136,axiom,
    ( lhs_atom80
    | ~ $true ),
    file('<stdin>',to_be_clausified_79) ).

fof(c_0_137,axiom,
    ( lhs_atom79
    | ~ $true ),
    file('<stdin>',to_be_clausified_78) ).

fof(c_0_138,axiom,
    ( lhs_atom78
    | ~ $true ),
    file('<stdin>',to_be_clausified_77) ).

fof(c_0_139,axiom,
    ( lhs_atom77
    | ~ $true ),
    file('<stdin>',to_be_clausified_76) ).

fof(c_0_140,axiom,
    ( lhs_atom76
    | ~ $true ),
    file('<stdin>',to_be_clausified_75) ).

fof(c_0_141,axiom,
    ( lhs_atom75
    | ~ $true ),
    file('<stdin>',to_be_clausified_74) ).

fof(c_0_142,axiom,
    ( lhs_atom74
    | ~ $true ),
    file('<stdin>',to_be_clausified_73) ).

fof(c_0_143,axiom,
    ( lhs_atom73
    | ~ $true ),
    file('<stdin>',to_be_clausified_72) ).

fof(c_0_144,axiom,
    ( lhs_atom72
    | ~ $true ),
    file('<stdin>',to_be_clausified_71) ).

fof(c_0_145,axiom,
    ( lhs_atom71
    | ~ $true ),
    file('<stdin>',to_be_clausified_70) ).

fof(c_0_146,axiom,
    ( lhs_atom70
    | ~ $true ),
    file('<stdin>',to_be_clausified_69) ).

fof(c_0_147,axiom,
    ( lhs_atom69
    | ~ $true ),
    file('<stdin>',to_be_clausified_68) ).

fof(c_0_148,axiom,
    ( lhs_atom68
    | ~ $true ),
    file('<stdin>',to_be_clausified_67) ).

fof(c_0_149,axiom,
    ( lhs_atom67
    | ~ $true ),
    file('<stdin>',to_be_clausified_66) ).

fof(c_0_150,axiom,
    ( lhs_atom66
    | ~ $true ),
    file('<stdin>',to_be_clausified_65) ).

fof(c_0_151,axiom,
    ( lhs_atom65
    | ~ $true ),
    file('<stdin>',to_be_clausified_64) ).

fof(c_0_152,axiom,
    ( lhs_atom64
    | ~ $true ),
    file('<stdin>',to_be_clausified_63) ).

fof(c_0_153,axiom,
    ( lhs_atom63
    | ~ $true ),
    file('<stdin>',to_be_clausified_62) ).

fof(c_0_154,axiom,
    ( lhs_atom62
    | ~ $true ),
    file('<stdin>',to_be_clausified_61) ).

fof(c_0_155,axiom,
    ( lhs_atom61
    | ~ $true ),
    file('<stdin>',to_be_clausified_60) ).

fof(c_0_156,axiom,
    ( lhs_atom60
    | ~ $true ),
    file('<stdin>',to_be_clausified_59) ).

fof(c_0_157,axiom,
    ( lhs_atom59
    | ~ $true ),
    file('<stdin>',to_be_clausified_58) ).

fof(c_0_158,axiom,
    ( lhs_atom58
    | ~ $true ),
    file('<stdin>',to_be_clausified_57) ).

fof(c_0_159,axiom,
    ( lhs_atom57
    | ~ $true ),
    file('<stdin>',to_be_clausified_56) ).

fof(c_0_160,axiom,
    ( lhs_atom56
    | ~ $true ),
    file('<stdin>',to_be_clausified_55) ).

fof(c_0_161,axiom,
    ( lhs_atom55
    | ~ $true ),
    file('<stdin>',to_be_clausified_54) ).

fof(c_0_162,axiom,
    ( lhs_atom54
    | ~ $true ),
    file('<stdin>',to_be_clausified_53) ).

fof(c_0_163,axiom,
    ( lhs_atom53
    | ~ $true ),
    file('<stdin>',to_be_clausified_52) ).

fof(c_0_164,axiom,
    ( lhs_atom52
    | ~ $true ),
    file('<stdin>',to_be_clausified_51) ).

fof(c_0_165,axiom,
    ( lhs_atom51
    | ~ $true ),
    file('<stdin>',to_be_clausified_50) ).

fof(c_0_166,axiom,
    ( lhs_atom50
    | ~ $true ),
    file('<stdin>',to_be_clausified_49) ).

fof(c_0_167,axiom,
    ( lhs_atom49
    | ~ $true ),
    file('<stdin>',to_be_clausified_48) ).

fof(c_0_168,axiom,
    ( lhs_atom48
    | ~ $true ),
    file('<stdin>',to_be_clausified_47) ).

fof(c_0_169,axiom,
    ( lhs_atom47
    | ~ $true ),
    file('<stdin>',to_be_clausified_46) ).

fof(c_0_170,axiom,
    ( lhs_atom46
    | ~ $true ),
    file('<stdin>',to_be_clausified_45) ).

fof(c_0_171,axiom,
    ( lhs_atom43
    | ~ $true ),
    file('<stdin>',to_be_clausified_42) ).

fof(c_0_172,axiom,
    ( lhs_atom41
    | ~ $true ),
    file('<stdin>',to_be_clausified_40) ).

fof(c_0_173,axiom,
    ( lhs_atom33
    | ~ $true ),
    file('<stdin>',to_be_clausified_32) ).

fof(c_0_174,axiom,
    ( lhs_atom24
    | ~ $true ),
    file('<stdin>',to_be_clausified_23) ).

fof(c_0_175,axiom,
    ( lhs_atom20
    | ~ $true ),
    file('<stdin>',to_be_clausified_19) ).

fof(c_0_176,axiom,
    ( lhs_atom19
    | ~ $true ),
    file('<stdin>',to_be_clausified_18) ).

fof(c_0_177,axiom,
    ( lhs_atom15
    | ~ $true ),
    file('<stdin>',to_be_clausified_14) ).

fof(c_0_178,axiom,
    ( lhs_atom13
    | ~ $true ),
    file('<stdin>',to_be_clausified_12) ).

fof(c_0_179,axiom,
    ( lhs_atom10
    | ~ $true ),
    file('<stdin>',to_be_clausified_9) ).

fof(c_0_180,axiom,
    ( lhs_atom2
    | ~ $true ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_181,plain,
    ! [X3,X2,X4,X5] : lhs_atom16(X3,X2,X4,X5),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_182,plain,
    ! [X3,X2] : lhs_atom28(X3,X2),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_183,plain,
    ! [X6,X7] : lhs_atom17(X6,X7),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_184,plain,
    ! [X3,X2] : lhs_atom11(X3,X2),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_185,plain,
    ! [X2] : lhs_atom45(X2),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_186,plain,
    ! [X8] : lhs_atom44(X8),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_187,plain,
    ! [X1] : lhs_atom42(X1),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_188,plain,
    ! [X2] : lhs_atom40(X2),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_189,plain,
    ! [X2] : lhs_atom39(X2),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_190,plain,
    ! [X2] : lhs_atom38(X2),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_191,plain,
    ! [X2] : lhs_atom37(X2),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_192,plain,
    ! [X2] : lhs_atom36(X2),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_193,plain,
    ! [X1] : lhs_atom35(X1),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_194,plain,
    ! [X9] : lhs_atom34(X9),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_195,plain,
    ! [X1] : lhs_atom32(X1),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_196,plain,
    ! [X2] : lhs_atom31(X2),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_197,plain,
    ! [X2] : lhs_atom30(X2),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_198,plain,
    ! [X2] : lhs_atom29(X2),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_199,plain,
    ! [X3] : lhs_atom27(X3),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_200,plain,
    ! [X1] : lhs_atom26(X1),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_201,plain,
    ! [X8] : lhs_atom25(X8),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_202,plain,
    ! [X1] : lhs_atom23(X1),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_203,plain,
    ! [X2] : lhs_atom22(X2),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_204,plain,
    ! [X2] : lhs_atom21(X2),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_205,plain,
    ! [X2] : lhs_atom18(X2),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_206,plain,
    ! [X2] : lhs_atom14(X2),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_207,plain,
    ! [X1] : lhs_atom12(X1),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_208,plain,
    ! [X2] : lhs_atom9(X2),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_209,plain,
    ! [X2] : lhs_atom8(X2),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_210,plain,
    ! [X2] : lhs_atom7(X2),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_211,plain,
    ! [X1] : lhs_atom6(X1),
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_212,plain,
    ! [X1] : lhs_atom5(X1),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_213,plain,
    ! [X1] : lhs_atom4(X1),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_214,plain,
    ! [X2] : lhs_atom3(X2),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_215,plain,
    ! [X1] : lhs_atom1(X1),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_216,plain,
    lhs_atom181,
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_217,plain,
    lhs_atom180,
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_218,plain,
    lhs_atom179,
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_219,plain,
    lhs_atom178,
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_220,plain,
    lhs_atom177,
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_221,plain,
    lhs_atom176,
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_222,plain,
    lhs_atom175,
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_223,plain,
    lhs_atom174,
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_224,plain,
    lhs_atom173,
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_225,plain,
    lhs_atom172,
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_226,plain,
    lhs_atom171,
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_227,plain,
    lhs_atom170,
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_228,plain,
    lhs_atom169,
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_229,plain,
    lhs_atom168,
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_230,plain,
    lhs_atom167,
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_231,plain,
    lhs_atom166,
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_232,plain,
    lhs_atom165,
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_233,plain,
    lhs_atom164,
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_234,plain,
    lhs_atom163,
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_235,plain,
    lhs_atom162,
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_236,plain,
    lhs_atom161,
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_237,plain,
    lhs_atom160,
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_238,plain,
    lhs_atom159,
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_239,plain,
    lhs_atom158,
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_240,plain,
    lhs_atom157,
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_241,plain,
    lhs_atom156,
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_242,plain,
    lhs_atom155,
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_243,plain,
    lhs_atom154,
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_244,plain,
    lhs_atom153,
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_245,plain,
    lhs_atom152,
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_246,plain,
    lhs_atom151,
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_247,plain,
    lhs_atom150,
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_248,plain,
    lhs_atom149,
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_249,plain,
    lhs_atom148,
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_250,plain,
    lhs_atom147,
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_251,plain,
    lhs_atom146,
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_252,plain,
    lhs_atom145,
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_253,plain,
    lhs_atom144,
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_254,plain,
    lhs_atom143,
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_255,plain,
    lhs_atom142,
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_256,plain,
    lhs_atom141,
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_257,plain,
    lhs_atom140,
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_258,plain,
    lhs_atom139,
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_259,plain,
    lhs_atom138,
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_260,plain,
    lhs_atom137,
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_261,plain,
    lhs_atom136,
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_262,plain,
    lhs_atom135,
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_263,plain,
    lhs_atom134,
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_264,plain,
    lhs_atom133,
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_265,plain,
    lhs_atom132,
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_266,plain,
    lhs_atom131,
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_267,plain,
    lhs_atom130,
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_268,plain,
    lhs_atom129,
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_269,plain,
    lhs_atom128,
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_270,plain,
    lhs_atom127,
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_271,plain,
    lhs_atom126,
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_272,plain,
    lhs_atom125,
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_273,plain,
    lhs_atom124,
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_274,plain,
    lhs_atom123,
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_275,plain,
    lhs_atom122,
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_276,plain,
    lhs_atom121,
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_277,plain,
    lhs_atom120,
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_278,plain,
    lhs_atom119,
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_279,plain,
    lhs_atom118,
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_280,plain,
    lhs_atom117,
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_281,plain,
    lhs_atom116,
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_282,plain,
    lhs_atom115,
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_283,plain,
    lhs_atom114,
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_284,plain,
    lhs_atom113,
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_285,plain,
    lhs_atom112,
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_286,plain,
    lhs_atom111,
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_287,plain,
    lhs_atom110,
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_288,plain,
    lhs_atom109,
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_289,plain,
    lhs_atom108,
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_290,plain,
    lhs_atom107,
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_291,plain,
    lhs_atom106,
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_292,plain,
    lhs_atom105,
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_293,plain,
    lhs_atom104,
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_294,plain,
    lhs_atom103,
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_295,plain,
    lhs_atom102,
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_296,plain,
    lhs_atom101,
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_297,plain,
    lhs_atom100,
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_298,plain,
    lhs_atom99,
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_299,plain,
    lhs_atom98,
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_300,plain,
    lhs_atom97,
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_301,plain,
    lhs_atom96,
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_302,plain,
    lhs_atom95,
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_303,plain,
    lhs_atom94,
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_304,plain,
    lhs_atom93,
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_305,plain,
    lhs_atom92,
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_306,plain,
    lhs_atom91,
    inference(fof_simplification,[status(thm)],[c_0_125]) ).

fof(c_0_307,plain,
    lhs_atom90,
    inference(fof_simplification,[status(thm)],[c_0_126]) ).

fof(c_0_308,plain,
    lhs_atom89,
    inference(fof_simplification,[status(thm)],[c_0_127]) ).

fof(c_0_309,plain,
    lhs_atom88,
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_310,plain,
    lhs_atom87,
    inference(fof_simplification,[status(thm)],[c_0_129]) ).

fof(c_0_311,plain,
    lhs_atom86,
    inference(fof_simplification,[status(thm)],[c_0_130]) ).

fof(c_0_312,plain,
    lhs_atom85,
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_313,plain,
    lhs_atom84,
    inference(fof_simplification,[status(thm)],[c_0_132]) ).

fof(c_0_314,plain,
    lhs_atom83,
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_315,plain,
    lhs_atom82,
    inference(fof_simplification,[status(thm)],[c_0_134]) ).

fof(c_0_316,plain,
    lhs_atom81,
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_317,plain,
    lhs_atom80,
    inference(fof_simplification,[status(thm)],[c_0_136]) ).

fof(c_0_318,plain,
    lhs_atom79,
    inference(fof_simplification,[status(thm)],[c_0_137]) ).

fof(c_0_319,plain,
    lhs_atom78,
    inference(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_320,plain,
    lhs_atom77,
    inference(fof_simplification,[status(thm)],[c_0_139]) ).

fof(c_0_321,plain,
    lhs_atom76,
    inference(fof_simplification,[status(thm)],[c_0_140]) ).

fof(c_0_322,plain,
    lhs_atom75,
    inference(fof_simplification,[status(thm)],[c_0_141]) ).

fof(c_0_323,plain,
    lhs_atom74,
    inference(fof_simplification,[status(thm)],[c_0_142]) ).

fof(c_0_324,plain,
    lhs_atom73,
    inference(fof_simplification,[status(thm)],[c_0_143]) ).

fof(c_0_325,plain,
    lhs_atom72,
    inference(fof_simplification,[status(thm)],[c_0_144]) ).

fof(c_0_326,plain,
    lhs_atom71,
    inference(fof_simplification,[status(thm)],[c_0_145]) ).

fof(c_0_327,plain,
    lhs_atom70,
    inference(fof_simplification,[status(thm)],[c_0_146]) ).

fof(c_0_328,plain,
    lhs_atom69,
    inference(fof_simplification,[status(thm)],[c_0_147]) ).

fof(c_0_329,plain,
    lhs_atom68,
    inference(fof_simplification,[status(thm)],[c_0_148]) ).

fof(c_0_330,plain,
    lhs_atom67,
    inference(fof_simplification,[status(thm)],[c_0_149]) ).

fof(c_0_331,plain,
    lhs_atom66,
    inference(fof_simplification,[status(thm)],[c_0_150]) ).

fof(c_0_332,plain,
    lhs_atom65,
    inference(fof_simplification,[status(thm)],[c_0_151]) ).

fof(c_0_333,plain,
    lhs_atom64,
    inference(fof_simplification,[status(thm)],[c_0_152]) ).

fof(c_0_334,plain,
    lhs_atom63,
    inference(fof_simplification,[status(thm)],[c_0_153]) ).

fof(c_0_335,plain,
    lhs_atom62,
    inference(fof_simplification,[status(thm)],[c_0_154]) ).

fof(c_0_336,plain,
    lhs_atom61,
    inference(fof_simplification,[status(thm)],[c_0_155]) ).

fof(c_0_337,plain,
    lhs_atom60,
    inference(fof_simplification,[status(thm)],[c_0_156]) ).

fof(c_0_338,plain,
    lhs_atom59,
    inference(fof_simplification,[status(thm)],[c_0_157]) ).

fof(c_0_339,plain,
    lhs_atom58,
    inference(fof_simplification,[status(thm)],[c_0_158]) ).

fof(c_0_340,plain,
    lhs_atom57,
    inference(fof_simplification,[status(thm)],[c_0_159]) ).

fof(c_0_341,plain,
    lhs_atom56,
    inference(fof_simplification,[status(thm)],[c_0_160]) ).

fof(c_0_342,plain,
    lhs_atom55,
    inference(fof_simplification,[status(thm)],[c_0_161]) ).

fof(c_0_343,plain,
    lhs_atom54,
    inference(fof_simplification,[status(thm)],[c_0_162]) ).

fof(c_0_344,plain,
    lhs_atom53,
    inference(fof_simplification,[status(thm)],[c_0_163]) ).

fof(c_0_345,plain,
    lhs_atom52,
    inference(fof_simplification,[status(thm)],[c_0_164]) ).

fof(c_0_346,plain,
    lhs_atom51,
    inference(fof_simplification,[status(thm)],[c_0_165]) ).

fof(c_0_347,plain,
    lhs_atom50,
    inference(fof_simplification,[status(thm)],[c_0_166]) ).

fof(c_0_348,plain,
    lhs_atom49,
    inference(fof_simplification,[status(thm)],[c_0_167]) ).

fof(c_0_349,plain,
    lhs_atom48,
    inference(fof_simplification,[status(thm)],[c_0_168]) ).

fof(c_0_350,plain,
    lhs_atom47,
    inference(fof_simplification,[status(thm)],[c_0_169]) ).

fof(c_0_351,plain,
    lhs_atom46,
    inference(fof_simplification,[status(thm)],[c_0_170]) ).

fof(c_0_352,plain,
    lhs_atom43,
    inference(fof_simplification,[status(thm)],[c_0_171]) ).

fof(c_0_353,plain,
    lhs_atom41,
    inference(fof_simplification,[status(thm)],[c_0_172]) ).

fof(c_0_354,plain,
    lhs_atom33,
    inference(fof_simplification,[status(thm)],[c_0_173]) ).

fof(c_0_355,plain,
    lhs_atom24,
    inference(fof_simplification,[status(thm)],[c_0_174]) ).

fof(c_0_356,plain,
    lhs_atom20,
    inference(fof_simplification,[status(thm)],[c_0_175]) ).

fof(c_0_357,plain,
    lhs_atom19,
    inference(fof_simplification,[status(thm)],[c_0_176]) ).

fof(c_0_358,plain,
    lhs_atom15,
    inference(fof_simplification,[status(thm)],[c_0_177]) ).

fof(c_0_359,plain,
    lhs_atom13,
    inference(fof_simplification,[status(thm)],[c_0_178]) ).

fof(c_0_360,plain,
    lhs_atom10,
    inference(fof_simplification,[status(thm)],[c_0_179]) ).

fof(c_0_361,plain,
    lhs_atom2,
    inference(fof_simplification,[status(thm)],[c_0_180]) ).

fof(c_0_362,plain,
    ! [X6,X7,X8,X9] : lhs_atom16(X6,X7,X8,X9),
    inference(variable_rename,[status(thm)],[c_0_181]) ).

fof(c_0_363,plain,
    ! [X4,X5] : lhs_atom28(X4,X5),
    inference(variable_rename,[status(thm)],[c_0_182]) ).

fof(c_0_364,plain,
    ! [X8,X9] : lhs_atom17(X8,X9),
    inference(variable_rename,[status(thm)],[c_0_183]) ).

fof(c_0_365,plain,
    ! [X4,X5] : lhs_atom11(X4,X5),
    inference(variable_rename,[status(thm)],[c_0_184]) ).

fof(c_0_366,plain,
    ! [X3] : lhs_atom45(X3),
    inference(variable_rename,[status(thm)],[c_0_185]) ).

fof(c_0_367,plain,
    ! [X9] : lhs_atom44(X9),
    inference(variable_rename,[status(thm)],[c_0_186]) ).

fof(c_0_368,plain,
    ! [X2] : lhs_atom42(X2),
    inference(variable_rename,[status(thm)],[c_0_187]) ).

fof(c_0_369,plain,
    ! [X3] : lhs_atom40(X3),
    inference(variable_rename,[status(thm)],[c_0_188]) ).

fof(c_0_370,plain,
    ! [X3] : lhs_atom39(X3),
    inference(variable_rename,[status(thm)],[c_0_189]) ).

fof(c_0_371,plain,
    ! [X3] : lhs_atom38(X3),
    inference(variable_rename,[status(thm)],[c_0_190]) ).

fof(c_0_372,plain,
    ! [X3] : lhs_atom37(X3),
    inference(variable_rename,[status(thm)],[c_0_191]) ).

fof(c_0_373,plain,
    ! [X3] : lhs_atom36(X3),
    inference(variable_rename,[status(thm)],[c_0_192]) ).

fof(c_0_374,plain,
    ! [X2] : lhs_atom35(X2),
    inference(variable_rename,[status(thm)],[c_0_193]) ).

fof(c_0_375,plain,
    ! [X10] : lhs_atom34(X10),
    inference(variable_rename,[status(thm)],[c_0_194]) ).

fof(c_0_376,plain,
    ! [X2] : lhs_atom32(X2),
    inference(variable_rename,[status(thm)],[c_0_195]) ).

fof(c_0_377,plain,
    ! [X3] : lhs_atom31(X3),
    inference(variable_rename,[status(thm)],[c_0_196]) ).

fof(c_0_378,plain,
    ! [X3] : lhs_atom30(X3),
    inference(variable_rename,[status(thm)],[c_0_197]) ).

fof(c_0_379,plain,
    ! [X3] : lhs_atom29(X3),
    inference(variable_rename,[status(thm)],[c_0_198]) ).

fof(c_0_380,plain,
    ! [X4] : lhs_atom27(X4),
    inference(variable_rename,[status(thm)],[c_0_199]) ).

fof(c_0_381,plain,
    ! [X2] : lhs_atom26(X2),
    inference(variable_rename,[status(thm)],[c_0_200]) ).

fof(c_0_382,plain,
    ! [X9] : lhs_atom25(X9),
    inference(variable_rename,[status(thm)],[c_0_201]) ).

fof(c_0_383,plain,
    ! [X2] : lhs_atom23(X2),
    inference(variable_rename,[status(thm)],[c_0_202]) ).

fof(c_0_384,plain,
    ! [X3] : lhs_atom22(X3),
    inference(variable_rename,[status(thm)],[c_0_203]) ).

fof(c_0_385,plain,
    ! [X3] : lhs_atom21(X3),
    inference(variable_rename,[status(thm)],[c_0_204]) ).

fof(c_0_386,plain,
    ! [X3] : lhs_atom18(X3),
    inference(variable_rename,[status(thm)],[c_0_205]) ).

fof(c_0_387,plain,
    ! [X3] : lhs_atom14(X3),
    inference(variable_rename,[status(thm)],[c_0_206]) ).

fof(c_0_388,plain,
    ! [X2] : lhs_atom12(X2),
    inference(variable_rename,[status(thm)],[c_0_207]) ).

fof(c_0_389,plain,
    ! [X3] : lhs_atom9(X3),
    inference(variable_rename,[status(thm)],[c_0_208]) ).

fof(c_0_390,plain,
    ! [X3] : lhs_atom8(X3),
    inference(variable_rename,[status(thm)],[c_0_209]) ).

fof(c_0_391,plain,
    ! [X3] : lhs_atom7(X3),
    inference(variable_rename,[status(thm)],[c_0_210]) ).

fof(c_0_392,plain,
    ! [X2] : lhs_atom6(X2),
    inference(variable_rename,[status(thm)],[c_0_211]) ).

fof(c_0_393,plain,
    ! [X2] : lhs_atom5(X2),
    inference(variable_rename,[status(thm)],[c_0_212]) ).

fof(c_0_394,plain,
    ! [X2] : lhs_atom4(X2),
    inference(variable_rename,[status(thm)],[c_0_213]) ).

fof(c_0_395,plain,
    ! [X3] : lhs_atom3(X3),
    inference(variable_rename,[status(thm)],[c_0_214]) ).

fof(c_0_396,plain,
    ! [X2] : lhs_atom1(X2),
    inference(variable_rename,[status(thm)],[c_0_215]) ).

fof(c_0_397,plain,
    lhs_atom181,
    c_0_216 ).

fof(c_0_398,plain,
    lhs_atom180,
    c_0_217 ).

fof(c_0_399,plain,
    lhs_atom179,
    c_0_218 ).

fof(c_0_400,plain,
    lhs_atom178,
    c_0_219 ).

fof(c_0_401,plain,
    lhs_atom177,
    c_0_220 ).

fof(c_0_402,plain,
    lhs_atom176,
    c_0_221 ).

fof(c_0_403,plain,
    lhs_atom175,
    c_0_222 ).

fof(c_0_404,plain,
    lhs_atom174,
    c_0_223 ).

fof(c_0_405,plain,
    lhs_atom173,
    c_0_224 ).

fof(c_0_406,plain,
    lhs_atom172,
    c_0_225 ).

fof(c_0_407,plain,
    lhs_atom171,
    c_0_226 ).

fof(c_0_408,plain,
    lhs_atom170,
    c_0_227 ).

fof(c_0_409,plain,
    lhs_atom169,
    c_0_228 ).

fof(c_0_410,plain,
    lhs_atom168,
    c_0_229 ).

fof(c_0_411,plain,
    lhs_atom167,
    c_0_230 ).

fof(c_0_412,plain,
    lhs_atom166,
    c_0_231 ).

fof(c_0_413,plain,
    lhs_atom165,
    c_0_232 ).

fof(c_0_414,plain,
    lhs_atom164,
    c_0_233 ).

fof(c_0_415,plain,
    lhs_atom163,
    c_0_234 ).

fof(c_0_416,plain,
    lhs_atom162,
    c_0_235 ).

fof(c_0_417,plain,
    lhs_atom161,
    c_0_236 ).

fof(c_0_418,plain,
    lhs_atom160,
    c_0_237 ).

fof(c_0_419,plain,
    lhs_atom159,
    c_0_238 ).

fof(c_0_420,plain,
    lhs_atom158,
    c_0_239 ).

fof(c_0_421,plain,
    lhs_atom157,
    c_0_240 ).

fof(c_0_422,plain,
    lhs_atom156,
    c_0_241 ).

fof(c_0_423,plain,
    lhs_atom155,
    c_0_242 ).

fof(c_0_424,plain,
    lhs_atom154,
    c_0_243 ).

fof(c_0_425,plain,
    lhs_atom153,
    c_0_244 ).

fof(c_0_426,plain,
    lhs_atom152,
    c_0_245 ).

fof(c_0_427,plain,
    lhs_atom151,
    c_0_246 ).

fof(c_0_428,plain,
    lhs_atom150,
    c_0_247 ).

fof(c_0_429,plain,
    lhs_atom149,
    c_0_248 ).

fof(c_0_430,plain,
    lhs_atom148,
    c_0_249 ).

fof(c_0_431,plain,
    lhs_atom147,
    c_0_250 ).

fof(c_0_432,plain,
    lhs_atom146,
    c_0_251 ).

fof(c_0_433,plain,
    lhs_atom145,
    c_0_252 ).

fof(c_0_434,plain,
    lhs_atom144,
    c_0_253 ).

fof(c_0_435,plain,
    lhs_atom143,
    c_0_254 ).

fof(c_0_436,plain,
    lhs_atom142,
    c_0_255 ).

fof(c_0_437,plain,
    lhs_atom141,
    c_0_256 ).

fof(c_0_438,plain,
    lhs_atom140,
    c_0_257 ).

fof(c_0_439,plain,
    lhs_atom139,
    c_0_258 ).

fof(c_0_440,plain,
    lhs_atom138,
    c_0_259 ).

fof(c_0_441,plain,
    lhs_atom137,
    c_0_260 ).

fof(c_0_442,plain,
    lhs_atom136,
    c_0_261 ).

fof(c_0_443,plain,
    lhs_atom135,
    c_0_262 ).

fof(c_0_444,plain,
    lhs_atom134,
    c_0_263 ).

fof(c_0_445,plain,
    lhs_atom133,
    c_0_264 ).

fof(c_0_446,plain,
    lhs_atom132,
    c_0_265 ).

fof(c_0_447,plain,
    lhs_atom131,
    c_0_266 ).

fof(c_0_448,plain,
    lhs_atom130,
    c_0_267 ).

fof(c_0_449,plain,
    lhs_atom129,
    c_0_268 ).

fof(c_0_450,plain,
    lhs_atom128,
    c_0_269 ).

fof(c_0_451,plain,
    lhs_atom127,
    c_0_270 ).

fof(c_0_452,plain,
    lhs_atom126,
    c_0_271 ).

fof(c_0_453,plain,
    lhs_atom125,
    c_0_272 ).

fof(c_0_454,plain,
    lhs_atom124,
    c_0_273 ).

fof(c_0_455,plain,
    lhs_atom123,
    c_0_274 ).

fof(c_0_456,plain,
    lhs_atom122,
    c_0_275 ).

fof(c_0_457,plain,
    lhs_atom121,
    c_0_276 ).

fof(c_0_458,plain,
    lhs_atom120,
    c_0_277 ).

fof(c_0_459,plain,
    lhs_atom119,
    c_0_278 ).

fof(c_0_460,plain,
    lhs_atom118,
    c_0_279 ).

fof(c_0_461,plain,
    lhs_atom117,
    c_0_280 ).

fof(c_0_462,plain,
    lhs_atom116,
    c_0_281 ).

fof(c_0_463,plain,
    lhs_atom115,
    c_0_282 ).

fof(c_0_464,plain,
    lhs_atom114,
    c_0_283 ).

fof(c_0_465,plain,
    lhs_atom113,
    c_0_284 ).

fof(c_0_466,plain,
    lhs_atom112,
    c_0_285 ).

fof(c_0_467,plain,
    lhs_atom111,
    c_0_286 ).

fof(c_0_468,plain,
    lhs_atom110,
    c_0_287 ).

fof(c_0_469,plain,
    lhs_atom109,
    c_0_288 ).

fof(c_0_470,plain,
    lhs_atom108,
    c_0_289 ).

fof(c_0_471,plain,
    lhs_atom107,
    c_0_290 ).

fof(c_0_472,plain,
    lhs_atom106,
    c_0_291 ).

fof(c_0_473,plain,
    lhs_atom105,
    c_0_292 ).

fof(c_0_474,plain,
    lhs_atom104,
    c_0_293 ).

fof(c_0_475,plain,
    lhs_atom103,
    c_0_294 ).

fof(c_0_476,plain,
    lhs_atom102,
    c_0_295 ).

fof(c_0_477,plain,
    lhs_atom101,
    c_0_296 ).

fof(c_0_478,plain,
    lhs_atom100,
    c_0_297 ).

fof(c_0_479,plain,
    lhs_atom99,
    c_0_298 ).

fof(c_0_480,plain,
    lhs_atom98,
    c_0_299 ).

fof(c_0_481,plain,
    lhs_atom97,
    c_0_300 ).

fof(c_0_482,plain,
    lhs_atom96,
    c_0_301 ).

fof(c_0_483,plain,
    lhs_atom95,
    c_0_302 ).

fof(c_0_484,plain,
    lhs_atom94,
    c_0_303 ).

fof(c_0_485,plain,
    lhs_atom93,
    c_0_304 ).

fof(c_0_486,plain,
    lhs_atom92,
    c_0_305 ).

fof(c_0_487,plain,
    lhs_atom91,
    c_0_306 ).

fof(c_0_488,plain,
    lhs_atom90,
    c_0_307 ).

fof(c_0_489,plain,
    lhs_atom89,
    c_0_308 ).

fof(c_0_490,plain,
    lhs_atom88,
    c_0_309 ).

fof(c_0_491,plain,
    lhs_atom87,
    c_0_310 ).

fof(c_0_492,plain,
    lhs_atom86,
    c_0_311 ).

fof(c_0_493,plain,
    lhs_atom85,
    c_0_312 ).

fof(c_0_494,plain,
    lhs_atom84,
    c_0_313 ).

fof(c_0_495,plain,
    lhs_atom83,
    c_0_314 ).

fof(c_0_496,plain,
    lhs_atom82,
    c_0_315 ).

fof(c_0_497,plain,
    lhs_atom81,
    c_0_316 ).

fof(c_0_498,plain,
    lhs_atom80,
    c_0_317 ).

fof(c_0_499,plain,
    lhs_atom79,
    c_0_318 ).

fof(c_0_500,plain,
    lhs_atom78,
    c_0_319 ).

fof(c_0_501,plain,
    lhs_atom77,
    c_0_320 ).

fof(c_0_502,plain,
    lhs_atom76,
    c_0_321 ).

fof(c_0_503,plain,
    lhs_atom75,
    c_0_322 ).

fof(c_0_504,plain,
    lhs_atom74,
    c_0_323 ).

fof(c_0_505,plain,
    lhs_atom73,
    c_0_324 ).

fof(c_0_506,plain,
    lhs_atom72,
    c_0_325 ).

fof(c_0_507,plain,
    lhs_atom71,
    c_0_326 ).

fof(c_0_508,plain,
    lhs_atom70,
    c_0_327 ).

fof(c_0_509,plain,
    lhs_atom69,
    c_0_328 ).

fof(c_0_510,plain,
    lhs_atom68,
    c_0_329 ).

fof(c_0_511,plain,
    lhs_atom67,
    c_0_330 ).

fof(c_0_512,plain,
    lhs_atom66,
    c_0_331 ).

fof(c_0_513,plain,
    lhs_atom65,
    c_0_332 ).

fof(c_0_514,plain,
    lhs_atom64,
    c_0_333 ).

fof(c_0_515,plain,
    lhs_atom63,
    c_0_334 ).

fof(c_0_516,plain,
    lhs_atom62,
    c_0_335 ).

fof(c_0_517,plain,
    lhs_atom61,
    c_0_336 ).

fof(c_0_518,plain,
    lhs_atom60,
    c_0_337 ).

fof(c_0_519,plain,
    lhs_atom59,
    c_0_338 ).

fof(c_0_520,plain,
    lhs_atom58,
    c_0_339 ).

fof(c_0_521,plain,
    lhs_atom57,
    c_0_340 ).

fof(c_0_522,plain,
    lhs_atom56,
    c_0_341 ).

fof(c_0_523,plain,
    lhs_atom55,
    c_0_342 ).

fof(c_0_524,plain,
    lhs_atom54,
    c_0_343 ).

fof(c_0_525,plain,
    lhs_atom53,
    c_0_344 ).

fof(c_0_526,plain,
    lhs_atom52,
    c_0_345 ).

fof(c_0_527,plain,
    lhs_atom51,
    c_0_346 ).

fof(c_0_528,plain,
    lhs_atom50,
    c_0_347 ).

fof(c_0_529,plain,
    lhs_atom49,
    c_0_348 ).

fof(c_0_530,plain,
    lhs_atom48,
    c_0_349 ).

fof(c_0_531,plain,
    lhs_atom47,
    c_0_350 ).

fof(c_0_532,plain,
    lhs_atom46,
    c_0_351 ).

fof(c_0_533,plain,
    lhs_atom43,
    c_0_352 ).

fof(c_0_534,plain,
    lhs_atom41,
    c_0_353 ).

fof(c_0_535,plain,
    lhs_atom33,
    c_0_354 ).

fof(c_0_536,plain,
    lhs_atom24,
    c_0_355 ).

fof(c_0_537,plain,
    lhs_atom20,
    c_0_356 ).

fof(c_0_538,plain,
    lhs_atom19,
    c_0_357 ).

fof(c_0_539,plain,
    lhs_atom15,
    c_0_358 ).

fof(c_0_540,plain,
    lhs_atom13,
    c_0_359 ).

fof(c_0_541,plain,
    lhs_atom10,
    c_0_360 ).

fof(c_0_542,plain,
    lhs_atom2,
    c_0_361 ).

cnf(c_0_543,plain,
    lhs_atom16(X1,X2,X3,X4),
    inference(split_conjunct,[status(thm)],[c_0_362]) ).

cnf(c_0_544,plain,
    lhs_atom28(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_363]) ).

cnf(c_0_545,plain,
    lhs_atom17(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_364]) ).

cnf(c_0_546,plain,
    lhs_atom11(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_365]) ).

cnf(c_0_547,plain,
    lhs_atom45(X1),
    inference(split_conjunct,[status(thm)],[c_0_366]) ).

cnf(c_0_548,plain,
    lhs_atom44(X1),
    inference(split_conjunct,[status(thm)],[c_0_367]) ).

cnf(c_0_549,plain,
    lhs_atom42(X1),
    inference(split_conjunct,[status(thm)],[c_0_368]) ).

cnf(c_0_550,plain,
    lhs_atom40(X1),
    inference(split_conjunct,[status(thm)],[c_0_369]) ).

cnf(c_0_551,plain,
    lhs_atom39(X1),
    inference(split_conjunct,[status(thm)],[c_0_370]) ).

cnf(c_0_552,plain,
    lhs_atom38(X1),
    inference(split_conjunct,[status(thm)],[c_0_371]) ).

cnf(c_0_553,plain,
    lhs_atom37(X1),
    inference(split_conjunct,[status(thm)],[c_0_372]) ).

cnf(c_0_554,plain,
    lhs_atom36(X1),
    inference(split_conjunct,[status(thm)],[c_0_373]) ).

cnf(c_0_555,plain,
    lhs_atom35(X1),
    inference(split_conjunct,[status(thm)],[c_0_374]) ).

cnf(c_0_556,plain,
    lhs_atom34(X1),
    inference(split_conjunct,[status(thm)],[c_0_375]) ).

cnf(c_0_557,plain,
    lhs_atom32(X1),
    inference(split_conjunct,[status(thm)],[c_0_376]) ).

cnf(c_0_558,plain,
    lhs_atom31(X1),
    inference(split_conjunct,[status(thm)],[c_0_377]) ).

cnf(c_0_559,plain,
    lhs_atom30(X1),
    inference(split_conjunct,[status(thm)],[c_0_378]) ).

cnf(c_0_560,plain,
    lhs_atom29(X1),
    inference(split_conjunct,[status(thm)],[c_0_379]) ).

cnf(c_0_561,plain,
    lhs_atom27(X1),
    inference(split_conjunct,[status(thm)],[c_0_380]) ).

cnf(c_0_562,plain,
    lhs_atom26(X1),
    inference(split_conjunct,[status(thm)],[c_0_381]) ).

cnf(c_0_563,plain,
    lhs_atom25(X1),
    inference(split_conjunct,[status(thm)],[c_0_382]) ).

cnf(c_0_564,plain,
    lhs_atom23(X1),
    inference(split_conjunct,[status(thm)],[c_0_383]) ).

cnf(c_0_565,plain,
    lhs_atom22(X1),
    inference(split_conjunct,[status(thm)],[c_0_384]) ).

cnf(c_0_566,plain,
    lhs_atom21(X1),
    inference(split_conjunct,[status(thm)],[c_0_385]) ).

cnf(c_0_567,plain,
    lhs_atom18(X1),
    inference(split_conjunct,[status(thm)],[c_0_386]) ).

cnf(c_0_568,plain,
    lhs_atom14(X1),
    inference(split_conjunct,[status(thm)],[c_0_387]) ).

cnf(c_0_569,plain,
    lhs_atom12(X1),
    inference(split_conjunct,[status(thm)],[c_0_388]) ).

cnf(c_0_570,plain,
    lhs_atom9(X1),
    inference(split_conjunct,[status(thm)],[c_0_389]) ).

cnf(c_0_571,plain,
    lhs_atom8(X1),
    inference(split_conjunct,[status(thm)],[c_0_390]) ).

cnf(c_0_572,plain,
    lhs_atom7(X1),
    inference(split_conjunct,[status(thm)],[c_0_391]) ).

cnf(c_0_573,plain,
    lhs_atom6(X1),
    inference(split_conjunct,[status(thm)],[c_0_392]) ).

cnf(c_0_574,plain,
    lhs_atom5(X1),
    inference(split_conjunct,[status(thm)],[c_0_393]) ).

cnf(c_0_575,plain,
    lhs_atom4(X1),
    inference(split_conjunct,[status(thm)],[c_0_394]) ).

cnf(c_0_576,plain,
    lhs_atom3(X1),
    inference(split_conjunct,[status(thm)],[c_0_395]) ).

cnf(c_0_577,plain,
    lhs_atom1(X1),
    inference(split_conjunct,[status(thm)],[c_0_396]) ).

cnf(c_0_578,plain,
    lhs_atom181,
    inference(split_conjunct,[status(thm)],[c_0_397]) ).

cnf(c_0_579,plain,
    lhs_atom180,
    inference(split_conjunct,[status(thm)],[c_0_398]) ).

cnf(c_0_580,plain,
    lhs_atom179,
    inference(split_conjunct,[status(thm)],[c_0_399]) ).

cnf(c_0_581,plain,
    lhs_atom178,
    inference(split_conjunct,[status(thm)],[c_0_400]) ).

cnf(c_0_582,plain,
    lhs_atom177,
    inference(split_conjunct,[status(thm)],[c_0_401]) ).

cnf(c_0_583,plain,
    lhs_atom176,
    inference(split_conjunct,[status(thm)],[c_0_402]) ).

cnf(c_0_584,plain,
    lhs_atom175,
    inference(split_conjunct,[status(thm)],[c_0_403]) ).

cnf(c_0_585,plain,
    lhs_atom174,
    inference(split_conjunct,[status(thm)],[c_0_404]) ).

cnf(c_0_586,plain,
    lhs_atom173,
    inference(split_conjunct,[status(thm)],[c_0_405]) ).

cnf(c_0_587,plain,
    lhs_atom172,
    inference(split_conjunct,[status(thm)],[c_0_406]) ).

cnf(c_0_588,plain,
    lhs_atom171,
    inference(split_conjunct,[status(thm)],[c_0_407]) ).

cnf(c_0_589,plain,
    lhs_atom170,
    inference(split_conjunct,[status(thm)],[c_0_408]) ).

cnf(c_0_590,plain,
    lhs_atom169,
    inference(split_conjunct,[status(thm)],[c_0_409]) ).

cnf(c_0_591,plain,
    lhs_atom168,
    inference(split_conjunct,[status(thm)],[c_0_410]) ).

cnf(c_0_592,plain,
    lhs_atom167,
    inference(split_conjunct,[status(thm)],[c_0_411]) ).

cnf(c_0_593,plain,
    lhs_atom166,
    inference(split_conjunct,[status(thm)],[c_0_412]) ).

cnf(c_0_594,plain,
    lhs_atom165,
    inference(split_conjunct,[status(thm)],[c_0_413]) ).

cnf(c_0_595,plain,
    lhs_atom164,
    inference(split_conjunct,[status(thm)],[c_0_414]) ).

cnf(c_0_596,plain,
    lhs_atom163,
    inference(split_conjunct,[status(thm)],[c_0_415]) ).

cnf(c_0_597,plain,
    lhs_atom162,
    inference(split_conjunct,[status(thm)],[c_0_416]) ).

cnf(c_0_598,plain,
    lhs_atom161,
    inference(split_conjunct,[status(thm)],[c_0_417]) ).

cnf(c_0_599,plain,
    lhs_atom160,
    inference(split_conjunct,[status(thm)],[c_0_418]) ).

cnf(c_0_600,plain,
    lhs_atom159,
    inference(split_conjunct,[status(thm)],[c_0_419]) ).

cnf(c_0_601,plain,
    lhs_atom158,
    inference(split_conjunct,[status(thm)],[c_0_420]) ).

cnf(c_0_602,plain,
    lhs_atom157,
    inference(split_conjunct,[status(thm)],[c_0_421]) ).

cnf(c_0_603,plain,
    lhs_atom156,
    inference(split_conjunct,[status(thm)],[c_0_422]) ).

cnf(c_0_604,plain,
    lhs_atom155,
    inference(split_conjunct,[status(thm)],[c_0_423]) ).

cnf(c_0_605,plain,
    lhs_atom154,
    inference(split_conjunct,[status(thm)],[c_0_424]) ).

cnf(c_0_606,plain,
    lhs_atom153,
    inference(split_conjunct,[status(thm)],[c_0_425]) ).

cnf(c_0_607,plain,
    lhs_atom152,
    inference(split_conjunct,[status(thm)],[c_0_426]) ).

cnf(c_0_608,plain,
    lhs_atom151,
    inference(split_conjunct,[status(thm)],[c_0_427]) ).

cnf(c_0_609,plain,
    lhs_atom150,
    inference(split_conjunct,[status(thm)],[c_0_428]) ).

cnf(c_0_610,plain,
    lhs_atom149,
    inference(split_conjunct,[status(thm)],[c_0_429]) ).

cnf(c_0_611,plain,
    lhs_atom148,
    inference(split_conjunct,[status(thm)],[c_0_430]) ).

cnf(c_0_612,plain,
    lhs_atom147,
    inference(split_conjunct,[status(thm)],[c_0_431]) ).

cnf(c_0_613,plain,
    lhs_atom146,
    inference(split_conjunct,[status(thm)],[c_0_432]) ).

cnf(c_0_614,plain,
    lhs_atom145,
    inference(split_conjunct,[status(thm)],[c_0_433]) ).

cnf(c_0_615,plain,
    lhs_atom144,
    inference(split_conjunct,[status(thm)],[c_0_434]) ).

cnf(c_0_616,plain,
    lhs_atom143,
    inference(split_conjunct,[status(thm)],[c_0_435]) ).

cnf(c_0_617,plain,
    lhs_atom142,
    inference(split_conjunct,[status(thm)],[c_0_436]) ).

cnf(c_0_618,plain,
    lhs_atom141,
    inference(split_conjunct,[status(thm)],[c_0_437]) ).

cnf(c_0_619,plain,
    lhs_atom140,
    inference(split_conjunct,[status(thm)],[c_0_438]) ).

cnf(c_0_620,plain,
    lhs_atom139,
    inference(split_conjunct,[status(thm)],[c_0_439]) ).

cnf(c_0_621,plain,
    lhs_atom138,
    inference(split_conjunct,[status(thm)],[c_0_440]) ).

cnf(c_0_622,plain,
    lhs_atom137,
    inference(split_conjunct,[status(thm)],[c_0_441]) ).

cnf(c_0_623,plain,
    lhs_atom136,
    inference(split_conjunct,[status(thm)],[c_0_442]) ).

cnf(c_0_624,plain,
    lhs_atom135,
    inference(split_conjunct,[status(thm)],[c_0_443]) ).

cnf(c_0_625,plain,
    lhs_atom134,
    inference(split_conjunct,[status(thm)],[c_0_444]) ).

cnf(c_0_626,plain,
    lhs_atom133,
    inference(split_conjunct,[status(thm)],[c_0_445]) ).

cnf(c_0_627,plain,
    lhs_atom132,
    inference(split_conjunct,[status(thm)],[c_0_446]) ).

cnf(c_0_628,plain,
    lhs_atom131,
    inference(split_conjunct,[status(thm)],[c_0_447]) ).

cnf(c_0_629,plain,
    lhs_atom130,
    inference(split_conjunct,[status(thm)],[c_0_448]) ).

cnf(c_0_630,plain,
    lhs_atom129,
    inference(split_conjunct,[status(thm)],[c_0_449]) ).

cnf(c_0_631,plain,
    lhs_atom128,
    inference(split_conjunct,[status(thm)],[c_0_450]) ).

cnf(c_0_632,plain,
    lhs_atom127,
    inference(split_conjunct,[status(thm)],[c_0_451]) ).

cnf(c_0_633,plain,
    lhs_atom126,
    inference(split_conjunct,[status(thm)],[c_0_452]) ).

cnf(c_0_634,plain,
    lhs_atom125,
    inference(split_conjunct,[status(thm)],[c_0_453]) ).

cnf(c_0_635,plain,
    lhs_atom124,
    inference(split_conjunct,[status(thm)],[c_0_454]) ).

cnf(c_0_636,plain,
    lhs_atom123,
    inference(split_conjunct,[status(thm)],[c_0_455]) ).

cnf(c_0_637,plain,
    lhs_atom122,
    inference(split_conjunct,[status(thm)],[c_0_456]) ).

cnf(c_0_638,plain,
    lhs_atom121,
    inference(split_conjunct,[status(thm)],[c_0_457]) ).

cnf(c_0_639,plain,
    lhs_atom120,
    inference(split_conjunct,[status(thm)],[c_0_458]) ).

cnf(c_0_640,plain,
    lhs_atom119,
    inference(split_conjunct,[status(thm)],[c_0_459]) ).

cnf(c_0_641,plain,
    lhs_atom118,
    inference(split_conjunct,[status(thm)],[c_0_460]) ).

cnf(c_0_642,plain,
    lhs_atom117,
    inference(split_conjunct,[status(thm)],[c_0_461]) ).

cnf(c_0_643,plain,
    lhs_atom116,
    inference(split_conjunct,[status(thm)],[c_0_462]) ).

cnf(c_0_644,plain,
    lhs_atom115,
    inference(split_conjunct,[status(thm)],[c_0_463]) ).

cnf(c_0_645,plain,
    lhs_atom114,
    inference(split_conjunct,[status(thm)],[c_0_464]) ).

cnf(c_0_646,plain,
    lhs_atom113,
    inference(split_conjunct,[status(thm)],[c_0_465]) ).

cnf(c_0_647,plain,
    lhs_atom112,
    inference(split_conjunct,[status(thm)],[c_0_466]) ).

cnf(c_0_648,plain,
    lhs_atom111,
    inference(split_conjunct,[status(thm)],[c_0_467]) ).

cnf(c_0_649,plain,
    lhs_atom110,
    inference(split_conjunct,[status(thm)],[c_0_468]) ).

cnf(c_0_650,plain,
    lhs_atom109,
    inference(split_conjunct,[status(thm)],[c_0_469]) ).

cnf(c_0_651,plain,
    lhs_atom108,
    inference(split_conjunct,[status(thm)],[c_0_470]) ).

cnf(c_0_652,plain,
    lhs_atom107,
    inference(split_conjunct,[status(thm)],[c_0_471]) ).

cnf(c_0_653,plain,
    lhs_atom106,
    inference(split_conjunct,[status(thm)],[c_0_472]) ).

cnf(c_0_654,plain,
    lhs_atom105,
    inference(split_conjunct,[status(thm)],[c_0_473]) ).

cnf(c_0_655,plain,
    lhs_atom104,
    inference(split_conjunct,[status(thm)],[c_0_474]) ).

cnf(c_0_656,plain,
    lhs_atom103,
    inference(split_conjunct,[status(thm)],[c_0_475]) ).

cnf(c_0_657,plain,
    lhs_atom102,
    inference(split_conjunct,[status(thm)],[c_0_476]) ).

cnf(c_0_658,plain,
    lhs_atom101,
    inference(split_conjunct,[status(thm)],[c_0_477]) ).

cnf(c_0_659,plain,
    lhs_atom100,
    inference(split_conjunct,[status(thm)],[c_0_478]) ).

cnf(c_0_660,plain,
    lhs_atom99,
    inference(split_conjunct,[status(thm)],[c_0_479]) ).

cnf(c_0_661,plain,
    lhs_atom98,
    inference(split_conjunct,[status(thm)],[c_0_480]) ).

cnf(c_0_662,plain,
    lhs_atom97,
    inference(split_conjunct,[status(thm)],[c_0_481]) ).

cnf(c_0_663,plain,
    lhs_atom96,
    inference(split_conjunct,[status(thm)],[c_0_482]) ).

cnf(c_0_664,plain,
    lhs_atom95,
    inference(split_conjunct,[status(thm)],[c_0_483]) ).

cnf(c_0_665,plain,
    lhs_atom94,
    inference(split_conjunct,[status(thm)],[c_0_484]) ).

cnf(c_0_666,plain,
    lhs_atom93,
    inference(split_conjunct,[status(thm)],[c_0_485]) ).

cnf(c_0_667,plain,
    lhs_atom92,
    inference(split_conjunct,[status(thm)],[c_0_486]) ).

cnf(c_0_668,plain,
    lhs_atom91,
    inference(split_conjunct,[status(thm)],[c_0_487]) ).

cnf(c_0_669,plain,
    lhs_atom90,
    inference(split_conjunct,[status(thm)],[c_0_488]) ).

cnf(c_0_670,plain,
    lhs_atom89,
    inference(split_conjunct,[status(thm)],[c_0_489]) ).

cnf(c_0_671,plain,
    lhs_atom88,
    inference(split_conjunct,[status(thm)],[c_0_490]) ).

cnf(c_0_672,plain,
    lhs_atom87,
    inference(split_conjunct,[status(thm)],[c_0_491]) ).

cnf(c_0_673,plain,
    lhs_atom86,
    inference(split_conjunct,[status(thm)],[c_0_492]) ).

cnf(c_0_674,plain,
    lhs_atom85,
    inference(split_conjunct,[status(thm)],[c_0_493]) ).

cnf(c_0_675,plain,
    lhs_atom84,
    inference(split_conjunct,[status(thm)],[c_0_494]) ).

cnf(c_0_676,plain,
    lhs_atom83,
    inference(split_conjunct,[status(thm)],[c_0_495]) ).

cnf(c_0_677,plain,
    lhs_atom82,
    inference(split_conjunct,[status(thm)],[c_0_496]) ).

cnf(c_0_678,plain,
    lhs_atom81,
    inference(split_conjunct,[status(thm)],[c_0_497]) ).

cnf(c_0_679,plain,
    lhs_atom80,
    inference(split_conjunct,[status(thm)],[c_0_498]) ).

cnf(c_0_680,plain,
    lhs_atom79,
    inference(split_conjunct,[status(thm)],[c_0_499]) ).

cnf(c_0_681,plain,
    lhs_atom78,
    inference(split_conjunct,[status(thm)],[c_0_500]) ).

cnf(c_0_682,plain,
    lhs_atom77,
    inference(split_conjunct,[status(thm)],[c_0_501]) ).

cnf(c_0_683,plain,
    lhs_atom76,
    inference(split_conjunct,[status(thm)],[c_0_502]) ).

cnf(c_0_684,plain,
    lhs_atom75,
    inference(split_conjunct,[status(thm)],[c_0_503]) ).

cnf(c_0_685,plain,
    lhs_atom74,
    inference(split_conjunct,[status(thm)],[c_0_504]) ).

cnf(c_0_686,plain,
    lhs_atom73,
    inference(split_conjunct,[status(thm)],[c_0_505]) ).

cnf(c_0_687,plain,
    lhs_atom72,
    inference(split_conjunct,[status(thm)],[c_0_506]) ).

cnf(c_0_688,plain,
    lhs_atom71,
    inference(split_conjunct,[status(thm)],[c_0_507]) ).

cnf(c_0_689,plain,
    lhs_atom70,
    inference(split_conjunct,[status(thm)],[c_0_508]) ).

cnf(c_0_690,plain,
    lhs_atom69,
    inference(split_conjunct,[status(thm)],[c_0_509]) ).

cnf(c_0_691,plain,
    lhs_atom68,
    inference(split_conjunct,[status(thm)],[c_0_510]) ).

cnf(c_0_692,plain,
    lhs_atom67,
    inference(split_conjunct,[status(thm)],[c_0_511]) ).

cnf(c_0_693,plain,
    lhs_atom66,
    inference(split_conjunct,[status(thm)],[c_0_512]) ).

cnf(c_0_694,plain,
    lhs_atom65,
    inference(split_conjunct,[status(thm)],[c_0_513]) ).

cnf(c_0_695,plain,
    lhs_atom64,
    inference(split_conjunct,[status(thm)],[c_0_514]) ).

cnf(c_0_696,plain,
    lhs_atom63,
    inference(split_conjunct,[status(thm)],[c_0_515]) ).

cnf(c_0_697,plain,
    lhs_atom62,
    inference(split_conjunct,[status(thm)],[c_0_516]) ).

cnf(c_0_698,plain,
    lhs_atom61,
    inference(split_conjunct,[status(thm)],[c_0_517]) ).

cnf(c_0_699,plain,
    lhs_atom60,
    inference(split_conjunct,[status(thm)],[c_0_518]) ).

cnf(c_0_700,plain,
    lhs_atom59,
    inference(split_conjunct,[status(thm)],[c_0_519]) ).

cnf(c_0_701,plain,
    lhs_atom58,
    inference(split_conjunct,[status(thm)],[c_0_520]) ).

cnf(c_0_702,plain,
    lhs_atom57,
    inference(split_conjunct,[status(thm)],[c_0_521]) ).

cnf(c_0_703,plain,
    lhs_atom56,
    inference(split_conjunct,[status(thm)],[c_0_522]) ).

cnf(c_0_704,plain,
    lhs_atom55,
    inference(split_conjunct,[status(thm)],[c_0_523]) ).

cnf(c_0_705,plain,
    lhs_atom54,
    inference(split_conjunct,[status(thm)],[c_0_524]) ).

cnf(c_0_706,plain,
    lhs_atom53,
    inference(split_conjunct,[status(thm)],[c_0_525]) ).

cnf(c_0_707,plain,
    lhs_atom52,
    inference(split_conjunct,[status(thm)],[c_0_526]) ).

cnf(c_0_708,plain,
    lhs_atom51,
    inference(split_conjunct,[status(thm)],[c_0_527]) ).

cnf(c_0_709,plain,
    lhs_atom50,
    inference(split_conjunct,[status(thm)],[c_0_528]) ).

cnf(c_0_710,plain,
    lhs_atom49,
    inference(split_conjunct,[status(thm)],[c_0_529]) ).

cnf(c_0_711,plain,
    lhs_atom48,
    inference(split_conjunct,[status(thm)],[c_0_530]) ).

cnf(c_0_712,plain,
    lhs_atom47,
    inference(split_conjunct,[status(thm)],[c_0_531]) ).

cnf(c_0_713,plain,
    lhs_atom46,
    inference(split_conjunct,[status(thm)],[c_0_532]) ).

cnf(c_0_714,plain,
    lhs_atom43,
    inference(split_conjunct,[status(thm)],[c_0_533]) ).

cnf(c_0_715,plain,
    lhs_atom41,
    inference(split_conjunct,[status(thm)],[c_0_534]) ).

cnf(c_0_716,plain,
    lhs_atom33,
    inference(split_conjunct,[status(thm)],[c_0_535]) ).

cnf(c_0_717,plain,
    lhs_atom24,
    inference(split_conjunct,[status(thm)],[c_0_536]) ).

cnf(c_0_718,plain,
    lhs_atom20,
    inference(split_conjunct,[status(thm)],[c_0_537]) ).

cnf(c_0_719,plain,
    lhs_atom19,
    inference(split_conjunct,[status(thm)],[c_0_538]) ).

cnf(c_0_720,plain,
    lhs_atom15,
    inference(split_conjunct,[status(thm)],[c_0_539]) ).

cnf(c_0_721,plain,
    lhs_atom13,
    inference(split_conjunct,[status(thm)],[c_0_540]) ).

cnf(c_0_722,plain,
    lhs_atom10,
    inference(split_conjunct,[status(thm)],[c_0_541]) ).

cnf(c_0_723,plain,
    lhs_atom2,
    inference(split_conjunct,[status(thm)],[c_0_542]) ).

cnf(c_0_724,plain,
    lhs_atom16(X1,X2,X3,X4),
    c_0_543,
    [final] ).

cnf(c_0_725,plain,
    lhs_atom28(X1,X2),
    c_0_544,
    [final] ).

cnf(c_0_726,plain,
    lhs_atom17(X1,X2),
    c_0_545,
    [final] ).

cnf(c_0_727,plain,
    lhs_atom11(X1,X2),
    c_0_546,
    [final] ).

cnf(c_0_728,plain,
    lhs_atom45(X1),
    c_0_547,
    [final] ).

cnf(c_0_729,plain,
    lhs_atom44(X1),
    c_0_548,
    [final] ).

cnf(c_0_730,plain,
    lhs_atom42(X1),
    c_0_549,
    [final] ).

cnf(c_0_731,plain,
    lhs_atom40(X1),
    c_0_550,
    [final] ).

cnf(c_0_732,plain,
    lhs_atom39(X1),
    c_0_551,
    [final] ).

cnf(c_0_733,plain,
    lhs_atom38(X1),
    c_0_552,
    [final] ).

cnf(c_0_734,plain,
    lhs_atom37(X1),
    c_0_553,
    [final] ).

cnf(c_0_735,plain,
    lhs_atom36(X1),
    c_0_554,
    [final] ).

cnf(c_0_736,plain,
    lhs_atom35(X1),
    c_0_555,
    [final] ).

cnf(c_0_737,plain,
    lhs_atom34(X1),
    c_0_556,
    [final] ).

cnf(c_0_738,plain,
    lhs_atom32(X1),
    c_0_557,
    [final] ).

cnf(c_0_739,plain,
    lhs_atom31(X1),
    c_0_558,
    [final] ).

cnf(c_0_740,plain,
    lhs_atom30(X1),
    c_0_559,
    [final] ).

cnf(c_0_741,plain,
    lhs_atom29(X1),
    c_0_560,
    [final] ).

cnf(c_0_742,plain,
    lhs_atom27(X1),
    c_0_561,
    [final] ).

cnf(c_0_743,plain,
    lhs_atom26(X1),
    c_0_562,
    [final] ).

cnf(c_0_744,plain,
    lhs_atom25(X1),
    c_0_563,
    [final] ).

cnf(c_0_745,plain,
    lhs_atom23(X1),
    c_0_564,
    [final] ).

cnf(c_0_746,plain,
    lhs_atom22(X1),
    c_0_565,
    [final] ).

cnf(c_0_747,plain,
    lhs_atom21(X1),
    c_0_566,
    [final] ).

cnf(c_0_748,plain,
    lhs_atom18(X1),
    c_0_567,
    [final] ).

cnf(c_0_749,plain,
    lhs_atom14(X1),
    c_0_568,
    [final] ).

cnf(c_0_750,plain,
    lhs_atom12(X1),
    c_0_569,
    [final] ).

cnf(c_0_751,plain,
    lhs_atom9(X1),
    c_0_570,
    [final] ).

cnf(c_0_752,plain,
    lhs_atom8(X1),
    c_0_571,
    [final] ).

cnf(c_0_753,plain,
    lhs_atom7(X1),
    c_0_572,
    [final] ).

cnf(c_0_754,plain,
    lhs_atom6(X1),
    c_0_573,
    [final] ).

cnf(c_0_755,plain,
    lhs_atom5(X1),
    c_0_574,
    [final] ).

cnf(c_0_756,plain,
    lhs_atom4(X1),
    c_0_575,
    [final] ).

cnf(c_0_757,plain,
    lhs_atom3(X1),
    c_0_576,
    [final] ).

cnf(c_0_758,plain,
    lhs_atom1(X1),
    c_0_577,
    [final] ).

cnf(c_0_759,plain,
    lhs_atom181,
    c_0_578,
    [final] ).

cnf(c_0_760,plain,
    lhs_atom180,
    c_0_579,
    [final] ).

cnf(c_0_761,plain,
    lhs_atom179,
    c_0_580,
    [final] ).

cnf(c_0_762,plain,
    lhs_atom178,
    c_0_581,
    [final] ).

cnf(c_0_763,plain,
    lhs_atom177,
    c_0_582,
    [final] ).

cnf(c_0_764,plain,
    lhs_atom176,
    c_0_583,
    [final] ).

cnf(c_0_765,plain,
    lhs_atom175,
    c_0_584,
    [final] ).

cnf(c_0_766,plain,
    lhs_atom174,
    c_0_585,
    [final] ).

cnf(c_0_767,plain,
    lhs_atom173,
    c_0_586,
    [final] ).

cnf(c_0_768,plain,
    lhs_atom172,
    c_0_587,
    [final] ).

cnf(c_0_769,plain,
    lhs_atom171,
    c_0_588,
    [final] ).

cnf(c_0_770,plain,
    lhs_atom170,
    c_0_589,
    [final] ).

cnf(c_0_771,plain,
    lhs_atom169,
    c_0_590,
    [final] ).

cnf(c_0_772,plain,
    lhs_atom168,
    c_0_591,
    [final] ).

cnf(c_0_773,plain,
    lhs_atom167,
    c_0_592,
    [final] ).

cnf(c_0_774,plain,
    lhs_atom166,
    c_0_593,
    [final] ).

cnf(c_0_775,plain,
    lhs_atom165,
    c_0_594,
    [final] ).

cnf(c_0_776,plain,
    lhs_atom164,
    c_0_595,
    [final] ).

cnf(c_0_777,plain,
    lhs_atom163,
    c_0_596,
    [final] ).

cnf(c_0_778,plain,
    lhs_atom162,
    c_0_597,
    [final] ).

cnf(c_0_779,plain,
    lhs_atom161,
    c_0_598,
    [final] ).

cnf(c_0_780,plain,
    lhs_atom160,
    c_0_599,
    [final] ).

cnf(c_0_781,plain,
    lhs_atom159,
    c_0_600,
    [final] ).

cnf(c_0_782,plain,
    lhs_atom158,
    c_0_601,
    [final] ).

cnf(c_0_783,plain,
    lhs_atom157,
    c_0_602,
    [final] ).

cnf(c_0_784,plain,
    lhs_atom156,
    c_0_603,
    [final] ).

cnf(c_0_785,plain,
    lhs_atom155,
    c_0_604,
    [final] ).

cnf(c_0_786,plain,
    lhs_atom154,
    c_0_605,
    [final] ).

cnf(c_0_787,plain,
    lhs_atom153,
    c_0_606,
    [final] ).

cnf(c_0_788,plain,
    lhs_atom152,
    c_0_607,
    [final] ).

cnf(c_0_789,plain,
    lhs_atom151,
    c_0_608,
    [final] ).

cnf(c_0_790,plain,
    lhs_atom150,
    c_0_609,
    [final] ).

cnf(c_0_791,plain,
    lhs_atom149,
    c_0_610,
    [final] ).

cnf(c_0_792,plain,
    lhs_atom148,
    c_0_611,
    [final] ).

cnf(c_0_793,plain,
    lhs_atom147,
    c_0_612,
    [final] ).

cnf(c_0_794,plain,
    lhs_atom146,
    c_0_613,
    [final] ).

cnf(c_0_795,plain,
    lhs_atom145,
    c_0_614,
    [final] ).

cnf(c_0_796,plain,
    lhs_atom144,
    c_0_615,
    [final] ).

cnf(c_0_797,plain,
    lhs_atom143,
    c_0_616,
    [final] ).

cnf(c_0_798,plain,
    lhs_atom142,
    c_0_617,
    [final] ).

cnf(c_0_799,plain,
    lhs_atom141,
    c_0_618,
    [final] ).

cnf(c_0_800,plain,
    lhs_atom140,
    c_0_619,
    [final] ).

cnf(c_0_801,plain,
    lhs_atom139,
    c_0_620,
    [final] ).

cnf(c_0_802,plain,
    lhs_atom138,
    c_0_621,
    [final] ).

cnf(c_0_803,plain,
    lhs_atom137,
    c_0_622,
    [final] ).

cnf(c_0_804,plain,
    lhs_atom136,
    c_0_623,
    [final] ).

cnf(c_0_805,plain,
    lhs_atom135,
    c_0_624,
    [final] ).

cnf(c_0_806,plain,
    lhs_atom134,
    c_0_625,
    [final] ).

cnf(c_0_807,plain,
    lhs_atom133,
    c_0_626,
    [final] ).

cnf(c_0_808,plain,
    lhs_atom132,
    c_0_627,
    [final] ).

cnf(c_0_809,plain,
    lhs_atom131,
    c_0_628,
    [final] ).

cnf(c_0_810,plain,
    lhs_atom130,
    c_0_629,
    [final] ).

cnf(c_0_811,plain,
    lhs_atom129,
    c_0_630,
    [final] ).

cnf(c_0_812,plain,
    lhs_atom128,
    c_0_631,
    [final] ).

cnf(c_0_813,plain,
    lhs_atom127,
    c_0_632,
    [final] ).

cnf(c_0_814,plain,
    lhs_atom126,
    c_0_633,
    [final] ).

cnf(c_0_815,plain,
    lhs_atom125,
    c_0_634,
    [final] ).

cnf(c_0_816,plain,
    lhs_atom124,
    c_0_635,
    [final] ).

cnf(c_0_817,plain,
    lhs_atom123,
    c_0_636,
    [final] ).

cnf(c_0_818,plain,
    lhs_atom122,
    c_0_637,
    [final] ).

cnf(c_0_819,plain,
    lhs_atom121,
    c_0_638,
    [final] ).

cnf(c_0_820,plain,
    lhs_atom120,
    c_0_639,
    [final] ).

cnf(c_0_821,plain,
    lhs_atom119,
    c_0_640,
    [final] ).

cnf(c_0_822,plain,
    lhs_atom118,
    c_0_641,
    [final] ).

cnf(c_0_823,plain,
    lhs_atom117,
    c_0_642,
    [final] ).

cnf(c_0_824,plain,
    lhs_atom116,
    c_0_643,
    [final] ).

cnf(c_0_825,plain,
    lhs_atom115,
    c_0_644,
    [final] ).

cnf(c_0_826,plain,
    lhs_atom114,
    c_0_645,
    [final] ).

cnf(c_0_827,plain,
    lhs_atom113,
    c_0_646,
    [final] ).

cnf(c_0_828,plain,
    lhs_atom112,
    c_0_647,
    [final] ).

cnf(c_0_829,plain,
    lhs_atom111,
    c_0_648,
    [final] ).

cnf(c_0_830,plain,
    lhs_atom110,
    c_0_649,
    [final] ).

cnf(c_0_831,plain,
    lhs_atom109,
    c_0_650,
    [final] ).

cnf(c_0_832,plain,
    lhs_atom108,
    c_0_651,
    [final] ).

cnf(c_0_833,plain,
    lhs_atom107,
    c_0_652,
    [final] ).

cnf(c_0_834,plain,
    lhs_atom106,
    c_0_653,
    [final] ).

cnf(c_0_835,plain,
    lhs_atom105,
    c_0_654,
    [final] ).

cnf(c_0_836,plain,
    lhs_atom104,
    c_0_655,
    [final] ).

cnf(c_0_837,plain,
    lhs_atom103,
    c_0_656,
    [final] ).

cnf(c_0_838,plain,
    lhs_atom102,
    c_0_657,
    [final] ).

cnf(c_0_839,plain,
    lhs_atom101,
    c_0_658,
    [final] ).

cnf(c_0_840,plain,
    lhs_atom100,
    c_0_659,
    [final] ).

cnf(c_0_841,plain,
    lhs_atom99,
    c_0_660,
    [final] ).

cnf(c_0_842,plain,
    lhs_atom98,
    c_0_661,
    [final] ).

cnf(c_0_843,plain,
    lhs_atom97,
    c_0_662,
    [final] ).

cnf(c_0_844,plain,
    lhs_atom96,
    c_0_663,
    [final] ).

cnf(c_0_845,plain,
    lhs_atom95,
    c_0_664,
    [final] ).

cnf(c_0_846,plain,
    lhs_atom94,
    c_0_665,
    [final] ).

cnf(c_0_847,plain,
    lhs_atom93,
    c_0_666,
    [final] ).

cnf(c_0_848,plain,
    lhs_atom92,
    c_0_667,
    [final] ).

cnf(c_0_849,plain,
    lhs_atom91,
    c_0_668,
    [final] ).

cnf(c_0_850,plain,
    lhs_atom90,
    c_0_669,
    [final] ).

cnf(c_0_851,plain,
    lhs_atom89,
    c_0_670,
    [final] ).

cnf(c_0_852,plain,
    lhs_atom88,
    c_0_671,
    [final] ).

cnf(c_0_853,plain,
    lhs_atom87,
    c_0_672,
    [final] ).

cnf(c_0_854,plain,
    lhs_atom86,
    c_0_673,
    [final] ).

cnf(c_0_855,plain,
    lhs_atom85,
    c_0_674,
    [final] ).

cnf(c_0_856,plain,
    lhs_atom84,
    c_0_675,
    [final] ).

cnf(c_0_857,plain,
    lhs_atom83,
    c_0_676,
    [final] ).

cnf(c_0_858,plain,
    lhs_atom82,
    c_0_677,
    [final] ).

cnf(c_0_859,plain,
    lhs_atom81,
    c_0_678,
    [final] ).

cnf(c_0_860,plain,
    lhs_atom80,
    c_0_679,
    [final] ).

cnf(c_0_861,plain,
    lhs_atom79,
    c_0_680,
    [final] ).

cnf(c_0_862,plain,
    lhs_atom78,
    c_0_681,
    [final] ).

cnf(c_0_863,plain,
    lhs_atom77,
    c_0_682,
    [final] ).

cnf(c_0_864,plain,
    lhs_atom76,
    c_0_683,
    [final] ).

cnf(c_0_865,plain,
    lhs_atom75,
    c_0_684,
    [final] ).

cnf(c_0_866,plain,
    lhs_atom74,
    c_0_685,
    [final] ).

cnf(c_0_867,plain,
    lhs_atom73,
    c_0_686,
    [final] ).

cnf(c_0_868,plain,
    lhs_atom72,
    c_0_687,
    [final] ).

cnf(c_0_869,plain,
    lhs_atom71,
    c_0_688,
    [final] ).

cnf(c_0_870,plain,
    lhs_atom70,
    c_0_689,
    [final] ).

cnf(c_0_871,plain,
    lhs_atom69,
    c_0_690,
    [final] ).

cnf(c_0_872,plain,
    lhs_atom68,
    c_0_691,
    [final] ).

cnf(c_0_873,plain,
    lhs_atom67,
    c_0_692,
    [final] ).

cnf(c_0_874,plain,
    lhs_atom66,
    c_0_693,
    [final] ).

cnf(c_0_875,plain,
    lhs_atom65,
    c_0_694,
    [final] ).

cnf(c_0_876,plain,
    lhs_atom64,
    c_0_695,
    [final] ).

cnf(c_0_877,plain,
    lhs_atom63,
    c_0_696,
    [final] ).

cnf(c_0_878,plain,
    lhs_atom62,
    c_0_697,
    [final] ).

cnf(c_0_879,plain,
    lhs_atom61,
    c_0_698,
    [final] ).

cnf(c_0_880,plain,
    lhs_atom60,
    c_0_699,
    [final] ).

cnf(c_0_881,plain,
    lhs_atom59,
    c_0_700,
    [final] ).

cnf(c_0_882,plain,
    lhs_atom58,
    c_0_701,
    [final] ).

cnf(c_0_883,plain,
    lhs_atom57,
    c_0_702,
    [final] ).

cnf(c_0_884,plain,
    lhs_atom56,
    c_0_703,
    [final] ).

cnf(c_0_885,plain,
    lhs_atom55,
    c_0_704,
    [final] ).

cnf(c_0_886,plain,
    lhs_atom54,
    c_0_705,
    [final] ).

cnf(c_0_887,plain,
    lhs_atom53,
    c_0_706,
    [final] ).

cnf(c_0_888,plain,
    lhs_atom52,
    c_0_707,
    [final] ).

cnf(c_0_889,plain,
    lhs_atom51,
    c_0_708,
    [final] ).

cnf(c_0_890,plain,
    lhs_atom50,
    c_0_709,
    [final] ).

cnf(c_0_891,plain,
    lhs_atom49,
    c_0_710,
    [final] ).

cnf(c_0_892,plain,
    lhs_atom48,
    c_0_711,
    [final] ).

cnf(c_0_893,plain,
    lhs_atom47,
    c_0_712,
    [final] ).

cnf(c_0_894,plain,
    lhs_atom46,
    c_0_713,
    [final] ).

cnf(c_0_895,plain,
    lhs_atom43,
    c_0_714,
    [final] ).

cnf(c_0_896,plain,
    lhs_atom41,
    c_0_715,
    [final] ).

cnf(c_0_897,plain,
    lhs_atom33,
    c_0_716,
    [final] ).

cnf(c_0_898,plain,
    lhs_atom24,
    c_0_717,
    [final] ).

cnf(c_0_899,plain,
    lhs_atom20,
    c_0_718,
    [final] ).

cnf(c_0_900,plain,
    lhs_atom19,
    c_0_719,
    [final] ).

cnf(c_0_901,plain,
    lhs_atom15,
    c_0_720,
    [final] ).

cnf(c_0_902,plain,
    lhs_atom13,
    c_0_721,
    [final] ).

cnf(c_0_903,plain,
    lhs_atom10,
    c_0_722,
    [final] ).

cnf(c_0_904,plain,
    lhs_atom2,
    c_0_723,
    [final] ).

% End CNF derivation
cnf(c_0_724_0,axiom,
    c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X4,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_724,def_lhs_atom16]) ).

cnf(c_0_725_0,axiom,
    c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_725,def_lhs_atom28]) ).

cnf(c_0_726_0,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X2,X1),tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_726,def_lhs_atom17]) ).

cnf(c_0_727_0,axiom,
    c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(X2),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_727,def_lhs_atom11]) ).

cnf(c_0_728_0,axiom,
    c_Transcendental_Oarctan(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oarctan(X1),tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_728,def_lhs_atom45]) ).

cnf(c_0_729_0,axiom,
    c_RealVector_Onorm__class_Onorm(c_Complex_Ocnj(X1),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_729,def_lhs_atom44]) ).

cnf(c_0_730_0,axiom,
    c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xth__1(X1,v_p,v_r,v_s____),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_730,def_lhs_atom42]) ).

cnf(c_0_731_0,axiom,
    c_Transcendental_Otan(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Otan(X1),tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_731,def_lhs_atom40]) ).

cnf(c_0_732_0,axiom,
    c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_732,def_lhs_atom39]) ).

cnf(c_0_733_0,axiom,
    c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_733,def_lhs_atom38]) ).

cnf(c_0_734_0,axiom,
    c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(X1),tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_734,def_lhs_atom37]) ).

cnf(c_0_735_0,axiom,
    c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_Transcendental_Ocos(X1),
    inference(unfold_definition,[status(thm)],[c_0_735,def_lhs_atom36]) ).

cnf(c_0_736_0,axiom,
    c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_g____(X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(X1),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_736,def_lhs_atom35]) ).

cnf(c_0_737_0,axiom,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_737,def_lhs_atom34]) ).

cnf(c_0_738_0,axiom,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(X1,tc_nat),tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_738,def_lhs_atom32]) ).

cnf(c_0_739_0,axiom,
    c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_739,def_lhs_atom31]) ).

cnf(c_0_740_0,axiom,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_740,def_lhs_atom30]) ).

cnf(c_0_741_0,axiom,
    ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_741,def_lhs_atom29]) ).

cnf(c_0_742_0,axiom,
    c_Transcendental_Otan(c_Transcendental_Oarctan(X1)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_742,def_lhs_atom27]) ).

cnf(c_0_743_0,axiom,
    ~ c_HOL_Oord__class_Oless(c_RealDef_Oreal(X1,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_743,def_lhs_atom26]) ).

cnf(c_0_744_0,axiom,
    c_Complex_Ocnj(c_Complex_Ocnj(X1)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_744,def_lhs_atom25]) ).

cnf(c_0_745_0,axiom,
    c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xth__1(X1,v_p,v_r,v_s____),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(X1),tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_745,def_lhs_atom23]) ).

cnf(c_0_746_0,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_746,def_lhs_atom22]) ).

cnf(c_0_747_0,axiom,
    c_Transcendental_Otan(X1) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(X1),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_747,def_lhs_atom21]) ).

cnf(c_0_748_0,axiom,
    c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Osin(X1),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_748,def_lhs_atom18]) ).

cnf(c_0_749_0,axiom,
    c_Transcendental_Ocos(c_Transcendental_Oarctan(X1)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_749,def_lhs_atom14]) ).

cnf(c_0_750_0,axiom,
    c_RealDef_Oreal(c_Suc(X1),tc_nat) = c_HOL_Oplus__class_Oplus(c_RealDef_Oreal(X1,tc_nat),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_750,def_lhs_atom12]) ).

cnf(c_0_751_0,axiom,
    c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X1),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_751,def_lhs_atom9]) ).

cnf(c_0_752_0,axiom,
    c_lessequals(c_Transcendental_Osin(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_752,def_lhs_atom8]) ).

cnf(c_0_753_0,axiom,
    c_lessequals(c_Transcendental_Ocos(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_753,def_lhs_atom7]) ).

cnf(c_0_754_0,axiom,
    X1 != c_Suc(X1),
    inference(unfold_definition,[status(thm)],[c_0_754,def_lhs_atom6]) ).

cnf(c_0_755_0,axiom,
    c_Suc(X1) != X1,
    inference(unfold_definition,[status(thm)],[c_0_755,def_lhs_atom5]) ).

cnf(c_0_756_0,axiom,
    c_lessequals(c_RealVector_Onorm__class_Onorm(v_g____(X1),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_756,def_lhs_atom4]) ).

cnf(c_0_757_0,axiom,
    c_HOL_Oabs__class_Oabs(c_RealDef_Oreal(X1,tc_nat),tc_RealDef_Oreal) = c_RealDef_Oreal(X1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_757,def_lhs_atom3]) ).

cnf(c_0_758_0,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(c_Suc(X1),tc_nat),tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_758,def_lhs_atom1]) ).

cnf(c_0_759_0,axiom,
    class_Int_Onumber__ring(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_759,def_lhs_atom181]) ).

cnf(c_0_760_0,axiom,
    class_Ring__and__Field_Odvd(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_760,def_lhs_atom180]) ).

cnf(c_0_761_0,axiom,
    class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_761,def_lhs_atom179]) ).

cnf(c_0_762_0,axiom,
    class_Ring__and__Field_Oring(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_762,def_lhs_atom178]) ).

cnf(c_0_763_0,axiom,
    class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_763,def_lhs_atom177]) ).

cnf(c_0_764_0,axiom,
    class_RealVector_Oreal__field(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_764,def_lhs_atom176]) ).

cnf(c_0_765_0,axiom,
    class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_765,def_lhs_atom175]) ).

cnf(c_0_766_0,axiom,
    class_RealVector_Oreal__vector(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_766,def_lhs_atom174]) ).

cnf(c_0_767_0,axiom,
    class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_767,def_lhs_atom173]) ).

cnf(c_0_768_0,axiom,
    class_RealVector_Oreal__algebra(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_768,def_lhs_atom172]) ).

cnf(c_0_769_0,axiom,
    class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_769,def_lhs_atom171]) ).

cnf(c_0_770_0,axiom,
    class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_770,def_lhs_atom170]) ).

cnf(c_0_771_0,axiom,
    class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_771,def_lhs_atom169]) ).

cnf(c_0_772_0,axiom,
    class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_772,def_lhs_atom168]) ).

cnf(c_0_773_0,axiom,
    class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_773,def_lhs_atom167]) ).

cnf(c_0_774_0,axiom,
    class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_774,def_lhs_atom166]) ).

cnf(c_0_775_0,axiom,
    class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_775,def_lhs_atom165]) ).

cnf(c_0_776_0,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_776,def_lhs_atom164]) ).

cnf(c_0_777_0,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_777,def_lhs_atom163]) ).

cnf(c_0_778_0,axiom,
    class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_778,def_lhs_atom162]) ).

cnf(c_0_779_0,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_779,def_lhs_atom161]) ).

cnf(c_0_780_0,axiom,
    class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_780,def_lhs_atom160]) ).

cnf(c_0_781_0,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_781,def_lhs_atom159]) ).

cnf(c_0_782_0,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_782,def_lhs_atom158]) ).

cnf(c_0_783_0,axiom,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_783,def_lhs_atom157]) ).

cnf(c_0_784_0,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_784,def_lhs_atom156]) ).

cnf(c_0_785_0,axiom,
    class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_785,def_lhs_atom155]) ).

cnf(c_0_786_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_786,def_lhs_atom154]) ).

cnf(c_0_787_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_787,def_lhs_atom153]) ).

cnf(c_0_788_0,axiom,
    class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_788,def_lhs_atom152]) ).

cnf(c_0_789_0,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_789,def_lhs_atom151]) ).

cnf(c_0_790_0,axiom,
    class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_790,def_lhs_atom150]) ).

cnf(c_0_791_0,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_791,def_lhs_atom149]) ).

cnf(c_0_792_0,axiom,
    class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_792,def_lhs_atom148]) ).

cnf(c_0_793_0,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_793,def_lhs_atom147]) ).

cnf(c_0_794_0,axiom,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_794,def_lhs_atom146]) ).

cnf(c_0_795_0,axiom,
    class_Int_Onumber__ring(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_795,def_lhs_atom145]) ).

cnf(c_0_796_0,axiom,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_796,def_lhs_atom144]) ).

cnf(c_0_797_0,axiom,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_797,def_lhs_atom143]) ).

cnf(c_0_798_0,axiom,
    class_Orderings_Opreorder(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_798,def_lhs_atom142]) ).

cnf(c_0_799_0,axiom,
    class_Ring__and__Field_Odvd(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_799,def_lhs_atom141]) ).

cnf(c_0_800_0,axiom,
    class_Ring__and__Field_Oidom(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_800,def_lhs_atom140]) ).

cnf(c_0_801_0,axiom,
    class_Ring__and__Field_Oring(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_801,def_lhs_atom139]) ).

cnf(c_0_802_0,axiom,
    class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_802,def_lhs_atom138]) ).

cnf(c_0_803_0,axiom,
    class_RealVector_Oreal__field(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_803,def_lhs_atom137]) ).

cnf(c_0_804_0,axiom,
    class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_804,def_lhs_atom136]) ).

cnf(c_0_805_0,axiom,
    class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_805,def_lhs_atom135]) ).

cnf(c_0_806_0,axiom,
    class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_806,def_lhs_atom134]) ).

cnf(c_0_807_0,axiom,
    class_RealVector_Oreal__vector(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_807,def_lhs_atom133]) ).

cnf(c_0_808_0,axiom,
    class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_808,def_lhs_atom132]) ).

cnf(c_0_809_0,axiom,
    class_RealVector_Oreal__algebra(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_809,def_lhs_atom131]) ).

cnf(c_0_810_0,axiom,
    class_Ring__and__Field_Osemiring(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_810,def_lhs_atom130]) ).

cnf(c_0_811_0,axiom,
    class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_811,def_lhs_atom129]) ).

cnf(c_0_812_0,axiom,
    class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_812,def_lhs_atom128]) ).

cnf(c_0_813_0,axiom,
    class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_813,def_lhs_atom127]) ).

cnf(c_0_814_0,axiom,
    class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_814,def_lhs_atom126]) ).

cnf(c_0_815_0,axiom,
    class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_815,def_lhs_atom125]) ).

cnf(c_0_816_0,axiom,
    class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_816,def_lhs_atom124]) ).

cnf(c_0_817_0,axiom,
    class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_817,def_lhs_atom123]) ).

cnf(c_0_818_0,axiom,
    class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_818,def_lhs_atom122]) ).

cnf(c_0_819_0,axiom,
    class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_819,def_lhs_atom121]) ).

cnf(c_0_820_0,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_820,def_lhs_atom120]) ).

cnf(c_0_821_0,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_821,def_lhs_atom119]) ).

cnf(c_0_822_0,axiom,
    class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_822,def_lhs_atom118]) ).

cnf(c_0_823_0,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_823,def_lhs_atom117]) ).

cnf(c_0_824_0,axiom,
    class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_824,def_lhs_atom116]) ).

cnf(c_0_825_0,axiom,
    class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_825,def_lhs_atom115]) ).

cnf(c_0_826_0,axiom,
    class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_826,def_lhs_atom114]) ).

cnf(c_0_827_0,axiom,
    class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_827,def_lhs_atom113]) ).

cnf(c_0_828_0,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_828,def_lhs_atom112]) ).

cnf(c_0_829_0,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_829,def_lhs_atom111]) ).

cnf(c_0_830_0,axiom,
    class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_830,def_lhs_atom110]) ).

cnf(c_0_831_0,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_831,def_lhs_atom109]) ).

cnf(c_0_832_0,axiom,
    class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_832,def_lhs_atom108]) ).

cnf(c_0_833_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_833,def_lhs_atom107]) ).

cnf(c_0_834_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_834,def_lhs_atom106]) ).

cnf(c_0_835_0,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_835,def_lhs_atom105]) ).

cnf(c_0_836_0,axiom,
    class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_836,def_lhs_atom104]) ).

cnf(c_0_837_0,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_837,def_lhs_atom103]) ).

cnf(c_0_838_0,axiom,
    class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_838,def_lhs_atom102]) ).

cnf(c_0_839_0,axiom,
    class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_839,def_lhs_atom101]) ).

cnf(c_0_840_0,axiom,
    class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_840,def_lhs_atom100]) ).

cnf(c_0_841_0,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_841,def_lhs_atom99]) ).

cnf(c_0_842_0,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_842,def_lhs_atom98]) ).

cnf(c_0_843_0,axiom,
    class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_843,def_lhs_atom97]) ).

cnf(c_0_844_0,axiom,
    class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_844,def_lhs_atom96]) ).

cnf(c_0_845_0,axiom,
    class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_845,def_lhs_atom95]) ).

cnf(c_0_846_0,axiom,
    class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_846,def_lhs_atom94]) ).

cnf(c_0_847_0,axiom,
    class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_847,def_lhs_atom93]) ).

cnf(c_0_848_0,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_848,def_lhs_atom92]) ).

cnf(c_0_849_0,axiom,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_849,def_lhs_atom91]) ).

cnf(c_0_850_0,axiom,
    class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_850,def_lhs_atom90]) ).

cnf(c_0_851_0,axiom,
    class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_851,def_lhs_atom89]) ).

cnf(c_0_852_0,axiom,
    class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_852,def_lhs_atom88]) ).

cnf(c_0_853_0,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_853,def_lhs_atom87]) ).

cnf(c_0_854_0,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_854,def_lhs_atom86]) ).

cnf(c_0_855_0,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_855,def_lhs_atom85]) ).

cnf(c_0_856_0,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_856,def_lhs_atom84]) ).

cnf(c_0_857_0,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_857,def_lhs_atom83]) ).

cnf(c_0_858_0,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_858,def_lhs_atom82]) ).

cnf(c_0_859_0,axiom,
    class_Orderings_Oorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_859,def_lhs_atom81]) ).

cnf(c_0_860_0,axiom,
    class_Orderings_Olinorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_860,def_lhs_atom80]) ).

cnf(c_0_861_0,axiom,
    class_Orderings_Opreorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_861,def_lhs_atom79]) ).

cnf(c_0_862_0,axiom,
    class_Ring__and__Field_Odvd(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_862,def_lhs_atom78]) ).

cnf(c_0_863_0,axiom,
    class_Divides_Osemiring__div(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_863,def_lhs_atom77]) ).

cnf(c_0_864_0,axiom,
    class_OrderedGroup_Omonoid__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_864,def_lhs_atom76]) ).

cnf(c_0_865_0,axiom,
    class_Ring__and__Field_Osemiring(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_865,def_lhs_atom75]) ).

cnf(c_0_866_0,axiom,
    class_OrderedGroup_Omonoid__mult(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_866,def_lhs_atom74]) ).

cnf(c_0_867_0,axiom,
    class_Ring__and__Field_Omult__mono(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_867,def_lhs_atom73]) ).

cnf(c_0_868_0,axiom,
    class_Ring__and__Field_Omult__zero(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_868,def_lhs_atom72]) ).

cnf(c_0_869_0,axiom,
    class_Ring__and__Field_Omult__mono1(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_869,def_lhs_atom71]) ).

cnf(c_0_870_0,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_870,def_lhs_atom70]) ).

cnf(c_0_871_0,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_871,def_lhs_atom69]) ).

cnf(c_0_872_0,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_872,def_lhs_atom68]) ).

cnf(c_0_873_0,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_873,def_lhs_atom67]) ).

cnf(c_0_874_0,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_874,def_lhs_atom66]) ).

cnf(c_0_875_0,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_875,def_lhs_atom65]) ).

cnf(c_0_876_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_876,def_lhs_atom64]) ).

cnf(c_0_877_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_877,def_lhs_atom63]) ).

cnf(c_0_878_0,axiom,
    class_Ring__and__Field_Oordered__semidom(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_878,def_lhs_atom62]) ).

cnf(c_0_879_0,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_879,def_lhs_atom61]) ).

cnf(c_0_880_0,axiom,
    class_Ring__and__Field_Oordered__semiring(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_880,def_lhs_atom60]) ).

cnf(c_0_881_0,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_881,def_lhs_atom59]) ).

cnf(c_0_882_0,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_882,def_lhs_atom58]) ).

cnf(c_0_883_0,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_883,def_lhs_atom57]) ).

cnf(c_0_884_0,axiom,
    class_OrderedGroup_Opordered__comm__monoid__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_884,def_lhs_atom56]) ).

cnf(c_0_885_0,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_885,def_lhs_atom55]) ).

cnf(c_0_886_0,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_886,def_lhs_atom54]) ).

cnf(c_0_887_0,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_887,def_lhs_atom53]) ).

cnf(c_0_888_0,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_888,def_lhs_atom52]) ).

cnf(c_0_889_0,axiom,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_889,def_lhs_atom51]) ).

cnf(c_0_890_0,axiom,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_890,def_lhs_atom50]) ).

cnf(c_0_891_0,axiom,
    class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_891,def_lhs_atom49]) ).

cnf(c_0_892_0,axiom,
    class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_892,def_lhs_atom48]) ).

cnf(c_0_893_0,axiom,
    class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_893,def_lhs_atom47]) ).

cnf(c_0_894_0,axiom,
    c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_894,def_lhs_atom46]) ).

cnf(c_0_895_0,axiom,
    c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xmth1__2(v_p,v_r),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(v_sko__local__Xmth1__1(v_p,v_r),tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_895,def_lhs_atom43]) ).

cnf(c_0_896_0,axiom,
    c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xmth1__2(v_p,v_r),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_896,def_lhs_atom41]) ).

cnf(c_0_897_0,axiom,
    c_NthRoot_Osqrt(c_HOL_Oone__class_Oone(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_897,def_lhs_atom33]) ).

cnf(c_0_898_0,axiom,
    c_Transcendental_Otan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_898,def_lhs_atom24]) ).

cnf(c_0_899_0,axiom,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_899,def_lhs_atom20]) ).

cnf(c_0_900_0,axiom,
    c_Transcendental_Ocos(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_900,def_lhs_atom19]) ).

cnf(c_0_901_0,axiom,
    c_Transcendental_Oarctan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_901,def_lhs_atom15]) ).

cnf(c_0_902_0,axiom,
    c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_902,def_lhs_atom13]) ).

cnf(c_0_903_0,axiom,
    c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_903,def_lhs_atom10]) ).

cnf(c_0_904_0,axiom,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_904,def_lhs_atom2]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X7,X5,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X5,X7,X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X3,X4),c_HOL_Ominus__class_Ominus(X7,X2,X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X3,X4),X2,X4),X4),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ominus__class_Ominus(X7,X2,X4),X4),X4) ),
    file('<stdin>',cls_mult_Oprod__diff__prod_0) ).

fof(c_0_1_002,axiom,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Oplus__class_Oplus(X16,X17,X4),X4),X4),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X16,X4),X4),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X17,X4),X4),X4),X4) ),
    file('<stdin>',cls_abs__diff__triangle__ineq_0) ).

fof(c_0_2_003,axiom,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Oplus__class_Oplus(X16,X17,X4),X4),X4),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X3,X16,X4),X4),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X17,X4),X4),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__diff__triangle__ineq_0) ).

fof(c_0_3_004,axiom,
    ! [X30,X17,X16,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__field(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Otimes__class_Otimes(X16,X17,X4),X4),X30,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X17,X4),X30,X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X3,X16,X4),X30,X4),X17,X4),X4) ),
    file('<stdin>',cls_DERIV__mult__lemma_0) ).

fof(c_0_4_005,axiom,
    ! [X30,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__field(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4),X30,X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X3,X2,X4),X30,X4),X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4),X4)
      | X2 = c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_DERIV__inverse__lemma_0) ).

fof(c_0_5_006,axiom,
    ! [X24,X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring(X4)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X24,X4),X16,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X24,X4),X17,X4),X4)
      | ~ c_lessequals(X16,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X24,X4),X17,X4),X4) ),
    file('<stdin>',cls_le__add__iff2_1) ).

fof(c_0_6_007,axiom,
    ! [X24,X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring(X4)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X24,X4),X16,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X24,X4),X17,X4),X4)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X4),X24,X4),X16,X4),X17,X4) ),
    file('<stdin>',cls_le__add__iff1_1) ).

fof(c_0_7_008,axiom,
    ! [X24,X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X24,X4),X16,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X24,X4),X17,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X4),X24,X4),X16,X4),X17,X4) ),
    file('<stdin>',cls_less__add__iff1_1) ).

fof(c_0_8_009,axiom,
    ! [X24,X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X24,X4),X16,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X24,X4),X17,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X24,X4),X17,X4),X4) ),
    file('<stdin>',cls_less__add__iff2_1) ).

fof(c_0_9_010,axiom,
    ! [X24,X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring(X4)
      | c_lessequals(X16,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X24,X4),X17,X4),X4)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X24,X4),X16,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X24,X4),X17,X4),X4) ),
    file('<stdin>',cls_le__add__iff2_0) ).

fof(c_0_10_011,axiom,
    ! [X24,X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring(X4)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X4),X24,X4),X16,X4),X17,X4)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X24,X4),X16,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X24,X4),X17,X4),X4) ),
    file('<stdin>',cls_le__add__iff1_0) ).

fof(c_0_11_012,axiom,
    ! [X24,X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X4),X24,X4),X16,X4),X17,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X24,X4),X16,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X24,X4),X17,X4),X4) ),
    file('<stdin>',cls_less__add__iff1_0) ).

fof(c_0_12_013,axiom,
    ! [X24,X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring(X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X24,X4),X17,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X24,X4),X16,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X24,X4),X17,X4),X4) ),
    file('<stdin>',cls_less__add__iff2_0) ).

fof(c_0_13_014,axiom,
    ! [X5,X39,X15,X17,X40,X4] :
      ( ~ class_Ring__and__Field_Odvd(X4)
      | ~ class_Ring__and__Field_Ocomm__ring(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X17,c_HOL_Oplus__class_Oplus(X5,X39,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X17,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X5,c_HOL_Otimes__class_Otimes(X15,X40,X4),X4),X39,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X17,X40,X4) ),
    file('<stdin>',cls_inf__period_I4_J_1) ).

fof(c_0_14_015,axiom,
    ! [X5,X39,X15,X17,X40,X4] :
      ( ~ class_Ring__and__Field_Odvd(X4)
      | ~ class_Ring__and__Field_Ocomm__ring(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X17,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X5,c_HOL_Otimes__class_Otimes(X15,X40,X4),X4),X39,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X17,c_HOL_Oplus__class_Oplus(X5,X39,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X17,X40,X4) ),
    file('<stdin>',cls_inf__period_I4_J_0) ).

fof(c_0_15_016,axiom,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),X4),X4) ),
    file('<stdin>',cls_sum__squares__gt__zero__iff_0) ).

fof(c_0_16_017,axiom,
    ! [X24,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oring(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X24,X4),X16,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X24,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X4),X24,X4),X16,X4),X4) ),
    file('<stdin>',cls_eq__add__iff1_1) ).

fof(c_0_17_018,axiom,
    ! [X24,X17,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oring(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X24,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X24,X4),X17,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X24,X4),X17,X4) ),
    file('<stdin>',cls_eq__add__iff2_1) ).

fof(c_0_18_019,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Ominus__class_Ominus(X3,X2,X4),X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4),X4)
      | X2 = c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_Deriv_Oinverse__diff__inverse_0) ).

fof(c_0_19_020,axiom,
    ! [X6,X7,X5,X10,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Oinverse__class_Odivide(X10,X6,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X5,X6,X4),c_HOL_Otimes__class_Otimes(X10,X7,X4),X4),c_HOL_Otimes__class_Otimes(X7,X6,X4),X4)
      | X6 = c_HOL_Ozero__class_Ozero(X4)
      | X7 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_diff__frac__eq_0) ).

fof(c_0_20_021,axiom,
    ! [X6,X7,X5,X10,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Oinverse__class_Odivide(X10,X6,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X6,X4),c_HOL_Otimes__class_Otimes(X10,X7,X4),X4),c_HOL_Otimes__class_Otimes(X7,X6,X4),X4)
      | X6 = c_HOL_Ozero__class_Ozero(X4)
      | X7 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_add__frac__eq_0) ).

fof(c_0_21_022,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | X7 = c_HOL_Ozero__class_Ozero(X4)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_sum__squares__le__zero__iff_1) ).

fof(c_0_22_023,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | X5 = c_HOL_Ozero__class_Ozero(X4)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_sum__squares__le__zero__iff_0) ).

fof(c_0_23_024,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_not__sum__squares__lt__zero_0) ).

fof(c_0_24_025,axiom,
    ! [X24,X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oring(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X24,X4),X16,X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X24,X4),X17,X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X4),X24,X4),X16,X4) = X17 ),
    file('<stdin>',cls_eq__add__iff1_0) ).

fof(c_0_25_026,axiom,
    ! [X24,X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oring(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X24,X4),X16,X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X24,X4),X17,X4)
      | X16 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X24,X4),X17,X4) ),
    file('<stdin>',cls_eq__add__iff2_0) ).

fof(c_0_26_027,axiom,
    ! [X24,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Osemiring(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X24,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X24,X4),X16,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X2,X4),X24,X4),X16,X4) ),
    file('<stdin>',cls_combine__common__factor_0) ).

fof(c_0_27_028,axiom,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | ~ class_Int_Onumber__ring(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X17,X4),X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X17,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
      | X16 = X17
      | X3 = X2 ),
    file('<stdin>',cls_class__ringb_Onoteq__reduce_0) ).

fof(c_0_28_029,axiom,
    ! [X6,X7,X5,X10,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | ~ class_Int_Onumber__ring(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X7,X4),c_HOL_Otimes__class_Otimes(X5,X6,X4),X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X6,X4),c_HOL_Otimes__class_Otimes(X5,X7,X4),X4)
      | X7 = X6
      | X10 = X5 ),
    file('<stdin>',cls_class__ringb_Oadd__mul__solve_0) ).

fof(c_0_29_030,axiom,
    ! [X5,X11,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X3,X4),X4),X11,X4)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oplus__class_Oplus(X3,X11,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X3,X11,X4),X5,X4) ),
    file('<stdin>',cls_abs__diff__less__iff_2) ).

fof(c_0_30_031,axiom,
    ! [X7] :
      ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xs1__1(v_p,v_r,X7),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X7,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    file('<stdin>',cls_s1_2) ).

fof(c_0_31_032,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4) ),
    file('<stdin>',cls_divide__less__eq_8) ).

fof(c_0_32_033,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4) ),
    file('<stdin>',cls_divide__less__eq_9) ).

fof(c_0_33_034,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4) ),
    file('<stdin>',cls_less__divide__eq_8) ).

fof(c_0_34_035,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4) ),
    file('<stdin>',cls_less__divide__eq_9) ).

fof(c_0_35_036,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4) ),
    file('<stdin>',cls_le__divide__eq_8) ).

fof(c_0_36_037,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4)
      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4) ),
    file('<stdin>',cls_divide__le__eq_8) ).

fof(c_0_37_038,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4) ),
    file('<stdin>',cls_le__divide__eq_9) ).

fof(c_0_38_039,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4)
      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4) ),
    file('<stdin>',cls_divide__le__eq_9) ).

fof(c_0_39_040,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Oring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X3,X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X3,X16,X4),c_Divides_Odiv__class_Omod(X2,X16,X4),X4),X16,X4) ),
    file('<stdin>',cls_mod__diff__eq_0) ).

fof(c_0_40_041,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X3,X16,X4),c_Divides_Odiv__class_Omod(X2,X16,X4),X4),X16,X4) ),
    file('<stdin>',cls_mod__add__eq_0) ).

fof(c_0_41_042,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X3,X16,X4),c_Divides_Odiv__class_Omod(X2,X16,X4),X4),X16,X4) ),
    file('<stdin>',cls_mod__mult__eq_0) ).

fof(c_0_42_043,axiom,
    ! [X10] :
      ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__unknown__thm__rcM__1(v_p,v_r),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X10,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X10,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal) ),
    file('<stdin>',cls_calculation_0) ).

fof(c_0_43_044,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),X4),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4),X4) ),
    file('<stdin>',cls_abs__triangle__ineq3_0) ).

fof(c_0_44_045,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X4),c_HOL_Oone__class_Oone(X4),X4),X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    file('<stdin>',cls_gt__half__sum_0) ).

fof(c_0_45_046,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X4),c_HOL_Oone__class_Oone(X4),X4),X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    file('<stdin>',cls_less__half__sum_0) ).

fof(c_0_46_047,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X16,X3,X4),c_HOL_Oinverse__class_Odivide(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
      | ~ c_lessequals(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,X2,X4) ),
    file('<stdin>',cls_divide__left__mono__neg_0) ).

fof(c_0_47_048,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X16,X3,X4),c_HOL_Oinverse__class_Odivide(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(X2,X3,X4) ),
    file('<stdin>',cls_divide__left__mono_0) ).

fof(c_0_48_049,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X16,X3,X4),c_HOL_Oinverse__class_Odivide(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(X2,X3,X4) ),
    file('<stdin>',cls_divide__strict__left__mono_0) ).

fof(c_0_49_050,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X16,X3,X4),c_HOL_Oinverse__class_Odivide(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    file('<stdin>',cls_divide__strict__left__mono__neg_0) ).

fof(c_0_50_051,axiom,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_sum__squares__le__zero__iff_2) ).

fof(c_0_51_052,axiom,
    ! [X16,X23,X2,X13,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(X2,X16,X4) != c_Divides_Odiv__class_Omod(X23,X16,X4)
      | c_Divides_Odiv__class_Omod(X3,X16,X4) != c_Divides_Odiv__class_Omod(X13,X16,X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X13,X23,X4),X16,X4) ),
    file('<stdin>',cls_mod__add__cong_0) ).

fof(c_0_52_053,axiom,
    ! [X16,X23,X2,X13,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(X2,X16,X4) != c_Divides_Odiv__class_Omod(X23,X16,X4)
      | c_Divides_Odiv__class_Omod(X3,X16,X4) != c_Divides_Odiv__class_Omod(X13,X16,X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X13,X23,X4),X16,X4) ),
    file('<stdin>',cls_mod__mult__cong_0) ).

fof(c_0_53_054,axiom,
    ! [X16,X23,X2,X13,X3,X4] :
      ( ~ class_Divides_Oring__div(X4)
      | c_Divides_Odiv__class_Omod(X2,X16,X4) != c_Divides_Odiv__class_Omod(X23,X16,X4)
      | c_Divides_Odiv__class_Omod(X3,X16,X4) != c_Divides_Odiv__class_Omod(X13,X16,X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X3,X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X13,X23,X4),X16,X4) ),
    file('<stdin>',cls_mod__diff__cong_0) ).

fof(c_0_54_055,axiom,
    ! [X7,X5,X36,X11,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X5,X7,X4),X4),c_HOL_Oplus__class_Oplus(X11,X36,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X7,X4),X36,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X5,X4),X11,tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__add__less_0) ).

fof(c_0_55_056,axiom,
    ! [X32,X33,X34,X35,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X35,X34,X4),c_HOL_Otimes__class_Otimes(X33,X32,X4),X4) = c_HOL_Otimes__class_Otimes(X33,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X35,X34,X4),X32,X4),X4) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I15_J_0) ).

fof(c_0_56_057,axiom,
    ! [X32,X33,X34,X35,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X35,X34,X4),c_HOL_Otimes__class_Otimes(X33,X32,X4),X4) = c_HOL_Otimes__class_Otimes(X35,c_HOL_Otimes__class_Otimes(X34,c_HOL_Otimes__class_Otimes(X33,X32,X4),X4),X4) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I14_J_0) ).

fof(c_0_57_058,axiom,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X17,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(X16,X17,X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    file('<stdin>',cls_mult__strict__mono_H_0) ).

fof(c_0_58_059,axiom,
    ! [X6,X7,X5,X10,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X6,X4),c_HOL_Oinverse__class_Odivide(X7,X10,X4),X4)
      | ~ c_lessequals(X10,X6,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X10,X4)
      | ~ c_HOL_Oord__class_Oless(X5,X7,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
    file('<stdin>',cls_frac__less_0) ).

fof(c_0_59_060,axiom,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X17,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(X16,X17,X4)
      | ~ c_lessequals(X3,X2,X4) ),
    file('<stdin>',cls_mult__mono_0) ).

fof(c_0_60_061,axiom,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X17,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(X16,X17,X4)
      | ~ c_lessequals(X3,X2,X4) ),
    file('<stdin>',cls_mult__mono_H_0) ).

fof(c_0_61_062,axiom,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X17,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(X16,X17,X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    file('<stdin>',cls_mult__strict__mono_0) ).

fof(c_0_62_063,axiom,
    ! [X6,X7,X5,X10,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X6,X4),c_HOL_Oinverse__class_Odivide(X7,X10,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X10,X6,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X10,X4)
      | ~ c_lessequals(X5,X7,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
    file('<stdin>',cls_frac__less2_0) ).

fof(c_0_63_064,axiom,
    ! [X6,X7,X5,X10,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X6,X4),c_HOL_Oinverse__class_Odivide(X7,X10,X4),X4)
      | ~ c_lessequals(X10,X6,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X10,X4)
      | ~ c_lessequals(X5,X7,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
    file('<stdin>',cls_frac__le_0) ).

fof(c_0_64_065,axiom,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X17,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(X16,X17,X4)
      | ~ c_lessequals(X3,X2,X4) ),
    file('<stdin>',cls_mult__le__less__imp__less_0) ).

fof(c_0_65_066,axiom,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X17,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(X16,X17,X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    file('<stdin>',cls_mult__less__le__imp__less_0) ).

fof(c_0_66_067,axiom,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),c_HOL_Otimes__class_Otimes(X16,X17,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X4),X17,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X4),X16,X4) ),
    file('<stdin>',cls_abs__mult__less_0) ).

fof(c_0_67_068,axiom,
    ! [X5,X11,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X3,X11,X4),X5,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X3,X4),X4),X11,X4) ),
    file('<stdin>',cls_abs__diff__less__iff_0) ).

fof(c_0_68_069,axiom,
    ! [X5,X11,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Oplus__class_Oplus(X3,X11,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X3,X4),X4),X11,X4) ),
    file('<stdin>',cls_abs__diff__less__iff_1) ).

fof(c_0_69_070,axiom,
    ! [X7,X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X7,tc_RealDef_Oreal)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X5,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
    file('<stdin>',cls_s1_0) ).

fof(c_0_70_071,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4),X4)
      | X7 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_sum__squares__gt__zero__iff_2) ).

fof(c_0_71_072,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4),X4)
      | X5 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_sum__squares__gt__zero__iff_1) ).

fof(c_0_72_073,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4),X4) ),
    file('<stdin>',cls_sum__squares__ge__zero_0) ).

fof(c_0_73_074,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    file('<stdin>',cls_divide__le__eq_5) ).

fof(c_0_74_075,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4) ),
    file('<stdin>',cls_divide__le__eq_7) ).

fof(c_0_75_076,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    file('<stdin>',cls_le__divide__eq_5) ).

fof(c_0_76_077,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4) ),
    file('<stdin>',cls_le__divide__eq_7) ).

fof(c_0_77_078,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4) ),
    file('<stdin>',cls_divide__less__eq_1) ).

fof(c_0_78_079,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    file('<stdin>',cls_divide__less__eq_4) ).

fof(c_0_79_080,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    file('<stdin>',cls_divide__less__eq_5) ).

fof(c_0_80_081,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4) ),
    file('<stdin>',cls_divide__less__eq_7) ).

fof(c_0_81_082,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4) ),
    file('<stdin>',cls_less__divide__eq_1) ).

fof(c_0_82_083,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    file('<stdin>',cls_less__divide__eq_4) ).

fof(c_0_83_084,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    file('<stdin>',cls_less__divide__eq_5) ).

fof(c_0_84_085,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4) ),
    file('<stdin>',cls_less__divide__eq_7) ).

fof(c_0_85_086,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4) ),
    file('<stdin>',cls_divide__le__eq_1) ).

fof(c_0_86_087,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    file('<stdin>',cls_divide__le__eq_4) ).

fof(c_0_87_088,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4) ),
    file('<stdin>',cls_le__divide__eq_1) ).

fof(c_0_88_089,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    file('<stdin>',cls_le__divide__eq_4) ).

fof(c_0_89_090,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) ),
    file('<stdin>',cls_mult__less__imp__less__right_0) ).

fof(c_0_90_091,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4) ),
    file('<stdin>',cls_mult__less__imp__less__left_0) ).

fof(c_0_91_092,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring(X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) ),
    file('<stdin>',cls_mult__right__less__imp__less_0) ).

fof(c_0_92_093,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring(X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4) ),
    file('<stdin>',cls_mult__left__less__imp__less_0) ).

fof(c_0_93_094,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_lessequals(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) ),
    file('<stdin>',cls_mult__right__le__imp__le_0) ).

fof(c_0_94_095,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_lessequals(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4) ),
    file('<stdin>',cls_mult__left__le__imp__le_0) ).

fof(c_0_95_096,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(X3,X2,X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    file('<stdin>',cls_mult__le__cancel__left__pos_0) ).

fof(c_0_96_097,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(X2,X3,X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_mult__le__cancel__left__neg_0) ).

fof(c_0_97_098,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    file('<stdin>',cls_mult__less__cancel__left__pos_0) ).

fof(c_0_98_099,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(X2,X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_mult__less__cancel__left__neg_0) ).

fof(c_0_99_100,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Oinverse__class_Oinverse(X3,X4),X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4)
      | X2 = c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_inverse__add_0) ).

fof(c_0_100_101,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Oplus__class_Oplus(X3,X2,X4),X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4)
      | X2 = c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_division__ring__inverse__add_0) ).

fof(c_0_101_102,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Ominus__class_Ominus(X2,X3,X4),X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4)
      | X2 = c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_division__ring__inverse__diff_0) ).

fof(c_0_102_103,axiom,
    ! [X6,X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,X7,X4),X6,X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X6,X7,X4),X4),X7,X4)
      | X7 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_add__frac__num_0) ).

fof(c_0_103_104,axiom,
    ! [X6,X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oplus__class_Oplus(X6,c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X6,X7,X4),X4),X7,X4)
      | X7 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_add__num__frac_0) ).

fof(c_0_104_105,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4) ),
    file('<stdin>',cls_mult__less__cancel__left__disj_0) ).

fof(c_0_105_106,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) ),
    file('<stdin>',cls_mult__less__cancel__right__disj_0) ).

fof(c_0_106_107,axiom,
    ! [X6,X7,X5,X10,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Oinverse__class_Odivide(X6,X10,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X5,X6,X4),c_HOL_Otimes__class_Otimes(X7,X10,X4),X4) ),
    file('<stdin>',cls_mult__frac__frac_0) ).

fof(c_0_107_108,axiom,
    ! [X6,X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | ~ class_Int_Onumber__ring(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X7,X4),c_HOL_Otimes__class_Otimes(X5,X6,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X6,X4),c_HOL_Otimes__class_Otimes(X5,X7,X4),X4) ),
    file('<stdin>',cls_class__ringb_Oadd__mul__solve_1) ).

fof(c_0_108_109,axiom,
    ! [X5,X17,X16,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | ~ class_Int_Onumber__ring(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X16,X4),c_HOL_Otimes__class_Otimes(X5,X17,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X17,X4),c_HOL_Otimes__class_Otimes(X5,X16,X4),X4) ),
    file('<stdin>',cls_class__ringb_Onoteq__reduce_1) ).

fof(c_0_109_110,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(X2,X3,X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4) ),
    file('<stdin>',cls_mult__less__cancel__left__disj_1) ).

fof(c_0_110_111,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4) ),
    file('<stdin>',cls_mult__less__cancel__left__disj_2) ).

fof(c_0_111_112,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(X2,X3,X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) ),
    file('<stdin>',cls_mult__less__cancel__right__disj_1) ).

fof(c_0_112_113,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) ),
    file('<stdin>',cls_mult__less__cancel__right__disj_2) ).

fof(c_0_113_114,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X3,X16,X4),X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) ),
    file('<stdin>',cls_zmod__simps_I1_J_0) ).

fof(c_0_114_115,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Omod(X2,X16,X4),X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) ),
    file('<stdin>',cls_zmod__simps_I2_J_0) ).

fof(c_0_115_116,axiom,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Oplus__class_Oplus(X16,X17,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X16,X4),c_HOL_Oplus__class_Oplus(X2,X17,X4),X4) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I20_J_0) ).

fof(c_0_116_117,axiom,
    ! [X32,X33,X34,X35,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X35,X34,X4),c_HOL_Otimes__class_Otimes(X33,X32,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X35,X33,X4),c_HOL_Otimes__class_Otimes(X34,X32,X4),X4) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I13_J_0) ).

fof(c_0_117_118,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Oring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X3,X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X3,X16,X4),X2,X4),X16,X4) ),
    file('<stdin>',cls_mod__diff__left__eq_0) ).

fof(c_0_118_119,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Oring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X3,X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X3,c_Divides_Odiv__class_Omod(X2,X16,X4),X4),X16,X4) ),
    file('<stdin>',cls_mod__diff__right__eq_0) ).

fof(c_0_119_120,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X3,X16,X4),X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,X2,X4),X16,X4) ),
    file('<stdin>',cls_zmod__simps_I4_J_0) ).

fof(c_0_120_121,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Omod(X2,X16,X4),X4),X16,X4) ),
    file('<stdin>',cls_mod__add__right__eq_0) ).

fof(c_0_121_122,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X3,X16,X4),X2,X4),X16,X4) ),
    file('<stdin>',cls_mod__add__left__eq_0) ).

fof(c_0_122_123,axiom,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X16,X4),c_HOL_Oplus__class_Oplus(X2,X17,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X3,X2,X4),c_HOL_Ominus__class_Ominus(X16,X17,X4),X4) ),
    file('<stdin>',cls_Deriv_Oadd__diff__add_0) ).

fof(c_0_123_124,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,c_Divides_Odiv__class_Omod(X2,X16,X4),X4),X16,X4) ),
    file('<stdin>',cls_mod__mult__right__eq_0) ).

fof(c_0_124_125,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X3,X16,X4),X2,X4),X16,X4) ),
    file('<stdin>',cls_mod__mult__left__eq_0) ).

fof(c_0_125_126,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(X2,X3,X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4) ),
    file('<stdin>',cls_mult__less__cancel__left__disj_3) ).

fof(c_0_126_127,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(X2,X3,X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) ),
    file('<stdin>',cls_mult__less__cancel__right__disj_3) ).

fof(c_0_127_128,axiom,
    ! [X5,X11,X17,X16,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | ~ class_Int_Onumber__ring(X4)
      | c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X11,X16,X4),X4) != c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X11,X17,X4),X4)
      | X16 = X17
      | X11 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_class__ringb_Oadd__scale__eq__noteq_0) ).

fof(c_0_128_129,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4) ),
    file('<stdin>',cls_less__divide__eq_6) ).

fof(c_0_129_130,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4) ),
    file('<stdin>',cls_less__divide__eq_0) ).

fof(c_0_130_131,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4) ),
    file('<stdin>',cls_divide__less__eq_6) ).

fof(c_0_131_132,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4) ),
    file('<stdin>',cls_divide__less__eq_0) ).

fof(c_0_132_133,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4) ),
    file('<stdin>',cls_le__divide__eq_6) ).

fof(c_0_133_134,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4) ),
    file('<stdin>',cls_le__divide__eq_0) ).

fof(c_0_134_135,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4) ),
    file('<stdin>',cls_divide__le__eq_6) ).

fof(c_0_135_136,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4) ),
    file('<stdin>',cls_divide__le__eq_0) ).

fof(c_0_136_137,axiom,
    ! [X6,X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(X6,c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X6,X7,X4),X5,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4) ),
    file('<stdin>',cls_mult__imp__less__div__pos_0) ).

fof(c_0_137_138,axiom,
    ! [X6,X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X7,X4),X6,X4)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Otimes__class_Otimes(X6,X7,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4) ),
    file('<stdin>',cls_mult__imp__div__pos__less_0) ).

fof(c_0_138_139,axiom,
    ! [X6,X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_lessequals(X6,c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X6,X7,X4),X5,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4) ),
    file('<stdin>',cls_mult__imp__le__div__pos_0) ).

fof(c_0_139_140,axiom,
    ! [X6,X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X7,X4),X6,X4)
      | ~ c_lessequals(X5,c_HOL_Otimes__class_Otimes(X6,X7,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4) ),
    file('<stdin>',cls_mult__imp__div__pos__le_0) ).

fof(c_0_140_141,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4),X4) ),
    file('<stdin>',cls_abs__triangle__ineq2_0) ).

fof(c_0_141_142,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Olordered__ring(X4)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),X4) ),
    file('<stdin>',cls_abs__le__mult_0) ).

fof(c_0_142_143,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X3,X2,X4),X4),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),X4) ),
    file('<stdin>',cls_abs__triangle__ineq_0) ).

fof(c_0_143_144,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),X4) ),
    file('<stdin>',cls_abs__triangle__ineq4_0) ).

fof(c_0_144_145,axiom,
    ! [X7] :
      ( c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xs__2(v_p,v_r,X7),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(v_sko__local__Xs__1(v_p,v_r,X7),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X7,v_s____,tc_RealDef_Oreal) ),
    file('<stdin>',cls_s_2) ).

fof(c_0_145_146,axiom,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X17,X4),X4)
      | ~ c_lessequals(X16,X17,X4)
      | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X16,X4),X4) ),
    file('<stdin>',cls_le__add__right__mono_0) ).

fof(c_0_146_147,axiom,
    ! [X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X3,X4),c_RealVector_Onorm__class_Onorm(X2,X4),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__triangle__ineq4_0) ).

fof(c_0_147_148,axiom,
    ! [X7,X5,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X5,X7,X4),X4),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X5,X4),c_RealVector_Onorm__class_Onorm(X7,X4),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__triangle__ineq_0) ).

fof(c_0_148_149,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X4)
      | X16 = c_HOL_Ozero__class_Ozero(X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) ),
    file('<stdin>',cls_dvd__mult__cancel__right_0) ).

fof(c_0_149_150,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X4)
      | X16 = c_HOL_Ozero__class_Ozero(X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4) ),
    file('<stdin>',cls_dvd__mult__cancel__left_0) ).

fof(c_0_150_151,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
      | c_lessequals(X3,X2,X4)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X16,X4),c_HOL_Oplus__class_Oplus(X2,X16,X4),X4) ),
    file('<stdin>',cls_add__le__cancel__right_0) ).

fof(c_0_151_152,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
      | c_lessequals(X3,X2,X4)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X16,X3,X4),c_HOL_Oplus__class_Oplus(X16,X2,X4),X4) ),
    file('<stdin>',cls_add__le__cancel__left_0) ).

fof(c_0_152_153,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X16,X3,X4),c_HOL_Oplus__class_Oplus(X16,X2,X4),X4) ),
    file('<stdin>',cls_add__less__cancel__left_0) ).

fof(c_0_153_154,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X16,X4),c_HOL_Oplus__class_Oplus(X2,X16,X4),X4) ),
    file('<stdin>',cls_add__less__cancel__right_0) ).

fof(c_0_154_155,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X4)
      | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X16,c_HOL_Oabs__class_Oabs(X2,X4),X4),X4)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) ),
    file('<stdin>',cls_estimate__by__abs_0) ).

fof(c_0_155_156,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X16,X4),c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(X3,X2,X4) ),
    file('<stdin>',cls_divide__right__mono_0) ).

fof(c_0_156_157,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X16,X4),c_HOL_Oinverse__class_Odivide(X3,X16,X4),X4)
      | ~ c_lessequals(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,X2,X4) ),
    file('<stdin>',cls_divide__right__mono__neg_0) ).

fof(c_0_157_158,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
      | ~ c_lessequals(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,X3,X4) ),
    file('<stdin>',cls_mult__right__mono__neg_0) ).

fof(c_0_158_159,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_lessequals(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,X3,X4) ),
    file('<stdin>',cls_mult__left__mono__neg_0) ).

fof(c_0_159_160,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Omult__mono(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(X3,X2,X4) ),
    file('<stdin>',cls_mult__right__mono_0) ).

fof(c_0_160_161,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Omult__mono(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(X3,X2,X4) ),
    file('<stdin>',cls_mult__left__mono_0) ).

fof(c_0_161_162,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Omult__mono1(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(X3,X2,X4) ),
    file('<stdin>',cls_mult__mono1_0) ).

fof(c_0_162_163,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X16,X4),c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    file('<stdin>',cls_divide__strict__right__mono_0) ).

fof(c_0_163_164,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X16,X4),c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,X3,X4) ),
    file('<stdin>',cls_divide__strict__right__mono__neg_0) ).

fof(c_0_164_165,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_lessequals(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    file('<stdin>',cls_mult__le__cancel__left__pos_1) ).

fof(c_0_165_166,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_lessequals(X2,X3,X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_mult__le__cancel__left__neg_1) ).

fof(c_0_166_167,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    file('<stdin>',cls_mult__strict__left__mono__comm_0) ).

fof(c_0_167_168,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,X3,X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_mult__less__cancel__right__disj_5) ).

fof(c_0_168_169,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    file('<stdin>',cls_mult__less__cancel__right__disj_4) ).

fof(c_0_169_170,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    file('<stdin>',cls_mult__strict__right__mono_0) ).

fof(c_0_170_171,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,X3,X4) ),
    file('<stdin>',cls_mult__strict__right__mono__neg_0) ).

fof(c_0_171_172,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,X3,X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_mult__less__cancel__left__disj_5) ).

fof(c_0_172_173,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    file('<stdin>',cls_mult__less__cancel__left__disj_4) ).

fof(c_0_173_174,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    file('<stdin>',cls_mult__strict__left__mono_0) ).

fof(c_0_174_175,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,X3,X4) ),
    file('<stdin>',cls_mult__strict__left__mono__neg_0) ).

fof(c_0_175_176,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    file('<stdin>',cls_mult__less__cancel__left__pos_1) ).

fof(c_0_176_177,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,X3,X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_mult__less__cancel__left__neg_1) ).

fof(c_0_177_178,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X7,X5,X4),X5,X4)
      | ~ c_lessequals(X7,c_HOL_Oone__class_Oone(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X7,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
    file('<stdin>',cls_mult__left__le__one__le_0) ).

fof(c_0_178_179,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X5,X7,X4),X5,X4)
      | ~ c_lessequals(X7,c_HOL_Oone__class_Oone(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X7,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
    file('<stdin>',cls_mult__right__le__one__le_0) ).

fof(c_0_179_180,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4) ),
    file('<stdin>',cls_divide__less__eq_2) ).

fof(c_0_180_181,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4) ),
    file('<stdin>',cls_less__divide__eq_2) ).

fof(c_0_181_182,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4) ),
    file('<stdin>',cls_le__divide__eq_2) ).

fof(c_0_182_183,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4) ),
    file('<stdin>',cls_divide__le__eq_2) ).

fof(c_0_183_184,axiom,
    ! [X7,X9,X5] :
      ( c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X9,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X9,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
      | c_HOL_Oord__class_Oless(X7,v_s____,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X7,X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_s_0) ).

fof(c_0_184_185,axiom,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X4)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X16,X4),c_HOL_Oplus__class_Oplus(X2,X17,X4),X4)
      | ~ c_lessequals(X16,X17,X4)
      | ~ c_lessequals(X3,X2,X4) ),
    file('<stdin>',cls_add__mono_0) ).

fof(c_0_185_186,axiom,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X16,X4),c_HOL_Oplus__class_Oplus(X2,X17,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,X17,X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    file('<stdin>',cls_add__strict__mono_0) ).

fof(c_0_186_187,axiom,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X16,X4),c_HOL_Oplus__class_Oplus(X2,X17,X4),X4)
      | ~ c_lessequals(X16,X17,X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    file('<stdin>',cls_add__less__le__mono_0) ).

fof(c_0_187_188,axiom,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X16,X4),c_HOL_Oplus__class_Oplus(X2,X17,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,X17,X4)
      | ~ c_lessequals(X3,X2,X4) ),
    file('<stdin>',cls_add__le__less__mono_0) ).

fof(c_0_188_189,axiom,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X17,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X16,X17,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X4) ),
    file('<stdin>',cls_mult__dvd__mono_0) ).

fof(c_0_189_190,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4) != c_HOL_Ozero__class_Ozero(X4)
      | X7 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_sum__squares__eq__zero__iff_1) ).

fof(c_0_190_191,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4) != c_HOL_Ozero__class_Ozero(X4)
      | X5 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_sum__squares__eq__zero__iff_0) ).

fof(c_0_191_192,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I8_J_0) ).

fof(c_0_192_193,axiom,
    ! [X7,X9,X5,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(X9,c_HOL_Oplus__class_Oplus(X5,X7,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X5,X4),c_HOL_Otimes__class_Otimes(X9,X7,X4),X4) ),
    file('<stdin>',cls_mult__right_Oadd_0) ).

fof(c_0_193_194,axiom,
    ! [X23,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(X2,X23,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Otimes__class_Otimes(X3,X23,X4),X4) ),
    file('<stdin>',cls_mult_Oadd__right_0) ).

fof(c_0_194_195,axiom,
    ! [X22,X7,X5,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X5,X7,X4),X22,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X22,X4),c_HOL_Otimes__class_Otimes(X7,X22,X4),X4) ),
    file('<stdin>',cls_mult__left_Oadd_0) ).

fof(c_0_195_196,axiom,
    ! [X2,X13,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X13,X4),X2,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Otimes__class_Otimes(X13,X2,X4),X4) ),
    file('<stdin>',cls_mult_Oadd__left_0) ).

fof(c_0_196_197,axiom,
    ! [X6,X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(X5,c_HOL_Oplus__class_Oplus(X7,X6,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X7,X4),c_HOL_Otimes__class_Otimes(X5,X6,X4),X4) ),
    file('<stdin>',cls_class__semiring_Omul__d_0) ).

fof(c_0_197_198,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) ),
    file('<stdin>',cls_comm__semiring__class_Odistrib_0) ).

fof(c_0_198_199,axiom,
    ! [X21,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X21,X4),c_HOL_Otimes__class_Otimes(X2,X21,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X2,X4),X21,X4) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I1_J_0) ).

fof(c_0_199_200,axiom,
    ! [X7,X5,X3,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Ominus__class_Ominus(X5,X7,X4),X4) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X3,X5,X4),c_RealVector_OscaleR__class_OscaleR(X3,X7,X4),X4) ),
    file('<stdin>',cls_scaleR__right_Odiff_0) ).

fof(c_0_200_201,axiom,
    ! [X23,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Ominus__class_Ominus(X2,X23,X4),X4) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X3,X2,X4),c_RealVector_OscaleR__class_OscaleR(X3,X23,X4),X4) ),
    file('<stdin>',cls_scaleR_Odiff__right_0) ).

fof(c_0_201_202,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X3,X2,X4),X16,X4) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,X16,X4),c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4) ),
    file('<stdin>',cls_diff__divide__distrib_0) ).

fof(c_0_202_203,axiom,
    ! [X22,X7,X5,X4] :
      ( ~ class_RealVector_Oreal__normed__field(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X5,X7,X4),X22,X4) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X5,X22,X4),c_HOL_Oinverse__class_Odivide(X7,X22,X4),X4) ),
    file('<stdin>',cls_divide_Odiff_0) ).

fof(c_0_203_204,axiom,
    ! [X7,X9,X5,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(X9,c_HOL_Ominus__class_Ominus(X5,X7,X4),X4) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X9,X5,X4),c_HOL_Otimes__class_Otimes(X9,X7,X4),X4) ),
    file('<stdin>',cls_mult__right_Odiff_0) ).

fof(c_0_204_205,axiom,
    ! [X23,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Ominus__class_Ominus(X2,X23,X4),X4) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Otimes__class_Otimes(X3,X23,X4),X4) ),
    file('<stdin>',cls_mult_Odiff__right_0) ).

fof(c_0_205_206,axiom,
    ! [X2,X13,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X13,X4),X2,X4) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Otimes__class_Otimes(X13,X2,X4),X4) ),
    file('<stdin>',cls_mult_Odiff__left_0) ).

fof(c_0_206_207,axiom,
    ! [X22,X7,X5,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X7,X4),X22,X4) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X5,X22,X4),c_HOL_Otimes__class_Otimes(X7,X22,X4),X4) ),
    file('<stdin>',cls_mult__left_Odiff_0) ).

fof(c_0_207_208,axiom,
    ! [X7,X5,X3,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Oplus__class_Oplus(X5,X7,X4),X4) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X3,X5,X4),c_RealVector_OscaleR__class_OscaleR(X3,X7,X4),X4) ),
    file('<stdin>',cls_scaleR__right_Oadd_0) ).

fof(c_0_208_209,axiom,
    ! [X23,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Oplus__class_Oplus(X2,X23,X4),X4) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X3,X2,X4),c_RealVector_OscaleR__class_OscaleR(X3,X23,X4),X4) ),
    file('<stdin>',cls_scaleR_Oadd__right_0) ).

fof(c_0_209_210,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X2,X16,X4),X4),X2,X4) = c_Divides_Odiv__class_Omod(X3,X2,X4) ),
    file('<stdin>',cls_mod__mult__self2_0) ).

fof(c_0_210_211,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X16,X2,X4),X4),X2,X4) = c_Divides_Odiv__class_Omod(X3,X2,X4) ),
    file('<stdin>',cls_mod__mult__self1_0) ).

fof(c_0_211_212,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X16,X4),c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4) ),
    file('<stdin>',cls_add__divide__distrib_0) ).

fof(c_0_212_213,axiom,
    ! [X22,X7,X5,X4] :
      ( ~ class_RealVector_Oreal__normed__field(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,X7,X4),X22,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,X22,X4),c_HOL_Oinverse__class_Odivide(X7,X22,X4),X4) ),
    file('<stdin>',cls_divide_Oadd_0) ).

fof(c_0_213_214,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4) = c_HOL_Otimes__class_Otimes(X16,c_Divides_Odiv__class_Omod(X3,X2,X4),X4) ),
    file('<stdin>',cls_mod__mult__mult1_0) ).

fof(c_0_214_215,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X3,X2,X4),X16,X4) ),
    file('<stdin>',cls_mod__mult__mult2_0) ).

fof(c_0_215_216,axiom,
    ! [X5,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X3,X2,tc_RealDef_Oreal),X5,X4) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X3,X5,X4),c_RealVector_OscaleR__class_OscaleR(X2,X5,X4),X4) ),
    file('<stdin>',cls_real__vector_Oscale__left__distrib_0) ).

fof(c_0_216_217,axiom,
    ! [X7,X9,X5,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),X9,X4) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X5,X9,X4),c_RealVector_OscaleR__class_OscaleR(X7,X9,X4),X4) ),
    file('<stdin>',cls_scaleR__left_Oadd_0) ).

fof(c_0_217_218,axiom,
    ! [X2,X13,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X3,X13,tc_RealDef_Oreal),X2,X4) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X3,X2,X4),c_RealVector_OscaleR__class_OscaleR(X13,X2,X4),X4) ),
    file('<stdin>',cls_scaleR_Oadd__left_0) ).

fof(c_0_218_219,axiom,
    ! [X6,X11,X8] :
      ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X8,X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X8,X11),tc_RealDef_Oreal)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X6,tc_Complex_Ocomplex),X11,tc_RealDef_Oreal) ),
    file('<stdin>',cls_poly__bound__exists_1) ).

fof(c_0_219_220,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X2,X3,X4),X4) ),
    file('<stdin>',cls_zero__less__mult__pos2_0) ).

fof(c_0_220_221,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
    file('<stdin>',cls_zero__less__mult__pos_0) ).

fof(c_0_221_222,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_abs__eq__mult_3) ).

fof(c_0_222_223,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_abs__eq__mult_2) ).

fof(c_0_223_224,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_abs__eq__mult_1) ).

fof(c_0_224_225,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_abs__eq__mult_0) ).

fof(c_0_225_226,axiom,
    ! [X6] :
      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X6,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
    file('<stdin>',cls_s1m_0) ).

fof(c_0_226_227,axiom,
    ! [X20,X21,X15,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X15,X21,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X15,X20,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X15,c_Divides_Odiv__class_Omod(X21,X20,X4),X4) ),
    file('<stdin>',cls_dvd__mod__imp__dvd_0) ).

fof(c_0_227_228,axiom,
    ! [X20,X21,X15,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X15,X21,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X15,c_Divides_Odiv__class_Omod(X21,X20,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X15,X20,X4) ),
    file('<stdin>',cls_dvd__mod__iff_0) ).

fof(c_0_228_229,axiom,
    ! [X6,X7,X5,X31,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X7,X6,X4),X4) != c_HOL_Oplus__class_Oplus(X7,X31,X4)
      | c_HOL_Oplus__class_Oplus(X5,X6,X4) = X31 ),
    file('<stdin>',cls_add__cancel__21_0) ).

fof(c_0_229_230,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
    file('<stdin>',cls_zero__less__divide__iff_3) ).

fof(c_0_230_231,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
    file('<stdin>',cls_zero__less__divide__iff_2) ).

fof(c_0_231_232,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
    file('<stdin>',cls_zero__less__divide__iff_1) ).

fof(c_0_232_233,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
    file('<stdin>',cls_zero__less__divide__iff_0) ).

fof(c_0_233_234,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
    file('<stdin>',cls_zero__le__divide__iff_3) ).

fof(c_0_234_235,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
    file('<stdin>',cls_zero__le__divide__iff_2) ).

fof(c_0_235_236,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
    file('<stdin>',cls_zero__le__divide__iff_1) ).

fof(c_0_236_237,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
    file('<stdin>',cls_zero__le__divide__iff_0) ).

fof(c_0_237_238,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_divide__le__0__iff_0) ).

fof(c_0_238_239,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_divide__le__0__iff_1) ).

fof(c_0_239_240,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_divide__le__0__iff_2) ).

fof(c_0_240_241,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_divide__le__0__iff_3) ).

fof(c_0_241_242,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_divide__less__0__iff_3) ).

fof(c_0_242_243,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_divide__less__0__iff_2) ).

fof(c_0_243_244,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_divide__less__0__iff_1) ).

fof(c_0_244_245,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_divide__less__0__iff_0) ).

fof(c_0_245_246,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    file('<stdin>',cls_divide__less__eq_3) ).

fof(c_0_246_247,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    file('<stdin>',cls_less__divide__eq_3) ).

fof(c_0_247_248,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    file('<stdin>',cls_le__divide__eq_3) ).

fof(c_0_248_249,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    file('<stdin>',cls_divide__le__eq_3) ).

fof(c_0_249_250,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_mult__le__0__iff_3) ).

fof(c_0_250_251,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_mult__le__0__iff_2) ).

fof(c_0_251_252,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_mult__le__0__iff_1) ).

fof(c_0_252_253,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_mult__le__0__iff_0) ).

fof(c_0_253_254,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
    file('<stdin>',cls_zero__le__mult__iff_0) ).

fof(c_0_254_255,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
    file('<stdin>',cls_zero__le__mult__iff_1) ).

fof(c_0_255_256,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
    file('<stdin>',cls_zero__le__mult__iff_2) ).

fof(c_0_256_257,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
    file('<stdin>',cls_zero__le__mult__iff_3) ).

fof(c_0_257_258,axiom,
    ! [X7] :
      ( c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xs1__1(v_p,v_r,X7),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    file('<stdin>',cls_s1_1) ).

fof(c_0_258_259,axiom,
    ! [X6,X5] :
      ( c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X6,tc_RealDef_Oreal)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X5,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
      | c_HOL_Oord__class_Oless(X6,v_sko__local__Xmth2__1(v_p,v_r),tc_RealDef_Oreal) ),
    file('<stdin>',cls_mth2_0) ).

fof(c_0_259_260,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Divides_Oring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X3,X2,X4),X4),X2,X4) ),
    file('<stdin>',cls_mod__minus__eq_0) ).

fof(c_0_260_261,axiom,
    ! [X37,X38] :
      ( c_HOL_Oord__class_Oless(X37,X38,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X38,c_HOL_Ouminus__class_Ouminus(X37,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sum__gt__zero__less_0) ).

fof(c_0_261_262,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_zero__less__divide__iff_4) ).

fof(c_0_262_263,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_zero__less__divide__iff_5) ).

fof(c_0_263_264,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_divide__le__0__iff_5) ).

fof(c_0_264_265,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_divide__le__0__iff_4) ).

fof(c_0_265_266,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_zero__le__divide__iff_4) ).

fof(c_0_266_267,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_zero__le__divide__iff_5) ).

fof(c_0_267_268,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_divide__less__0__iff_4) ).

fof(c_0_268_269,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_divide__less__0__iff_5) ).

fof(c_0_269_270,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_split__mult__pos__le_0) ).

fof(c_0_270_271,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_split__mult__pos__le_1) ).

fof(c_0_271_272,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_mult__nonpos__nonpos_0) ).

fof(c_0_272_273,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_zero__le__mult__iff_4) ).

fof(c_0_273_274,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_zero__le__mult__iff_5) ).

fof(c_0_274_275,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_mult__nonneg__nonneg_0) ).

fof(c_0_275_276,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_divide__nonpos__pos_0) ).

fof(c_0_276_277,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
    file('<stdin>',cls_divide__nonneg__neg_0) ).

fof(c_0_277_278,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_mult__pos__neg2_0) ).

fof(c_0_278_279,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_mult__pos__neg_0) ).

fof(c_0_279_280,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_mult__neg__pos_0) ).

fof(c_0_280_281,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_divide__neg__neg_0) ).

fof(c_0_281_282,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
    file('<stdin>',cls_divide__pos__pos_0) ).

fof(c_0_282_283,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
    file('<stdin>',cls_divide__nonneg__pos_0) ).

fof(c_0_283_284,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_divide__nonpos__neg_0) ).

fof(c_0_284_285,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_add__nonpos__neg_0) ).

fof(c_0_285_286,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_add__neg__nonpos_0) ).

fof(c_0_286_287,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_mult__pos__pos_0) ).

fof(c_0_287_288,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_mult__neg__neg_0) ).

fof(c_0_288_289,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_mult__le__0__iff_4) ).

fof(c_0_289_290,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_mult__le__0__iff_5) ).

fof(c_0_290_291,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_split__mult__neg__le_0) ).

fof(c_0_291_292,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_split__mult__neg__le_1) ).

fof(c_0_292_293,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_mult__nonneg__nonpos_0) ).

fof(c_0_293_294,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_mult__nonpos__nonneg_0) ).

fof(c_0_294_295,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_mult__nonneg__nonpos2_0) ).

fof(c_0_295_296,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_add__nonneg__pos_0) ).

fof(c_0_296_297,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X2,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_add__pos__nonneg_0) ).

fof(c_0_297_298,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X2,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_add__nonneg__nonneg_0) ).

fof(c_0_298_299,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_add__pos__pos_0) ).

fof(c_0_299_300,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_add__neg__neg_0) ).

fof(c_0_300_301,axiom,
    ! [X20,X21,X4] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),c_HOL_Otimes__class_Otimes(X21,X20,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),X20,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),X21,X4) ),
    file('<stdin>',cls_less__1__mult_0) ).

fof(c_0_301_302,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_divide__neg__pos_0) ).

fof(c_0_302_303,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
    file('<stdin>',cls_divide__pos__neg_0) ).

fof(c_0_303_304,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_add__nonpos__nonpos_0) ).

fof(c_0_304_305,axiom,
    ! [X7,X5] :
      ( c_lessequals(X7,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__0__le__divide__iff_1) ).

fof(c_0_305_306,axiom,
    ! [X7,X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__0__le__divide__iff_0) ).

fof(c_0_306_307,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X16,X4),c_HOL_Oplus__class_Oplus(X2,X16,X4),X4)
      | ~ c_lessequals(X3,X2,X4) ),
    file('<stdin>',cls_add__le__cancel__right_1) ).

fof(c_0_307_308,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X16,X3,X4),c_HOL_Oplus__class_Oplus(X16,X2,X4),X4)
      | ~ c_lessequals(X3,X2,X4) ),
    file('<stdin>',cls_add__le__cancel__left_1) ).

fof(c_0_308_309,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X4)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X16,X4),c_HOL_Oplus__class_Oplus(X2,X16,X4),X4)
      | ~ c_lessequals(X3,X2,X4) ),
    file('<stdin>',cls_add__right__mono_0) ).

fof(c_0_309_310,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X4)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X16,X3,X4),c_HOL_Oplus__class_Oplus(X16,X2,X4),X4)
      | ~ c_lessequals(X3,X2,X4) ),
    file('<stdin>',cls_add__left__mono_0) ).

fof(c_0_310_311,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X4) ),
    file('<stdin>',cls_dvd__mult__cancel__left_2) ).

fof(c_0_311_312,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X4) ),
    file('<stdin>',cls_dvd__mult__cancel__right_2) ).

fof(c_0_312_313,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X16,X3,X4),c_HOL_Oplus__class_Oplus(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    file('<stdin>',cls_add__less__cancel__left_1) ).

fof(c_0_313_314,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X16,X3,X4),c_HOL_Oplus__class_Oplus(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    file('<stdin>',cls_add__strict__left__mono_0) ).

fof(c_0_314_315,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X16,X4),c_HOL_Oplus__class_Oplus(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    file('<stdin>',cls_add__less__cancel__right_1) ).

fof(c_0_315_316,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X16,X4),c_HOL_Oplus__class_Oplus(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    file('<stdin>',cls_add__strict__right__mono_0) ).

fof(c_0_316_317,axiom,
    ! [X2,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_divide__le__0__1__iff_0) ).

fof(c_0_317_318,axiom,
    ! [X2,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),X4) ),
    file('<stdin>',cls_zero__le__divide__1__iff_0) ).

fof(c_0_318_319,axiom,
    ! [X2,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_divide__less__0__1__iff_0) ).

fof(c_0_319_320,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
      | ~ class_OrderedGroup_Ocomm__monoid__add(X4)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X16,X4),X4)
      | ~ c_lessequals(X2,X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_add__strict__increasing_0) ).

fof(c_0_320_321,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
      | ~ class_OrderedGroup_Ocomm__monoid__add(X4)
      | c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X16,X4),X4)
      | ~ c_lessequals(X2,X3,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    file('<stdin>',cls_add__increasing2_0) ).

fof(c_0_321_322,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
      | ~ class_OrderedGroup_Ocomm__monoid__add(X4)
      | c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X16,X4),X4)
      | ~ c_lessequals(X2,X16,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_add__increasing_0) ).

fof(c_0_322_323,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
      | ~ class_OrderedGroup_Ocomm__monoid__add(X4)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,X16,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_add__strict__increasing2_0) ).

fof(c_0_323_324,axiom,
    ! [X2,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),X4) ),
    file('<stdin>',cls_zero__less__divide__1__iff_0) ).

fof(c_0_324_325,axiom,
    ! [X7] :
      ( c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xs__2(v_p,v_r,X7),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X7,v_s____,tc_RealDef_Oreal) ),
    file('<stdin>',cls_s_1) ).

fof(c_0_325_326,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_le__eq__neg_1) ).

fof(c_0_326_327,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X4)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_pos__add__strict_0) ).

fof(c_0_327_328,axiom,
    ! [X6,X7,X5] :
      ( c_lessequals(c_HOL_Oplus__class_Oplus(X6,X5,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X6,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X7,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__add__left__mono_0) ).

fof(c_0_328_329,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) = c_HOL_Oinverse__class_Odivide(X3,X2,X4)
      | X16 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_mult__divide__mult__cancel__right_0) ).

fof(c_0_329_330,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(X3,X2,X4)
      | X16 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_mult__divide__mult__cancel__left_0) ).

fof(c_0_330_331,axiom,
    ! [X21,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X21,X4),X21,X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(X4),X4),X21,X4) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I2_J_0) ).

fof(c_0_331_332,axiom,
    ! [X21,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(X21,c_HOL_Otimes__class_Otimes(X3,X21,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(X4),X4),X21,X4) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I3_J_0) ).

fof(c_0_332_333,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Oplus__class_Oplus(X2,X16,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X16,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X4) ),
    file('<stdin>',cls_dvd__add_0) ).

fof(c_0_333_334,axiom,
    ! [X6,X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X5,c_HOL_Ominus__class_Ominus(X7,X6,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X5,X6,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X5,X7,X4) ),
    file('<stdin>',cls_dvd__diff_0) ).

fof(c_0_334_335,axiom,
    ! [X20,X21,X15,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X15,c_Divides_Odiv__class_Omod(X21,X20,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X15,X21,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X15,X20,X4) ),
    file('<stdin>',cls_dvd__mod__iff_1) ).

fof(c_0_335_336,axiom,
    ! [X20,X21,X15,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X15,c_Divides_Odiv__class_Omod(X21,X20,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X15,X20,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X15,X21,X4) ),
    file('<stdin>',cls_dvd__mod_0) ).

fof(c_0_336_337,axiom,
    ! [X2,X13,X3,X4] :
      ( ~ class_Divides_Oring__div(X4)
      | c_Divides_Odiv__class_Omod(X3,X2,X4) != c_Divides_Odiv__class_Omod(X13,X2,X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X13,X4),X2,X4) ),
    file('<stdin>',cls_mod__minus__cong_0) ).

fof(c_0_337_338,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4) ),
    file('<stdin>',cls_abs__add__abs_0) ).

fof(c_0_338_339,axiom,
    ! [X7,X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__0__le__divide__iff_2) ).

fof(c_0_339_340,axiom,
    ! [X7,X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X7,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__0__le__divide__iff_3) ).

fof(c_0_340_341,axiom,
    ! [X7,X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__0__le__divide__iff_4) ).

fof(c_0_341_342,axiom,
    ! [X7,X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X7,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__0__le__divide__iff_5) ).

fof(c_0_342_343,axiom,
    ! [X6,X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X5,X7,X4),X6,X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X5,X6,X4),X7,X4) ),
    file('<stdin>',cls_mult__frac__num_0) ).

fof(c_0_343_344,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X3,X4),X4) ),
    file('<stdin>',cls_zero__less__double__add__iff__zero__less__single__add_0) ).

fof(c_0_344_345,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_double__add__less__zero__iff__single__less__zero_0) ).

fof(c_0_345_346,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_even__less__0__iff_0) ).

fof(c_0_346_347,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X3,X4),X4) ),
    file('<stdin>',cls_zero__le__double__add__iff__zero__le__single__add_0) ).

fof(c_0_347_348,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_double__add__le__zero__iff__single__add__le__zero_0) ).

fof(c_0_348_349,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Oab__semigroup__mult(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X3,X2,X4),X16,X4) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) ),
    file('<stdin>',cls_ab__semigroup__mult__class_Omult__ac_I1_J_0) ).

fof(c_0_349_350,axiom,
    ! [X33,X34,X35,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X35,X34,X4),X33,X4) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X35,X33,X4),X34,X4) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I16_J_0) ).

fof(c_0_350_351,axiom,
    ! [X33,X34,X35,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X35,X34,X4),X33,X4) = c_HOL_Otimes__class_Otimes(X35,c_HOL_Otimes__class_Otimes(X34,X33,X4),X4) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I17_J_0) ).

fof(c_0_351_352,axiom,
    ! [X32,X33,X35,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(X35,c_HOL_Otimes__class_Otimes(X33,X32,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X35,X33,X4),X32,X4) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I18_J_0) ).

fof(c_0_352_353,axiom,
    ! [X32,X33,X35,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(X35,c_HOL_Otimes__class_Otimes(X33,X32,X4),X4) = c_HOL_Otimes__class_Otimes(X33,c_HOL_Otimes__class_Otimes(X35,X32,X4),X4) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I19_J_0) ).

fof(c_0_353_354,axiom,
    ! [X6,X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(X5,c_HOL_Otimes__class_Otimes(X7,X6,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X5,X7,X4),X6,X4) ),
    file('<stdin>',cls_class__semiring_Omul__a_0) ).

fof(c_0_354_355,axiom,
    ! [X11,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X11,X3,X4),X2,X4) = c_RealVector_OscaleR__class_OscaleR(X11,c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
    file('<stdin>',cls_mult_OscaleR__left_0) ).

fof(c_0_355_356,axiom,
    ! [X7,X5,X11,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X11,X5,X4),X7,X4) = c_RealVector_OscaleR__class_OscaleR(X11,c_HOL_Otimes__class_Otimes(X5,X7,X4),X4) ),
    file('<stdin>',cls_mult__left_OscaleR_0) ).

fof(c_0_356_357,axiom,
    ! [X11,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(X3,c_RealVector_OscaleR__class_OscaleR(X11,X2,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X11,c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
    file('<stdin>',cls_mult_OscaleR__right_0) ).

fof(c_0_357_358,axiom,
    ! [X9,X5,X11,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(X9,c_RealVector_OscaleR__class_OscaleR(X11,X5,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X11,c_HOL_Otimes__class_Otimes(X9,X5,X4),X4) ),
    file('<stdin>',cls_mult__right_OscaleR_0) ).

fof(c_0_358_359,axiom,
    ! [X7,X5,X3,X4] :
      ( ~ class_RealVector_Oreal__algebra(X4)
      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X3,X5,X4),X7,X4) = c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Otimes__class_Otimes(X5,X7,X4),X4) ),
    file('<stdin>',cls_mult__scaleR__left_0) ).

fof(c_0_359_360,axiom,
    ! [X7,X5,X3,X4] :
      ( ~ class_RealVector_Oreal__algebra(X4)
      | c_HOL_Otimes__class_Otimes(X5,c_RealVector_OscaleR__class_OscaleR(X3,X7,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Otimes__class_Otimes(X5,X7,X4),X4) ),
    file('<stdin>',cls_mult__scaleR__right_0) ).

fof(c_0_360_361,axiom,
    ! [X7,X5,X11,X4] :
      ( ~ class_RealVector_Oreal__normed__field(X4)
      | c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X11,X5,X4),X7,X4) = c_RealVector_OscaleR__class_OscaleR(X11,c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4) ),
    file('<stdin>',cls_divide_OscaleR_0) ).

fof(c_0_361_362,axiom,
    ! [X11,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,c_RealVector_OscaleR__class_OscaleR(X11,X2,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X11,c_RealVector_OscaleR__class_OscaleR(X3,X2,X4),X4) ),
    file('<stdin>',cls_scaleR_OscaleR__right_0) ).

fof(c_0_362_363,axiom,
    ! [X5,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,c_RealVector_OscaleR__class_OscaleR(X2,X5,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X3,X5,X4),X4) ),
    file('<stdin>',cls_scaleR__left__commute_0) ).

fof(c_0_363_364,axiom,
    ! [X5,X29,X11,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X29,c_RealVector_OscaleR__class_OscaleR(X11,X5,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X11,c_RealVector_OscaleR__class_OscaleR(X29,X5,X4),X4) ),
    file('<stdin>',cls_scaleR__right_OscaleR_0) ).

fof(c_0_364_365,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
      | c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X16,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X16,X4),X4) ),
    file('<stdin>',cls_comm__monoid__add_Omult__left__commute_0) ).

fof(c_0_365_366,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X16,X4),X4) ),
    file('<stdin>',cls_comm__monoid__add_Omult__assoc_0) ).

fof(c_0_366_367,axiom,
    ! [X6,X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X7,X6,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X5,X7,X4),X6,X4) ),
    file('<stdin>',cls_class__semiring_Oadd__a_0) ).

fof(c_0_367_368,axiom,
    ! [X6,X7,X5,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X7,X6,X4),X4) = c_HOL_Oplus__class_Oplus(X7,c_HOL_Oplus__class_Oplus(X5,X6,X4),X4) ),
    file('<stdin>',cls_add__cancel__21_1) ).

fof(c_0_368_369,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X16,X4),X4) ),
    file('<stdin>',cls_ab__semigroup__add__class_Oadd__ac_I1_J_0) ).

fof(c_0_369_370,axiom,
    ! [X17,X16,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X16,X17,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X16,X4),X17,X4) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I25_J_0) ).

fof(c_0_370_371,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X16,X4),X2,X4) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I23_J_0) ).

fof(c_0_371_372,axiom,
    ! [X17,X16,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X16,X17,X4),X4) = c_HOL_Oplus__class_Oplus(X16,c_HOL_Oplus__class_Oplus(X3,X17,X4),X4) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I22_J_0) ).

fof(c_0_372_373,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X16,X4),X4) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I21_J_0) ).

fof(c_0_373_374,axiom,
    ! [X5,X12,X8,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X4)
      | c_Polynomial_Opoly(c_Polynomial_Opcompose(X8,X12,X4),X5,X4) = c_Polynomial_Opoly(X8,c_Polynomial_Opoly(X12,X5,X4),X4) ),
    file('<stdin>',cls_poly__pcompose_0) ).

fof(c_0_374_375,axiom,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_sum__squares__eq__zero__iff_2) ).

fof(c_0_375_376,axiom,
    ! [X7,X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__0__less__add__iff_0) ).

fof(c_0_376_377,axiom,
    ! [X7,X5] :
      ( c_lessequals(X7,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__add__le__0__iff_0) ).

fof(c_0_377_378,axiom,
    ! [X7,X5] :
      ( c_HOL_Oord__class_Oless(X7,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__add__less__0__iff_0) ).

fof(c_0_378_379,axiom,
    ! [X7,X5] :
      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__0__le__add__iff_0) ).

fof(c_0_379_380,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(X2,X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4) ),
    file('<stdin>',cls_inverse__less__imp__less_0) ).

fof(c_0_380_381,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(X2,X3,X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4) ),
    file('<stdin>',cls_inverse__less__imp__less__neg_0) ).

fof(c_0_381_382,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_lessequals(X2,X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4) ),
    file('<stdin>',cls_inverse__le__imp__le_0) ).

fof(c_0_382_383,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_lessequals(X2,X3,X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4) ),
    file('<stdin>',cls_inverse__le__imp__le__neg_0) ).

fof(c_0_383_384,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_lessequals(X3,X2,X4)
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_le__iff__diff__le__0_1) ).

fof(c_0_384_385,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_less__iff__diff__less__0_1) ).

fof(c_0_385_386,axiom,
    ! [X27,X7,X28,X5,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Ominus__class_Ominus(X5,X7,X4) != c_HOL_Ominus__class_Ominus(X28,X27,X4)
      | c_lessequals(X27,X28,X4)
      | ~ c_lessequals(X7,X5,X4) ),
    file('<stdin>',cls_le__eqI_0) ).

fof(c_0_386_387,axiom,
    ! [X27,X7,X28,X5,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Ominus__class_Ominus(X5,X7,X4) != c_HOL_Ominus__class_Ominus(X28,X27,X4)
      | c_lessequals(X7,X5,X4)
      | ~ c_lessequals(X27,X28,X4) ),
    file('<stdin>',cls_le__eqI_1) ).

fof(c_0_387_388,axiom,
    ! [X27,X7,X28,X5,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Ominus__class_Ominus(X5,X7,X4) != c_HOL_Ominus__class_Ominus(X28,X27,X4)
      | c_HOL_Oord__class_Oless(X28,X27,X4)
      | ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
    file('<stdin>',cls_less__eqI_0) ).

fof(c_0_388_389,axiom,
    ! [X27,X7,X28,X5,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Ominus__class_Ominus(X5,X7,X4) != c_HOL_Ominus__class_Ominus(X28,X27,X4)
      | c_HOL_Oord__class_Oless(X5,X7,X4)
      | ~ c_HOL_Oord__class_Oless(X28,X27,X4) ),
    file('<stdin>',cls_less__eqI_1) ).

fof(c_0_389_390,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X2,X16,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X2,X4),X16,X4) ),
    file('<stdin>',cls_dvd__mult__right_0) ).

fof(c_0_390_391,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,X16,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X2,X4),X16,X4) ),
    file('<stdin>',cls_dvd__mult__left_0) ).

fof(c_0_391_392,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X5,X4),X7,X4) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4) ),
    file('<stdin>',cls_abs__div__pos_0) ).

fof(c_0_392_393,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(X3,X16,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X16,X2,X4) ),
    file('<stdin>',cls_mod__mod__cancel_0) ).

fof(c_0_393_394,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X7,X4),X5,X4) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X7,X5,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
    file('<stdin>',cls_abs__mult__pos_0) ).

fof(c_0_394_395,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
    file('<stdin>',cls_le__eq__neg_0) ).

fof(c_0_395_396,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    file('<stdin>',cls_abs__less__iff_2) ).

fof(c_0_396_397,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
      | ~ c_lessequals(X3,X2,X4) ),
    file('<stdin>',cls_abs__leI_0) ).

fof(c_0_397_398,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
      | ~ c_lessequals(X3,X2,X4) ),
    file('<stdin>',cls_abs__le__iff_2) ).

fof(c_0_398_399,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X4),X4),X4) ),
    file('<stdin>',cls_dvd__mult__cancel__right_1) ).

fof(c_0_399_400,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X3,X4),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X2,X4),X4) ),
    file('<stdin>',cls_dvd__mult__cancel__left_1) ).

fof(c_0_400_401,axiom,
    ! [X6,X7,X5,X10,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Oinverse__class_Odivide(X5,X7,X4) != c_HOL_Oinverse__class_Odivide(X10,X6,X4)
      | X6 = c_HOL_Ozero__class_Ozero(X4)
      | X7 = c_HOL_Ozero__class_Ozero(X4)
      | c_HOL_Otimes__class_Otimes(X5,X6,X4) = c_HOL_Otimes__class_Otimes(X10,X7,X4) ),
    file('<stdin>',cls_frac__eq__eq_0) ).

fof(c_0_401_402,axiom,
    ! [X6,X7,X5,X10,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Otimes__class_Otimes(X5,X6,X4) != c_HOL_Otimes__class_Otimes(X10,X7,X4)
      | X6 = c_HOL_Ozero__class_Ozero(X4)
      | X7 = c_HOL_Ozero__class_Ozero(X4)
      | c_HOL_Oinverse__class_Odivide(X5,X7,X4) = c_HOL_Oinverse__class_Odivide(X10,X6,X4) ),
    file('<stdin>',cls_frac__eq__eq_1) ).

fof(c_0_402_403,axiom,
    ! [X7,X5,X4] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
      | c_HOL_Oplus__class_Oplus(X5,X7,X4) != c_HOL_Ozero__class_Ozero(X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X7,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4)
      | X7 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_add__nonneg__eq__0__iff_1) ).

fof(c_0_403_404,axiom,
    ! [X7,X5,X4] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
      | c_HOL_Oplus__class_Oplus(X5,X7,X4) != c_HOL_Ozero__class_Ozero(X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X7,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4)
      | X5 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_add__nonneg__eq__0__iff_0) ).

fof(c_0_404_405,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X4),c_HOL_Oinverse__class_Oinverse(X3,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    file('<stdin>',cls_less__imp__inverse__less_0) ).

fof(c_0_405_406,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X4),c_HOL_Oinverse__class_Oinverse(X3,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    file('<stdin>',cls_less__imp__inverse__less__neg_0) ).

fof(c_0_406_407,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X4),c_HOL_Oinverse__class_Oinverse(X3,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(X3,X2,X4) ),
    file('<stdin>',cls_le__imp__inverse__le_0) ).

fof(c_0_407_408,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X4),c_HOL_Oinverse__class_Oinverse(X3,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,X2,X4) ),
    file('<stdin>',cls_le__imp__inverse__le__neg_0) ).

fof(c_0_408_409,axiom,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oone__class_Oone(X4),c_HOL_Oinverse__class_Oinverse(X5,X4),X4)
      | ~ c_lessequals(X5,c_HOL_Oone__class_Oone(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
    file('<stdin>',cls_one__le__inverse__iff_2) ).

fof(c_0_409_410,axiom,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),c_HOL_Oinverse__class_Oinverse(X5,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oone__class_Oone(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
    file('<stdin>',cls_one__less__inverse__iff_2) ).

fof(c_0_410_411,axiom,
    ! [X2,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_divide__le__0__1__iff_1) ).

fof(c_0_411_412,axiom,
    ! [X2,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4) ),
    file('<stdin>',cls_zero__le__divide__1__iff_1) ).

fof(c_0_412_413,axiom,
    ! [X2,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_divide__less__0__1__iff_1) ).

fof(c_0_413_414,axiom,
    ! [X2,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4) ),
    file('<stdin>',cls_zero__less__divide__1__iff_1) ).

fof(c_0_414_415,axiom,
    ! [X37,X38] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X38,c_HOL_Ouminus__class_Ouminus(X37,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X37,X38,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__less__sum__gt__zero_0) ).

fof(c_0_415_416,axiom,
    ! [X4] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_add__nonneg__eq__0__iff_2) ).

fof(c_0_416_417,axiom,
    ! [X7,X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__0__less__add__iff_1) ).

fof(c_0_417_418,axiom,
    ! [X7,X5] :
      ( c_lessequals(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X7,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__add__le__0__iff_1) ).

fof(c_0_418_419,axiom,
    ! [X5,X11] :
      ( c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),X11,tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X11,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_abs__le__interval__iff_2) ).

fof(c_0_419_420,axiom,
    ! [X7,X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__add__less__0__iff_1) ).

fof(c_0_420_421,axiom,
    ! [X7,X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__0__le__add__iff_1) ).

fof(c_0_421_422,axiom,
    ! [X6,X7,X5,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X7,X6,X4),X4) != X7
      | X5 = c_HOL_Ouminus__class_Ouminus(X6,X4) ),
    file('<stdin>',cls_add__cancel__end_0) ).

fof(c_0_422_423,axiom,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oone__class_Oone(X4),X5,X4)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X5,X4),c_HOL_Oone__class_Oone(X4),X4) ),
    file('<stdin>',cls_inverse__le__1__iff_0) ).

fof(c_0_423_424,axiom,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),X5,X4)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X5,X4),c_HOL_Oone__class_Oone(X4),X4) ),
    file('<stdin>',cls_inverse__less__1__iff_0) ).

fof(c_0_424_425,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X3,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_zero__less__double__add__iff__zero__less__single__add_1) ).

fof(c_0_425_426,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_double__add__less__zero__iff__single__less__zero_1) ).

fof(c_0_426_427,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_even__less__0__iff_1) ).

fof(c_0_427_428,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_not__square__less__zero_0) ).

fof(c_0_428_429,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X3,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_zero__le__double__add__iff__zero__le__single__add_1) ).

fof(c_0_429_430,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_double__add__le__zero__iff__single__add__le__zero_1) ).

fof(c_0_430_431,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Ominus__class_Ominus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,X2,X4) ),
    file('<stdin>',cls_le__iff__diff__le__0_0) ).

fof(c_0_431_432,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    file('<stdin>',cls_less__iff__diff__less__0_0) ).

fof(c_0_432_433,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X4) ),
    file('<stdin>',cls_dvd__mult2_0) ).

fof(c_0_433_434,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X16,X4) ),
    file('<stdin>',cls_dvd__mult_0) ).

fof(c_0_434_435,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X4),X4) ),
    file('<stdin>',cls_abs__minus__commute_0) ).

fof(c_0_435_436,axiom,
    ! [X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,X4),X4) ),
    file('<stdin>',cls_norm__minus__commute_0) ).

fof(c_0_436_437,axiom,
    ! [X21,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(X21,X21,X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X4),c_HOL_Oone__class_Oone(X4),X4),X21,X4) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I4_J_0) ).

fof(c_0_437_438,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X4),c_HOL_Oinverse__class_Oinverse(X3,X4),X4)
      | X2 = c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_nonzero__inverse__mult__distrib_0) ).

fof(c_0_438_439,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4) ),
    file('<stdin>',cls_inverse__mult__distrib_0) ).

fof(c_0_439_440,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4) ),
    file('<stdin>',cls_abs__divide_0) ).

fof(c_0_440_441,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | ~ class_RealVector_Oreal__normed__field(X4)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X3,X4),c_RealVector_Onorm__class_Onorm(X2,X4),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__divide_0) ).

fof(c_0_441_442,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4)
      | X2 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_nonzero__abs__divide_0) ).

fof(c_0_442_443,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | ~ class_RealVector_Oreal__field(X4)
      | c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),X4) = c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X5,X4),c_RealVector_Oof__real(X7,X4),X4) ),
    file('<stdin>',cls_of__real__divide_0) ).

fof(c_0_443_444,axiom,
    ! [X7,X5,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),X4) = c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X5,X4),c_RealVector_Oof__real(X7,X4),X4) ),
    file('<stdin>',cls_of__real_Oadd_0) ).

fof(c_0_444_445,axiom,
    ! [X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__field(X4)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X3,X4),c_RealVector_Onorm__class_Onorm(X2,X4),tc_RealDef_Oreal)
      | X2 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_nonzero__norm__divide_0) ).

fof(c_0_445_446,axiom,
    ! [X7] :
      ( c_HOL_Oord__class_Oless(X7,v_sko__local__Xs__1(v_p,v_r,X7),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X7,v_s____,tc_RealDef_Oreal) ),
    file('<stdin>',cls_s_3) ).

fof(c_0_446_447,axiom,
    ! [X7,X5,X4] :
      ( ~ class_RealVector_Oreal__field(X4)
      | c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),X4) = c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X5,X4),c_RealVector_Oof__real(X7,X4),X4)
      | X7 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_nonzero__of__real__divide_0) ).

fof(c_0_447_448,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,X16,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X16,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X4) ),
    file('<stdin>',cls_dvd__trans_0) ).

fof(c_0_448_449,axiom,
    ! [X6,X7,X5,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | c_HOL_Oord__class_Oless(X6,X5,X4)
      | ~ c_HOL_Oord__class_Oless(X6,X7,X4)
      | ~ c_HOL_Oord__class_Oless(X7,X5,X4) ),
    file('<stdin>',cls_xt1_I10_J_0) ).

fof(c_0_449_450,axiom,
    ! [X6,X7,X5,X4] :
      ( ~ class_Orderings_Opreorder(X4)
      | c_HOL_Oord__class_Oless(X5,X6,X4)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X4)
      | ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
    file('<stdin>',cls_order__less__trans_0) ).

fof(c_0_450_451,axiom,
    ! [X6,X7,X5,X4] :
      ( ~ class_Orderings_Opreorder(X4)
      | c_HOL_Oord__class_Oless(X5,X6,X4)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X4)
      | ~ c_lessequals(X5,X7,X4) ),
    file('<stdin>',cls_order__le__less__trans_0) ).

fof(c_0_451_452,axiom,
    ! [X6,X7,X5,X4] :
      ( ~ class_Orderings_Opreorder(X4)
      | c_HOL_Oord__class_Oless(X5,X6,X4)
      | ~ c_lessequals(X7,X6,X4)
      | ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
    file('<stdin>',cls_order__less__le__trans_0) ).

fof(c_0_452_453,axiom,
    ! [X6,X7,X5,X4] :
      ( ~ class_Orderings_Opreorder(X4)
      | c_lessequals(X5,X6,X4)
      | ~ c_lessequals(X7,X6,X4)
      | ~ c_lessequals(X5,X7,X4) ),
    file('<stdin>',cls_order__trans_0) ).

fof(c_0_453_454,axiom,
    ! [X6,X7,X5,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | c_HOL_Oord__class_Oless(X6,X5,X4)
      | ~ c_HOL_Oord__class_Oless(X6,X7,X4)
      | ~ c_lessequals(X7,X5,X4) ),
    file('<stdin>',cls_xt1_I8_J_0) ).

fof(c_0_454_455,axiom,
    ! [X6,X7,X5,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | c_HOL_Oord__class_Oless(X6,X5,X4)
      | ~ c_lessequals(X6,X7,X4)
      | ~ c_HOL_Oord__class_Oless(X7,X5,X4) ),
    file('<stdin>',cls_xt1_I7_J_0) ).

fof(c_0_455_456,axiom,
    ! [X6,X7,X5,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | c_lessequals(X6,X5,X4)
      | ~ c_lessequals(X6,X7,X4)
      | ~ c_lessequals(X7,X5,X4) ),
    file('<stdin>',cls_xt1_I6_J_0) ).

fof(c_0_456_457,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4) ),
    file('<stdin>',cls_abs__mult_0) ).

fof(c_0_457_458,axiom,
    ! [X7,X5,X4] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X4)
      | c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X5,X7,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X5,X4),c_HOL_Osgn__class_Osgn(X7,X4),X4) ),
    file('<stdin>',cls_sgn__mult_0) ).

fof(c_0_458_459,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X3,X4),c_HOL_Osgn__class_Osgn(X2,X4),X4) ),
    file('<stdin>',cls_sgn__times_0) ).

fof(c_0_459_460,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
    file('<stdin>',cls_minus__add__distrib_0) ).

fof(c_0_460_461,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
    file('<stdin>',cls_minus__add_0) ).

fof(c_0_461_462,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4) ),
    file('<stdin>',cls_Lim_Ominus__diff__minus_0) ).

fof(c_0_462_463,axiom,
    ! [X7,X5,X4] :
      ( ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),X4) = c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X5,X4),c_RealVector_Oof__real(X7,X4),X4) ),
    file('<stdin>',cls_of__real__add_0) ).

fof(c_0_463_464,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
    file('<stdin>',cls_neg__less__iff__less_0) ).

fof(c_0_464_465,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_lessequals(X3,X2,X4)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
    file('<stdin>',cls_neg__le__iff__le_0) ).

fof(c_0_465_466,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,X2,X4),X2,X4) = c_Divides_Odiv__class_Omod(X3,X2,X4) ),
    file('<stdin>',cls_mod__add__self2_0) ).

fof(c_0_466_467,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X4),X2,X4) = c_Divides_Odiv__class_Omod(X3,X2,X4) ),
    file('<stdin>',cls_mod__add__self1_0) ).

fof(c_0_467_468,axiom,
    ! [X7,X5,X4] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X4)
      | c_HOL_Otimes__class_Otimes(X5,c_HOL_Otimes__class_Otimes(X5,X7,X4),X4) = c_HOL_Otimes__class_Otimes(X5,X7,X4) ),
    file('<stdin>',cls_mult__left__idem_0) ).

fof(c_0_468_469,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,X2,X4),X2,X4) = c_Divides_Odiv__class_Omod(X3,X2,X4) ),
    file('<stdin>',cls_mod__mod__trivial_0) ).

fof(c_0_469_470,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4),X4) = X2 ),
    file('<stdin>',cls_add__minus__cancel_0) ).

fof(c_0_470_471,axiom,
    ! [X15,X18,X19] :
      ( c_lessequals(X19,X15,tc_RealDef_Oreal)
      | ~ c_lessequals(X18,X15,tc_RealDef_Oreal)
      | ~ c_lessequals(X19,X18,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__le__trans_0) ).

fof(c_0_471_472,axiom,
    ! [X5,X8,X4] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X4)
      | c_Polynomial_Opoly(c_HOL_Ouminus__class_Ouminus(X8,tc_Polynomial_Opoly(X4)),X5,X4) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Opoly(X8,X5,X4),X4) ),
    file('<stdin>',cls_poly__minus_0) ).

fof(c_0_472_473,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
    file('<stdin>',cls_minus__divide__right_0) ).

fof(c_0_473_474,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4) ),
    file('<stdin>',cls_abs__le__D2_0) ).

fof(c_0_474_475,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4) ),
    file('<stdin>',cls_abs__less__iff_1) ).

fof(c_0_475_476,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X4),X3,X4) ),
    file('<stdin>',cls_minus__less__iff_1) ).

fof(c_0_476_477,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) ),
    file('<stdin>',cls_minus__less__iff_0) ).

fof(c_0_477_478,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
    file('<stdin>',cls_less__minus__iff_1) ).

fof(c_0_478_479,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
    file('<stdin>',cls_less__minus__iff_0) ).

fof(c_0_479_480,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X4),X3,X4) ),
    file('<stdin>',cls_minus__le__iff_1) ).

fof(c_0_480_481,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) ),
    file('<stdin>',cls_minus__le__iff_0) ).

fof(c_0_481_482,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
    file('<stdin>',cls_le__minus__iff_1) ).

fof(c_0_482_483,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
    file('<stdin>',cls_le__minus__iff_0) ).

fof(c_0_483_484,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4)
      | X2 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_nonzero__minus__divide__right_0) ).

fof(c_0_484_485,axiom,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X5,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),c_HOL_Oinverse__class_Oinverse(X5,X4),X4) ),
    file('<stdin>',cls_one__less__inverse__iff_0) ).

fof(c_0_485_486,axiom,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Oone__class_Oone(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),c_HOL_Oinverse__class_Oinverse(X5,X4),X4) ),
    file('<stdin>',cls_one__less__inverse__iff_1) ).

fof(c_0_486_487,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Oinverse(X3,X4),X4) ),
    file('<stdin>',cls_inverse__nonnegative__iff__nonnegative_0) ).

fof(c_0_487_488,axiom,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X5,X4)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(X4),c_HOL_Oinverse__class_Oinverse(X5,X4),X4) ),
    file('<stdin>',cls_one__le__inverse__iff_0) ).

fof(c_0_488_489,axiom,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X5,c_HOL_Oone__class_Oone(X4),X4)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(X4),c_HOL_Oinverse__class_Oinverse(X5,X4),X4) ),
    file('<stdin>',cls_one__le__inverse__iff_1) ).

fof(c_0_489_490,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_inverse__negative__iff__negative_0) ).

fof(c_0_490_491,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_inverse__nonpositive__iff__nonpositive_0) ).

fof(c_0_491_492,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Oinverse(X3,X4),X4) ),
    file('<stdin>',cls_inverse__positive__iff__positive_0) ).

fof(c_0_492_493,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_inverse__negative__imp__negative_0) ).

fof(c_0_493_494,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Oinverse(X3,X4),X4) ),
    file('<stdin>',cls_inverse__positive__imp__positive_0) ).

fof(c_0_494_495,axiom,
    ! [X9,X5,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(X9,c_HOL_Ouminus__class_Ouminus(X5,X4),X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X9,X5,X4),X4) ),
    file('<stdin>',cls_mult__right_Ominus_0) ).

fof(c_0_495_496,axiom,
    ! [X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
    file('<stdin>',cls_mult_Ominus__right_0) ).

fof(c_0_496_497,axiom,
    ! [X7,X5,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X5,X4),X7,X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X5,X7,X4),X4) ),
    file('<stdin>',cls_mult__left_Ominus_0) ).

fof(c_0_497_498,axiom,
    ! [X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
    file('<stdin>',cls_mult_Ominus__left_0) ).

fof(c_0_498_499,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) ),
    file('<stdin>',cls_minus__divide__left_0) ).

fof(c_0_499_500,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oring(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
    file('<stdin>',cls_minus__mult__right_0) ).

fof(c_0_500_501,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oring(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) ),
    file('<stdin>',cls_minus__mult__left_0) ).

fof(c_0_501_502,axiom,
    ! [X5,X3,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Ouminus__class_Ouminus(X5,X4),X4) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X3,X5,X4),X4) ),
    file('<stdin>',cls_scaleR__minus__right_0) ).

fof(c_0_502_503,axiom,
    ! [X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X3,X2,X4),X4) ),
    file('<stdin>',cls_scaleR_Ominus__right_0) ).

fof(c_0_503_504,axiom,
    ! [X7,X5,X4] :
      ( ~ class_RealVector_Oreal__normed__field(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X5,X4),X7,X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4) ),
    file('<stdin>',cls_divide_Ominus_0) ).

fof(c_0_504_505,axiom,
    ! [X5,X3,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),X5,X4) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X3,X5,X4),X4) ),
    file('<stdin>',cls_scaleR__minus__left_0) ).

fof(c_0_505_506,axiom,
    ! [X9,X5,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X9,X4) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X5,X9,X4),X4) ),
    file('<stdin>',cls_scaleR__left_Ominus_0) ).

fof(c_0_506_507,axiom,
    ! [X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),X2,X4) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X3,X2,X4),X4) ),
    file('<stdin>',cls_scaleR_Ominus__left_0) ).

fof(c_0_507_508,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_neg__le__0__iff__le_0) ).

fof(c_0_508_509,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_Rational_Oordered__idom__class_Osgn__less_0) ).

fof(c_0_509_510,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Osgn__class_Osgn(X3,X4),X4) ),
    file('<stdin>',cls_Rational_Oordered__idom__class_Osgn__greater_0) ).

fof(c_0_510_511,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
    file('<stdin>',cls_neg__0__le__iff__le_0) ).

fof(c_0_511_512,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_neg__less__0__iff__less_0) ).

fof(c_0_512_513,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
    file('<stdin>',cls_neg__0__less__iff__less_0) ).

fof(c_0_513_514,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Opreorder(X4)
      | c_HOL_Oord__class_Oless(X5,X7,X4)
      | c_lessequals(X7,X5,X4)
      | ~ c_lessequals(X5,X7,X4) ),
    file('<stdin>',cls_less__le__not__le_2) ).

fof(c_0_514_515,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    file('<stdin>',cls_neg__less__iff__less_1) ).

fof(c_0_515_516,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
      | ~ c_lessequals(X3,X2,X4) ),
    file('<stdin>',cls_le__imp__neg__le_0) ).

fof(c_0_516_517,axiom,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X4),c_HOL_Oone__class_Oone(X4),X4),X4) ),
    file('<stdin>',cls_zero__less__two_0) ).

fof(c_0_517_518,axiom,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X5,X4),c_HOL_Oone__class_Oone(X4),X4)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_inverse__less__1__iff_1) ).

fof(c_0_518_519,axiom,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X5,X4),c_HOL_Oone__class_Oone(X4),X4)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_inverse__le__1__iff_1) ).

fof(c_0_519_520,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Oinverse(X3,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_inverse__nonnegative__iff__nonnegative_1) ).

fof(c_0_520_521,axiom,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X5,X4),c_HOL_Oone__class_Oone(X4),X4)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(X4),X5,X4) ),
    file('<stdin>',cls_inverse__le__1__iff_2) ).

fof(c_0_521_522,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_inverse__negative__iff__negative_1) ).

fof(c_0_522_523,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_inverse__nonpositive__iff__nonpositive_1) ).

fof(c_0_523_524,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Oinverse(X3,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_inverse__positive__iff__positive_1) ).

fof(c_0_524_525,axiom,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X5,X4),c_HOL_Oone__class_Oone(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),X5,X4) ),
    file('<stdin>',cls_inverse__less__1__iff_2) ).

fof(c_0_525_526,axiom,
    ! [X5,X11] :
      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),X11,tc_RealDef_Oreal) ),
    file('<stdin>',cls_abs__le__interval__iff_0) ).

fof(c_0_526_527,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | c_HOL_Otimes__class_Otimes(X3,X3,X4) != c_HOL_Otimes__class_Otimes(X2,X2,X4)
      | X3 = c_HOL_Ouminus__class_Ouminus(X2,X4)
      | X3 = X2 ),
    file('<stdin>',cls_square__eq__iff_0) ).

fof(c_0_527_528,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Oplus__class_Oplus(X3,X2,X4),X4) = X2 ),
    file('<stdin>',cls_minus__add__cancel_0) ).

fof(c_0_528_529,axiom,
    ! [X6,X7,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X6,X4),c_HOL_Oplus__class_Oplus(X7,X6,X4),X4) = X7 ),
    file('<stdin>',cls_add__cancel__end_1) ).

fof(c_0_529_530,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
    file('<stdin>',cls_le__minus__self__iff_0) ).

fof(c_0_530_531,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X3,X4) ),
    file('<stdin>',cls_minus__le__self__iff_0) ).

fof(c_0_531_532,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
    file('<stdin>',cls_less__eq__neg__nonpos_0) ).

fof(c_0_532_533,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X3,X4) ),
    file('<stdin>',cls_neg__less__eq__nonneg_0) ).

fof(c_0_533_534,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
    file('<stdin>',cls_less__minus__self__iff_0) ).

fof(c_0_534_535,axiom,
    ! [X16,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Ozero__class_Ozero(X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X16,X4),X16,X4) ),
    file('<stdin>',cls_eq__divide__eq_4) ).

fof(c_0_535_536,axiom,
    ! [X16,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X16,X4),X16,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_divide__eq__eq_4) ).

fof(c_0_536_537,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_neg__le__0__iff__le_1) ).

fof(c_0_537_538,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_Rational_Oordered__idom__class_Osgn__less_1) ).

fof(c_0_538_539,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Osgn__class_Osgn(X3,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_Rational_Oordered__idom__class_Osgn__greater_1) ).

fof(c_0_539_540,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_neg__0__le__iff__le_1) ).

fof(c_0_540_541,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_neg__less__0__iff__less_1) ).

fof(c_0_541_542,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_negative__imp__inverse__negative_0) ).

fof(c_0_542_543,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Oinverse(X3,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_positive__imp__inverse__positive_0) ).

fof(c_0_543_544,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_neg__0__less__iff__less_1) ).

fof(c_0_544_545,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(X2,X3,X4) ),
    file('<stdin>',cls_inverse__divide_0) ).

fof(c_0_545_546,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(X3,X2,X4)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4) ),
    file('<stdin>',cls_abs__le__D1_0) ).

fof(c_0_546_547,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4) ),
    file('<stdin>',cls_abs__less__iff_0) ).

fof(c_0_547_548,axiom,
    ! [X21,X15,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X21,X15,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X21,X4),X15,X4) ),
    file('<stdin>',cls_abs__dvd__iff_0) ).

fof(c_0_548_549,axiom,
    ! [X21,X15,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X21,X15,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X21,c_HOL_Oabs__class_Oabs(X15,X4),X4) ),
    file('<stdin>',cls_dvd__abs__iff_0) ).

fof(c_0_549_550,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X5,X7,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X5,X4),X7,X4) ),
    file('<stdin>',cls_minus__dvd__iff_0) ).

fof(c_0_550_551,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X5,X7,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X5,c_HOL_Ouminus__class_Ouminus(X7,X4),X4) ),
    file('<stdin>',cls_dvd__minus__iff_0) ).

fof(c_0_551_552,axiom,
    ! [X6,X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | ~ class_Int_Onumber__ring(X4)
      | c_HOL_Oplus__class_Oplus(X5,X7,X4) != c_HOL_Oplus__class_Oplus(X5,X6,X4)
      | X7 = X6 ),
    file('<stdin>',cls_class__ringb_Oadd__cancel_0) ).

fof(c_0_552_553,axiom,
    ! [X5,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,X5,X4) != c_RealVector_OscaleR__class_OscaleR(X2,X5,X4)
      | X5 = c_HOL_Ozero__class_Ozero(X4)
      | X3 = X2 ),
    file('<stdin>',cls_scaleR__cancel__right_0) ).

fof(c_0_553_554,axiom,
    ! [X7,X5,X3,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,X5,X4) != c_RealVector_OscaleR__class_OscaleR(X3,X7,X4)
      | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X5 = X7 ),
    file('<stdin>',cls_scaleR__cancel__left_0) ).

fof(c_0_554_555,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_le__minus__self__iff_1) ).

fof(c_0_555_556,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_minus__le__self__iff_1) ).

fof(c_0_556_557,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
      | c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_less__eq__neg__nonpos_1) ).

fof(c_0_557_558,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_neg__less__eq__nonneg_1) ).

fof(c_0_558_559,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_less__minus__self__iff_1) ).

fof(c_0_559_560,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ),
    file('<stdin>',cls_minus__diff__eq_0) ).

fof(c_0_560_561,axiom,
    ! [X16,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | X3 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X16,X4),X16,X4)
      | X16 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_eq__divide__eq_3) ).

fof(c_0_561_562,axiom,
    ! [X16,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X16,X4),X16,X4) = X3
      | X16 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_divide__eq__eq_3) ).

fof(c_0_562_563,axiom,
    ! [X16,X2,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | X2 = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X16,X4)
      | X16 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_divide__eq__eq_0) ).

fof(c_0_563_564,axiom,
    ! [X16,X2,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X16,X4) = X2
      | X16 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_eq__divide__eq_0) ).

fof(c_0_564_565,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | X5 = X7
      | ~ c_lessequals(X5,X7,X4)
      | ~ c_lessequals(X7,X5,X4) ),
    file('<stdin>',cls_order__antisym__conv_0) ).

fof(c_0_565_566,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | X5 = X7
      | ~ c_lessequals(X7,X5,X4)
      | ~ c_lessequals(X5,X7,X4) ),
    file('<stdin>',cls_order__eq__iff_2) ).

fof(c_0_566_567,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | X5 = X7
      | ~ c_lessequals(X7,X5,X4)
      | ~ c_lessequals(X5,X7,X4) ),
    file('<stdin>',cls_order__antisym_0) ).

fof(c_0_567_568,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(X4),X4),X4) ),
    file('<stdin>',cls_less__add__one_0) ).

fof(c_0_568_569,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X4)
      | c_HOL_Oplus__class_Oplus(X3,X2,X4) != c_HOL_Oplus__class_Oplus(X3,X16,X4)
      | X2 = X16 ),
    file('<stdin>',cls_add__imp__eq_0) ).

fof(c_0_569_570,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X4)
      | c_HOL_Oplus__class_Oplus(X3,X2,X4) != c_HOL_Oplus__class_Oplus(X3,X16,X4)
      | X2 = X16 ),
    file('<stdin>',cls_add__left__cancel_0) ).

fof(c_0_570_571,axiom,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X4)
      | c_HOL_Oplus__class_Oplus(X2,X3,X4) != c_HOL_Oplus__class_Oplus(X16,X3,X4)
      | X2 = X16 ),
    file('<stdin>',cls_add__right__cancel_0) ).

fof(c_0_571_572,axiom,
    ! [X27,X28,X5,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Ominus__class_Ominus(X5,X5,X4) != c_HOL_Ominus__class_Ominus(X28,X27,X4)
      | X28 = X27 ),
    file('<stdin>',cls_eq__eqI_0) ).

fof(c_0_572_573,axiom,
    ! [X7,X9,X5,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Ominus__class_Ominus(X9,X7,X4) != c_HOL_Ominus__class_Ominus(X5,X5,X4)
      | X9 = X7 ),
    file('<stdin>',cls_eq__eqI_1) ).

fof(c_0_573_574,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Opreorder(X4)
      | ~ c_lessequals(X7,X5,X4)
      | ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
    file('<stdin>',cls_less__le__not__le_1) ).

fof(c_0_574_575,axiom,
    ! [X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | ~ c_lessequals(X5,X5,X4)
      | ~ c_HOL_Oord__class_Oless(X5,X5,X4) ),
    file('<stdin>',cls_linorder__antisym__conv2_1) ).

fof(c_0_575_576,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | ~ c_HOL_Oord__class_Oless(X5,X7,X4)
      | ~ c_lessequals(X7,X5,X4) ),
    file('<stdin>',cls_linorder__not__less_1) ).

fof(c_0_576_577,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | ~ c_lessequals(X5,X7,X4)
      | ~ c_HOL_Oord__class_Oless(X7,X5,X4) ),
    file('<stdin>',cls_linorder__not__le_1) ).

fof(c_0_577_578,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Orderings_Opreorder(X4)
      | ~ c_HOL_Oord__class_Oless(X2,X3,X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    file('<stdin>',cls_order__less__asym_H_0) ).

fof(c_0_578_579,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Opreorder(X4)
      | ~ c_HOL_Oord__class_Oless(X7,X5,X4)
      | ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
    file('<stdin>',cls_order__less__asym_0) ).

fof(c_0_579_580,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | ~ c_HOL_Oord__class_Oless(X5,X7,X4)
      | ~ c_HOL_Oord__class_Oless(X7,X5,X4) ),
    file('<stdin>',cls_not__less__iff__gr__or__eq_1) ).

fof(c_0_580_581,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(X2,X3,X4) ),
    file('<stdin>',cls_xt1_I9_J_0) ).

fof(c_0_581_582,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Oinverse__class_Odivide(X3,X2,X4) ),
    file('<stdin>',cls_minus__divide__divide_0) ).

fof(c_0_582_583,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X3,X4),X4) ),
    file('<stdin>',cls_zero__le__square_0) ).

fof(c_0_583_584,axiom,
    ! [X16,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | X16 = c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X16,X4),X16,X4) ),
    file('<stdin>',cls_eq__divide__imp_0) ).

fof(c_0_584_585,axiom,
    ! [X16,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | X16 = c_HOL_Ozero__class_Ozero(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X16,X4),X16,X4) = X3 ),
    file('<stdin>',cls_divide__eq__imp_0) ).

fof(c_0_585_586,axiom,
    ! [X21,X15,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X21,X4),X15,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X21,X15,X4) ),
    file('<stdin>',cls_abs__dvd__iff_1) ).

fof(c_0_586_587,axiom,
    ! [X21,X15,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X21,c_HOL_Oabs__class_Oabs(X15,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X21,X15,X4) ),
    file('<stdin>',cls_dvd__abs__iff_1) ).

fof(c_0_587_588,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X5,X4),X7,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X5,X7,X4) ),
    file('<stdin>',cls_minus__dvd__iff_1) ).

fof(c_0_588_589,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X5,c_HOL_Ouminus__class_Ouminus(X7,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X5,X7,X4) ),
    file('<stdin>',cls_dvd__minus__iff_1) ).

fof(c_0_589_590,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Oinverse__class_Odivide(X3,X2,X4)
      | X2 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_nonzero__minus__divide__divide_0) ).

fof(c_0_590_591,axiom,
    ! [X5,X11] :
      ( c_lessequals(X5,X11,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),X11,tc_RealDef_Oreal) ),
    file('<stdin>',cls_abs__le__interval__iff_1) ).

fof(c_0_591_592,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X4),X2,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_mod__mult__self1__is__0_0) ).

fof(c_0_592_593,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,X2,X4),X2,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_mod__mult__self2__is__0_0) ).

fof(c_0_593_594,axiom,
    ! [X6,X10] :
      ( X6 = X10
      | ~ c_lessequals(X10,X6,tc_RealDef_Oreal)
      | ~ c_lessequals(X6,X10,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__le__antisym_0) ).

fof(c_0_594_595,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X3,X2,X4),X2,X4) = X3 ),
    file('<stdin>',cls_diff__add__cancel_0) ).

fof(c_0_595_596,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X2,X4) = X3 ),
    file('<stdin>',cls_add__diff__cancel_0) ).

fof(c_0_596_597,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4) ),
    file('<stdin>',cls_dvd__triv__right_0) ).

fof(c_0_597_598,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
    file('<stdin>',cls_dvd__triv__left_0) ).

fof(c_0_598_599,axiom,
    ! [X15,X2,X4] :
      ( ~ class_Ring__and__Field_Odvd(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X2,X15,X4),X4) ),
    file('<stdin>',cls_dvdI_0) ).

fof(c_0_599_600,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X3,X4),X4) = c_HOL_Otimes__class_Otimes(X3,X3,X4) ),
    file('<stdin>',cls_abs__mult__self_0) ).

fof(c_0_600_601,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oring(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
    file('<stdin>',cls_minus__mult__commute_0) ).

fof(c_0_601_602,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oring(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Otimes__class_Otimes(X3,X2,X4) ),
    file('<stdin>',cls_minus__mult__minus_0) ).

fof(c_0_602_603,axiom,
    ! [X2,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,X4),c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Otimes__class_Otimes(X2,X2,X4) ),
    file('<stdin>',cls_square__eq__iff_1) ).

fof(c_0_603_604,axiom,
    ! [X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X4),X4),X4) ),
    file('<stdin>',cls_zero__less__abs__iff_0) ).

fof(c_0_604_605,axiom,
    ! [X7,X5] :
      ( c_lessequals(X5,X7,tc_RealDef_Oreal)
      | ~ c_lessequals(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__le__iff_0) ).

fof(c_0_605_606,axiom,
    ! [X7,X5] :
      ( c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__less__iff_0) ).

fof(c_0_606_607,axiom,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X4),X4),tc_RealDef_Oreal) ),
    file('<stdin>',cls_zero__less__norm__iff_0) ).

fof(c_0_607_608,axiom,
    ! [X7] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__ge__0__iff_0) ).

fof(c_0_608_609,axiom,
    ! [X5] :
      ( c_lessequals(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_NthRoot_Osqrt(X5),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__le__1__iff_0) ).

fof(c_0_609_610,axiom,
    ! [X7] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__gt__0__iff_0) ).

fof(c_0_610_611,axiom,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__lt__0__iff_0) ).

fof(c_0_611_612,axiom,
    ! [X7] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__gt__1__iff_0) ).

fof(c_0_612_613,axiom,
    ! [X7] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__ge__1__iff_0) ).

fof(c_0_613_614,axiom,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__lt__1__iff_0) ).

fof(c_0_614_615,axiom,
    ! [X5] :
      ( c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_NthRoot_Osqrt(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__le__0__iff_0) ).

fof(c_0_615_616,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(X2,X3,X4) != c_HOL_Ozero__class_Ozero(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X4) ),
    file('<stdin>',cls_dvd__eq__mod__eq__0_1) ).

fof(c_0_616_617,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(X2,X3,X4) = c_HOL_Ozero__class_Ozero(X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X4) ),
    file('<stdin>',cls_dvd__imp__mod__0_0) ).

fof(c_0_617_618,axiom,
    ! [X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__ge__zero_0) ).

fof(c_0_618_619,axiom,
    ! [X7] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__ge__0__iff_1) ).

fof(c_0_619_620,axiom,
    ! [X5] :
      ( c_lessequals(c_NthRoot_Osqrt(X5),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__le__1__iff_1) ).

fof(c_0_620_621,axiom,
    ! [X7] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__gt__0__iff_1) ).

fof(c_0_621_622,axiom,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__gt__zero_0) ).

fof(c_0_622_623,axiom,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__lt__0__iff_1) ).

fof(c_0_623_624,axiom,
    ! [X7] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__gt__1__iff_1) ).

fof(c_0_624_625,axiom,
    ! [X7] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__ge__1__iff_1) ).

fof(c_0_625_626,axiom,
    ! [X5] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__ge__one_0) ).

fof(c_0_626_627,axiom,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__lt__1__iff_1) ).

fof(c_0_627_628,axiom,
    ! [X5] :
      ( c_lessequals(c_NthRoot_Osqrt(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__le__0__iff_1) ).

fof(c_0_628_629,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | X3 = X2
      | ~ c_lessequals(X3,X2,X4) ),
    file('<stdin>',cls_order__le__neq__trans_0) ).

fof(c_0_629_630,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_lessequals(X3,X2,X4)
      | X3 = X2 ),
    file('<stdin>',cls_order__neq__le__trans_0) ).

fof(c_0_630_631,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | X5 = X7
      | ~ c_lessequals(X5,X7,X4)
      | c_HOL_Oord__class_Oless(X5,X7,X4) ),
    file('<stdin>',cls_linorder__antisym__conv1_0) ).

fof(c_0_631_632,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | X5 = X7
      | c_HOL_Oord__class_Oless(X5,X7,X4)
      | ~ c_lessequals(X5,X7,X4) ),
    file('<stdin>',cls_linorder__antisym__conv2_0) ).

fof(c_0_632_633,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | c_HOL_Oord__class_Oless(X2,X3,X4)
      | ~ c_lessequals(X2,X3,X4)
      | X3 = X2 ),
    file('<stdin>',cls_xt1_I12_J_0) ).

fof(c_0_633_634,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | c_HOL_Oord__class_Oless(X2,X3,X4)
      | X3 = X2
      | ~ c_lessequals(X2,X3,X4) ),
    file('<stdin>',cls_xt1_I11_J_0) ).

fof(c_0_634_635,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | X5 = X7
      | c_HOL_Oord__class_Oless(X5,X7,X4)
      | ~ c_lessequals(X5,X7,X4) ),
    file('<stdin>',cls_order__le__less_0) ).

fof(c_0_635_636,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | c_HOL_Oord__class_Oless(X5,X7,X4)
      | X5 = X7
      | ~ c_lessequals(X5,X7,X4) ),
    file('<stdin>',cls_order__less__le_2) ).

fof(c_0_636_637,axiom,
    ! [X7,X5] :
      ( c_lessequals(c_Transcendental_Oarctan(X5),c_Transcendental_Oarctan(X7),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X7,tc_RealDef_Oreal) ),
    file('<stdin>',cls_arctan__monotone_H_0) ).

fof(c_0_637_638,axiom,
    ! [X7,X5] :
      ( c_lessequals(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X7,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__le__iff_1) ).

fof(c_0_638_639,axiom,
    ! [X7,X5] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X5),c_Transcendental_Oarctan(X7),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal) ),
    file('<stdin>',cls_arctan__monotone_0) ).

fof(c_0_639_640,axiom,
    ! [X7,X5] :
      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__less__iff_1) ).

fof(c_0_640_641,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Int_Onumber__ring(X4)
      | c_HOL_Oinverse__class_Odivide(X5,X7,X4) = c_HOL_Otimes__class_Otimes(X5,c_HOL_Oinverse__class_Oinverse(X7,X4),X4) ),
    file('<stdin>',cls_class__fieldgb_Odivide__inverse_0) ).

fof(c_0_641_642,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_abs__le__zero__iff_0) ).

fof(c_0_642_643,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | c_lessequals(X5,X7,X4)
      | ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
    file('<stdin>',cls_order__le__less_1) ).

fof(c_0_643_644,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Opreorder(X4)
      | c_lessequals(X5,X7,X4)
      | ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
    file('<stdin>',cls_order__less__imp__le_0) ).

fof(c_0_644_645,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X3,X4),X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_abs__minus__le__zero_0) ).

fof(c_0_645_646,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_abs__not__less__zero_0) ).

fof(c_0_646_647,axiom,
    ! [X7,X5,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Ominus__class_Ominus(X5,X7,X4) = c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X7,X4),X4) ),
    file('<stdin>',cls_diff__def_0) ).

fof(c_0_647_648,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Int_Onumber__ring(X4)
      | c_HOL_Ominus__class_Ominus(X5,X7,X4) = c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X7,X4),X4) ),
    file('<stdin>',cls_class__ring_Osub__add_0) ).

fof(c_0_648_649,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ominus__class_Ominus(X3,X2,X4) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
    file('<stdin>',cls_diff__minus_0) ).

fof(c_0_649_650,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Ominus__class_Ominus(X3,X2,X4) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
    file('<stdin>',cls_ab__diff__minus_0) ).

fof(c_0_650_651,axiom,
    ! [X5,X11,X4] :
      ( ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_OscaleR__class_OscaleR(X11,X5,X4) = c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X11,X4),X5,X4) ),
    file('<stdin>',cls_scaleR__conv__of__real_0) ).

fof(c_0_651_652,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ominus__class_Ominus(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Oplus__class_Oplus(X3,X2,X4) ),
    file('<stdin>',cls_diff__minus__eq__add_0) ).

fof(c_0_652_653,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Oinverse__class_Odivide(X3,X2,X4) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X2,X4),X4) ),
    file('<stdin>',cls_divide__inverse_0) ).

fof(c_0_653_654,axiom,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | X5 = c_HOL_Ozero__class_Ozero(X4)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X5,X4),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__le__zero__iff_0) ).

fof(c_0_654_655,axiom,
    ! [X7,X5] :
      ( c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal)
      | X5 = X7
      | ~ c_lessequals(X5,X7,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__less__def_2) ).

fof(c_0_655_656,axiom,
    ! [X3,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X4)
      | c_HOL_Oabs__class_Oabs(X3,X4) = c_HOL_Ouminus__class_Ouminus(X3,X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_abs__if__lattice_0) ).

fof(c_0_656_657,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Osgn__class_Osgn(X3,X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_sgn__neg_0) ).

fof(c_0_657_658,axiom,
    ! [X7,X5] :
      ( c_lessequals(X5,X7,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__less__def_0) ).

fof(c_0_658_659,axiom,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X5,X4),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__not__less__zero_0) ).

fof(c_0_659_660,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_HOL_Oabs__class_Oabs(X3,X4) = c_HOL_Ouminus__class_Ouminus(X3,X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_abs__of__neg_0) ).

fof(c_0_660_661,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oabs__if(X4)
      | c_HOL_Oabs__class_Oabs(X3,X4) = c_HOL_Ouminus__class_Ouminus(X3,X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_abs__if_0) ).

fof(c_0_661_662,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_HOL_Oabs__class_Oabs(X3,X4) = c_HOL_Ouminus__class_Ouminus(X3,X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_abs__of__nonpos_0) ).

fof(c_0_662_663,axiom,
    ! [X2,X3,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Ozero__class_Ozero(X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_scaleR__cancel__right_1) ).

fof(c_0_663_664,axiom,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Osgn__if(X4)
      | c_HOL_Osgn__class_Osgn(X5,X4) = c_HOL_Oone__class_Oone(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X5,X4)
      | X5 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_sgn__if_1) ).

fof(c_0_664_665,axiom,
    ! [X5,X3] :
      ( c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X5 = X3 ),
    file('<stdin>',cls_real__add__minus__iff_0) ).

fof(c_0_665_666,axiom,
    ! [X7,X5,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,X4) ),
    file('<stdin>',cls_scaleR__cancel__left_1) ).

fof(c_0_666_667,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Osgn__class_Osgn(X3,X4) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X4),X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_sgn__1__neg_0) ).

fof(c_0_667_668,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Osgn__class_Osgn(X3,X4) = c_HOL_Oone__class_Oone(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_sgn__pos_0) ).

fof(c_0_668_669,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(X7,X5,X4)
      | c_HOL_Oord__class_Oless(X5,X7,X4)
      | X5 = X7 ),
    file('<stdin>',cls_linorder__neqE__ordered__idom_0) ).

fof(c_0_669_670,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | X5 = X7
      | c_HOL_Oord__class_Oless(X7,X5,X4)
      | c_HOL_Oord__class_Oless(X5,X7,X4) ),
    file('<stdin>',cls_not__less__iff__gr__or__eq_0) ).

fof(c_0_670_671,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | X5 = X7
      | c_HOL_Oord__class_Oless(X5,X7,X4)
      | c_HOL_Oord__class_Oless(X7,X5,X4) ),
    file('<stdin>',cls_linorder__antisym__conv3_0) ).

fof(c_0_671_672,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | c_HOL_Oord__class_Oless(X7,X5,X4)
      | X5 = X7
      | c_HOL_Oord__class_Oless(X5,X7,X4) ),
    file('<stdin>',cls_linorder__less__linear_0) ).

fof(c_0_672_673,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | c_HOL_Oord__class_Oless(X7,X5,X4)
      | c_HOL_Oord__class_Oless(X5,X7,X4)
      | X5 = X7 ),
    file('<stdin>',cls_linorder__neqE_0) ).

fof(c_0_673_674,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_HOL_Oabs__class_Oabs(X3,X4) = X3
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_abs__of__nonneg_0) ).

fof(c_0_674_675,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_HOL_Oabs__class_Oabs(X3,X4) = X3
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_abs__of__pos_0) ).

fof(c_0_675_676,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | c_HOL_Oord__class_Oless(X5,X7,X4)
      | c_lessequals(X7,X5,X4) ),
    file('<stdin>',cls_not__leE_0) ).

fof(c_0_676_677,axiom,
    ! [X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | c_HOL_Oord__class_Oless(X5,X5,X4)
      | c_lessequals(X5,X5,X4) ),
    file('<stdin>',cls_linorder__antisym__conv1_1) ).

fof(c_0_677_678,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | c_lessequals(X7,X5,X4)
      | c_HOL_Oord__class_Oless(X5,X7,X4) ),
    file('<stdin>',cls_linorder__not__less_0) ).

fof(c_0_678_679,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | c_HOL_Oord__class_Oless(X7,X5,X4)
      | c_lessequals(X5,X7,X4) ),
    file('<stdin>',cls_linorder__not__le_0) ).

fof(c_0_679_680,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | c_lessequals(X7,X5,X4)
      | c_lessequals(X5,X7,X4) ),
    file('<stdin>',cls_linorder__linear_0) ).

fof(c_0_680_681,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(X5,X7,X4) = c_HOL_Otimes__class_Otimes(X7,X5,X4) ),
    file('<stdin>',cls_class__semiring_Omul__c_0) ).

fof(c_0_681_682,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(X3,X2,X4) = c_HOL_Otimes__class_Otimes(X2,X3,X4) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I7_J_0) ).

fof(c_0_682_683,axiom,
    ! [X16,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(X3,X16,X4) = c_HOL_Oplus__class_Oplus(X16,X3,X4) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I24_J_0) ).

fof(c_0_683_684,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(X5,X7,X4) = c_HOL_Oplus__class_Oplus(X7,X5,X4) ),
    file('<stdin>',cls_class__semiring_Oadd__c_0) ).

fof(c_0_684_685,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
      | c_HOL_Oplus__class_Oplus(X3,X2,X4) = c_HOL_Oplus__class_Oplus(X2,X3,X4) ),
    file('<stdin>',cls_comm__monoid__add_Omult__commute_0) ).

fof(c_0_685_686,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | c_HOL_Otimes__class_Otimes(X3,X2,X4) != c_HOL_Oone__class_Oone(X4)
      | c_HOL_Oinverse__class_Oinverse(X3,X4) = X2 ),
    file('<stdin>',cls_inverse__unique_0) ).

fof(c_0_686_687,axiom,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X5,X4),c_HOL_Oabs__class_Oabs(X5,X4),X4) = X5 ),
    file('<stdin>',cls_mult__sgn__abs_0) ).

fof(c_0_687_688,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Oplus__class_Oplus(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
      | c_HOL_Ouminus__class_Ouminus(X3,X4) = X2 ),
    file('<stdin>',cls_minus__unique_0) ).

fof(c_0_688_689,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Oplus__class_Oplus(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ouminus__class_Ouminus(X2,X4) ),
    file('<stdin>',cls_eq__neg__iff__add__eq__0_1) ).

fof(c_0_689_690,axiom,
    ! [X5,X4] :
      ( ~ class_Int_Onumber__ring(X4)
      | c_HOL_Ouminus__class_Ouminus(X5,X4) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X4),X4),X5,X4) ),
    file('<stdin>',cls_class__ring_Oneg__mul_0) ).

fof(c_0_690_691,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Oabs__class_Oabs(X3,X4),X4) ),
    file('<stdin>',cls_abs__ge__minus__self_0) ).

fof(c_0_691_692,axiom,
    ! [X11] :
      ( c_HOL_Oabs__class_Oabs(X11,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X11,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__abs__def_0) ).

fof(c_0_692_693,axiom,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_not__one__less__zero_0) ).

fof(c_0_693_694,axiom,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X4)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_not__one__le__zero_0) ).

fof(c_0_694_695,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X4)
      | c_HOL_Otimes__class_Otimes(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X2 = c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_mult__eq__0__iff_0) ).

fof(c_0_695_696,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X4)
      | c_HOL_Otimes__class_Otimes(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X2 = c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_no__zero__divisors_0) ).

fof(c_0_696_697,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X4)
      | c_HOL_Otimes__class_Otimes(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4)
      | X2 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_no__zero__divirors__neq0_0) ).

fof(c_0_697_698,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | ~ class_Int_Onumber__ring(X4)
      | c_HOL_Ominus__class_Ominus(X5,X7,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X5 = X7 ),
    file('<stdin>',cls_class__ringb_Osubr0__iff_0) ).

fof(c_0_698_699,axiom,
    ! [X5,X3,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,X5,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X5 = c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_scaleR__eq__0__iff_0) ).

fof(c_0_699_700,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_dvd__0__left_0) ).

fof(c_0_700_701,axiom,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Osgn__if(X4)
      | c_HOL_Osgn__class_Osgn(X5,X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X5,X4)
      | X5 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_sgn__if_2) ).

fof(c_0_701_702,axiom,
    ! [X5,X3,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | ~ class_Int_Onumber__ring(X4)
      | X5 != c_HOL_Oplus__class_Oplus(X5,X3,X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_class__ringb_Oadd__r0__iff_0) ).

fof(c_0_702_703,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Oinverse__class_Odivide(X3,X2,X4) != c_HOL_Oone__class_Oone(X4)
      | X2 = c_HOL_Ozero__class_Ozero(X4)
      | X3 = X2 ),
    file('<stdin>',cls_right__inverse__eq_0) ).

fof(c_0_703_704,axiom,
    ! [X6,X10] :
      ( c_lessequals(X10,X6,tc_RealDef_Oreal)
      | c_lessequals(X6,X10,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__le__linear_0) ).

fof(c_0_704_705,axiom,
    ! [X14,X15,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oabs__class_Oabs(X14,X4) != c_HOL_Oabs__class_Oabs(X15,X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X14,X15,X4) ),
    file('<stdin>',cls_dvd__if__abs__eq_0) ).

fof(c_0_705_706,axiom,
    ! [X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_abs__le__zero__iff_1) ).

fof(c_0_706_707,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_HOL_Oplus__class_Oplus(X3,X3,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_double__eq__0__iff_0) ).

fof(c_0_707_708,axiom,
    ! [X5] :
      ( c_NthRoot_Osqrt(X5) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__eq__zero__cancel_0) ).

fof(c_0_708_709,axiom,
    ! [X15,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oabs__class_Oabs(X15,X4) = c_HOL_Otimes__class_Otimes(X15,c_HOL_Osgn__class_Osgn(X15,X4),X4) ),
    file('<stdin>',cls_abs__sgn_0) ).

fof(c_0_709_710,axiom,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__le__zero__iff_1) ).

fof(c_0_710_711,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Ominus__class_Ominus(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X3 = X2 ),
    file('<stdin>',cls_eq__iff__diff__eq__0_1) ).

fof(c_0_711_712,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ominus__class_Ominus(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X3 = X2 ),
    file('<stdin>',cls_right__minus__eq_0) ).

fof(c_0_712_713,axiom,
    ! [X7,X5] :
      ( c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X7 = c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__add__eq__0__iff_0) ).

fof(c_0_713_714,axiom,
    ! [X5] :
      ( c_NthRoot_Osqrt(X5) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__not__eq__zero_0) ).

fof(c_0_714_715,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oabs__class_Oabs(X3,X4),X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_zero__less__abs__iff_1) ).

fof(c_0_715_716,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X4),X3,X4) = c_HOL_Oone__class_Oone(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_field__inverse_0) ).

fof(c_0_716_717,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X4),X3,X4) = c_HOL_Oone__class_Oone(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_left__inverse_0) ).

fof(c_0_717_718,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X3,X4),X4) = c_HOL_Oone__class_Oone(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_right__inverse_0) ).

fof(c_0_718_719,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Osgn__class_Osgn(X3,X4) != c_HOL_Oone__class_Oone(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    file('<stdin>',cls_sgn__1__pos_0) ).

fof(c_0_719_720,axiom,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X4),tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_zero__less__norm__iff_1) ).

fof(c_0_720_721,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X3,X4),X4) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X3,X4),X4) ),
    file('<stdin>',cls_abs__inverse_0) ).

fof(c_0_721_722,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X3,X4),X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X3,X4),X4) ),
    file('<stdin>',cls_inverse__minus__eq_0) ).

fof(c_0_722_723,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oabs__class_Oabs(X3,X4),X4) ),
    file('<stdin>',cls_abs__ge__zero_0) ).

fof(c_0_723_724,axiom,
    ! [X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | ~ c_HOL_Oord__class_Oless(X5,X5,X4) ),
    file('<stdin>',cls_linorder__neq__iff_1) ).

fof(c_0_724_725,axiom,
    ! [X5,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | ~ c_HOL_Oord__class_Oless(X5,X5,X4) ),
    file('<stdin>',cls_order__less__le_1) ).

fof(c_0_725_726,axiom,
    ! [X5,X4] :
      ( ~ class_Orderings_Opreorder(X4)
      | ~ c_HOL_Oord__class_Oless(X5,X5,X4) ),
    file('<stdin>',cls_order__less__irrefl_0) ).

fof(c_0_726_727,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X3,X4),X4) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X3,X4),X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_nonzero__abs__inverse_0) ).

fof(c_0_727_728,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X3,X4),X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X3,X4),X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_nonzero__inverse__minus__eq_0) ).

fof(c_0_728_729,axiom,
    ! [X2,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X4),X2,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_eq__neg__iff__add__eq__0_0) ).

fof(c_0_729_730,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,X4),X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_ab__left__minus_0) ).

fof(c_0_730_731,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Oplus__class_Oplus(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_right__minus_0) ).

fof(c_0_731_732,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,X4),X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_left__minus_0) ).

fof(c_0_732_733,axiom,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X4) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X5,X4),X4) ),
    file('<stdin>',cls_of__real_Ominus_0) ).

fof(c_0_733_734,axiom,
    ! [X3,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X4)
      | c_HOL_Oabs__class_Oabs(X3,X4) = X3
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_abs__if__lattice_1) ).

fof(c_0_734_735,axiom,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X4),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__ge__zero_0) ).

fof(c_0_735_736,axiom,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Int_Onumber__ring(X4)
      | c_HOL_Oinverse__class_Oinverse(X5,X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X5,X4) ),
    file('<stdin>',cls_class__fieldgb_Oinverse__divide_0) ).

fof(c_0_736_737,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(X3,c_HOL_Oabs__class_Oabs(X3,X4),X4) ),
    file('<stdin>',cls_abs__ge__self_0) ).

fof(c_0_737_738,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Oinverse__class_Oinverse(X3,X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X3,X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_nonzero__inverse__eq__divide_0) ).

fof(c_0_738_739,axiom,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X5,X4),X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X5,X4),X4) ),
    file('<stdin>',cls_sgn__minus_0) ).

fof(c_0_739_740,axiom,
    ! [X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_divide__self__if_0) ).

fof(c_0_740_741,axiom,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X4) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X5,X4),X4) ),
    file('<stdin>',cls_of__real__minus_0) ).

fof(c_0_741_742,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oabs__if(X4)
      | c_HOL_Oabs__class_Oabs(X3,X4) = X3
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_abs__if_1) ).

fof(c_0_742_743,axiom,
    ! [X11,X4] :
      ( ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_Oof__real(X11,X4) = c_RealVector_OscaleR__class_OscaleR(X11,c_HOL_Oone__class_Oone(X4),X4) ),
    file('<stdin>',cls_of__real__def_0) ).

fof(c_0_743_744,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X4),X3,X4) = c_HOL_Ouminus__class_Ouminus(X3,X4) ),
    file('<stdin>',cls_group__add__class_Odiff__0_0) ).

fof(c_0_744_745,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Oinverse__class_Oinverse(X3,X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X3,X4) ),
    file('<stdin>',cls_inverse__eq__divide_0) ).

fof(c_0_745_746,axiom,
    ! [X2,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_divide__eq__eq_1) ).

fof(c_0_746_747,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_divide__zero_0) ).

fof(c_0_747_748,axiom,
    ! [X2,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Ozero__class_Ozero(X4) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_eq__divide__eq_2) ).

fof(c_0_748_749,axiom,
    ! [X4] :
      ( ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_Oof__real(v_r,X4) = c_RealVector_OscaleR__class_OscaleR(v_r,c_HOL_Oone__class_Oone(X4),X4) ),
    file('<stdin>',cls_of__real__def__raw_0) ).

fof(c_0_749_750,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Odivide(X3,X3,X4) = c_HOL_Oone__class_Oone(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_divide__self__if_1) ).

fof(c_0_750_751,axiom,
    ! [X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_double__eq__0__iff_1) ).

fof(c_0_751_752,axiom,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | ~ class_Int_Onumber__ring(X4)
      | X5 = c_HOL_Oplus__class_Oplus(X5,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_class__ringb_Oadd__r0__iff_1) ).

fof(c_0_752_753,axiom,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oone__class_Oone(X4),X4) ),
    file('<stdin>',cls_zero__le__one_0) ).

fof(c_0_753_754,axiom,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oone__class_Oone(X4),X4) ),
    file('<stdin>',cls_zero__less__one_0) ).

fof(c_0_754_755,axiom,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | ~ class_Int_Onumber__ring(X4)
      | c_HOL_Ominus__class_Ominus(X5,X5,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_class__ringb_Osubr0__iff_1) ).

fof(c_0_755_756,axiom,
    ! [X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X4),X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_mod__0_0) ).

fof(c_0_756_757,axiom,
    ! [X3,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_scaleR_Ozero__right_0) ).

fof(c_0_757_758,axiom,
    ! [X3,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_scaleR__eq__0__iff_2) ).

fof(c_0_758_759,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I9_J_0) ).

fof(c_0_759_760,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I10_J_0) ).

fof(c_0_760_761,axiom,
    ! [X7,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X7,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_mult__left_Ozero_0) ).

fof(c_0_761_762,axiom,
    ! [X2,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X2,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_mult_Ozero__left_0) ).

fof(c_0_762_763,axiom,
    ! [X3,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_mult_Ozero__right_0) ).

fof(c_0_763_764,axiom,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(X5,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_mult__right_Ozero_0) ).

fof(c_0_764_765,axiom,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X5,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_class__semiring_Omul__0_0) ).

fof(c_0_765_766,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Omult__zero(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_mult__zero__left_0) ).

fof(c_0_766_767,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Omult__zero(X4)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_mult__zero__right_0) ).

fof(c_0_767_768,axiom,
    ! [X2,X4] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X2,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_mult__eq__0__iff_1) ).

fof(c_0_768_769,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X4)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_mult__eq__0__iff_2) ).

fof(c_0_769_770,axiom,
    ! [X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(X3,c_HOL_Oone__class_Oone(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_mod__by__1_0) ).

fof(c_0_770_771,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X4),X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_divide__zero__left_0) ).

fof(c_0_771_772,axiom,
    ! [X7,X4] :
      ( ~ class_RealVector_Oreal__normed__field(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X4),X7,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_divide_Ozero_0) ).

fof(c_0_772_773,axiom,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | X5 = c_HOL_Ozero__class_Ozero(X4)
      | c_HOL_Oinverse__class_Odivide(X5,X5,X4) = c_HOL_Oone__class_Oone(X4) ),
    file('<stdin>',cls_right__inverse__eq_1) ).

fof(c_0_773_774,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Oinverse__class_Odivide(X3,X3,X4) = c_HOL_Oone__class_Oone(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_divide__self_0) ).

fof(c_0_774_775,axiom,
    ! [X11] :
      ( c_HOL_Oabs__class_Oabs(X11,tc_RealDef_Oreal) = X11
      | c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__abs__def_1) ).

fof(c_0_775_776,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oone__class_Oone(X4),X4) = X3 ),
    file('<stdin>',cls_divide__1_0) ).

fof(c_0_776_777,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ominus__class_Ominus(X3,c_HOL_Ozero__class_Ozero(X4),X4) = X3 ),
    file('<stdin>',cls_diff__0__right_0) ).

fof(c_0_777_778,axiom,
    ! [X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(X3,c_HOL_Ozero__class_Ozero(X4),X4) = X3 ),
    file('<stdin>',cls_mod__by__0_0) ).

fof(c_0_778_779,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Omonoid__mult(X4)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Oone__class_Oone(X4),X4) = X3 ),
    file('<stdin>',cls_mult__1__right_0) ).

fof(c_0_779_780,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Omonoid__mult(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X4),X3,X4) = X3 ),
    file('<stdin>',cls_mult__1__left_0) ).

fof(c_0_780_781,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X4),X3,X4) = X3 ),
    file('<stdin>',cls_mult__1_0) ).

fof(c_0_781_782,axiom,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X4),X5,X4) = X5 ),
    file('<stdin>',cls_class__semiring_Omul__1_0) ).

fof(c_0_782_783,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Oone__class_Oone(X4),X4) = X3 ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I12_J_0) ).

fof(c_0_783_784,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X4),X3,X4) = X3 ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I11_J_0) ).

fof(c_0_784_785,axiom,
    ! [X2,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_scaleR_Ozero__left_0) ).

fof(c_0_785_786,axiom,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_scaleR__eq__0__iff_1) ).

fof(c_0_786_787,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Omonoid__add(X4)
      | c_HOL_Oplus__class_Oplus(X3,c_HOL_Ozero__class_Ozero(X4),X4) = X3 ),
    file('<stdin>',cls_monoid__add__class_Oadd__0__right_0) ).

fof(c_0_787_788,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Omonoid__add(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),X3,X4) = X3 ),
    file('<stdin>',cls_add__0__left_0) ).

fof(c_0_788_789,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
      | c_HOL_Oplus__class_Oplus(X3,c_HOL_Ozero__class_Ozero(X4),X4) = X3 ),
    file('<stdin>',cls_comm__monoid__add_Omult__1__right_0) ).

fof(c_0_789_790,axiom,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),X5,X4) = X5 ),
    file('<stdin>',cls_class__semiring_Oadd__0_0) ).

fof(c_0_790_791,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),X3,X4) = X3 ),
    file('<stdin>',cls_comm__monoid__add_Omult__1_0) ).

fof(c_0_791_792,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(X3,c_HOL_Ozero__class_Ozero(X4),X4) = X3 ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I6_J_0) ).

fof(c_0_792_793,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),X3,X4) = X3 ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I5_J_0) ).

fof(c_0_793_794,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X4),X3,X4) ),
    file('<stdin>',cls_one__dvd_0) ).

fof(c_0_794_795,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_dvd__0__right_0) ).

fof(c_0_795_796,axiom,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,X4) = X5 ),
    file('<stdin>',cls_real__vector_Oscale__one_0) ).

fof(c_0_796_797,axiom,
    ! [X5,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Ominus__class_Ominus(X5,X5,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_eq__iff__diff__eq__0_0) ).

fof(c_0_797_798,axiom,
    ! [X5,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ominus__class_Ominus(X5,X5,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_right__minus__eq_1) ).

fof(c_0_798_799,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ominus__class_Ominus(X3,X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_diff__self_0) ).

fof(c_0_799_800,axiom,
    ! [X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(X3,X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_mod__self_0) ).

fof(c_0_800_801,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | c_HOL_Oinverse__class_Oinverse(X3,X4) != c_HOL_Oinverse__class_Oinverse(X2,X4)
      | X3 = X2
      | X2 = c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_nonzero__inverse__eq__imp__eq_0) ).

fof(c_0_801_802,axiom,
    ! [X5,X4] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X4)
      | c_HOL_Otimes__class_Otimes(X5,X5,X4) = X5 ),
    file('<stdin>',cls_mult__idem_0) ).

fof(c_0_802_803,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,X3,X4) ),
    file('<stdin>',cls_dvd__refl_0) ).

fof(c_0_803_804,axiom,
    ! [X5,X4] :
      ( ~ class_Orderings_Opreorder(X4)
      | c_lessequals(X5,X5,X4) ),
    file('<stdin>',cls_order__eq__refl_0) ).

fof(c_0_804_805,axiom,
    ! [X5,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | c_lessequals(X5,X5,X4) ),
    file('<stdin>',cls_order__eq__iff_0) ).

fof(c_0_805_806,axiom,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X4),X4),X4) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__sgn_0) ).

fof(c_0_806_807,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X3,X4),X4) = c_HOL_Osgn__class_Osgn(X3,X4) ),
    file('<stdin>',cls_sgn__sgn_0) ).

fof(c_0_807_808,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X3,X4),X4) = c_HOL_Oabs__class_Oabs(X3,X4) ),
    file('<stdin>',cls_abs__idempotent_0) ).

fof(c_0_808_809,axiom,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X5,X4),X4) = c_RealVector_Onorm__class_Onorm(X5,X4) ),
    file('<stdin>',cls_norm__minus__cancel_0) ).

fof(c_0_809_810,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X3,X4),X4) = c_HOL_Oabs__class_Oabs(X3,X4) ),
    file('<stdin>',cls_abs__minus__cancel_0) ).

fof(c_0_810_811,axiom,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Oinverse(X3,X4) != c_HOL_Oinverse__class_Oinverse(X2,X4)
      | X3 = X2 ),
    file('<stdin>',cls_inverse__eq__iff__eq_0) ).

fof(c_0_811_812,axiom,
    ! [X11,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra__1(X4)
      | c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X11,X4),X4) = c_HOL_Oabs__class_Oabs(X11,tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__of__real_0) ).

fof(c_0_812_813,axiom,
    ! [X3,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X3,X4),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X3,X4) ),
    file('<stdin>',cls_abs__norm__cancel_0) ).

fof(c_0_813_814,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X3,X4),X4) = X3 ),
    file('<stdin>',cls_inverse__inverse__eq_0) ).

fof(c_0_814_815,axiom,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X5,X4),X4) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_norm__sgn_1) ).

fof(c_0_815_816,axiom,
    ! [X7,X5,X4] :
      ( ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_Oof__real(X5,X4) != c_RealVector_Oof__real(X7,X4)
      | X5 = X7 ),
    file('<stdin>',cls_of__real__eq__iff_0) ).

fof(c_0_816_817,axiom,
    ! [X7,X5,X4] :
      ( ~ class_Lattices_Oboolean__algebra(X4)
      | c_HOL_Ouminus__class_Ouminus(X5,X4) != c_HOL_Ouminus__class_Ouminus(X7,X4)
      | X5 = X7 ),
    file('<stdin>',cls_compl__eq__compl__iff_0) ).

fof(c_0_817_818,axiom,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ouminus__class_Ouminus(X3,X4) != c_HOL_Ouminus__class_Ouminus(X2,X4)
      | X3 = X2 ),
    file('<stdin>',cls_neg__equal__iff__equal_0) ).

fof(c_0_818_819,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X3,X4),X4) = X3
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_nonzero__inverse__inverse__eq_0) ).

fof(c_0_819_820,axiom,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Oinverse(X5,X4) != c_HOL_Oone__class_Oone(X4)
      | X5 = c_HOL_Oone__class_Oone(X4) ),
    file('<stdin>',cls_inverse__eq__1__iff_0) ).

fof(c_0_820_821,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Oinverse(X3,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_inverse__nonzero__iff__nonzero_0) ).

fof(c_0_821_822,axiom,
    ! [X2,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = X2 ),
    file('<stdin>',cls_minus__equation__iff_1) ).

fof(c_0_822_823,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | X3 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
    file('<stdin>',cls_equation__minus__iff_1) ).

fof(c_0_823_824,axiom,
    ! [X2,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
    file('<stdin>',cls_equation__minus__iff_0) ).

fof(c_0_824_825,axiom,
    ! [X5,X4] :
      ( ~ class_Lattices_Oboolean__algebra(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X5,X4),X4) = X5 ),
    file('<stdin>',cls_double__compl_0) ).

fof(c_0_825_826,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X3,X4),X4) = X3 ),
    file('<stdin>',cls_minus__minus_0) ).

fof(c_0_826_827,axiom,
    ! [X20,X21] :
      ( c_RealDef_Oreal(X20,tc_nat) != c_RealDef_Oreal(X21,tc_nat)
      | X20 = X21 ),
    file('<stdin>',cls_real__of__nat__inject_0) ).

fof(c_0_827_828,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Osgn__class_Osgn(X3,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_sgn__0__0_0) ).

fof(c_0_828_829,axiom,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_HOL_Osgn__class_Osgn(X5,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X5 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_sgn__zero__iff_0) ).

fof(c_0_829_830,axiom,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | c_HOL_Oinverse__class_Oinverse(X3,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_inverse__zero__imp__zero_0) ).

fof(c_0_830_831,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_HOL_Oabs__class_Oabs(X3,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_abs__eq__0_0) ).

fof(c_0_831_832,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ouminus__class_Ouminus(X3,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_neg__equal__0__iff__equal_0) ).

fof(c_0_832_833,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ozero__class_Ozero(X4) != c_HOL_Ouminus__class_Ouminus(X3,X4)
      | c_HOL_Ozero__class_Ozero(X4) = X3 ),
    file('<stdin>',cls_neg__0__equal__iff__equal_0) ).

fof(c_0_833_834,axiom,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_Oof__real(X5,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_of__real__eq__0__iff_0) ).

fof(c_0_834_835,axiom,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_Onorm__class_Onorm(X5,X4) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_norm__eq__zero_0) ).

fof(c_0_835_836,axiom,
    ! [X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_inverse__nonzero__iff__nonzero_1) ).

fof(c_0_836_837,axiom,
    ! [X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X4),X4) = c_HOL_Oone__class_Oone(X4) ),
    file('<stdin>',cls_inverse__eq__1__iff_1) ).

fof(c_0_837_838,axiom,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
      | c_HOL_Ouminus__class_Ouminus(X3,X4) != X3
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_neg__equal__zero_0) ).

fof(c_0_838_839,axiom,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_of__real_Ozero_0) ).

fof(c_0_839_840,axiom,
    ! [X5] :
      ( c_Transcendental_Osin(X5) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X5),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    file('<stdin>',cls_sin__zero__abs__cos__one_0) ).

fof(c_0_840_841,axiom,
    ! [X4] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_inverse__zero_0) ).

fof(c_0_841_842,axiom,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X4),X4) = c_HOL_Oone__class_Oone(X4) ),
    file('<stdin>',cls_abs__one_0) ).

fof(c_0_842_843,axiom,
    ! [X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_abs__eq__0_1) ).

fof(c_0_843_844,axiom,
    ! [X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X4),X4) = c_HOL_Oone__class_Oone(X4) ),
    file('<stdin>',cls_inverse__1_0) ).

fof(c_0_844_845,axiom,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__algebra__1(X4)
      | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X4),X4) = c_HOL_Oone__class_Oone(X4) ),
    file('<stdin>',cls_sgn__one_0) ).

fof(c_0_845_846,axiom,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_sgn__zero_0) ).

fof(c_0_846_847,axiom,
    ! [X4] :
      ( ~ class_Ring__and__Field_Osgn__if(X4)
      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_sgn0_0) ).

fof(c_0_847_848,axiom,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_sgn__0__0_1) ).

fof(c_0_848_849,axiom,
    ! [X4] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_neg__equal__zero_1) ).

fof(c_0_849_850,axiom,
    ! [X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_minus__zero_0) ).

fof(c_0_850_851,axiom,
    ! [X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ozero__class_Ozero(X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X4),X4) ),
    file('<stdin>',cls_neg__0__equal__iff__equal_1) ).

fof(c_0_851_852,axiom,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__algebra__1(X4)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X4),X4) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__one_0) ).

fof(c_0_852_853,axiom,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__zero_0) ).

fof(c_0_853_854,axiom,
    ! [X4] :
      ( ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X4) = c_HOL_Oone__class_Oone(X4) ),
    file('<stdin>',cls_of__real__1_0) ).

fof(c_0_854_855,axiom,
    ! [X4] :
      ( ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_of__real__0_0) ).

fof(c_0_855_856,axiom,
    ! [X4] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X4)
      | c_HOL_Oone__class_Oone(X4) != c_HOL_Ozero__class_Ozero(X4) ),
    file('<stdin>',cls_one__neq__zero_0) ).

fof(c_0_856_857,axiom,
    ! [X4] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X4)
      | c_HOL_Ozero__class_Ozero(X4) != c_HOL_Oone__class_Oone(X4) ),
    file('<stdin>',cls_zero__neq__one_0) ).

fof(c_0_857_858,axiom,
    ! [X1] :
      ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X1))
      | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__comm__monoid__add) ).

fof(c_0_858_859,axiom,
    ! [X1] :
      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Opordered__cancel__ab__semigroup__add) ).

fof(c_0_859_860,axiom,
    ! [X1] :
      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).

fof(c_0_860_861,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__comm__semiring__strict) ).

fof(c_0_861_862,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__cancel__semiring) ).

fof(c_0_862_863,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring__strict) ).

fof(c_0_863_864,axiom,
    ! [X1] :
      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add) ).

fof(c_0_864_865,axiom,
    ! [X1] :
      ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add__abs) ).

fof(c_0_865_866,axiom,
    ! [X1] :
      ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Opordered__comm__monoid__add) ).

fof(c_0_866_867,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oidom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Oring__no__zero__divisors) ).

fof(c_0_867_868,axiom,
    ! [X1] :
      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))
      | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__ab__semigroup__add) ).

fof(c_0_868_869,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__ring__strict) ).

fof(c_0_869_870,axiom,
    ! [X1] :
      ( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add) ).

fof(c_0_870_871,axiom,
    ! [X1] :
      ( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Oordered__ab__group__add) ).

fof(c_0_871_872,axiom,
    ! [X1] :
      ( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X1))
      | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__semigroup__add) ).

fof(c_0_872_873,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__semiring) ).

fof(c_0_873_874,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring__abs) ).

fof(c_0_874_875,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring) ).

fof(c_0_875_876,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oidom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Ono__zero__divisors) ).

fof(c_0_876_877,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semidom) ).

fof(c_0_877_878,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1) ).

fof(c_0_878_879,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__0) ).

fof(c_0_879_880,axiom,
    ! [X1] :
      ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__mult) ).

fof(c_0_880_881,axiom,
    ! [X1] :
      ( class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__mult) ).

fof(c_0_881_882,axiom,
    ! [X1] :
      ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X1))
      | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__add) ).

fof(c_0_882_883,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring) ).

fof(c_0_883_884,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring) ).

fof(c_0_884_885,axiom,
    ! [X1] :
      ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X1))
      | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__add) ).

fof(c_0_885_886,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Ozero__neq__one) ).

fof(c_0_886_887,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__idom) ).

fof(c_0_887_888,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring__1) ).

fof(c_0_888_889,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono1) ).

fof(c_0_889_890,axiom,
    ! [X1] :
      ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X1))
      | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Oab__group__add) ).

fof(c_0_890_891,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Omult__zero) ).

fof(c_0_891_892,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono) ).

fof(c_0_892_893,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring) ).

fof(c_0_893_894,axiom,
    ! [X1] :
      ( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__mult) ).

fof(c_0_894_895,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring) ).

fof(c_0_895_896,axiom,
    ! [X1] :
      ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X1))
      | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__add) ).

fof(c_0_896_897,axiom,
    ! [X1] :
      ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X1))
      | ~ class_OrderedGroup_Oab__group__add(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Ogroup__add) ).

fof(c_0_897_898,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Osgn__if(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Osgn__if) ).

fof(c_0_898_899,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Oabs__if) ).

fof(c_0_899_900,axiom,
    ! [X1] :
      ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ofield(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Divides_Osemiring__div) ).

fof(c_0_900_901,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Oring) ).

fof(c_0_901_902,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oidom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Oidom) ).

fof(c_0_902_903,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Odvd) ).

fof(c_0_903_904,axiom,
    ! [X1] :
      ( class_Orderings_Opreorder(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Orderings_Opreorder) ).

fof(c_0_904_905,axiom,
    ! [X1] :
      ( class_Orderings_Olinorder(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Orderings_Olinorder) ).

fof(c_0_905,axiom,
    ! [X1] :
      ( class_Divides_Oring__div(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ofield(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Divides_Oring__div) ).

fof(c_0_906,axiom,
    ! [X1] :
      ( class_Orderings_Oorder(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Orderings_Oorder) ).

fof(c_0_907,axiom,
    ! [X1] :
      ( class_Int_Onumber__ring(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Int_Onumber__ring) ).

fof(c_0_908,axiom,
    ! [X5] :
      ( c_Transcendental_Ocos(X5) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | c_Transcendental_Osin(X5) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_cos__one__sin__zero_0) ).

fof(c_0_909,axiom,
    ! [X7,X5] :
      ( c_NthRoot_Osqrt(X5) != c_NthRoot_Osqrt(X7)
      | X5 = X7 ),
    file('<stdin>',cls_real__sqrt__eq__iff_0) ).

fof(c_0_910,axiom,
    ! [X25,X26] :
      ( c_Suc(X26) != c_Suc(X25)
      | X26 = X25 ),
    file('<stdin>',cls_nat_Oinject_0) ).

fof(c_0_911,axiom,
    ! [X7,X5] :
      ( c_Suc(X5) != c_Suc(X7)
      | X5 = X7 ),
    file('<stdin>',cls_Suc__inject_0) ).

fof(c_0_912,axiom,
    ! [X7,X5] :
      ( c_Complex_Ocnj(X5) != c_Complex_Ocnj(X7)
      | X5 = X7 ),
    file('<stdin>',cls_complex__cnj__cancel__iff_0) ).

fof(c_0_913,axiom,
    ! [X5] :
      ( c_NthRoot_Osqrt(X5) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X5 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__eq__1__iff_0) ).

fof(c_0_914,axiom,
    ! [X5] :
      ( c_NthRoot_Osqrt(X5) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__sqrt__eq__0__iff_0) ).

fof(c_0_915,plain,
    ! [X7,X5,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X5,X7,X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X3,X4),c_HOL_Ominus__class_Ominus(X7,X2,X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X3,X4),X2,X4),X4),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ominus__class_Ominus(X7,X2,X4),X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_916,plain,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Oplus__class_Oplus(X16,X17,X4),X4),X4),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X16,X4),X4),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X17,X4),X4),X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_917,plain,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Oplus__class_Oplus(X16,X17,X4),X4),X4),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X3,X16,X4),X4),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X17,X4),X4),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_918,plain,
    ! [X30,X17,X16,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__field(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Otimes__class_Otimes(X16,X17,X4),X4),X30,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X17,X4),X30,X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X3,X16,X4),X30,X4),X17,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_919,plain,
    ! [X30,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__field(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4),X30,X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X3,X2,X4),X30,X4),X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4),X4)
      | X2 = c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_920,plain,
    ! [X24,X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring(X4)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X24,X4),X16,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X24,X4),X17,X4),X4)
      | ~ c_lessequals(X16,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X24,X4),X17,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_921,plain,
    ! [X24,X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring(X4)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X24,X4),X16,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X24,X4),X17,X4),X4)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X4),X24,X4),X16,X4),X17,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_922,plain,
    ! [X24,X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X24,X4),X16,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X24,X4),X17,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X4),X24,X4),X16,X4),X17,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_923,plain,
    ! [X24,X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X24,X4),X16,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X24,X4),X17,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X24,X4),X17,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_924,plain,
    ! [X24,X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring(X4)
      | c_lessequals(X16,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X24,X4),X17,X4),X4)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X24,X4),X16,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X24,X4),X17,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_925,plain,
    ! [X24,X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring(X4)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X4),X24,X4),X16,X4),X17,X4)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X24,X4),X16,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X24,X4),X17,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_926,plain,
    ! [X24,X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X4),X24,X4),X16,X4),X17,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X24,X4),X16,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X24,X4),X17,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_927,plain,
    ! [X24,X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring(X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X24,X4),X17,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X24,X4),X16,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X24,X4),X17,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_928,plain,
    ! [X5,X39,X15,X17,X40,X4] :
      ( ~ class_Ring__and__Field_Odvd(X4)
      | ~ class_Ring__and__Field_Ocomm__ring(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X17,c_HOL_Oplus__class_Oplus(X5,X39,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X17,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X5,c_HOL_Otimes__class_Otimes(X15,X40,X4),X4),X39,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X17,X40,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_929,plain,
    ! [X5,X39,X15,X17,X40,X4] :
      ( ~ class_Ring__and__Field_Odvd(X4)
      | ~ class_Ring__and__Field_Ocomm__ring(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X17,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X5,c_HOL_Otimes__class_Otimes(X15,X40,X4),X4),X39,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X17,c_HOL_Oplus__class_Oplus(X5,X39,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X17,X40,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_930,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_931,plain,
    ! [X24,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oring(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X24,X4),X16,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X24,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X4),X24,X4),X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_932,plain,
    ! [X24,X17,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oring(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X24,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X24,X4),X17,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X24,X4),X17,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_933,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Ominus__class_Ominus(X3,X2,X4),X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4),X4)
      | X2 = c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_934,plain,
    ! [X6,X7,X5,X10,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Oinverse__class_Odivide(X10,X6,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X5,X6,X4),c_HOL_Otimes__class_Otimes(X10,X7,X4),X4),c_HOL_Otimes__class_Otimes(X7,X6,X4),X4)
      | X6 = c_HOL_Ozero__class_Ozero(X4)
      | X7 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_935,plain,
    ! [X6,X7,X5,X10,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Oinverse__class_Odivide(X10,X6,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X6,X4),c_HOL_Otimes__class_Otimes(X10,X7,X4),X4),c_HOL_Otimes__class_Otimes(X7,X6,X4),X4)
      | X6 = c_HOL_Ozero__class_Ozero(X4)
      | X7 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_936,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | X7 = c_HOL_Ozero__class_Ozero(X4)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_937,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | X5 = c_HOL_Ozero__class_Ozero(X4)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_938,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_939,plain,
    ! [X24,X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oring(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X24,X4),X16,X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X24,X4),X17,X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X4),X24,X4),X16,X4) = X17 ),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_940,plain,
    ! [X24,X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oring(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X24,X4),X16,X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X24,X4),X17,X4)
      | X16 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X24,X4),X17,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_941,plain,
    ! [X24,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Osemiring(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X24,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X24,X4),X16,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X2,X4),X24,X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_942,plain,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | ~ class_Int_Onumber__ring(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X17,X4),X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X17,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
      | X16 = X17
      | X3 = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_943,plain,
    ! [X6,X7,X5,X10,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | ~ class_Int_Onumber__ring(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X7,X4),c_HOL_Otimes__class_Otimes(X5,X6,X4),X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X6,X4),c_HOL_Otimes__class_Otimes(X5,X7,X4),X4)
      | X7 = X6
      | X10 = X5 ),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_944,plain,
    ! [X5,X11,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X3,X4),X4),X11,X4)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oplus__class_Oplus(X3,X11,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X3,X11,X4),X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_945,plain,
    ! [X7] :
      ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xs1__1(v_p,v_r,X7),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X7,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_946,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_947,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_948,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_949,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_950,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_951,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4)
      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_952,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_953,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4)
      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_954,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Oring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X3,X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X3,X16,X4),c_Divides_Odiv__class_Omod(X2,X16,X4),X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_955,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X3,X16,X4),c_Divides_Odiv__class_Omod(X2,X16,X4),X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_956,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X3,X16,X4),c_Divides_Odiv__class_Omod(X2,X16,X4),X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_957,plain,
    ! [X10] :
      ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__unknown__thm__rcM__1(v_p,v_r),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X10,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X10,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_958,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),X4),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_959,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X4),c_HOL_Oone__class_Oone(X4),X4),X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_960,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X4),c_HOL_Oone__class_Oone(X4),X4),X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_961,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X16,X3,X4),c_HOL_Oinverse__class_Odivide(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
      | ~ c_lessequals(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_962,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X16,X3,X4),c_HOL_Oinverse__class_Odivide(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(X2,X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_963,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X16,X3,X4),c_HOL_Oinverse__class_Odivide(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(X2,X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_964,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X16,X3,X4),c_HOL_Oinverse__class_Odivide(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_965,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_966,plain,
    ! [X16,X23,X2,X13,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(X2,X16,X4) != c_Divides_Odiv__class_Omod(X23,X16,X4)
      | c_Divides_Odiv__class_Omod(X3,X16,X4) != c_Divides_Odiv__class_Omod(X13,X16,X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X13,X23,X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_967,plain,
    ! [X16,X23,X2,X13,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(X2,X16,X4) != c_Divides_Odiv__class_Omod(X23,X16,X4)
      | c_Divides_Odiv__class_Omod(X3,X16,X4) != c_Divides_Odiv__class_Omod(X13,X16,X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X13,X23,X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_968,plain,
    ! [X16,X23,X2,X13,X3,X4] :
      ( ~ class_Divides_Oring__div(X4)
      | c_Divides_Odiv__class_Omod(X2,X16,X4) != c_Divides_Odiv__class_Omod(X23,X16,X4)
      | c_Divides_Odiv__class_Omod(X3,X16,X4) != c_Divides_Odiv__class_Omod(X13,X16,X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X3,X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X13,X23,X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_969,plain,
    ! [X7,X5,X36,X11,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X5,X7,X4),X4),c_HOL_Oplus__class_Oplus(X11,X36,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X7,X4),X36,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X5,X4),X11,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_970,plain,
    ! [X32,X33,X34,X35,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X35,X34,X4),c_HOL_Otimes__class_Otimes(X33,X32,X4),X4) = c_HOL_Otimes__class_Otimes(X33,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X35,X34,X4),X32,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_971,plain,
    ! [X32,X33,X34,X35,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X35,X34,X4),c_HOL_Otimes__class_Otimes(X33,X32,X4),X4) = c_HOL_Otimes__class_Otimes(X35,c_HOL_Otimes__class_Otimes(X34,c_HOL_Otimes__class_Otimes(X33,X32,X4),X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_972,plain,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X17,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(X16,X17,X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_973,plain,
    ! [X6,X7,X5,X10,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X6,X4),c_HOL_Oinverse__class_Odivide(X7,X10,X4),X4)
      | ~ c_lessequals(X10,X6,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X10,X4)
      | ~ c_HOL_Oord__class_Oless(X5,X7,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_974,plain,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X17,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(X16,X17,X4)
      | ~ c_lessequals(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_975,plain,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X17,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(X16,X17,X4)
      | ~ c_lessequals(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_976,plain,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X17,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(X16,X17,X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_977,plain,
    ! [X6,X7,X5,X10,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X6,X4),c_HOL_Oinverse__class_Odivide(X7,X10,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X10,X6,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X10,X4)
      | ~ c_lessequals(X5,X7,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_978,plain,
    ! [X6,X7,X5,X10,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X6,X4),c_HOL_Oinverse__class_Odivide(X7,X10,X4),X4)
      | ~ c_lessequals(X10,X6,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X10,X4)
      | ~ c_lessequals(X5,X7,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_979,plain,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X17,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(X16,X17,X4)
      | ~ c_lessequals(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_980,plain,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X17,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(X16,X17,X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_981,plain,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),c_HOL_Otimes__class_Otimes(X16,X17,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X4),X17,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_982,plain,
    ! [X5,X11,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X3,X11,X4),X5,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X3,X4),X4),X11,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_983,plain,
    ! [X5,X11,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Oplus__class_Oplus(X3,X11,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X3,X4),X4),X11,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_984,plain,
    ! [X7,X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X7,tc_RealDef_Oreal)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X5,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_985,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4),X4)
      | X7 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_986,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4),X4)
      | X5 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_987,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_988,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_989,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_990,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_991,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_992,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_993,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_994,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_995,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_996,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_997,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_998,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_999,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_1000,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_1001,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_1002,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_1003,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_1004,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_1005,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_1006,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring(X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_1007,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring(X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_1008,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_lessequals(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_1009,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_lessequals(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_1010,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(X3,X2,X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_1011,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(X2,X3,X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_1012,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_1013,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(X2,X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_1014,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Oinverse__class_Oinverse(X3,X4),X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4)
      | X2 = c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_1015,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Oplus__class_Oplus(X3,X2,X4),X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4)
      | X2 = c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_1016,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Ominus__class_Ominus(X2,X3,X4),X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4)
      | X2 = c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_1017,plain,
    ! [X6,X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,X7,X4),X6,X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X6,X7,X4),X4),X7,X4)
      | X7 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_1018,plain,
    ! [X6,X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oplus__class_Oplus(X6,c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X6,X7,X4),X4),X7,X4)
      | X7 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_1019,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_1020,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_1021,plain,
    ! [X6,X7,X5,X10,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Oinverse__class_Odivide(X6,X10,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X5,X6,X4),c_HOL_Otimes__class_Otimes(X7,X10,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_1022,plain,
    ! [X6,X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | ~ class_Int_Onumber__ring(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X7,X4),c_HOL_Otimes__class_Otimes(X5,X6,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X6,X4),c_HOL_Otimes__class_Otimes(X5,X7,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_1023,plain,
    ! [X5,X17,X16,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | ~ class_Int_Onumber__ring(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X16,X4),c_HOL_Otimes__class_Otimes(X5,X17,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X17,X4),c_HOL_Otimes__class_Otimes(X5,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_1024,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(X2,X3,X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_1025,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_1026,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(X2,X3,X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_1027,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_1028,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X3,X16,X4),X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_1029,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Omod(X2,X16,X4),X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_1030,plain,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Oplus__class_Oplus(X16,X17,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X16,X4),c_HOL_Oplus__class_Oplus(X2,X17,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_1031,plain,
    ! [X32,X33,X34,X35,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X35,X34,X4),c_HOL_Otimes__class_Otimes(X33,X32,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X35,X33,X4),c_HOL_Otimes__class_Otimes(X34,X32,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_1032,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Oring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X3,X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X3,X16,X4),X2,X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_1033,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Oring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X3,X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X3,c_Divides_Odiv__class_Omod(X2,X16,X4),X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_1034,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X3,X16,X4),X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,X2,X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_1035,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,c_Divides_Odiv__class_Omod(X2,X16,X4),X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_1036,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X3,X16,X4),X2,X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_1037,plain,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X16,X4),c_HOL_Oplus__class_Oplus(X2,X17,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X3,X2,X4),c_HOL_Ominus__class_Ominus(X16,X17,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_1038,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,c_Divides_Odiv__class_Omod(X2,X16,X4),X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_1039,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X3,X16,X4),X2,X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_1040,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(X2,X3,X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_125]) ).

fof(c_0_1041,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(X2,X3,X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_126]) ).

fof(c_0_1042,plain,
    ! [X5,X11,X17,X16,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | ~ class_Int_Onumber__ring(X4)
      | c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X11,X16,X4),X4) != c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X11,X17,X4),X4)
      | X16 = X17
      | X11 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_127]) ).

fof(c_0_1043,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_1044,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_129]) ).

fof(c_0_1045,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_130]) ).

fof(c_0_1046,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_1047,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_132]) ).

fof(c_0_1048,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_1049,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_134]) ).

fof(c_0_1050,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_1051,plain,
    ! [X6,X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(X6,c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X6,X7,X4),X5,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_136]) ).

fof(c_0_1052,plain,
    ! [X6,X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X7,X4),X6,X4)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Otimes__class_Otimes(X6,X7,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_137]) ).

fof(c_0_1053,plain,
    ! [X6,X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_lessequals(X6,c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X6,X7,X4),X5,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_1054,plain,
    ! [X6,X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X7,X4),X6,X4)
      | ~ c_lessequals(X5,c_HOL_Otimes__class_Otimes(X6,X7,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_139]) ).

fof(c_0_1055,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_140]) ).

fof(c_0_1056,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Olordered__ring(X4)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_141]) ).

fof(c_0_1057,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X3,X2,X4),X4),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_142]) ).

fof(c_0_1058,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_143]) ).

fof(c_0_1059,plain,
    ! [X7] :
      ( c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xs__2(v_p,v_r,X7),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(v_sko__local__Xs__1(v_p,v_r,X7),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X7,v_s____,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_144]) ).

fof(c_0_1060,plain,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X17,X4),X4)
      | ~ c_lessequals(X16,X17,X4)
      | ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_145]) ).

fof(c_0_1061,plain,
    ! [X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X3,X4),c_RealVector_Onorm__class_Onorm(X2,X4),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_146]) ).

fof(c_0_1062,plain,
    ! [X7,X5,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X5,X7,X4),X4),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X5,X4),c_RealVector_Onorm__class_Onorm(X7,X4),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_147]) ).

fof(c_0_1063,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X4)
      | X16 = c_HOL_Ozero__class_Ozero(X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_148]) ).

fof(c_0_1064,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X4)
      | X16 = c_HOL_Ozero__class_Ozero(X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_149]) ).

fof(c_0_1065,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
      | c_lessequals(X3,X2,X4)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X16,X4),c_HOL_Oplus__class_Oplus(X2,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_150]) ).

fof(c_0_1066,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
      | c_lessequals(X3,X2,X4)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X16,X3,X4),c_HOL_Oplus__class_Oplus(X16,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_151]) ).

fof(c_0_1067,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X16,X3,X4),c_HOL_Oplus__class_Oplus(X16,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_152]) ).

fof(c_0_1068,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X16,X4),c_HOL_Oplus__class_Oplus(X2,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_153]) ).

fof(c_0_1069,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X4)
      | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X16,c_HOL_Oabs__class_Oabs(X2,X4),X4),X4)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_154]) ).

fof(c_0_1070,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X16,X4),c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_155]) ).

fof(c_0_1071,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X16,X4),c_HOL_Oinverse__class_Odivide(X3,X16,X4),X4)
      | ~ c_lessequals(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_156]) ).

fof(c_0_1072,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
      | ~ c_lessequals(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_157]) ).

fof(c_0_1073,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_lessequals(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_158]) ).

fof(c_0_1074,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Omult__mono(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_159]) ).

fof(c_0_1075,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Omult__mono(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_160]) ).

fof(c_0_1076,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Omult__mono1(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_161]) ).

fof(c_0_1077,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X16,X4),c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_162]) ).

fof(c_0_1078,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X16,X4),c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_163]) ).

fof(c_0_1079,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_lessequals(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_164]) ).

fof(c_0_1080,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_lessequals(X2,X3,X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_165]) ).

fof(c_0_1081,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_166]) ).

fof(c_0_1082,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,X3,X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_167]) ).

fof(c_0_1083,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_168]) ).

fof(c_0_1084,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_169]) ).

fof(c_0_1085,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_170]) ).

fof(c_0_1086,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,X3,X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_171]) ).

fof(c_0_1087,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_172]) ).

fof(c_0_1088,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_173]) ).

fof(c_0_1089,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_174]) ).

fof(c_0_1090,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_175]) ).

fof(c_0_1091,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,X3,X4)
      | ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_176]) ).

fof(c_0_1092,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X7,X5,X4),X5,X4)
      | ~ c_lessequals(X7,c_HOL_Oone__class_Oone(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X7,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_177]) ).

fof(c_0_1093,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X5,X7,X4),X5,X4)
      | ~ c_lessequals(X7,c_HOL_Oone__class_Oone(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X7,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_178]) ).

fof(c_0_1094,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_179]) ).

fof(c_0_1095,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_180]) ).

fof(c_0_1096,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_181]) ).

fof(c_0_1097,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_182]) ).

fof(c_0_1098,plain,
    ! [X7,X9,X5] :
      ( c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X9,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X9,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
      | c_HOL_Oord__class_Oless(X7,v_s____,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X7,X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_183]) ).

fof(c_0_1099,plain,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X4)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X16,X4),c_HOL_Oplus__class_Oplus(X2,X17,X4),X4)
      | ~ c_lessequals(X16,X17,X4)
      | ~ c_lessequals(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_184]) ).

fof(c_0_1100,plain,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X16,X4),c_HOL_Oplus__class_Oplus(X2,X17,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,X17,X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_185]) ).

fof(c_0_1101,plain,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X16,X4),c_HOL_Oplus__class_Oplus(X2,X17,X4),X4)
      | ~ c_lessequals(X16,X17,X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_186]) ).

fof(c_0_1102,plain,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X16,X4),c_HOL_Oplus__class_Oplus(X2,X17,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X16,X17,X4)
      | ~ c_lessequals(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_187]) ).

fof(c_0_1103,plain,
    ! [X17,X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X17,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X16,X17,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_188]) ).

fof(c_0_1104,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4) != c_HOL_Ozero__class_Ozero(X4)
      | X7 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_189]) ).

fof(c_0_1105,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4) != c_HOL_Ozero__class_Ozero(X4)
      | X5 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_190]) ).

fof(c_0_1106,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_191]) ).

fof(c_0_1107,plain,
    ! [X7,X9,X5,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(X9,c_HOL_Oplus__class_Oplus(X5,X7,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X5,X4),c_HOL_Otimes__class_Otimes(X9,X7,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_192]) ).

fof(c_0_1108,plain,
    ! [X23,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(X2,X23,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Otimes__class_Otimes(X3,X23,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_193]) ).

fof(c_0_1109,plain,
    ! [X22,X7,X5,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X5,X7,X4),X22,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X22,X4),c_HOL_Otimes__class_Otimes(X7,X22,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_194]) ).

fof(c_0_1110,plain,
    ! [X2,X13,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X13,X4),X2,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Otimes__class_Otimes(X13,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_195]) ).

fof(c_0_1111,plain,
    ! [X6,X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(X5,c_HOL_Oplus__class_Oplus(X7,X6,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X7,X4),c_HOL_Otimes__class_Otimes(X5,X6,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_196]) ).

fof(c_0_1112,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_197]) ).

fof(c_0_1113,plain,
    ! [X21,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X21,X4),c_HOL_Otimes__class_Otimes(X2,X21,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X2,X4),X21,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_198]) ).

fof(c_0_1114,plain,
    ! [X7,X5,X3,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Ominus__class_Ominus(X5,X7,X4),X4) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X3,X5,X4),c_RealVector_OscaleR__class_OscaleR(X3,X7,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_199]) ).

fof(c_0_1115,plain,
    ! [X23,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Ominus__class_Ominus(X2,X23,X4),X4) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X3,X2,X4),c_RealVector_OscaleR__class_OscaleR(X3,X23,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_200]) ).

fof(c_0_1116,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X3,X2,X4),X16,X4) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,X16,X4),c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_201]) ).

fof(c_0_1117,plain,
    ! [X22,X7,X5,X4] :
      ( ~ class_RealVector_Oreal__normed__field(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X5,X7,X4),X22,X4) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X5,X22,X4),c_HOL_Oinverse__class_Odivide(X7,X22,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_202]) ).

fof(c_0_1118,plain,
    ! [X7,X9,X5,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(X9,c_HOL_Ominus__class_Ominus(X5,X7,X4),X4) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X9,X5,X4),c_HOL_Otimes__class_Otimes(X9,X7,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_203]) ).

fof(c_0_1119,plain,
    ! [X23,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Ominus__class_Ominus(X2,X23,X4),X4) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Otimes__class_Otimes(X3,X23,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_204]) ).

fof(c_0_1120,plain,
    ! [X2,X13,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X13,X4),X2,X4) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Otimes__class_Otimes(X13,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_205]) ).

fof(c_0_1121,plain,
    ! [X22,X7,X5,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X7,X4),X22,X4) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X5,X22,X4),c_HOL_Otimes__class_Otimes(X7,X22,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_206]) ).

fof(c_0_1122,plain,
    ! [X7,X5,X3,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Oplus__class_Oplus(X5,X7,X4),X4) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X3,X5,X4),c_RealVector_OscaleR__class_OscaleR(X3,X7,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_207]) ).

fof(c_0_1123,plain,
    ! [X23,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Oplus__class_Oplus(X2,X23,X4),X4) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X3,X2,X4),c_RealVector_OscaleR__class_OscaleR(X3,X23,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_208]) ).

fof(c_0_1124,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X2,X16,X4),X4),X2,X4) = c_Divides_Odiv__class_Omod(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_209]) ).

fof(c_0_1125,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X16,X2,X4),X4),X2,X4) = c_Divides_Odiv__class_Omod(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_210]) ).

fof(c_0_1126,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X16,X4),c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_211]) ).

fof(c_0_1127,plain,
    ! [X22,X7,X5,X4] :
      ( ~ class_RealVector_Oreal__normed__field(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,X7,X4),X22,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,X22,X4),c_HOL_Oinverse__class_Odivide(X7,X22,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_212]) ).

fof(c_0_1128,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4) = c_HOL_Otimes__class_Otimes(X16,c_Divides_Odiv__class_Omod(X3,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_213]) ).

fof(c_0_1129,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X3,X2,X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_214]) ).

fof(c_0_1130,plain,
    ! [X5,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X3,X2,tc_RealDef_Oreal),X5,X4) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X3,X5,X4),c_RealVector_OscaleR__class_OscaleR(X2,X5,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_215]) ).

fof(c_0_1131,plain,
    ! [X7,X9,X5,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),X9,X4) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X5,X9,X4),c_RealVector_OscaleR__class_OscaleR(X7,X9,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_216]) ).

fof(c_0_1132,plain,
    ! [X2,X13,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X3,X13,tc_RealDef_Oreal),X2,X4) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X3,X2,X4),c_RealVector_OscaleR__class_OscaleR(X13,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_217]) ).

fof(c_0_1133,plain,
    ! [X6,X11,X8] :
      ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X8,X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X8,X11),tc_RealDef_Oreal)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X6,tc_Complex_Ocomplex),X11,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_218]) ).

fof(c_0_1134,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X2,X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_219]) ).

fof(c_0_1135,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_220]) ).

fof(c_0_1136,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_221]) ).

fof(c_0_1137,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_222]) ).

fof(c_0_1138,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_223]) ).

fof(c_0_1139,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_224]) ).

fof(c_0_1140,plain,
    ! [X6] :
      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X6,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X6,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_225]) ).

fof(c_0_1141,plain,
    ! [X20,X21,X15,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X15,X21,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X15,X20,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X15,c_Divides_Odiv__class_Omod(X21,X20,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_226]) ).

fof(c_0_1142,plain,
    ! [X20,X21,X15,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X15,X21,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X15,c_Divides_Odiv__class_Omod(X21,X20,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X15,X20,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_227]) ).

fof(c_0_1143,plain,
    ! [X6,X7,X5,X31,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X7,X6,X4),X4) != c_HOL_Oplus__class_Oplus(X7,X31,X4)
      | c_HOL_Oplus__class_Oplus(X5,X6,X4) = X31 ),
    inference(fof_simplification,[status(thm)],[c_0_228]) ).

fof(c_0_1144,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_229]) ).

fof(c_0_1145,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_230]) ).

fof(c_0_1146,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_231]) ).

fof(c_0_1147,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_232]) ).

fof(c_0_1148,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_233]) ).

fof(c_0_1149,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_234]) ).

fof(c_0_1150,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_235]) ).

fof(c_0_1151,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_236]) ).

fof(c_0_1152,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_237]) ).

fof(c_0_1153,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_238]) ).

fof(c_0_1154,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_239]) ).

fof(c_0_1155,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_240]) ).

fof(c_0_1156,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_241]) ).

fof(c_0_1157,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_242]) ).

fof(c_0_1158,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_243]) ).

fof(c_0_1159,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_244]) ).

fof(c_0_1160,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_245]) ).

fof(c_0_1161,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_246]) ).

fof(c_0_1162,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X16,X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_247]) ).

fof(c_0_1163,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_248]) ).

fof(c_0_1164,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_249]) ).

fof(c_0_1165,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_250]) ).

fof(c_0_1166,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_251]) ).

fof(c_0_1167,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_252]) ).

fof(c_0_1168,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_253]) ).

fof(c_0_1169,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_254]) ).

fof(c_0_1170,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_255]) ).

fof(c_0_1171,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_256]) ).

fof(c_0_1172,plain,
    ! [X7] :
      ( c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xs1__1(v_p,v_r,X7),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_257]) ).

fof(c_0_1173,plain,
    ! [X6,X5] :
      ( c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X5,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X6,tc_RealDef_Oreal)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X5,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
      | c_HOL_Oord__class_Oless(X6,v_sko__local__Xmth2__1(v_p,v_r),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_258]) ).

fof(c_0_1174,plain,
    ! [X2,X3,X4] :
      ( ~ class_Divides_Oring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X3,X2,X4),X4),X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_259]) ).

fof(c_0_1175,plain,
    ! [X37,X38] :
      ( c_HOL_Oord__class_Oless(X37,X38,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X38,c_HOL_Ouminus__class_Ouminus(X37,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_260]) ).

fof(c_0_1176,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_261]) ).

fof(c_0_1177,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_262]) ).

fof(c_0_1178,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_263]) ).

fof(c_0_1179,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_264]) ).

fof(c_0_1180,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_265]) ).

fof(c_0_1181,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_266]) ).

fof(c_0_1182,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_267]) ).

fof(c_0_1183,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_268]) ).

fof(c_0_1184,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_269]) ).

fof(c_0_1185,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_270]) ).

fof(c_0_1186,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__ring(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_271]) ).

fof(c_0_1187,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_272]) ).

fof(c_0_1188,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_273]) ).

fof(c_0_1189,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_274]) ).

fof(c_0_1190,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_275]) ).

fof(c_0_1191,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_276]) ).

fof(c_0_1192,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_277]) ).

fof(c_0_1193,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_278]) ).

fof(c_0_1194,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_279]) ).

fof(c_0_1195,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_280]) ).

fof(c_0_1196,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_281]) ).

fof(c_0_1197,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_282]) ).

fof(c_0_1198,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_283]) ).

fof(c_0_1199,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_284]) ).

fof(c_0_1200,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_285]) ).

fof(c_0_1201,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_286]) ).

fof(c_0_1202,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_287]) ).

fof(c_0_1203,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_288]) ).

fof(c_0_1204,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_289]) ).

fof(c_0_1205,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_290]) ).

fof(c_0_1206,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_291]) ).

fof(c_0_1207,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_292]) ).

fof(c_0_1208,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_293]) ).

fof(c_0_1209,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X4)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_294]) ).

fof(c_0_1210,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_295]) ).

fof(c_0_1211,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X2,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_296]) ).

fof(c_0_1212,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X2,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_297]) ).

fof(c_0_1213,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_298]) ).

fof(c_0_1214,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_299]) ).

fof(c_0_1215,plain,
    ! [X20,X21,X4] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),c_HOL_Otimes__class_Otimes(X21,X20,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),X20,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),X21,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_300]) ).

fof(c_0_1216,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_301]) ).

fof(c_0_1217,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_302]) ).

fof(c_0_1218,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_303]) ).

fof(c_0_1219,plain,
    ! [X7,X5] :
      ( c_lessequals(X7,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_304]) ).

fof(c_0_1220,plain,
    ! [X7,X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_305]) ).

fof(c_0_1221,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X16,X4),c_HOL_Oplus__class_Oplus(X2,X16,X4),X4)
      | ~ c_lessequals(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_306]) ).

fof(c_0_1222,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X16,X3,X4),c_HOL_Oplus__class_Oplus(X16,X2,X4),X4)
      | ~ c_lessequals(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_307]) ).

fof(c_0_1223,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X4)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X16,X4),c_HOL_Oplus__class_Oplus(X2,X16,X4),X4)
      | ~ c_lessequals(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_308]) ).

fof(c_0_1224,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X4)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X16,X3,X4),c_HOL_Oplus__class_Oplus(X16,X2,X4),X4)
      | ~ c_lessequals(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_309]) ).

fof(c_0_1225,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_310]) ).

fof(c_0_1226,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_311]) ).

fof(c_0_1227,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X16,X3,X4),c_HOL_Oplus__class_Oplus(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_312]) ).

fof(c_0_1228,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X16,X3,X4),c_HOL_Oplus__class_Oplus(X16,X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_313]) ).

fof(c_0_1229,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X16,X4),c_HOL_Oplus__class_Oplus(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_314]) ).

fof(c_0_1230,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X16,X4),c_HOL_Oplus__class_Oplus(X2,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_315]) ).

fof(c_0_1231,plain,
    ! [X2,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_316]) ).

fof(c_0_1232,plain,
    ! [X2,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_317]) ).

fof(c_0_1233,plain,
    ! [X2,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_318]) ).

fof(c_0_1234,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
      | ~ class_OrderedGroup_Ocomm__monoid__add(X4)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X16,X4),X4)
      | ~ c_lessequals(X2,X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_319]) ).

fof(c_0_1235,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
      | ~ class_OrderedGroup_Ocomm__monoid__add(X4)
      | c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X16,X4),X4)
      | ~ c_lessequals(X2,X3,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_320]) ).

fof(c_0_1236,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
      | ~ class_OrderedGroup_Ocomm__monoid__add(X4)
      | c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X16,X4),X4)
      | ~ c_lessequals(X2,X16,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_321]) ).

fof(c_0_1237,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
      | ~ class_OrderedGroup_Ocomm__monoid__add(X4)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,X16,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_322]) ).

fof(c_0_1238,plain,
    ! [X2,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_323]) ).

fof(c_0_1239,plain,
    ! [X7] :
      ( c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xs__2(v_p,v_r,X7),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X7,v_s____,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_324]) ).

fof(c_0_1240,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_325]) ).

fof(c_0_1241,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X4)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X16,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,X16,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_326]) ).

fof(c_0_1242,plain,
    ! [X6,X7,X5] :
      ( c_lessequals(c_HOL_Oplus__class_Oplus(X6,X5,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X6,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X7,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_327]) ).

fof(c_0_1243,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) = c_HOL_Oinverse__class_Odivide(X3,X2,X4)
      | X16 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_328]) ).

fof(c_0_1244,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X16,X3,X4),c_HOL_Otimes__class_Otimes(X16,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(X3,X2,X4)
      | X16 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_329]) ).

fof(c_0_1245,plain,
    ! [X21,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X21,X4),X21,X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(X4),X4),X21,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_330]) ).

fof(c_0_1246,plain,
    ! [X21,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(X21,c_HOL_Otimes__class_Otimes(X3,X21,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(X4),X4),X21,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_331]) ).

fof(c_0_1247,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Oplus__class_Oplus(X2,X16,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X16,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_332]) ).

fof(c_0_1248,plain,
    ! [X6,X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X5,c_HOL_Ominus__class_Ominus(X7,X6,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X5,X6,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X5,X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_333]) ).

fof(c_0_1249,plain,
    ! [X20,X21,X15,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X15,c_Divides_Odiv__class_Omod(X21,X20,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X15,X21,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X15,X20,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_334]) ).

fof(c_0_1250,plain,
    ! [X20,X21,X15,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X15,c_Divides_Odiv__class_Omod(X21,X20,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X15,X20,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X15,X21,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_335]) ).

fof(c_0_1251,plain,
    ! [X2,X13,X3,X4] :
      ( ~ class_Divides_Oring__div(X4)
      | c_Divides_Odiv__class_Omod(X3,X2,X4) != c_Divides_Odiv__class_Omod(X13,X2,X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X13,X4),X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_336]) ).

fof(c_0_1252,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_337]) ).

fof(c_0_1253,plain,
    ! [X7,X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_338]) ).

fof(c_0_1254,plain,
    ! [X7,X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X7,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_339]) ).

fof(c_0_1255,plain,
    ! [X7,X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_340]) ).

fof(c_0_1256,plain,
    ! [X7,X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X7,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_341]) ).

fof(c_0_1257,plain,
    ! [X6,X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X5,X7,X4),X6,X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X5,X6,X4),X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_342]) ).

fof(c_0_1258,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_343]) ).

fof(c_0_1259,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_344]) ).

fof(c_0_1260,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_345]) ).

fof(c_0_1261,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_346]) ).

fof(c_0_1262,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_347]) ).

fof(c_0_1263,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Oab__semigroup__mult(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X3,X2,X4),X16,X4) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_348]) ).

fof(c_0_1264,plain,
    ! [X33,X34,X35,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X35,X34,X4),X33,X4) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X35,X33,X4),X34,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_349]) ).

fof(c_0_1265,plain,
    ! [X33,X34,X35,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X35,X34,X4),X33,X4) = c_HOL_Otimes__class_Otimes(X35,c_HOL_Otimes__class_Otimes(X34,X33,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_350]) ).

fof(c_0_1266,plain,
    ! [X32,X33,X35,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(X35,c_HOL_Otimes__class_Otimes(X33,X32,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X35,X33,X4),X32,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_351]) ).

fof(c_0_1267,plain,
    ! [X32,X33,X35,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(X35,c_HOL_Otimes__class_Otimes(X33,X32,X4),X4) = c_HOL_Otimes__class_Otimes(X33,c_HOL_Otimes__class_Otimes(X35,X32,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_352]) ).

fof(c_0_1268,plain,
    ! [X6,X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(X5,c_HOL_Otimes__class_Otimes(X7,X6,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X5,X7,X4),X6,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_353]) ).

fof(c_0_1269,plain,
    ! [X11,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X11,X3,X4),X2,X4) = c_RealVector_OscaleR__class_OscaleR(X11,c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_354]) ).

fof(c_0_1270,plain,
    ! [X7,X5,X11,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X11,X5,X4),X7,X4) = c_RealVector_OscaleR__class_OscaleR(X11,c_HOL_Otimes__class_Otimes(X5,X7,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_355]) ).

fof(c_0_1271,plain,
    ! [X11,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(X3,c_RealVector_OscaleR__class_OscaleR(X11,X2,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X11,c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_356]) ).

fof(c_0_1272,plain,
    ! [X9,X5,X11,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(X9,c_RealVector_OscaleR__class_OscaleR(X11,X5,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X11,c_HOL_Otimes__class_Otimes(X9,X5,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_357]) ).

fof(c_0_1273,plain,
    ! [X7,X5,X3,X4] :
      ( ~ class_RealVector_Oreal__algebra(X4)
      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X3,X5,X4),X7,X4) = c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Otimes__class_Otimes(X5,X7,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_358]) ).

fof(c_0_1274,plain,
    ! [X7,X5,X3,X4] :
      ( ~ class_RealVector_Oreal__algebra(X4)
      | c_HOL_Otimes__class_Otimes(X5,c_RealVector_OscaleR__class_OscaleR(X3,X7,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Otimes__class_Otimes(X5,X7,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_359]) ).

fof(c_0_1275,plain,
    ! [X7,X5,X11,X4] :
      ( ~ class_RealVector_Oreal__normed__field(X4)
      | c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X11,X5,X4),X7,X4) = c_RealVector_OscaleR__class_OscaleR(X11,c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_360]) ).

fof(c_0_1276,plain,
    ! [X11,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,c_RealVector_OscaleR__class_OscaleR(X11,X2,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X11,c_RealVector_OscaleR__class_OscaleR(X3,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_361]) ).

fof(c_0_1277,plain,
    ! [X5,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,c_RealVector_OscaleR__class_OscaleR(X2,X5,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X3,X5,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_362]) ).

fof(c_0_1278,plain,
    ! [X5,X29,X11,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X29,c_RealVector_OscaleR__class_OscaleR(X11,X5,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X11,c_RealVector_OscaleR__class_OscaleR(X29,X5,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_363]) ).

fof(c_0_1279,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
      | c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X16,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_364]) ).

fof(c_0_1280,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_365]) ).

fof(c_0_1281,plain,
    ! [X6,X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X7,X6,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X5,X7,X4),X6,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_366]) ).

fof(c_0_1282,plain,
    ! [X6,X7,X5,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X7,X6,X4),X4) = c_HOL_Oplus__class_Oplus(X7,c_HOL_Oplus__class_Oplus(X5,X6,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_367]) ).

fof(c_0_1283,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_368]) ).

fof(c_0_1284,plain,
    ! [X17,X16,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X16,X17,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X16,X4),X17,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_369]) ).

fof(c_0_1285,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X16,X4),X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_370]) ).

fof(c_0_1286,plain,
    ! [X17,X16,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X16,X17,X4),X4) = c_HOL_Oplus__class_Oplus(X16,c_HOL_Oplus__class_Oplus(X3,X17,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_371]) ).

fof(c_0_1287,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X16,X4) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X16,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_372]) ).

fof(c_0_1288,plain,
    ! [X5,X12,X8,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X4)
      | c_Polynomial_Opoly(c_Polynomial_Opcompose(X8,X12,X4),X5,X4) = c_Polynomial_Opoly(X8,c_Polynomial_Opoly(X12,X5,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_373]) ).

fof(c_0_1289,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_374]) ).

fof(c_0_1290,plain,
    ! [X7,X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_375]) ).

fof(c_0_1291,plain,
    ! [X7,X5] :
      ( c_lessequals(X7,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_376]) ).

fof(c_0_1292,plain,
    ! [X7,X5] :
      ( c_HOL_Oord__class_Oless(X7,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_377]) ).

fof(c_0_1293,plain,
    ! [X7,X5] :
      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_378]) ).

fof(c_0_1294,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(X2,X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_379]) ).

fof(c_0_1295,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(X2,X3,X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_380]) ).

fof(c_0_1296,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_lessequals(X2,X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_381]) ).

fof(c_0_1297,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_lessequals(X2,X3,X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_382]) ).

fof(c_0_1298,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_lessequals(X3,X2,X4)
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_383]) ).

fof(c_0_1299,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_384]) ).

fof(c_0_1300,plain,
    ! [X27,X7,X28,X5,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Ominus__class_Ominus(X5,X7,X4) != c_HOL_Ominus__class_Ominus(X28,X27,X4)
      | c_lessequals(X27,X28,X4)
      | ~ c_lessequals(X7,X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_385]) ).

fof(c_0_1301,plain,
    ! [X27,X7,X28,X5,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Ominus__class_Ominus(X5,X7,X4) != c_HOL_Ominus__class_Ominus(X28,X27,X4)
      | c_lessequals(X7,X5,X4)
      | ~ c_lessequals(X27,X28,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_386]) ).

fof(c_0_1302,plain,
    ! [X27,X7,X28,X5,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Ominus__class_Ominus(X5,X7,X4) != c_HOL_Ominus__class_Ominus(X28,X27,X4)
      | c_HOL_Oord__class_Oless(X28,X27,X4)
      | ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_387]) ).

fof(c_0_1303,plain,
    ! [X27,X7,X28,X5,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Ominus__class_Ominus(X5,X7,X4) != c_HOL_Ominus__class_Ominus(X28,X27,X4)
      | c_HOL_Oord__class_Oless(X5,X7,X4)
      | ~ c_HOL_Oord__class_Oless(X28,X27,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_388]) ).

fof(c_0_1304,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X2,X16,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X2,X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_389]) ).

fof(c_0_1305,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,X16,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X2,X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_390]) ).

fof(c_0_1306,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X5,X4),X7,X4) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_391]) ).

fof(c_0_1307,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,X2,X4),X16,X4) = c_Divides_Odiv__class_Omod(X3,X16,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X16,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_392]) ).

fof(c_0_1308,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X7,X4),X5,X4) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X7,X5,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_393]) ).

fof(c_0_1309,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_394]) ).

fof(c_0_1310,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_395]) ).

fof(c_0_1311,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
      | ~ c_lessequals(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_396]) ).

fof(c_0_1312,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
      | ~ c_lessequals(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_397]) ).

fof(c_0_1313,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X4),X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_398]) ).

fof(c_0_1314,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X3,X4),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_399]) ).

fof(c_0_1315,plain,
    ! [X6,X7,X5,X10,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Oinverse__class_Odivide(X5,X7,X4) != c_HOL_Oinverse__class_Odivide(X10,X6,X4)
      | X6 = c_HOL_Ozero__class_Ozero(X4)
      | X7 = c_HOL_Ozero__class_Ozero(X4)
      | c_HOL_Otimes__class_Otimes(X5,X6,X4) = c_HOL_Otimes__class_Otimes(X10,X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_400]) ).

fof(c_0_1316,plain,
    ! [X6,X7,X5,X10,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Otimes__class_Otimes(X5,X6,X4) != c_HOL_Otimes__class_Otimes(X10,X7,X4)
      | X6 = c_HOL_Ozero__class_Ozero(X4)
      | X7 = c_HOL_Ozero__class_Ozero(X4)
      | c_HOL_Oinverse__class_Odivide(X5,X7,X4) = c_HOL_Oinverse__class_Odivide(X10,X6,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_401]) ).

fof(c_0_1317,plain,
    ! [X7,X5,X4] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
      | c_HOL_Oplus__class_Oplus(X5,X7,X4) != c_HOL_Ozero__class_Ozero(X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X7,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4)
      | X7 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_402]) ).

fof(c_0_1318,plain,
    ! [X7,X5,X4] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
      | c_HOL_Oplus__class_Oplus(X5,X7,X4) != c_HOL_Ozero__class_Ozero(X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X7,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4)
      | X5 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_403]) ).

fof(c_0_1319,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X4),c_HOL_Oinverse__class_Oinverse(X3,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_404]) ).

fof(c_0_1320,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X4),c_HOL_Oinverse__class_Oinverse(X3,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_405]) ).

fof(c_0_1321,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X4),c_HOL_Oinverse__class_Oinverse(X3,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_406]) ).

fof(c_0_1322,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X4),c_HOL_Oinverse__class_Oinverse(X3,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_407]) ).

fof(c_0_1323,plain,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oone__class_Oone(X4),c_HOL_Oinverse__class_Oinverse(X5,X4),X4)
      | ~ c_lessequals(X5,c_HOL_Oone__class_Oone(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_408]) ).

fof(c_0_1324,plain,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),c_HOL_Oinverse__class_Oinverse(X5,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oone__class_Oone(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_409]) ).

fof(c_0_1325,plain,
    ! [X2,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_410]) ).

fof(c_0_1326,plain,
    ! [X2,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_411]) ).

fof(c_0_1327,plain,
    ! [X2,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_412]) ).

fof(c_0_1328,plain,
    ! [X2,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_413]) ).

fof(c_0_1329,plain,
    ! [X37,X38] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X38,c_HOL_Ouminus__class_Ouminus(X37,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X37,X38,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_414]) ).

fof(c_0_1330,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_415]) ).

fof(c_0_1331,plain,
    ! [X7,X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_416]) ).

fof(c_0_1332,plain,
    ! [X7,X5] :
      ( c_lessequals(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X7,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_417]) ).

fof(c_0_1333,plain,
    ! [X5,X11] :
      ( c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),X11,tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X11,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_418]) ).

fof(c_0_1334,plain,
    ! [X7,X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_419]) ).

fof(c_0_1335,plain,
    ! [X7,X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_420]) ).

fof(c_0_1336,plain,
    ! [X6,X7,X5,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X7,X6,X4),X4) != X7
      | X5 = c_HOL_Ouminus__class_Ouminus(X6,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_421]) ).

fof(c_0_1337,plain,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oone__class_Oone(X4),X5,X4)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X5,X4),c_HOL_Oone__class_Oone(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_422]) ).

fof(c_0_1338,plain,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),X5,X4)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X5,X4),c_HOL_Oone__class_Oone(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_423]) ).

fof(c_0_1339,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X3,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_424]) ).

fof(c_0_1340,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_425]) ).

fof(c_0_1341,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_426]) ).

fof(c_0_1342,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_427]) ).

fof(c_0_1343,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X3,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_428]) ).

fof(c_0_1344,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_429]) ).

fof(c_0_1345,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Ominus__class_Ominus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_430]) ).

fof(c_0_1346,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_431]) ).

fof(c_0_1347,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_432]) ).

fof(c_0_1348,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_433]) ).

fof(c_0_1349,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_434]) ).

fof(c_0_1350,plain,
    ! [X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_435]) ).

fof(c_0_1351,plain,
    ! [X21,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(X21,X21,X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X4),c_HOL_Oone__class_Oone(X4),X4),X21,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_436]) ).

fof(c_0_1352,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X4),c_HOL_Oinverse__class_Oinverse(X3,X4),X4)
      | X2 = c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_437]) ).

fof(c_0_1353,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Oinverse__class_Oinverse(X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_438]) ).

fof(c_0_1354,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_439]) ).

fof(c_0_1355,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | ~ class_RealVector_Oreal__normed__field(X4)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X3,X4),c_RealVector_Onorm__class_Onorm(X2,X4),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_440]) ).

fof(c_0_1356,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4)
      | X2 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_441]) ).

fof(c_0_1357,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | ~ class_RealVector_Oreal__field(X4)
      | c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),X4) = c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X5,X4),c_RealVector_Oof__real(X7,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_442]) ).

fof(c_0_1358,plain,
    ! [X7,X5,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),X4) = c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X5,X4),c_RealVector_Oof__real(X7,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_443]) ).

fof(c_0_1359,plain,
    ! [X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__field(X4)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X3,X4),c_RealVector_Onorm__class_Onorm(X2,X4),tc_RealDef_Oreal)
      | X2 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_444]) ).

fof(c_0_1360,plain,
    ! [X7] :
      ( c_HOL_Oord__class_Oless(X7,v_sko__local__Xs__1(v_p,v_r,X7),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X7,v_s____,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_445]) ).

fof(c_0_1361,plain,
    ! [X7,X5,X4] :
      ( ~ class_RealVector_Oreal__field(X4)
      | c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),X4) = c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X5,X4),c_RealVector_Oof__real(X7,X4),X4)
      | X7 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_446]) ).

fof(c_0_1362,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,X16,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X16,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_447]) ).

fof(c_0_1363,plain,
    ! [X6,X7,X5,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | c_HOL_Oord__class_Oless(X6,X5,X4)
      | ~ c_HOL_Oord__class_Oless(X6,X7,X4)
      | ~ c_HOL_Oord__class_Oless(X7,X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_448]) ).

fof(c_0_1364,plain,
    ! [X6,X7,X5,X4] :
      ( ~ class_Orderings_Opreorder(X4)
      | c_HOL_Oord__class_Oless(X5,X6,X4)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X4)
      | ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_449]) ).

fof(c_0_1365,plain,
    ! [X6,X7,X5,X4] :
      ( ~ class_Orderings_Opreorder(X4)
      | c_HOL_Oord__class_Oless(X5,X6,X4)
      | ~ c_HOL_Oord__class_Oless(X7,X6,X4)
      | ~ c_lessequals(X5,X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_450]) ).

fof(c_0_1366,plain,
    ! [X6,X7,X5,X4] :
      ( ~ class_Orderings_Opreorder(X4)
      | c_HOL_Oord__class_Oless(X5,X6,X4)
      | ~ c_lessequals(X7,X6,X4)
      | ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_451]) ).

fof(c_0_1367,plain,
    ! [X6,X7,X5,X4] :
      ( ~ class_Orderings_Opreorder(X4)
      | c_lessequals(X5,X6,X4)
      | ~ c_lessequals(X7,X6,X4)
      | ~ c_lessequals(X5,X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_452]) ).

fof(c_0_1368,plain,
    ! [X6,X7,X5,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | c_HOL_Oord__class_Oless(X6,X5,X4)
      | ~ c_HOL_Oord__class_Oless(X6,X7,X4)
      | ~ c_lessequals(X7,X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_453]) ).

fof(c_0_1369,plain,
    ! [X6,X7,X5,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | c_HOL_Oord__class_Oless(X6,X5,X4)
      | ~ c_lessequals(X6,X7,X4)
      | ~ c_HOL_Oord__class_Oless(X7,X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_454]) ).

fof(c_0_1370,plain,
    ! [X6,X7,X5,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | c_lessequals(X6,X5,X4)
      | ~ c_lessequals(X6,X7,X4)
      | ~ c_lessequals(X7,X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_455]) ).

fof(c_0_1371,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_456]) ).

fof(c_0_1372,plain,
    ! [X7,X5,X4] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X4)
      | c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X5,X7,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X5,X4),c_HOL_Osgn__class_Osgn(X7,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_457]) ).

fof(c_0_1373,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X3,X4),c_HOL_Osgn__class_Osgn(X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_458]) ).

fof(c_0_1374,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_459]) ).

fof(c_0_1375,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_460]) ).

fof(c_0_1376,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_461]) ).

fof(c_0_1377,plain,
    ! [X7,X5,X4] :
      ( ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),X4) = c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X5,X4),c_RealVector_Oof__real(X7,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_462]) ).

fof(c_0_1378,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_463]) ).

fof(c_0_1379,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_lessequals(X3,X2,X4)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_464]) ).

fof(c_0_1380,plain,
    ! [X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X3,X2,X4),X2,X4) = c_Divides_Odiv__class_Omod(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_465]) ).

fof(c_0_1381,plain,
    ! [X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X2,X3,X4),X2,X4) = c_Divides_Odiv__class_Omod(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_466]) ).

fof(c_0_1382,plain,
    ! [X7,X5,X4] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X4)
      | c_HOL_Otimes__class_Otimes(X5,c_HOL_Otimes__class_Otimes(X5,X7,X4),X4) = c_HOL_Otimes__class_Otimes(X5,X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_467]) ).

fof(c_0_1383,plain,
    ! [X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X3,X2,X4),X2,X4) = c_Divides_Odiv__class_Omod(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_468]) ).

fof(c_0_1384,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4),X4) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_469]) ).

fof(c_0_1385,plain,
    ! [X15,X18,X19] :
      ( c_lessequals(X19,X15,tc_RealDef_Oreal)
      | ~ c_lessequals(X18,X15,tc_RealDef_Oreal)
      | ~ c_lessequals(X19,X18,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_470]) ).

fof(c_0_1386,plain,
    ! [X5,X8,X4] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X4)
      | c_Polynomial_Opoly(c_HOL_Ouminus__class_Ouminus(X8,tc_Polynomial_Opoly(X4)),X5,X4) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Opoly(X8,X5,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_471]) ).

fof(c_0_1387,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_472]) ).

fof(c_0_1388,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_473]) ).

fof(c_0_1389,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_474]) ).

fof(c_0_1390,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_475]) ).

fof(c_0_1391,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_476]) ).

fof(c_0_1392,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_477]) ).

fof(c_0_1393,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_478]) ).

fof(c_0_1394,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_479]) ).

fof(c_0_1395,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_480]) ).

fof(c_0_1396,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4)
      | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_481]) ).

fof(c_0_1397,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_482]) ).

fof(c_0_1398,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4)
      | X2 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_483]) ).

fof(c_0_1399,plain,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X5,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),c_HOL_Oinverse__class_Oinverse(X5,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_484]) ).

fof(c_0_1400,plain,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Oone__class_Oone(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),c_HOL_Oinverse__class_Oinverse(X5,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_485]) ).

fof(c_0_1401,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Oinverse(X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_486]) ).

fof(c_0_1402,plain,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X5,X4)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(X4),c_HOL_Oinverse__class_Oinverse(X5,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_487]) ).

fof(c_0_1403,plain,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X5,c_HOL_Oone__class_Oone(X4),X4)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(X4),c_HOL_Oinverse__class_Oinverse(X5,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_488]) ).

fof(c_0_1404,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_489]) ).

fof(c_0_1405,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_490]) ).

fof(c_0_1406,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Oinverse(X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_491]) ).

fof(c_0_1407,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_492]) ).

fof(c_0_1408,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Oinverse(X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_493]) ).

fof(c_0_1409,plain,
    ! [X9,X5,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(X9,c_HOL_Ouminus__class_Ouminus(X5,X4),X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X9,X5,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_494]) ).

fof(c_0_1410,plain,
    ! [X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_495]) ).

fof(c_0_1411,plain,
    ! [X7,X5,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X5,X4),X7,X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X5,X7,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_496]) ).

fof(c_0_1412,plain,
    ! [X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_497]) ).

fof(c_0_1413,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_498]) ).

fof(c_0_1414,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oring(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_499]) ).

fof(c_0_1415,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oring(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_500]) ).

fof(c_0_1416,plain,
    ! [X5,X3,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Ouminus__class_Ouminus(X5,X4),X4) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X3,X5,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_501]) ).

fof(c_0_1417,plain,
    ! [X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X3,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_502]) ).

fof(c_0_1418,plain,
    ! [X7,X5,X4] :
      ( ~ class_RealVector_Oreal__normed__field(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X5,X4),X7,X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_503]) ).

fof(c_0_1419,plain,
    ! [X5,X3,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),X5,X4) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X3,X5,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_504]) ).

fof(c_0_1420,plain,
    ! [X9,X5,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X9,X4) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X5,X9,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_505]) ).

fof(c_0_1421,plain,
    ! [X2,X3,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),X2,X4) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X3,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_506]) ).

fof(c_0_1422,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_507]) ).

fof(c_0_1423,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_508]) ).

fof(c_0_1424,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Osgn__class_Osgn(X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_509]) ).

fof(c_0_1425,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_510]) ).

fof(c_0_1426,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_511]) ).

fof(c_0_1427,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_512]) ).

fof(c_0_1428,plain,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Opreorder(X4)
      | c_HOL_Oord__class_Oless(X5,X7,X4)
      | c_lessequals(X7,X5,X4)
      | ~ c_lessequals(X5,X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_513]) ).

fof(c_0_1429,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_514]) ).

fof(c_0_1430,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
      | ~ c_lessequals(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_515]) ).

fof(c_0_1431,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X4),c_HOL_Oone__class_Oone(X4),X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_516]) ).

fof(c_0_1432,plain,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X5,X4),c_HOL_Oone__class_Oone(X4),X4)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_517]) ).

fof(c_0_1433,plain,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X5,X4),c_HOL_Oone__class_Oone(X4),X4)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_518]) ).

fof(c_0_1434,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Oinverse(X3,X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_519]) ).

fof(c_0_1435,plain,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X5,X4),c_HOL_Oone__class_Oone(X4),X4)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(X4),X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_520]) ).

fof(c_0_1436,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_521]) ).

fof(c_0_1437,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_522]) ).

fof(c_0_1438,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Oinverse(X3,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_523]) ).

fof(c_0_1439,plain,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X5,X4),c_HOL_Oone__class_Oone(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_524]) ).

fof(c_0_1440,plain,
    ! [X5,X11] :
      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),X11,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_525]) ).

fof(c_0_1441,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | c_HOL_Otimes__class_Otimes(X3,X3,X4) != c_HOL_Otimes__class_Otimes(X2,X2,X4)
      | X3 = c_HOL_Ouminus__class_Ouminus(X2,X4)
      | X3 = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_526]) ).

fof(c_0_1442,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Oplus__class_Oplus(X3,X2,X4),X4) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_527]) ).

fof(c_0_1443,plain,
    ! [X6,X7,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X6,X4),c_HOL_Oplus__class_Oplus(X7,X6,X4),X4) = X7 ),
    inference(fof_simplification,[status(thm)],[c_0_528]) ).

fof(c_0_1444,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_529]) ).

fof(c_0_1445,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_530]) ).

fof(c_0_1446,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
      | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_531]) ).

fof(c_0_1447,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_532]) ).

fof(c_0_1448,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_533]) ).

fof(c_0_1449,plain,
    ! [X16,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Ozero__class_Ozero(X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X16,X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_534]) ).

fof(c_0_1450,plain,
    ! [X16,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X16,X4),X16,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_535]) ).

fof(c_0_1451,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_536]) ).

fof(c_0_1452,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_537]) ).

fof(c_0_1453,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Osgn__class_Osgn(X3,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_538]) ).

fof(c_0_1454,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_539]) ).

fof(c_0_1455,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_540]) ).

fof(c_0_1456,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_541]) ).

fof(c_0_1457,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Oinverse(X3,X4),X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_542]) ).

fof(c_0_1458,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_543]) ).

fof(c_0_1459,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(X2,X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_544]) ).

fof(c_0_1460,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(X3,X2,X4)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_545]) ).

fof(c_0_1461,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_546]) ).

fof(c_0_1462,plain,
    ! [X21,X15,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X21,X15,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X21,X4),X15,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_547]) ).

fof(c_0_1463,plain,
    ! [X21,X15,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X21,X15,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X21,c_HOL_Oabs__class_Oabs(X15,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_548]) ).

fof(c_0_1464,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X5,X7,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X5,X4),X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_549]) ).

fof(c_0_1465,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X5,X7,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X5,c_HOL_Ouminus__class_Ouminus(X7,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_550]) ).

fof(c_0_1466,plain,
    ! [X6,X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | ~ class_Int_Onumber__ring(X4)
      | c_HOL_Oplus__class_Oplus(X5,X7,X4) != c_HOL_Oplus__class_Oplus(X5,X6,X4)
      | X7 = X6 ),
    inference(fof_simplification,[status(thm)],[c_0_551]) ).

fof(c_0_1467,plain,
    ! [X5,X2,X3,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,X5,X4) != c_RealVector_OscaleR__class_OscaleR(X2,X5,X4)
      | X5 = c_HOL_Ozero__class_Ozero(X4)
      | X3 = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_552]) ).

fof(c_0_1468,plain,
    ! [X7,X5,X3,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,X5,X4) != c_RealVector_OscaleR__class_OscaleR(X3,X7,X4)
      | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X5 = X7 ),
    inference(fof_simplification,[status(thm)],[c_0_553]) ).

fof(c_0_1469,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_554]) ).

fof(c_0_1470,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_555]) ).

fof(c_0_1471,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
      | c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_556]) ).

fof(c_0_1472,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X3,X4)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_557]) ).

fof(c_0_1473,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_558]) ).

fof(c_0_1474,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_559]) ).

fof(c_0_1475,plain,
    ! [X16,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | X3 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X16,X4),X16,X4)
      | X16 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_560]) ).

fof(c_0_1476,plain,
    ! [X16,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X16,X4),X16,X4) = X3
      | X16 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_561]) ).

fof(c_0_1477,plain,
    ! [X16,X2,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | X2 = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X16,X4)
      | X16 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_562]) ).

fof(c_0_1478,plain,
    ! [X16,X2,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X16,X4),X16,X4) = X2
      | X16 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_563]) ).

fof(c_0_1479,plain,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | X5 = X7
      | ~ c_lessequals(X5,X7,X4)
      | ~ c_lessequals(X7,X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_564]) ).

fof(c_0_1480,plain,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | X5 = X7
      | ~ c_lessequals(X7,X5,X4)
      | ~ c_lessequals(X5,X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_565]) ).

fof(c_0_1481,plain,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | X5 = X7
      | ~ c_lessequals(X7,X5,X4)
      | ~ c_lessequals(X5,X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_566]) ).

fof(c_0_1482,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(X4),X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_567]) ).

fof(c_0_1483,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X4)
      | c_HOL_Oplus__class_Oplus(X3,X2,X4) != c_HOL_Oplus__class_Oplus(X3,X16,X4)
      | X2 = X16 ),
    inference(fof_simplification,[status(thm)],[c_0_568]) ).

fof(c_0_1484,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X4)
      | c_HOL_Oplus__class_Oplus(X3,X2,X4) != c_HOL_Oplus__class_Oplus(X3,X16,X4)
      | X2 = X16 ),
    inference(fof_simplification,[status(thm)],[c_0_569]) ).

fof(c_0_1485,plain,
    ! [X16,X2,X3,X4] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X4)
      | c_HOL_Oplus__class_Oplus(X2,X3,X4) != c_HOL_Oplus__class_Oplus(X16,X3,X4)
      | X2 = X16 ),
    inference(fof_simplification,[status(thm)],[c_0_570]) ).

fof(c_0_1486,plain,
    ! [X27,X28,X5,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Ominus__class_Ominus(X5,X5,X4) != c_HOL_Ominus__class_Ominus(X28,X27,X4)
      | X28 = X27 ),
    inference(fof_simplification,[status(thm)],[c_0_571]) ).

fof(c_0_1487,plain,
    ! [X7,X9,X5,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Ominus__class_Ominus(X9,X7,X4) != c_HOL_Ominus__class_Ominus(X5,X5,X4)
      | X9 = X7 ),
    inference(fof_simplification,[status(thm)],[c_0_572]) ).

fof(c_0_1488,plain,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Opreorder(X4)
      | ~ c_lessequals(X7,X5,X4)
      | ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_573]) ).

fof(c_0_1489,plain,
    ! [X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | ~ c_lessequals(X5,X5,X4)
      | ~ c_HOL_Oord__class_Oless(X5,X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_574]) ).

fof(c_0_1490,plain,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | ~ c_HOL_Oord__class_Oless(X5,X7,X4)
      | ~ c_lessequals(X7,X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_575]) ).

fof(c_0_1491,plain,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | ~ c_lessequals(X5,X7,X4)
      | ~ c_HOL_Oord__class_Oless(X7,X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_576]) ).

fof(c_0_1492,plain,
    ! [X2,X3,X4] :
      ( ~ class_Orderings_Opreorder(X4)
      | ~ c_HOL_Oord__class_Oless(X2,X3,X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_577]) ).

fof(c_0_1493,plain,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Opreorder(X4)
      | ~ c_HOL_Oord__class_Oless(X7,X5,X4)
      | ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_578]) ).

fof(c_0_1494,plain,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | ~ c_HOL_Oord__class_Oless(X5,X7,X4)
      | ~ c_HOL_Oord__class_Oless(X7,X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_579]) ).

fof(c_0_1495,plain,
    ! [X2,X3,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | ~ c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_HOL_Oord__class_Oless(X2,X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_580]) ).

fof(c_0_1496,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Oinverse__class_Odivide(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_581]) ).

fof(c_0_1497,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_582]) ).

fof(c_0_1498,plain,
    ! [X16,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | X16 = c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X16,X4),X16,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_583]) ).

fof(c_0_1499,plain,
    ! [X16,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | X16 = c_HOL_Ozero__class_Ozero(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X16,X4),X16,X4) = X3 ),
    inference(fof_simplification,[status(thm)],[c_0_584]) ).

fof(c_0_1500,plain,
    ! [X21,X15,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X21,X4),X15,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X21,X15,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_585]) ).

fof(c_0_1501,plain,
    ! [X21,X15,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X21,c_HOL_Oabs__class_Oabs(X15,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X21,X15,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_586]) ).

fof(c_0_1502,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X5,X4),X7,X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X5,X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_587]) ).

fof(c_0_1503,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X5,c_HOL_Ouminus__class_Ouminus(X7,X4),X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X5,X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_588]) ).

fof(c_0_1504,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Oinverse__class_Odivide(X3,X2,X4)
      | X2 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_589]) ).

fof(c_0_1505,plain,
    ! [X5,X11] :
      ( c_lessequals(X5,X11,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),X11,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_590]) ).

fof(c_0_1506,plain,
    ! [X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X2,X3,X4),X2,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_591]) ).

fof(c_0_1507,plain,
    ! [X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X3,X2,X4),X2,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_592]) ).

fof(c_0_1508,plain,
    ! [X6,X10] :
      ( X6 = X10
      | ~ c_lessequals(X10,X6,tc_RealDef_Oreal)
      | ~ c_lessequals(X6,X10,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_593]) ).

fof(c_0_1509,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X3,X2,X4),X2,X4) = X3 ),
    inference(fof_simplification,[status(thm)],[c_0_594]) ).

fof(c_0_1510,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X2,X4) = X3 ),
    inference(fof_simplification,[status(thm)],[c_0_595]) ).

fof(c_0_1511,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_596]) ).

fof(c_0_1512,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_597]) ).

fof(c_0_1513,plain,
    ! [X15,X2,X4] :
      ( ~ class_Ring__and__Field_Odvd(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X2,c_HOL_Otimes__class_Otimes(X2,X15,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_598]) ).

fof(c_0_1514,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X3,X4),X4) = c_HOL_Otimes__class_Otimes(X3,X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_599]) ).

fof(c_0_1515,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oring(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_600]) ).

fof(c_0_1516,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oring(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Otimes__class_Otimes(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_601]) ).

fof(c_0_1517,plain,
    ! [X2,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,X4),c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Otimes__class_Otimes(X2,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_602]) ).

fof(c_0_1518,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X4),X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_603]) ).

fof(c_0_1519,plain,
    ! [X7,X5] :
      ( c_lessequals(X5,X7,tc_RealDef_Oreal)
      | ~ c_lessequals(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_604]) ).

fof(c_0_1520,plain,
    ! [X7,X5] :
      ( c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_605]) ).

fof(c_0_1521,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X4),X4),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_606]) ).

fof(c_0_1522,plain,
    ! [X7] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_607]) ).

fof(c_0_1523,plain,
    ! [X5] :
      ( c_lessequals(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_NthRoot_Osqrt(X5),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_608]) ).

fof(c_0_1524,plain,
    ! [X7] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_609]) ).

fof(c_0_1525,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_610]) ).

fof(c_0_1526,plain,
    ! [X7] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_611]) ).

fof(c_0_1527,plain,
    ! [X7] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_612]) ).

fof(c_0_1528,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_613]) ).

fof(c_0_1529,plain,
    ! [X5] :
      ( c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_NthRoot_Osqrt(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_614]) ).

fof(c_0_1530,plain,
    ! [X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(X2,X3,X4) != c_HOL_Ozero__class_Ozero(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_615]) ).

fof(c_0_1531,plain,
    ! [X2,X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(X2,X3,X4) = c_HOL_Ozero__class_Ozero(X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_616]) ).

fof(c_0_1532,plain,
    ! [X5] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_617]) ).

fof(c_0_1533,plain,
    ! [X7] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_618]) ).

fof(c_0_1534,plain,
    ! [X5] :
      ( c_lessequals(c_NthRoot_Osqrt(X5),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_619]) ).

fof(c_0_1535,plain,
    ! [X7] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_620]) ).

fof(c_0_1536,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_621]) ).

fof(c_0_1537,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_622]) ).

fof(c_0_1538,plain,
    ! [X7] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_623]) ).

fof(c_0_1539,plain,
    ! [X7] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_624]) ).

fof(c_0_1540,plain,
    ! [X5] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_625]) ).

fof(c_0_1541,plain,
    ! [X5] :
      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_626]) ).

fof(c_0_1542,plain,
    ! [X5] :
      ( c_lessequals(c_NthRoot_Osqrt(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_627]) ).

fof(c_0_1543,plain,
    ! [X2,X3,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | X3 = X2
      | ~ c_lessequals(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_628]) ).

fof(c_0_1544,plain,
    ! [X2,X3,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | c_HOL_Oord__class_Oless(X3,X2,X4)
      | ~ c_lessequals(X3,X2,X4)
      | X3 = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_629]) ).

fof(c_0_1545,plain,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | X5 = X7
      | ~ c_lessequals(X5,X7,X4)
      | c_HOL_Oord__class_Oless(X5,X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_630]) ).

fof(c_0_1546,plain,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | X5 = X7
      | c_HOL_Oord__class_Oless(X5,X7,X4)
      | ~ c_lessequals(X5,X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_631]) ).

fof(c_0_1547,plain,
    ! [X2,X3,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | c_HOL_Oord__class_Oless(X2,X3,X4)
      | ~ c_lessequals(X2,X3,X4)
      | X3 = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_632]) ).

fof(c_0_1548,plain,
    ! [X2,X3,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | c_HOL_Oord__class_Oless(X2,X3,X4)
      | X3 = X2
      | ~ c_lessequals(X2,X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_633]) ).

fof(c_0_1549,plain,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | X5 = X7
      | c_HOL_Oord__class_Oless(X5,X7,X4)
      | ~ c_lessequals(X5,X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_634]) ).

fof(c_0_1550,plain,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | c_HOL_Oord__class_Oless(X5,X7,X4)
      | X5 = X7
      | ~ c_lessequals(X5,X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_635]) ).

fof(c_0_1551,plain,
    ! [X7,X5] :
      ( c_lessequals(c_Transcendental_Oarctan(X5),c_Transcendental_Oarctan(X7),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X7,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_636]) ).

fof(c_0_1552,plain,
    ! [X7,X5] :
      ( c_lessequals(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal)
      | ~ c_lessequals(X5,X7,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_637]) ).

fof(c_0_1553,plain,
    ! [X7,X5] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X5),c_Transcendental_Oarctan(X7),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_638]) ).

fof(c_0_1554,plain,
    ! [X7,X5] :
      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_639]) ).

fof(c_0_1555,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Int_Onumber__ring(X4)
      | c_HOL_Oinverse__class_Odivide(X5,X7,X4) = c_HOL_Otimes__class_Otimes(X5,c_HOL_Oinverse__class_Oinverse(X7,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_640]) ).

fof(c_0_1556,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_641]) ).

fof(c_0_1557,plain,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | c_lessequals(X5,X7,X4)
      | ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_642]) ).

fof(c_0_1558,plain,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Opreorder(X4)
      | c_lessequals(X5,X7,X4)
      | ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_643]) ).

fof(c_0_1559,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X3,X4),X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_644]) ).

fof(c_0_1560,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_645]) ).

fof(c_0_1561,plain,
    ! [X7,X5,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Ominus__class_Ominus(X5,X7,X4) = c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X7,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_646]) ).

fof(c_0_1562,plain,
    ! [X7,X5,X4] :
      ( ~ class_Int_Onumber__ring(X4)
      | c_HOL_Ominus__class_Ominus(X5,X7,X4) = c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X7,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_647]) ).

fof(c_0_1563,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ominus__class_Ominus(X3,X2,X4) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_648]) ).

fof(c_0_1564,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Ominus__class_Ominus(X3,X2,X4) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_649]) ).

fof(c_0_1565,plain,
    ! [X5,X11,X4] :
      ( ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_OscaleR__class_OscaleR(X11,X5,X4) = c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X11,X4),X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_650]) ).

fof(c_0_1566,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ominus__class_Ominus(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Oplus__class_Oplus(X3,X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_651]) ).

fof(c_0_1567,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Oinverse__class_Odivide(X3,X2,X4) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_652]) ).

fof(c_0_1568,plain,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | X5 = c_HOL_Ozero__class_Ozero(X4)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X5,X4),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_653]) ).

fof(c_0_1569,plain,
    ! [X7,X5] :
      ( c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal)
      | X5 = X7
      | ~ c_lessequals(X5,X7,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_654]) ).

fof(c_0_1570,plain,
    ! [X3,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X4)
      | c_HOL_Oabs__class_Oabs(X3,X4) = c_HOL_Ouminus__class_Ouminus(X3,X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_655]) ).

fof(c_0_1571,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Osgn__class_Osgn(X3,X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X4),X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_656]) ).

fof(c_0_1572,plain,
    ! [X7,X5] :
      ( c_lessequals(X5,X7,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_657]) ).

fof(c_0_1573,plain,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X5,X4),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_658]) ).

fof(c_0_1574,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_HOL_Oabs__class_Oabs(X3,X4) = c_HOL_Ouminus__class_Ouminus(X3,X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_659]) ).

fof(c_0_1575,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oabs__if(X4)
      | c_HOL_Oabs__class_Oabs(X3,X4) = c_HOL_Ouminus__class_Ouminus(X3,X4)
      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_660]) ).

fof(c_0_1576,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_HOL_Oabs__class_Oabs(X3,X4) = c_HOL_Ouminus__class_Ouminus(X3,X4)
      | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_661]) ).

fof(c_0_1577,plain,
    ! [X2,X3,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Ozero__class_Ozero(X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_662]) ).

fof(c_0_1578,plain,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Osgn__if(X4)
      | c_HOL_Osgn__class_Osgn(X5,X4) = c_HOL_Oone__class_Oone(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X5,X4)
      | X5 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_663]) ).

fof(c_0_1579,axiom,
    ! [X5,X3] :
      ( c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X5 = X3 ),
    c_0_664 ).

fof(c_0_1580,plain,
    ! [X7,X5,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_665]) ).

fof(c_0_1581,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Osgn__class_Osgn(X3,X4) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X4),X4)
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_666]) ).

fof(c_0_1582,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Osgn__class_Osgn(X3,X4) = c_HOL_Oone__class_Oone(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_667]) ).

fof(c_0_1583,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oord__class_Oless(X7,X5,X4)
      | c_HOL_Oord__class_Oless(X5,X7,X4)
      | X5 = X7 ),
    inference(fof_simplification,[status(thm)],[c_0_668]) ).

fof(c_0_1584,plain,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | X5 = X7
      | c_HOL_Oord__class_Oless(X7,X5,X4)
      | c_HOL_Oord__class_Oless(X5,X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_669]) ).

fof(c_0_1585,plain,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | X5 = X7
      | c_HOL_Oord__class_Oless(X5,X7,X4)
      | c_HOL_Oord__class_Oless(X7,X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_670]) ).

fof(c_0_1586,plain,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | c_HOL_Oord__class_Oless(X7,X5,X4)
      | X5 = X7
      | c_HOL_Oord__class_Oless(X5,X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_671]) ).

fof(c_0_1587,plain,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | c_HOL_Oord__class_Oless(X7,X5,X4)
      | c_HOL_Oord__class_Oless(X5,X7,X4)
      | X5 = X7 ),
    inference(fof_simplification,[status(thm)],[c_0_672]) ).

fof(c_0_1588,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_HOL_Oabs__class_Oabs(X3,X4) = X3
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_673]) ).

fof(c_0_1589,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_HOL_Oabs__class_Oabs(X3,X4) = X3
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_674]) ).

fof(c_0_1590,plain,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | c_HOL_Oord__class_Oless(X5,X7,X4)
      | c_lessequals(X7,X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_675]) ).

fof(c_0_1591,plain,
    ! [X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | c_HOL_Oord__class_Oless(X5,X5,X4)
      | c_lessequals(X5,X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_676]) ).

fof(c_0_1592,plain,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | c_lessequals(X7,X5,X4)
      | c_HOL_Oord__class_Oless(X5,X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_677]) ).

fof(c_0_1593,plain,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | c_HOL_Oord__class_Oless(X7,X5,X4)
      | c_lessequals(X5,X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_678]) ).

fof(c_0_1594,plain,
    ! [X7,X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | c_lessequals(X7,X5,X4)
      | c_lessequals(X5,X7,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_679]) ).

fof(c_0_1595,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(X5,X7,X4) = c_HOL_Otimes__class_Otimes(X7,X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_680]) ).

fof(c_0_1596,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(X3,X2,X4) = c_HOL_Otimes__class_Otimes(X2,X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_681]) ).

fof(c_0_1597,plain,
    ! [X16,X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(X3,X16,X4) = c_HOL_Oplus__class_Oplus(X16,X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_682]) ).

fof(c_0_1598,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(X5,X7,X4) = c_HOL_Oplus__class_Oplus(X7,X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_683]) ).

fof(c_0_1599,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
      | c_HOL_Oplus__class_Oplus(X3,X2,X4) = c_HOL_Oplus__class_Oplus(X2,X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_684]) ).

fof(c_0_1600,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | c_HOL_Otimes__class_Otimes(X3,X2,X4) != c_HOL_Oone__class_Oone(X4)
      | c_HOL_Oinverse__class_Oinverse(X3,X4) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_685]) ).

fof(c_0_1601,plain,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X5,X4),c_HOL_Oabs__class_Oabs(X5,X4),X4) = X5 ),
    inference(fof_simplification,[status(thm)],[c_0_686]) ).

fof(c_0_1602,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Oplus__class_Oplus(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
      | c_HOL_Ouminus__class_Ouminus(X3,X4) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_687]) ).

fof(c_0_1603,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Oplus__class_Oplus(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ouminus__class_Ouminus(X2,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_688]) ).

fof(c_0_1604,plain,
    ! [X5,X4] :
      ( ~ class_Int_Onumber__ring(X4)
      | c_HOL_Ouminus__class_Ouminus(X5,X4) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X4),X4),X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_689]) ).

fof(c_0_1605,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Oabs__class_Oabs(X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_690]) ).

fof(c_0_1606,plain,
    ! [X11] :
      ( c_HOL_Oabs__class_Oabs(X11,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X11,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_691]) ).

fof(c_0_1607,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_692]) ).

fof(c_0_1608,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X4)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_693]) ).

fof(c_0_1609,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X4)
      | c_HOL_Otimes__class_Otimes(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X2 = c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_694]) ).

fof(c_0_1610,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X4)
      | c_HOL_Otimes__class_Otimes(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X2 = c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_695]) ).

fof(c_0_1611,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X4)
      | c_HOL_Otimes__class_Otimes(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4)
      | X2 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_696]) ).

fof(c_0_1612,plain,
    ! [X7,X5,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | ~ class_Int_Onumber__ring(X4)
      | c_HOL_Ominus__class_Ominus(X5,X7,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X5 = X7 ),
    inference(fof_simplification,[status(thm)],[c_0_697]) ).

fof(c_0_1613,plain,
    ! [X5,X3,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,X5,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X5 = c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_698]) ).

fof(c_0_1614,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_699]) ).

fof(c_0_1615,plain,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Osgn__if(X4)
      | c_HOL_Osgn__class_Osgn(X5,X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X4),X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X5,X4)
      | X5 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_700]) ).

fof(c_0_1616,plain,
    ! [X5,X3,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | ~ class_Int_Onumber__ring(X4)
      | X5 != c_HOL_Oplus__class_Oplus(X5,X3,X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_701]) ).

fof(c_0_1617,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Oinverse__class_Odivide(X3,X2,X4) != c_HOL_Oone__class_Oone(X4)
      | X2 = c_HOL_Ozero__class_Ozero(X4)
      | X3 = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_702]) ).

fof(c_0_1618,axiom,
    ! [X6,X10] :
      ( c_lessequals(X10,X6,tc_RealDef_Oreal)
      | c_lessequals(X6,X10,tc_RealDef_Oreal) ),
    c_0_703 ).

fof(c_0_1619,plain,
    ! [X14,X15,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oabs__class_Oabs(X14,X4) != c_HOL_Oabs__class_Oabs(X15,X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X14,X15,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_704]) ).

fof(c_0_1620,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_705]) ).

fof(c_0_1621,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_HOL_Oplus__class_Oplus(X3,X3,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_706]) ).

fof(c_0_1622,plain,
    ! [X5] :
      ( c_NthRoot_Osqrt(X5) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_707]) ).

fof(c_0_1623,plain,
    ! [X15,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oabs__class_Oabs(X15,X4) = c_HOL_Otimes__class_Otimes(X15,c_HOL_Osgn__class_Osgn(X15,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_708]) ).

fof(c_0_1624,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_709]) ).

fof(c_0_1625,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Ominus__class_Ominus(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X3 = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_710]) ).

fof(c_0_1626,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ominus__class_Ominus(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X3 = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_711]) ).

fof(c_0_1627,axiom,
    ! [X7,X5] :
      ( c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X7 = c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal) ),
    c_0_712 ).

fof(c_0_1628,plain,
    ! [X5] :
      ( c_NthRoot_Osqrt(X5) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_713]) ).

fof(c_0_1629,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oabs__class_Oabs(X3,X4),X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_714]) ).

fof(c_0_1630,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X4),X3,X4) = c_HOL_Oone__class_Oone(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_715]) ).

fof(c_0_1631,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X4),X3,X4) = c_HOL_Oone__class_Oone(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_716]) ).

fof(c_0_1632,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X3,X4),X4) = c_HOL_Oone__class_Oone(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_717]) ).

fof(c_0_1633,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Osgn__class_Osgn(X3,X4) != c_HOL_Oone__class_Oone(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_718]) ).

fof(c_0_1634,plain,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X4),tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_719]) ).

fof(c_0_1635,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X3,X4),X4) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_720]) ).

fof(c_0_1636,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X3,X4),X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_721]) ).

fof(c_0_1637,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oabs__class_Oabs(X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_722]) ).

fof(c_0_1638,plain,
    ! [X5,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | ~ c_HOL_Oord__class_Oless(X5,X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_723]) ).

fof(c_0_1639,plain,
    ! [X5,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | ~ c_HOL_Oord__class_Oless(X5,X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_724]) ).

fof(c_0_1640,plain,
    ! [X5,X4] :
      ( ~ class_Orderings_Opreorder(X4)
      | ~ c_HOL_Oord__class_Oless(X5,X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_725]) ).

fof(c_0_1641,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__field(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X3,X4),X4) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X3,X4),X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_726]) ).

fof(c_0_1642,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X3,X4),X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X3,X4),X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_727]) ).

fof(c_0_1643,plain,
    ! [X2,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X4),X2,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_728]) ).

fof(c_0_1644,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,X4),X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_729]) ).

fof(c_0_1645,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Oplus__class_Oplus(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_730]) ).

fof(c_0_1646,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,X4),X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_731]) ).

fof(c_0_1647,plain,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X4) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X5,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_732]) ).

fof(c_0_1648,plain,
    ! [X3,X4] :
      ( ~ class_Orderings_Olinorder(X4)
      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X4)
      | c_HOL_Oabs__class_Oabs(X3,X4) = X3
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_733]) ).

fof(c_0_1649,plain,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X4),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_734]) ).

fof(c_0_1650,plain,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Int_Onumber__ring(X4)
      | c_HOL_Oinverse__class_Oinverse(X5,X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_735]) ).

fof(c_0_1651,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(X3,c_HOL_Oabs__class_Oabs(X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_736]) ).

fof(c_0_1652,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Oinverse__class_Oinverse(X3,X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X3,X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_737]) ).

fof(c_0_1653,plain,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X5,X4),X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X5,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_738]) ).

fof(c_0_1654,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_739]) ).

fof(c_0_1655,plain,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X4) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X5,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_740]) ).

fof(c_0_1656,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oabs__if(X4)
      | c_HOL_Oabs__class_Oabs(X3,X4) = X3
      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_741]) ).

fof(c_0_1657,plain,
    ! [X11,X4] :
      ( ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_Oof__real(X11,X4) = c_RealVector_OscaleR__class_OscaleR(X11,c_HOL_Oone__class_Oone(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_742]) ).

fof(c_0_1658,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X4),X3,X4) = c_HOL_Ouminus__class_Ouminus(X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_743]) ).

fof(c_0_1659,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Oinverse__class_Oinverse(X3,X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_744]) ).

fof(c_0_1660,plain,
    ! [X2,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_745]) ).

fof(c_0_1661,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_746]) ).

fof(c_0_1662,plain,
    ! [X2,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Ozero__class_Ozero(X4) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_747]) ).

fof(c_0_1663,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_Oof__real(v_r,X4) = c_RealVector_OscaleR__class_OscaleR(v_r,c_HOL_Oone__class_Oone(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_748]) ).

fof(c_0_1664,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Odivide(X3,X3,X4) = c_HOL_Oone__class_Oone(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_749]) ).

fof(c_0_1665,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_750]) ).

fof(c_0_1666,plain,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | ~ class_Int_Onumber__ring(X4)
      | X5 = c_HOL_Oplus__class_Oplus(X5,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_751]) ).

fof(c_0_1667,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X4)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oone__class_Oone(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_752]) ).

fof(c_0_1668,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X4)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oone__class_Oone(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_753]) ).

fof(c_0_1669,plain,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Oidom(X4)
      | ~ class_Int_Onumber__ring(X4)
      | c_HOL_Ominus__class_Ominus(X5,X5,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_754]) ).

fof(c_0_1670,plain,
    ! [X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X4),X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_755]) ).

fof(c_0_1671,plain,
    ! [X3,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_756]) ).

fof(c_0_1672,plain,
    ! [X3,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_757]) ).

fof(c_0_1673,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_758]) ).

fof(c_0_1674,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_759]) ).

fof(c_0_1675,plain,
    ! [X7,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X7,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_760]) ).

fof(c_0_1676,plain,
    ! [X2,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X2,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_761]) ).

fof(c_0_1677,plain,
    ! [X3,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_762]) ).

fof(c_0_1678,plain,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra(X4)
      | c_HOL_Otimes__class_Otimes(X5,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_763]) ).

fof(c_0_1679,plain,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X5,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_764]) ).

fof(c_0_1680,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Omult__zero(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_765]) ).

fof(c_0_1681,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Omult__zero(X4)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_766]) ).

fof(c_0_1682,plain,
    ! [X2,X4] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X2,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_767]) ).

fof(c_0_1683,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X4)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_768]) ).

fof(c_0_1684,plain,
    ! [X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(X3,c_HOL_Oone__class_Oone(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_769]) ).

fof(c_0_1685,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X4),X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_770]) ).

fof(c_0_1686,plain,
    ! [X7,X4] :
      ( ~ class_RealVector_Oreal__normed__field(X4)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X4),X7,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_771]) ).

fof(c_0_1687,plain,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | X5 = c_HOL_Ozero__class_Ozero(X4)
      | c_HOL_Oinverse__class_Odivide(X5,X5,X4) = c_HOL_Oone__class_Oone(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_772]) ).

fof(c_0_1688,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Oinverse__class_Odivide(X3,X3,X4) = c_HOL_Oone__class_Oone(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_773]) ).

fof(c_0_1689,axiom,
    ! [X11] :
      ( c_HOL_Oabs__class_Oabs(X11,tc_RealDef_Oreal) = X11
      | c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_774 ).

fof(c_0_1690,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oone__class_Oone(X4),X4) = X3 ),
    inference(fof_simplification,[status(thm)],[c_0_775]) ).

fof(c_0_1691,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ominus__class_Ominus(X3,c_HOL_Ozero__class_Ozero(X4),X4) = X3 ),
    inference(fof_simplification,[status(thm)],[c_0_776]) ).

fof(c_0_1692,plain,
    ! [X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(X3,c_HOL_Ozero__class_Ozero(X4),X4) = X3 ),
    inference(fof_simplification,[status(thm)],[c_0_777]) ).

fof(c_0_1693,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Omonoid__mult(X4)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Oone__class_Oone(X4),X4) = X3 ),
    inference(fof_simplification,[status(thm)],[c_0_778]) ).

fof(c_0_1694,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Omonoid__mult(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X4),X3,X4) = X3 ),
    inference(fof_simplification,[status(thm)],[c_0_779]) ).

fof(c_0_1695,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X4),X3,X4) = X3 ),
    inference(fof_simplification,[status(thm)],[c_0_780]) ).

fof(c_0_1696,plain,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X4),X5,X4) = X5 ),
    inference(fof_simplification,[status(thm)],[c_0_781]) ).

fof(c_0_1697,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Oone__class_Oone(X4),X4) = X3 ),
    inference(fof_simplification,[status(thm)],[c_0_782]) ).

fof(c_0_1698,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X4),X3,X4) = X3 ),
    inference(fof_simplification,[status(thm)],[c_0_783]) ).

fof(c_0_1699,plain,
    ! [X2,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_784]) ).

fof(c_0_1700,plain,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_785]) ).

fof(c_0_1701,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Omonoid__add(X4)
      | c_HOL_Oplus__class_Oplus(X3,c_HOL_Ozero__class_Ozero(X4),X4) = X3 ),
    inference(fof_simplification,[status(thm)],[c_0_786]) ).

fof(c_0_1702,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Omonoid__add(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),X3,X4) = X3 ),
    inference(fof_simplification,[status(thm)],[c_0_787]) ).

fof(c_0_1703,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
      | c_HOL_Oplus__class_Oplus(X3,c_HOL_Ozero__class_Ozero(X4),X4) = X3 ),
    inference(fof_simplification,[status(thm)],[c_0_788]) ).

fof(c_0_1704,plain,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),X5,X4) = X5 ),
    inference(fof_simplification,[status(thm)],[c_0_789]) ).

fof(c_0_1705,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),X3,X4) = X3 ),
    inference(fof_simplification,[status(thm)],[c_0_790]) ).

fof(c_0_1706,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(X3,c_HOL_Ozero__class_Ozero(X4),X4) = X3 ),
    inference(fof_simplification,[status(thm)],[c_0_791]) ).

fof(c_0_1707,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),X3,X4) = X3 ),
    inference(fof_simplification,[status(thm)],[c_0_792]) ).

fof(c_0_1708,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X4),X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_793]) ).

fof(c_0_1709,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_794]) ).

fof(c_0_1710,plain,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__vector(X4)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5,X4) = X5 ),
    inference(fof_simplification,[status(thm)],[c_0_795]) ).

fof(c_0_1711,plain,
    ! [X5,X4] :
      ( ~ class_OrderedGroup_Oab__group__add(X4)
      | c_HOL_Ominus__class_Ominus(X5,X5,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_796]) ).

fof(c_0_1712,plain,
    ! [X5,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ominus__class_Ominus(X5,X5,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_797]) ).

fof(c_0_1713,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ominus__class_Ominus(X3,X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_798]) ).

fof(c_0_1714,plain,
    ! [X3,X4] :
      ( ~ class_Divides_Osemiring__div(X4)
      | c_Divides_Odiv__class_Omod(X3,X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_799]) ).

fof(c_0_1715,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | c_HOL_Oinverse__class_Oinverse(X3,X4) != c_HOL_Oinverse__class_Oinverse(X2,X4)
      | X3 = X2
      | X2 = c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_800]) ).

fof(c_0_1716,plain,
    ! [X5,X4] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X4)
      | c_HOL_Otimes__class_Otimes(X5,X5,X4) = X5 ),
    inference(fof_simplification,[status(thm)],[c_0_801]) ).

fof(c_0_1717,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_802]) ).

fof(c_0_1718,plain,
    ! [X5,X4] :
      ( ~ class_Orderings_Opreorder(X4)
      | c_lessequals(X5,X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_803]) ).

fof(c_0_1719,plain,
    ! [X5,X4] :
      ( ~ class_Orderings_Oorder(X4)
      | c_lessequals(X5,X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_804]) ).

fof(c_0_1720,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X4),X4),X4) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_805]) ).

fof(c_0_1721,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X3,X4),X4) = c_HOL_Osgn__class_Osgn(X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_806]) ).

fof(c_0_1722,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X3,X4),X4) = c_HOL_Oabs__class_Oabs(X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_807]) ).

fof(c_0_1723,plain,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X5,X4),X4) = c_RealVector_Onorm__class_Onorm(X5,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_808]) ).

fof(c_0_1724,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X3,X4),X4) = c_HOL_Oabs__class_Oabs(X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_809]) ).

fof(c_0_1725,plain,
    ! [X2,X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Oinverse(X3,X4) != c_HOL_Oinverse__class_Oinverse(X2,X4)
      | X3 = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_810]) ).

fof(c_0_1726,plain,
    ! [X11,X4] :
      ( ~ class_RealVector_Oreal__normed__algebra__1(X4)
      | c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X11,X4),X4) = c_HOL_Oabs__class_Oabs(X11,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_811]) ).

fof(c_0_1727,plain,
    ! [X3,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X3,X4),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X3,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_812]) ).

fof(c_0_1728,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X3,X4),X4) = X3 ),
    inference(fof_simplification,[status(thm)],[c_0_813]) ).

fof(c_0_1729,plain,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X5,X4),X4) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_814]) ).

fof(c_0_1730,plain,
    ! [X7,X5,X4] :
      ( ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_Oof__real(X5,X4) != c_RealVector_Oof__real(X7,X4)
      | X5 = X7 ),
    inference(fof_simplification,[status(thm)],[c_0_815]) ).

fof(c_0_1731,plain,
    ! [X7,X5,X4] :
      ( ~ class_Lattices_Oboolean__algebra(X4)
      | c_HOL_Ouminus__class_Ouminus(X5,X4) != c_HOL_Ouminus__class_Ouminus(X7,X4)
      | X5 = X7 ),
    inference(fof_simplification,[status(thm)],[c_0_816]) ).

fof(c_0_1732,plain,
    ! [X2,X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ouminus__class_Ouminus(X3,X4) != c_HOL_Ouminus__class_Ouminus(X2,X4)
      | X3 = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_817]) ).

fof(c_0_1733,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X3,X4),X4) = X3
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_818]) ).

fof(c_0_1734,plain,
    ! [X5,X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Oinverse(X5,X4) != c_HOL_Oone__class_Oone(X4)
      | X5 = c_HOL_Oone__class_Oone(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_819]) ).

fof(c_0_1735,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Oinverse(X3,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_820]) ).

fof(c_0_1736,plain,
    ! [X2,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_821]) ).

fof(c_0_1737,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | X3 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_822]) ).

fof(c_0_1738,plain,
    ! [X2,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_823]) ).

fof(c_0_1739,plain,
    ! [X5,X4] :
      ( ~ class_Lattices_Oboolean__algebra(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X5,X4),X4) = X5 ),
    inference(fof_simplification,[status(thm)],[c_0_824]) ).

fof(c_0_1740,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X3,X4),X4) = X3 ),
    inference(fof_simplification,[status(thm)],[c_0_825]) ).

fof(c_0_1741,axiom,
    ! [X20,X21] :
      ( c_RealDef_Oreal(X20,tc_nat) != c_RealDef_Oreal(X21,tc_nat)
      | X20 = X21 ),
    c_0_826 ).

fof(c_0_1742,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Osgn__class_Osgn(X3,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_827]) ).

fof(c_0_1743,plain,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_HOL_Osgn__class_Osgn(X5,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X5 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_828]) ).

fof(c_0_1744,plain,
    ! [X3,X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | c_HOL_Oinverse__class_Oinverse(X3,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_829]) ).

fof(c_0_1745,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_HOL_Oabs__class_Oabs(X3,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_830]) ).

fof(c_0_1746,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ouminus__class_Ouminus(X3,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_831]) ).

fof(c_0_1747,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ozero__class_Ozero(X4) != c_HOL_Ouminus__class_Ouminus(X3,X4)
      | c_HOL_Ozero__class_Ozero(X4) = X3 ),
    inference(fof_simplification,[status(thm)],[c_0_832]) ).

fof(c_0_1748,plain,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_Oof__real(X5,X4) != c_HOL_Ozero__class_Ozero(X4)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_833]) ).

fof(c_0_1749,plain,
    ! [X5,X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_Onorm__class_Onorm(X5,X4) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_834]) ).

fof(c_0_1750,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_835]) ).

fof(c_0_1751,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Ofield(X4)
      | ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X4),X4) = c_HOL_Oone__class_Oone(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_836]) ).

fof(c_0_1752,plain,
    ! [X3,X4] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
      | c_HOL_Ouminus__class_Ouminus(X3,X4) != X3
      | X3 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_837]) ).

fof(c_0_1753,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_838]) ).

fof(c_0_1754,axiom,
    ! [X5] :
      ( c_Transcendental_Osin(X5) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X5),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    c_0_839 ).

fof(c_0_1755,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_840]) ).

fof(c_0_1756,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X4),X4) = c_HOL_Oone__class_Oone(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_841]) ).

fof(c_0_1757,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_842]) ).

fof(c_0_1758,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Odivision__ring(X4)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X4),X4) = c_HOL_Oone__class_Oone(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_843]) ).

fof(c_0_1759,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__algebra__1(X4)
      | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X4),X4) = c_HOL_Oone__class_Oone(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_844]) ).

fof(c_0_1760,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_845]) ).

fof(c_0_1761,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Osgn__if(X4)
      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_846]) ).

fof(c_0_1762,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Oordered__idom(X4)
      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_847]) ).

fof(c_0_1763,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_848]) ).

fof(c_0_1764,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_849]) ).

fof(c_0_1765,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ozero__class_Ozero(X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(fof_simplification,[status(thm)],[c_0_850]) ).

fof(c_0_1766,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__algebra__1(X4)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X4),X4) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_851]) ).

fof(c_0_1767,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_852]) ).

fof(c_0_1768,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X4) = c_HOL_Oone__class_Oone(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_853]) ).

fof(c_0_1769,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__algebra__1(X4)
      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_854]) ).

fof(c_0_1770,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X4)
      | c_HOL_Oone__class_Oone(X4) != c_HOL_Ozero__class_Ozero(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_855]) ).

fof(c_0_1771,plain,
    ! [X4] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X4)
      | c_HOL_Ozero__class_Ozero(X4) != c_HOL_Oone__class_Oone(X4) ),
    inference(fof_simplification,[status(thm)],[c_0_856]) ).

fof(c_0_1772,plain,
    ! [X1] :
      ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X1))
      | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_857]) ).

fof(c_0_1773,plain,
    ! [X1] :
      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_858]) ).

fof(c_0_1774,plain,
    ! [X1] :
      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_859]) ).

fof(c_0_1775,plain,
    ! [X1] :
      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_860]) ).

fof(c_0_1776,plain,
    ! [X1] :
      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_861]) ).

fof(c_0_1777,plain,
    ! [X1] :
      ( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_862]) ).

fof(c_0_1778,plain,
    ! [X1] :
      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_863]) ).

fof(c_0_1779,plain,
    ! [X1] :
      ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_864]) ).

fof(c_0_1780,plain,
    ! [X1] :
      ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_865]) ).

fof(c_0_1781,plain,
    ! [X1] :
      ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_866]) ).

fof(c_0_1782,plain,
    ! [X1] :
      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))
      | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_867]) ).

fof(c_0_1783,plain,
    ! [X1] :
      ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_868]) ).

fof(c_0_1784,plain,
    ! [X1] :
      ( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_869]) ).

fof(c_0_1785,plain,
    ! [X1] :
      ( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_870]) ).

fof(c_0_1786,plain,
    ! [X1] :
      ( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X1))
      | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_871]) ).

fof(c_0_1787,plain,
    ! [X1] :
      ( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_872]) ).

fof(c_0_1788,plain,
    ! [X1] :
      ( class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_873]) ).

fof(c_0_1789,plain,
    ! [X1] :
      ( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_874]) ).

fof(c_0_1790,plain,
    ! [X1] :
      ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_875]) ).

fof(c_0_1791,plain,
    ! [X1] :
      ( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_876]) ).

fof(c_0_1792,plain,
    ! [X1] :
      ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_877]) ).

fof(c_0_1793,plain,
    ! [X1] :
      ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_878]) ).

fof(c_0_1794,plain,
    ! [X1] :
      ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_879]) ).

fof(c_0_1795,plain,
    ! [X1] :
      ( class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_880]) ).

fof(c_0_1796,plain,
    ! [X1] :
      ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X1))
      | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_881]) ).

fof(c_0_1797,plain,
    ! [X1] :
      ( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_882]) ).

fof(c_0_1798,plain,
    ! [X1] :
      ( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_883]) ).

fof(c_0_1799,plain,
    ! [X1] :
      ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X1))
      | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_884]) ).

fof(c_0_1800,plain,
    ! [X1] :
      ( class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_885]) ).

fof(c_0_1801,plain,
    ! [X1] :
      ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_886]) ).

fof(c_0_1802,plain,
    ! [X1] :
      ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_887]) ).

fof(c_0_1803,plain,
    ! [X1] :
      ( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_888]) ).

fof(c_0_1804,plain,
    ! [X1] :
      ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X1))
      | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_889]) ).

fof(c_0_1805,plain,
    ! [X1] :
      ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_890]) ).

fof(c_0_1806,plain,
    ! [X1] :
      ( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_891]) ).

fof(c_0_1807,plain,
    ! [X1] :
      ( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_892]) ).

fof(c_0_1808,plain,
    ! [X1] :
      ( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_893]) ).

fof(c_0_1809,plain,
    ! [X1] :
      ( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_894]) ).

fof(c_0_1810,plain,
    ! [X1] :
      ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X1))
      | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_895]) ).

fof(c_0_1811,plain,
    ! [X1] :
      ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X1))
      | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_896]) ).

fof(c_0_1812,plain,
    ! [X1] :
      ( class_Ring__and__Field_Osgn__if(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_897]) ).

fof(c_0_1813,plain,
    ! [X1] :
      ( class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_898]) ).

fof(c_0_1814,plain,
    ! [X1] :
      ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_899]) ).

fof(c_0_1815,plain,
    ! [X1] :
      ( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_900]) ).

fof(c_0_1816,plain,
    ! [X1] :
      ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_901]) ).

fof(c_0_1817,plain,
    ! [X1] :
      ( class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_902]) ).

fof(c_0_1818,plain,
    ! [X1] :
      ( class_Orderings_Opreorder(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_903]) ).

fof(c_0_1819,plain,
    ! [X1] :
      ( class_Orderings_Olinorder(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_904]) ).

fof(c_0_1820,plain,
    ! [X1] :
      ( class_Divides_Oring__div(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_905]) ).

fof(c_0_1821,plain,
    ! [X1] :
      ( class_Orderings_Oorder(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_906]) ).

fof(c_0_1822,plain,
    ! [X1] :
      ( class_Int_Onumber__ring(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_907]) ).

fof(c_0_1823,axiom,
    ! [X5] :
      ( c_Transcendental_Ocos(X5) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | c_Transcendental_Osin(X5) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_908 ).

fof(c_0_1824,axiom,
    ! [X7,X5] :
      ( c_NthRoot_Osqrt(X5) != c_NthRoot_Osqrt(X7)
      | X5 = X7 ),
    c_0_909 ).

fof(c_0_1825,axiom,
    ! [X25,X26] :
      ( c_Suc(X26) != c_Suc(X25)
      | X26 = X25 ),
    c_0_910 ).

fof(c_0_1826,axiom,
    ! [X7,X5] :
      ( c_Suc(X5) != c_Suc(X7)
      | X5 = X7 ),
    c_0_911 ).

fof(c_0_1827,axiom,
    ! [X7,X5] :
      ( c_Complex_Ocnj(X5) != c_Complex_Ocnj(X7)
      | X5 = X7 ),
    c_0_912 ).

fof(c_0_1828,axiom,
    ! [X5] :
      ( c_NthRoot_Osqrt(X5) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X5 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    c_0_913 ).

fof(c_0_1829,axiom,
    ! [X5] :
      ( c_NthRoot_Osqrt(X5) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_914 ).

fof(c_0_1830,plain,
    ! [X8,X9,X10,X11,X12] :
      ( ~ class_RealVector_Oreal__normed__algebra(X12)
      | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X9,X8,X12),c_HOL_Otimes__class_Otimes(X11,X10,X12),X12) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X9,X11,X12),c_HOL_Ominus__class_Ominus(X8,X10,X12),X12),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X9,X11,X12),X10,X12),X12),c_HOL_Otimes__class_Otimes(X11,c_HOL_Ominus__class_Ominus(X8,X10,X12),X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_915]) ).

fof(c_0_1831,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X22)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X21,X20,X22),c_HOL_Oplus__class_Oplus(X19,X18,X22),X22),X22),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X21,X19,X22),X22),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X20,X18,X22),X22),X22),X22) ),
    inference(variable_rename,[status(thm)],[c_0_916]) ).

fof(c_0_1832,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_RealVector_Oreal__normed__vector(X22)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X21,X20,X22),c_HOL_Oplus__class_Oplus(X19,X18,X22),X22),X22),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X21,X19,X22),X22),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X20,X18,X22),X22),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_917]) ).

fof(c_0_1833,plain,
    ! [X31,X32,X33,X34,X35,X36] :
      ( ~ class_RealVector_Oreal__field(X36)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X35,X34,X36),c_HOL_Otimes__class_Otimes(X33,X32,X36),X36),X31,X36) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X35,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X34,X32,X36),X31,X36),X36),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X35,X33,X36),X31,X36),X32,X36),X36) ),
    inference(variable_rename,[status(thm)],[c_0_918]) ).

fof(c_0_1834,plain,
    ! [X31,X32,X33,X34] :
      ( ~ class_RealVector_Oreal__normed__field(X34)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X33,X34),c_HOL_Oinverse__class_Oinverse(X32,X34),X34),X31,X34) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X33,X34),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X33,X32,X34),X31,X34),X34),c_HOL_Oinverse__class_Oinverse(X32,X34),X34),X34)
      | X32 = c_HOL_Ozero__class_Ozero(X34)
      | X33 = c_HOL_Ozero__class_Ozero(X34) ),
    inference(variable_rename,[status(thm)],[c_0_919]) ).

fof(c_0_1835,plain,
    ! [X25,X26,X27,X28,X29,X30] :
      ( ~ class_Ring__and__Field_Opordered__ring(X30)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X29,X25,X30),X27,X30),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X28,X25,X30),X26,X30),X30)
      | ~ c_lessequals(X27,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X28,X29,X30),X25,X30),X26,X30),X30) ),
    inference(variable_rename,[status(thm)],[c_0_920]) ).

fof(c_0_1836,plain,
    ! [X25,X26,X27,X28,X29,X30] :
      ( ~ class_Ring__and__Field_Opordered__ring(X30)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X29,X25,X30),X27,X30),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X28,X25,X30),X26,X30),X30)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X29,X28,X30),X25,X30),X27,X30),X26,X30) ),
    inference(variable_rename,[status(thm)],[c_0_921]) ).

fof(c_0_1837,plain,
    ! [X25,X26,X27,X28,X29,X30] :
      ( ~ class_Ring__and__Field_Opordered__ring(X30)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X29,X25,X30),X27,X30),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X28,X25,X30),X26,X30),X30)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X29,X28,X30),X25,X30),X27,X30),X26,X30) ),
    inference(variable_rename,[status(thm)],[c_0_922]) ).

fof(c_0_1838,plain,
    ! [X25,X26,X27,X28,X29,X30] :
      ( ~ class_Ring__and__Field_Opordered__ring(X30)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X29,X25,X30),X27,X30),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X28,X25,X30),X26,X30),X30)
      | ~ c_HOL_Oord__class_Oless(X27,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X28,X29,X30),X25,X30),X26,X30),X30) ),
    inference(variable_rename,[status(thm)],[c_0_923]) ).

fof(c_0_1839,plain,
    ! [X25,X26,X27,X28,X29,X30] :
      ( ~ class_Ring__and__Field_Opordered__ring(X30)
      | c_lessequals(X27,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X28,X29,X30),X25,X30),X26,X30),X30)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X29,X25,X30),X27,X30),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X28,X25,X30),X26,X30),X30) ),
    inference(variable_rename,[status(thm)],[c_0_924]) ).

fof(c_0_1840,plain,
    ! [X25,X26,X27,X28,X29,X30] :
      ( ~ class_Ring__and__Field_Opordered__ring(X30)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X29,X28,X30),X25,X30),X27,X30),X26,X30)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X29,X25,X30),X27,X30),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X28,X25,X30),X26,X30),X30) ),
    inference(variable_rename,[status(thm)],[c_0_925]) ).

fof(c_0_1841,plain,
    ! [X25,X26,X27,X28,X29,X30] :
      ( ~ class_Ring__and__Field_Opordered__ring(X30)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X29,X28,X30),X25,X30),X27,X30),X26,X30)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X29,X25,X30),X27,X30),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X28,X25,X30),X26,X30),X30) ),
    inference(variable_rename,[status(thm)],[c_0_926]) ).

fof(c_0_1842,plain,
    ! [X25,X26,X27,X28,X29,X30] :
      ( ~ class_Ring__and__Field_Opordered__ring(X30)
      | c_HOL_Oord__class_Oless(X27,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X28,X29,X30),X25,X30),X26,X30),X30)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X29,X25,X30),X27,X30),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X28,X25,X30),X26,X30),X30) ),
    inference(variable_rename,[status(thm)],[c_0_927]) ).

fof(c_0_1843,plain,
    ! [X41,X42,X43,X44,X45,X46] :
      ( ~ class_Ring__and__Field_Odvd(X46)
      | ~ class_Ring__and__Field_Ocomm__ring(X46)
      | c_Ring__and__Field_Odvd__class_Odvd(X44,c_HOL_Oplus__class_Oplus(X41,X42,X46),X46)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X44,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X41,c_HOL_Otimes__class_Otimes(X43,X45,X46),X46),X42,X46),X46)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X44,X45,X46) ),
    inference(variable_rename,[status(thm)],[c_0_928]) ).

fof(c_0_1844,plain,
    ! [X41,X42,X43,X44,X45,X46] :
      ( ~ class_Ring__and__Field_Odvd(X46)
      | ~ class_Ring__and__Field_Ocomm__ring(X46)
      | c_Ring__and__Field_Odvd__class_Odvd(X44,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X41,c_HOL_Otimes__class_Otimes(X43,X45,X46),X46),X42,X46),X46)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X44,c_HOL_Oplus__class_Oplus(X41,X42,X46),X46)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X44,X45,X46) ),
    inference(variable_rename,[status(thm)],[c_0_929]) ).

fof(c_0_1845,plain,
    ! [X5] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),c_HOL_Ozero__class_Ozero(X5),X5),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),c_HOL_Ozero__class_Ozero(X5),X5),X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_930]) ).

fof(c_0_1846,plain,
    ! [X25,X26,X27,X28,X29] :
      ( ~ class_Ring__and__Field_Oring(X29)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X28,X25,X29),X26,X29) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X27,X25,X29),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X28,X27,X29),X25,X29),X26,X29),X29) ),
    inference(variable_rename,[status(thm)],[c_0_931]) ).

fof(c_0_1847,plain,
    ! [X25,X26,X27,X28,X29] :
      ( ~ class_Ring__and__Field_Oring(X29)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X28,X25,X29),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X27,X28,X29),X25,X29),X26,X29),X29) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X27,X25,X29),X26,X29) ),
    inference(variable_rename,[status(thm)],[c_0_932]) ).

fof(c_0_1848,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Odivision__ring(X7)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X6,X7),c_HOL_Oinverse__class_Oinverse(X5,X7),X7) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X6,X7),c_HOL_Ominus__class_Ominus(X6,X5,X7),X7),c_HOL_Oinverse__class_Oinverse(X5,X7),X7),X7)
      | X5 = c_HOL_Ozero__class_Ozero(X7)
      | X6 = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_933]) ).

fof(c_0_1849,plain,
    ! [X11,X12,X13,X14,X15] :
      ( ~ class_Ring__and__Field_Ofield(X15)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X13,X12,X15),c_HOL_Oinverse__class_Odivide(X14,X11,X15),X15) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X13,X11,X15),c_HOL_Otimes__class_Otimes(X14,X12,X15),X15),c_HOL_Otimes__class_Otimes(X12,X11,X15),X15)
      | X11 = c_HOL_Ozero__class_Ozero(X15)
      | X12 = c_HOL_Ozero__class_Ozero(X15) ),
    inference(variable_rename,[status(thm)],[c_0_934]) ).

fof(c_0_1850,plain,
    ! [X11,X12,X13,X14,X15] :
      ( ~ class_Ring__and__Field_Ofield(X15)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X13,X12,X15),c_HOL_Oinverse__class_Odivide(X14,X11,X15),X15) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X13,X11,X15),c_HOL_Otimes__class_Otimes(X14,X12,X15),X15),c_HOL_Otimes__class_Otimes(X12,X11,X15),X15)
      | X11 = c_HOL_Ozero__class_Ozero(X15)
      | X12 = c_HOL_Ozero__class_Ozero(X15) ),
    inference(variable_rename,[status(thm)],[c_0_935]) ).

fof(c_0_1851,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X10)
      | X8 = c_HOL_Ozero__class_Ozero(X10)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X9,X10),c_HOL_Otimes__class_Otimes(X8,X8,X10),X10),c_HOL_Ozero__class_Ozero(X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_936]) ).

fof(c_0_1852,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X10)
      | X9 = c_HOL_Ozero__class_Ozero(X10)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X9,X10),c_HOL_Otimes__class_Otimes(X8,X8,X10),X10),c_HOL_Ozero__class_Ozero(X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_937]) ).

fof(c_0_1853,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X10)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X9,X10),c_HOL_Otimes__class_Otimes(X8,X8,X10),X10),c_HOL_Ozero__class_Ozero(X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_938]) ).

fof(c_0_1854,plain,
    ! [X25,X26,X27,X28,X29,X30] :
      ( ~ class_Ring__and__Field_Oring(X30)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X29,X25,X30),X27,X30) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X28,X25,X30),X26,X30)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X29,X28,X30),X25,X30),X27,X30) = X26 ),
    inference(variable_rename,[status(thm)],[c_0_939]) ).

fof(c_0_1855,plain,
    ! [X25,X26,X27,X28,X29,X30] :
      ( ~ class_Ring__and__Field_Oring(X30)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X29,X25,X30),X27,X30) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X28,X25,X30),X26,X30)
      | X27 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X28,X29,X30),X25,X30),X26,X30) ),
    inference(variable_rename,[status(thm)],[c_0_940]) ).

fof(c_0_1856,plain,
    ! [X25,X26,X27,X28,X29] :
      ( ~ class_Ring__and__Field_Osemiring(X29)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X28,X25,X29),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X27,X25,X29),X26,X29),X29) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X28,X27,X29),X25,X29),X26,X29) ),
    inference(variable_rename,[status(thm)],[c_0_941]) ).

fof(c_0_1857,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_Ring__and__Field_Oidom(X22)
      | ~ class_Int_Onumber__ring(X22)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X21,X19,X22),c_HOL_Otimes__class_Otimes(X20,X18,X22),X22) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X21,X18,X22),c_HOL_Otimes__class_Otimes(X20,X19,X22),X22)
      | X19 = X18
      | X21 = X20 ),
    inference(variable_rename,[status(thm)],[c_0_942]) ).

fof(c_0_1858,plain,
    ! [X11,X12,X13,X14,X15] :
      ( ~ class_Ring__and__Field_Oidom(X15)
      | ~ class_Int_Onumber__ring(X15)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X14,X12,X15),c_HOL_Otimes__class_Otimes(X13,X11,X15),X15) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X14,X11,X15),c_HOL_Otimes__class_Otimes(X13,X12,X15),X15)
      | X12 = X11
      | X14 = X13 ),
    inference(variable_rename,[status(thm)],[c_0_943]) ).

fof(c_0_1859,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Ring__and__Field_Oordered__idom(X15)
      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X12,X14,X15),X15),X13,X15)
      | ~ c_HOL_Oord__class_Oless(X12,c_HOL_Oplus__class_Oplus(X14,X13,X15),X15)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X14,X13,X15),X12,X15) ),
    inference(variable_rename,[status(thm)],[c_0_944]) ).

fof(c_0_1860,plain,
    ! [X8] :
      ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xs1__1(v_p,v_r,X8),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X8,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_945]) ).

fof(c_0_1861,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X18,X17,X20),X19,X20)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),X18,X20)
      | ~ c_HOL_Oord__class_Oless(X18,c_HOL_Otimes__class_Otimes(X19,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_946]) ).

fof(c_0_1862,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X18,X17,X20),X19,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X19,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),X18,X20)
      | ~ c_HOL_Oord__class_Oless(X18,c_HOL_Otimes__class_Otimes(X19,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_947]) ).

fof(c_0_1863,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_HOL_Oord__class_Oless(X19,c_HOL_Oinverse__class_Odivide(X18,X17,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_HOL_Oord__class_Oless(X18,c_HOL_Otimes__class_Otimes(X19,X17,X20),X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_948]) ).

fof(c_0_1864,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_HOL_Oord__class_Oless(X19,c_HOL_Oinverse__class_Odivide(X18,X17,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X19,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_HOL_Oord__class_Oless(X18,c_HOL_Otimes__class_Otimes(X19,X17,X20),X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_949]) ).

fof(c_0_1865,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_lessequals(X19,c_HOL_Oinverse__class_Odivide(X18,X17,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(X18,c_HOL_Otimes__class_Otimes(X19,X17,X20),X20)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X19,X17,X20),X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_950]) ).

fof(c_0_1866,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X18,X17,X20),X19,X20)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X19,X17,X20),X18,X20)
      | ~ c_lessequals(X18,c_HOL_Otimes__class_Otimes(X19,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_951]) ).

fof(c_0_1867,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_lessequals(X19,c_HOL_Oinverse__class_Odivide(X18,X17,X20),X20)
      | ~ c_lessequals(X19,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(X18,c_HOL_Otimes__class_Otimes(X19,X17,X20),X20)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X19,X17,X20),X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_952]) ).

fof(c_0_1868,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X18,X17,X20),X19,X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X19,X17,X20),X18,X20)
      | ~ c_lessequals(X18,c_HOL_Otimes__class_Otimes(X19,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_953]) ).

fof(c_0_1869,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Divides_Oring__div(X20)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X19,X18,X20),X17,X20) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X19,X17,X20),c_Divides_Odiv__class_Omod(X18,X17,X20),X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_954]) ).

fof(c_0_1870,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Divides_Osemiring__div(X20)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X19,X18,X20),X17,X20) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X19,X17,X20),c_Divides_Odiv__class_Omod(X18,X17,X20),X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_955]) ).

fof(c_0_1871,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Divides_Osemiring__div(X20)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X19,X18,X20),X17,X20) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X19,X17,X20),c_Divides_Odiv__class_Omod(X18,X17,X20),X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_956]) ).

fof(c_0_1872,plain,
    ! [X11] :
      ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__unknown__thm__rcM__1(v_p,v_r),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X11,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X11,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_957]) ).

fof(c_0_1873,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X7)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7),X7),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X6,X5,X7),X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_958]) ).

fof(c_0_1874,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X6,X5,X7),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X7),c_HOL_Oone__class_Oone(X7),X7),X7),X5,X7)
      | ~ c_HOL_Oord__class_Oless(X6,X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_959]) ).

fof(c_0_1875,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | c_HOL_Oord__class_Oless(X6,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X6,X5,X7),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X7),c_HOL_Oone__class_Oone(X7),X7),X7),X7)
      | ~ c_HOL_Oord__class_Oless(X6,X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_960]) ).

fof(c_0_1876,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X17,X19,X20),c_HOL_Oinverse__class_Odivide(X17,X18,X20),X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),c_HOL_Otimes__class_Otimes(X19,X18,X20),X20)
      | ~ c_lessequals(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_961]) ).

fof(c_0_1877,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X17,X19,X20),c_HOL_Oinverse__class_Odivide(X17,X18,X20),X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),c_HOL_Otimes__class_Otimes(X19,X18,X20),X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_lessequals(X18,X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_962]) ).

fof(c_0_1878,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X17,X19,X20),c_HOL_Oinverse__class_Odivide(X17,X18,X20),X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),c_HOL_Otimes__class_Otimes(X19,X18,X20),X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_HOL_Oord__class_Oless(X18,X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_963]) ).

fof(c_0_1879,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X17,X19,X20),c_HOL_Oinverse__class_Odivide(X17,X18,X20),X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),c_HOL_Otimes__class_Otimes(X19,X18,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_964]) ).

fof(c_0_1880,plain,
    ! [X5] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
      | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),c_HOL_Ozero__class_Ozero(X5),X5),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),c_HOL_Ozero__class_Ozero(X5),X5),X5),c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_965]) ).

fof(c_0_1881,plain,
    ! [X24,X25,X26,X27,X28,X29] :
      ( ~ class_Divides_Osemiring__div(X29)
      | c_Divides_Odiv__class_Omod(X26,X24,X29) != c_Divides_Odiv__class_Omod(X25,X24,X29)
      | c_Divides_Odiv__class_Omod(X28,X24,X29) != c_Divides_Odiv__class_Omod(X27,X24,X29)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X28,X26,X29),X24,X29) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X27,X25,X29),X24,X29) ),
    inference(variable_rename,[status(thm)],[c_0_966]) ).

fof(c_0_1882,plain,
    ! [X24,X25,X26,X27,X28,X29] :
      ( ~ class_Divides_Osemiring__div(X29)
      | c_Divides_Odiv__class_Omod(X26,X24,X29) != c_Divides_Odiv__class_Omod(X25,X24,X29)
      | c_Divides_Odiv__class_Omod(X28,X24,X29) != c_Divides_Odiv__class_Omod(X27,X24,X29)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X28,X26,X29),X24,X29) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X27,X25,X29),X24,X29) ),
    inference(variable_rename,[status(thm)],[c_0_967]) ).

fof(c_0_1883,plain,
    ! [X24,X25,X26,X27,X28,X29] :
      ( ~ class_Divides_Oring__div(X29)
      | c_Divides_Odiv__class_Omod(X26,X24,X29) != c_Divides_Odiv__class_Omod(X25,X24,X29)
      | c_Divides_Odiv__class_Omod(X28,X24,X29) != c_Divides_Odiv__class_Omod(X27,X24,X29)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X28,X26,X29),X24,X29) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X27,X25,X29),X24,X29) ),
    inference(variable_rename,[status(thm)],[c_0_968]) ).

fof(c_0_1884,plain,
    ! [X37,X38,X39,X40,X41] :
      ( ~ class_RealVector_Oreal__normed__vector(X41)
      | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X38,X37,X41),X41),c_HOL_Oplus__class_Oplus(X40,X39,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X37,X41),X39,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X38,X41),X40,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_969]) ).

fof(c_0_1885,plain,
    ! [X36,X37,X38,X39,X40] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X40)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X39,X38,X40),c_HOL_Otimes__class_Otimes(X37,X36,X40),X40) = c_HOL_Otimes__class_Otimes(X37,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X39,X38,X40),X36,X40),X40) ),
    inference(variable_rename,[status(thm)],[c_0_970]) ).

fof(c_0_1886,plain,
    ! [X36,X37,X38,X39,X40] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X40)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X39,X38,X40),c_HOL_Otimes__class_Otimes(X37,X36,X40),X40) = c_HOL_Otimes__class_Otimes(X39,c_HOL_Otimes__class_Otimes(X38,c_HOL_Otimes__class_Otimes(X37,X36,X40),X40),X40) ),
    inference(variable_rename,[status(thm)],[c_0_971]) ).

fof(c_0_1887,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X22)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X21,X19,X22),c_HOL_Otimes__class_Otimes(X20,X18,X22),X22)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X22),X19,X22)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X22),X21,X22)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X22)
      | ~ c_HOL_Oord__class_Oless(X21,X20,X22) ),
    inference(variable_rename,[status(thm)],[c_0_972]) ).

fof(c_0_1888,plain,
    ! [X11,X12,X13,X14,X15] :
      ( ~ class_Ring__and__Field_Oordered__field(X15)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X13,X11,X15),c_HOL_Oinverse__class_Odivide(X12,X14,X15),X15)
      | ~ c_lessequals(X14,X11,X15)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X15),X14,X15)
      | ~ c_HOL_Oord__class_Oless(X13,X12,X15)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X15),X13,X15) ),
    inference(variable_rename,[status(thm)],[c_0_973]) ).

fof(c_0_1889,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X22)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X21,X19,X22),c_HOL_Otimes__class_Otimes(X20,X18,X22),X22)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X22),X19,X22)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X22),X20,X22)
      | ~ c_lessequals(X19,X18,X22)
      | ~ c_lessequals(X21,X20,X22) ),
    inference(variable_rename,[status(thm)],[c_0_974]) ).

fof(c_0_1890,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X22)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X21,X19,X22),c_HOL_Otimes__class_Otimes(X20,X18,X22),X22)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X22),X19,X22)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X22),X21,X22)
      | ~ c_lessequals(X19,X18,X22)
      | ~ c_lessequals(X21,X20,X22) ),
    inference(variable_rename,[status(thm)],[c_0_975]) ).

fof(c_0_1891,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X22)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X21,X19,X22),c_HOL_Otimes__class_Otimes(X20,X18,X22),X22)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X22),X19,X22)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X22),X20,X22)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X22)
      | ~ c_HOL_Oord__class_Oless(X21,X20,X22) ),
    inference(variable_rename,[status(thm)],[c_0_976]) ).

fof(c_0_1892,plain,
    ! [X11,X12,X13,X14,X15] :
      ( ~ class_Ring__and__Field_Oordered__field(X15)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X13,X11,X15),c_HOL_Oinverse__class_Odivide(X12,X14,X15),X15)
      | ~ c_HOL_Oord__class_Oless(X14,X11,X15)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X15),X14,X15)
      | ~ c_lessequals(X13,X12,X15)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X15),X13,X15) ),
    inference(variable_rename,[status(thm)],[c_0_977]) ).

fof(c_0_1893,plain,
    ! [X11,X12,X13,X14,X15] :
      ( ~ class_Ring__and__Field_Oordered__field(X15)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X13,X11,X15),c_HOL_Oinverse__class_Odivide(X12,X14,X15),X15)
      | ~ c_lessequals(X14,X11,X15)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X15),X14,X15)
      | ~ c_lessequals(X13,X12,X15)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X15),X13,X15) ),
    inference(variable_rename,[status(thm)],[c_0_978]) ).

fof(c_0_1894,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X22)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X21,X19,X22),c_HOL_Otimes__class_Otimes(X20,X18,X22),X22)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X22),X19,X22)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X22),X21,X22)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X22)
      | ~ c_lessequals(X21,X20,X22) ),
    inference(variable_rename,[status(thm)],[c_0_979]) ).

fof(c_0_1895,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X22)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X21,X19,X22),c_HOL_Otimes__class_Otimes(X20,X18,X22),X22)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X22),X19,X22)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X22),X21,X22)
      | ~ c_lessequals(X19,X18,X22)
      | ~ c_HOL_Oord__class_Oless(X21,X20,X22) ),
    inference(variable_rename,[status(thm)],[c_0_980]) ).

fof(c_0_1896,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_Ring__and__Field_Oordered__idom(X22)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X21,X22),c_HOL_Oabs__class_Oabs(X20,X22),X22),c_HOL_Otimes__class_Otimes(X19,X18,X22),X22)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X20,X22),X18,X22)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X21,X22),X19,X22) ),
    inference(variable_rename,[status(thm)],[c_0_981]) ).

fof(c_0_1897,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Ring__and__Field_Oordered__idom(X15)
      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X14,X13,X15),X12,X15)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X12,X14,X15),X15),X13,X15) ),
    inference(variable_rename,[status(thm)],[c_0_982]) ).

fof(c_0_1898,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Ring__and__Field_Oordered__idom(X15)
      | c_HOL_Oord__class_Oless(X12,c_HOL_Oplus__class_Oplus(X14,X13,X15),X15)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X12,X14,X15),X15),X13,X15) ),
    inference(variable_rename,[status(thm)],[c_0_983]) ).

fof(c_0_1899,plain,
    ! [X8,X9] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X9,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X8,tc_RealDef_Oreal)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X9,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_984])])]) ).

fof(c_0_1900,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X10)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X10),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X9,X10),c_HOL_Otimes__class_Otimes(X8,X8,X10),X10),X10)
      | X8 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_985]) ).

fof(c_0_1901,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X10)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X10),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X9,X10),c_HOL_Otimes__class_Otimes(X8,X8,X10),X10),X10)
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_986]) ).

fof(c_0_1902,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X10)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X10),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X9,X10),c_HOL_Otimes__class_Otimes(X8,X8,X10),X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_987]) ).

fof(c_0_1903,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X18,X17,X20),X19,X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X19,X17,X20),X18,X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_988]) ).

fof(c_0_1904,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X18,X17,X20),X19,X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20)
      | c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(X18,c_HOL_Otimes__class_Otimes(X19,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_989]) ).

fof(c_0_1905,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_lessequals(X19,c_HOL_Oinverse__class_Odivide(X18,X17,X20),X20)
      | ~ c_lessequals(X19,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(X18,c_HOL_Otimes__class_Otimes(X19,X17,X20),X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_990]) ).

fof(c_0_1906,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_lessequals(X19,c_HOL_Oinverse__class_Odivide(X18,X17,X20),X20)
      | ~ c_lessequals(X19,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X19,X17,X20),X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_991]) ).

fof(c_0_1907,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),X18,X20)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X18,X17,X20),X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_992]) ).

fof(c_0_1908,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X18,X17,X20),X19,X20)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),X18,X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_993]) ).

fof(c_0_1909,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X18,X17,X20),X19,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X19,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),X18,X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_994]) ).

fof(c_0_1910,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X18,X17,X20),X19,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X19,X20)
      | c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_HOL_Oord__class_Oless(X18,c_HOL_Otimes__class_Otimes(X19,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_995]) ).

fof(c_0_1911,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_HOL_Oord__class_Oless(X18,c_HOL_Otimes__class_Otimes(X19,X17,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_HOL_Oord__class_Oless(X19,c_HOL_Oinverse__class_Odivide(X18,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_996]) ).

fof(c_0_1912,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_HOL_Oord__class_Oless(X19,c_HOL_Oinverse__class_Odivide(X18,X17,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_HOL_Oord__class_Oless(X18,c_HOL_Otimes__class_Otimes(X19,X17,X20),X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_997]) ).

fof(c_0_1913,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_HOL_Oord__class_Oless(X19,c_HOL_Oinverse__class_Odivide(X18,X17,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X19,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_HOL_Oord__class_Oless(X18,c_HOL_Otimes__class_Otimes(X19,X17,X20),X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_998]) ).

fof(c_0_1914,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_HOL_Oord__class_Oless(X19,c_HOL_Oinverse__class_Odivide(X18,X17,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X19,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_999]) ).

fof(c_0_1915,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X19,X17,X20),X18,X20)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X18,X17,X20),X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1000]) ).

fof(c_0_1916,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X18,X17,X20),X19,X20)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X19,X17,X20),X18,X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1001]) ).

fof(c_0_1917,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_lessequals(X18,c_HOL_Otimes__class_Otimes(X19,X17,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_lessequals(X19,c_HOL_Oinverse__class_Odivide(X18,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1002]) ).

fof(c_0_1918,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_lessequals(X19,c_HOL_Oinverse__class_Odivide(X18,X17,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(X18,c_HOL_Otimes__class_Otimes(X19,X17,X20),X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1003]) ).

fof(c_0_1919,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X20)
      | c_HOL_Oord__class_Oless(X19,X18,X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1004]) ).

fof(c_0_1920,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X20)
      | c_HOL_Oord__class_Oless(X19,X18,X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1005]) ).

fof(c_0_1921,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__semiring(X20)
      | c_HOL_Oord__class_Oless(X19,X18,X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1006]) ).

fof(c_0_1922,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__semiring(X20)
      | c_HOL_Oord__class_Oless(X19,X18,X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1007]) ).

fof(c_0_1923,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X20)
      | c_lessequals(X19,X18,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1008]) ).

fof(c_0_1924,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X20)
      | c_lessequals(X19,X18,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1009]) ).

fof(c_0_1925,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_lessequals(X19,X18,X20)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1010]) ).

fof(c_0_1926,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_lessequals(X18,X19,X20)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1011]) ).

fof(c_0_1927,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_HOL_Oord__class_Oless(X19,X18,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1012]) ).

fof(c_0_1928,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_HOL_Oord__class_Oless(X18,X19,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1013]) ).

fof(c_0_1929,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Ofield(X7)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X6,X7),c_HOL_Oinverse__class_Oinverse(X5,X7),X7) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X6,X5,X7),c_HOL_Oinverse__class_Oinverse(X6,X7),X7),c_HOL_Oinverse__class_Oinverse(X5,X7),X7)
      | X5 = c_HOL_Ozero__class_Ozero(X7)
      | X6 = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1014]) ).

fof(c_0_1930,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Odivision__ring(X7)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X6,X7),c_HOL_Oinverse__class_Oinverse(X5,X7),X7) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X6,X7),c_HOL_Oplus__class_Oplus(X6,X5,X7),X7),c_HOL_Oinverse__class_Oinverse(X5,X7),X7)
      | X5 = c_HOL_Ozero__class_Ozero(X7)
      | X6 = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1015]) ).

fof(c_0_1931,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Odivision__ring(X7)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X6,X7),c_HOL_Oinverse__class_Oinverse(X5,X7),X7) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X6,X7),c_HOL_Ominus__class_Ominus(X5,X6,X7),X7),c_HOL_Oinverse__class_Oinverse(X5,X7),X7)
      | X5 = c_HOL_Ozero__class_Ozero(X7)
      | X6 = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1016]) ).

fof(c_0_1932,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_Ring__and__Field_Ofield(X11)
      | ~ class_Ring__and__Field_Odivision__by__zero(X11)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X10,X9,X11),X8,X11) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X10,c_HOL_Otimes__class_Otimes(X8,X9,X11),X11),X9,X11)
      | X9 = c_HOL_Ozero__class_Ozero(X11) ),
    inference(variable_rename,[status(thm)],[c_0_1017]) ).

fof(c_0_1933,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_Ring__and__Field_Ofield(X11)
      | ~ class_Ring__and__Field_Odivision__by__zero(X11)
      | c_HOL_Oplus__class_Oplus(X8,c_HOL_Oinverse__class_Odivide(X10,X9,X11),X11) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X10,c_HOL_Otimes__class_Otimes(X8,X9,X11),X11),X9,X11)
      | X9 = c_HOL_Ozero__class_Ozero(X11) ),
    inference(variable_rename,[status(thm)],[c_0_1018]) ).

fof(c_0_1934,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1019]) ).

fof(c_0_1935,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1020]) ).

fof(c_0_1936,plain,
    ! [X11,X12,X13,X14,X15] :
      ( ~ class_Ring__and__Field_Ofield(X15)
      | ~ class_Ring__and__Field_Odivision__by__zero(X15)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X13,X12,X15),c_HOL_Oinverse__class_Odivide(X11,X14,X15),X15) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X13,X11,X15),c_HOL_Otimes__class_Otimes(X12,X14,X15),X15) ),
    inference(variable_rename,[status(thm)],[c_0_1021]) ).

fof(c_0_1937,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_Ring__and__Field_Oidom(X11)
      | ~ class_Int_Onumber__ring(X11)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X9,X11),c_HOL_Otimes__class_Otimes(X10,X8,X11),X11) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X8,X11),c_HOL_Otimes__class_Otimes(X10,X9,X11),X11) ),
    inference(variable_rename,[status(thm)],[c_0_1022]) ).

fof(c_0_1938,plain,
    ! [X18,X19,X20,X21] :
      ( ~ class_Ring__and__Field_Oidom(X21)
      | ~ class_Int_Onumber__ring(X21)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X18,X20,X21),c_HOL_Otimes__class_Otimes(X18,X19,X21),X21) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X18,X19,X21),c_HOL_Otimes__class_Otimes(X18,X20,X21),X21) ),
    inference(variable_rename,[status(thm)],[c_0_1023]) ).

fof(c_0_1939,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_HOL_Oord__class_Oless(X18,X19,X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1024]) ).

fof(c_0_1940,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_HOL_Oord__class_Oless(X19,X18,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1025]) ).

fof(c_0_1941,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_HOL_Oord__class_Oless(X18,X19,X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1026]) ).

fof(c_0_1942,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_HOL_Oord__class_Oless(X19,X18,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1027]) ).

fof(c_0_1943,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Divides_Osemiring__div(X20)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X19,X17,X20),X18,X20),X17,X20) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X19,X18,X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1028]) ).

fof(c_0_1944,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Divides_Osemiring__div(X20)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X19,c_Divides_Odiv__class_Omod(X18,X17,X20),X20),X17,X20) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X19,X18,X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1029]) ).

fof(c_0_1945,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X22)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X21,X20,X22),c_HOL_Oplus__class_Oplus(X19,X18,X22),X22) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X21,X19,X22),c_HOL_Oplus__class_Oplus(X20,X18,X22),X22) ),
    inference(variable_rename,[status(thm)],[c_0_1030]) ).

fof(c_0_1946,plain,
    ! [X36,X37,X38,X39,X40] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X40)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X39,X38,X40),c_HOL_Otimes__class_Otimes(X37,X36,X40),X40) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X39,X37,X40),c_HOL_Otimes__class_Otimes(X38,X36,X40),X40) ),
    inference(variable_rename,[status(thm)],[c_0_1031]) ).

fof(c_0_1947,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Divides_Oring__div(X20)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X19,X18,X20),X17,X20) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X19,X17,X20),X18,X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1032]) ).

fof(c_0_1948,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Divides_Oring__div(X20)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X19,X18,X20),X17,X20) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X19,c_Divides_Odiv__class_Omod(X18,X17,X20),X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1033]) ).

fof(c_0_1949,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Divides_Osemiring__div(X20)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X19,X17,X20),X18,X20),X17,X20) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X19,X18,X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1034]) ).

fof(c_0_1950,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Divides_Osemiring__div(X20)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X19,X18,X20),X17,X20) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X19,c_Divides_Odiv__class_Omod(X18,X17,X20),X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1035]) ).

fof(c_0_1951,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Divides_Osemiring__div(X20)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X19,X18,X20),X17,X20) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X19,X17,X20),X18,X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1036]) ).

fof(c_0_1952,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_OrderedGroup_Oab__group__add(X22)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X21,X19,X22),c_HOL_Oplus__class_Oplus(X20,X18,X22),X22) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X21,X20,X22),c_HOL_Ominus__class_Ominus(X19,X18,X22),X22) ),
    inference(variable_rename,[status(thm)],[c_0_1037]) ).

fof(c_0_1953,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Divides_Osemiring__div(X20)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X19,X18,X20),X17,X20) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X19,c_Divides_Odiv__class_Omod(X18,X17,X20),X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1038]) ).

fof(c_0_1954,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Divides_Osemiring__div(X20)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X19,X18,X20),X17,X20) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X19,X17,X20),X18,X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1039]) ).

fof(c_0_1955,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_HOL_Oord__class_Oless(X18,X19,X20)
      | c_HOL_Oord__class_Oless(X19,X18,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1040]) ).

fof(c_0_1956,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_HOL_Oord__class_Oless(X18,X19,X20)
      | c_HOL_Oord__class_Oless(X19,X18,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1041]) ).

fof(c_0_1957,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_Ring__and__Field_Oidom(X22)
      | ~ class_Int_Onumber__ring(X22)
      | c_HOL_Oplus__class_Oplus(X18,c_HOL_Otimes__class_Otimes(X19,X21,X22),X22) != c_HOL_Oplus__class_Oplus(X18,c_HOL_Otimes__class_Otimes(X19,X20,X22),X22)
      | X21 = X20
      | X19 = c_HOL_Ozero__class_Ozero(X22) ),
    inference(variable_rename,[status(thm)],[c_0_1042]) ).

fof(c_0_1958,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_HOL_Oord__class_Oless(X19,c_HOL_Oinverse__class_Odivide(X18,X17,X20),X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1043]) ).

fof(c_0_1959,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),X18,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_HOL_Oord__class_Oless(X19,c_HOL_Oinverse__class_Odivide(X18,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1044]) ).

fof(c_0_1960,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X18,X17,X20),X19,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_HOL_Oord__class_Oless(X18,c_HOL_Otimes__class_Otimes(X19,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1045]) ).

fof(c_0_1961,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_HOL_Oord__class_Oless(X18,c_HOL_Otimes__class_Otimes(X19,X17,X20),X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X18,X17,X20),X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1046]) ).

fof(c_0_1962,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_lessequals(X19,c_HOL_Oinverse__class_Odivide(X18,X17,X20),X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X19,X17,X20),X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1047]) ).

fof(c_0_1963,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X19,X17,X20),X18,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_lessequals(X19,c_HOL_Oinverse__class_Odivide(X18,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1048]) ).

fof(c_0_1964,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X18,X17,X20),X19,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_lessequals(X18,c_HOL_Otimes__class_Otimes(X19,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1049]) ).

fof(c_0_1965,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_lessequals(X18,c_HOL_Otimes__class_Otimes(X19,X17,X20),X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X18,X17,X20),X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1050]) ).

fof(c_0_1966,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_Ring__and__Field_Oordered__field(X11)
      | c_HOL_Oord__class_Oless(X8,c_HOL_Oinverse__class_Odivide(X10,X9,X11),X11)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X9,X11),X10,X11)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X11),X9,X11) ),
    inference(variable_rename,[status(thm)],[c_0_1051]) ).

fof(c_0_1967,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_Ring__and__Field_Oordered__field(X11)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X10,X9,X11),X8,X11)
      | ~ c_HOL_Oord__class_Oless(X10,c_HOL_Otimes__class_Otimes(X8,X9,X11),X11)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X11),X9,X11) ),
    inference(variable_rename,[status(thm)],[c_0_1052]) ).

fof(c_0_1968,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_Ring__and__Field_Oordered__field(X11)
      | c_lessequals(X8,c_HOL_Oinverse__class_Odivide(X10,X9,X11),X11)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X8,X9,X11),X10,X11)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X11),X9,X11) ),
    inference(variable_rename,[status(thm)],[c_0_1053]) ).

fof(c_0_1969,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_Ring__and__Field_Oordered__field(X11)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X10,X9,X11),X8,X11)
      | ~ c_lessequals(X10,c_HOL_Otimes__class_Otimes(X8,X9,X11),X11)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X11),X9,X11) ),
    inference(variable_rename,[status(thm)],[c_0_1054]) ).

fof(c_0_1970,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X7)
      | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X6,X5,X7),X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1055]) ).

fof(c_0_1971,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Olordered__ring(X7)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X6,X5,X7),X7),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1056]) ).

fof(c_0_1972,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X7)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X6,X5,X7),X7),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1057]) ).

fof(c_0_1973,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X7)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X6,X5,X7),X7),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1058]) ).

fof(c_0_1974,plain,
    ! [X8] :
      ( c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xs__2(v_p,v_r,X8),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(v_sko__local__Xs__1(v_p,v_r,X8),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X8,v_s____,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1059]) ).

fof(c_0_1975,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X22)
      | c_lessequals(X21,c_HOL_Oplus__class_Oplus(X20,X18,X22),X22)
      | ~ c_lessequals(X19,X18,X22)
      | ~ c_lessequals(X21,c_HOL_Oplus__class_Oplus(X20,X19,X22),X22) ),
    inference(variable_rename,[status(thm)],[c_0_1060]) ).

fof(c_0_1976,plain,
    ! [X5,X6,X7] :
      ( ~ class_RealVector_Oreal__normed__vector(X7)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X6,X5,X7),X7),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X6,X7),c_RealVector_Onorm__class_Onorm(X5,X7),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1061]) ).

fof(c_0_1977,plain,
    ! [X8,X9,X10] :
      ( ~ class_RealVector_Oreal__normed__vector(X10)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X9,X8,X10),X10),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X9,X10),c_RealVector_Onorm__class_Onorm(X8,X10),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1062]) ).

fof(c_0_1978,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oidom(X20)
      | c_Ring__and__Field_Odvd__class_Odvd(X19,X18,X20)
      | X17 = c_HOL_Ozero__class_Ozero(X20)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1063]) ).

fof(c_0_1979,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oidom(X20)
      | c_Ring__and__Field_Odvd__class_Odvd(X19,X18,X20)
      | X17 = c_HOL_Ozero__class_Ozero(X20)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1064]) ).

fof(c_0_1980,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X20)
      | c_lessequals(X19,X18,X20)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X19,X17,X20),c_HOL_Oplus__class_Oplus(X18,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1065]) ).

fof(c_0_1981,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X20)
      | c_lessequals(X19,X18,X20)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X17,X19,X20),c_HOL_Oplus__class_Oplus(X17,X18,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1066]) ).

fof(c_0_1982,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X20)
      | c_HOL_Oord__class_Oless(X19,X18,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X17,X19,X20),c_HOL_Oplus__class_Oplus(X17,X18,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1067]) ).

fof(c_0_1983,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X20)
      | c_HOL_Oord__class_Oless(X19,X18,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X19,X17,X20),c_HOL_Oplus__class_Oplus(X18,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1068]) ).

fof(c_0_1984,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X20)
      | c_lessequals(X19,c_HOL_Oplus__class_Oplus(X17,c_HOL_Oabs__class_Oabs(X18,X20),X20),X20)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X19,X18,X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1069]) ).

fof(c_0_1985,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X19,X17,X20),c_HOL_Oinverse__class_Odivide(X18,X17,X20),X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_lessequals(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1070]) ).

fof(c_0_1986,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X18,X17,X20),c_HOL_Oinverse__class_Odivide(X19,X17,X20),X20)
      | ~ c_lessequals(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1071]) ).

fof(c_0_1987,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Opordered__ring(X20)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20)
      | ~ c_lessequals(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(X18,X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1072]) ).

fof(c_0_1988,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Opordered__ring(X20)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
      | ~ c_lessequals(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(X18,X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1073]) ).

fof(c_0_1989,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Omult__mono(X20)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_lessequals(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1074]) ).

fof(c_0_1990,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Omult__mono(X20)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_lessequals(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1075]) ).

fof(c_0_1991,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Omult__mono1(X20)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_lessequals(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1076]) ).

fof(c_0_1992,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X19,X17,X20),c_HOL_Oinverse__class_Odivide(X18,X17,X20),X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1077]) ).

fof(c_0_1993,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X19,X17,X20),c_HOL_Oinverse__class_Odivide(X18,X17,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_HOL_Oord__class_Oless(X18,X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1078]) ).

fof(c_0_1994,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
      | ~ c_lessequals(X19,X18,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1079]) ).

fof(c_0_1995,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
      | ~ c_lessequals(X18,X19,X20)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1080]) ).

fof(c_0_1996,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1081]) ).

fof(c_0_1997,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X18,X19,X20)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1082]) ).

fof(c_0_1998,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1083]) ).

fof(c_0_1999,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1084]) ).

fof(c_0_2000,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_HOL_Oord__class_Oless(X18,X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1085]) ).

fof(c_0_2001,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X18,X19,X20)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1086]) ).

fof(c_0_2002,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1087]) ).

fof(c_0_2003,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1088]) ).

fof(c_0_2004,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_HOL_Oord__class_Oless(X18,X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1089]) ).

fof(c_0_2005,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1090]) ).

fof(c_0_2006,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X18,X19,X20)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1091]) ).

fof(c_0_2007,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__idom(X10)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X8,X9,X10),X9,X10)
      | ~ c_lessequals(X8,c_HOL_Oone__class_Oone(X10),X10)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X10),X8,X10)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X10),X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1092]) ).

fof(c_0_2008,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__idom(X10)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X9,X8,X10),X9,X10)
      | ~ c_lessequals(X8,c_HOL_Oone__class_Oone(X10),X10)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X10),X8,X10)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X10),X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1093]) ).

fof(c_0_2009,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X19,X20)
      | c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X18,X17,X20),X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1094]) ).

fof(c_0_2010,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_HOL_Oord__class_Oless(X19,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_HOL_Oord__class_Oless(X19,c_HOL_Oinverse__class_Odivide(X18,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1095]) ).

fof(c_0_2011,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_lessequals(X19,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_lessequals(X19,c_HOL_Oinverse__class_Odivide(X18,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1096]) ).

fof(c_0_2012,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20)
      | c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X18,X17,X20),X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1097]) ).

fof(c_0_2013,plain,
    ! [X10,X11,X12] :
      ( c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X11,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X12,tc_RealDef_Oreal)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X11,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
      | c_HOL_Oord__class_Oless(X10,v_s____,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X10,X12,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1098]) ).

fof(c_0_2014,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X22)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X21,X19,X22),c_HOL_Oplus__class_Oplus(X20,X18,X22),X22)
      | ~ c_lessequals(X19,X18,X22)
      | ~ c_lessequals(X21,X20,X22) ),
    inference(variable_rename,[status(thm)],[c_0_1099]) ).

fof(c_0_2015,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X22)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X21,X19,X22),c_HOL_Oplus__class_Oplus(X20,X18,X22),X22)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X22)
      | ~ c_HOL_Oord__class_Oless(X21,X20,X22) ),
    inference(variable_rename,[status(thm)],[c_0_1100]) ).

fof(c_0_2016,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X22)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X21,X19,X22),c_HOL_Oplus__class_Oplus(X20,X18,X22),X22)
      | ~ c_lessequals(X19,X18,X22)
      | ~ c_HOL_Oord__class_Oless(X21,X20,X22) ),
    inference(variable_rename,[status(thm)],[c_0_1101]) ).

fof(c_0_2017,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X22)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X21,X19,X22),c_HOL_Oplus__class_Oplus(X20,X18,X22),X22)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X22)
      | ~ c_lessequals(X21,X20,X22) ),
    inference(variable_rename,[status(thm)],[c_0_1102]) ).

fof(c_0_2018,plain,
    ! [X18,X19,X20,X21,X22] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X22)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X21,X19,X22),c_HOL_Otimes__class_Otimes(X20,X18,X22),X22)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X19,X18,X22)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X21,X20,X22) ),
    inference(variable_rename,[status(thm)],[c_0_1103]) ).

fof(c_0_2019,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X10)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X9,X10),c_HOL_Otimes__class_Otimes(X8,X8,X10),X10) != c_HOL_Ozero__class_Ozero(X10)
      | X8 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_1104]) ).

fof(c_0_2020,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X10)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X9,X10),c_HOL_Otimes__class_Otimes(X8,X8,X10),X10) != c_HOL_Ozero__class_Ozero(X10)
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_1105]) ).

fof(c_0_2021,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X20)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X19,X18,X20),X17,X20) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1106]) ).

fof(c_0_2022,plain,
    ! [X10,X11,X12,X13] :
      ( ~ class_RealVector_Oreal__normed__algebra(X13)
      | c_HOL_Otimes__class_Otimes(X11,c_HOL_Oplus__class_Oplus(X12,X10,X13),X13) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X11,X12,X13),c_HOL_Otimes__class_Otimes(X11,X10,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_1107]) ).

fof(c_0_2023,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_RealVector_Oreal__normed__algebra(X27)
      | c_HOL_Otimes__class_Otimes(X26,c_HOL_Oplus__class_Oplus(X25,X24,X27),X27) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X26,X25,X27),c_HOL_Otimes__class_Otimes(X26,X24,X27),X27) ),
    inference(variable_rename,[status(thm)],[c_0_1108]) ).

fof(c_0_2024,plain,
    ! [X23,X24,X25,X26] :
      ( ~ class_RealVector_Oreal__normed__algebra(X26)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X25,X24,X26),X23,X26) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X25,X23,X26),c_HOL_Otimes__class_Otimes(X24,X23,X26),X26) ),
    inference(variable_rename,[status(thm)],[c_0_1109]) ).

fof(c_0_2025,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_RealVector_Oreal__normed__algebra(X17)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X16,X15,X17),X14,X17) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X16,X14,X17),c_HOL_Otimes__class_Otimes(X15,X14,X17),X17) ),
    inference(variable_rename,[status(thm)],[c_0_1110]) ).

fof(c_0_2026,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X11)
      | c_HOL_Otimes__class_Otimes(X10,c_HOL_Oplus__class_Oplus(X9,X8,X11),X11) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X9,X11),c_HOL_Otimes__class_Otimes(X10,X8,X11),X11) ),
    inference(variable_rename,[status(thm)],[c_0_1111]) ).

fof(c_0_2027,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X20)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X19,X18,X20),X17,X20) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1112]) ).

fof(c_0_2028,plain,
    ! [X22,X23,X24,X25] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X25)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X24,X22,X25),c_HOL_Otimes__class_Otimes(X23,X22,X25),X25) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X24,X23,X25),X22,X25) ),
    inference(variable_rename,[status(thm)],[c_0_1113]) ).

fof(c_0_2029,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_RealVector_Oreal__vector(X11)
      | c_RealVector_OscaleR__class_OscaleR(X10,c_HOL_Ominus__class_Ominus(X9,X8,X11),X11) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X10,X9,X11),c_RealVector_OscaleR__class_OscaleR(X10,X8,X11),X11) ),
    inference(variable_rename,[status(thm)],[c_0_1114]) ).

fof(c_0_2030,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_RealVector_Oreal__normed__vector(X27)
      | c_RealVector_OscaleR__class_OscaleR(X26,c_HOL_Ominus__class_Ominus(X25,X24,X27),X27) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X26,X25,X27),c_RealVector_OscaleR__class_OscaleR(X26,X24,X27),X27) ),
    inference(variable_rename,[status(thm)],[c_0_1115]) ).

fof(c_0_2031,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Ofield(X20)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X19,X18,X20),X17,X20) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X19,X17,X20),c_HOL_Oinverse__class_Odivide(X18,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1116]) ).

fof(c_0_2032,plain,
    ! [X23,X24,X25,X26] :
      ( ~ class_RealVector_Oreal__normed__field(X26)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X25,X24,X26),X23,X26) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X25,X23,X26),c_HOL_Oinverse__class_Odivide(X24,X23,X26),X26) ),
    inference(variable_rename,[status(thm)],[c_0_1117]) ).

fof(c_0_2033,plain,
    ! [X10,X11,X12,X13] :
      ( ~ class_RealVector_Oreal__normed__algebra(X13)
      | c_HOL_Otimes__class_Otimes(X11,c_HOL_Ominus__class_Ominus(X12,X10,X13),X13) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X11,X12,X13),c_HOL_Otimes__class_Otimes(X11,X10,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_1118]) ).

fof(c_0_2034,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_RealVector_Oreal__normed__algebra(X27)
      | c_HOL_Otimes__class_Otimes(X26,c_HOL_Ominus__class_Ominus(X25,X24,X27),X27) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X26,X25,X27),c_HOL_Otimes__class_Otimes(X26,X24,X27),X27) ),
    inference(variable_rename,[status(thm)],[c_0_1119]) ).

fof(c_0_2035,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_RealVector_Oreal__normed__algebra(X17)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X16,X15,X17),X14,X17) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X16,X14,X17),c_HOL_Otimes__class_Otimes(X15,X14,X17),X17) ),
    inference(variable_rename,[status(thm)],[c_0_1120]) ).

fof(c_0_2036,plain,
    ! [X23,X24,X25,X26] :
      ( ~ class_RealVector_Oreal__normed__algebra(X26)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X25,X24,X26),X23,X26) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X25,X23,X26),c_HOL_Otimes__class_Otimes(X24,X23,X26),X26) ),
    inference(variable_rename,[status(thm)],[c_0_1121]) ).

fof(c_0_2037,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_RealVector_Oreal__vector(X11)
      | c_RealVector_OscaleR__class_OscaleR(X10,c_HOL_Oplus__class_Oplus(X9,X8,X11),X11) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X10,X9,X11),c_RealVector_OscaleR__class_OscaleR(X10,X8,X11),X11) ),
    inference(variable_rename,[status(thm)],[c_0_1122]) ).

fof(c_0_2038,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_RealVector_Oreal__normed__vector(X27)
      | c_RealVector_OscaleR__class_OscaleR(X26,c_HOL_Oplus__class_Oplus(X25,X24,X27),X27) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X26,X25,X27),c_RealVector_OscaleR__class_OscaleR(X26,X24,X27),X27) ),
    inference(variable_rename,[status(thm)],[c_0_1123]) ).

fof(c_0_2039,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Divides_Osemiring__div(X20)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X19,c_HOL_Otimes__class_Otimes(X18,X17,X20),X20),X18,X20) = c_Divides_Odiv__class_Omod(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1124]) ).

fof(c_0_2040,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Divides_Osemiring__div(X20)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X19,c_HOL_Otimes__class_Otimes(X17,X18,X20),X20),X18,X20) = c_Divides_Odiv__class_Omod(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1125]) ).

fof(c_0_2041,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Ofield(X20)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X19,X18,X20),X17,X20) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X19,X17,X20),c_HOL_Oinverse__class_Odivide(X18,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1126]) ).

fof(c_0_2042,plain,
    ! [X23,X24,X25,X26] :
      ( ~ class_RealVector_Oreal__normed__field(X26)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X25,X24,X26),X23,X26) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X25,X23,X26),c_HOL_Oinverse__class_Odivide(X24,X23,X26),X26) ),
    inference(variable_rename,[status(thm)],[c_0_1127]) ).

fof(c_0_2043,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Divides_Osemiring__div(X20)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20) = c_HOL_Otimes__class_Otimes(X17,c_Divides_Odiv__class_Omod(X19,X18,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1128]) ).

fof(c_0_2044,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Divides_Osemiring__div(X20)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X19,X18,X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1129]) ).

fof(c_0_2045,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_RealVector_Oreal__vector(X9)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X8,X7,tc_RealDef_Oreal),X6,X9) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X8,X6,X9),c_RealVector_OscaleR__class_OscaleR(X7,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_1130]) ).

fof(c_0_2046,plain,
    ! [X10,X11,X12,X13] :
      ( ~ class_RealVector_Oreal__vector(X13)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X12,X10,tc_RealDef_Oreal),X11,X13) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X12,X11,X13),c_RealVector_OscaleR__class_OscaleR(X10,X11,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_1131]) ).

fof(c_0_2047,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_RealVector_Oreal__normed__vector(X17)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X16,X15,tc_RealDef_Oreal),X14,X17) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X16,X14,X17),c_RealVector_OscaleR__class_OscaleR(X15,X14,X17),X17) ),
    inference(variable_rename,[status(thm)],[c_0_1132]) ).

fof(c_0_2048,plain,
    ! [X12,X13,X14] :
      ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X14,X12,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X14,X13),tc_RealDef_Oreal)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X12,tc_Complex_Ocomplex),X13,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1133])])]) ).

fof(c_0_2049,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X5,X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1134]) ).

fof(c_0_2050,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1135]) ).

fof(c_0_2051,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X7)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1136]) ).

fof(c_0_2052,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X7)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1137]) ).

fof(c_0_2053,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X7)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1138]) ).

fof(c_0_2054,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X7)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1139]) ).

fof(c_0_2055,plain,
    ! [X7] :
      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X7,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X7,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1140]) ).

fof(c_0_2056,plain,
    ! [X22,X23,X24,X25] :
      ( ~ class_Divides_Osemiring__div(X25)
      | c_Ring__and__Field_Odvd__class_Odvd(X24,X23,X25)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X24,X22,X25)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X24,c_Divides_Odiv__class_Omod(X23,X22,X25),X25) ),
    inference(variable_rename,[status(thm)],[c_0_1141]) ).

fof(c_0_2057,plain,
    ! [X22,X23,X24,X25] :
      ( ~ class_Divides_Osemiring__div(X25)
      | c_Ring__and__Field_Odvd__class_Odvd(X24,X23,X25)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X24,c_Divides_Odiv__class_Omod(X23,X22,X25),X25)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X24,X22,X25) ),
    inference(variable_rename,[status(thm)],[c_0_1142]) ).

fof(c_0_2058,plain,
    ! [X32,X33,X34,X35,X36] :
      ( ~ class_OrderedGroup_Oab__group__add(X36)
      | c_HOL_Oplus__class_Oplus(X34,c_HOL_Oplus__class_Oplus(X33,X32,X36),X36) != c_HOL_Oplus__class_Oplus(X33,X35,X36)
      | c_HOL_Oplus__class_Oplus(X34,X32,X36) = X35 ),
    inference(variable_rename,[status(thm)],[c_0_1143]) ).

fof(c_0_2059,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1144]) ).

fof(c_0_2060,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(X7),X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1145]) ).

fof(c_0_2061,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1146]) ).

fof(c_0_2062,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(X7),X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1147]) ).

fof(c_0_2063,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1148]) ).

fof(c_0_2064,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1149]) ).

fof(c_0_2065,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1150]) ).

fof(c_0_2066,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1151]) ).

fof(c_0_2067,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1152]) ).

fof(c_0_2068,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1153]) ).

fof(c_0_2069,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1154]) ).

fof(c_0_2070,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1155]) ).

fof(c_0_2071,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1156]) ).

fof(c_0_2072,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(X7),X7)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1157]) ).

fof(c_0_2073,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1158]) ).

fof(c_0_2074,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(X7),X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1159]) ).

fof(c_0_2075,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X18,X17,X20),X19,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X19,X20)
      | c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1160]) ).

fof(c_0_2076,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_HOL_Oord__class_Oless(X19,c_HOL_Oinverse__class_Odivide(X18,X17,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X19,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1161]) ).

fof(c_0_2077,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_lessequals(X19,c_HOL_Oinverse__class_Odivide(X18,X17,X20),X20)
      | ~ c_lessequals(X19,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1162]) ).

fof(c_0_2078,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__field(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X18,X17,X20),X19,X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20)
      | c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1163]) ).

fof(c_0_2079,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1164]) ).

fof(c_0_2080,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
      | c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1165]) ).

fof(c_0_2081,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1166]) ).

fof(c_0_2082,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
      | c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7)
      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1167]) ).

fof(c_0_2083,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
      | c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1168]) ).

fof(c_0_2084,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1169]) ).

fof(c_0_2085,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
      | c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1170]) ).

fof(c_0_2086,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1171]) ).

fof(c_0_2087,plain,
    ! [X8] :
      ( c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xs1__1(v_p,v_r,X8),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1172]) ).

fof(c_0_2088,plain,
    ! [X7,X8] :
      ( c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X8,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X8,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
      | c_HOL_Oord__class_Oless(X7,v_sko__local__Xmth2__1(v_p,v_r),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1173]) ).

fof(c_0_2089,plain,
    ! [X5,X6,X7] :
      ( ~ class_Divides_Oring__div(X7)
      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X6,X5,X7),X7),X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1174]) ).

fof(c_0_2090,plain,
    ! [X39,X40] :
      ( c_HOL_Oord__class_Oless(X39,X40,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X40,c_HOL_Ouminus__class_Ouminus(X39,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1175]) ).

fof(c_0_2091,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1176]) ).

fof(c_0_2092,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1177]) ).

fof(c_0_2093,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1178]) ).

fof(c_0_2094,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1179]) ).

fof(c_0_2095,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1180]) ).

fof(c_0_2096,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1181]) ).

fof(c_0_2097,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1182]) ).

fof(c_0_2098,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1183]) ).

fof(c_0_2099,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Opordered__ring(X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X6,X5,X7),X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1184]) ).

fof(c_0_2100,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Opordered__ring(X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X6,X5,X7),X7)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1185]) ).

fof(c_0_2101,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Opordered__ring(X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X6,X5,X7),X7)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1186]) ).

fof(c_0_2102,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X6,X5,X7),X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1187]) ).

fof(c_0_2103,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X6,X5,X7),X7)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1188]) ).

fof(c_0_2104,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X6,X5,X7),X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1189]) ).

fof(c_0_2105,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__field(X10)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X9,X8,X10),c_HOL_Ozero__class_Ozero(X10),X10)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X10),X8,X10)
      | ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1190]) ).

fof(c_0_2106,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__field(X10)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(X9,X8,X10),c_HOL_Ozero__class_Ozero(X10),X10)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X10),X10)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X10),X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1191]) ).

fof(c_0_2107,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X5,X6,X7),c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1192]) ).

fof(c_0_2108,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1193]) ).

fof(c_0_2109,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1194]) ).

fof(c_0_2110,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__field(X10)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X10),c_HOL_Oinverse__class_Odivide(X9,X8,X10),X10)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X10),X10)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1195]) ).

fof(c_0_2111,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__field(X10)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X10),c_HOL_Oinverse__class_Odivide(X9,X8,X10),X10)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X10),X8,X10)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X10),X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1196]) ).

fof(c_0_2112,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__field(X10)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X10),c_HOL_Oinverse__class_Odivide(X9,X8,X10),X10)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X10),X8,X10)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X10),X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1197]) ).

fof(c_0_2113,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__field(X10)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X10),c_HOL_Oinverse__class_Odivide(X9,X8,X10),X10)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X10),X10)
      | ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1198]) ).

fof(c_0_2114,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1199]) ).

fof(c_0_2115,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1200]) ).

fof(c_0_2116,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X6,X5,X7),X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1201]) ).

fof(c_0_2117,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X6,X5,X7),X7)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1202]) ).

fof(c_0_2118,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1203]) ).

fof(c_0_2119,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1204]) ).

fof(c_0_2120,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X7)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1205]) ).

fof(c_0_2121,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X7)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1206]) ).

fof(c_0_2122,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X7)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1207]) ).

fof(c_0_2123,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X7)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1208]) ).

fof(c_0_2124,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X7)
      | c_lessequals(c_HOL_Otimes__class_Otimes(X5,X6,X7),c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1209]) ).

fof(c_0_2125,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oplus__class_Oplus(X6,X5,X7),X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1210]) ).

fof(c_0_2126,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oplus__class_Oplus(X6,X5,X7),X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1211]) ).

fof(c_0_2127,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oplus__class_Oplus(X6,X5,X7),X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1212]) ).

fof(c_0_2128,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oplus__class_Oplus(X6,X5,X7),X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X5,X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1213]) ).

fof(c_0_2129,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1214]) ).

fof(c_0_2130,plain,
    ! [X22,X23,X24] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X24)
      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X24),c_HOL_Otimes__class_Otimes(X23,X22,X24),X24)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X24),X22,X24)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X24),X23,X24) ),
    inference(variable_rename,[status(thm)],[c_0_1215]) ).

fof(c_0_2131,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__field(X10)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X9,X8,X10),c_HOL_Ozero__class_Ozero(X10),X10)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X10),X8,X10)
      | ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1216]) ).

fof(c_0_2132,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__field(X10)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X9,X8,X10),c_HOL_Ozero__class_Ozero(X10),X10)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X10),X10)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X10),X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1217]) ).

fof(c_0_2133,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X7)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1218]) ).

fof(c_0_2134,plain,
    ! [X8,X9] :
      ( c_lessequals(X8,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X9,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X9,X8,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1219])])]) ).

fof(c_0_2135,plain,
    ! [X8,X9] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
      | c_lessequals(X9,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X9,X8,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1220])])]) ).

fof(c_0_2136,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X20)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X19,X17,X20),c_HOL_Oplus__class_Oplus(X18,X17,X20),X20)
      | ~ c_lessequals(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1221]) ).

fof(c_0_2137,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X20)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X17,X19,X20),c_HOL_Oplus__class_Oplus(X17,X18,X20),X20)
      | ~ c_lessequals(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1222]) ).

fof(c_0_2138,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X20)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X19,X17,X20),c_HOL_Oplus__class_Oplus(X18,X17,X20),X20)
      | ~ c_lessequals(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1223]) ).

fof(c_0_2139,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X20)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X17,X19,X20),c_HOL_Oplus__class_Oplus(X17,X18,X20),X20)
      | ~ c_lessequals(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1224]) ).

fof(c_0_2140,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oidom(X20)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1225]) ).

fof(c_0_2141,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oidom(X20)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1226]) ).

fof(c_0_2142,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X17,X19,X20),c_HOL_Oplus__class_Oplus(X17,X18,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1227]) ).

fof(c_0_2143,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X17,X19,X20),c_HOL_Oplus__class_Oplus(X17,X18,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1228]) ).

fof(c_0_2144,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X19,X17,X20),c_HOL_Oplus__class_Oplus(X18,X17,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1229]) ).

fof(c_0_2145,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X19,X17,X20),c_HOL_Oplus__class_Oplus(X18,X17,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1230]) ).

fof(c_0_2146,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X6),X5,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1231]) ).

fof(c_0_2147,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X6),X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1232]) ).

fof(c_0_2148,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X6),X5,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1233]) ).

fof(c_0_2149,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X20)
      | ~ class_OrderedGroup_Ocomm__monoid__add(X20)
      | c_HOL_Oord__class_Oless(X18,c_HOL_Oplus__class_Oplus(X19,X17,X20),X20)
      | ~ c_lessequals(X18,X17,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1234]) ).

fof(c_0_2150,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X20)
      | ~ class_OrderedGroup_Ocomm__monoid__add(X20)
      | c_lessequals(X18,c_HOL_Oplus__class_Oplus(X19,X17,X20),X20)
      | ~ c_lessequals(X18,X19,X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1235]) ).

fof(c_0_2151,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X20)
      | ~ class_OrderedGroup_Ocomm__monoid__add(X20)
      | c_lessequals(X18,c_HOL_Oplus__class_Oplus(X19,X17,X20),X20)
      | ~ c_lessequals(X18,X17,X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1236]) ).

fof(c_0_2152,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X20)
      | ~ class_OrderedGroup_Ocomm__monoid__add(X20)
      | c_HOL_Oord__class_Oless(X18,c_HOL_Oplus__class_Oplus(X19,X17,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X18,X17,X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1237]) ).

fof(c_0_2153,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X6),X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1238]) ).

fof(c_0_2154,plain,
    ! [X8] :
      ( c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xs__2(v_p,v_r,X8),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X8,v_s____,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1239]) ).

fof(c_0_2155,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X7)
      | c_lessequals(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1240]) ).

fof(c_0_2156,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X20)
      | c_HOL_Oord__class_Oless(X18,c_HOL_Oplus__class_Oplus(X19,X17,X20),X20)
      | ~ c_HOL_Oord__class_Oless(X18,X17,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1241]) ).

fof(c_0_2157,plain,
    ! [X8,X9,X10] :
      ( c_lessequals(c_HOL_Oplus__class_Oplus(X8,X10,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X8,X9,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X10,X9,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1242]) ).

fof(c_0_2158,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Ofield(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20) = c_HOL_Oinverse__class_Odivide(X19,X18,X20)
      | X17 = c_HOL_Ozero__class_Ozero(X20) ),
    inference(variable_rename,[status(thm)],[c_0_1243]) ).

fof(c_0_2159,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Ofield(X20)
      | ~ class_Ring__and__Field_Odivision__by__zero(X20)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20) = c_HOL_Oinverse__class_Odivide(X19,X18,X20)
      | X17 = c_HOL_Ozero__class_Ozero(X20) ),
    inference(variable_rename,[status(thm)],[c_0_1244]) ).

fof(c_0_2160,plain,
    ! [X22,X23,X24] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X24)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X23,X22,X24),X22,X24) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X23,c_HOL_Oone__class_Oone(X24),X24),X22,X24) ),
    inference(variable_rename,[status(thm)],[c_0_1245]) ).

fof(c_0_2161,plain,
    ! [X22,X23,X24] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X24)
      | c_HOL_Oplus__class_Oplus(X22,c_HOL_Otimes__class_Otimes(X23,X22,X24),X24) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X23,c_HOL_Oone__class_Oone(X24),X24),X22,X24) ),
    inference(variable_rename,[status(thm)],[c_0_1246]) ).

fof(c_0_2162,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X20)
      | c_Ring__and__Field_Odvd__class_Odvd(X19,c_HOL_Oplus__class_Oplus(X18,X17,X20),X20)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X19,X17,X20)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1247]) ).

fof(c_0_2163,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X11)
      | c_Ring__and__Field_Odvd__class_Odvd(X10,c_HOL_Ominus__class_Ominus(X9,X8,X11),X11)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X10,X8,X11)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X10,X9,X11) ),
    inference(variable_rename,[status(thm)],[c_0_1248]) ).

fof(c_0_2164,plain,
    ! [X22,X23,X24,X25] :
      ( ~ class_Divides_Osemiring__div(X25)
      | c_Ring__and__Field_Odvd__class_Odvd(X24,c_Divides_Odiv__class_Omod(X23,X22,X25),X25)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X24,X23,X25)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X24,X22,X25) ),
    inference(variable_rename,[status(thm)],[c_0_1249]) ).

fof(c_0_2165,plain,
    ! [X22,X23,X24,X25] :
      ( ~ class_Divides_Osemiring__div(X25)
      | c_Ring__and__Field_Odvd__class_Odvd(X24,c_Divides_Odiv__class_Omod(X23,X22,X25),X25)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X24,X22,X25)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X24,X23,X25) ),
    inference(variable_rename,[status(thm)],[c_0_1250]) ).

fof(c_0_2166,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Oring__div(X17)
      | c_Divides_Odiv__class_Omod(X16,X14,X17) != c_Divides_Odiv__class_Omod(X15,X14,X17)
      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X16,X17),X14,X17) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X15,X17),X14,X17) ),
    inference(variable_rename,[status(thm)],[c_0_1251]) ).

fof(c_0_2167,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X7)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7),X7) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1252]) ).

fof(c_0_2168,plain,
    ! [X8,X9] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X9,X8,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X9,tc_RealDef_Oreal)
      | ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1253]) ).

fof(c_0_2169,plain,
    ! [X8,X9] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X9,X8,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X8,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1254]) ).

fof(c_0_2170,plain,
    ! [X8,X9] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X9,X8,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X9,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1255]) ).

fof(c_0_2171,plain,
    ! [X8,X9] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X9,X8,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X8,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1256])])]) ).

fof(c_0_2172,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_Ring__and__Field_Ofield(X11)
      | ~ class_Ring__and__Field_Odivision__by__zero(X11)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X10,X9,X11),X8,X11) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X10,X8,X11),X9,X11) ),
    inference(variable_rename,[status(thm)],[c_0_1257]) ).

fof(c_0_2173,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X5,X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1258]) ).

fof(c_0_2174,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X5,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1259]) ).

fof(c_0_2175,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__idom(X6)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X5,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1260]) ).

fof(c_0_2176,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X5,X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1261]) ).

fof(c_0_2177,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X5,X5,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1262]) ).

fof(c_0_2178,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Oab__semigroup__mult(X20)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X19,X18,X20),X17,X20) = c_HOL_Otimes__class_Otimes(X19,c_HOL_Otimes__class_Otimes(X18,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1263]) ).

fof(c_0_2179,plain,
    ! [X36,X37,X38,X39] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X39)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X38,X37,X39),X36,X39) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X38,X36,X39),X37,X39) ),
    inference(variable_rename,[status(thm)],[c_0_1264]) ).

fof(c_0_2180,plain,
    ! [X36,X37,X38,X39] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X39)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X38,X37,X39),X36,X39) = c_HOL_Otimes__class_Otimes(X38,c_HOL_Otimes__class_Otimes(X37,X36,X39),X39) ),
    inference(variable_rename,[status(thm)],[c_0_1265]) ).

fof(c_0_2181,plain,
    ! [X36,X37,X38,X39] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X39)
      | c_HOL_Otimes__class_Otimes(X38,c_HOL_Otimes__class_Otimes(X37,X36,X39),X39) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X38,X37,X39),X36,X39) ),
    inference(variable_rename,[status(thm)],[c_0_1266]) ).

fof(c_0_2182,plain,
    ! [X36,X37,X38,X39] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X39)
      | c_HOL_Otimes__class_Otimes(X38,c_HOL_Otimes__class_Otimes(X37,X36,X39),X39) = c_HOL_Otimes__class_Otimes(X37,c_HOL_Otimes__class_Otimes(X38,X36,X39),X39) ),
    inference(variable_rename,[status(thm)],[c_0_1267]) ).

fof(c_0_2183,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X11)
      | c_HOL_Otimes__class_Otimes(X10,c_HOL_Otimes__class_Otimes(X9,X8,X11),X11) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X10,X9,X11),X8,X11) ),
    inference(variable_rename,[status(thm)],[c_0_1268]) ).

fof(c_0_2184,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_RealVector_Oreal__normed__algebra(X15)
      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X12,X14,X15),X13,X15) = c_RealVector_OscaleR__class_OscaleR(X12,c_HOL_Otimes__class_Otimes(X14,X13,X15),X15) ),
    inference(variable_rename,[status(thm)],[c_0_1269]) ).

fof(c_0_2185,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_RealVector_Oreal__normed__algebra(X15)
      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X14,X13,X15),X12,X15) = c_RealVector_OscaleR__class_OscaleR(X14,c_HOL_Otimes__class_Otimes(X13,X12,X15),X15) ),
    inference(variable_rename,[status(thm)],[c_0_1270]) ).

fof(c_0_2186,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_RealVector_Oreal__normed__algebra(X15)
      | c_HOL_Otimes__class_Otimes(X14,c_RealVector_OscaleR__class_OscaleR(X12,X13,X15),X15) = c_RealVector_OscaleR__class_OscaleR(X12,c_HOL_Otimes__class_Otimes(X14,X13,X15),X15) ),
    inference(variable_rename,[status(thm)],[c_0_1271]) ).

fof(c_0_2187,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_RealVector_Oreal__normed__algebra(X15)
      | c_HOL_Otimes__class_Otimes(X12,c_RealVector_OscaleR__class_OscaleR(X14,X13,X15),X15) = c_RealVector_OscaleR__class_OscaleR(X14,c_HOL_Otimes__class_Otimes(X12,X13,X15),X15) ),
    inference(variable_rename,[status(thm)],[c_0_1272]) ).

fof(c_0_2188,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_RealVector_Oreal__algebra(X11)
      | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X10,X9,X11),X8,X11) = c_RealVector_OscaleR__class_OscaleR(X10,c_HOL_Otimes__class_Otimes(X9,X8,X11),X11) ),
    inference(variable_rename,[status(thm)],[c_0_1273]) ).

fof(c_0_2189,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_RealVector_Oreal__algebra(X11)
      | c_HOL_Otimes__class_Otimes(X9,c_RealVector_OscaleR__class_OscaleR(X10,X8,X11),X11) = c_RealVector_OscaleR__class_OscaleR(X10,c_HOL_Otimes__class_Otimes(X9,X8,X11),X11) ),
    inference(variable_rename,[status(thm)],[c_0_1274]) ).

fof(c_0_2190,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_RealVector_Oreal__normed__field(X15)
      | c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X14,X13,X15),X12,X15) = c_RealVector_OscaleR__class_OscaleR(X14,c_HOL_Oinverse__class_Odivide(X13,X12,X15),X15) ),
    inference(variable_rename,[status(thm)],[c_0_1275]) ).

fof(c_0_2191,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_RealVector_Oreal__normed__vector(X15)
      | c_RealVector_OscaleR__class_OscaleR(X14,c_RealVector_OscaleR__class_OscaleR(X12,X13,X15),X15) = c_RealVector_OscaleR__class_OscaleR(X12,c_RealVector_OscaleR__class_OscaleR(X14,X13,X15),X15) ),
    inference(variable_rename,[status(thm)],[c_0_1276]) ).

fof(c_0_2192,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_RealVector_Oreal__vector(X9)
      | c_RealVector_OscaleR__class_OscaleR(X8,c_RealVector_OscaleR__class_OscaleR(X7,X6,X9),X9) = c_RealVector_OscaleR__class_OscaleR(X7,c_RealVector_OscaleR__class_OscaleR(X8,X6,X9),X9) ),
    inference(variable_rename,[status(thm)],[c_0_1277]) ).

fof(c_0_2193,plain,
    ! [X30,X31,X32,X33] :
      ( ~ class_RealVector_Oreal__normed__vector(X33)
      | c_RealVector_OscaleR__class_OscaleR(X31,c_RealVector_OscaleR__class_OscaleR(X32,X30,X33),X33) = c_RealVector_OscaleR__class_OscaleR(X32,c_RealVector_OscaleR__class_OscaleR(X31,X30,X33),X33) ),
    inference(variable_rename,[status(thm)],[c_0_1278]) ).

fof(c_0_2194,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X20)
      | c_HOL_Oplus__class_Oplus(X19,c_HOL_Oplus__class_Oplus(X18,X17,X20),X20) = c_HOL_Oplus__class_Oplus(X18,c_HOL_Oplus__class_Oplus(X19,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1279]) ).

fof(c_0_2195,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X20)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X19,X18,X20),X17,X20) = c_HOL_Oplus__class_Oplus(X19,c_HOL_Oplus__class_Oplus(X18,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1280]) ).

fof(c_0_2196,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X11)
      | c_HOL_Oplus__class_Oplus(X10,c_HOL_Oplus__class_Oplus(X9,X8,X11),X11) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X10,X9,X11),X8,X11) ),
    inference(variable_rename,[status(thm)],[c_0_1281]) ).

fof(c_0_2197,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_OrderedGroup_Oab__group__add(X11)
      | c_HOL_Oplus__class_Oplus(X10,c_HOL_Oplus__class_Oplus(X9,X8,X11),X11) = c_HOL_Oplus__class_Oplus(X9,c_HOL_Oplus__class_Oplus(X10,X8,X11),X11) ),
    inference(variable_rename,[status(thm)],[c_0_1282]) ).

fof(c_0_2198,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X20)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X19,X18,X20),X17,X20) = c_HOL_Oplus__class_Oplus(X19,c_HOL_Oplus__class_Oplus(X18,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1283]) ).

fof(c_0_2199,plain,
    ! [X18,X19,X20,X21] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X21)
      | c_HOL_Oplus__class_Oplus(X20,c_HOL_Oplus__class_Oplus(X19,X18,X21),X21) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X20,X19,X21),X18,X21) ),
    inference(variable_rename,[status(thm)],[c_0_1284]) ).

fof(c_0_2200,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X20)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X19,X18,X20),X17,X20) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X19,X17,X20),X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1285]) ).

fof(c_0_2201,plain,
    ! [X18,X19,X20,X21] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X21)
      | c_HOL_Oplus__class_Oplus(X20,c_HOL_Oplus__class_Oplus(X19,X18,X21),X21) = c_HOL_Oplus__class_Oplus(X19,c_HOL_Oplus__class_Oplus(X20,X18,X21),X21) ),
    inference(variable_rename,[status(thm)],[c_0_1286]) ).

fof(c_0_2202,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X20)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X19,X18,X20),X17,X20) = c_HOL_Oplus__class_Oplus(X19,c_HOL_Oplus__class_Oplus(X18,X17,X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_1287]) ).

fof(c_0_2203,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X16)
      | c_Polynomial_Opoly(c_Polynomial_Opcompose(X15,X14,X16),X13,X16) = c_Polynomial_Opoly(X15,c_Polynomial_Opoly(X14,X13,X16),X16) ),
    inference(variable_rename,[status(thm)],[c_0_1288]) ).

fof(c_0_2204,plain,
    ! [X5] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),c_HOL_Ozero__class_Ozero(X5),X5),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),c_HOL_Ozero__class_Ozero(X5),X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_1289]) ).

fof(c_0_2205,plain,
    ! [X8,X9] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X9,tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X9,X8,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1290]) ).

fof(c_0_2206,plain,
    ! [X8,X9] :
      ( c_lessequals(X8,c_HOL_Ouminus__class_Ouminus(X9,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X9,X8,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1291]) ).

fof(c_0_2207,plain,
    ! [X8,X9] :
      ( c_HOL_Oord__class_Oless(X8,c_HOL_Ouminus__class_Ouminus(X9,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X9,X8,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1292]) ).

fof(c_0_2208,plain,
    ! [X8,X9] :
      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X9,tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X9,X8,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1293]) ).

fof(c_0_2209,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | c_HOL_Oord__class_Oless(X5,X6,X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X6,X7),c_HOL_Oinverse__class_Oinverse(X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1294]) ).

fof(c_0_2210,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | c_HOL_Oord__class_Oless(X5,X6,X7)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X6,X7),c_HOL_Oinverse__class_Oinverse(X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1295]) ).

fof(c_0_2211,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | c_lessequals(X5,X6,X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7)
      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X6,X7),c_HOL_Oinverse__class_Oinverse(X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1296]) ).

fof(c_0_2212,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | c_lessequals(X5,X6,X7)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X6,X7),c_HOL_Oinverse__class_Oinverse(X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1297]) ).

fof(c_0_2213,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
      | c_lessequals(X6,X5,X7)
      | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1298]) ).

fof(c_0_2214,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
      | c_HOL_Oord__class_Oless(X6,X5,X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1299]) ).

fof(c_0_2215,plain,
    ! [X29,X30,X31,X32,X33] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X33)
      | c_HOL_Ominus__class_Ominus(X32,X30,X33) != c_HOL_Ominus__class_Ominus(X31,X29,X33)
      | c_lessequals(X29,X31,X33)
      | ~ c_lessequals(X30,X32,X33) ),
    inference(variable_rename,[status(thm)],[c_0_1300]) ).

fof(c_0_2216,plain,
    ! [X29,X30,X31,X32,X33] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X33)
      | c_HOL_Ominus__class_Ominus(X32,X30,X33) != c_HOL_Ominus__class_Ominus(X31,X29,X33)
      | c_lessequals(X30,X32,X33)
      | ~ c_lessequals(X29,X31,X33) ),
    inference(variable_rename,[status(thm)],[c_0_1301]) ).

fof(c_0_2217,plain,
    ! [X29,X30,X31,X32,X33] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X33)
      | c_HOL_Ominus__class_Ominus(X32,X30,X33) != c_HOL_Ominus__class_Ominus(X31,X29,X33)
      | c_HOL_Oord__class_Oless(X31,X29,X33)
      | ~ c_HOL_Oord__class_Oless(X32,X30,X33) ),
    inference(variable_rename,[status(thm)],[c_0_1302]) ).

fof(c_0_2218,plain,
    ! [X29,X30,X31,X32,X33] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X33)
      | c_HOL_Ominus__class_Ominus(X32,X30,X33) != c_HOL_Ominus__class_Ominus(X31,X29,X33)
      | c_HOL_Oord__class_Oless(X32,X30,X33)
      | ~ c_HOL_Oord__class_Oless(X31,X29,X33) ),
    inference(variable_rename,[status(thm)],[c_0_1303]) ).

fof(c_0_2219,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X20)
      | c_Ring__and__Field_Odvd__class_Odvd(X18,X17,X20)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X19,X18,X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1304]) ).

fof(c_0_2220,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X20)
      | c_Ring__and__Field_Odvd__class_Odvd(X19,X17,X20)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X19,X18,X20),X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1305]) ).

fof(c_0_2221,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__field(X10)
      | ~ class_Ring__and__Field_Odivision__by__zero(X10)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X9,X10),X8,X10) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X9,X8,X10),X10)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X10),X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1306]) ).

fof(c_0_2222,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Divides_Osemiring__div(X20)
      | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X19,X18,X20),X17,X20) = c_Divides_Odiv__class_Omod(X19,X17,X20)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X17,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1307]) ).

fof(c_0_2223,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__idom(X10)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X8,X10),X9,X10) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X8,X9,X10),X10)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X10),X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1308]) ).

fof(c_0_2224,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X7)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1309]) ).

fof(c_0_2225,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__idom(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X6,X7),X5,X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7)
      | ~ c_HOL_Oord__class_Oless(X6,X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1310]) ).

fof(c_0_2226,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X7)
      | c_lessequals(c_HOL_Oabs__class_Oabs(X6,X7),X5,X7)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7)
      | ~ c_lessequals(X6,X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1311]) ).

fof(c_0_2227,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X7)
      | c_lessequals(c_HOL_Oabs__class_Oabs(X6,X7),X5,X7)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7)
      | ~ c_lessequals(X6,X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1312]) ).

fof(c_0_2228,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oidom(X7)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X6,c_HOL_Ozero__class_Ozero(X7),X7),c_HOL_Otimes__class_Otimes(X5,c_HOL_Ozero__class_Ozero(X7),X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1313]) ).

fof(c_0_2229,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oidom(X7)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X7),X6,X7),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X7),X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1314]) ).

fof(c_0_2230,plain,
    ! [X11,X12,X13,X14,X15] :
      ( ~ class_Ring__and__Field_Ofield(X15)
      | c_HOL_Oinverse__class_Odivide(X13,X12,X15) != c_HOL_Oinverse__class_Odivide(X14,X11,X15)
      | X11 = c_HOL_Ozero__class_Ozero(X15)
      | X12 = c_HOL_Ozero__class_Ozero(X15)
      | c_HOL_Otimes__class_Otimes(X13,X11,X15) = c_HOL_Otimes__class_Otimes(X14,X12,X15) ),
    inference(variable_rename,[status(thm)],[c_0_1315]) ).

fof(c_0_2231,plain,
    ! [X11,X12,X13,X14,X15] :
      ( ~ class_Ring__and__Field_Ofield(X15)
      | c_HOL_Otimes__class_Otimes(X13,X11,X15) != c_HOL_Otimes__class_Otimes(X14,X12,X15)
      | X11 = c_HOL_Ozero__class_Ozero(X15)
      | X12 = c_HOL_Ozero__class_Ozero(X15)
      | c_HOL_Oinverse__class_Odivide(X13,X12,X15) = c_HOL_Oinverse__class_Odivide(X14,X11,X15) ),
    inference(variable_rename,[status(thm)],[c_0_1316]) ).

fof(c_0_2232,plain,
    ! [X8,X9,X10] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X10)
      | c_HOL_Oplus__class_Oplus(X9,X8,X10) != c_HOL_Ozero__class_Ozero(X10)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X10),X8,X10)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X10),X9,X10)
      | X8 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_1317]) ).

fof(c_0_2233,plain,
    ! [X8,X9,X10] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X10)
      | c_HOL_Oplus__class_Oplus(X9,X8,X10) != c_HOL_Ozero__class_Ozero(X10)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X10),X8,X10)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X10),X9,X10)
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_1318]) ).

fof(c_0_2234,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X5,X7),c_HOL_Oinverse__class_Oinverse(X6,X7),X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7)
      | ~ c_HOL_Oord__class_Oless(X6,X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1319]) ).

fof(c_0_2235,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X5,X7),c_HOL_Oinverse__class_Oinverse(X6,X7),X7)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_HOL_Oord__class_Oless(X6,X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1320]) ).

fof(c_0_2236,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X5,X7),c_HOL_Oinverse__class_Oinverse(X6,X7),X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7)
      | ~ c_lessequals(X6,X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1321]) ).

fof(c_0_2237,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X5,X7),c_HOL_Oinverse__class_Oinverse(X6,X7),X7)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(X6,X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1322]) ).

fof(c_0_2238,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_lessequals(c_HOL_Oone__class_Oone(X7),c_HOL_Oinverse__class_Oinverse(X6,X7),X7)
      | ~ c_lessequals(X6,c_HOL_Oone__class_Oone(X7),X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1323]) ).

fof(c_0_2239,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X7),c_HOL_Oinverse__class_Oinverse(X6,X7),X7)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Oone__class_Oone(X7),X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1324]) ).

fof(c_0_2240,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X6),X5,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1325]) ).

fof(c_0_2241,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X6),X5,X6),X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1326]) ).

fof(c_0_2242,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X6),X5,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1327]) ).

fof(c_0_2243,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X6),X5,X6),X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1328]) ).

fof(c_0_2244,plain,
    ! [X39,X40] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X40,c_HOL_Ouminus__class_Ouminus(X39,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X39,X40,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1329]) ).

fof(c_0_2245,plain,
    ! [X5] :
      ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X5)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X5),c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X5),c_HOL_Ozero__class_Ozero(X5),X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X5),c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_1330]) ).

fof(c_0_2246,plain,
    ! [X8,X9] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X9,X8,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X9,tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1331]) ).

fof(c_0_2247,plain,
    ! [X8,X9] :
      ( c_lessequals(c_HOL_Oplus__class_Oplus(X9,X8,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X8,c_HOL_Ouminus__class_Ouminus(X9,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1332]) ).

fof(c_0_2248,plain,
    ! [X12,X13] :
      ( c_lessequals(c_HOL_Oabs__class_Oabs(X12,tc_RealDef_Oreal),X13,tc_RealDef_Oreal)
      | ~ c_lessequals(X12,X13,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X13,tc_RealDef_Oreal),X12,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1333]) ).

fof(c_0_2249,plain,
    ! [X8,X9] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X9,X8,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ouminus__class_Ouminus(X9,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1334]) ).

fof(c_0_2250,plain,
    ! [X8,X9] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X9,X8,tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X9,tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1335]) ).

fof(c_0_2251,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_OrderedGroup_Oab__group__add(X11)
      | c_HOL_Oplus__class_Oplus(X10,c_HOL_Oplus__class_Oplus(X9,X8,X11),X11) != X9
      | X10 = c_HOL_Ouminus__class_Ouminus(X8,X11) ),
    inference(variable_rename,[status(thm)],[c_0_1336]) ).

fof(c_0_2252,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_lessequals(c_HOL_Oone__class_Oone(X7),X6,X7)
      | c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X6,X7),c_HOL_Oone__class_Oone(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1337]) ).

fof(c_0_2253,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X7),X6,X7)
      | c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X6,X7),c_HOL_Oone__class_Oone(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1338]) ).

fof(c_0_2254,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X5,X5,X6),X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1339]) ).

fof(c_0_2255,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X5,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1340]) ).

fof(c_0_2256,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__idom(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X5,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1341]) ).

fof(c_0_2257,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X5,X5,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1342]) ).

fof(c_0_2258,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X5,X5,X6),X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1343]) ).

fof(c_0_2259,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
      | c_lessequals(c_HOL_Oplus__class_Oplus(X5,X5,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1344]) ).

fof(c_0_2260,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
      | c_lessequals(c_HOL_Ominus__class_Ominus(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_lessequals(X6,X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1345]) ).

fof(c_0_2261,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
      | ~ c_HOL_Oord__class_Oless(X6,X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1346]) ).

fof(c_0_2262,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X20)
      | c_Ring__and__Field_Odvd__class_Odvd(X19,c_HOL_Otimes__class_Otimes(X18,X17,X20),X20)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1347]) ).

fof(c_0_2263,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X20)
      | c_Ring__and__Field_Odvd__class_Odvd(X19,c_HOL_Otimes__class_Otimes(X18,X17,X20),X20)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X19,X17,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1348]) ).

fof(c_0_2264,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X7)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X6,X5,X7),X7) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1349]) ).

fof(c_0_2265,plain,
    ! [X5,X6,X7] :
      ( ~ class_RealVector_Oreal__normed__vector(X7)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X6,X5,X7),X7) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X5,X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1350]) ).

fof(c_0_2266,plain,
    ! [X22,X23] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X23)
      | c_HOL_Oplus__class_Oplus(X22,X22,X23) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X23),c_HOL_Oone__class_Oone(X23),X23),X22,X23) ),
    inference(variable_rename,[status(thm)],[c_0_1351]) ).

fof(c_0_2267,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Odivision__ring(X7)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X5,X7),c_HOL_Oinverse__class_Oinverse(X6,X7),X7)
      | X5 = c_HOL_Ozero__class_Ozero(X7)
      | X6 = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1352]) ).

fof(c_0_2268,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Ofield(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X6,X7),c_HOL_Oinverse__class_Oinverse(X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1353]) ).

fof(c_0_2269,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1354]) ).

fof(c_0_2270,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | ~ class_RealVector_Oreal__normed__field(X7)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X6,X7),c_RealVector_Onorm__class_Onorm(X5,X7),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1355]) ).

fof(c_0_2271,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7)
      | X5 = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1356]) ).

fof(c_0_2272,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X10)
      | ~ class_RealVector_Oreal__field(X10)
      | c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X9,X8,tc_RealDef_Oreal),X10) = c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X9,X10),c_RealVector_Oof__real(X8,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1357]) ).

fof(c_0_2273,plain,
    ! [X8,X9,X10] :
      ( ~ class_RealVector_Oreal__normed__vector(X10)
      | ~ class_RealVector_Oreal__algebra__1(X10)
      | c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X9,X8,tc_RealDef_Oreal),X10) = c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X9,X10),c_RealVector_Oof__real(X8,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1358]) ).

fof(c_0_2274,plain,
    ! [X5,X6,X7] :
      ( ~ class_RealVector_Oreal__normed__field(X7)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X6,X7),c_RealVector_Onorm__class_Onorm(X5,X7),tc_RealDef_Oreal)
      | X5 = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1359]) ).

fof(c_0_2275,plain,
    ! [X8] :
      ( c_HOL_Oord__class_Oless(X8,v_sko__local__Xs__1(v_p,v_r,X8),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X8,v_s____,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1360]) ).

fof(c_0_2276,plain,
    ! [X8,X9,X10] :
      ( ~ class_RealVector_Oreal__field(X10)
      | c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X9,X8,tc_RealDef_Oreal),X10) = c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X9,X10),c_RealVector_Oof__real(X8,X10),X10)
      | X8 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1361]) ).

fof(c_0_2277,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X20)
      | c_Ring__and__Field_Odvd__class_Odvd(X19,X17,X20)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X18,X17,X20)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_1362]) ).

fof(c_0_2278,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_Orderings_Oorder(X11)
      | c_HOL_Oord__class_Oless(X8,X10,X11)
      | ~ c_HOL_Oord__class_Oless(X8,X9,X11)
      | ~ c_HOL_Oord__class_Oless(X9,X10,X11) ),
    inference(variable_rename,[status(thm)],[c_0_1363]) ).

fof(c_0_2279,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_Orderings_Opreorder(X11)
      | c_HOL_Oord__class_Oless(X10,X8,X11)
      | ~ c_HOL_Oord__class_Oless(X9,X8,X11)
      | ~ c_HOL_Oord__class_Oless(X10,X9,X11) ),
    inference(variable_rename,[status(thm)],[c_0_1364]) ).

fof(c_0_2280,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_Orderings_Opreorder(X11)
      | c_HOL_Oord__class_Oless(X10,X8,X11)
      | ~ c_HOL_Oord__class_Oless(X9,X8,X11)
      | ~ c_lessequals(X10,X9,X11) ),
    inference(variable_rename,[status(thm)],[c_0_1365]) ).

fof(c_0_2281,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_Orderings_Opreorder(X11)
      | c_HOL_Oord__class_Oless(X10,X8,X11)
      | ~ c_lessequals(X9,X8,X11)
      | ~ c_HOL_Oord__class_Oless(X10,X9,X11) ),
    inference(variable_rename,[status(thm)],[c_0_1366]) ).

fof(c_0_2282,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_Orderings_Opreorder(X11)
      | c_lessequals(X10,X8,X11)
      | ~ c_lessequals(X9,X8,X11)
      | ~ c_lessequals(X10,X9,X11) ),
    inference(variable_rename,[status(thm)],[c_0_1367]) ).

fof(c_0_2283,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_Orderings_Oorder(X11)
      | c_HOL_Oord__class_Oless(X8,X10,X11)
      | ~ c_HOL_Oord__class_Oless(X8,X9,X11)
      | ~ c_lessequals(X9,X10,X11) ),
    inference(variable_rename,[status(thm)],[c_0_1368]) ).

fof(c_0_2284,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_Orderings_Oorder(X11)
      | c_HOL_Oord__class_Oless(X8,X10,X11)
      | ~ c_lessequals(X8,X9,X11)
      | ~ c_HOL_Oord__class_Oless(X9,X10,X11) ),
    inference(variable_rename,[status(thm)],[c_0_1369]) ).

fof(c_0_2285,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_Orderings_Oorder(X11)
      | c_lessequals(X8,X10,X11)
      | ~ c_lessequals(X8,X9,X11)
      | ~ c_lessequals(X9,X10,X11) ),
    inference(variable_rename,[status(thm)],[c_0_1370]) ).

fof(c_0_2286,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__idom(X7)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1371]) ).

fof(c_0_2287,plain,
    ! [X8,X9,X10] :
      ( ~ class_RealVector_Oreal__normed__div__algebra(X10)
      | c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X9,X8,X10),X10) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X9,X10),c_HOL_Osgn__class_Osgn(X8,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1372]) ).

fof(c_0_2288,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__idom(X7)
      | c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X6,X7),c_HOL_Osgn__class_Osgn(X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1373]) ).

fof(c_0_2289,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Oab__group__add(X7)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X6,X5,X7),X7) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X6,X7),c_HOL_Ouminus__class_Ouminus(X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1374]) ).

fof(c_0_2290,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Ogroup__add(X7)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X6,X5,X7),X7) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X5,X7),c_HOL_Ouminus__class_Ouminus(X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1375]) ).

fof(c_0_2291,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Oab__group__add(X7)
      | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X6,X7),c_HOL_Ouminus__class_Ouminus(X5,X7),X7) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X6,X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1376]) ).

fof(c_0_2292,plain,
    ! [X8,X9,X10] :
      ( ~ class_RealVector_Oreal__algebra__1(X10)
      | c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X9,X8,tc_RealDef_Oreal),X10) = c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X9,X10),c_RealVector_Oof__real(X8,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1377]) ).

fof(c_0_2293,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
      | c_HOL_Oord__class_Oless(X6,X5,X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,X7),c_HOL_Ouminus__class_Ouminus(X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1378]) ).

fof(c_0_2294,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
      | c_lessequals(X6,X5,X7)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X7),c_HOL_Ouminus__class_Ouminus(X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1379]) ).

fof(c_0_2295,plain,
    ! [X5,X6,X7] :
      ( ~ class_Divides_Osemiring__div(X7)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X6,X5,X7),X5,X7) = c_Divides_Odiv__class_Omod(X6,X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1380]) ).

fof(c_0_2296,plain,
    ! [X5,X6,X7] :
      ( ~ class_Divides_Osemiring__div(X7)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X6,X7),X5,X7) = c_Divides_Odiv__class_Omod(X6,X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1381]) ).

fof(c_0_2297,plain,
    ! [X8,X9,X10] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X10)
      | c_HOL_Otimes__class_Otimes(X9,c_HOL_Otimes__class_Otimes(X9,X8,X10),X10) = c_HOL_Otimes__class_Otimes(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1382]) ).

fof(c_0_2298,plain,
    ! [X5,X6,X7] :
      ( ~ class_Divides_Osemiring__div(X7)
      | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X6,X5,X7),X5,X7) = c_Divides_Odiv__class_Omod(X6,X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1383]) ).

fof(c_0_2299,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Ogroup__add(X7)
      | c_HOL_Oplus__class_Oplus(X6,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7),X7) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1384]) ).

fof(c_0_2300,plain,
    ! [X20,X21,X22] :
      ( c_lessequals(X22,X20,tc_RealDef_Oreal)
      | ~ c_lessequals(X21,X20,tc_RealDef_Oreal)
      | ~ c_lessequals(X22,X21,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1385]) ).

fof(c_0_2301,plain,
    ! [X9,X10,X11] :
      ( ~ class_Ring__and__Field_Ocomm__ring(X11)
      | c_Polynomial_Opoly(c_HOL_Ouminus__class_Ouminus(X10,tc_Polynomial_Opoly(X11)),X9,X11) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Opoly(X10,X9,X11),X11) ),
    inference(variable_rename,[status(thm)],[c_0_1386]) ).

fof(c_0_2302,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Ofield(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) = c_HOL_Oinverse__class_Odivide(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1387]) ).

fof(c_0_2303,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X7)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X6,X7),X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1388]) ).

fof(c_0_2304,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__idom(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X6,X7),X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1389]) ).

fof(c_0_2305,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1390]) ).

fof(c_0_2306,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,X7),X6,X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1391]) ).

fof(c_0_2307,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
      | c_HOL_Oord__class_Oless(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ouminus__class_Ouminus(X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1392]) ).

fof(c_0_2308,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Ouminus__class_Ouminus(X6,X7),X7)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1393]) ).

fof(c_0_2309,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1394]) ).

fof(c_0_2310,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X7),X6,X7)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1395]) ).

fof(c_0_2311,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
      | c_lessequals(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7)
      | ~ c_lessequals(X5,c_HOL_Ouminus__class_Ouminus(X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1396]) ).

fof(c_0_2312,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
      | c_lessequals(X5,c_HOL_Ouminus__class_Ouminus(X6,X7),X7)
      | ~ c_lessequals(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1397]) ).

fof(c_0_2313,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Ofield(X7)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) = c_HOL_Oinverse__class_Odivide(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7)
      | X5 = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1398]) ).

fof(c_0_2314,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X7),c_HOL_Oinverse__class_Oinverse(X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1399]) ).

fof(c_0_2315,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oord__class_Oless(X6,c_HOL_Oone__class_Oone(X7),X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X7),c_HOL_Oinverse__class_Oinverse(X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1400]) ).

fof(c_0_2316,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oinverse__class_Oinverse(X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1401]) ).

fof(c_0_2317,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(X7),c_HOL_Oinverse__class_Oinverse(X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1402]) ).

fof(c_0_2318,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_lessequals(X6,c_HOL_Oone__class_Oone(X7),X7)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(X7),c_HOL_Oinverse__class_Oinverse(X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1403]) ).

fof(c_0_2319,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X5,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1404]) ).

fof(c_0_2320,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X5,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1405]) ).

fof(c_0_2321,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oinverse__class_Oinverse(X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1406]) ).

fof(c_0_2322,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X5,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1407]) ).

fof(c_0_2323,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oinverse__class_Oinverse(X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1408]) ).

fof(c_0_2324,plain,
    ! [X10,X11,X12] :
      ( ~ class_RealVector_Oreal__normed__algebra(X12)
      | c_HOL_Otimes__class_Otimes(X10,c_HOL_Ouminus__class_Ouminus(X11,X12),X12) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X10,X11,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1409]) ).

fof(c_0_2325,plain,
    ! [X5,X6,X7] :
      ( ~ class_RealVector_Oreal__normed__algebra(X7)
      | c_HOL_Otimes__class_Otimes(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1410]) ).

fof(c_0_2326,plain,
    ! [X8,X9,X10] :
      ( ~ class_RealVector_Oreal__normed__algebra(X10)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X9,X10),X8,X10) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X9,X8,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1411]) ).

fof(c_0_2327,plain,
    ! [X5,X6,X7] :
      ( ~ class_RealVector_Oreal__normed__algebra(X7)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1412]) ).

fof(c_0_2328,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Ofield(X7)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1413]) ).

fof(c_0_2329,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oring(X7)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) = c_HOL_Otimes__class_Otimes(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1414]) ).

fof(c_0_2330,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oring(X7)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1415]) ).

fof(c_0_2331,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Oreal__vector(X8)
      | c_RealVector_OscaleR__class_OscaleR(X7,c_HOL_Ouminus__class_Ouminus(X6,X8),X8) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X7,X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_1416]) ).

fof(c_0_2332,plain,
    ! [X5,X6,X7] :
      ( ~ class_RealVector_Oreal__normed__vector(X7)
      | c_RealVector_OscaleR__class_OscaleR(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X6,X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1417]) ).

fof(c_0_2333,plain,
    ! [X8,X9,X10] :
      ( ~ class_RealVector_Oreal__normed__field(X10)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X9,X10),X8,X10) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X9,X8,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1418]) ).

fof(c_0_2334,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Oreal__vector(X8)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal),X6,X8) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X7,X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_1419]) ).

fof(c_0_2335,plain,
    ! [X10,X11,X12] :
      ( ~ class_RealVector_Oreal__vector(X12)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X11,tc_RealDef_Oreal),X10,X12) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X11,X10,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_1420]) ).

fof(c_0_2336,plain,
    ! [X5,X6,X7] :
      ( ~ class_RealVector_Oreal__normed__vector(X7)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X6,tc_RealDef_Oreal),X5,X7) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X6,X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1421]) ).

fof(c_0_2337,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1422]) ).

fof(c_0_2338,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__idom(X6)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X5,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1423]) ).

fof(c_0_2339,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__idom(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Osgn__class_Osgn(X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1424]) ).

fof(c_0_2340,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ouminus__class_Ouminus(X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1425]) ).

fof(c_0_2341,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1426]) ).

fof(c_0_2342,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ouminus__class_Ouminus(X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1427]) ).

fof(c_0_2343,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Opreorder(X10)
      | c_HOL_Oord__class_Oless(X9,X8,X10)
      | c_lessequals(X8,X9,X10)
      | ~ c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1428]) ).

fof(c_0_2344,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,X7),c_HOL_Ouminus__class_Ouminus(X6,X7),X7)
      | ~ c_HOL_Oord__class_Oless(X6,X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1429]) ).

fof(c_0_2345,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X7),c_HOL_Ouminus__class_Ouminus(X6,X7),X7)
      | ~ c_lessequals(X6,X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1430]) ).

fof(c_0_2346,plain,
    ! [X5] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X5),c_HOL_Oone__class_Oone(X5),X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1431]) ).

fof(c_0_2347,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X6,X7),c_HOL_Oone__class_Oone(X7),X7)
      | ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1432]) ).

fof(c_0_2348,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X6,X7),c_HOL_Oone__class_Oone(X7),X7)
      | ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1433]) ).

fof(c_0_2349,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oinverse__class_Oinverse(X5,X6),X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1434]) ).

fof(c_0_2350,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X6,X7),c_HOL_Oone__class_Oone(X7),X7)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1435]) ).

fof(c_0_2351,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X5,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1436]) ).

fof(c_0_2352,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X5,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1437]) ).

fof(c_0_2353,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oinverse__class_Oinverse(X5,X6),X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1438]) ).

fof(c_0_2354,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__field(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X6,X7),c_HOL_Oone__class_Oone(X7),X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1439]) ).

fof(c_0_2355,plain,
    ! [X12,X13] :
      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X13,tc_RealDef_Oreal),X12,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X12,tc_RealDef_Oreal),X13,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1440]) ).

fof(c_0_2356,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oidom(X7)
      | c_HOL_Otimes__class_Otimes(X6,X6,X7) != c_HOL_Otimes__class_Otimes(X5,X5,X7)
      | X6 = c_HOL_Ouminus__class_Ouminus(X5,X7)
      | X6 = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1441]) ).

fof(c_0_2357,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Ogroup__add(X7)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X6,X7),c_HOL_Oplus__class_Oplus(X6,X5,X7),X7) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1442]) ).

fof(c_0_2358,plain,
    ! [X8,X9,X10] :
      ( ~ class_OrderedGroup_Oab__group__add(X10)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X8,X10),c_HOL_Oplus__class_Oplus(X9,X8,X10),X10) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_1443]) ).

fof(c_0_2359,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(X5,c_HOL_Ouminus__class_Ouminus(X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1444]) ).

fof(c_0_2360,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1445]) ).

fof(c_0_2361,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X6)
      | c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(X5,c_HOL_Ouminus__class_Ouminus(X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1446]) ).

fof(c_0_2362,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6)
      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1447]) ).

fof(c_0_2363,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__idom(X6)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ouminus__class_Ouminus(X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1448]) ).

fof(c_0_2364,plain,
    ! [X17,X18] :
      ( ~ class_Ring__and__Field_Ofield(X18)
      | ~ class_Ring__and__Field_Odivision__by__zero(X18)
      | c_HOL_Ozero__class_Ozero(X18) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X18),X17,X18),X17,X18) ),
    inference(variable_rename,[status(thm)],[c_0_1449]) ).

fof(c_0_2365,plain,
    ! [X17,X18] :
      ( ~ class_Ring__and__Field_Ofield(X18)
      | ~ class_Ring__and__Field_Odivision__by__zero(X18)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X18),X17,X18),X17,X18) = c_HOL_Ozero__class_Ozero(X18) ),
    inference(variable_rename,[status(thm)],[c_0_1450]) ).

fof(c_0_2366,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1451]) ).

fof(c_0_2367,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__idom(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X5,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1452]) ).

fof(c_0_2368,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__idom(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Osgn__class_Osgn(X5,X6),X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1453]) ).

fof(c_0_2369,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ouminus__class_Ouminus(X5,X6),X6)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1454]) ).

fof(c_0_2370,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1455]) ).

fof(c_0_2371,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X5,X6),c_HOL_Ozero__class_Ozero(X6),X6)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1456]) ).

fof(c_0_2372,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oinverse__class_Oinverse(X5,X6),X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1457]) ).

fof(c_0_2373,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ouminus__class_Ouminus(X5,X6),X6)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1458]) ).

fof(c_0_2374,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Ofield(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) = c_HOL_Oinverse__class_Odivide(X5,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1459]) ).

fof(c_0_2375,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X7)
      | c_lessequals(X6,X5,X7)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X6,X7),X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1460]) ).

fof(c_0_2376,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__idom(X7)
      | c_HOL_Oord__class_Oless(X6,X5,X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X6,X7),X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1461]) ).

fof(c_0_2377,plain,
    ! [X22,X23,X24] :
      ( ~ class_Ring__and__Field_Oordered__idom(X24)
      | c_Ring__and__Field_Odvd__class_Odvd(X22,X23,X24)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X22,X24),X23,X24) ),
    inference(variable_rename,[status(thm)],[c_0_1462]) ).

fof(c_0_2378,plain,
    ! [X22,X23,X24] :
      ( ~ class_Ring__and__Field_Oordered__idom(X24)
      | c_Ring__and__Field_Odvd__class_Odvd(X22,X23,X24)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X22,c_HOL_Oabs__class_Oabs(X23,X24),X24) ),
    inference(variable_rename,[status(thm)],[c_0_1463]) ).

fof(c_0_2379,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X10)
      | c_Ring__and__Field_Odvd__class_Odvd(X9,X8,X10)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X9,X10),X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1464]) ).

fof(c_0_2380,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X10)
      | c_Ring__and__Field_Odvd__class_Odvd(X9,X8,X10)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,c_HOL_Ouminus__class_Ouminus(X8,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1465]) ).

fof(c_0_2381,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_Ring__and__Field_Oidom(X11)
      | ~ class_Int_Onumber__ring(X11)
      | c_HOL_Oplus__class_Oplus(X10,X9,X11) != c_HOL_Oplus__class_Oplus(X10,X8,X11)
      | X9 = X8 ),
    inference(variable_rename,[status(thm)],[c_0_1466]) ).

fof(c_0_2382,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_RealVector_Oreal__vector(X9)
      | c_RealVector_OscaleR__class_OscaleR(X8,X6,X9) != c_RealVector_OscaleR__class_OscaleR(X7,X6,X9)
      | X6 = c_HOL_Ozero__class_Ozero(X9)
      | X8 = X7 ),
    inference(variable_rename,[status(thm)],[c_0_1467]) ).

fof(c_0_2383,plain,
    ! [X8,X9,X10,X11] :
      ( ~ class_RealVector_Oreal__vector(X11)
      | c_RealVector_OscaleR__class_OscaleR(X10,X9,X11) != c_RealVector_OscaleR__class_OscaleR(X10,X8,X11)
      | X10 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X9 = X8 ),
    inference(variable_rename,[status(thm)],[c_0_1468]) ).

fof(c_0_2384,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
      | c_lessequals(X5,c_HOL_Ouminus__class_Ouminus(X5,X6),X6)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1469]) ).

fof(c_0_2385,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X6),X5,X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1470]) ).

fof(c_0_2386,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X6)
      | c_lessequals(X5,c_HOL_Ouminus__class_Ouminus(X5,X6),X6)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1471]) ).

fof(c_0_2387,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X6)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X6),X5,X6)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1472]) ).

fof(c_0_2388,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__idom(X6)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Ouminus__class_Ouminus(X5,X6),X6)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1473]) ).

fof(c_0_2389,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Oab__group__add(X7)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X6,X5,X7),X7) = c_HOL_Ominus__class_Ominus(X5,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1474]) ).

fof(c_0_2390,plain,
    ! [X17,X18,X19] :
      ( ~ class_Ring__and__Field_Ofield(X19)
      | ~ class_Ring__and__Field_Odivision__by__zero(X19)
      | X18 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X18,X17,X19),X17,X19)
      | X17 = c_HOL_Ozero__class_Ozero(X19) ),
    inference(variable_rename,[status(thm)],[c_0_1475]) ).

fof(c_0_2391,plain,
    ! [X17,X18,X19] :
      ( ~ class_Ring__and__Field_Ofield(X19)
      | ~ class_Ring__and__Field_Odivision__by__zero(X19)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X18,X17,X19),X17,X19) = X18
      | X17 = c_HOL_Ozero__class_Ozero(X19) ),
    inference(variable_rename,[status(thm)],[c_0_1476]) ).

fof(c_0_2392,plain,
    ! [X17,X18,X19] :
      ( ~ class_Ring__and__Field_Ofield(X19)
      | ~ class_Ring__and__Field_Odivision__by__zero(X19)
      | X18 = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X18,X17,X19),X17,X19)
      | X17 = c_HOL_Ozero__class_Ozero(X19) ),
    inference(variable_rename,[status(thm)],[c_0_1477]) ).

fof(c_0_2393,plain,
    ! [X17,X18,X19] :
      ( ~ class_Ring__and__Field_Ofield(X19)
      | ~ class_Ring__and__Field_Odivision__by__zero(X19)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X18,X17,X19),X17,X19) = X18
      | X17 = c_HOL_Ozero__class_Ozero(X19) ),
    inference(variable_rename,[status(thm)],[c_0_1478]) ).

fof(c_0_2394,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Oorder(X10)
      | X9 = X8
      | ~ c_lessequals(X9,X8,X10)
      | ~ c_lessequals(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1479]) ).

fof(c_0_2395,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Oorder(X10)
      | X9 = X8
      | ~ c_lessequals(X8,X9,X10)
      | ~ c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1480]) ).

fof(c_0_2396,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Oorder(X10)
      | X9 = X8
      | ~ c_lessequals(X8,X9,X10)
      | ~ c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1481]) ).

fof(c_0_2397,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X6)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Oplus__class_Oplus(X5,c_HOL_Oone__class_Oone(X6),X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1482]) ).

fof(c_0_2398,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X20)
      | c_HOL_Oplus__class_Oplus(X19,X18,X20) != c_HOL_Oplus__class_Oplus(X19,X17,X20)
      | X18 = X17 ),
    inference(variable_rename,[status(thm)],[c_0_1483]) ).

fof(c_0_2399,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X20)
      | c_HOL_Oplus__class_Oplus(X19,X18,X20) != c_HOL_Oplus__class_Oplus(X19,X17,X20)
      | X18 = X17 ),
    inference(variable_rename,[status(thm)],[c_0_1484]) ).

fof(c_0_2400,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X20)
      | c_HOL_Oplus__class_Oplus(X18,X19,X20) != c_HOL_Oplus__class_Oplus(X17,X19,X20)
      | X18 = X17 ),
    inference(variable_rename,[status(thm)],[c_0_1485]) ).

fof(c_0_2401,plain,
    ! [X29,X30,X31,X32] :
      ( ~ class_OrderedGroup_Oab__group__add(X32)
      | c_HOL_Ominus__class_Ominus(X31,X31,X32) != c_HOL_Ominus__class_Ominus(X30,X29,X32)
      | X30 = X29 ),
    inference(variable_rename,[status(thm)],[c_0_1486]) ).

fof(c_0_2402,plain,
    ! [X10,X11,X12,X13] :
      ( ~ class_OrderedGroup_Oab__group__add(X13)
      | c_HOL_Ominus__class_Ominus(X11,X10,X13) != c_HOL_Ominus__class_Ominus(X12,X12,X13)
      | X11 = X10 ),
    inference(variable_rename,[status(thm)],[c_0_1487]) ).

fof(c_0_2403,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Opreorder(X10)
      | ~ c_lessequals(X8,X9,X10)
      | ~ c_HOL_Oord__class_Oless(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1488]) ).

fof(c_0_2404,plain,
    ! [X6,X7] :
      ( ~ class_Orderings_Olinorder(X7)
      | ~ c_lessequals(X6,X6,X7)
      | ~ c_HOL_Oord__class_Oless(X6,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1489]) ).

fof(c_0_2405,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | ~ c_HOL_Oord__class_Oless(X9,X8,X10)
      | ~ c_lessequals(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1490]) ).

fof(c_0_2406,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | ~ c_lessequals(X9,X8,X10)
      | ~ c_HOL_Oord__class_Oless(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1491]) ).

fof(c_0_2407,plain,
    ! [X5,X6,X7] :
      ( ~ class_Orderings_Opreorder(X7)
      | ~ c_HOL_Oord__class_Oless(X5,X6,X7)
      | ~ c_HOL_Oord__class_Oless(X6,X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1492]) ).

fof(c_0_2408,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Opreorder(X10)
      | ~ c_HOL_Oord__class_Oless(X8,X9,X10)
      | ~ c_HOL_Oord__class_Oless(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1493]) ).

fof(c_0_2409,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | ~ c_HOL_Oord__class_Oless(X9,X8,X10)
      | ~ c_HOL_Oord__class_Oless(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1494]) ).

fof(c_0_2410,plain,
    ! [X5,X6,X7] :
      ( ~ class_Orderings_Oorder(X7)
      | ~ c_HOL_Oord__class_Oless(X6,X5,X7)
      | ~ c_HOL_Oord__class_Oless(X5,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1495]) ).

fof(c_0_2411,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Ofield(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X6,X7),c_HOL_Ouminus__class_Ouminus(X5,X7),X7) = c_HOL_Oinverse__class_Odivide(X6,X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1496]) ).

fof(c_0_2412,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X5,X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1497]) ).

fof(c_0_2413,plain,
    ! [X17,X18,X19] :
      ( ~ class_Ring__and__Field_Ofield(X19)
      | X17 = c_HOL_Ozero__class_Ozero(X19)
      | X18 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X18,X17,X19),X17,X19) ),
    inference(variable_rename,[status(thm)],[c_0_1498]) ).

fof(c_0_2414,plain,
    ! [X17,X18,X19] :
      ( ~ class_Ring__and__Field_Ofield(X19)
      | X17 = c_HOL_Ozero__class_Ozero(X19)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X18,X17,X19),X17,X19) = X18 ),
    inference(variable_rename,[status(thm)],[c_0_1499]) ).

fof(c_0_2415,plain,
    ! [X22,X23,X24] :
      ( ~ class_Ring__and__Field_Oordered__idom(X24)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X22,X24),X23,X24)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X22,X23,X24) ),
    inference(variable_rename,[status(thm)],[c_0_1500]) ).

fof(c_0_2416,plain,
    ! [X22,X23,X24] :
      ( ~ class_Ring__and__Field_Oordered__idom(X24)
      | c_Ring__and__Field_Odvd__class_Odvd(X22,c_HOL_Oabs__class_Oabs(X23,X24),X24)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X22,X23,X24) ),
    inference(variable_rename,[status(thm)],[c_0_1501]) ).

fof(c_0_2417,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X10)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X9,X10),X8,X10)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1502]) ).

fof(c_0_2418,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X10)
      | c_Ring__and__Field_Odvd__class_Odvd(X9,c_HOL_Ouminus__class_Ouminus(X8,X10),X10)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1503]) ).

fof(c_0_2419,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Ofield(X7)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X6,X7),c_HOL_Ouminus__class_Ouminus(X5,X7),X7) = c_HOL_Oinverse__class_Odivide(X6,X5,X7)
      | X5 = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1504]) ).

fof(c_0_2420,plain,
    ! [X12,X13] :
      ( c_lessequals(X12,X13,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X12,tc_RealDef_Oreal),X13,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1505]) ).

fof(c_0_2421,plain,
    ! [X5,X6,X7] :
      ( ~ class_Divides_Osemiring__div(X7)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X6,X7),X5,X7) = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1506]) ).

fof(c_0_2422,plain,
    ! [X5,X6,X7] :
      ( ~ class_Divides_Osemiring__div(X7)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X6,X5,X7),X5,X7) = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1507]) ).

fof(c_0_2423,plain,
    ! [X11,X12] :
      ( X11 = X12
      | ~ c_lessequals(X12,X11,tc_RealDef_Oreal)
      | ~ c_lessequals(X11,X12,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1508]) ).

fof(c_0_2424,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Ogroup__add(X7)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X6,X5,X7),X5,X7) = X6 ),
    inference(variable_rename,[status(thm)],[c_0_1509]) ).

fof(c_0_2425,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Ogroup__add(X7)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X6,X5,X7),X5,X7) = X6 ),
    inference(variable_rename,[status(thm)],[c_0_1510]) ).

fof(c_0_2426,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X7)
      | c_Ring__and__Field_Odvd__class_Odvd(X6,c_HOL_Otimes__class_Otimes(X5,X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1511]) ).

fof(c_0_2427,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X7)
      | c_Ring__and__Field_Odvd__class_Odvd(X6,c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1512]) ).

fof(c_0_2428,plain,
    ! [X16,X17,X18] :
      ( ~ class_Ring__and__Field_Odvd(X18)
      | c_Ring__and__Field_Odvd__class_Odvd(X17,c_HOL_Otimes__class_Otimes(X17,X16,X18),X18) ),
    inference(variable_rename,[status(thm)],[c_0_1513]) ).

fof(c_0_2429,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__idom(X6)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X5,X6),c_HOL_Oabs__class_Oabs(X5,X6),X6) = c_HOL_Otimes__class_Otimes(X5,X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1514]) ).

fof(c_0_2430,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oring(X7)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7) = c_HOL_Otimes__class_Otimes(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1515]) ).

fof(c_0_2431,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oring(X7)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X6,X7),c_HOL_Ouminus__class_Ouminus(X5,X7),X7) = c_HOL_Otimes__class_Otimes(X6,X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1516]) ).

fof(c_0_2432,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oidom(X6)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X5,X6),c_HOL_Ouminus__class_Ouminus(X5,X6),X6) = c_HOL_Otimes__class_Otimes(X5,X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1517]) ).

fof(c_0_2433,plain,
    ! [X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X5),X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1518]) ).

fof(c_0_2434,plain,
    ! [X8,X9] :
      ( c_lessequals(X9,X8,tc_RealDef_Oreal)
      | ~ c_lessequals(c_NthRoot_Osqrt(X9),c_NthRoot_Osqrt(X8),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1519]) ).

fof(c_0_2435,plain,
    ! [X8,X9] :
      ( c_HOL_Oord__class_Oless(X9,X8,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X9),c_NthRoot_Osqrt(X8),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1520]) ).

fof(c_0_2436,plain,
    ! [X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X5),X5),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1521]) ).

fof(c_0_2437,plain,
    ! [X8] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X8),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1522]) ).

fof(c_0_2438,plain,
    ! [X6] :
      ( c_lessequals(X6,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_NthRoot_Osqrt(X6),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1523]) ).

fof(c_0_2439,plain,
    ! [X8] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X8),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1524]) ).

fof(c_0_2440,plain,
    ! [X6] :
      ( c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X6),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1525]) ).

fof(c_0_2441,plain,
    ! [X8] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X8),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1526]) ).

fof(c_0_2442,plain,
    ! [X8] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X8),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1527]) ).

fof(c_0_2443,plain,
    ! [X6] :
      ( c_HOL_Oord__class_Oless(X6,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X6),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1528]) ).

fof(c_0_2444,plain,
    ! [X6] :
      ( c_lessequals(X6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(c_NthRoot_Osqrt(X6),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1529]) ).

fof(c_0_2445,plain,
    ! [X5,X6,X7] :
      ( ~ class_Divides_Osemiring__div(X7)
      | c_Divides_Odiv__class_Omod(X5,X6,X7) != c_HOL_Ozero__class_Ozero(X7)
      | c_Ring__and__Field_Odvd__class_Odvd(X6,X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1530]) ).

fof(c_0_2446,plain,
    ! [X5,X6,X7] :
      ( ~ class_Divides_Osemiring__div(X7)
      | c_Divides_Odiv__class_Omod(X5,X6,X7) = c_HOL_Ozero__class_Ozero(X7)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X6,X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1531]) ).

fof(c_0_2447,plain,
    ! [X6] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X6),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1532]) ).

fof(c_0_2448,plain,
    ! [X8] :
      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X8),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1533]) ).

fof(c_0_2449,plain,
    ! [X6] :
      ( c_lessequals(c_NthRoot_Osqrt(X6),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X6,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1534]) ).

fof(c_0_2450,plain,
    ! [X8] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X8),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1535]) ).

fof(c_0_2451,plain,
    ! [X6] :
      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X6),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1536]) ).

fof(c_0_2452,plain,
    ! [X6] :
      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X6),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1537]) ).

fof(c_0_2453,plain,
    ! [X8] :
      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X8),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1538]) ).

fof(c_0_2454,plain,
    ! [X8] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X8),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1539]) ).

fof(c_0_2455,plain,
    ! [X6] :
      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X6),tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1540]) ).

fof(c_0_2456,plain,
    ! [X6] :
      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X6),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X6,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1541]) ).

fof(c_0_2457,plain,
    ! [X6] :
      ( c_lessequals(c_NthRoot_Osqrt(X6),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1542]) ).

fof(c_0_2458,plain,
    ! [X5,X6,X7] :
      ( ~ class_Orderings_Oorder(X7)
      | c_HOL_Oord__class_Oless(X6,X5,X7)
      | X6 = X5
      | ~ c_lessequals(X6,X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1543]) ).

fof(c_0_2459,plain,
    ! [X5,X6,X7] :
      ( ~ class_Orderings_Oorder(X7)
      | c_HOL_Oord__class_Oless(X6,X5,X7)
      | ~ c_lessequals(X6,X5,X7)
      | X6 = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1544]) ).

fof(c_0_2460,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | X9 = X8
      | ~ c_lessequals(X9,X8,X10)
      | c_HOL_Oord__class_Oless(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1545]) ).

fof(c_0_2461,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | X9 = X8
      | c_HOL_Oord__class_Oless(X9,X8,X10)
      | ~ c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1546]) ).

fof(c_0_2462,plain,
    ! [X5,X6,X7] :
      ( ~ class_Orderings_Oorder(X7)
      | c_HOL_Oord__class_Oless(X5,X6,X7)
      | ~ c_lessequals(X5,X6,X7)
      | X6 = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1547]) ).

fof(c_0_2463,plain,
    ! [X5,X6,X7] :
      ( ~ class_Orderings_Oorder(X7)
      | c_HOL_Oord__class_Oless(X5,X6,X7)
      | X6 = X5
      | ~ c_lessequals(X5,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1548]) ).

fof(c_0_2464,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Oorder(X10)
      | X9 = X8
      | c_HOL_Oord__class_Oless(X9,X8,X10)
      | ~ c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1549]) ).

fof(c_0_2465,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Oorder(X10)
      | c_HOL_Oord__class_Oless(X9,X8,X10)
      | X9 = X8
      | ~ c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1550]) ).

fof(c_0_2466,plain,
    ! [X8,X9] :
      ( c_lessequals(c_Transcendental_Oarctan(X9),c_Transcendental_Oarctan(X8),tc_RealDef_Oreal)
      | ~ c_lessequals(X9,X8,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1551]) ).

fof(c_0_2467,plain,
    ! [X8,X9] :
      ( c_lessequals(c_NthRoot_Osqrt(X9),c_NthRoot_Osqrt(X8),tc_RealDef_Oreal)
      | ~ c_lessequals(X9,X8,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1552]) ).

fof(c_0_2468,plain,
    ! [X8,X9] :
      ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X9),c_Transcendental_Oarctan(X8),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X9,X8,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1553]) ).

fof(c_0_2469,plain,
    ! [X8,X9] :
      ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X9),c_NthRoot_Osqrt(X8),tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X9,X8,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1554]) ).

fof(c_0_2470,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Ofield(X10)
      | ~ class_Int_Onumber__ring(X10)
      | c_HOL_Oinverse__class_Odivide(X9,X8,X10) = c_HOL_Otimes__class_Otimes(X9,c_HOL_Oinverse__class_Oinverse(X8,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1555]) ).

fof(c_0_2471,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6)
      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X5,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1556]) ).

fof(c_0_2472,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Oorder(X10)
      | c_lessequals(X9,X8,X10)
      | ~ c_HOL_Oord__class_Oless(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1557]) ).

fof(c_0_2473,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Opreorder(X10)
      | c_lessequals(X9,X8,X10)
      | ~ c_HOL_Oord__class_Oless(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1558]) ).

fof(c_0_2474,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X5,X6),X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1559]) ).

fof(c_0_2475,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X5,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1560]) ).

fof(c_0_2476,plain,
    ! [X8,X9,X10] :
      ( ~ class_OrderedGroup_Oab__group__add(X10)
      | c_HOL_Ominus__class_Ominus(X9,X8,X10) = c_HOL_Oplus__class_Oplus(X9,c_HOL_Ouminus__class_Ouminus(X8,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1561]) ).

fof(c_0_2477,plain,
    ! [X8,X9,X10] :
      ( ~ class_Int_Onumber__ring(X10)
      | c_HOL_Ominus__class_Ominus(X9,X8,X10) = c_HOL_Oplus__class_Oplus(X9,c_HOL_Ouminus__class_Ouminus(X8,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_1562]) ).

fof(c_0_2478,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Ogroup__add(X7)
      | c_HOL_Ominus__class_Ominus(X6,X5,X7) = c_HOL_Oplus__class_Oplus(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1563]) ).

fof(c_0_2479,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Oab__group__add(X7)
      | c_HOL_Ominus__class_Ominus(X6,X5,X7) = c_HOL_Oplus__class_Oplus(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1564]) ).

fof(c_0_2480,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__algebra__1(X14)
      | c_RealVector_OscaleR__class_OscaleR(X13,X12,X14) = c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X13,X14),X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_1565]) ).

fof(c_0_2481,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Ogroup__add(X7)
      | c_HOL_Ominus__class_Ominus(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7) = c_HOL_Oplus__class_Oplus(X6,X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1566]) ).

fof(c_0_2482,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Ofield(X7)
      | c_HOL_Oinverse__class_Odivide(X6,X5,X7) = c_HOL_Otimes__class_Otimes(X6,c_HOL_Oinverse__class_Oinverse(X5,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1567]) ).

fof(c_0_2483,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__normed__vector(X7)
      | X6 = c_HOL_Ozero__class_Ozero(X7)
      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X6,X7),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1568]) ).

fof(c_0_2484,plain,
    ! [X8,X9] :
      ( c_HOL_Oord__class_Oless(X9,X8,tc_RealDef_Oreal)
      | X9 = X8
      | ~ c_lessequals(X9,X8,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1569]) ).

fof(c_0_2485,plain,
    ! [X5,X6] :
      ( ~ class_Orderings_Olinorder(X6)
      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X6)
      | c_HOL_Oabs__class_Oabs(X5,X6) = c_HOL_Ouminus__class_Ouminus(X5,X6)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1570]) ).

fof(c_0_2486,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__idom(X6)
      | c_HOL_Osgn__class_Osgn(X5,X6) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X6),X6)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1571]) ).

fof(c_0_2487,plain,
    ! [X8,X9] :
      ( c_lessequals(X9,X8,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X9,X8,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1572]) ).

fof(c_0_2488,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__normed__vector(X7)
      | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X6,X7),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1573]) ).

fof(c_0_2489,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
      | c_HOL_Oabs__class_Oabs(X5,X6) = c_HOL_Ouminus__class_Ouminus(X5,X6)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1574]) ).

fof(c_0_2490,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oabs__if(X6)
      | c_HOL_Oabs__class_Oabs(X5,X6) = c_HOL_Ouminus__class_Ouminus(X5,X6)
      | ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1575]) ).

fof(c_0_2491,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
      | c_HOL_Oabs__class_Oabs(X5,X6) = c_HOL_Ouminus__class_Ouminus(X5,X6)
      | ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1576]) ).

fof(c_0_2492,plain,
    ! [X5,X6,X7] :
      ( ~ class_RealVector_Oreal__vector(X7)
      | c_RealVector_OscaleR__class_OscaleR(X6,c_HOL_Ozero__class_Ozero(X7),X7) = c_RealVector_OscaleR__class_OscaleR(X5,c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1577]) ).

fof(c_0_2493,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Osgn__if(X7)
      | c_HOL_Osgn__class_Osgn(X6,X7) = c_HOL_Oone__class_Oone(X7)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7)
      | X6 = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1578]) ).

fof(c_0_2494,plain,
    ! [X6,X7] :
      ( c_HOL_Oplus__class_Oplus(X6,c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X6 = X7 ),
    inference(variable_rename,[status(thm)],[c_0_1579]) ).

fof(c_0_2495,plain,
    ! [X8,X9,X10] :
      ( ~ class_RealVector_Oreal__vector(X10)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X9,X10) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1580]) ).

fof(c_0_2496,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__idom(X6)
      | c_HOL_Osgn__class_Osgn(X5,X6) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X6),X6)
      | c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1581]) ).

fof(c_0_2497,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__idom(X6)
      | c_HOL_Osgn__class_Osgn(X5,X6) = c_HOL_Oone__class_Oone(X6)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1582]) ).

fof(c_0_2498,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__idom(X10)
      | c_HOL_Oord__class_Oless(X8,X9,X10)
      | c_HOL_Oord__class_Oless(X9,X8,X10)
      | X9 = X8 ),
    inference(variable_rename,[status(thm)],[c_0_1583]) ).

fof(c_0_2499,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | X9 = X8
      | c_HOL_Oord__class_Oless(X8,X9,X10)
      | c_HOL_Oord__class_Oless(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1584]) ).

fof(c_0_2500,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | X9 = X8
      | c_HOL_Oord__class_Oless(X9,X8,X10)
      | c_HOL_Oord__class_Oless(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1585]) ).

fof(c_0_2501,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | c_HOL_Oord__class_Oless(X8,X9,X10)
      | X9 = X8
      | c_HOL_Oord__class_Oless(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1586]) ).

fof(c_0_2502,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | c_HOL_Oord__class_Oless(X8,X9,X10)
      | c_HOL_Oord__class_Oless(X9,X8,X10)
      | X9 = X8 ),
    inference(variable_rename,[status(thm)],[c_0_1587]) ).

fof(c_0_2503,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
      | c_HOL_Oabs__class_Oabs(X5,X6) = X5
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1588]) ).

fof(c_0_2504,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
      | c_HOL_Oabs__class_Oabs(X5,X6) = X5
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1589]) ).

fof(c_0_2505,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | c_HOL_Oord__class_Oless(X9,X8,X10)
      | c_lessequals(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1590]) ).

fof(c_0_2506,plain,
    ! [X6,X7] :
      ( ~ class_Orderings_Olinorder(X7)
      | c_HOL_Oord__class_Oless(X6,X6,X7)
      | c_lessequals(X6,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1591]) ).

fof(c_0_2507,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | c_lessequals(X8,X9,X10)
      | c_HOL_Oord__class_Oless(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1592]) ).

fof(c_0_2508,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | c_HOL_Oord__class_Oless(X8,X9,X10)
      | c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1593]) ).

fof(c_0_2509,plain,
    ! [X8,X9,X10] :
      ( ~ class_Orderings_Olinorder(X10)
      | c_lessequals(X8,X9,X10)
      | c_lessequals(X9,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1594]) ).

fof(c_0_2510,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X10)
      | c_HOL_Otimes__class_Otimes(X9,X8,X10) = c_HOL_Otimes__class_Otimes(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1595]) ).

fof(c_0_2511,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X7)
      | c_HOL_Otimes__class_Otimes(X6,X5,X7) = c_HOL_Otimes__class_Otimes(X5,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1596]) ).

fof(c_0_2512,plain,
    ! [X17,X18,X19] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X19)
      | c_HOL_Oplus__class_Oplus(X18,X17,X19) = c_HOL_Oplus__class_Oplus(X17,X18,X19) ),
    inference(variable_rename,[status(thm)],[c_0_1597]) ).

fof(c_0_2513,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X10)
      | c_HOL_Oplus__class_Oplus(X9,X8,X10) = c_HOL_Oplus__class_Oplus(X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_1598]) ).

fof(c_0_2514,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X7)
      | c_HOL_Oplus__class_Oplus(X6,X5,X7) = c_HOL_Oplus__class_Oplus(X5,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1599]) ).

fof(c_0_2515,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Odivision__ring(X7)
      | c_HOL_Otimes__class_Otimes(X6,X5,X7) != c_HOL_Oone__class_Oone(X7)
      | c_HOL_Oinverse__class_Oinverse(X6,X7) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1600]) ).

fof(c_0_2516,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oordered__idom(X7)
      | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X6,X7),c_HOL_Oabs__class_Oabs(X6,X7),X7) = X6 ),
    inference(variable_rename,[status(thm)],[c_0_1601]) ).

fof(c_0_2517,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Ogroup__add(X7)
      | c_HOL_Oplus__class_Oplus(X6,X5,X7) != c_HOL_Ozero__class_Ozero(X7)
      | c_HOL_Ouminus__class_Ouminus(X6,X7) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1602]) ).

fof(c_0_2518,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Ogroup__add(X7)
      | c_HOL_Oplus__class_Oplus(X6,X5,X7) != c_HOL_Ozero__class_Ozero(X7)
      | X6 = c_HOL_Ouminus__class_Ouminus(X5,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1603]) ).

fof(c_0_2519,plain,
    ! [X6,X7] :
      ( ~ class_Int_Onumber__ring(X7)
      | c_HOL_Ouminus__class_Ouminus(X6,X7) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X7),X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1604]) ).

fof(c_0_2520,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X6),c_HOL_Oabs__class_Oabs(X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1605]) ).

fof(c_0_2521,plain,
    ! [X12] :
      ( c_HOL_Oabs__class_Oabs(X12,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X12,tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(X12,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1606]) ).

fof(c_0_2522,plain,
    ! [X5] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X5)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X5),c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1607]) ).

fof(c_0_2523,plain,
    ! [X5] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X5)
      | ~ c_lessequals(c_HOL_Oone__class_Oone(X5),c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1608]) ).

fof(c_0_2524,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X7)
      | c_HOL_Otimes__class_Otimes(X6,X5,X7) != c_HOL_Ozero__class_Ozero(X7)
      | X5 = c_HOL_Ozero__class_Ozero(X7)
      | X6 = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1609]) ).

fof(c_0_2525,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X7)
      | c_HOL_Otimes__class_Otimes(X6,X5,X7) != c_HOL_Ozero__class_Ozero(X7)
      | X5 = c_HOL_Ozero__class_Ozero(X7)
      | X6 = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1610]) ).

fof(c_0_2526,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X7)
      | c_HOL_Otimes__class_Otimes(X6,X5,X7) != c_HOL_Ozero__class_Ozero(X7)
      | X6 = c_HOL_Ozero__class_Ozero(X7)
      | X5 = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1611]) ).

fof(c_0_2527,plain,
    ! [X8,X9,X10] :
      ( ~ class_Ring__and__Field_Oidom(X10)
      | ~ class_Int_Onumber__ring(X10)
      | c_HOL_Ominus__class_Ominus(X9,X8,X10) != c_HOL_Ozero__class_Ozero(X10)
      | X9 = X8 ),
    inference(variable_rename,[status(thm)],[c_0_1612]) ).

fof(c_0_2528,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Oreal__vector(X8)
      | c_RealVector_OscaleR__class_OscaleR(X7,X6,X8) != c_HOL_Ozero__class_Ozero(X8)
      | X6 = c_HOL_Ozero__class_Ozero(X8)
      | X7 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1613]) ).

fof(c_0_2529,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1614]) ).

fof(c_0_2530,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Osgn__if(X7)
      | c_HOL_Osgn__class_Osgn(X6,X7) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X7),X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7)
      | X6 = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1615]) ).

fof(c_0_2531,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oidom(X8)
      | ~ class_Int_Onumber__ring(X8)
      | X6 != c_HOL_Oplus__class_Oplus(X6,X7,X8)
      | X7 = c_HOL_Ozero__class_Ozero(X8) ),
    inference(variable_rename,[status(thm)],[c_0_1616]) ).

fof(c_0_2532,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Ofield(X7)
      | c_HOL_Oinverse__class_Odivide(X6,X5,X7) != c_HOL_Oone__class_Oone(X7)
      | X5 = c_HOL_Ozero__class_Ozero(X7)
      | X6 = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1617]) ).

fof(c_0_2533,plain,
    ! [X11,X12] :
      ( c_lessequals(X12,X11,tc_RealDef_Oreal)
      | c_lessequals(X11,X12,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1618]) ).

fof(c_0_2534,plain,
    ! [X16,X17,X18] :
      ( ~ class_Ring__and__Field_Oordered__idom(X18)
      | c_HOL_Oabs__class_Oabs(X16,X18) != c_HOL_Oabs__class_Oabs(X17,X18)
      | c_Ring__and__Field_Odvd__class_Odvd(X16,X17,X18) ),
    inference(variable_rename,[status(thm)],[c_0_1619]) ).

fof(c_0_2535,plain,
    ! [X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X5),X5),c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1620]) ).

fof(c_0_2536,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
      | c_HOL_Oplus__class_Oplus(X5,X5,X6) != c_HOL_Ozero__class_Ozero(X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1621]) ).

fof(c_0_2537,plain,
    ! [X6] :
      ( c_NthRoot_Osqrt(X6) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
      | X6 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1622]) ).

fof(c_0_2538,plain,
    ! [X16,X17] :
      ( ~ class_Ring__and__Field_Oordered__idom(X17)
      | c_HOL_Oabs__class_Oabs(X16,X17) = c_HOL_Otimes__class_Otimes(X16,c_HOL_Osgn__class_Osgn(X16,X17),X17) ),
    inference(variable_rename,[status(thm)],[c_0_1623]) ).

fof(c_0_2539,plain,
    ! [X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X5),X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1624]) ).

fof(c_0_2540,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Oab__group__add(X7)
      | c_HOL_Ominus__class_Ominus(X6,X5,X7) != c_HOL_Ozero__class_Ozero(X7)
      | X6 = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1625]) ).

fof(c_0_2541,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Ogroup__add(X7)
      | c_HOL_Ominus__class_Ominus(X6,X5,X7) != c_HOL_Ozero__class_Ozero(X7)
      | X6 = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1626]) ).

fof(c_0_2542,plain,
    ! [X8,X9] :
      ( c_HOL_Oplus__class_Oplus(X9,X8,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X8 = c_HOL_Ouminus__class_Ouminus(X9,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1627]) ).

fof(c_0_2543,plain,
    ! [X6] :
      ( c_NthRoot_Osqrt(X6) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1628]) ).

fof(c_0_2544,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oabs__class_Oabs(X5,X6),X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1629]) ).

fof(c_0_2545,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Ofield(X6)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X5,X6),X5,X6) = c_HOL_Oone__class_Oone(X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1630]) ).

fof(c_0_2546,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Odivision__ring(X6)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X5,X6),X5,X6) = c_HOL_Oone__class_Oone(X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1631]) ).

fof(c_0_2547,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Odivision__ring(X6)
      | c_HOL_Otimes__class_Otimes(X5,c_HOL_Oinverse__class_Oinverse(X5,X6),X6) = c_HOL_Oone__class_Oone(X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1632]) ).

fof(c_0_2548,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__idom(X6)
      | c_HOL_Osgn__class_Osgn(X5,X6) != c_HOL_Oone__class_Oone(X6)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1633]) ).

fof(c_0_2549,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__normed__vector(X7)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X7),tc_RealDef_Oreal)
      | X6 = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1634]) ).

fof(c_0_2550,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X5,X6),X6) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1635]) ).

fof(c_0_2551,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Odivision__ring(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X5,X6),X6) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1636]) ).

fof(c_0_2552,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oabs__class_Oabs(X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1637]) ).

fof(c_0_2553,plain,
    ! [X6,X7] :
      ( ~ class_Orderings_Olinorder(X7)
      | ~ c_HOL_Oord__class_Oless(X6,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1638]) ).

fof(c_0_2554,plain,
    ! [X6,X7] :
      ( ~ class_Orderings_Oorder(X7)
      | ~ c_HOL_Oord__class_Oless(X6,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1639]) ).

fof(c_0_2555,plain,
    ! [X6,X7] :
      ( ~ class_Orderings_Opreorder(X7)
      | ~ c_HOL_Oord__class_Oless(X6,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1640]) ).

fof(c_0_2556,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__field(X6)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X5,X6),X6) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X5,X6),X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1641]) ).

fof(c_0_2557,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Odivision__ring(X6)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X5,X6),X6) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X5,X6),X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1642]) ).

fof(c_0_2558,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Ogroup__add(X6)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X5,X6),X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1643]) ).

fof(c_0_2559,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Oab__group__add(X6)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X5,X6),X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1644]) ).

fof(c_0_2560,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Ogroup__add(X6)
      | c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X5,X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1645]) ).

fof(c_0_2561,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Ogroup__add(X6)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X5,X6),X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1646]) ).

fof(c_0_2562,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__normed__vector(X7)
      | ~ class_RealVector_Oreal__algebra__1(X7)
      | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X6,tc_RealDef_Oreal),X7) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1647]) ).

fof(c_0_2563,plain,
    ! [X5,X6] :
      ( ~ class_Orderings_Olinorder(X6)
      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X6)
      | c_HOL_Oabs__class_Oabs(X5,X6) = X5
      | c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1648]) ).

fof(c_0_2564,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__normed__vector(X7)
      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X7),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1649]) ).

fof(c_0_2565,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Ofield(X7)
      | ~ class_Int_Onumber__ring(X7)
      | c_HOL_Oinverse__class_Oinverse(X6,X7) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X7),X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1650]) ).

fof(c_0_2566,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
      | c_lessequals(X5,c_HOL_Oabs__class_Oabs(X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1651]) ).

fof(c_0_2567,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Ofield(X6)
      | c_HOL_Oinverse__class_Oinverse(X5,X6) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X6),X5,X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1652]) ).

fof(c_0_2568,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__normed__vector(X7)
      | c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X6,X7),X7) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1653]) ).

fof(c_0_2569,plain,
    ! [X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X5),c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_1654]) ).

fof(c_0_2570,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__algebra__1(X7)
      | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X6,tc_RealDef_Oreal),X7) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1655]) ).

fof(c_0_2571,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oabs__if(X6)
      | c_HOL_Oabs__class_Oabs(X5,X6) = X5
      | c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1656]) ).

fof(c_0_2572,plain,
    ! [X12,X13] :
      ( ~ class_RealVector_Oreal__algebra__1(X13)
      | c_RealVector_Oof__real(X12,X13) = c_RealVector_OscaleR__class_OscaleR(X12,c_HOL_Oone__class_Oone(X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_1657]) ).

fof(c_0_2573,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Ogroup__add(X6)
      | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X6),X5,X6) = c_HOL_Ouminus__class_Ouminus(X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1658]) ).

fof(c_0_2574,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Ofield(X6)
      | c_HOL_Oinverse__class_Oinverse(X5,X6) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1659]) ).

fof(c_0_2575,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Ofield(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oinverse__class_Odivide(X5,c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1660]) ).

fof(c_0_2576,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Ofield(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oinverse__class_Odivide(X5,c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1661]) ).

fof(c_0_2577,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Ofield(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Ozero__class_Ozero(X6) = c_HOL_Oinverse__class_Odivide(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1662]) ).

fof(c_0_2578,plain,
    ! [X5] :
      ( ~ class_RealVector_Oreal__algebra__1(X5)
      | c_RealVector_Oof__real(v_r,X5) = c_RealVector_OscaleR__class_OscaleR(v_r,c_HOL_Oone__class_Oone(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1663]) ).

fof(c_0_2579,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Ofield(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oinverse__class_Odivide(X5,X5,X6) = c_HOL_Oone__class_Oone(X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1664]) ).

fof(c_0_2580,plain,
    ! [X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X5),c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_1665]) ).

fof(c_0_2581,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oidom(X7)
      | ~ class_Int_Onumber__ring(X7)
      | X6 = c_HOL_Oplus__class_Oplus(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_1666]) ).

fof(c_0_2582,plain,
    ! [X5] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X5)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oone__class_Oone(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1667]) ).

fof(c_0_2583,plain,
    ! [X5] :
      ( ~ class_Ring__and__Field_Oordered__semidom(X5)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oone__class_Oone(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1668]) ).

fof(c_0_2584,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Oidom(X7)
      | ~ class_Int_Onumber__ring(X7)
      | c_HOL_Ominus__class_Ominus(X6,X6,X7) = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1669]) ).

fof(c_0_2585,plain,
    ! [X5,X6] :
      ( ~ class_Divides_Osemiring__div(X6)
      | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X6),X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1670]) ).

fof(c_0_2586,plain,
    ! [X5,X6] :
      ( ~ class_RealVector_Oreal__normed__vector(X6)
      | c_RealVector_OscaleR__class_OscaleR(X5,c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1671]) ).

fof(c_0_2587,plain,
    ! [X5,X6] :
      ( ~ class_RealVector_Oreal__vector(X6)
      | c_RealVector_OscaleR__class_OscaleR(X5,c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1672]) ).

fof(c_0_2588,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1673]) ).

fof(c_0_2589,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
      | c_HOL_Otimes__class_Otimes(X5,c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1674]) ).

fof(c_0_2590,plain,
    ! [X8,X9] :
      ( ~ class_RealVector_Oreal__normed__algebra(X9)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X9),X8,X9) = c_HOL_Ozero__class_Ozero(X9) ),
    inference(variable_rename,[status(thm)],[c_0_1675]) ).

fof(c_0_2591,plain,
    ! [X5,X6] :
      ( ~ class_RealVector_Oreal__normed__algebra(X6)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1676]) ).

fof(c_0_2592,plain,
    ! [X5,X6] :
      ( ~ class_RealVector_Oreal__normed__algebra(X6)
      | c_HOL_Otimes__class_Otimes(X5,c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1677]) ).

fof(c_0_2593,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__normed__algebra(X7)
      | c_HOL_Otimes__class_Otimes(X6,c_HOL_Ozero__class_Ozero(X7),X7) = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1678]) ).

fof(c_0_2594,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X7)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X7),X6,X7) = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1679]) ).

fof(c_0_2595,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Omult__zero(X6)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1680]) ).

fof(c_0_2596,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Omult__zero(X6)
      | c_HOL_Otimes__class_Otimes(X5,c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1681]) ).

fof(c_0_2597,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X6)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1682]) ).

fof(c_0_2598,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X6)
      | c_HOL_Otimes__class_Otimes(X5,c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1683]) ).

fof(c_0_2599,plain,
    ! [X5,X6] :
      ( ~ class_Divides_Osemiring__div(X6)
      | c_Divides_Odiv__class_Omod(X5,c_HOL_Oone__class_Oone(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1684]) ).

fof(c_0_2600,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Ofield(X6)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X6),X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1685]) ).

fof(c_0_2601,plain,
    ! [X8,X9] :
      ( ~ class_RealVector_Oreal__normed__field(X9)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X9),X8,X9) = c_HOL_Ozero__class_Ozero(X9) ),
    inference(variable_rename,[status(thm)],[c_0_1686]) ).

fof(c_0_2602,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Ofield(X7)
      | X6 = c_HOL_Ozero__class_Ozero(X7)
      | c_HOL_Oinverse__class_Odivide(X6,X6,X7) = c_HOL_Oone__class_Oone(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1687]) ).

fof(c_0_2603,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Ofield(X6)
      | c_HOL_Oinverse__class_Odivide(X5,X5,X6) = c_HOL_Oone__class_Oone(X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1688]) ).

fof(c_0_2604,plain,
    ! [X12] :
      ( c_HOL_Oabs__class_Oabs(X12,tc_RealDef_Oreal) = X12
      | c_HOL_Oord__class_Oless(X12,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1689]) ).

fof(c_0_2605,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Ofield(X6)
      | c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oone__class_Oone(X6),X6) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1690]) ).

fof(c_0_2606,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Ogroup__add(X6)
      | c_HOL_Ominus__class_Ominus(X5,c_HOL_Ozero__class_Ozero(X6),X6) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1691]) ).

fof(c_0_2607,plain,
    ! [X5,X6] :
      ( ~ class_Divides_Osemiring__div(X6)
      | c_Divides_Odiv__class_Omod(X5,c_HOL_Ozero__class_Ozero(X6),X6) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1692]) ).

fof(c_0_2608,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Omonoid__mult(X6)
      | c_HOL_Otimes__class_Otimes(X5,c_HOL_Oone__class_Oone(X6),X6) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1693]) ).

fof(c_0_2609,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Omonoid__mult(X6)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X6),X5,X6) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1694]) ).

fof(c_0_2610,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X6)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X6),X5,X6) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1695]) ).

fof(c_0_2611,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X7)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X7),X6,X7) = X6 ),
    inference(variable_rename,[status(thm)],[c_0_1696]) ).

fof(c_0_2612,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
      | c_HOL_Otimes__class_Otimes(X5,c_HOL_Oone__class_Oone(X6),X6) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1697]) ).

fof(c_0_2613,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X6),X5,X6) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1698]) ).

fof(c_0_2614,plain,
    ! [X5,X6] :
      ( ~ class_RealVector_Oreal__normed__vector(X6)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1699]) ).

fof(c_0_2615,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__vector(X7)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,X7) = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1700]) ).

fof(c_0_2616,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Omonoid__add(X6)
      | c_HOL_Oplus__class_Oplus(X5,c_HOL_Ozero__class_Ozero(X6),X6) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1701]) ).

fof(c_0_2617,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Omonoid__add(X6)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X6),X5,X6) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1702]) ).

fof(c_0_2618,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X6)
      | c_HOL_Oplus__class_Oplus(X5,c_HOL_Ozero__class_Ozero(X6),X6) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1703]) ).

fof(c_0_2619,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X7)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X7),X6,X7) = X6 ),
    inference(variable_rename,[status(thm)],[c_0_1704]) ).

fof(c_0_2620,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X6)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X6),X5,X6) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1705]) ).

fof(c_0_2621,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
      | c_HOL_Oplus__class_Oplus(X5,c_HOL_Ozero__class_Ozero(X6),X6) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1706]) ).

fof(c_0_2622,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X6),X5,X6) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1707]) ).

fof(c_0_2623,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X6),X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1708]) ).

fof(c_0_2624,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
      | c_Ring__and__Field_Odvd__class_Odvd(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1709]) ).

fof(c_0_2625,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__vector(X7)
      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X6,X7) = X6 ),
    inference(variable_rename,[status(thm)],[c_0_1710]) ).

fof(c_0_2626,plain,
    ! [X6,X7] :
      ( ~ class_OrderedGroup_Oab__group__add(X7)
      | c_HOL_Ominus__class_Ominus(X6,X6,X7) = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1711]) ).

fof(c_0_2627,plain,
    ! [X6,X7] :
      ( ~ class_OrderedGroup_Ogroup__add(X7)
      | c_HOL_Ominus__class_Ominus(X6,X6,X7) = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1712]) ).

fof(c_0_2628,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Ogroup__add(X6)
      | c_HOL_Ominus__class_Ominus(X5,X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1713]) ).

fof(c_0_2629,plain,
    ! [X5,X6] :
      ( ~ class_Divides_Osemiring__div(X6)
      | c_Divides_Odiv__class_Omod(X5,X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1714]) ).

fof(c_0_2630,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Odivision__ring(X7)
      | c_HOL_Oinverse__class_Oinverse(X6,X7) != c_HOL_Oinverse__class_Oinverse(X5,X7)
      | X6 = X5
      | X5 = c_HOL_Ozero__class_Ozero(X7)
      | X6 = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1715]) ).

fof(c_0_2631,plain,
    ! [X6,X7] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X7)
      | c_HOL_Otimes__class_Otimes(X6,X6,X7) = X6 ),
    inference(variable_rename,[status(thm)],[c_0_1716]) ).

fof(c_0_2632,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
      | c_Ring__and__Field_Odvd__class_Odvd(X5,X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1717]) ).

fof(c_0_2633,plain,
    ! [X6,X7] :
      ( ~ class_Orderings_Opreorder(X7)
      | c_lessequals(X6,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1718]) ).

fof(c_0_2634,plain,
    ! [X6,X7] :
      ( ~ class_Orderings_Oorder(X7)
      | c_lessequals(X6,X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1719]) ).

fof(c_0_2635,plain,
    ! [X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X5),X5),X5) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1720]) ).

fof(c_0_2636,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__idom(X6)
      | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X5,X6),X6) = c_HOL_Osgn__class_Osgn(X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1721]) ).

fof(c_0_2637,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X5,X6),X6) = c_HOL_Oabs__class_Oabs(X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1722]) ).

fof(c_0_2638,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__normed__vector(X7)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X6,X7),X7) = c_RealVector_Onorm__class_Onorm(X6,X7) ),
    inference(variable_rename,[status(thm)],[c_0_1723]) ).

fof(c_0_2639,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X5,X6),X6) = c_HOL_Oabs__class_Oabs(X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1724]) ).

fof(c_0_2640,plain,
    ! [X5,X6,X7] :
      ( ~ class_Ring__and__Field_Odivision__ring(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oinverse__class_Oinverse(X6,X7) != c_HOL_Oinverse__class_Oinverse(X5,X7)
      | X6 = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1725]) ).

fof(c_0_2641,plain,
    ! [X12,X13] :
      ( ~ class_RealVector_Oreal__normed__algebra__1(X13)
      | c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X12,X13),X13) = c_HOL_Oabs__class_Oabs(X12,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1726]) ).

fof(c_0_2642,plain,
    ! [X5,X6] :
      ( ~ class_RealVector_Oreal__normed__vector(X6)
      | c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X5,X6),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X5,X6) ),
    inference(variable_rename,[status(thm)],[c_0_1727]) ).

fof(c_0_2643,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Odivision__ring(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X5,X6),X6) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1728]) ).

fof(c_0_2644,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__normed__vector(X7)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X6,X7),X7) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X6 = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1729]) ).

fof(c_0_2645,plain,
    ! [X8,X9,X10] :
      ( ~ class_RealVector_Oreal__algebra__1(X10)
      | c_RealVector_Oof__real(X9,X10) != c_RealVector_Oof__real(X8,X10)
      | X9 = X8 ),
    inference(variable_rename,[status(thm)],[c_0_1730]) ).

fof(c_0_2646,plain,
    ! [X8,X9,X10] :
      ( ~ class_Lattices_Oboolean__algebra(X10)
      | c_HOL_Ouminus__class_Ouminus(X9,X10) != c_HOL_Ouminus__class_Ouminus(X8,X10)
      | X9 = X8 ),
    inference(variable_rename,[status(thm)],[c_0_1731]) ).

fof(c_0_2647,plain,
    ! [X5,X6,X7] :
      ( ~ class_OrderedGroup_Ogroup__add(X7)
      | c_HOL_Ouminus__class_Ouminus(X6,X7) != c_HOL_Ouminus__class_Ouminus(X5,X7)
      | X6 = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1732]) ).

fof(c_0_2648,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Odivision__ring(X6)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X5,X6),X6) = X5
      | X5 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1733]) ).

fof(c_0_2649,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Ofield(X7)
      | ~ class_Ring__and__Field_Odivision__by__zero(X7)
      | c_HOL_Oinverse__class_Oinverse(X6,X7) != c_HOL_Oone__class_Oone(X7)
      | X6 = c_HOL_Oone__class_Oone(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1734]) ).

fof(c_0_2650,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Odivision__ring(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oinverse__class_Oinverse(X5,X6) != c_HOL_Ozero__class_Ozero(X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1735]) ).

fof(c_0_2651,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Ogroup__add(X6)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X5,X6),X6) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1736]) ).

fof(c_0_2652,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Ogroup__add(X6)
      | X5 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1737]) ).

fof(c_0_2653,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Ogroup__add(X6)
      | X5 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X5,X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_1738]) ).

fof(c_0_2654,plain,
    ! [X6,X7] :
      ( ~ class_Lattices_Oboolean__algebra(X7)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X6,X7),X7) = X6 ),
    inference(variable_rename,[status(thm)],[c_0_1739]) ).

fof(c_0_2655,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Ogroup__add(X6)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X5,X6),X6) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1740]) ).

fof(c_0_2656,plain,
    ! [X22,X23] :
      ( c_RealDef_Oreal(X22,tc_nat) != c_RealDef_Oreal(X23,tc_nat)
      | X22 = X23 ),
    inference(variable_rename,[status(thm)],[c_0_1741]) ).

fof(c_0_2657,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Oordered__idom(X6)
      | c_HOL_Osgn__class_Osgn(X5,X6) != c_HOL_Ozero__class_Ozero(X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1742]) ).

fof(c_0_2658,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__normed__vector(X7)
      | c_HOL_Osgn__class_Osgn(X6,X7) != c_HOL_Ozero__class_Ozero(X7)
      | X6 = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1743]) ).

fof(c_0_2659,plain,
    ! [X5,X6] :
      ( ~ class_Ring__and__Field_Odivision__ring(X6)
      | c_HOL_Oinverse__class_Oinverse(X5,X6) != c_HOL_Ozero__class_Ozero(X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1744]) ).

fof(c_0_2660,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
      | c_HOL_Oabs__class_Oabs(X5,X6) != c_HOL_Ozero__class_Ozero(X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1745]) ).

fof(c_0_2661,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Ogroup__add(X6)
      | c_HOL_Ouminus__class_Ouminus(X5,X6) != c_HOL_Ozero__class_Ozero(X6)
      | X5 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1746]) ).

fof(c_0_2662,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Ogroup__add(X6)
      | c_HOL_Ozero__class_Ozero(X6) != c_HOL_Ouminus__class_Ouminus(X5,X6)
      | c_HOL_Ozero__class_Ozero(X6) = X5 ),
    inference(variable_rename,[status(thm)],[c_0_1747]) ).

fof(c_0_2663,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__algebra__1(X7)
      | c_RealVector_Oof__real(X6,X7) != c_HOL_Ozero__class_Ozero(X7)
      | X6 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1748]) ).

fof(c_0_2664,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__normed__vector(X7)
      | c_RealVector_Onorm__class_Onorm(X6,X7) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X6 = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_1749]) ).

fof(c_0_2665,plain,
    ! [X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_1750]) ).

fof(c_0_2666,plain,
    ! [X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X5),X5) = c_HOL_Oone__class_Oone(X5) ),
    inference(variable_rename,[status(thm)],[c_0_1751]) ).

fof(c_0_2667,plain,
    ! [X5,X6] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X6)
      | c_HOL_Ouminus__class_Ouminus(X5,X6) != X5
      | X5 = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_1752]) ).

fof(c_0_2668,plain,
    ! [X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | ~ class_RealVector_Oreal__algebra__1(X5)
      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_1753]) ).

fof(c_0_2669,plain,
    ! [X6] :
      ( c_Transcendental_Osin(X6) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X6),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1754]) ).

fof(c_0_2670,plain,
    ! [X5] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_1755]) ).

fof(c_0_2671,plain,
    ! [X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X5),X5) = c_HOL_Oone__class_Oone(X5) ),
    inference(variable_rename,[status(thm)],[c_0_1756]) ).

fof(c_0_2672,plain,
    ! [X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_1757]) ).

fof(c_0_2673,plain,
    ! [X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X5),X5) = c_HOL_Oone__class_Oone(X5) ),
    inference(variable_rename,[status(thm)],[c_0_1758]) ).

fof(c_0_2674,plain,
    ! [X5] :
      ( ~ class_RealVector_Oreal__normed__algebra__1(X5)
      | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X5),X5) = c_HOL_Oone__class_Oone(X5) ),
    inference(variable_rename,[status(thm)],[c_0_1759]) ).

fof(c_0_2675,plain,
    ! [X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_1760]) ).

fof(c_0_2676,plain,
    ! [X5] :
      ( ~ class_Ring__and__Field_Osgn__if(X5)
      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_1761]) ).

fof(c_0_2677,plain,
    ! [X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_1762]) ).

fof(c_0_2678,plain,
    ! [X5] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_1763]) ).

fof(c_0_2679,plain,
    ! [X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_1764]) ).

fof(c_0_2680,plain,
    ! [X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ozero__class_Ozero(X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_1765]) ).

fof(c_0_2681,plain,
    ! [X5] :
      ( ~ class_RealVector_Oreal__normed__algebra__1(X5)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X5),X5) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1766]) ).

fof(c_0_2682,plain,
    ! [X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1767]) ).

fof(c_0_2683,plain,
    ! [X5] :
      ( ~ class_RealVector_Oreal__algebra__1(X5)
      | c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X5) = c_HOL_Oone__class_Oone(X5) ),
    inference(variable_rename,[status(thm)],[c_0_1768]) ).

fof(c_0_2684,plain,
    ! [X5] :
      ( ~ class_RealVector_Oreal__algebra__1(X5)
      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_1769]) ).

fof(c_0_2685,plain,
    ! [X5] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X5)
      | c_HOL_Oone__class_Oone(X5) != c_HOL_Ozero__class_Ozero(X5) ),
    inference(variable_rename,[status(thm)],[c_0_1770]) ).

fof(c_0_2686,plain,
    ! [X5] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X5)
      | c_HOL_Ozero__class_Ozero(X5) != c_HOL_Oone__class_Oone(X5) ),
    inference(variable_rename,[status(thm)],[c_0_1771]) ).

fof(c_0_2687,plain,
    ! [X2] :
      ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X2))
      | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1772]) ).

fof(c_0_2688,plain,
    ! [X2] :
      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1773]) ).

fof(c_0_2689,plain,
    ! [X2] :
      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1774]) ).

fof(c_0_2690,plain,
    ! [X2] :
      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1775]) ).

fof(c_0_2691,plain,
    ! [X2] :
      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1776]) ).

fof(c_0_2692,plain,
    ! [X2] :
      ( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1777]) ).

fof(c_0_2693,plain,
    ! [X2] :
      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1778]) ).

fof(c_0_2694,plain,
    ! [X2] :
      ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1779]) ).

fof(c_0_2695,plain,
    ! [X2] :
      ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1780]) ).

fof(c_0_2696,plain,
    ! [X2] :
      ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1781]) ).

fof(c_0_2697,plain,
    ! [X2] :
      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X2))
      | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1782]) ).

fof(c_0_2698,plain,
    ! [X2] :
      ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1783]) ).

fof(c_0_2699,plain,
    ! [X2] :
      ( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1784]) ).

fof(c_0_2700,plain,
    ! [X2] :
      ( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1785]) ).

fof(c_0_2701,plain,
    ! [X2] :
      ( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X2))
      | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1786]) ).

fof(c_0_2702,plain,
    ! [X2] :
      ( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1787]) ).

fof(c_0_2703,plain,
    ! [X2] :
      ( class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1788]) ).

fof(c_0_2704,plain,
    ! [X2] :
      ( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1789]) ).

fof(c_0_2705,plain,
    ! [X2] :
      ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1790]) ).

fof(c_0_2706,plain,
    ! [X2] :
      ( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1791]) ).

fof(c_0_2707,plain,
    ! [X2] :
      ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1792]) ).

fof(c_0_2708,plain,
    ! [X2] :
      ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1793]) ).

fof(c_0_2709,plain,
    ! [X2] :
      ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1794]) ).

fof(c_0_2710,plain,
    ! [X2] :
      ( class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1795]) ).

fof(c_0_2711,plain,
    ! [X2] :
      ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X2))
      | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1796]) ).

fof(c_0_2712,plain,
    ! [X2] :
      ( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1797]) ).

fof(c_0_2713,plain,
    ! [X2] :
      ( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1798]) ).

fof(c_0_2714,plain,
    ! [X2] :
      ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X2))
      | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1799]) ).

fof(c_0_2715,plain,
    ! [X2] :
      ( class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1800]) ).

fof(c_0_2716,plain,
    ! [X2] :
      ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1801]) ).

fof(c_0_2717,plain,
    ! [X2] :
      ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1802]) ).

fof(c_0_2718,plain,
    ! [X2] :
      ( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1803]) ).

fof(c_0_2719,plain,
    ! [X2] :
      ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X2))
      | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1804]) ).

fof(c_0_2720,plain,
    ! [X2] :
      ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1805]) ).

fof(c_0_2721,plain,
    ! [X2] :
      ( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1806]) ).

fof(c_0_2722,plain,
    ! [X2] :
      ( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Ocomm__ring(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1807]) ).

fof(c_0_2723,plain,
    ! [X2] :
      ( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1808]) ).

fof(c_0_2724,plain,
    ! [X2] :
      ( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1809]) ).

fof(c_0_2725,plain,
    ! [X2] :
      ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X2))
      | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1810]) ).

fof(c_0_2726,plain,
    ! [X2] :
      ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X2))
      | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1811]) ).

fof(c_0_2727,plain,
    ! [X2] :
      ( class_Ring__and__Field_Osgn__if(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1812]) ).

fof(c_0_2728,plain,
    ! [X2] :
      ( class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1813]) ).

fof(c_0_2729,plain,
    ! [X2] :
      ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1814]) ).

fof(c_0_2730,plain,
    ! [X2] :
      ( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Ocomm__ring(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1815]) ).

fof(c_0_2731,plain,
    ! [X2] :
      ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1816]) ).

fof(c_0_2732,plain,
    ! [X2] :
      ( class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1817]) ).

fof(c_0_2733,plain,
    ! [X2] :
      ( class_Orderings_Opreorder(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1818]) ).

fof(c_0_2734,plain,
    ! [X2] :
      ( class_Orderings_Olinorder(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1819]) ).

fof(c_0_2735,plain,
    ! [X2] :
      ( class_Divides_Oring__div(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1820]) ).

fof(c_0_2736,plain,
    ! [X2] :
      ( class_Orderings_Oorder(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1821]) ).

fof(c_0_2737,plain,
    ! [X2] :
      ( class_Int_Onumber__ring(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
    inference(variable_rename,[status(thm)],[c_0_1822]) ).

fof(c_0_2738,plain,
    ! [X6] :
      ( c_Transcendental_Ocos(X6) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | c_Transcendental_Osin(X6) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1823]) ).

fof(c_0_2739,plain,
    ! [X8,X9] :
      ( c_NthRoot_Osqrt(X9) != c_NthRoot_Osqrt(X8)
      | X9 = X8 ),
    inference(variable_rename,[status(thm)],[c_0_1824]) ).

fof(c_0_2740,plain,
    ! [X27,X28] :
      ( c_Suc(X28) != c_Suc(X27)
      | X28 = X27 ),
    inference(variable_rename,[status(thm)],[c_0_1825]) ).

fof(c_0_2741,plain,
    ! [X8,X9] :
      ( c_Suc(X9) != c_Suc(X8)
      | X9 = X8 ),
    inference(variable_rename,[status(thm)],[c_0_1826]) ).

fof(c_0_2742,plain,
    ! [X8,X9] :
      ( c_Complex_Ocnj(X9) != c_Complex_Ocnj(X8)
      | X9 = X8 ),
    inference(variable_rename,[status(thm)],[c_0_1827]) ).

fof(c_0_2743,plain,
    ! [X6] :
      ( c_NthRoot_Osqrt(X6) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
      | X6 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1828]) ).

fof(c_0_2744,plain,
    ! [X6] :
      ( c_NthRoot_Osqrt(X6) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X6 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_1829]) ).

cnf(c_0_2745,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X3),X5,X3),X3),c_HOL_Otimes__class_Otimes(X4,c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1830]) ).

cnf(c_0_2746,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1831]) ).

cnf(c_0_2747,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1832]) ).

cnf(c_0_2748,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3),X6,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X5,X3),X6,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X4,X3),X6,X3),X5,X3),X3)
    | ~ class_RealVector_Oreal__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1833]) ).

cnf(c_0_2749,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X4,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X2),X4,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X2)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1834]) ).

cnf(c_0_2750,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
    | ~ class_Ring__and__Field_Opordered__ring(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1835]) ).

cnf(c_0_2751,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1836]) ).

cnf(c_0_2752,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1837]) ).

cnf(c_0_2753,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
    | ~ class_Ring__and__Field_Opordered__ring(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1838]) ).

cnf(c_0_2754,plain,
    ( c_lessequals(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1839]) ).

cnf(c_0_2755,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1840]) ).

cnf(c_0_2756,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1841]) ).

cnf(c_0_2757,plain,
    ( c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1842]) ).

cnf(c_0_2758,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X4,X6,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X4,c_HOL_Otimes__class_Otimes(X5,X2,X3),X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__ring(X3)
    | ~ class_Ring__and__Field_Odvd(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1843]) ).

cnf(c_0_2759,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X4,c_HOL_Otimes__class_Otimes(X6,X2,X3),X3),X5,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__ring(X3)
    | ~ class_Ring__and__Field_Odvd(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1844]) ).

cnf(c_0_2760,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1845]) ).

cnf(c_0_2761,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1846]) ).

cnf(c_0_2762,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X3),X2,X3),X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X3),X5,X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1847]) ).

cnf(c_0_2763,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1848]) ).

cnf(c_0_2764,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X4,X1,X2),c_HOL_Oinverse__class_Odivide(X5,X3,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X4,X3,X2),c_HOL_Otimes__class_Otimes(X5,X1,X2),X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1849]) ).

cnf(c_0_2765,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X1,X2),c_HOL_Oinverse__class_Odivide(X5,X3,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,X2),c_HOL_Otimes__class_Otimes(X5,X1,X2),X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1850]) ).

cnf(c_0_2766,plain,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1851]) ).

cnf(c_0_2767,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1852]) ).

cnf(c_0_2768,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1853]) ).

cnf(c_0_2769,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3) = X6
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1854]) ).

cnf(c_0_2770,plain,
    ( X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4)
    | ~ class_Ring__and__Field_Oring(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1855]) ).

cnf(c_0_2771,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X3),X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3),X5,X3)
    | ~ class_Ring__and__Field_Osemiring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1856]) ).

cnf(c_0_2772,plain,
    ( X1 = X2
    | X3 = X4
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1857]) ).

cnf(c_0_2773,plain,
    ( X1 = X2
    | X3 = X4
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_1858]) ).

cnf(c_0_2774,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1859]) ).

cnf(c_0_2775,plain,
    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xs1__1(v_p,v_r,X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_1860]) ).

cnf(c_0_2776,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1861]) ).

cnf(c_0_2777,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1862]) ).

cnf(c_0_2778,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1863]) ).

cnf(c_0_2779,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1864]) ).

cnf(c_0_2780,plain,
    ( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1865]) ).

cnf(c_0_2781,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1866]) ).

cnf(c_0_2782,plain,
    ( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1867]) ).

cnf(c_0_2783,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1868]) ).

cnf(c_0_2784,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1869]) ).

cnf(c_0_2785,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1870]) ).

cnf(c_0_2786,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1871]) ).

cnf(c_0_2787,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)
    | c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__unknown__thm__rcM__1(v_p,v_r),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_1872]) ).

cnf(c_0_2788,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1873]) ).

cnf(c_0_2789,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1874]) ).

cnf(c_0_2790,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1875]) ).

cnf(c_0_2791,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1876]) ).

cnf(c_0_2792,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1877]) ).

cnf(c_0_2793,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1878]) ).

cnf(c_0_2794,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1879]) ).

cnf(c_0_2795,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1880]) ).

cnf(c_0_2796,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X6,X3),X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1881]) ).

cnf(c_0_2797,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X6,X3),X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1882]) ).

cnf(c_0_2798,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X6,X3),X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1883]) ).

cnf(c_0_2799,plain,
    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X2),X2),c_HOL_Oplus__class_Oplus(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1884]) ).

cnf(c_0_2800,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) = c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1885]) ).

cnf(c_0_2801,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X4,X5,X3),X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1886]) ).

cnf(c_0_2802,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1887]) ).

cnf(c_0_2803,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1888]) ).

cnf(c_0_2804,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1889]) ).

cnf(c_0_2805,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1890]) ).

cnf(c_0_2806,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1891]) ).

cnf(c_0_2807,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1892]) ).

cnf(c_0_2808,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1893]) ).

cnf(c_0_2809,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1894]) ).

cnf(c_0_2810,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1895]) ).

cnf(c_0_2811,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X4,X2),X5,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1896]) ).

cnf(c_0_2812,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X4,X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1897]) ).

cnf(c_0_2813,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1898]) ).

cnf(c_0_2814,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_1899]) ).

cnf(c_0_2815,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1900]) ).

cnf(c_0_2816,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1901]) ).

cnf(c_0_2817,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1902]) ).

cnf(c_0_2818,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1903]) ).

cnf(c_0_2819,plain,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1904]) ).

cnf(c_0_2820,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1905]) ).

cnf(c_0_2821,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1906]) ).

cnf(c_0_2822,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1907]) ).

cnf(c_0_2823,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1908]) ).

cnf(c_0_2824,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1909]) ).

cnf(c_0_2825,plain,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1910]) ).

cnf(c_0_2826,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1911]) ).

cnf(c_0_2827,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1912]) ).

cnf(c_0_2828,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1913]) ).

cnf(c_0_2829,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1914]) ).

cnf(c_0_2830,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1915]) ).

cnf(c_0_2831,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1916]) ).

cnf(c_0_2832,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1917]) ).

cnf(c_0_2833,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1918]) ).

cnf(c_0_2834,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1919]) ).

cnf(c_0_2835,plain,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1920]) ).

cnf(c_0_2836,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__semiring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1921]) ).

cnf(c_0_2837,plain,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semiring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1922]) ).

cnf(c_0_2838,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1923]) ).

cnf(c_0_2839,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1924]) ).

cnf(c_0_2840,plain,
    ( c_lessequals(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1925]) ).

cnf(c_0_2841,plain,
    ( c_lessequals(X4,X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1926]) ).

cnf(c_0_2842,plain,
    ( c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1927]) ).

cnf(c_0_2843,plain,
    ( c_HOL_Oord__class_Oless(X4,X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1928]) ).

cnf(c_0_2844,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1929]) ).

cnf(c_0_2845,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1930]) ).

cnf(c_0_2846,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1931]) ).

cnf(c_0_2847,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X4,X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X1,X2),X2),X1,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1932]) ).

cnf(c_0_2848,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2),X1,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1933]) ).

cnf(c_0_2849,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1934]) ).

cnf(c_0_2850,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1935]) ).

cnf(c_0_2851,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1936]) ).

cnf(c_0_2852,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1937]) ).

cnf(c_0_2853,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1938]) ).

cnf(c_0_2854,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1939]) ).

cnf(c_0_2855,plain,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1940]) ).

cnf(c_0_2856,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1941]) ).

cnf(c_0_2857,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1942]) ).

cnf(c_0_2858,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1943]) ).

cnf(c_0_2859,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4),X3,X4) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4)
    | ~ class_Divides_Osemiring__div(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1944]) ).

cnf(c_0_2860,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1945]) ).

cnf(c_0_2861,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1946]) ).

cnf(c_0_2862,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1947]) ).

cnf(c_0_2863,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1948]) ).

cnf(c_0_2864,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1949]) ).

cnf(c_0_2865,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1950]) ).

cnf(c_0_2866,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1951]) ).

cnf(c_0_2867,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1952]) ).

cnf(c_0_2868,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1953]) ).

cnf(c_0_2869,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1954]) ).

cnf(c_0_2870,plain,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1955]) ).

cnf(c_0_2871,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1956]) ).

cnf(c_0_2872,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = X4
    | c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) != c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1957]) ).

cnf(c_0_2873,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1958]) ).

cnf(c_0_2874,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1959]) ).

cnf(c_0_2875,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1960]) ).

cnf(c_0_2876,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1961]) ).

cnf(c_0_2877,plain,
    ( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1962]) ).

cnf(c_0_2878,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1963]) ).

cnf(c_0_2879,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1964]) ).

cnf(c_0_2880,plain,
    ( c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1965]) ).

cnf(c_0_2881,plain,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1966]) ).

cnf(c_0_2882,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1967]) ).

cnf(c_0_2883,plain,
    ( c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1968]) ).

cnf(c_0_2884,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1969]) ).

cnf(c_0_2885,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1970]) ).

cnf(c_0_2886,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Olordered__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1971]) ).

cnf(c_0_2887,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1972]) ).

cnf(c_0_2888,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1973]) ).

cnf(c_0_2889,plain,
    ( c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xs__2(v_p,v_r,X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(v_sko__local__Xs__1(v_p,v_r,X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,v_s____,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_1974]) ).

cnf(c_0_2890,plain,
    ( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ c_lessequals(X3,X5,X4)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1975]) ).

cnf(c_0_2891,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1976]) ).

cnf(c_0_2892,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1977]) ).

cnf(c_0_2893,plain,
    ( X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1978]) ).

cnf(c_0_2894,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1979]) ).

cnf(c_0_2895,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1980]) ).

cnf(c_0_2896,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1981]) ).

cnf(c_0_2897,plain,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1982]) ).

cnf(c_0_2898,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1983]) ).

cnf(c_0_2899,plain,
    ( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1984]) ).

cnf(c_0_2900,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1985]) ).

cnf(c_0_2901,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1986]) ).

cnf(c_0_2902,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1987]) ).

cnf(c_0_2903,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1988]) ).

cnf(c_0_2904,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Omult__mono(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1989]) ).

cnf(c_0_2905,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Omult__mono(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1990]) ).

cnf(c_0_2906,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Omult__mono1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1991]) ).

cnf(c_0_2907,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1992]) ).

cnf(c_0_2908,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1993]) ).

cnf(c_0_2909,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1994]) ).

cnf(c_0_2910,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1995]) ).

cnf(c_0_2911,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1996]) ).

cnf(c_0_2912,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1997]) ).

cnf(c_0_2913,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1998]) ).

cnf(c_0_2914,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1999]) ).

cnf(c_0_2915,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2000]) ).

cnf(c_0_2916,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2001]) ).

cnf(c_0_2917,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2002]) ).

cnf(c_0_2918,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2003]) ).

cnf(c_0_2919,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2004]) ).

cnf(c_0_2920,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2005]) ).

cnf(c_0_2921,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2006]) ).

cnf(c_0_2922,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2007]) ).

cnf(c_0_2923,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2008]) ).

cnf(c_0_2924,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2009]) ).

cnf(c_0_2925,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2010]) ).

cnf(c_0_2926,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2011]) ).

cnf(c_0_2927,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2012]) ).

cnf(c_0_2928,plain,
    ( c_HOL_Oord__class_Oless(X1,v_s____,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
    | c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2013]) ).

cnf(c_0_2929,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2014]) ).

cnf(c_0_2930,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2015]) ).

cnf(c_0_2931,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2016]) ).

cnf(c_0_2932,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2017]) ).

cnf(c_0_2933,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X5,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2018]) ).

cnf(c_0_2934,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2019]) ).

cnf(c_0_2935,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2020]) ).

cnf(c_0_2936,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2021]) ).

cnf(c_0_2937,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2022]) ).

cnf(c_0_2938,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2023]) ).

cnf(c_0_2939,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2024]) ).

cnf(c_0_2940,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2025]) ).

cnf(c_0_2941,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2026]) ).

cnf(c_0_2942,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2027]) ).

cnf(c_0_2943,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2028]) ).

cnf(c_0_2944,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2029]) ).

cnf(c_0_2945,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2030]) ).

cnf(c_0_2946,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2031]) ).

cnf(c_0_2947,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2032]) ).

cnf(c_0_2948,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2033]) ).

cnf(c_0_2949,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2034]) ).

cnf(c_0_2950,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2035]) ).

cnf(c_0_2951,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2036]) ).

cnf(c_0_2952,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2037]) ).

cnf(c_0_2953,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2038]) ).

cnf(c_0_2954,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X2,X4) = c_Divides_Odiv__class_Omod(X1,X2,X4)
    | ~ class_Divides_Osemiring__div(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2039]) ).

cnf(c_0_2955,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X3,X4) = c_Divides_Odiv__class_Omod(X1,X3,X4)
    | ~ class_Divides_Osemiring__div(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2040]) ).

cnf(c_0_2956,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2041]) ).

cnf(c_0_2957,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2042]) ).

cnf(c_0_2958,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2043]) ).

cnf(c_0_2959,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2044]) ).

cnf(c_0_2960,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,X4) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2045]) ).

cnf(c_0_2961,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,X4) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2046]) ).

cnf(c_0_2962,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,X4) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2047]) ).

cnf(c_0_2963,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X3,X2),tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2048]) ).

cnf(c_0_2964,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2049]) ).

cnf(c_0_2965,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2050]) ).

cnf(c_0_2966,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2051]) ).

cnf(c_0_2967,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2052]) ).

cnf(c_0_2968,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2053]) ).

cnf(c_0_2969,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2054]) ).

cnf(c_0_2970,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2055]) ).

cnf(c_0_2971,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X4)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X4)
    | ~ class_Divides_Osemiring__div(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2056]) ).

cnf(c_0_2972,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X4,X2,X3),X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2057]) ).

cnf(c_0_2973,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = X4
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3) != c_HOL_Oplus__class_Oplus(X5,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2058]) ).

cnf(c_0_2974,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2059]) ).

cnf(c_0_2975,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2060]) ).

cnf(c_0_2976,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2061]) ).

cnf(c_0_2977,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2062]) ).

cnf(c_0_2978,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2063]) ).

cnf(c_0_2979,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2064]) ).

cnf(c_0_2980,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2065]) ).

cnf(c_0_2981,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2066]) ).

cnf(c_0_2982,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2067]) ).

cnf(c_0_2983,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2068]) ).

cnf(c_0_2984,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2069]) ).

cnf(c_0_2985,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2070]) ).

cnf(c_0_2986,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2071]) ).

cnf(c_0_2987,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2072]) ).

cnf(c_0_2988,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2073]) ).

cnf(c_0_2989,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2074]) ).

cnf(c_0_2990,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2075]) ).

cnf(c_0_2991,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2076]) ).

cnf(c_0_2992,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2077]) ).

cnf(c_0_2993,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2078]) ).

cnf(c_0_2994,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2079]) ).

cnf(c_0_2995,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2080]) ).

cnf(c_0_2996,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2081]) ).

cnf(c_0_2997,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2082]) ).

cnf(c_0_2998,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2083]) ).

cnf(c_0_2999,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2084]) ).

cnf(c_0_3000,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2085]) ).

cnf(c_0_3001,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2086]) ).

cnf(c_0_3002,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xs1__1(v_p,v_r,X1),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2087]) ).

cnf(c_0_3003,plain,
    ( c_HOL_Oord__class_Oless(X1,v_sko__local__Xmth2__1(v_p,v_r),tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
    | c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2088]) ).

cnf(c_0_3004,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X1,X3,X2),X2),X3,X2)
    | ~ class_Divides_Oring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2089]) ).

cnf(c_0_3005,plain,
    ( c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2090]) ).

cnf(c_0_3006,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2091]) ).

cnf(c_0_3007,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2092]) ).

cnf(c_0_3008,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2093]) ).

cnf(c_0_3009,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2094]) ).

cnf(c_0_3010,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2095]) ).

cnf(c_0_3011,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2096]) ).

cnf(c_0_3012,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2097]) ).

cnf(c_0_3013,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2098]) ).

cnf(c_0_3014,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2099]) ).

cnf(c_0_3015,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2100]) ).

cnf(c_0_3016,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2101]) ).

cnf(c_0_3017,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2102]) ).

cnf(c_0_3018,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2103]) ).

cnf(c_0_3019,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2104]) ).

cnf(c_0_3020,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2105]) ).

cnf(c_0_3021,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2106]) ).

cnf(c_0_3022,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2107]) ).

cnf(c_0_3023,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2108]) ).

cnf(c_0_3024,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2109]) ).

cnf(c_0_3025,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2110]) ).

cnf(c_0_3026,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2111]) ).

cnf(c_0_3027,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2112]) ).

cnf(c_0_3028,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2113]) ).

cnf(c_0_3029,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2114]) ).

cnf(c_0_3030,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2115]) ).

cnf(c_0_3031,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2116]) ).

cnf(c_0_3032,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2117]) ).

cnf(c_0_3033,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2118]) ).

cnf(c_0_3034,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2119]) ).

cnf(c_0_3035,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2120]) ).

cnf(c_0_3036,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2121]) ).

cnf(c_0_3037,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2122]) ).

cnf(c_0_3038,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2123]) ).

cnf(c_0_3039,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2124]) ).

cnf(c_0_3040,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2125]) ).

cnf(c_0_3041,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2126]) ).

cnf(c_0_3042,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2127]) ).

cnf(c_0_3043,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2128]) ).

cnf(c_0_3044,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2129]) ).

cnf(c_0_3045,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2130]) ).

cnf(c_0_3046,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2131]) ).

cnf(c_0_3047,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2132]) ).

cnf(c_0_3048,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2133]) ).

cnf(c_0_3049,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2134]) ).

cnf(c_0_3050,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2135]) ).

cnf(c_0_3051,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2136]) ).

cnf(c_0_3052,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2137]) ).

cnf(c_0_3053,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2138]) ).

cnf(c_0_3054,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2139]) ).

cnf(c_0_3055,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2140]) ).

cnf(c_0_3056,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2141]) ).

cnf(c_0_3057,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2142]) ).

cnf(c_0_3058,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2143]) ).

cnf(c_0_3059,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2144]) ).

cnf(c_0_3060,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2145]) ).

cnf(c_0_3061,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2146]) ).

cnf(c_0_3062,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2147]) ).

cnf(c_0_3063,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2148]) ).

cnf(c_0_3064,plain,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2149]) ).

cnf(c_0_3065,plain,
    ( c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2150]) ).

cnf(c_0_3066,plain,
    ( c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2151]) ).

cnf(c_0_3067,plain,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2152]) ).

cnf(c_0_3068,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2153]) ).

cnf(c_0_3069,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xs__2(v_p,v_r,X1),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,v_s____,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2154]) ).

cnf(c_0_3070,plain,
    ( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2155]) ).

cnf(c_0_3071,plain,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2156]) ).

cnf(c_0_3072,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2157]) ).

cnf(c_0_3073,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2158]) ).

cnf(c_0_3074,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2159]) ).

cnf(c_0_3075,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X3),X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2160]) ).

cnf(c_0_3076,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X3),X3),X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2161]) ).

cnf(c_0_3077,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2162]) ).

cnf(c_0_3078,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X4,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2163]) ).

cnf(c_0_3079,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X4,X2,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2164]) ).

cnf(c_0_3080,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2165]) ).

cnf(c_0_3081,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X4,X2),X3,X2)
    | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
    | ~ class_Divides_Oring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2166]) ).

cnf(c_0_3082,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2167]) ).

cnf(c_0_3083,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2168]) ).

cnf(c_0_3084,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2169]) ).

cnf(c_0_3085,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2170]) ).

cnf(c_0_3086,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2171]) ).

cnf(c_0_3087,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2172]) ).

cnf(c_0_3088,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2173]) ).

cnf(c_0_3089,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2174]) ).

cnf(c_0_3090,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2175]) ).

cnf(c_0_3091,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2176]) ).

cnf(c_0_3092,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2177]) ).

cnf(c_0_3093,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Oab__semigroup__mult(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2178]) ).

cnf(c_0_3094,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2179]) ).

cnf(c_0_3095,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2180]) ).

cnf(c_0_3096,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2181]) ).

cnf(c_0_3097,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2182]) ).

cnf(c_0_3098,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2183]) ).

cnf(c_0_3099,plain,
    ( c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2184]) ).

cnf(c_0_3100,plain,
    ( c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2185]) ).

cnf(c_0_3101,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2186]) ).

cnf(c_0_3102,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2187]) ).

cnf(c_0_3103,plain,
    ( c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_RealVector_Oreal__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2188]) ).

cnf(c_0_3104,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__algebra(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2189]) ).

cnf(c_0_3105,plain,
    ( c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2190]) ).

cnf(c_0_3106,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2191]) ).

cnf(c_0_3107,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2192]) ).

cnf(c_0_3108,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2193]) ).

cnf(c_0_3109,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2194]) ).

cnf(c_0_3110,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2195]) ).

cnf(c_0_3111,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2196]) ).

cnf(c_0_3112,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2197]) ).

cnf(c_0_3113,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Oab__semigroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2198]) ).

cnf(c_0_3114,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2199]) ).

cnf(c_0_3115,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2200]) ).

cnf(c_0_3116,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2201]) ).

cnf(c_0_3117,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2202]) ).

cnf(c_0_3118,plain,
    ( c_Polynomial_Opoly(c_Polynomial_Opcompose(X1,X2,X3),X4,X3) = c_Polynomial_Opoly(X1,c_Polynomial_Opoly(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2203]) ).

cnf(c_0_3119,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2204]) ).

cnf(c_0_3120,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2205]) ).

cnf(c_0_3121,plain,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2206]) ).

cnf(c_0_3122,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2207]) ).

cnf(c_0_3123,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2208]) ).

cnf(c_0_3124,plain,
    ( c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2209]) ).

cnf(c_0_3125,plain,
    ( c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2210]) ).

cnf(c_0_3126,plain,
    ( c_lessequals(X3,X1,X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2211]) ).

cnf(c_0_3127,plain,
    ( c_lessequals(X3,X1,X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2212]) ).

cnf(c_0_3128,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2213]) ).

cnf(c_0_3129,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2214]) ).

cnf(c_0_3130,plain,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2215]) ).

cnf(c_0_3131,plain,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2216]) ).

cnf(c_0_3132,plain,
    ( c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2217]) ).

cnf(c_0_3133,plain,
    ( c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2218]) ).

cnf(c_0_3134,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2219]) ).

cnf(c_0_3135,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2220]) ).

cnf(c_0_3136,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2221]) ).

cnf(c_0_3137,plain,
    ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X4,X2,X3),X1,X3) = c_Divides_Odiv__class_Omod(X4,X1,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2222]) ).

cnf(c_0_3138,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2223]) ).

cnf(c_0_3139,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2224]) ).

cnf(c_0_3140,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2225]) ).

cnf(c_0_3141,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2226]) ).

cnf(c_0_3142,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2227]) ).

cnf(c_0_3143,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X2),X2),X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2228]) ).

cnf(c_0_3144,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X3,X1),X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2229]) ).

cnf(c_0_3145,plain,
    ( c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X4,X5,X3)
    | X5 = c_HOL_Ozero__class_Ozero(X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(X1,X5,X3) != c_HOL_Oinverse__class_Odivide(X4,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2230]) ).

cnf(c_0_3146,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,X2,X3) = c_HOL_Oinverse__class_Odivide(X4,X5,X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | X5 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Otimes__class_Otimes(X1,X5,X3) != c_HOL_Otimes__class_Otimes(X4,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2231]) ).

cnf(c_0_3147,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2232]) ).

cnf(c_0_3148,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2233]) ).

cnf(c_0_3149,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2234]) ).

cnf(c_0_3150,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2235]) ).

cnf(c_0_3151,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2236]) ).

cnf(c_0_3152,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2237]) ).

cnf(c_0_3153,plain,
    ( c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2238]) ).

cnf(c_0_3154,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2239]) ).

cnf(c_0_3155,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2240]) ).

cnf(c_0_3156,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2241]) ).

cnf(c_0_3157,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2242]) ).

cnf(c_0_3158,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2243]) ).

cnf(c_0_3159,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2244]) ).

cnf(c_0_3160,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2245]) ).

cnf(c_0_3161,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2246]) ).

cnf(c_0_3162,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2247]) ).

cnf(c_0_3163,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2248]) ).

cnf(c_0_3164,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2249]) ).

cnf(c_0_3165,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2250]) ).

cnf(c_0_3166,plain,
    ( X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) != X4
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2251]) ).

cnf(c_0_3167,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oone__class_Oone(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2252]) ).

cnf(c_0_3168,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2253]) ).

cnf(c_0_3169,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2254]) ).

cnf(c_0_3170,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2255]) ).

cnf(c_0_3171,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2256]) ).

cnf(c_0_3172,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2257]) ).

cnf(c_0_3173,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2258]) ).

cnf(c_0_3174,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2259]) ).

cnf(c_0_3175,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2260]) ).

cnf(c_0_3176,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2261]) ).

cnf(c_0_3177,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2262]) ).

cnf(c_0_3178,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2263]) ).

cnf(c_0_3179,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2264]) ).

cnf(c_0_3180,plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2265]) ).

cnf(c_0_3181,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X1,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X1,X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2266]) ).

cnf(c_0_3182,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2267]) ).

cnf(c_0_3183,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2268]) ).

cnf(c_0_3184,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2269]) ).

cnf(c_0_3185,plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2270]) ).

cnf(c_0_3186,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2271]) ).

cnf(c_0_3187,plain,
    ( c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3)
    | ~ class_RealVector_Oreal__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2272]) ).

cnf(c_0_3188,plain,
    ( c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3) = c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2273]) ).

cnf(c_0_3189,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X3,X2),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2274]) ).

cnf(c_0_3190,plain,
    ( c_HOL_Oord__class_Oless(X1,v_sko__local__Xs__1(v_p,v_r,X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,v_s____,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2275]) ).

cnf(c_0_3191,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X2,X3),c_RealVector_Oof__real(X1,X3),X3)
    | ~ class_RealVector_Oreal__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2276]) ).

cnf(c_0_3192,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2277]) ).

cnf(c_0_3193,plain,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2278]) ).

cnf(c_0_3194,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2279]) ).

cnf(c_0_3195,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2280]) ).

cnf(c_0_3196,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2281]) ).

cnf(c_0_3197,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2282]) ).

cnf(c_0_3198,plain,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2283]) ).

cnf(c_0_3199,plain,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2284]) ).

cnf(c_0_3200,plain,
    ( c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2285]) ).

cnf(c_0_3201,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2286]) ).

cnf(c_0_3202,plain,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X3),c_HOL_Osgn__class_Osgn(X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__div__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2287]) ).

cnf(c_0_3203,plain,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X3),c_HOL_Osgn__class_Osgn(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2288]) ).

cnf(c_0_3204,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2289]) ).

cnf(c_0_3205,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2290]) ).

cnf(c_0_3206,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2291]) ).

cnf(c_0_3207,plain,
    ( c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3) = c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2292]) ).

cnf(c_0_3208,plain,
    ( c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2293]) ).

cnf(c_0_3209,plain,
    ( c_lessequals(X3,X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2294]) ).

cnf(c_0_3210,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = c_Divides_Odiv__class_Omod(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2295]) ).

cnf(c_0_3211,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X1,X3) = c_Divides_Odiv__class_Omod(X2,X1,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2296]) ).

cnf(c_0_3212,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,X2,X3)
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2297]) ).

cnf(c_0_3213,plain,
    ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3) = c_Divides_Odiv__class_Omod(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2298]) ).

cnf(c_0_3214,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2) = X3
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2299]) ).

cnf(c_0_3215,plain,
    ( c_lessequals(X1,X3,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2300]) ).

cnf(c_0_3216,plain,
    ( c_Polynomial_Opoly(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X2)),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Opoly(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Ocomm__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2301]) ).

cnf(c_0_3217,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) = c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2302]) ).

cnf(c_0_3218,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2303]) ).

cnf(c_0_3219,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2304]) ).

cnf(c_0_3220,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2305]) ).

cnf(c_0_3221,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2306]) ).

cnf(c_0_3222,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2307]) ).

cnf(c_0_3223,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2308]) ).

cnf(c_0_3224,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2309]) ).

cnf(c_0_3225,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2310]) ).

cnf(c_0_3226,plain,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2311]) ).

cnf(c_0_3227,plain,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2312]) ).

cnf(c_0_3228,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2313]) ).

cnf(c_0_3229,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2314]) ).

cnf(c_0_3230,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2315]) ).

cnf(c_0_3231,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2316]) ).

cnf(c_0_3232,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2317]) ).

cnf(c_0_3233,plain,
    ( c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2318]) ).

cnf(c_0_3234,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2319]) ).

cnf(c_0_3235,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2320]) ).

cnf(c_0_3236,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2321]) ).

cnf(c_0_3237,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2322]) ).

cnf(c_0_3238,plain,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2323]) ).

cnf(c_0_3239,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2324]) ).

cnf(c_0_3240,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2325]) ).

cnf(c_0_3241,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2326]) ).

cnf(c_0_3242,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2327]) ).

cnf(c_0_3243,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2328]) ).

cnf(c_0_3244,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2329]) ).

cnf(c_0_3245,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2330]) ).

cnf(c_0_3246,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2331]) ).

cnf(c_0_3247,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2332]) ).

cnf(c_0_3248,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2333]) ).

cnf(c_0_3249,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2334]) ).

cnf(c_0_3250,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2335]) ).

cnf(c_0_3251,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2336]) ).

cnf(c_0_3252,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2337]) ).

cnf(c_0_3253,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2338]) ).

cnf(c_0_3254,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Osgn__class_Osgn(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2339]) ).

cnf(c_0_3255,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2340]) ).

cnf(c_0_3256,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2341]) ).

cnf(c_0_3257,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2342]) ).

cnf(c_0_3258,plain,
    ( c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2343]) ).

cnf(c_0_3259,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2344]) ).

cnf(c_0_3260,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2345]) ).

cnf(c_0_3261,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2346]) ).

cnf(c_0_3262,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2347]) ).

cnf(c_0_3263,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2348]) ).

cnf(c_0_3264,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2349]) ).

cnf(c_0_3265,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2350]) ).

cnf(c_0_3266,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2351]) ).

cnf(c_0_3267,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2352]) ).

cnf(c_0_3268,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2353]) ).

cnf(c_0_3269,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2354]) ).

cnf(c_0_3270,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2355]) ).

cnf(c_0_3271,plain,
    ( X1 = X2
    | X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | c_HOL_Otimes__class_Otimes(X1,X1,X3) != c_HOL_Otimes__class_Otimes(X2,X2,X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2356]) ).

cnf(c_0_3272,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2) = X3
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2357]) ).

cnf(c_0_3273,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) = X3
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2358]) ).

cnf(c_0_3274,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2359]) ).

cnf(c_0_3275,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2360]) ).

cnf(c_0_3276,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2361]) ).

cnf(c_0_3277,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2362]) ).

cnf(c_0_3278,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2363]) ).

cnf(c_0_3279,plain,
    ( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2364]) ).

cnf(c_0_3280,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2365]) ).

cnf(c_0_3281,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2366]) ).

cnf(c_0_3282,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2367]) ).

cnf(c_0_3283,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Osgn__class_Osgn(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2368]) ).

cnf(c_0_3284,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2369]) ).

cnf(c_0_3285,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2370]) ).

cnf(c_0_3286,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2371]) ).

cnf(c_0_3287,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2372]) ).

cnf(c_0_3288,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2373]) ).

cnf(c_0_3289,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) = c_HOL_Oinverse__class_Odivide(X2,X1,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2374]) ).

cnf(c_0_3290,plain,
    ( c_lessequals(X1,X3,X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2375]) ).

cnf(c_0_3291,plain,
    ( c_HOL_Oord__class_Oless(X1,X3,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2376]) ).

cnf(c_0_3292,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2377]) ).

cnf(c_0_3293,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2378]) ).

cnf(c_0_3294,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2379]) ).

cnf(c_0_3295,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2380]) ).

cnf(c_0_3296,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_Int_Onumber__ring(X4)
    | ~ class_Ring__and__Field_Oidom(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2381]) ).

cnf(c_0_3297,plain,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(X4)
    | c_RealVector_OscaleR__class_OscaleR(X1,X3,X4) != c_RealVector_OscaleR__class_OscaleR(X2,X3,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2382]) ).

cnf(c_0_3298,plain,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_RealVector_OscaleR__class_OscaleR(X3,X1,X4) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2383]) ).

cnf(c_0_3299,plain,
    ( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2384]) ).

cnf(c_0_3300,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2385]) ).

cnf(c_0_3301,plain,
    ( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2386]) ).

cnf(c_0_3302,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2387]) ).

cnf(c_0_3303,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2388]) ).

cnf(c_0_3304,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2389]) ).

cnf(c_0_3305,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2390]) ).

cnf(c_0_3306,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2391]) ).

cnf(c_0_3307,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X1,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2392]) ).

cnf(c_0_3308,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X1,X2) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2393]) ).

cnf(c_0_3309,plain,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2394]) ).

cnf(c_0_3310,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2395]) ).

cnf(c_0_3311,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2396]) ).

cnf(c_0_3312,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2397]) ).

cnf(c_0_3313,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2398]) ).

cnf(c_0_3314,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2399]) ).

cnf(c_0_3315,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X1,X3,X4) != c_HOL_Oplus__class_Oplus(X2,X3,X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2400]) ).

cnf(c_0_3316,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2401]) ).

cnf(c_0_3317,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2402]) ).

cnf(c_0_3318,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2403]) ).

cnf(c_0_3319,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2404]) ).

cnf(c_0_3320,plain,
    ( ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2405]) ).

cnf(c_0_3321,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2406]) ).

cnf(c_0_3322,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2407]) ).

cnf(c_0_3323,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2408]) ).

cnf(c_0_3324,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2409]) ).

cnf(c_0_3325,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2410]) ).

cnf(c_0_3326,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Oinverse__class_Odivide(X1,X3,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2411]) ).

cnf(c_0_3327,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2412]) ).

cnf(c_0_3328,plain,
    ( X1 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2413]) ).

cnf(c_0_3329,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = X1
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2414]) ).

cnf(c_0_3330,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2415]) ).

cnf(c_0_3331,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2416]) ).

cnf(c_0_3332,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2417]) ).

cnf(c_0_3333,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2418]) ).

cnf(c_0_3334,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X1,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2419]) ).

cnf(c_0_3335,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2420]) ).

cnf(c_0_3336,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X1,X3) = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2421]) ).

cnf(c_0_3337,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2422]) ).

cnf(c_0_3338,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2423]) ).

cnf(c_0_3339,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3) = X1
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2424]) ).

cnf(c_0_3340,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = X1
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2425]) ).

cnf(c_0_3341,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2426]) ).

cnf(c_0_3342,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2427]) ).

cnf(c_0_3343,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odvd(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2428]) ).

cnf(c_0_3344,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Otimes__class_Otimes(X1,X1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2429]) ).

cnf(c_0_3345,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_Ring__and__Field_Oring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2430]) ).

cnf(c_0_3346,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Otimes__class_Otimes(X1,X3,X2)
    | ~ class_Ring__and__Field_Oring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2431]) ).

cnf(c_0_3347,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Otimes__class_Otimes(X1,X1,X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2432]) ).

cnf(c_0_3348,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2433]) ).

cnf(c_0_3349,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2434]) ).

cnf(c_0_3350,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2435]) ).

cnf(c_0_3351,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2436]) ).

cnf(c_0_3352,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2437]) ).

cnf(c_0_3353,plain,
    ( c_lessequals(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2438]) ).

cnf(c_0_3354,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2439]) ).

cnf(c_0_3355,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2440]) ).

cnf(c_0_3356,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2441]) ).

cnf(c_0_3357,plain,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2442]) ).

cnf(c_0_3358,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2443]) ).

cnf(c_0_3359,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2444]) ).

cnf(c_0_3360,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Divides_Odiv__class_Omod(X2,X1,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2445]) ).

cnf(c_0_3361,plain,
    ( c_Divides_Odiv__class_Omod(X2,X1,X3) = c_HOL_Ozero__class_Ozero(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2446]) ).

cnf(c_0_3362,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2447]) ).

cnf(c_0_3363,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2448]) ).

cnf(c_0_3364,plain,
    ( c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2449]) ).

cnf(c_0_3365,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2450]) ).

cnf(c_0_3366,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2451]) ).

cnf(c_0_3367,plain,
    ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2452]) ).

cnf(c_0_3368,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2453]) ).

cnf(c_0_3369,plain,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2454]) ).

cnf(c_0_3370,plain,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2455]) ).

cnf(c_0_3371,plain,
    ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2456]) ).

cnf(c_0_3372,plain,
    ( c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2457]) ).

cnf(c_0_3373,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2458]) ).

cnf(c_0_3374,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2459]) ).

cnf(c_0_3375,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2460]) ).

cnf(c_0_3376,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2461]) ).

cnf(c_0_3377,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2462]) ).

cnf(c_0_3378,plain,
    ( X2 = X1
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2463]) ).

cnf(c_0_3379,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2464]) ).

cnf(c_0_3380,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2465]) ).

cnf(c_0_3381,plain,
    ( c_lessequals(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2466]) ).

cnf(c_0_3382,plain,
    ( c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2467]) ).

cnf(c_0_3383,plain,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2468]) ).

cnf(c_0_3384,plain,
    ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2469]) ).

cnf(c_0_3385,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2470]) ).

cnf(c_0_3386,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2471]) ).

cnf(c_0_3387,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2472]) ).

cnf(c_0_3388,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2473]) ).

cnf(c_0_3389,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2474]) ).

cnf(c_0_3390,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2475]) ).

cnf(c_0_3391,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2476]) ).

cnf(c_0_3392,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_Int_Onumber__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2477]) ).

cnf(c_0_3393,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2478]) ).

cnf(c_0_3394,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2479]) ).

cnf(c_0_3395,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,X2,X3) = c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X3),X2,X3)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2480]) ).

cnf(c_0_3396,plain,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2481]) ).

cnf(c_0_3397,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2482]) ).

cnf(c_0_3398,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2483]) ).

cnf(c_0_3399,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2484]) ).

cnf(c_0_3400,plain,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2485]) ).

cnf(c_0_3401,plain,
    ( c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2486]) ).

cnf(c_0_3402,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2487]) ).

cnf(c_0_3403,plain,
    ( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2488]) ).

cnf(c_0_3404,plain,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2489]) ).

cnf(c_0_3405,plain,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oabs__if(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2490]) ).

cnf(c_0_3406,plain,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2491]) ).

cnf(c_0_3407,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2492]) ).

cnf(c_0_3408,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Osgn__if(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2493]) ).

cnf(c_0_3409,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2494]) ).

cnf(c_0_3410,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2495]) ).

cnf(c_0_3411,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2496]) ).

cnf(c_0_3412,plain,
    ( c_HOL_Osgn__class_Osgn(X2,X1) = c_HOL_Oone__class_Oone(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2497]) ).

cnf(c_0_3413,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2498]) ).

cnf(c_0_3414,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2499]) ).

cnf(c_0_3415,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X2 = X1
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2500]) ).

cnf(c_0_3416,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2501]) ).

cnf(c_0_3417,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2502]) ).

cnf(c_0_3418,plain,
    ( c_HOL_Oabs__class_Oabs(X2,X1) = X2
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2503]) ).

cnf(c_0_3419,plain,
    ( c_HOL_Oabs__class_Oabs(X2,X1) = X2
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2504]) ).

cnf(c_0_3420,plain,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2505]) ).

cnf(c_0_3421,plain,
    ( c_lessequals(X1,X1,X2)
    | c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2506]) ).

cnf(c_0_3422,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2507]) ).

cnf(c_0_3423,plain,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2508]) ).

cnf(c_0_3424,plain,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2509]) ).

cnf(c_0_3425,plain,
    ( c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2510]) ).

cnf(c_0_3426,plain,
    ( c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2511]) ).

cnf(c_0_3427,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2512]) ).

cnf(c_0_3428,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2513]) ).

cnf(c_0_3429,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2514]) ).

cnf(c_0_3430,plain,
    ( c_HOL_Oinverse__class_Oinverse(X1,X2) = X3
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2515]) ).

cnf(c_0_3431,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) = X1
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2516]) ).

cnf(c_0_3432,plain,
    ( c_HOL_Ouminus__class_Ouminus(X1,X2) = X3
    | c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2517]) ).

cnf(c_0_3433,plain,
    ( X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | c_HOL_Oplus__class_Oplus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2518]) ).

cnf(c_0_3434,plain,
    ( c_HOL_Ouminus__class_Ouminus(X1,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2),X1,X2)
    | ~ class_Int_Onumber__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2519]) ).

cnf(c_0_3435,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2520]) ).

cnf(c_0_3436,plain,
    ( c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2521]) ).

cnf(c_0_3437,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2522]) ).

cnf(c_0_3438,plain,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2523]) ).

cnf(c_0_3439,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2524]) ).

cnf(c_0_3440,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2525]) ).

cnf(c_0_3441,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2526]) ).

cnf(c_0_3442,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2527]) ).

cnf(c_0_3443,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_RealVector_OscaleR__class_OscaleR(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2528]) ).

cnf(c_0_3444,plain,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2529]) ).

cnf(c_0_3445,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Osgn__if(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2530]) ).

cnf(c_0_3446,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 != c_HOL_Oplus__class_Oplus(X3,X1,X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2531]) ).

cnf(c_0_3447,plain,
    ( X1 = X2
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(X1,X2,X3) != c_HOL_Oone__class_Oone(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2532]) ).

cnf(c_0_3448,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2533]) ).

cnf(c_0_3449,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_HOL_Oabs__class_Oabs(X1,X3) != c_HOL_Oabs__class_Oabs(X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2534]) ).

cnf(c_0_3450,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2535]) ).

cnf(c_0_3451,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(X1,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2536]) ).

cnf(c_0_3452,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2537]) ).

cnf(c_0_3453,plain,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2538]) ).

cnf(c_0_3454,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2539]) ).

cnf(c_0_3455,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2540]) ).

cnf(c_0_3456,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2541]) ).

cnf(c_0_3457,plain,
    ( X1 = c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal)
    | c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2542]) ).

cnf(c_0_3458,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2543]) ).

cnf(c_0_3459,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2544]) ).

cnf(c_0_3460,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2545]) ).

cnf(c_0_3461,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2546]) ).

cnf(c_0_3462,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2547]) ).

cnf(c_0_3463,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Osgn__class_Osgn(X2,X1) != c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2548]) ).

cnf(c_0_3464,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2549]) ).

cnf(c_0_3465,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2550]) ).

cnf(c_0_3466,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2551]) ).

cnf(c_0_3467,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2552]) ).

cnf(c_0_3468,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2553]) ).

cnf(c_0_3469,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2554]) ).

cnf(c_0_3470,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2555]) ).

cnf(c_0_3471,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2556]) ).

cnf(c_0_3472,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2557]) ).

cnf(c_0_3473,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2558]) ).

cnf(c_0_3474,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2559]) ).

cnf(c_0_3475,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2560]) ).

cnf(c_0_3476,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2561]) ).

cnf(c_0_3477,plain,
    ( c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X2),X2)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2562]) ).

cnf(c_0_3478,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = X1
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2563]) ).

cnf(c_0_3479,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2564]) ).

cnf(c_0_3480,plain,
    ( c_HOL_Oinverse__class_Oinverse(X1,X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2565]) ).

cnf(c_0_3481,plain,
    ( c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2566]) ).

cnf(c_0_3482,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2567]) ).

cnf(c_0_3483,plain,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X1,X2),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2568]) ).

cnf(c_0_3484,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2569]) ).

cnf(c_0_3485,plain,
    ( c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X2),X2)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2570]) ).

cnf(c_0_3486,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = X1
    | ~ class_Ring__and__Field_Oabs__if(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2571]) ).

cnf(c_0_3487,plain,
    ( c_RealVector_Oof__real(X1,X2) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2572]) ).

cnf(c_0_3488,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(X2,X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2573]) ).

cnf(c_0_3489,plain,
    ( c_HOL_Oinverse__class_Oinverse(X1,X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2574]) ).

cnf(c_0_3490,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2575]) ).

cnf(c_0_3491,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2576]) ).

cnf(c_0_3492,plain,
    ( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2577]) ).

cnf(c_0_3493,plain,
    ( c_RealVector_Oof__real(v_r,X1) = c_RealVector_OscaleR__class_OscaleR(v_r,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2578]) ).

cnf(c_0_3494,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2579]) ).

cnf(c_0_3495,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2580]) ).

cnf(c_0_3496,plain,
    ( X1 = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2581]) ).

cnf(c_0_3497,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2582]) ).

cnf(c_0_3498,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2583]) ).

cnf(c_0_3499,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2584]) ).

cnf(c_0_3500,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2585]) ).

cnf(c_0_3501,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2586]) ).

cnf(c_0_3502,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2587]) ).

cnf(c_0_3503,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2588]) ).

cnf(c_0_3504,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2589]) ).

cnf(c_0_3505,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2590]) ).

cnf(c_0_3506,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2591]) ).

cnf(c_0_3507,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2592]) ).

cnf(c_0_3508,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2593]) ).

cnf(c_0_3509,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2594]) ).

cnf(c_0_3510,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Omult__zero(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2595]) ).

cnf(c_0_3511,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2596]) ).

cnf(c_0_3512,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2597]) ).

cnf(c_0_3513,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2598]) ).

cnf(c_0_3514,plain,
    ( c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2599]) ).

cnf(c_0_3515,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2600]) ).

cnf(c_0_3516,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__field(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2601]) ).

cnf(c_0_3517,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2602]) ).

cnf(c_0_3518,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2603]) ).

cnf(c_0_3519,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_2604]) ).

cnf(c_0_3520,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2605]) ).

cnf(c_0_3521,plain,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2606]) ).

cnf(c_0_3522,plain,
    ( c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2607]) ).

cnf(c_0_3523,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
    | ~ class_OrderedGroup_Omonoid__mult(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2608]) ).

cnf(c_0_3524,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2609]) ).

cnf(c_0_3525,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2610]) ).

cnf(c_0_3526,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2611]) ).

cnf(c_0_3527,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2612]) ).

cnf(c_0_3528,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2613]) ).

cnf(c_0_3529,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2614]) ).

cnf(c_0_3530,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2615]) ).

cnf(c_0_3531,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Omonoid__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2616]) ).

cnf(c_0_3532,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2617]) ).

cnf(c_0_3533,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2618]) ).

cnf(c_0_3534,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2619]) ).

cnf(c_0_3535,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2620]) ).

cnf(c_0_3536,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2621]) ).

cnf(c_0_3537,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2622]) ).

cnf(c_0_3538,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),X2,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2623]) ).

cnf(c_0_3539,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2624]) ).

cnf(c_0_3540,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,X2) = X1
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2625]) ).

cnf(c_0_3541,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2626]) ).

cnf(c_0_3542,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2627]) ).

cnf(c_0_3543,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2628]) ).

cnf(c_0_3544,plain,
    ( c_Divides_Odiv__class_Omod(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2629]) ).

cnf(c_0_3545,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = X3
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Oinverse__class_Oinverse(X3,X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2630]) ).

cnf(c_0_3546,plain,
    ( c_HOL_Otimes__class_Otimes(X1,X1,X2) = X1
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2631]) ).

cnf(c_0_3547,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2632]) ).

cnf(c_0_3548,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2633]) ).

cnf(c_0_3549,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2634]) ).

cnf(c_0_3550,plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1),X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2635]) ).

cnf(c_0_3551,plain,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X2),X2) = c_HOL_Osgn__class_Osgn(X1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2636]) ).

cnf(c_0_3552,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2637]) ).

cnf(c_0_3553,plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_RealVector_Onorm__class_Onorm(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2638]) ).

cnf(c_0_3554,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2639]) ).

cnf(c_0_3555,plain,
    ( X1 = X2
    | c_HOL_Oinverse__class_Oinverse(X1,X3) != c_HOL_Oinverse__class_Oinverse(X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Odivision__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2640]) ).

cnf(c_0_3556,plain,
    ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2641]) ).

cnf(c_0_3557,plain,
    ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2642]) ).

cnf(c_0_3558,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = X1
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2643]) ).

cnf(c_0_3559,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X1,X2),X2) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2644]) ).

cnf(c_0_3560,plain,
    ( X1 = X2
    | c_RealVector_Oof__real(X1,X3) != c_RealVector_Oof__real(X2,X3)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2645]) ).

cnf(c_0_3561,plain,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2646]) ).

cnf(c_0_3562,plain,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2647]) ).

cnf(c_0_3563,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = X1
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2648]) ).

cnf(c_0_3564,plain,
    ( X1 = c_HOL_Oone__class_Oone(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2649]) ).

cnf(c_0_3565,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != 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_2650]) ).

cnf(c_0_3566,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2651]) ).

cnf(c_0_3567,plain,
    ( X1 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2652]) ).

cnf(c_0_3568,plain,
    ( X1 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2653]) ).

cnf(c_0_3569,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2654]) ).

cnf(c_0_3570,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2655]) ).

cnf(c_0_3571,plain,
    ( X1 = X2
    | c_RealDef_Oreal(X1,tc_nat) != c_RealDef_Oreal(X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_2656]) ).

cnf(c_0_3572,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2657]) ).

cnf(c_0_3573,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2658]) ).

cnf(c_0_3574,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2659]) ).

cnf(c_0_3575,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2660]) ).

cnf(c_0_3576,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2661]) ).

cnf(c_0_3577,plain,
    ( c_HOL_Ozero__class_Ozero(X1) = X2
    | c_HOL_Ozero__class_Ozero(X1) != c_HOL_Ouminus__class_Ouminus(X2,X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2662]) ).

cnf(c_0_3578,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_RealVector_Oof__real(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2663]) ).

cnf(c_0_3579,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_RealVector_Onorm__class_Onorm(X1,X2) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2664]) ).

cnf(c_0_3580,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),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_2665]) ).

cnf(c_0_3581,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2666]) ).

cnf(c_0_3582,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(X1,X2) != X1
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2667]) ).

cnf(c_0_3583,plain,
    ( c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1) = 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_2668]) ).

cnf(c_0_3584,plain,
    ( c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X1),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Transcendental_Osin(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2669]) ).

cnf(c_0_3585,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2670]) ).

cnf(c_0_3586,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2671]) ).

cnf(c_0_3587,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2672]) ).

cnf(c_0_3588,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Odivision__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2673]) ).

cnf(c_0_3589,plain,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_RealVector_Oreal__normed__algebra__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2674]) ).

cnf(c_0_3590,plain,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2675]) ).

cnf(c_0_3591,plain,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Osgn__if(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2676]) ).

cnf(c_0_3592,plain,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2677]) ).

cnf(c_0_3593,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2678]) ).

cnf(c_0_3594,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2679]) ).

cnf(c_0_3595,plain,
    ( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2680]) ).

cnf(c_0_3596,plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2681]) ).

cnf(c_0_3597,plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2682]) ).

cnf(c_0_3598,plain,
    ( c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2683]) ).

cnf(c_0_3599,plain,
    ( c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2684]) ).

cnf(c_0_3600,plain,
    ( c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2685]) ).

cnf(c_0_3601,plain,
    ( c_HOL_Ozero__class_Ozero(X1) != c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2686]) ).

cnf(c_0_3602,plain,
    ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2687]) ).

cnf(c_0_3603,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2688]) ).

cnf(c_0_3604,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2689]) ).

cnf(c_0_3605,plain,
    ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2690]) ).

cnf(c_0_3606,plain,
    ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2691]) ).

cnf(c_0_3607,plain,
    ( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2692]) ).

cnf(c_0_3608,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2693]) ).

cnf(c_0_3609,plain,
    ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2694]) ).

cnf(c_0_3610,plain,
    ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2695]) ).

cnf(c_0_3611,plain,
    ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2696]) ).

cnf(c_0_3612,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2697]) ).

cnf(c_0_3613,plain,
    ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2698]) ).

cnf(c_0_3614,plain,
    ( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2699]) ).

cnf(c_0_3615,plain,
    ( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2700]) ).

cnf(c_0_3616,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2701]) ).

cnf(c_0_3617,plain,
    ( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2702]) ).

cnf(c_0_3618,plain,
    ( class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2703]) ).

cnf(c_0_3619,plain,
    ( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2704]) ).

cnf(c_0_3620,plain,
    ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2705]) ).

cnf(c_0_3621,plain,
    ( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2706]) ).

cnf(c_0_3622,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2707]) ).

cnf(c_0_3623,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2708]) ).

cnf(c_0_3624,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2709]) ).

cnf(c_0_3625,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2710]) ).

cnf(c_0_3626,plain,
    ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2711]) ).

cnf(c_0_3627,plain,
    ( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2712]) ).

cnf(c_0_3628,plain,
    ( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2713]) ).

cnf(c_0_3629,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2714]) ).

cnf(c_0_3630,plain,
    ( class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2715]) ).

cnf(c_0_3631,plain,
    ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2716]) ).

cnf(c_0_3632,plain,
    ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2717]) ).

cnf(c_0_3633,plain,
    ( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2718]) ).

cnf(c_0_3634,plain,
    ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2719]) ).

cnf(c_0_3635,plain,
    ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2720]) ).

cnf(c_0_3636,plain,
    ( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2721]) ).

cnf(c_0_3637,plain,
    ( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2722]) ).

cnf(c_0_3638,plain,
    ( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2723]) ).

cnf(c_0_3639,plain,
    ( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2724]) ).

cnf(c_0_3640,plain,
    ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2725]) ).

cnf(c_0_3641,plain,
    ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2726]) ).

cnf(c_0_3642,plain,
    ( class_Ring__and__Field_Osgn__if(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2727]) ).

cnf(c_0_3643,plain,
    ( class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2728]) ).

cnf(c_0_3644,plain,
    ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2729]) ).

cnf(c_0_3645,plain,
    ( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2730]) ).

cnf(c_0_3646,plain,
    ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2731]) ).

cnf(c_0_3647,plain,
    ( class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2732]) ).

cnf(c_0_3648,plain,
    ( class_Orderings_Opreorder(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2733]) ).

cnf(c_0_3649,plain,
    ( class_Orderings_Olinorder(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2734]) ).

cnf(c_0_3650,plain,
    ( class_Divides_Oring__div(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2735]) ).

cnf(c_0_3651,plain,
    ( class_Orderings_Oorder(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2736]) ).

cnf(c_0_3652,plain,
    ( class_Int_Onumber__ring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2737]) ).

cnf(c_0_3653,plain,
    ( c_Transcendental_Osin(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X1) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2738]) ).

cnf(c_0_3654,plain,
    ( X1 = X2
    | c_NthRoot_Osqrt(X1) != c_NthRoot_Osqrt(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2739]) ).

cnf(c_0_3655,plain,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2740]) ).

cnf(c_0_3656,plain,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2741]) ).

cnf(c_0_3657,plain,
    ( X1 = X2
    | c_Complex_Ocnj(X1) != c_Complex_Ocnj(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2742]) ).

cnf(c_0_3658,plain,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2743]) ).

cnf(c_0_3659,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_2744]) ).

cnf(c_0_3660,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X3),X5,X3),X3),c_HOL_Otimes__class_Otimes(X4,c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_2745,
    [final] ).

cnf(c_0_3661,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    c_0_2746,
    [final] ).

cnf(c_0_3662,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_2747,
    [final] ).

cnf(c_0_3663,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X5,X3),X6,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X4,X3),X6,X3),X5,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3),X6,X3)
    | ~ class_RealVector_Oreal__field(X3) ),
    c_0_2748,
    [final] ).

cnf(c_0_3664,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X2),X4,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X4,X2)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    c_0_2749,
    [final] ).

cnf(c_0_3665,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
    | ~ class_Ring__and__Field_Opordered__ring(X4) ),
    c_0_2750,
    [final] ).

cnf(c_0_3666,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    c_0_2751,
    [final] ).

cnf(c_0_3667,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    c_0_2752,
    [final] ).

cnf(c_0_3668,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
    | ~ class_Ring__and__Field_Opordered__ring(X4) ),
    c_0_2753,
    [final] ).

cnf(c_0_3669,plain,
    ( c_lessequals(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    c_0_2754,
    [final] ).

cnf(c_0_3670,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    c_0_2755,
    [final] ).

cnf(c_0_3671,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    c_0_2756,
    [final] ).

cnf(c_0_3672,plain,
    ( c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    c_0_2757,
    [final] ).

cnf(c_0_3673,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X4,X6,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X4,c_HOL_Otimes__class_Otimes(X5,X2,X3),X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__ring(X3)
    | ~ class_Ring__and__Field_Odvd(X3) ),
    c_0_2758,
    [final] ).

cnf(c_0_3674,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X4,c_HOL_Otimes__class_Otimes(X6,X2,X3),X3),X5,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__ring(X3)
    | ~ class_Ring__and__Field_Odvd(X3) ),
    c_0_2759,
    [final] ).

cnf(c_0_3675,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_2760,
    [final] ).

cnf(c_0_3676,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    c_0_2761,
    [final] ).

cnf(c_0_3677,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X3),X2,X3),X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X3),X5,X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    c_0_2762,
    [final] ).

cnf(c_0_3678,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_2763,
    [final] ).

cnf(c_0_3679,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X4,X3,X2),c_HOL_Otimes__class_Otimes(X5,X1,X2),X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X4,X1,X2),c_HOL_Oinverse__class_Odivide(X5,X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_2764,
    [final] ).

cnf(c_0_3680,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,X2),c_HOL_Otimes__class_Otimes(X5,X1,X2),X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X1,X2),c_HOL_Oinverse__class_Odivide(X5,X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_2765,
    [final] ).

cnf(c_0_3681,plain,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_2766,
    [final] ).

cnf(c_0_3682,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_2767,
    [final] ).

cnf(c_0_3683,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_2768,
    [final] ).

cnf(c_0_3684,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3) = X6
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    c_0_2769,
    [final] ).

cnf(c_0_3685,plain,
    ( X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4)
    | ~ class_Ring__and__Field_Oring(X4) ),
    c_0_2770,
    [final] ).

cnf(c_0_3686,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X3),X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3),X5,X3)
    | ~ class_Ring__and__Field_Osemiring(X3) ),
    c_0_2771,
    [final] ).

cnf(c_0_3687,plain,
    ( X1 = X2
    | X3 = X4
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    c_0_2772,
    [final] ).

cnf(c_0_3688,plain,
    ( X1 = X2
    | X3 = X4
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    c_0_2773,
    [final] ).

cnf(c_0_3689,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_2774,
    [final] ).

cnf(c_0_3690,plain,
    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xs1__1(v_p,v_r,X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_2775,
    [final] ).

cnf(c_0_3691,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_2776,
    [final] ).

cnf(c_0_3692,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_2777,
    [final] ).

cnf(c_0_3693,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2778,
    [final] ).

cnf(c_0_3694,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2779,
    [final] ).

cnf(c_0_3695,plain,
    ( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2780,
    [final] ).

cnf(c_0_3696,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_2781,
    [final] ).

cnf(c_0_3697,plain,
    ( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2782,
    [final] ).

cnf(c_0_3698,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_2783,
    [final] ).

cnf(c_0_3699,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    c_0_2784,
    [final] ).

cnf(c_0_3700,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_2785,
    [final] ).

cnf(c_0_3701,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_2786,
    [final] ).

cnf(c_0_3702,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)
    | c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__unknown__thm__rcM__1(v_p,v_r),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
    c_0_2787,
    [final] ).

cnf(c_0_3703,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_2788,
    [final] ).

cnf(c_0_3704,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2789,
    [final] ).

cnf(c_0_3705,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2790,
    [final] ).

cnf(c_0_3706,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2791,
    [final] ).

cnf(c_0_3707,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2792,
    [final] ).

cnf(c_0_3708,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2793,
    [final] ).

cnf(c_0_3709,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2794,
    [final] ).

cnf(c_0_3710,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_2795,
    [final] ).

cnf(c_0_3711,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X6,X3),X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_2796,
    [final] ).

cnf(c_0_3712,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X6,X3),X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_2797,
    [final] ).

cnf(c_0_3713,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X6,X3),X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    c_0_2798,
    [final] ).

cnf(c_0_3714,plain,
    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X2),X2),c_HOL_Oplus__class_Oplus(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_2799,
    [final] ).

cnf(c_0_3715,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) = c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_2800,
    [final] ).

cnf(c_0_3716,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X4,X5,X3),X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_2801,
    [final] ).

cnf(c_0_3717,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    c_0_2802,
    [final] ).

cnf(c_0_3718,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2803,
    [final] ).

cnf(c_0_3719,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    c_0_2804,
    [final] ).

cnf(c_0_3720,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    c_0_2805,
    [final] ).

cnf(c_0_3721,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    c_0_2806,
    [final] ).

cnf(c_0_3722,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2807,
    [final] ).

cnf(c_0_3723,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2808,
    [final] ).

cnf(c_0_3724,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    c_0_2809,
    [final] ).

cnf(c_0_3725,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    c_0_2810,
    [final] ).

cnf(c_0_3726,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X4,X2),X5,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_2811,
    [final] ).

cnf(c_0_3727,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X4,X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_2812,
    [final] ).

cnf(c_0_3728,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_2813,
    [final] ).

cnf(c_0_3729,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_RealDef_Oreal) ),
    c_0_2814,
    [final] ).

cnf(c_0_3730,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_2815,
    [final] ).

cnf(c_0_3731,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_2816,
    [final] ).

cnf(c_0_3732,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_2817,
    [final] ).

cnf(c_0_3733,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2818,
    [final] ).

cnf(c_0_3734,plain,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_2819,
    [final] ).

cnf(c_0_3735,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2820,
    [final] ).

cnf(c_0_3736,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2821,
    [final] ).

cnf(c_0_3737,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2822,
    [final] ).

cnf(c_0_3738,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2823,
    [final] ).

cnf(c_0_3739,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2824,
    [final] ).

cnf(c_0_3740,plain,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_2825,
    [final] ).

cnf(c_0_3741,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_2826,
    [final] ).

cnf(c_0_3742,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2827,
    [final] ).

cnf(c_0_3743,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2828,
    [final] ).

cnf(c_0_3744,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2829,
    [final] ).

cnf(c_0_3745,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2830,
    [final] ).

cnf(c_0_3746,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2831,
    [final] ).

cnf(c_0_3747,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_2832,
    [final] ).

cnf(c_0_3748,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2833,
    [final] ).

cnf(c_0_3749,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    c_0_2834,
    [final] ).

cnf(c_0_3750,plain,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    c_0_2835,
    [final] ).

cnf(c_0_3751,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__semiring(X3) ),
    c_0_2836,
    [final] ).

cnf(c_0_3752,plain,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semiring(X3) ),
    c_0_2837,
    [final] ).

cnf(c_0_3753,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    c_0_2838,
    [final] ).

cnf(c_0_3754,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    c_0_2839,
    [final] ).

cnf(c_0_3755,plain,
    ( c_lessequals(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_2840,
    [final] ).

cnf(c_0_3756,plain,
    ( c_lessequals(X4,X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_2841,
    [final] ).

cnf(c_0_3757,plain,
    ( c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_2842,
    [final] ).

cnf(c_0_3758,plain,
    ( c_HOL_Oord__class_Oless(X4,X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_2843,
    [final] ).

cnf(c_0_3759,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_2844,
    [final] ).

cnf(c_0_3760,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_2845,
    [final] ).

cnf(c_0_3761,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_2846,
    [final] ).

cnf(c_0_3762,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X4,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_2847,
    [final] ).

cnf(c_0_3763,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_2848,
    [final] ).

cnf(c_0_3764,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_2849,
    [final] ).

cnf(c_0_3765,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_2850,
    [final] ).

cnf(c_0_3766,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_2851,
    [final] ).

cnf(c_0_3767,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    c_0_2852,
    [final] ).

cnf(c_0_3768,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    c_0_2853,
    [final] ).

cnf(c_0_3769,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_2854,
    [final] ).

cnf(c_0_3770,plain,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_2855,
    [final] ).

cnf(c_0_3771,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_2856,
    [final] ).

cnf(c_0_3772,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_2857,
    [final] ).

cnf(c_0_3773,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_2858,
    [final] ).

cnf(c_0_3774,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4),X3,X4) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4)
    | ~ class_Divides_Osemiring__div(X4) ),
    c_0_2859,
    [final] ).

cnf(c_0_3775,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_2860,
    [final] ).

cnf(c_0_3776,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_2861,
    [final] ).

cnf(c_0_3777,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    c_0_2862,
    [final] ).

cnf(c_0_3778,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    c_0_2863,
    [final] ).

cnf(c_0_3779,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_2864,
    [final] ).

cnf(c_0_3780,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_2865,
    [final] ).

cnf(c_0_3781,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_2866,
    [final] ).

cnf(c_0_3782,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_2867,
    [final] ).

cnf(c_0_3783,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_2868,
    [final] ).

cnf(c_0_3784,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_2869,
    [final] ).

cnf(c_0_3785,plain,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_2870,
    [final] ).

cnf(c_0_3786,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_2871,
    [final] ).

cnf(c_0_3787,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = X4
    | c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) != c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    c_0_2872,
    [final] ).

cnf(c_0_3788,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2873,
    [final] ).

cnf(c_0_3789,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_2874,
    [final] ).

cnf(c_0_3790,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_2875,
    [final] ).

cnf(c_0_3791,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2876,
    [final] ).

cnf(c_0_3792,plain,
    ( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2877,
    [final] ).

cnf(c_0_3793,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_2878,
    [final] ).

cnf(c_0_3794,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_2879,
    [final] ).

cnf(c_0_3795,plain,
    ( c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2880,
    [final] ).

cnf(c_0_3796,plain,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2881,
    [final] ).

cnf(c_0_3797,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2882,
    [final] ).

cnf(c_0_3798,plain,
    ( c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2883,
    [final] ).

cnf(c_0_3799,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2884,
    [final] ).

cnf(c_0_3800,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_2885,
    [final] ).

cnf(c_0_3801,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Olordered__ring(X3) ),
    c_0_2886,
    [final] ).

cnf(c_0_3802,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    c_0_2887,
    [final] ).

cnf(c_0_3803,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    c_0_2888,
    [final] ).

cnf(c_0_3804,plain,
    ( c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xs__2(v_p,v_r,X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(v_sko__local__Xs__1(v_p,v_r,X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,v_s____,tc_RealDef_Oreal) ),
    c_0_2889,
    [final] ).

cnf(c_0_3805,plain,
    ( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ c_lessequals(X3,X5,X4)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X4) ),
    c_0_2890,
    [final] ).

cnf(c_0_3806,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_2891,
    [final] ).

cnf(c_0_3807,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_2892,
    [final] ).

cnf(c_0_3808,plain,
    ( X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    c_0_2893,
    [final] ).

cnf(c_0_3809,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    c_0_2894,
    [final] ).

cnf(c_0_3810,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_2895,
    [final] ).

cnf(c_0_3811,plain,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_2896,
    [final] ).

cnf(c_0_3812,plain,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_2897,
    [final] ).

cnf(c_0_3813,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_2898,
    [final] ).

cnf(c_0_3814,plain,
    ( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3) ),
    c_0_2899,
    [final] ).

cnf(c_0_3815,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2900,
    [final] ).

cnf(c_0_3816,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2901,
    [final] ).

cnf(c_0_3817,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    c_0_2902,
    [final] ).

cnf(c_0_3818,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    c_0_2903,
    [final] ).

cnf(c_0_3819,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Omult__mono(X3) ),
    c_0_2904,
    [final] ).

cnf(c_0_3820,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Omult__mono(X3) ),
    c_0_2905,
    [final] ).

cnf(c_0_3821,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Omult__mono1(X3) ),
    c_0_2906,
    [final] ).

cnf(c_0_3822,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2907,
    [final] ).

cnf(c_0_3823,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2908,
    [final] ).

cnf(c_0_3824,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_2909,
    [final] ).

cnf(c_0_3825,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_2910,
    [final] ).

cnf(c_0_3826,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X3) ),
    c_0_2911,
    [final] ).

cnf(c_0_3827,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_2912,
    [final] ).

cnf(c_0_3828,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_2913,
    [final] ).

cnf(c_0_3829,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    c_0_2914,
    [final] ).

cnf(c_0_3830,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_2915,
    [final] ).

cnf(c_0_3831,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_2916,
    [final] ).

cnf(c_0_3832,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_2917,
    [final] ).

cnf(c_0_3833,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    c_0_2918,
    [final] ).

cnf(c_0_3834,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_2919,
    [final] ).

cnf(c_0_3835,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_2920,
    [final] ).

cnf(c_0_3836,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_2921,
    [final] ).

cnf(c_0_3837,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_2922,
    [final] ).

cnf(c_0_3838,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_2923,
    [final] ).

cnf(c_0_3839,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2924,
    [final] ).

cnf(c_0_3840,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_2925,
    [final] ).

cnf(c_0_3841,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    c_0_2926,
    [final] ).

cnf(c_0_3842,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2927,
    [final] ).

cnf(c_0_3843,plain,
    ( c_HOL_Oord__class_Oless(X1,v_s____,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
    | c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal) ),
    c_0_2928,
    [final] ).

cnf(c_0_3844,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    c_0_2929,
    [final] ).

cnf(c_0_3845,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    c_0_2930,
    [final] ).

cnf(c_0_3846,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    c_0_2931,
    [final] ).

cnf(c_0_3847,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    c_0_2932,
    [final] ).

cnf(c_0_3848,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X5,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_2933,
    [final] ).

cnf(c_0_3849,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_2934,
    [final] ).

cnf(c_0_3850,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_2935,
    [final] ).

cnf(c_0_3851,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_2936,
    [final] ).

cnf(c_0_3852,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    c_0_2937,
    [final] ).

cnf(c_0_3853,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    c_0_2938,
    [final] ).

cnf(c_0_3854,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_2939,
    [final] ).

cnf(c_0_3855,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_2940,
    [final] ).

cnf(c_0_3856,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    c_0_2941,
    [final] ).

cnf(c_0_3857,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring(X3) ),
    c_0_2942,
    [final] ).

cnf(c_0_3858,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_2943,
    [final] ).

cnf(c_0_3859,plain,
    ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    c_0_2944,
    [final] ).

cnf(c_0_3860,plain,
    ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_2945,
    [final] ).

cnf(c_0_3861,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_2946,
    [final] ).

cnf(c_0_3862,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    c_0_2947,
    [final] ).

cnf(c_0_3863,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    c_0_2948,
    [final] ).

cnf(c_0_3864,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    c_0_2949,
    [final] ).

cnf(c_0_3865,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_2950,
    [final] ).

cnf(c_0_3866,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_2951,
    [final] ).

cnf(c_0_3867,plain,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    c_0_2952,
    [final] ).

cnf(c_0_3868,plain,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_2953,
    [final] ).

cnf(c_0_3869,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X2,X4) = c_Divides_Odiv__class_Omod(X1,X2,X4)
    | ~ class_Divides_Osemiring__div(X4) ),
    c_0_2954,
    [final] ).

cnf(c_0_3870,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X3,X4) = c_Divides_Odiv__class_Omod(X1,X3,X4)
    | ~ class_Divides_Osemiring__div(X4) ),
    c_0_2955,
    [final] ).

cnf(c_0_3871,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_2956,
    [final] ).

cnf(c_0_3872,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    c_0_2957,
    [final] ).

cnf(c_0_3873,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_2958,
    [final] ).

cnf(c_0_3874,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_2959,
    [final] ).

cnf(c_0_3875,plain,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    c_0_2960,
    [final] ).

cnf(c_0_3876,plain,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    c_0_2961,
    [final] ).

cnf(c_0_3877,plain,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_2962,
    [final] ).

cnf(c_0_3878,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X3,X2),tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),X2,tc_RealDef_Oreal) ),
    c_0_2963,
    [final] ).

cnf(c_0_3879,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_2964,
    [final] ).

cnf(c_0_3880,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_2965,
    [final] ).

cnf(c_0_3881,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
    c_0_2966,
    [final] ).

cnf(c_0_3882,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
    c_0_2967,
    [final] ).

cnf(c_0_3883,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
    c_0_2968,
    [final] ).

cnf(c_0_3884,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
    c_0_2969,
    [final] ).

cnf(c_0_3885,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
    c_0_2970,
    [final] ).

cnf(c_0_3886,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X4)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X4)
    | ~ class_Divides_Osemiring__div(X4) ),
    c_0_2971,
    [final] ).

cnf(c_0_3887,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X4,X2,X3),X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_2972,
    [final] ).

cnf(c_0_3888,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = X4
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3) != c_HOL_Oplus__class_Oplus(X5,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_2973,
    [final] ).

cnf(c_0_3889,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2974,
    [final] ).

cnf(c_0_3890,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2975,
    [final] ).

cnf(c_0_3891,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2976,
    [final] ).

cnf(c_0_3892,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2977,
    [final] ).

cnf(c_0_3893,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2978,
    [final] ).

cnf(c_0_3894,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2979,
    [final] ).

cnf(c_0_3895,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2980,
    [final] ).

cnf(c_0_3896,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2981,
    [final] ).

cnf(c_0_3897,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2982,
    [final] ).

cnf(c_0_3898,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2983,
    [final] ).

cnf(c_0_3899,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2984,
    [final] ).

cnf(c_0_3900,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2985,
    [final] ).

cnf(c_0_3901,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2986,
    [final] ).

cnf(c_0_3902,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2987,
    [final] ).

cnf(c_0_3903,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2988,
    [final] ).

cnf(c_0_3904,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_2989,
    [final] ).

cnf(c_0_3905,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2990,
    [final] ).

cnf(c_0_3906,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2991,
    [final] ).

cnf(c_0_3907,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2992,
    [final] ).

cnf(c_0_3908,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_2993,
    [final] ).

cnf(c_0_3909,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_2994,
    [final] ).

cnf(c_0_3910,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_2995,
    [final] ).

cnf(c_0_3911,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_2996,
    [final] ).

cnf(c_0_3912,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    c_0_2997,
    [final] ).

cnf(c_0_3913,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_2998,
    [final] ).

cnf(c_0_3914,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_2999,
    [final] ).

cnf(c_0_3915,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_3000,
    [final] ).

cnf(c_0_3916,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_3001,
    [final] ).

cnf(c_0_3917,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xs1__1(v_p,v_r,X1),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_3002,
    [final] ).

cnf(c_0_3918,plain,
    ( c_HOL_Oord__class_Oless(X1,v_sko__local__Xmth2__1(v_p,v_r),tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
    | c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal) ),
    c_0_3003,
    [final] ).

cnf(c_0_3919,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X1,X3,X2),X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_Divides_Oring__div(X2) ),
    c_0_3004,
    [final] ).

cnf(c_0_3920,plain,
    ( c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_3005,
    [final] ).

cnf(c_0_3921,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3006,
    [final] ).

cnf(c_0_3922,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3007,
    [final] ).

cnf(c_0_3923,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3008,
    [final] ).

cnf(c_0_3924,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3009,
    [final] ).

cnf(c_0_3925,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3010,
    [final] ).

cnf(c_0_3926,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3011,
    [final] ).

cnf(c_0_3927,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3012,
    [final] ).

cnf(c_0_3928,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3013,
    [final] ).

cnf(c_0_3929,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    c_0_3014,
    [final] ).

cnf(c_0_3930,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring(X2) ),
    c_0_3015,
    [final] ).

cnf(c_0_3931,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring(X2) ),
    c_0_3016,
    [final] ).

cnf(c_0_3932,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_3017,
    [final] ).

cnf(c_0_3933,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_3018,
    [final] ).

cnf(c_0_3934,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    c_0_3019,
    [final] ).

cnf(c_0_3935,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3020,
    [final] ).

cnf(c_0_3936,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3021,
    [final] ).

cnf(c_0_3937,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_3022,
    [final] ).

cnf(c_0_3938,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_3023,
    [final] ).

cnf(c_0_3939,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    c_0_3024,
    [final] ).

cnf(c_0_3940,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3025,
    [final] ).

cnf(c_0_3941,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3026,
    [final] ).

cnf(c_0_3942,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3027,
    [final] ).

cnf(c_0_3943,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3028,
    [final] ).

cnf(c_0_3944,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    c_0_3029,
    [final] ).

cnf(c_0_3945,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    c_0_3030,
    [final] ).

cnf(c_0_3946,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_3031,
    [final] ).

cnf(c_0_3947,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_3032,
    [final] ).

cnf(c_0_3948,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_3033,
    [final] ).

cnf(c_0_3949,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_3034,
    [final] ).

cnf(c_0_3950,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    c_0_3035,
    [final] ).

cnf(c_0_3951,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    c_0_3036,
    [final] ).

cnf(c_0_3952,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    c_0_3037,
    [final] ).

cnf(c_0_3953,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    c_0_3038,
    [final] ).

cnf(c_0_3954,plain,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    c_0_3039,
    [final] ).

cnf(c_0_3955,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    c_0_3040,
    [final] ).

cnf(c_0_3956,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    c_0_3041,
    [final] ).

cnf(c_0_3957,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    c_0_3042,
    [final] ).

cnf(c_0_3958,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    c_0_3043,
    [final] ).

cnf(c_0_3959,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    c_0_3044,
    [final] ).

cnf(c_0_3960,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_3045,
    [final] ).

cnf(c_0_3961,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3046,
    [final] ).

cnf(c_0_3962,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3047,
    [final] ).

cnf(c_0_3963,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    c_0_3048,
    [final] ).

cnf(c_0_3964,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_3049,
    [final] ).

cnf(c_0_3965,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_3050,
    [final] ).

cnf(c_0_3966,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_3051,
    [final] ).

cnf(c_0_3967,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_3052,
    [final] ).

cnf(c_0_3968,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    c_0_3053,
    [final] ).

cnf(c_0_3969,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    c_0_3054,
    [final] ).

cnf(c_0_3970,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    c_0_3055,
    [final] ).

cnf(c_0_3971,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    c_0_3056,
    [final] ).

cnf(c_0_3972,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_3057,
    [final] ).

cnf(c_0_3973,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    c_0_3058,
    [final] ).

cnf(c_0_3974,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    c_0_3059,
    [final] ).

cnf(c_0_3975,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    c_0_3060,
    [final] ).

cnf(c_0_3976,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3061,
    [final] ).

cnf(c_0_3977,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3062,
    [final] ).

cnf(c_0_3978,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3063,
    [final] ).

cnf(c_0_3979,plain,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    c_0_3064,
    [final] ).

cnf(c_0_3980,plain,
    ( c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    c_0_3065,
    [final] ).

cnf(c_0_3981,plain,
    ( c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    c_0_3066,
    [final] ).

cnf(c_0_3982,plain,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    c_0_3067,
    [final] ).

cnf(c_0_3983,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3068,
    [final] ).

cnf(c_0_3984,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xs__2(v_p,v_r,X1),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,v_s____,tc_RealDef_Oreal) ),
    c_0_3069,
    [final] ).

cnf(c_0_3985,plain,
    ( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    c_0_3070,
    [final] ).

cnf(c_0_3986,plain,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_3071,
    [final] ).

cnf(c_0_3987,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    c_0_3072,
    [final] ).

cnf(c_0_3988,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_3073,
    [final] ).

cnf(c_0_3989,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_3074,
    [final] ).

cnf(c_0_3990,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X3),X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_3075,
    [final] ).

cnf(c_0_3991,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X3),X3),X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_3076,
    [final] ).

cnf(c_0_3992,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_3077,
    [final] ).

cnf(c_0_3993,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X4,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    c_0_3078,
    [final] ).

cnf(c_0_3994,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X4,X2,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_3079,
    [final] ).

cnf(c_0_3995,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_3080,
    [final] ).

cnf(c_0_3996,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X4,X2),X3,X2)
    | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
    | ~ class_Divides_Oring__div(X2) ),
    c_0_3081,
    [final] ).

cnf(c_0_3997,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_3082,
    [final] ).

cnf(c_0_3998,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_3083,
    [final] ).

cnf(c_0_3999,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_3084,
    [final] ).

cnf(c_0_4000,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    c_0_3085,
    [final] ).

cnf(c_0_4001,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_3086,
    [final] ).

cnf(c_0_4002,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_3087,
    [final] ).

cnf(c_0_4003,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_3088,
    [final] ).

cnf(c_0_4004,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_3089,
    [final] ).

cnf(c_0_4005,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_3090,
    [final] ).

cnf(c_0_4006,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_3091,
    [final] ).

cnf(c_0_4007,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_3092,
    [final] ).

cnf(c_0_4008,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Oab__semigroup__mult(X3) ),
    c_0_3093,
    [final] ).

cnf(c_0_4009,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_3094,
    [final] ).

cnf(c_0_4010,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_3095,
    [final] ).

cnf(c_0_4011,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    c_0_3096,
    [final] ).

cnf(c_0_4012,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    c_0_3097,
    [final] ).

cnf(c_0_4013,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    c_0_3098,
    [final] ).

cnf(c_0_4014,plain,
    ( c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_3099,
    [final] ).

cnf(c_0_4015,plain,
    ( c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_3100,
    [final] ).

cnf(c_0_4016,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    c_0_3101,
    [final] ).

cnf(c_0_4017,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    c_0_3102,
    [final] ).

cnf(c_0_4018,plain,
    ( c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_RealVector_Oreal__algebra(X3) ),
    c_0_3103,
    [final] ).

cnf(c_0_4019,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__algebra(X4) ),
    c_0_3104,
    [final] ).

cnf(c_0_4020,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    c_0_3105,
    [final] ).

cnf(c_0_4021,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_3106,
    [final] ).

cnf(c_0_4022,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    c_0_3107,
    [final] ).

cnf(c_0_4023,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_3108,
    [final] ).

cnf(c_0_4024,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
    c_0_3109,
    [final] ).

cnf(c_0_4025,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
    c_0_3110,
    [final] ).

cnf(c_0_4026,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    c_0_3111,
    [final] ).

cnf(c_0_4027,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    c_0_3112,
    [final] ).

cnf(c_0_4028,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Oab__semigroup__add(X3) ),
    c_0_3113,
    [final] ).

cnf(c_0_4029,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    c_0_3114,
    [final] ).

cnf(c_0_4030,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_3115,
    [final] ).

cnf(c_0_4031,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    c_0_3116,
    [final] ).

cnf(c_0_4032,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_3117,
    [final] ).

cnf(c_0_4033,plain,
    ( c_Polynomial_Opoly(c_Polynomial_Opcompose(X1,X2,X3),X4,X3) = c_Polynomial_Opoly(X1,c_Polynomial_Opoly(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
    c_0_3118,
    [final] ).

cnf(c_0_4034,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_3119,
    [final] ).

cnf(c_0_4035,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_3120,
    [final] ).

cnf(c_0_4036,plain,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_3121,
    [final] ).

cnf(c_0_4037,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_3122,
    [final] ).

cnf(c_0_4038,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_3123,
    [final] ).

cnf(c_0_4039,plain,
    ( c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3124,
    [final] ).

cnf(c_0_4040,plain,
    ( c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3125,
    [final] ).

cnf(c_0_4041,plain,
    ( c_lessequals(X3,X1,X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3126,
    [final] ).

cnf(c_0_4042,plain,
    ( c_lessequals(X3,X1,X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3127,
    [final] ).

cnf(c_0_4043,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_3128,
    [final] ).

cnf(c_0_4044,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_3129,
    [final] ).

cnf(c_0_4045,plain,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_3130,
    [final] ).

cnf(c_0_4046,plain,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_3131,
    [final] ).

cnf(c_0_4047,plain,
    ( c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_3132,
    [final] ).

cnf(c_0_4048,plain,
    ( c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_3133,
    [final] ).

cnf(c_0_4049,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_3134,
    [final] ).

cnf(c_0_4050,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_3135,
    [final] ).

cnf(c_0_4051,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3136,
    [final] ).

cnf(c_0_4052,plain,
    ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X4,X2,X3),X1,X3) = c_Divides_Odiv__class_Omod(X4,X1,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_3137,
    [final] ).

cnf(c_0_4053,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3138,
    [final] ).

cnf(c_0_4054,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    c_0_3139,
    [final] ).

cnf(c_0_4055,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_3140,
    [final] ).

cnf(c_0_4056,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    c_0_3141,
    [final] ).

cnf(c_0_4057,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    c_0_3142,
    [final] ).

cnf(c_0_4058,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X2),X2),X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    c_0_3143,
    [final] ).

cnf(c_0_4059,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X3,X1),X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_3144,
    [final] ).

cnf(c_0_4060,plain,
    ( c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X4,X5,X3)
    | X5 = c_HOL_Ozero__class_Ozero(X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(X1,X5,X3) != c_HOL_Oinverse__class_Odivide(X4,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_3145,
    [final] ).

cnf(c_0_4061,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,X2,X3) = c_HOL_Oinverse__class_Odivide(X4,X5,X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | X5 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Otimes__class_Otimes(X1,X5,X3) != c_HOL_Otimes__class_Otimes(X4,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_3146,
    [final] ).

cnf(c_0_4062,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    c_0_3147,
    [final] ).

cnf(c_0_4063,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    c_0_3148,
    [final] ).

cnf(c_0_4064,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_3149,
    [final] ).

cnf(c_0_4065,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_3150,
    [final] ).

cnf(c_0_4066,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_3151,
    [final] ).

cnf(c_0_4067,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_3152,
    [final] ).

cnf(c_0_4068,plain,
    ( c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3153,
    [final] ).

cnf(c_0_4069,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3154,
    [final] ).

cnf(c_0_4070,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3155,
    [final] ).

cnf(c_0_4071,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3156,
    [final] ).

cnf(c_0_4072,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3157,
    [final] ).

cnf(c_0_4073,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3158,
    [final] ).

cnf(c_0_4074,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    c_0_3159,
    [final] ).

cnf(c_0_4075,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    c_0_3160,
    [final] ).

cnf(c_0_4076,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    c_0_3161,
    [final] ).

cnf(c_0_4077,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_3162,
    [final] ).

cnf(c_0_4078,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    c_0_3163,
    [final] ).

cnf(c_0_4079,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_3164,
    [final] ).

cnf(c_0_4080,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    c_0_3165,
    [final] ).

cnf(c_0_4081,plain,
    ( X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) != X4
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_3166,
    [final] ).

cnf(c_0_4082,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oone__class_Oone(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3167,
    [final] ).

cnf(c_0_4083,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3168,
    [final] ).

cnf(c_0_4084,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_3169,
    [final] ).

cnf(c_0_4085,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_3170,
    [final] ).

cnf(c_0_4086,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_3171,
    [final] ).

cnf(c_0_4087,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_3172,
    [final] ).

cnf(c_0_4088,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_3173,
    [final] ).

cnf(c_0_4089,plain,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_3174,
    [final] ).

cnf(c_0_4090,plain,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_3175,
    [final] ).

cnf(c_0_4091,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_3176,
    [final] ).

cnf(c_0_4092,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_3177,
    [final] ).

cnf(c_0_4093,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_3178,
    [final] ).

cnf(c_0_4094,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    c_0_3179,
    [final] ).

cnf(c_0_4095,plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_3180,
    [final] ).

cnf(c_0_4096,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X1,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X1,X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    c_0_3181,
    [final] ).

cnf(c_0_4097,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_3182,
    [final] ).

cnf(c_0_4098,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_3183,
    [final] ).

cnf(c_0_4099,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    c_0_3184,
    [final] ).

cnf(c_0_4100,plain,
    ( c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_3185,
    [final] ).

cnf(c_0_4101,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3186,
    [final] ).

cnf(c_0_4102,plain,
    ( c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),X3)
    | ~ class_RealVector_Oreal__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    c_0_3187,
    [final] ).

cnf(c_0_4103,plain,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_3188,
    [final] ).

cnf(c_0_4104,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X3,X2),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    c_0_3189,
    [final] ).

cnf(c_0_4105,plain,
    ( c_HOL_Oord__class_Oless(X1,v_sko__local__Xs__1(v_p,v_r,X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,v_s____,tc_RealDef_Oreal) ),
    c_0_3190,
    [final] ).

cnf(c_0_4106,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X2,X3),c_RealVector_Oof__real(X1,X3),X3) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),X3)
    | ~ class_RealVector_Oreal__field(X3) ),
    c_0_3191,
    [final] ).

cnf(c_0_4107,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_3192,
    [final] ).

cnf(c_0_4108,plain,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_3193,
    [final] ).

cnf(c_0_4109,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_3194,
    [final] ).

cnf(c_0_4110,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_3195,
    [final] ).

cnf(c_0_4111,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_3196,
    [final] ).

cnf(c_0_4112,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_3197,
    [final] ).

cnf(c_0_4113,plain,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_3198,
    [final] ).

cnf(c_0_4114,plain,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_3199,
    [final] ).

cnf(c_0_4115,plain,
    ( c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_3200,
    [final] ).

cnf(c_0_4116,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_3201,
    [final] ).

cnf(c_0_4117,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X3),c_HOL_Osgn__class_Osgn(X2,X3),X3) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__div__algebra(X3) ),
    c_0_3202,
    [final] ).

cnf(c_0_4118,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X3),c_HOL_Osgn__class_Osgn(X2,X3),X3) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_3203,
    [final] ).

cnf(c_0_4119,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_3204,
    [final] ).

cnf(c_0_4120,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_3205,
    [final] ).

cnf(c_0_4121,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    c_0_3206,
    [final] ).

cnf(c_0_4122,plain,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    c_0_3207,
    [final] ).

cnf(c_0_4123,plain,
    ( c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_3208,
    [final] ).

cnf(c_0_4124,plain,
    ( c_lessequals(X3,X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_3209,
    [final] ).

cnf(c_0_4125,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = c_Divides_Odiv__class_Omod(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_3210,
    [final] ).

cnf(c_0_4126,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X1,X3) = c_Divides_Odiv__class_Omod(X2,X1,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_3211,
    [final] ).

cnf(c_0_4127,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,X2,X3)
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X3) ),
    c_0_3212,
    [final] ).

cnf(c_0_4128,plain,
    ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3) = c_Divides_Odiv__class_Omod(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_3213,
    [final] ).

cnf(c_0_4129,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2) = X3
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_3214,
    [final] ).

cnf(c_0_4130,plain,
    ( c_lessequals(X1,X3,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    c_0_3215,
    [final] ).

cnf(c_0_4131,plain,
    ( c_Polynomial_Opoly(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X2)),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Opoly(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Ocomm__ring(X2) ),
    c_0_3216,
    [final] ).

cnf(c_0_4132,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_3217,
    [final] ).

cnf(c_0_4133,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_3218,
    [final] ).

cnf(c_0_4134,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_3219,
    [final] ).

cnf(c_0_4135,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_3220,
    [final] ).

cnf(c_0_4136,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_3221,
    [final] ).

cnf(c_0_4137,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_3222,
    [final] ).

cnf(c_0_4138,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_3223,
    [final] ).

cnf(c_0_4139,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_3224,
    [final] ).

cnf(c_0_4140,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_3225,
    [final] ).

cnf(c_0_4141,plain,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_3226,
    [final] ).

cnf(c_0_4142,plain,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_3227,
    [final] ).

cnf(c_0_4143,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_3228,
    [final] ).

cnf(c_0_4144,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3229,
    [final] ).

cnf(c_0_4145,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3230,
    [final] ).

cnf(c_0_4146,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3231,
    [final] ).

cnf(c_0_4147,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3232,
    [final] ).

cnf(c_0_4148,plain,
    ( c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3233,
    [final] ).

cnf(c_0_4149,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3234,
    [final] ).

cnf(c_0_4150,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3235,
    [final] ).

cnf(c_0_4151,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3236,
    [final] ).

cnf(c_0_4152,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3237,
    [final] ).

cnf(c_0_4153,plain,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3238,
    [final] ).

cnf(c_0_4154,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_3239,
    [final] ).

cnf(c_0_4155,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_3240,
    [final] ).

cnf(c_0_4156,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_3241,
    [final] ).

cnf(c_0_4157,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_3242,
    [final] ).

cnf(c_0_4158,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_3243,
    [final] ).

cnf(c_0_4159,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    c_0_3244,
    [final] ).

cnf(c_0_4160,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    c_0_3245,
    [final] ).

cnf(c_0_4161,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    c_0_3246,
    [final] ).

cnf(c_0_4162,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_3247,
    [final] ).

cnf(c_0_4163,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    c_0_3248,
    [final] ).

cnf(c_0_4164,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    c_0_3249,
    [final] ).

cnf(c_0_4165,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    c_0_3250,
    [final] ).

cnf(c_0_4166,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_3251,
    [final] ).

cnf(c_0_4167,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_3252,
    [final] ).

cnf(c_0_4168,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_3253,
    [final] ).

cnf(c_0_4169,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Osgn__class_Osgn(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3254,
    [final] ).

cnf(c_0_4170,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_3255,
    [final] ).

cnf(c_0_4171,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_3256,
    [final] ).

cnf(c_0_4172,plain,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_3257,
    [final] ).

cnf(c_0_4173,plain,
    ( c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_3258,
    [final] ).

cnf(c_0_4174,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_3259,
    [final] ).

cnf(c_0_4175,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_3260,
    [final] ).

cnf(c_0_4176,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_3261,
    [final] ).

cnf(c_0_4177,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3262,
    [final] ).

cnf(c_0_4178,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3263,
    [final] ).

cnf(c_0_4179,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3264,
    [final] ).

cnf(c_0_4180,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3265,
    [final] ).

cnf(c_0_4181,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3266,
    [final] ).

cnf(c_0_4182,plain,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3267,
    [final] ).

cnf(c_0_4183,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3268,
    [final] ).

cnf(c_0_4184,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3269,
    [final] ).

cnf(c_0_4185,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    c_0_3270,
    [final] ).

cnf(c_0_4186,plain,
    ( X1 = X2
    | X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | c_HOL_Otimes__class_Otimes(X1,X1,X3) != c_HOL_Otimes__class_Otimes(X2,X2,X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    c_0_3271,
    [final] ).

cnf(c_0_4187,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2) = X3
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_3272,
    [final] ).

cnf(c_0_4188,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) = X3
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    c_0_3273,
    [final] ).

cnf(c_0_4189,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_3274,
    [final] ).

cnf(c_0_4190,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_3275,
    [final] ).

cnf(c_0_4191,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    c_0_3276,
    [final] ).

cnf(c_0_4192,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    c_0_3277,
    [final] ).

cnf(c_0_4193,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_3278,
    [final] ).

cnf(c_0_4194,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_3279,
    [final] ).

cnf(c_0_4195,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_3280,
    [final] ).

cnf(c_0_4196,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_3281,
    [final] ).

cnf(c_0_4197,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_3282,
    [final] ).

cnf(c_0_4198,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Osgn__class_Osgn(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3283,
    [final] ).

cnf(c_0_4199,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_3284,
    [final] ).

cnf(c_0_4200,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_3285,
    [final] ).

cnf(c_0_4201,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3286,
    [final] ).

cnf(c_0_4202,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    c_0_3287,
    [final] ).

cnf(c_0_4203,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_3288,
    [final] ).

cnf(c_0_4204,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) = c_HOL_Oinverse__class_Odivide(X2,X1,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_3289,
    [final] ).

cnf(c_0_4205,plain,
    ( c_lessequals(X1,X3,X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_3290,
    [final] ).

cnf(c_0_4206,plain,
    ( c_HOL_Oord__class_Oless(X1,X3,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_3291,
    [final] ).

cnf(c_0_4207,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_3292,
    [final] ).

cnf(c_0_4208,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_3293,
    [final] ).

cnf(c_0_4209,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
    c_0_3294,
    [final] ).

cnf(c_0_4210,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    c_0_3295,
    [final] ).

cnf(c_0_4211,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_Int_Onumber__ring(X4)
    | ~ class_Ring__and__Field_Oidom(X4) ),
    c_0_3296,
    [final] ).

cnf(c_0_4212,plain,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(X4)
    | c_RealVector_OscaleR__class_OscaleR(X1,X3,X4) != c_RealVector_OscaleR__class_OscaleR(X2,X3,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    c_0_3297,
    [final] ).

cnf(c_0_4213,plain,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_RealVector_OscaleR__class_OscaleR(X3,X1,X4) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    c_0_3298,
    [final] ).

cnf(c_0_4214,plain,
    ( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_3299,
    [final] ).

cnf(c_0_4215,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_3300,
    [final] ).

cnf(c_0_4216,plain,
    ( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    c_0_3301,
    [final] ).

cnf(c_0_4217,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    c_0_3302,
    [final] ).

cnf(c_0_4218,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_3303,
    [final] ).

cnf(c_0_4219,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_3304,
    [final] ).

cnf(c_0_4220,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_3305,
    [final] ).

cnf(c_0_4221,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_3306,
    [final] ).

cnf(c_0_4222,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X1,X2) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_3307,
    [final] ).

cnf(c_0_4223,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X1,X2) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_3308,
    [final] ).

cnf(c_0_4224,plain,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_3309,
    [final] ).

cnf(c_0_4225,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_3310,
    [final] ).

cnf(c_0_4226,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_3311,
    [final] ).

cnf(c_0_4227,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    c_0_3312,
    [final] ).

cnf(c_0_4228,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X4) ),
    c_0_3313,
    [final] ).

cnf(c_0_4229,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    c_0_3314,
    [final] ).

cnf(c_0_4230,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X1,X3,X4) != c_HOL_Oplus__class_Oplus(X2,X3,X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    c_0_3315,
    [final] ).

cnf(c_0_4231,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    c_0_3316,
    [final] ).

cnf(c_0_4232,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_3317,
    [final] ).

cnf(c_0_4233,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_3318,
    [final] ).

cnf(c_0_4234,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_3319,
    [final] ).

cnf(c_0_4235,plain,
    ( ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_3320,
    [final] ).

cnf(c_0_4236,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_3321,
    [final] ).

cnf(c_0_4237,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_3322,
    [final] ).

cnf(c_0_4238,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_3323,
    [final] ).

cnf(c_0_4239,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_3324,
    [final] ).

cnf(c_0_4240,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_3325,
    [final] ).

cnf(c_0_4241,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Oinverse__class_Odivide(X1,X3,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_3326,
    [final] ).

cnf(c_0_4242,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_3327,
    [final] ).

cnf(c_0_4243,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = X1
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_3328,
    [final] ).

cnf(c_0_4244,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = X1
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_3329,
    [final] ).

cnf(c_0_4245,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_3330,
    [final] ).

cnf(c_0_4246,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_3331,
    [final] ).

cnf(c_0_4247,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    c_0_3332,
    [final] ).

cnf(c_0_4248,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    c_0_3333,
    [final] ).

cnf(c_0_4249,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X1,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_3334,
    [final] ).

cnf(c_0_4250,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    c_0_3335,
    [final] ).

cnf(c_0_4251,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X1,X3) = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_3336,
    [final] ).

cnf(c_0_4252,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_3337,
    [final] ).

cnf(c_0_4253,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    c_0_3338,
    [final] ).

cnf(c_0_4254,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3) = X1
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_3339,
    [final] ).

cnf(c_0_4255,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = X1
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_3340,
    [final] ).

cnf(c_0_4256,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_3341,
    [final] ).

cnf(c_0_4257,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_3342,
    [final] ).

cnf(c_0_4258,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odvd(X3) ),
    c_0_3343,
    [final] ).

cnf(c_0_4259,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Otimes__class_Otimes(X1,X1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_3344,
    [final] ).

cnf(c_0_4260,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_Ring__and__Field_Oring(X2) ),
    c_0_3345,
    [final] ).

cnf(c_0_4261,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Otimes__class_Otimes(X1,X3,X2)
    | ~ class_Ring__and__Field_Oring(X2) ),
    c_0_3346,
    [final] ).

cnf(c_0_4262,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Otimes__class_Otimes(X1,X1,X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    c_0_3347,
    [final] ).

cnf(c_0_4263,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_3348,
    [final] ).

cnf(c_0_4264,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
    c_0_3349,
    [final] ).

cnf(c_0_4265,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
    c_0_3350,
    [final] ).

cnf(c_0_4266,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_3351,
    [final] ).

cnf(c_0_4267,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    c_0_3352,
    [final] ).

cnf(c_0_4268,plain,
    ( c_lessequals(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_3353,
    [final] ).

cnf(c_0_4269,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    c_0_3354,
    [final] ).

cnf(c_0_4270,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_3355,
    [final] ).

cnf(c_0_4271,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    c_0_3356,
    [final] ).

cnf(c_0_4272,plain,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    c_0_3357,
    [final] ).

cnf(c_0_4273,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_3358,
    [final] ).

cnf(c_0_4274,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_3359,
    [final] ).

cnf(c_0_4275,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Divides_Odiv__class_Omod(X2,X1,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_3360,
    [final] ).

cnf(c_0_4276,plain,
    ( c_Divides_Odiv__class_Omod(X2,X1,X3) = c_HOL_Ozero__class_Ozero(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_3361,
    [final] ).

cnf(c_0_4277,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_3362,
    [final] ).

cnf(c_0_4278,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_3363,
    [final] ).

cnf(c_0_4279,plain,
    ( c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_3364,
    [final] ).

cnf(c_0_4280,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_3365,
    [final] ).

cnf(c_0_4281,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_3366,
    [final] ).

cnf(c_0_4282,plain,
    ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_3367,
    [final] ).

cnf(c_0_4283,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_3368,
    [final] ).

cnf(c_0_4284,plain,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_3369,
    [final] ).

cnf(c_0_4285,plain,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_3370,
    [final] ).

cnf(c_0_4286,plain,
    ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_3371,
    [final] ).

cnf(c_0_4287,plain,
    ( c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_3372,
    [final] ).

cnf(c_0_4288,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_3373,
    [final] ).

cnf(c_0_4289,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_3374,
    [final] ).

cnf(c_0_4290,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_3375,
    [final] ).

cnf(c_0_4291,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_3376,
    [final] ).

cnf(c_0_4292,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_3377,
    [final] ).

cnf(c_0_4293,plain,
    ( X2 = X1
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_3378,
    [final] ).

cnf(c_0_4294,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_3379,
    [final] ).

cnf(c_0_4295,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_3380,
    [final] ).

cnf(c_0_4296,plain,
    ( c_lessequals(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    c_0_3381,
    [final] ).

cnf(c_0_4297,plain,
    ( c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    c_0_3382,
    [final] ).

cnf(c_0_4298,plain,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    c_0_3383,
    [final] ).

cnf(c_0_4299,plain,
    ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    c_0_3384,
    [final] ).

cnf(c_0_4300,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Odivide(X1,X2,X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_3385,
    [final] ).

cnf(c_0_4301,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_3386,
    [final] ).

cnf(c_0_4302,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_3387,
    [final] ).

cnf(c_0_4303,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_3388,
    [final] ).

cnf(c_0_4304,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_3389,
    [final] ).

cnf(c_0_4305,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_3390,
    [final] ).

cnf(c_0_4306,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_3391,
    [final] ).

cnf(c_0_4307,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_Int_Onumber__ring(X3) ),
    c_0_3392,
    [final] ).

cnf(c_0_4308,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_3393,
    [final] ).

cnf(c_0_4309,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_3394,
    [final] ).

cnf(c_0_4310,plain,
    ( c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X3),X2,X3) = c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    c_0_3395,
    [final] ).

cnf(c_0_4311,plain,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_3396,
    [final] ).

cnf(c_0_4312,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Odivide(X1,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_3397,
    [final] ).

cnf(c_0_4313,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_3398,
    [final] ).

cnf(c_0_4314,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    c_0_3399,
    [final] ).

cnf(c_0_4315,plain,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_3400,
    [final] ).

cnf(c_0_4316,plain,
    ( c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_3401,
    [final] ).

cnf(c_0_4317,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    c_0_3402,
    [final] ).

cnf(c_0_4318,plain,
    ( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_3403,
    [final] ).

cnf(c_0_4319,plain,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_3404,
    [final] ).

cnf(c_0_4320,plain,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oabs__if(X2) ),
    c_0_3405,
    [final] ).

cnf(c_0_4321,plain,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_3406,
    [final] ).

cnf(c_0_4322,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    c_0_3407,
    [final] ).

cnf(c_0_4323,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Osgn__if(X2) ),
    c_0_3408,
    [final] ).

cnf(c_0_4324,plain,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_3409,
    [final] ).

cnf(c_0_4325,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    c_0_3410,
    [final] ).

cnf(c_0_4326,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_3411,
    [final] ).

cnf(c_0_4327,plain,
    ( c_HOL_Osgn__class_Osgn(X2,X1) = c_HOL_Oone__class_Oone(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3412,
    [final] ).

cnf(c_0_4328,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_3413,
    [final] ).

cnf(c_0_4329,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_3414,
    [final] ).

cnf(c_0_4330,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X2 = X1
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_3415,
    [final] ).

cnf(c_0_4331,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_3416,
    [final] ).

cnf(c_0_4332,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_3417,
    [final] ).

cnf(c_0_4333,plain,
    ( c_HOL_Oabs__class_Oabs(X2,X1) = X2
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_3418,
    [final] ).

cnf(c_0_4334,plain,
    ( c_HOL_Oabs__class_Oabs(X2,X1) = X2
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_3419,
    [final] ).

cnf(c_0_4335,plain,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_3420,
    [final] ).

cnf(c_0_4336,plain,
    ( c_lessequals(X1,X1,X2)
    | c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_3421,
    [final] ).

cnf(c_0_4337,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_3422,
    [final] ).

cnf(c_0_4338,plain,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_3423,
    [final] ).

cnf(c_0_4339,plain,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_3424,
    [final] ).

cnf(c_0_4340,plain,
    ( c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_3425,
    [final] ).

cnf(c_0_4341,plain,
    ( c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_3426,
    [final] ).

cnf(c_0_4342,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_3427,
    [final] ).

cnf(c_0_4343,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_3428,
    [final] ).

cnf(c_0_4344,plain,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
    c_0_3429,
    [final] ).

cnf(c_0_4345,plain,
    ( c_HOL_Oinverse__class_Oinverse(X1,X2) = X3
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_3430,
    [final] ).

cnf(c_0_4346,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) = X1
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_3431,
    [final] ).

cnf(c_0_4347,plain,
    ( c_HOL_Ouminus__class_Ouminus(X1,X2) = X3
    | c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_3432,
    [final] ).

cnf(c_0_4348,plain,
    ( X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | c_HOL_Oplus__class_Oplus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_3433,
    [final] ).

cnf(c_0_4349,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2),X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ class_Int_Onumber__ring(X2) ),
    c_0_3434,
    [final] ).

cnf(c_0_4350,plain,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_3435,
    [final] ).

cnf(c_0_4351,plain,
    ( c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    c_0_3436,
    [final] ).

cnf(c_0_4352,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_3437,
    [final] ).

cnf(c_0_4353,plain,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_3438,
    [final] ).

cnf(c_0_4354,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    c_0_3439,
    [final] ).

cnf(c_0_4355,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    c_0_3440,
    [final] ).

cnf(c_0_4356,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    c_0_3441,
    [final] ).

cnf(c_0_4357,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    c_0_3442,
    [final] ).

cnf(c_0_4358,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_RealVector_OscaleR__class_OscaleR(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    c_0_3443,
    [final] ).

cnf(c_0_4359,plain,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_3444,
    [final] ).

cnf(c_0_4360,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Osgn__if(X2) ),
    c_0_3445,
    [final] ).

cnf(c_0_4361,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(X3,X1,X2) != X3
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    c_0_3446,
    [final] ).

cnf(c_0_4362,plain,
    ( X1 = X2
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(X1,X2,X3) != c_HOL_Oone__class_Oone(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_3447,
    [final] ).

cnf(c_0_4363,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    c_0_3448,
    [final] ).

cnf(c_0_4364,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_HOL_Oabs__class_Oabs(X1,X3) != c_HOL_Oabs__class_Oabs(X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_3449,
    [final] ).

cnf(c_0_4365,plain,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_3450,
    [final] ).

cnf(c_0_4366,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(X1,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_3451,
    [final] ).

cnf(c_0_4367,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_3452,
    [final] ).

cnf(c_0_4368,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_3453,
    [final] ).

cnf(c_0_4369,plain,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_3454,
    [final] ).

cnf(c_0_4370,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    c_0_3455,
    [final] ).

cnf(c_0_4371,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_3456,
    [final] ).

cnf(c_0_4372,plain,
    ( X1 = c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal)
    | c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_3457,
    [final] ).

cnf(c_0_4373,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_3458,
    [final] ).

cnf(c_0_4374,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_3459,
    [final] ).

cnf(c_0_4375,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_3460,
    [final] ).

cnf(c_0_4376,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_3461,
    [final] ).

cnf(c_0_4377,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_3462,
    [final] ).

cnf(c_0_4378,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Osgn__class_Osgn(X2,X1) != c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3463,
    [final] ).

cnf(c_0_4379,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_3464,
    [final] ).

cnf(c_0_4380,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3465,
    [final] ).

cnf(c_0_4381,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_3466,
    [final] ).

cnf(c_0_4382,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_3467,
    [final] ).

cnf(c_0_4383,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_3468,
    [final] ).

cnf(c_0_4384,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    c_0_3469,
    [final] ).

cnf(c_0_4385,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    c_0_3470,
    [final] ).

cnf(c_0_4386,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    c_0_3471,
    [final] ).

cnf(c_0_4387,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_3472,
    [final] ).

cnf(c_0_4388,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_3473,
    [final] ).

cnf(c_0_4389,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    c_0_3474,
    [final] ).

cnf(c_0_4390,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_3475,
    [final] ).

cnf(c_0_4391,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_3476,
    [final] ).

cnf(c_0_4392,plain,
    ( c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X2),X2)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_3477,
    [final] ).

cnf(c_0_4393,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = X1
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_3478,
    [final] ).

cnf(c_0_4394,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_3479,
    [final] ).

cnf(c_0_4395,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2) = c_HOL_Oinverse__class_Oinverse(X1,X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_3480,
    [final] ).

cnf(c_0_4396,plain,
    ( c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_3481,
    [final] ).

cnf(c_0_4397,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2) = c_HOL_Oinverse__class_Oinverse(X1,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_3482,
    [final] ).

cnf(c_0_4398,plain,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X1,X2),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_3483,
    [final] ).

cnf(c_0_4399,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_3484,
    [final] ).

cnf(c_0_4400,plain,
    ( c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X2),X2)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    c_0_3485,
    [final] ).

cnf(c_0_4401,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = X1
    | ~ class_Ring__and__Field_Oabs__if(X2) ),
    c_0_3486,
    [final] ).

cnf(c_0_4402,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oone__class_Oone(X2),X2) = c_RealVector_Oof__real(X1,X2)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    c_0_3487,
    [final] ).

cnf(c_0_4403,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(X2,X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_3488,
    [final] ).

cnf(c_0_4404,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2) = c_HOL_Oinverse__class_Oinverse(X1,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_3489,
    [final] ).

cnf(c_0_4405,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_3490,
    [final] ).

cnf(c_0_4406,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_3491,
    [final] ).

cnf(c_0_4407,plain,
    ( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_3492,
    [final] ).

cnf(c_0_4408,plain,
    ( c_RealVector_OscaleR__class_OscaleR(v_r,c_HOL_Oone__class_Oone(X1),X1) = c_RealVector_Oof__real(v_r,X1)
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    c_0_3493,
    [final] ).

cnf(c_0_4409,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_3494,
    [final] ).

cnf(c_0_4410,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_3495,
    [final] ).

cnf(c_0_4411,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    c_0_3496,
    [final] ).

cnf(c_0_4412,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_3497,
    [final] ).

cnf(c_0_4413,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    c_0_3498,
    [final] ).

cnf(c_0_4414,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    c_0_3499,
    [final] ).

cnf(c_0_4415,plain,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    c_0_3500,
    [final] ).

cnf(c_0_4416,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_3501,
    [final] ).

cnf(c_0_4417,plain,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    c_0_3502,
    [final] ).

cnf(c_0_4418,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_3503,
    [final] ).

cnf(c_0_4419,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    c_0_3504,
    [final] ).

cnf(c_0_4420,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_3505,
    [final] ).

cnf(c_0_4421,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_3506,
    [final] ).

cnf(c_0_4422,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_3507,
    [final] ).

cnf(c_0_4423,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_3508,
    [final] ).

cnf(c_0_4424,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_3509,
    [final] ).

cnf(c_0_4425,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Omult__zero(X1) ),
    c_0_3510,
    [final] ).

cnf(c_0_4426,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2) ),
    c_0_3511,
    [final] ).

cnf(c_0_4427,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
    c_0_3512,
    [final] ).

cnf(c_0_4428,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    c_0_3513,
    [final] ).

cnf(c_0_4429,plain,
    ( c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_3514,
    [final] ).

cnf(c_0_4430,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_3515,
    [final] ).

cnf(c_0_4431,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__field(X1) ),
    c_0_3516,
    [final] ).

cnf(c_0_4432,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_3517,
    [final] ).

cnf(c_0_4433,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_3518,
    [final] ).

cnf(c_0_4434,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = X1 ),
    c_0_3519,
    [final] ).

cnf(c_0_4435,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_3520,
    [final] ).

cnf(c_0_4436,plain,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_3521,
    [final] ).

cnf(c_0_4437,plain,
    ( c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_3522,
    [final] ).

cnf(c_0_4438,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
    | ~ class_OrderedGroup_Omonoid__mult(X2) ),
    c_0_3523,
    [final] ).

cnf(c_0_4439,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    c_0_3524,
    [final] ).

cnf(c_0_4440,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    c_0_3525,
    [final] ).

cnf(c_0_4441,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_3526,
    [final] ).

cnf(c_0_4442,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    c_0_3527,
    [final] ).

cnf(c_0_4443,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_3528,
    [final] ).

cnf(c_0_4444,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_3529,
    [final] ).

cnf(c_0_4445,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    c_0_3530,
    [final] ).

cnf(c_0_4446,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Omonoid__add(X2) ),
    c_0_3531,
    [final] ).

cnf(c_0_4447,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    c_0_3532,
    [final] ).

cnf(c_0_4448,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    c_0_3533,
    [final] ).

cnf(c_0_4449,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_3534,
    [final] ).

cnf(c_0_4450,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    c_0_3535,
    [final] ).

cnf(c_0_4451,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    c_0_3536,
    [final] ).

cnf(c_0_4452,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_3537,
    [final] ).

cnf(c_0_4453,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),X2,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_3538,
    [final] ).

cnf(c_0_4454,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    c_0_3539,
    [final] ).

cnf(c_0_4455,plain,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,X2) = X1
    | ~ class_RealVector_Oreal__vector(X2) ),
    c_0_3540,
    [final] ).

cnf(c_0_4456,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    c_0_3541,
    [final] ).

cnf(c_0_4457,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_3542,
    [final] ).

cnf(c_0_4458,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_3543,
    [final] ).

cnf(c_0_4459,plain,
    ( c_Divides_Odiv__class_Omod(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_3544,
    [final] ).

cnf(c_0_4460,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = X3
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Oinverse__class_Oinverse(X3,X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_3545,
    [final] ).

cnf(c_0_4461,plain,
    ( c_HOL_Otimes__class_Otimes(X1,X1,X2) = X1
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
    c_0_3546,
    [final] ).

cnf(c_0_4462,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    c_0_3547,
    [final] ).

cnf(c_0_4463,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    c_0_3548,
    [final] ).

cnf(c_0_4464,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    c_0_3549,
    [final] ).

cnf(c_0_4465,plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1),X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_3550,
    [final] ).

cnf(c_0_4466,plain,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X2),X2) = c_HOL_Osgn__class_Osgn(X1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_3551,
    [final] ).

cnf(c_0_4467,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_3552,
    [final] ).

cnf(c_0_4468,plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_RealVector_Onorm__class_Onorm(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_3553,
    [final] ).

cnf(c_0_4469,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_3554,
    [final] ).

cnf(c_0_4470,plain,
    ( X1 = X2
    | c_HOL_Oinverse__class_Oinverse(X1,X3) != c_HOL_Oinverse__class_Oinverse(X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Odivision__ring(X3) ),
    c_0_3555,
    [final] ).

cnf(c_0_4471,plain,
    ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra__1(X2) ),
    c_0_3556,
    [final] ).

cnf(c_0_4472,plain,
    ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_3557,
    [final] ).

cnf(c_0_4473,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = X1
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_3558,
    [final] ).

cnf(c_0_4474,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X1,X2),X2) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_3559,
    [final] ).

cnf(c_0_4475,plain,
    ( X1 = X2
    | c_RealVector_Oof__real(X1,X3) != c_RealVector_Oof__real(X2,X3)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    c_0_3560,
    [final] ).

cnf(c_0_4476,plain,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    c_0_3561,
    [final] ).

cnf(c_0_4477,plain,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_3562,
    [final] ).

cnf(c_0_4478,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = X1
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_3563,
    [final] ).

cnf(c_0_4479,plain,
    ( X1 = c_HOL_Oone__class_Oone(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_3564,
    [final] ).

cnf(c_0_4480,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_3565,
    [final] ).

cnf(c_0_4481,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_3566,
    [final] ).

cnf(c_0_4482,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_3567,
    [final] ).

cnf(c_0_4483,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_3568,
    [final] ).

cnf(c_0_4484,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    c_0_3569,
    [final] ).

cnf(c_0_4485,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_3570,
    [final] ).

cnf(c_0_4486,plain,
    ( X1 = X2
    | c_RealDef_Oreal(X1,tc_nat) != c_RealDef_Oreal(X2,tc_nat) ),
    c_0_3571,
    [final] ).

cnf(c_0_4487,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_3572,
    [final] ).

cnf(c_0_4488,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_3573,
    [final] ).

cnf(c_0_4489,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_3574,
    [final] ).

cnf(c_0_4490,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_3575,
    [final] ).

cnf(c_0_4491,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_3576,
    [final] ).

cnf(c_0_4492,plain,
    ( c_HOL_Ozero__class_Ozero(X1) = X2
    | c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_3577,
    [final] ).

cnf(c_0_4493,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_RealVector_Oof__real(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    c_0_3578,
    [final] ).

cnf(c_0_4494,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_RealVector_Onorm__class_Onorm(X1,X2) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_3579,
    [final] ).

cnf(c_0_4495,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Odivision__ring(X1) ),
    c_0_3580,
    [final] ).

cnf(c_0_4496,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_3581,
    [final] ).

cnf(c_0_4497,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(X1,X2) != X1
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    c_0_3582,
    [final] ).

cnf(c_0_4498,plain,
    ( c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_3583,
    [final] ).

cnf(c_0_4499,plain,
    ( c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X1),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Transcendental_Osin(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_3584,
    [final] ).

cnf(c_0_4500,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    c_0_3585,
    [final] ).

cnf(c_0_4501,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3586,
    [final] ).

cnf(c_0_4502,plain,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_3587,
    [final] ).

cnf(c_0_4503,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Odivision__ring(X1) ),
    c_0_3588,
    [final] ).

cnf(c_0_4504,plain,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_RealVector_Oreal__normed__algebra__1(X1) ),
    c_0_3589,
    [final] ).

cnf(c_0_4505,plain,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_3590,
    [final] ).

cnf(c_0_4506,plain,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Osgn__if(X1) ),
    c_0_3591,
    [final] ).

cnf(c_0_4507,plain,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3592,
    [final] ).

cnf(c_0_4508,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    c_0_3593,
    [final] ).

cnf(c_0_4509,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_3594,
    [final] ).

cnf(c_0_4510,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_3595,
    [final] ).

cnf(c_0_4511,plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra__1(X1) ),
    c_0_3596,
    [final] ).

cnf(c_0_4512,plain,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_3597,
    [final] ).

cnf(c_0_4513,plain,
    ( c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    c_0_3598,
    [final] ).

cnf(c_0_4514,plain,
    ( c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    c_0_3599,
    [final] ).

cnf(c_0_4515,plain,
    ( c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
    c_0_3600,
    [final] ).

cnf(c_0_4516,plain,
    ( c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
    c_0_3601,
    [final] ).

cnf(c_0_4517,plain,
    ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
    c_0_3602,
    [final] ).

cnf(c_0_4518,plain,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3603,
    [final] ).

cnf(c_0_4519,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3604,
    [final] ).

cnf(c_0_4520,plain,
    ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3605,
    [final] ).

cnf(c_0_4521,plain,
    ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3606,
    [final] ).

cnf(c_0_4522,plain,
    ( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3607,
    [final] ).

cnf(c_0_4523,plain,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3608,
    [final] ).

cnf(c_0_4524,plain,
    ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3609,
    [final] ).

cnf(c_0_4525,plain,
    ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3610,
    [final] ).

cnf(c_0_4526,plain,
    ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_3611,
    [final] ).

cnf(c_0_4527,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
    c_0_3612,
    [final] ).

cnf(c_0_4528,plain,
    ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3613,
    [final] ).

cnf(c_0_4529,plain,
    ( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3614,
    [final] ).

cnf(c_0_4530,plain,
    ( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3615,
    [final] ).

cnf(c_0_4531,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
    c_0_3616,
    [final] ).

cnf(c_0_4532,plain,
    ( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3617,
    [final] ).

cnf(c_0_4533,plain,
    ( class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3618,
    [final] ).

cnf(c_0_4534,plain,
    ( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3619,
    [final] ).

cnf(c_0_4535,plain,
    ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_3620,
    [final] ).

cnf(c_0_4536,plain,
    ( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3621,
    [final] ).

cnf(c_0_4537,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_3622,
    [final] ).

cnf(c_0_4538,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    c_0_3623,
    [final] ).

cnf(c_0_4539,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    c_0_3624,
    [final] ).

cnf(c_0_4540,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_3625,
    [final] ).

cnf(c_0_4541,plain,
    ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    c_0_3626,
    [final] ).

cnf(c_0_4542,plain,
    ( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3627,
    [final] ).

cnf(c_0_4543,plain,
    ( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    c_0_3628,
    [final] ).

cnf(c_0_4544,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    c_0_3629,
    [final] ).

cnf(c_0_4545,plain,
    ( class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_3630,
    [final] ).

cnf(c_0_4546,plain,
    ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3631,
    [final] ).

cnf(c_0_4547,plain,
    ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_3632,
    [final] ).

cnf(c_0_4548,plain,
    ( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3633,
    [final] ).

cnf(c_0_4549,plain,
    ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_3634,
    [final] ).

cnf(c_0_4550,plain,
    ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    c_0_3635,
    [final] ).

cnf(c_0_4551,plain,
    ( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3636,
    [final] ).

cnf(c_0_4552,plain,
    ( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    c_0_3637,
    [final] ).

cnf(c_0_4553,plain,
    ( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_3638,
    [final] ).

cnf(c_0_4554,plain,
    ( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    c_0_3639,
    [final] ).

cnf(c_0_4555,plain,
    ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    c_0_3640,
    [final] ).

cnf(c_0_4556,plain,
    ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_3641,
    [final] ).

cnf(c_0_4557,plain,
    ( class_Ring__and__Field_Osgn__if(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3642,
    [final] ).

cnf(c_0_4558,plain,
    ( class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3643,
    [final] ).

cnf(c_0_4559,plain,
    ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_3644,
    [final] ).

cnf(c_0_4560,plain,
    ( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    c_0_3645,
    [final] ).

cnf(c_0_4561,plain,
    ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_3646,
    [final] ).

cnf(c_0_4562,plain,
    ( class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_3647,
    [final] ).

cnf(c_0_4563,plain,
    ( class_Orderings_Opreorder(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3648,
    [final] ).

cnf(c_0_4564,plain,
    ( class_Orderings_Olinorder(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3649,
    [final] ).

cnf(c_0_4565,plain,
    ( class_Divides_Oring__div(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_3650,
    [final] ).

cnf(c_0_4566,plain,
    ( class_Orderings_Oorder(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_3651,
    [final] ).

cnf(c_0_4567,plain,
    ( class_Int_Onumber__ring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_3652,
    [final] ).

cnf(c_0_4568,plain,
    ( c_Transcendental_Osin(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X1) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    c_0_3653,
    [final] ).

cnf(c_0_4569,plain,
    ( X1 = X2
    | c_NthRoot_Osqrt(X1) != c_NthRoot_Osqrt(X2) ),
    c_0_3654,
    [final] ).

cnf(c_0_4570,plain,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    c_0_3655,
    [final] ).

cnf(c_0_4571,plain,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    c_0_3656,
    [final] ).

cnf(c_0_4572,plain,
    ( X1 = X2
    | c_Complex_Ocnj(X1) != c_Complex_Ocnj(X2) ),
    c_0_3657,
    [final] ).

cnf(c_0_4573,plain,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    c_0_3658,
    [final] ).

cnf(c_0_4574,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_3659,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_3660_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X3),X5,X3),X3),c_HOL_Otimes__class_Otimes(X4,c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3660]) ).

cnf(c_0_3660_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X3),X5,X3),X3),c_HOL_Otimes__class_Otimes(X4,c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3660]) ).

cnf(c_0_3661_0,axiom,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3661]) ).

cnf(c_0_3661_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3661]) ).

cnf(c_0_3662_0,axiom,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3662]) ).

cnf(c_0_3662_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3662]) ).

cnf(c_0_3663_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X5,X3),X6,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X4,X3),X6,X3),X5,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3),X6,X3)
    | ~ class_RealVector_Oreal__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3663]) ).

cnf(c_0_3663_1,axiom,
    ( ~ class_RealVector_Oreal__field(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X5,X3),X6,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X4,X3),X6,X3),X5,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3),X6,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3663]) ).

cnf(c_0_3664_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X2),X4,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X4,X2)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3664]) ).

cnf(c_0_3664_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X2),X4,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X4,X2)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3664]) ).

cnf(c_0_3664_2,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X2),X4,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X4,X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3664]) ).

cnf(c_0_3664_3,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X3,X2),X4,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X4,X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3664]) ).

cnf(c_0_3665_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
    | ~ class_Ring__and__Field_Opordered__ring(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3665]) ).

cnf(c_0_3665_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
    | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
    | ~ class_Ring__and__Field_Opordered__ring(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3665]) ).

cnf(c_0_3665_2,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X4)
    | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
    | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3665]) ).

cnf(c_0_3666_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3666]) ).

cnf(c_0_3666_1,axiom,
    ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3666]) ).

cnf(c_0_3666_2,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3666]) ).

cnf(c_0_3667_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3667]) ).

cnf(c_0_3667_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3667]) ).

cnf(c_0_3667_2,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3667]) ).

cnf(c_0_3668_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
    | ~ class_Ring__and__Field_Opordered__ring(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3668]) ).

cnf(c_0_3668_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
    | ~ class_Ring__and__Field_Opordered__ring(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3668]) ).

cnf(c_0_3668_2,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3668]) ).

cnf(c_0_3669_0,axiom,
    ( c_lessequals(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3669]) ).

cnf(c_0_3669_1,axiom,
    ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | c_lessequals(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3669]) ).

cnf(c_0_3669_2,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | c_lessequals(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3669]) ).

cnf(c_0_3670_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3670]) ).

cnf(c_0_3670_1,axiom,
    ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3670]) ).

cnf(c_0_3670_2,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3670]) ).

cnf(c_0_3671_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3671]) ).

cnf(c_0_3671_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3671]) ).

cnf(c_0_3671_2,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3671]) ).

cnf(c_0_3672_0,axiom,
    ( c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3672]) ).

cnf(c_0_3672_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3672]) ).

cnf(c_0_3672_2,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3672]) ).

cnf(c_0_3673_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X4,X6,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X4,c_HOL_Otimes__class_Otimes(X5,X2,X3),X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__ring(X3)
    | ~ class_Ring__and__Field_Odvd(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3673]) ).

cnf(c_0_3673_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X4,X6,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X4,c_HOL_Otimes__class_Otimes(X5,X2,X3),X3),X6,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__ring(X3)
    | ~ class_Ring__and__Field_Odvd(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3673]) ).

cnf(c_0_3673_2,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X4,c_HOL_Otimes__class_Otimes(X5,X2,X3),X3),X6,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X4,X6,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__ring(X3)
    | ~ class_Ring__and__Field_Odvd(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3673]) ).

cnf(c_0_3673_3,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X4,c_HOL_Otimes__class_Otimes(X5,X2,X3),X3),X6,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X4,X6,X3),X3)
    | ~ class_Ring__and__Field_Odvd(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3673]) ).

cnf(c_0_3673_4,axiom,
    ( ~ class_Ring__and__Field_Odvd(X3)
    | ~ class_Ring__and__Field_Ocomm__ring(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X4,c_HOL_Otimes__class_Otimes(X5,X2,X3),X3),X6,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X4,X6,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3673]) ).

cnf(c_0_3674_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X4,c_HOL_Otimes__class_Otimes(X6,X2,X3),X3),X5,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__ring(X3)
    | ~ class_Ring__and__Field_Odvd(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3674]) ).

cnf(c_0_3674_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X4,c_HOL_Otimes__class_Otimes(X6,X2,X3),X3),X5,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__ring(X3)
    | ~ class_Ring__and__Field_Odvd(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3674]) ).

cnf(c_0_3674_2,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X4,c_HOL_Otimes__class_Otimes(X6,X2,X3),X3),X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__ring(X3)
    | ~ class_Ring__and__Field_Odvd(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3674]) ).

cnf(c_0_3674_3,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X4,c_HOL_Otimes__class_Otimes(X6,X2,X3),X3),X5,X3),X3)
    | ~ class_Ring__and__Field_Odvd(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3674]) ).

cnf(c_0_3674_4,axiom,
    ( ~ class_Ring__and__Field_Odvd(X3)
    | ~ class_Ring__and__Field_Ocomm__ring(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X4,c_HOL_Otimes__class_Otimes(X6,X2,X3),X3),X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3674]) ).

cnf(c_0_3675_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3675]) ).

cnf(c_0_3675_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3675]) ).

cnf(c_0_3676_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3676]) ).

cnf(c_0_3676_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3676]) ).

cnf(c_0_3677_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X3),X2,X3),X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X3),X5,X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3677]) ).

cnf(c_0_3677_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X3),X2,X3),X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X3),X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3677]) ).

cnf(c_0_3678_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3678]) ).

cnf(c_0_3678_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3678]) ).

cnf(c_0_3678_2,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | 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_3678]) ).

cnf(c_0_3678_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3678]) ).

cnf(c_0_3679_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X4,X3,X2),c_HOL_Otimes__class_Otimes(X5,X1,X2),X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X4,X1,X2),c_HOL_Oinverse__class_Odivide(X5,X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3679]) ).

cnf(c_0_3679_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X4,X3,X2),c_HOL_Otimes__class_Otimes(X5,X1,X2),X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X4,X1,X2),c_HOL_Oinverse__class_Odivide(X5,X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3679]) ).

cnf(c_0_3679_2,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X4,X3,X2),c_HOL_Otimes__class_Otimes(X5,X1,X2),X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X4,X1,X2),c_HOL_Oinverse__class_Odivide(X5,X3,X2),X2)
    | 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_3679]) ).

cnf(c_0_3679_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X4,X3,X2),c_HOL_Otimes__class_Otimes(X5,X1,X2),X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X4,X1,X2),c_HOL_Oinverse__class_Odivide(X5,X3,X2),X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3679]) ).

cnf(c_0_3680_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,X2),c_HOL_Otimes__class_Otimes(X5,X1,X2),X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X1,X2),c_HOL_Oinverse__class_Odivide(X5,X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3680]) ).

cnf(c_0_3680_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,X2),c_HOL_Otimes__class_Otimes(X5,X1,X2),X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X1,X2),c_HOL_Oinverse__class_Odivide(X5,X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3680]) ).

cnf(c_0_3680_2,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,X2),c_HOL_Otimes__class_Otimes(X5,X1,X2),X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X1,X2),c_HOL_Oinverse__class_Odivide(X5,X3,X2),X2)
    | 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_3680]) ).

cnf(c_0_3680_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X3,X2),c_HOL_Otimes__class_Otimes(X5,X1,X2),X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X4,X1,X2),c_HOL_Oinverse__class_Odivide(X5,X3,X2),X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3680]) ).

cnf(c_0_3681_0,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3681]) ).

cnf(c_0_3681_1,axiom,
    ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3681]) ).

cnf(c_0_3681_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3681]) ).

cnf(c_0_3682_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3682]) ).

cnf(c_0_3682_1,axiom,
    ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3682]) ).

cnf(c_0_3682_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3682]) ).

cnf(c_0_3683_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3683]) ).

cnf(c_0_3683_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3683]) ).

cnf(c_0_3684_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3) = X6
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3684]) ).

cnf(c_0_3684_1,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3) = X6
    | ~ class_Ring__and__Field_Oring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3684]) ).

cnf(c_0_3684_2,axiom,
    ( ~ class_Ring__and__Field_Oring(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3) = X6 ),
    inference(literals_permutation,[status(thm)],[c_0_3684]) ).

cnf(c_0_3685_0,axiom,
    ( X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4)
    | ~ class_Ring__and__Field_Oring(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3685]) ).

cnf(c_0_3685_1,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4)
    | X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4)
    | ~ class_Ring__and__Field_Oring(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3685]) ).

cnf(c_0_3685_2,axiom,
    ( ~ class_Ring__and__Field_Oring(X4)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4)
    | X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3685]) ).

cnf(c_0_3686_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X3),X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3),X5,X3)
    | ~ class_Ring__and__Field_Osemiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3686]) ).

cnf(c_0_3686_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X4,X2,X3),X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3),X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3686]) ).

cnf(c_0_3687_0,axiom,
    ( X1 = X2
    | X3 = X4
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_3687]) ).

cnf(c_0_3687_1,axiom,
    ( X3 = X4
    | X1 = X2
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_3687]) ).

cnf(c_0_3687_2,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | X3 = X4
    | X1 = X2
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_3687]) ).

cnf(c_0_3687_3,axiom,
    ( ~ class_Int_Onumber__ring(X5)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | X3 = X4
    | X1 = X2
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_3687]) ).

cnf(c_0_3687_4,axiom,
    ( ~ class_Ring__and__Field_Oidom(X5)
    | ~ class_Int_Onumber__ring(X5)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | X3 = X4
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3687]) ).

cnf(c_0_3688_0,axiom,
    ( X1 = X2
    | X3 = X4
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_3688]) ).

cnf(c_0_3688_1,axiom,
    ( X3 = X4
    | X1 = X2
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_3688]) ).

cnf(c_0_3688_2,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | X3 = X4
    | X1 = X2
    | ~ class_Int_Onumber__ring(X5)
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_3688]) ).

cnf(c_0_3688_3,axiom,
    ( ~ class_Int_Onumber__ring(X5)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | X3 = X4
    | X1 = X2
    | ~ class_Ring__and__Field_Oidom(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_3688]) ).

cnf(c_0_3688_4,axiom,
    ( ~ class_Ring__and__Field_Oidom(X5)
    | ~ class_Int_Onumber__ring(X5)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,X5),c_HOL_Otimes__class_Otimes(X2,X4,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X5),c_HOL_Otimes__class_Otimes(X2,X3,X5),X5)
    | X3 = X4
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_3688]) ).

cnf(c_0_3689_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3689]) ).

cnf(c_0_3689_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3689]) ).

cnf(c_0_3689_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3689]) ).

cnf(c_0_3689_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3689]) ).

cnf(c_0_3690_0,axiom,
    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xs1__1(v_p,v_r,X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3690]) ).

cnf(c_0_3690_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xs1__1(v_p,v_r,X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3690]) ).

cnf(c_0_3691_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3691]) ).

cnf(c_0_3691_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3691]) ).

cnf(c_0_3691_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3691]) ).

cnf(c_0_3691_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3691]) ).

cnf(c_0_3691_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3691]) ).

cnf(c_0_3691_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3691]) ).

cnf(c_0_3692_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3692]) ).

cnf(c_0_3692_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3692]) ).

cnf(c_0_3692_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3692]) ).

cnf(c_0_3692_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3692]) ).

cnf(c_0_3692_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3692]) ).

cnf(c_0_3692_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3692]) ).

cnf(c_0_3693_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3693]) ).

cnf(c_0_3693_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3693]) ).

cnf(c_0_3693_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3693]) ).

cnf(c_0_3693_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3693]) ).

cnf(c_0_3693_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3693]) ).

cnf(c_0_3693_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3693]) ).

cnf(c_0_3694_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3694]) ).

cnf(c_0_3694_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3694]) ).

cnf(c_0_3694_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3694]) ).

cnf(c_0_3694_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3694]) ).

cnf(c_0_3694_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3694]) ).

cnf(c_0_3694_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3694]) ).

cnf(c_0_3695_0,axiom,
    ( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3695]) ).

cnf(c_0_3695_1,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3695]) ).

cnf(c_0_3695_2,axiom,
    ( ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3695]) ).

cnf(c_0_3695_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3695]) ).

cnf(c_0_3695_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3695]) ).

cnf(c_0_3695_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3695]) ).

cnf(c_0_3696_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3696]) ).

cnf(c_0_3696_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3696]) ).

cnf(c_0_3696_2,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3696]) ).

cnf(c_0_3696_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3696]) ).

cnf(c_0_3696_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3696]) ).

cnf(c_0_3696_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3696]) ).

cnf(c_0_3697_0,axiom,
    ( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3697]) ).

cnf(c_0_3697_1,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3697]) ).

cnf(c_0_3697_2,axiom,
    ( ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3697]) ).

cnf(c_0_3697_3,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3697]) ).

cnf(c_0_3697_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3697]) ).

cnf(c_0_3697_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3697]) ).

cnf(c_0_3698_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3698]) ).

cnf(c_0_3698_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3698]) ).

cnf(c_0_3698_2,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3698]) ).

cnf(c_0_3698_3,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3698]) ).

cnf(c_0_3698_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3698]) ).

cnf(c_0_3698_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3698]) ).

cnf(c_0_3699_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3699]) ).

cnf(c_0_3699_1,axiom,
    ( ~ class_Divides_Oring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3699]) ).

cnf(c_0_3700_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3700]) ).

cnf(c_0_3700_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3700]) ).

cnf(c_0_3701_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3701]) ).

cnf(c_0_3701_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3701]) ).

cnf(c_0_3702_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)
    | c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__unknown__thm__rcM__1(v_p,v_r),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3702]) ).

cnf(c_0_3702_1,axiom,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__unknown__thm__rcM__1(v_p,v_r),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3702]) ).

cnf(c_0_3702_2,axiom,
    ( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
    | c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__unknown__thm__rcM__1(v_p,v_r),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3702]) ).

cnf(c_0_3703_0,axiom,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3703]) ).

cnf(c_0_3703_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3703]) ).

cnf(c_0_3704_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3704]) ).

cnf(c_0_3704_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3704]) ).

cnf(c_0_3704_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3704]) ).

cnf(c_0_3705_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3705]) ).

cnf(c_0_3705_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3705]) ).

cnf(c_0_3705_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3705]) ).

cnf(c_0_3706_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3706]) ).

cnf(c_0_3706_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3706]) ).

cnf(c_0_3706_2,axiom,
    ( ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3706]) ).

cnf(c_0_3706_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3706]) ).

cnf(c_0_3706_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3706]) ).

cnf(c_0_3706_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3706]) ).

cnf(c_0_3707_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3707]) ).

cnf(c_0_3707_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3707]) ).

cnf(c_0_3707_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3707]) ).

cnf(c_0_3707_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3707]) ).

cnf(c_0_3707_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3707]) ).

cnf(c_0_3708_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3708]) ).

cnf(c_0_3708_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3708]) ).

cnf(c_0_3708_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3708]) ).

cnf(c_0_3708_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3708]) ).

cnf(c_0_3708_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3708]) ).

cnf(c_0_3709_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3709]) ).

cnf(c_0_3709_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3709]) ).

cnf(c_0_3709_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3709]) ).

cnf(c_0_3709_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3709]) ).

cnf(c_0_3709_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3709]) ).

cnf(c_0_3710_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3710]) ).

cnf(c_0_3710_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3710]) ).

cnf(c_0_3711_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X6,X3),X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3711]) ).

cnf(c_0_3711_1,axiom,
    ( c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X6,X3),X4,X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3711]) ).

cnf(c_0_3711_2,axiom,
    ( c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X6,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3711]) ).

cnf(c_0_3711_3,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X5,X6,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3711]) ).

cnf(c_0_3712_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X6,X3),X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3712]) ).

cnf(c_0_3712_1,axiom,
    ( c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X6,X3),X4,X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3712]) ).

cnf(c_0_3712_2,axiom,
    ( c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X6,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3712]) ).

cnf(c_0_3712_3,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X5,X6,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3712]) ).

cnf(c_0_3713_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X6,X3),X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3713]) ).

cnf(c_0_3713_1,axiom,
    ( c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X6,X3),X4,X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3713]) ).

cnf(c_0_3713_2,axiom,
    ( c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X6,X3),X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3713]) ).

cnf(c_0_3713_3,axiom,
    ( ~ class_Divides_Oring__div(X3)
    | c_Divides_Odiv__class_Omod(X2,X4,X3) != c_Divides_Odiv__class_Omod(X6,X4,X3)
    | c_Divides_Odiv__class_Omod(X1,X4,X3) != c_Divides_Odiv__class_Omod(X5,X4,X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X6,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3713]) ).

cnf(c_0_3714_0,axiom,
    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X2),X2),c_HOL_Oplus__class_Oplus(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3714]) ).

cnf(c_0_3714_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X2),X2),c_HOL_Oplus__class_Oplus(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3714]) ).

cnf(c_0_3714_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X2),X2),c_HOL_Oplus__class_Oplus(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3714]) ).

cnf(c_0_3714_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X2),X2),c_HOL_Oplus__class_Oplus(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3714]) ).

cnf(c_0_3715_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) = c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3715]) ).

cnf(c_0_3715_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) = c_HOL_Otimes__class_Otimes(X4,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3715]) ).

cnf(c_0_3716_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X4,X5,X3),X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3716]) ).

cnf(c_0_3716_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X4,X5,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3716]) ).

cnf(c_0_3717_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3717]) ).

cnf(c_0_3717_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3717]) ).

cnf(c_0_3717_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3717]) ).

cnf(c_0_3717_3,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3717]) ).

cnf(c_0_3717_4,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3717]) ).

cnf(c_0_3717_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3717]) ).

cnf(c_0_3718_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3718]) ).

cnf(c_0_3718_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3718]) ).

cnf(c_0_3718_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3718]) ).

cnf(c_0_3718_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3718]) ).

cnf(c_0_3718_4,axiom,
    ( ~ c_lessequals(X4,X5,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3718]) ).

cnf(c_0_3718_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3718]) ).

cnf(c_0_3719_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3719]) ).

cnf(c_0_3719_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3719]) ).

cnf(c_0_3719_2,axiom,
    ( ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3719]) ).

cnf(c_0_3719_3,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3719]) ).

cnf(c_0_3719_4,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3719]) ).

cnf(c_0_3719_5,axiom,
    ( ~ class_Ring__and__Field_Opordered__semiring(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3719]) ).

cnf(c_0_3720_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3720]) ).

cnf(c_0_3720_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3720]) ).

cnf(c_0_3720_2,axiom,
    ( ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3720]) ).

cnf(c_0_3720_3,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3720]) ).

cnf(c_0_3720_4,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3720]) ).

cnf(c_0_3720_5,axiom,
    ( ~ class_Ring__and__Field_Opordered__semiring(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3720]) ).

cnf(c_0_3721_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3721]) ).

cnf(c_0_3721_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3721]) ).

cnf(c_0_3721_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3721]) ).

cnf(c_0_3721_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3721]) ).

cnf(c_0_3721_4,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3721]) ).

cnf(c_0_3721_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3721]) ).

cnf(c_0_3722_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3722]) ).

cnf(c_0_3722_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3722]) ).

cnf(c_0_3722_2,axiom,
    ( ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3722]) ).

cnf(c_0_3722_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3722]) ).

cnf(c_0_3722_4,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X5,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3722]) ).

cnf(c_0_3722_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3722]) ).

cnf(c_0_3723_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3723]) ).

cnf(c_0_3723_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3723]) ).

cnf(c_0_3723_2,axiom,
    ( ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3723]) ).

cnf(c_0_3723_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3723]) ).

cnf(c_0_3723_4,axiom,
    ( ~ c_lessequals(X4,X5,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3723]) ).

cnf(c_0_3723_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X4,X5,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3723]) ).

cnf(c_0_3724_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3724]) ).

cnf(c_0_3724_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3724]) ).

cnf(c_0_3724_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3724]) ).

cnf(c_0_3724_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3724]) ).

cnf(c_0_3724_4,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3724]) ).

cnf(c_0_3724_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3724]) ).

cnf(c_0_3725_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3725]) ).

cnf(c_0_3725_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3725]) ).

cnf(c_0_3725_2,axiom,
    ( ~ c_lessequals(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3725]) ).

cnf(c_0_3725_3,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3725]) ).

cnf(c_0_3725_4,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3725]) ).

cnf(c_0_3725_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3725]) ).

cnf(c_0_3726_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X4,X2),X5,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3726]) ).

cnf(c_0_3726_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X4,X2),X5,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3726]) ).

cnf(c_0_3726_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X4,X2),X5,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3726]) ).

cnf(c_0_3726_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X4,X2),X5,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3726]) ).

cnf(c_0_3727_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X4,X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3727]) ).

cnf(c_0_3727_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X4,X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3727]) ).

cnf(c_0_3727_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X4,X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3727]) ).

cnf(c_0_3728_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3728]) ).

cnf(c_0_3728_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3728]) ).

cnf(c_0_3728_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3728]) ).

cnf(c_0_3729_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3729]) ).

cnf(c_0_3729_1,axiom,
    ( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3729]) ).

cnf(c_0_3729_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3729]) ).

cnf(c_0_3730_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3730]) ).

cnf(c_0_3730_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3730]) ).

cnf(c_0_3730_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3730]) ).

cnf(c_0_3731_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3731]) ).

cnf(c_0_3731_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3731]) ).

cnf(c_0_3731_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3731]) ).

cnf(c_0_3732_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3732]) ).

cnf(c_0_3732_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3732]) ).

cnf(c_0_3733_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3733]) ).

cnf(c_0_3733_1,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3733]) ).

cnf(c_0_3733_2,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3733]) ).

cnf(c_0_3733_3,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3733]) ).

cnf(c_0_3733_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3733]) ).

cnf(c_0_3733_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3733]) ).

cnf(c_0_3734_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3734]) ).

cnf(c_0_3734_1,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3734]) ).

cnf(c_0_3734_2,axiom,
    ( ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3734]) ).

cnf(c_0_3734_3,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3734]) ).

cnf(c_0_3734_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3734]) ).

cnf(c_0_3734_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3734]) ).

cnf(c_0_3735_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3735]) ).

cnf(c_0_3735_1,axiom,
    ( c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3735]) ).

cnf(c_0_3735_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3735]) ).

cnf(c_0_3735_3,axiom,
    ( ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3735]) ).

cnf(c_0_3735_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3735]) ).

cnf(c_0_3735_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3735]) ).

cnf(c_0_3736_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3736]) ).

cnf(c_0_3736_1,axiom,
    ( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3736]) ).

cnf(c_0_3736_2,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3736]) ).

cnf(c_0_3736_3,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3736]) ).

cnf(c_0_3736_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3736]) ).

cnf(c_0_3736_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3736]) ).

cnf(c_0_3737_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3737]) ).

cnf(c_0_3737_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3737]) ).

cnf(c_0_3737_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3737]) ).

cnf(c_0_3737_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3737]) ).

cnf(c_0_3737_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3737]) ).

cnf(c_0_3737_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3737]) ).

cnf(c_0_3738_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3738]) ).

cnf(c_0_3738_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3738]) ).

cnf(c_0_3738_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3738]) ).

cnf(c_0_3738_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3738]) ).

cnf(c_0_3738_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3738]) ).

cnf(c_0_3738_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3738]) ).

cnf(c_0_3739_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3739]) ).

cnf(c_0_3739_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3739]) ).

cnf(c_0_3739_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3739]) ).

cnf(c_0_3739_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3739]) ).

cnf(c_0_3739_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3739]) ).

cnf(c_0_3739_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3739]) ).

cnf(c_0_3740_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3740]) ).

cnf(c_0_3740_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3740]) ).

cnf(c_0_3740_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3740]) ).

cnf(c_0_3740_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3740]) ).

cnf(c_0_3740_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3740]) ).

cnf(c_0_3740_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3740]) ).

cnf(c_0_3741_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3741]) ).

cnf(c_0_3741_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3741]) ).

cnf(c_0_3741_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3741]) ).

cnf(c_0_3741_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3741]) ).

cnf(c_0_3741_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3741]) ).

cnf(c_0_3741_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3741]) ).

cnf(c_0_3742_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3742]) ).

cnf(c_0_3742_1,axiom,
    ( c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3742]) ).

cnf(c_0_3742_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3742]) ).

cnf(c_0_3742_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3742]) ).

cnf(c_0_3742_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3742]) ).

cnf(c_0_3742_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3742]) ).

cnf(c_0_3743_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3743]) ).

cnf(c_0_3743_1,axiom,
    ( c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3743]) ).

cnf(c_0_3743_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3743]) ).

cnf(c_0_3743_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3743]) ).

cnf(c_0_3743_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3743]) ).

cnf(c_0_3743_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3743]) ).

cnf(c_0_3744_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3744]) ).

cnf(c_0_3744_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3744]) ).

cnf(c_0_3744_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3744]) ).

cnf(c_0_3744_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3744]) ).

cnf(c_0_3744_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3744]) ).

cnf(c_0_3744_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3744]) ).

cnf(c_0_3745_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3745]) ).

cnf(c_0_3745_1,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3745]) ).

cnf(c_0_3745_2,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3745]) ).

cnf(c_0_3745_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3745]) ).

cnf(c_0_3745_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3745]) ).

cnf(c_0_3745_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3745]) ).

cnf(c_0_3746_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3746]) ).

cnf(c_0_3746_1,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3746]) ).

cnf(c_0_3746_2,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3746]) ).

cnf(c_0_3746_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3746]) ).

cnf(c_0_3746_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3746]) ).

cnf(c_0_3746_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3746]) ).

cnf(c_0_3747_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3747]) ).

cnf(c_0_3747_1,axiom,
    ( c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3747]) ).

cnf(c_0_3747_2,axiom,
    ( ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3747]) ).

cnf(c_0_3747_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3747]) ).

cnf(c_0_3747_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3747]) ).

cnf(c_0_3747_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3747]) ).

cnf(c_0_3748_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3748]) ).

cnf(c_0_3748_1,axiom,
    ( c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3748]) ).

cnf(c_0_3748_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3748]) ).

cnf(c_0_3748_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3748]) ).

cnf(c_0_3748_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3748]) ).

cnf(c_0_3748_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3748]) ).

cnf(c_0_3749_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3749]) ).

cnf(c_0_3749_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3749]) ).

cnf(c_0_3749_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3749]) ).

cnf(c_0_3749_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3749]) ).

cnf(c_0_3750_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3750]) ).

cnf(c_0_3750_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3750]) ).

cnf(c_0_3750_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3750]) ).

cnf(c_0_3750_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3750]) ).

cnf(c_0_3751_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3751]) ).

cnf(c_0_3751_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3751]) ).

cnf(c_0_3751_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3751]) ).

cnf(c_0_3751_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3751]) ).

cnf(c_0_3752_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3752]) ).

cnf(c_0_3752_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3752]) ).

cnf(c_0_3752_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3752]) ).

cnf(c_0_3752_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3752]) ).

cnf(c_0_3753_0,axiom,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3753]) ).

cnf(c_0_3753_1,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_lessequals(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3753]) ).

cnf(c_0_3753_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_lessequals(X1,X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3753]) ).

cnf(c_0_3753_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_lessequals(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3753]) ).

cnf(c_0_3754_0,axiom,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3754]) ).

cnf(c_0_3754_1,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_lessequals(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3754]) ).

cnf(c_0_3754_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_lessequals(X2,X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3754]) ).

cnf(c_0_3754_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_lessequals(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3754]) ).

cnf(c_0_3755_0,axiom,
    ( c_lessequals(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3755]) ).

cnf(c_0_3755_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,X4,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3755]) ).

cnf(c_0_3755_2,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3755]) ).

cnf(c_0_3755_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3755]) ).

cnf(c_0_3756_0,axiom,
    ( c_lessequals(X4,X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3756]) ).

cnf(c_0_3756_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X4,X3,X2)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3756]) ).

cnf(c_0_3756_2,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X4,X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3756]) ).

cnf(c_0_3756_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X4,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3756]) ).

cnf(c_0_3757_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3757]) ).

cnf(c_0_3757_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3757]) ).

cnf(c_0_3757_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3757]) ).

cnf(c_0_3757_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3757]) ).

cnf(c_0_3758_0,axiom,
    ( c_HOL_Oord__class_Oless(X4,X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3758]) ).

cnf(c_0_3758_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X4,X3,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3758]) ).

cnf(c_0_3758_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X4,X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3758]) ).

cnf(c_0_3758_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X4,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3758]) ).

cnf(c_0_3759_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3759]) ).

cnf(c_0_3759_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3759]) ).

cnf(c_0_3759_2,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | 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_3759]) ).

cnf(c_0_3759_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3759]) ).

cnf(c_0_3760_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3760]) ).

cnf(c_0_3760_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3760]) ).

cnf(c_0_3760_2,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | 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_3760]) ).

cnf(c_0_3760_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3760]) ).

cnf(c_0_3761_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3761]) ).

cnf(c_0_3761_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3761]) ).

cnf(c_0_3761_2,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | 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_3761]) ).

cnf(c_0_3761_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3761]) ).

cnf(c_0_3762_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X4,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3762]) ).

cnf(c_0_3762_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3762]) ).

cnf(c_0_3762_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3762]) ).

cnf(c_0_3762_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3762]) ).

cnf(c_0_3763_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3763]) ).

cnf(c_0_3763_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3763]) ).

cnf(c_0_3763_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3763]) ).

cnf(c_0_3763_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X4,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oinverse__class_Odivide(X4,X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3763]) ).

cnf(c_0_3764_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3764]) ).

cnf(c_0_3764_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3764]) ).

cnf(c_0_3764_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3764]) ).

cnf(c_0_3764_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3764]) ).

cnf(c_0_3765_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3765]) ).

cnf(c_0_3765_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3765]) ).

cnf(c_0_3765_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3765]) ).

cnf(c_0_3765_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3765]) ).

cnf(c_0_3766_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3766]) ).

cnf(c_0_3766_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3766]) ).

cnf(c_0_3766_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3766]) ).

cnf(c_0_3767_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3767]) ).

cnf(c_0_3767_1,axiom,
    ( ~ class_Int_Onumber__ring(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3767]) ).

cnf(c_0_3767_2,axiom,
    ( ~ class_Ring__and__Field_Oidom(X3)
    | ~ class_Int_Onumber__ring(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3767]) ).

cnf(c_0_3768_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3768]) ).

cnf(c_0_3768_1,axiom,
    ( ~ class_Int_Onumber__ring(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3768]) ).

cnf(c_0_3768_2,axiom,
    ( ~ class_Ring__and__Field_Oidom(X3)
    | ~ class_Int_Onumber__ring(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3768]) ).

cnf(c_0_3769_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3769]) ).

cnf(c_0_3769_1,axiom,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3769]) ).

cnf(c_0_3769_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3769]) ).

cnf(c_0_3769_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3769]) ).

cnf(c_0_3770_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3770]) ).

cnf(c_0_3770_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3770]) ).

cnf(c_0_3770_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3770]) ).

cnf(c_0_3770_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3770]) ).

cnf(c_0_3771_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3771]) ).

cnf(c_0_3771_1,axiom,
    ( c_HOL_Oord__class_Oless(X4,X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3771]) ).

cnf(c_0_3771_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X4,X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3771]) ).

cnf(c_0_3771_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X4,X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3771]) ).

cnf(c_0_3772_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3772]) ).

cnf(c_0_3772_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3772]) ).

cnf(c_0_3772_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3772]) ).

cnf(c_0_3772_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3772]) ).

cnf(c_0_3773_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3773]) ).

cnf(c_0_3773_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3773]) ).

cnf(c_0_3774_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4),X3,X4) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4)
    | ~ class_Divides_Osemiring__div(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3774]) ).

cnf(c_0_3774_1,axiom,
    ( ~ class_Divides_Osemiring__div(X4)
    | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4),X3,X4) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3774]) ).

cnf(c_0_3775_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3775]) ).

cnf(c_0_3775_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3775]) ).

cnf(c_0_3776_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3776]) ).

cnf(c_0_3776_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X5,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3776]) ).

cnf(c_0_3777_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3777]) ).

cnf(c_0_3777_1,axiom,
    ( ~ class_Divides_Oring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3777]) ).

cnf(c_0_3778_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_Divides_Oring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3778]) ).

cnf(c_0_3778_1,axiom,
    ( ~ class_Divides_Oring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3778]) ).

cnf(c_0_3779_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3779]) ).

cnf(c_0_3779_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X2,X3),X4,X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3779]) ).

cnf(c_0_3780_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3780]) ).

cnf(c_0_3780_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3780]) ).

cnf(c_0_3781_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3781]) ).

cnf(c_0_3781_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3781]) ).

cnf(c_0_3782_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3782]) ).

cnf(c_0_3782_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3) = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3782]) ).

cnf(c_0_3783_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3783]) ).

cnf(c_0_3783_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3783]) ).

cnf(c_0_3784_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3784]) ).

cnf(c_0_3784_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3),X4,X3) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3784]) ).

cnf(c_0_3785_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3785]) ).

cnf(c_0_3785_1,axiom,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3785]) ).

cnf(c_0_3785_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3785]) ).

cnf(c_0_3785_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3785]) ).

cnf(c_0_3786_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3786]) ).

cnf(c_0_3786_1,axiom,
    ( c_HOL_Oord__class_Oless(X4,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3786]) ).

cnf(c_0_3786_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X4,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3786]) ).

cnf(c_0_3786_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X4,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3786]) ).

cnf(c_0_3787_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = X4
    | c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) != c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3787]) ).

cnf(c_0_3787_1,axiom,
    ( X3 = X4
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) != c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3787]) ).

cnf(c_0_3787_2,axiom,
    ( c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) != c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | 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_3787]) ).

cnf(c_0_3787_3,axiom,
    ( ~ class_Int_Onumber__ring(X2)
    | c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) != c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | X3 = X4
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3787]) ).

cnf(c_0_3787_4,axiom,
    ( ~ class_Ring__and__Field_Oidom(X2)
    | ~ class_Int_Onumber__ring(X2)
    | c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) != c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
    | X3 = X4
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3787]) ).

cnf(c_0_3788_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3788]) ).

cnf(c_0_3788_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3788]) ).

cnf(c_0_3788_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3788]) ).

cnf(c_0_3788_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3788]) ).

cnf(c_0_3788_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3788]) ).

cnf(c_0_3789_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3789]) ).

cnf(c_0_3789_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3789]) ).

cnf(c_0_3789_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3789]) ).

cnf(c_0_3789_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3789]) ).

cnf(c_0_3789_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3789]) ).

cnf(c_0_3790_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3790]) ).

cnf(c_0_3790_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3790]) ).

cnf(c_0_3790_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3790]) ).

cnf(c_0_3790_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3790]) ).

cnf(c_0_3790_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3790]) ).

cnf(c_0_3791_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3791]) ).

cnf(c_0_3791_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3791]) ).

cnf(c_0_3791_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3791]) ).

cnf(c_0_3791_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3791]) ).

cnf(c_0_3791_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3791]) ).

cnf(c_0_3792_0,axiom,
    ( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3792]) ).

cnf(c_0_3792_1,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3792]) ).

cnf(c_0_3792_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3792]) ).

cnf(c_0_3792_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3792]) ).

cnf(c_0_3792_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3792]) ).

cnf(c_0_3793_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3793]) ).

cnf(c_0_3793_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3793]) ).

cnf(c_0_3793_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3793]) ).

cnf(c_0_3793_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3793]) ).

cnf(c_0_3793_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3793]) ).

cnf(c_0_3794_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3794]) ).

cnf(c_0_3794_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3794]) ).

cnf(c_0_3794_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3794]) ).

cnf(c_0_3794_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3794]) ).

cnf(c_0_3794_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3794]) ).

cnf(c_0_3795_0,axiom,
    ( c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3795]) ).

cnf(c_0_3795_1,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3795]) ).

cnf(c_0_3795_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3795]) ).

cnf(c_0_3795_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3795]) ).

cnf(c_0_3795_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3795]) ).

cnf(c_0_3796_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3796]) ).

cnf(c_0_3796_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3796]) ).

cnf(c_0_3796_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3796]) ).

cnf(c_0_3796_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3796]) ).

cnf(c_0_3797_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3797]) ).

cnf(c_0_3797_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3797]) ).

cnf(c_0_3797_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3797]) ).

cnf(c_0_3797_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3797]) ).

cnf(c_0_3798_0,axiom,
    ( c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3798]) ).

cnf(c_0_3798_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3798]) ).

cnf(c_0_3798_2,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3798]) ).

cnf(c_0_3798_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3798]) ).

cnf(c_0_3799_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3799]) ).

cnf(c_0_3799_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3799]) ).

cnf(c_0_3799_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3799]) ).

cnf(c_0_3799_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3799]) ).

cnf(c_0_3800_0,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3800]) ).

cnf(c_0_3800_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3800]) ).

cnf(c_0_3801_0,axiom,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_Ring__and__Field_Olordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3801]) ).

cnf(c_0_3801_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3801]) ).

cnf(c_0_3802_0,axiom,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3802]) ).

cnf(c_0_3802_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3802]) ).

cnf(c_0_3803_0,axiom,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3803]) ).

cnf(c_0_3803_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3803]) ).

cnf(c_0_3804_0,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xs__2(v_p,v_r,X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(v_sko__local__Xs__1(v_p,v_r,X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,v_s____,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3804]) ).

cnf(c_0_3804_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,v_s____,tc_RealDef_Oreal)
    | c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xs__2(v_p,v_r,X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(v_sko__local__Xs__1(v_p,v_r,X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3804]) ).

cnf(c_0_3805_0,axiom,
    ( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ c_lessequals(X3,X5,X4)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3805]) ).

cnf(c_0_3805_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)
    | ~ c_lessequals(X3,X5,X4)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3805]) ).

cnf(c_0_3805_2,axiom,
    ( ~ c_lessequals(X3,X5,X4)
    | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3805]) ).

cnf(c_0_3805_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
    | ~ c_lessequals(X3,X5,X4)
    | ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3805]) ).

cnf(c_0_3806_0,axiom,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3806]) ).

cnf(c_0_3806_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3806]) ).

cnf(c_0_3807_0,axiom,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3807]) ).

cnf(c_0_3807_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3807]) ).

cnf(c_0_3808_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3808]) ).

cnf(c_0_3808_1,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3808]) ).

cnf(c_0_3808_2,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3808]) ).

cnf(c_0_3808_3,axiom,
    ( ~ class_Ring__and__Field_Oidom(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3808]) ).

cnf(c_0_3809_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3809]) ).

cnf(c_0_3809_1,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)
    | X1 = c_HOL_Ozero__class_Ozero(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3809]) ).

cnf(c_0_3809_2,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)
    | X1 = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3809]) ).

cnf(c_0_3809_3,axiom,
    ( ~ class_Ring__and__Field_Oidom(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)
    | X1 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3809]) ).

cnf(c_0_3810_0,axiom,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3810]) ).

cnf(c_0_3810_1,axiom,
    ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | c_lessequals(X1,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3810]) ).

cnf(c_0_3810_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | c_lessequals(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3810]) ).

cnf(c_0_3811_0,axiom,
    ( c_lessequals(X2,X4,X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3811]) ).

cnf(c_0_3811_1,axiom,
    ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | c_lessequals(X2,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3811]) ).

cnf(c_0_3811_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | c_lessequals(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3811]) ).

cnf(c_0_3812_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3812]) ).

cnf(c_0_3812_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3812]) ).

cnf(c_0_3812_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
    | c_HOL_Oord__class_Oless(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3812]) ).

cnf(c_0_3813_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3813]) ).

cnf(c_0_3813_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3813]) ).

cnf(c_0_3813_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3813]) ).

cnf(c_0_3814_0,axiom,
    ( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3814]) ).

cnf(c_0_3814_1,axiom,
    ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3814]) ).

cnf(c_0_3814_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | c_lessequals(X1,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oabs__class_Oabs(X2,X3),X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3814]) ).

cnf(c_0_3815_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3815]) ).

cnf(c_0_3815_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3815]) ).

cnf(c_0_3815_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3815]) ).

cnf(c_0_3815_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3815]) ).

cnf(c_0_3815_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3815]) ).

cnf(c_0_3816_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3816]) ).

cnf(c_0_3816_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3816]) ).

cnf(c_0_3816_2,axiom,
    ( ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3816]) ).

cnf(c_0_3816_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3816]) ).

cnf(c_0_3816_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3816]) ).

cnf(c_0_3817_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3817]) ).

cnf(c_0_3817_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3817]) ).

cnf(c_0_3817_2,axiom,
    ( ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3817]) ).

cnf(c_0_3817_3,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3817]) ).

cnf(c_0_3818_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3818]) ).

cnf(c_0_3818_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3818]) ).

cnf(c_0_3818_2,axiom,
    ( ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3818]) ).

cnf(c_0_3818_3,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X3)
    | ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3818]) ).

cnf(c_0_3819_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Omult__mono(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3819]) ).

cnf(c_0_3819_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Omult__mono(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3819]) ).

cnf(c_0_3819_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Omult__mono(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3819]) ).

cnf(c_0_3819_3,axiom,
    ( ~ class_Ring__and__Field_Omult__mono(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3819]) ).

cnf(c_0_3820_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Omult__mono(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3820]) ).

cnf(c_0_3820_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Omult__mono(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3820]) ).

cnf(c_0_3820_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Omult__mono(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3820]) ).

cnf(c_0_3820_3,axiom,
    ( ~ class_Ring__and__Field_Omult__mono(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3820]) ).

cnf(c_0_3821_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Omult__mono1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3821]) ).

cnf(c_0_3821_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Omult__mono1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3821]) ).

cnf(c_0_3821_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Omult__mono1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3821]) ).

cnf(c_0_3821_3,axiom,
    ( ~ class_Ring__and__Field_Omult__mono1(X3)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3821]) ).

cnf(c_0_3822_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3822]) ).

cnf(c_0_3822_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3822]) ).

cnf(c_0_3822_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3822]) ).

cnf(c_0_3822_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3822]) ).

cnf(c_0_3823_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3823]) ).

cnf(c_0_3823_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3823]) ).

cnf(c_0_3823_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3823]) ).

cnf(c_0_3823_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3823]) ).

cnf(c_0_3824_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3824]) ).

cnf(c_0_3824_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3824]) ).

cnf(c_0_3824_2,axiom,
    ( ~ c_lessequals(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3824]) ).

cnf(c_0_3824_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3824]) ).

cnf(c_0_3825_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3825]) ).

cnf(c_0_3825_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3825]) ).

cnf(c_0_3825_2,axiom,
    ( ~ c_lessequals(X3,X4,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3825]) ).

cnf(c_0_3825_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_lessequals(X3,X4,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3825]) ).

cnf(c_0_3826_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3826]) ).

cnf(c_0_3826_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3826]) ).

cnf(c_0_3826_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3826]) ).

cnf(c_0_3826_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3826]) ).

cnf(c_0_3827_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3827]) ).

cnf(c_0_3827_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3827]) ).

cnf(c_0_3827_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3827]) ).

cnf(c_0_3827_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3827]) ).

cnf(c_0_3828_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3828]) ).

cnf(c_0_3828_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3828]) ).

cnf(c_0_3828_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3828]) ).

cnf(c_0_3828_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3828]) ).

cnf(c_0_3829_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3829]) ).

cnf(c_0_3829_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3829]) ).

cnf(c_0_3829_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3829]) ).

cnf(c_0_3829_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3829]) ).

cnf(c_0_3830_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3830]) ).

cnf(c_0_3830_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3830]) ).

cnf(c_0_3830_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3830]) ).

cnf(c_0_3830_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3830]) ).

cnf(c_0_3831_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3831]) ).

cnf(c_0_3831_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3831]) ).

cnf(c_0_3831_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3831]) ).

cnf(c_0_3831_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3831]) ).

cnf(c_0_3832_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3832]) ).

cnf(c_0_3832_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3832]) ).

cnf(c_0_3832_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3832]) ).

cnf(c_0_3832_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3832]) ).

cnf(c_0_3833_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3833]) ).

cnf(c_0_3833_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3833]) ).

cnf(c_0_3833_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3833]) ).

cnf(c_0_3833_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3833]) ).

cnf(c_0_3834_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3834]) ).

cnf(c_0_3834_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3834]) ).

cnf(c_0_3834_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3834]) ).

cnf(c_0_3834_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3834]) ).

cnf(c_0_3835_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3835]) ).

cnf(c_0_3835_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3835]) ).

cnf(c_0_3835_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3835]) ).

cnf(c_0_3835_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3835]) ).

cnf(c_0_3836_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3836]) ).

cnf(c_0_3836_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3836]) ).

cnf(c_0_3836_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3836]) ).

cnf(c_0_3836_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3836]) ).

cnf(c_0_3837_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3837]) ).

cnf(c_0_3837_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3837]) ).

cnf(c_0_3837_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3837]) ).

cnf(c_0_3837_3,axiom,
    ( ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3837]) ).

cnf(c_0_3837_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3837]) ).

cnf(c_0_3838_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3838]) ).

cnf(c_0_3838_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3838]) ).

cnf(c_0_3838_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3838]) ).

cnf(c_0_3838_3,axiom,
    ( ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3838]) ).

cnf(c_0_3838_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3838]) ).

cnf(c_0_3839_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3839]) ).

cnf(c_0_3839_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3839]) ).

cnf(c_0_3839_2,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3839]) ).

cnf(c_0_3839_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3839]) ).

cnf(c_0_3839_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3839]) ).

cnf(c_0_3839_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3839]) ).

cnf(c_0_3840_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3840]) ).

cnf(c_0_3840_1,axiom,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3840]) ).

cnf(c_0_3840_2,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3840]) ).

cnf(c_0_3840_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3840]) ).

cnf(c_0_3840_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3840]) ).

cnf(c_0_3840_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3840]) ).

cnf(c_0_3841_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3841]) ).

cnf(c_0_3841_1,axiom,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3841]) ).

cnf(c_0_3841_2,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3841]) ).

cnf(c_0_3841_3,axiom,
    ( ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3841]) ).

cnf(c_0_3841_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_Ring__and__Field_Oordered__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3841]) ).

cnf(c_0_3841_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X4)
    | ~ class_Ring__and__Field_Odivision__by__zero(X4)
    | ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3841]) ).

cnf(c_0_3842_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3842]) ).

cnf(c_0_3842_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3842]) ).

cnf(c_0_3842_2,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3842]) ).

cnf(c_0_3842_3,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3842]) ).

cnf(c_0_3842_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3842]) ).

cnf(c_0_3842_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3842]) ).

cnf(c_0_3843_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,v_s____,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
    | c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3843]) ).

cnf(c_0_3843_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,v_s____,tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
    | c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3843]) ).

cnf(c_0_3843_2,axiom,
    ( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,v_s____,tc_RealDef_Oreal)
    | c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3843]) ).

cnf(c_0_3843_3,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,v_s____,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3843]) ).

cnf(c_0_3844_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3844]) ).

cnf(c_0_3844_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3844]) ).

cnf(c_0_3844_2,axiom,
    ( ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3844]) ).

cnf(c_0_3844_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3844]) ).

cnf(c_0_3845_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3845]) ).

cnf(c_0_3845_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3845]) ).

cnf(c_0_3845_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3845]) ).

cnf(c_0_3845_3,axiom,
    ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3845]) ).

cnf(c_0_3846_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3846]) ).

cnf(c_0_3846_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3846]) ).

cnf(c_0_3846_2,axiom,
    ( ~ c_lessequals(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3846]) ).

cnf(c_0_3846_3,axiom,
    ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3846]) ).

cnf(c_0_3847_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3847]) ).

cnf(c_0_3847_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3847]) ).

cnf(c_0_3847_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3847]) ).

cnf(c_0_3847_3,axiom,
    ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
    | ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3847]) ).

cnf(c_0_3848_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X5,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3848]) ).

cnf(c_0_3848_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X5,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3848]) ).

cnf(c_0_3848_2,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X5,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3848]) ).

cnf(c_0_3848_3,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X5,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3848]) ).

cnf(c_0_3849_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3849]) ).

cnf(c_0_3849_1,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2) != 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_3849]) ).

cnf(c_0_3849_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3849]) ).

cnf(c_0_3850_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3850]) ).

cnf(c_0_3850_1,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2) != 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_3850]) ).

cnf(c_0_3850_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3850]) ).

cnf(c_0_3851_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3851]) ).

cnf(c_0_3851_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3851]) ).

cnf(c_0_3852_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3852]) ).

cnf(c_0_3852_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X4)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3852]) ).

cnf(c_0_3853_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3853]) ).

cnf(c_0_3853_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X4)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3853]) ).

cnf(c_0_3854_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3854]) ).

cnf(c_0_3854_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3854]) ).

cnf(c_0_3855_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3855]) ).

cnf(c_0_3855_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3855]) ).

cnf(c_0_3856_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3856]) ).

cnf(c_0_3856_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3856]) ).

cnf(c_0_3857_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3857]) ).

cnf(c_0_3857_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3857]) ).

cnf(c_0_3858_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3858]) ).

cnf(c_0_3858_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3858]) ).

cnf(c_0_3859_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3859]) ).

cnf(c_0_3859_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X4)
    | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3859]) ).

cnf(c_0_3860_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3860]) ).

cnf(c_0_3860_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3860]) ).

cnf(c_0_3861_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3861]) ).

cnf(c_0_3861_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3861]) ).

cnf(c_0_3862_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3862]) ).

cnf(c_0_3862_1,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X3)
    | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3862]) ).

cnf(c_0_3863_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3863]) ).

cnf(c_0_3863_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X4)
    | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3863]) ).

cnf(c_0_3864_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3864]) ).

cnf(c_0_3864_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X4)
    | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ominus__class_Ominus(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3864]) ).

cnf(c_0_3865_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3865]) ).

cnf(c_0_3865_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3865]) ).

cnf(c_0_3866_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3866]) ).

cnf(c_0_3866_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3866]) ).

cnf(c_0_3867_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3867]) ).

cnf(c_0_3867_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X4)
    | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3867]) ).

cnf(c_0_3868_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3868]) ).

cnf(c_0_3868_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X4),c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3868]) ).

cnf(c_0_3869_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X2,X4) = c_Divides_Odiv__class_Omod(X1,X2,X4)
    | ~ class_Divides_Osemiring__div(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3869]) ).

cnf(c_0_3869_1,axiom,
    ( ~ class_Divides_Osemiring__div(X4)
    | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X2,X4) = c_Divides_Odiv__class_Omod(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3869]) ).

cnf(c_0_3870_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X3,X4) = c_Divides_Odiv__class_Omod(X1,X3,X4)
    | ~ class_Divides_Osemiring__div(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3870]) ).

cnf(c_0_3870_1,axiom,
    ( ~ class_Divides_Osemiring__div(X4)
    | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4),X3,X4) = c_Divides_Odiv__class_Omod(X1,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3870]) ).

cnf(c_0_3871_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3871]) ).

cnf(c_0_3871_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3871]) ).

cnf(c_0_3872_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3872]) ).

cnf(c_0_3872_1,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3872]) ).

cnf(c_0_3873_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3873]) ).

cnf(c_0_3873_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3873]) ).

cnf(c_0_3874_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3874]) ).

cnf(c_0_3874_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3874]) ).

cnf(c_0_3875_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3875]) ).

cnf(c_0_3875_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X4)
    | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3875]) ).

cnf(c_0_3876_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3876]) ).

cnf(c_0_3876_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X4)
    | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3876]) ).

cnf(c_0_3877_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3877]) ).

cnf(c_0_3877_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3877]) ).

cnf(c_0_3878_0,axiom,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X3,X2),tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3878]) ).

cnf(c_0_3878_1,axiom,
    ( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),X2,tc_RealDef_Oreal)
    | c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X3,X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3878]) ).

cnf(c_0_3879_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3879]) ).

cnf(c_0_3879_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3879]) ).

cnf(c_0_3879_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3879]) ).

cnf(c_0_3879_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3879]) ).

cnf(c_0_3880_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3880]) ).

cnf(c_0_3880_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3880]) ).

cnf(c_0_3880_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3880]) ).

cnf(c_0_3880_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3880]) ).

cnf(c_0_3881_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3881]) ).

cnf(c_0_3881_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3881]) ).

cnf(c_0_3881_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3881]) ).

cnf(c_0_3881_3,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring__abs(X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3881]) ).

cnf(c_0_3882_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3882]) ).

cnf(c_0_3882_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3882]) ).

cnf(c_0_3882_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3882]) ).

cnf(c_0_3882_3,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring__abs(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3882]) ).

cnf(c_0_3883_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3883]) ).

cnf(c_0_3883_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3883]) ).

cnf(c_0_3883_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3883]) ).

cnf(c_0_3883_3,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring__abs(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3883]) ).

cnf(c_0_3884_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3884]) ).

cnf(c_0_3884_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3884]) ).

cnf(c_0_3884_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3884]) ).

cnf(c_0_3884_3,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring__abs(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3884]) ).

cnf(c_0_3885_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3885]) ).

cnf(c_0_3885_1,axiom,
    ( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3885]) ).

cnf(c_0_3886_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X4)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X4)
    | ~ class_Divides_Osemiring__div(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3886]) ).

cnf(c_0_3886_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X4)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X4)
    | ~ class_Divides_Osemiring__div(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3886]) ).

cnf(c_0_3886_2,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X4)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X4)
    | ~ class_Divides_Osemiring__div(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3886]) ).

cnf(c_0_3886_3,axiom,
    ( ~ class_Divides_Osemiring__div(X4)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X4)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X3,X4),X4)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_3886]) ).

cnf(c_0_3887_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X4,X2,X3),X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3887]) ).

cnf(c_0_3887_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X4,X2,X3),X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3887]) ).

cnf(c_0_3887_2,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X4,X2,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3887]) ).

cnf(c_0_3887_3,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X4,X2,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3887]) ).

cnf(c_0_3888_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = X4
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3) != c_HOL_Oplus__class_Oplus(X5,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3888]) ).

cnf(c_0_3888_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3) != c_HOL_Oplus__class_Oplus(X5,X4,X3)
    | c_HOL_Oplus__class_Oplus(X1,X2,X3) = X4
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3888]) ).

cnf(c_0_3888_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X5,X2,X3),X3) != c_HOL_Oplus__class_Oplus(X5,X4,X3)
    | c_HOL_Oplus__class_Oplus(X1,X2,X3) = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_3888]) ).

cnf(c_0_3889_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3889]) ).

cnf(c_0_3889_1,axiom,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3889]) ).

cnf(c_0_3889_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3889]) ).

cnf(c_0_3889_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3889]) ).

cnf(c_0_3889_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3889]) ).

cnf(c_0_3890_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3890]) ).

cnf(c_0_3890_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3890]) ).

cnf(c_0_3890_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3890]) ).

cnf(c_0_3890_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3890]) ).

cnf(c_0_3890_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3890]) ).

cnf(c_0_3891_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3891]) ).

cnf(c_0_3891_1,axiom,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3891]) ).

cnf(c_0_3891_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3891]) ).

cnf(c_0_3891_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3891]) ).

cnf(c_0_3891_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3891]) ).

cnf(c_0_3892_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3892]) ).

cnf(c_0_3892_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3892]) ).

cnf(c_0_3892_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3892]) ).

cnf(c_0_3892_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3892]) ).

cnf(c_0_3892_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3892]) ).

cnf(c_0_3893_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3893]) ).

cnf(c_0_3893_1,axiom,
    ( c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3893]) ).

cnf(c_0_3893_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3893]) ).

cnf(c_0_3893_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3893]) ).

cnf(c_0_3893_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3893]) ).

cnf(c_0_3894_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3894]) ).

cnf(c_0_3894_1,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3894]) ).

cnf(c_0_3894_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3894]) ).

cnf(c_0_3894_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3894]) ).

cnf(c_0_3894_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3894]) ).

cnf(c_0_3895_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3895]) ).

cnf(c_0_3895_1,axiom,
    ( c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3895]) ).

cnf(c_0_3895_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3895]) ).

cnf(c_0_3895_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3895]) ).

cnf(c_0_3895_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3895]) ).

cnf(c_0_3896_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3896]) ).

cnf(c_0_3896_1,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3896]) ).

cnf(c_0_3896_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3896]) ).

cnf(c_0_3896_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3896]) ).

cnf(c_0_3896_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3896]) ).

cnf(c_0_3897_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3897]) ).

cnf(c_0_3897_1,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3897]) ).

cnf(c_0_3897_2,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3897]) ).

cnf(c_0_3897_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3897]) ).

cnf(c_0_3897_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3897]) ).

cnf(c_0_3898_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3898]) ).

cnf(c_0_3898_1,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3898]) ).

cnf(c_0_3898_2,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3898]) ).

cnf(c_0_3898_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3898]) ).

cnf(c_0_3898_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3898]) ).

cnf(c_0_3899_0,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3899]) ).

cnf(c_0_3899_1,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3899]) ).

cnf(c_0_3899_2,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3899]) ).

cnf(c_0_3899_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3899]) ).

cnf(c_0_3899_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3899]) ).

cnf(c_0_3900_0,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3900]) ).

cnf(c_0_3900_1,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3900]) ).

cnf(c_0_3900_2,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3900]) ).

cnf(c_0_3900_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3900]) ).

cnf(c_0_3900_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3900]) ).

cnf(c_0_3901_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3901]) ).

cnf(c_0_3901_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3901]) ).

cnf(c_0_3901_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3901]) ).

cnf(c_0_3901_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3901]) ).

cnf(c_0_3901_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3901]) ).

cnf(c_0_3902_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3902]) ).

cnf(c_0_3902_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3902]) ).

cnf(c_0_3902_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3902]) ).

cnf(c_0_3902_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3902]) ).

cnf(c_0_3902_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3902]) ).

cnf(c_0_3903_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3903]) ).

cnf(c_0_3903_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3903]) ).

cnf(c_0_3903_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3903]) ).

cnf(c_0_3903_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3903]) ).

cnf(c_0_3903_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3903]) ).

cnf(c_0_3904_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3904]) ).

cnf(c_0_3904_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3904]) ).

cnf(c_0_3904_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3904]) ).

cnf(c_0_3904_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3904]) ).

cnf(c_0_3904_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3904]) ).

cnf(c_0_3905_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3905]) ).

cnf(c_0_3905_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3905]) ).

cnf(c_0_3905_2,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3905]) ).

cnf(c_0_3905_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3905]) ).

cnf(c_0_3905_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3905]) ).

cnf(c_0_3905_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3905]) ).

cnf(c_0_3906_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3906]) ).

cnf(c_0_3906_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3906]) ).

cnf(c_0_3906_2,axiom,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3906]) ).

cnf(c_0_3906_3,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3906]) ).

cnf(c_0_3906_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3906]) ).

cnf(c_0_3906_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3906]) ).

cnf(c_0_3907_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3907]) ).

cnf(c_0_3907_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3907]) ).

cnf(c_0_3907_2,axiom,
    ( c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3907]) ).

cnf(c_0_3907_3,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3907]) ).

cnf(c_0_3907_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3907]) ).

cnf(c_0_3907_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3907]) ).

cnf(c_0_3908_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3908]) ).

cnf(c_0_3908_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3908]) ).

cnf(c_0_3908_2,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3908]) ).

cnf(c_0_3908_3,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3908]) ).

cnf(c_0_3908_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3908]) ).

cnf(c_0_3908_5,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3908]) ).

cnf(c_0_3909_0,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3909]) ).

cnf(c_0_3909_1,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3909]) ).

cnf(c_0_3909_2,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3909]) ).

cnf(c_0_3909_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3909]) ).

cnf(c_0_3910_0,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3910]) ).

cnf(c_0_3910_1,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3910]) ).

cnf(c_0_3910_2,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3910]) ).

cnf(c_0_3910_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3910]) ).

cnf(c_0_3911_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3911]) ).

cnf(c_0_3911_1,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3911]) ).

cnf(c_0_3911_2,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3911]) ).

cnf(c_0_3911_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3911]) ).

cnf(c_0_3912_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3912]) ).

cnf(c_0_3912_1,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3912]) ).

cnf(c_0_3912_2,axiom,
    ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3912]) ).

cnf(c_0_3912_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
    | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3912]) ).

cnf(c_0_3913_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3913]) ).

cnf(c_0_3913_1,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3913]) ).

cnf(c_0_3913_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3913]) ).

cnf(c_0_3913_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3913]) ).

cnf(c_0_3914_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3914]) ).

cnf(c_0_3914_1,axiom,
    ( c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3914]) ).

cnf(c_0_3914_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3914]) ).

cnf(c_0_3914_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3914]) ).

cnf(c_0_3915_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3915]) ).

cnf(c_0_3915_1,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3915]) ).

cnf(c_0_3915_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3915]) ).

cnf(c_0_3915_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3915]) ).

cnf(c_0_3916_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3916]) ).

cnf(c_0_3916_1,axiom,
    ( c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3916]) ).

cnf(c_0_3916_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3916]) ).

cnf(c_0_3916_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3916]) ).

cnf(c_0_3917_0,axiom,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xs1__1(v_p,v_r,X1),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3917]) ).

cnf(c_0_3917_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xs1__1(v_p,v_r,X1),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3917]) ).

cnf(c_0_3918_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,v_sko__local__Xmth2__1(v_p,v_r),tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
    | c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3918]) ).

cnf(c_0_3918_1,axiom,
    ( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,v_sko__local__Xmth2__1(v_p,v_r),tc_RealDef_Oreal)
    | c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3918]) ).

cnf(c_0_3918_2,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,v_sko__local__Xmth2__1(v_p,v_r),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3918]) ).

cnf(c_0_3919_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X1,X3,X2),X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_Divides_Oring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3919]) ).

cnf(c_0_3919_1,axiom,
    ( ~ class_Divides_Oring__div(X2)
    | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X1,X3,X2),X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3919]) ).

cnf(c_0_3920_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3920]) ).

cnf(c_0_3920_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3920]) ).

cnf(c_0_3921_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3921]) ).

cnf(c_0_3921_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3921]) ).

cnf(c_0_3921_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3921]) ).

cnf(c_0_3921_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3921]) ).

cnf(c_0_3921_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3921]) ).

cnf(c_0_3922_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3922]) ).

cnf(c_0_3922_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3922]) ).

cnf(c_0_3922_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3922]) ).

cnf(c_0_3922_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3922]) ).

cnf(c_0_3922_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3922]) ).

cnf(c_0_3923_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3923]) ).

cnf(c_0_3923_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3923]) ).

cnf(c_0_3923_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3923]) ).

cnf(c_0_3923_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3923]) ).

cnf(c_0_3923_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3923]) ).

cnf(c_0_3924_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3924]) ).

cnf(c_0_3924_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3924]) ).

cnf(c_0_3924_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3924]) ).

cnf(c_0_3924_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3924]) ).

cnf(c_0_3924_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3924]) ).

cnf(c_0_3925_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3925]) ).

cnf(c_0_3925_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3925]) ).

cnf(c_0_3925_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3925]) ).

cnf(c_0_3925_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3925]) ).

cnf(c_0_3925_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3925]) ).

cnf(c_0_3926_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3926]) ).

cnf(c_0_3926_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3926]) ).

cnf(c_0_3926_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3926]) ).

cnf(c_0_3926_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3926]) ).

cnf(c_0_3926_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3926]) ).

cnf(c_0_3927_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3927]) ).

cnf(c_0_3927_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3927]) ).

cnf(c_0_3927_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3927]) ).

cnf(c_0_3927_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3927]) ).

cnf(c_0_3927_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3927]) ).

cnf(c_0_3928_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3928]) ).

cnf(c_0_3928_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3928]) ).

cnf(c_0_3928_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3928]) ).

cnf(c_0_3928_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3928]) ).

cnf(c_0_3928_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3928]) ).

cnf(c_0_3929_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3929]) ).

cnf(c_0_3929_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3929]) ).

cnf(c_0_3929_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3929]) ).

cnf(c_0_3929_3,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3929]) ).

cnf(c_0_3930_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3930]) ).

cnf(c_0_3930_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3930]) ).

cnf(c_0_3930_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3930]) ).

cnf(c_0_3930_3,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3930]) ).

cnf(c_0_3931_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3931]) ).

cnf(c_0_3931_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3931]) ).

cnf(c_0_3931_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Opordered__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3931]) ).

cnf(c_0_3931_3,axiom,
    ( ~ class_Ring__and__Field_Opordered__ring(X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3931]) ).

cnf(c_0_3932_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3932]) ).

cnf(c_0_3932_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3932]) ).

cnf(c_0_3932_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3932]) ).

cnf(c_0_3932_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3932]) ).

cnf(c_0_3933_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3933]) ).

cnf(c_0_3933_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3933]) ).

cnf(c_0_3933_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3933]) ).

cnf(c_0_3933_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3933]) ).

cnf(c_0_3934_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3934]) ).

cnf(c_0_3934_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3934]) ).

cnf(c_0_3934_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3934]) ).

cnf(c_0_3934_3,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3934]) ).

cnf(c_0_3935_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3935]) ).

cnf(c_0_3935_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3935]) ).

cnf(c_0_3935_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3935]) ).

cnf(c_0_3935_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3935]) ).

cnf(c_0_3936_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3936]) ).

cnf(c_0_3936_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3936]) ).

cnf(c_0_3936_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3936]) ).

cnf(c_0_3936_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3936]) ).

cnf(c_0_3937_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3937]) ).

cnf(c_0_3937_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3937]) ).

cnf(c_0_3937_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3937]) ).

cnf(c_0_3937_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3937]) ).

cnf(c_0_3938_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3938]) ).

cnf(c_0_3938_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3938]) ).

cnf(c_0_3938_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3938]) ).

cnf(c_0_3938_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3938]) ).

cnf(c_0_3939_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3939]) ).

cnf(c_0_3939_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3939]) ).

cnf(c_0_3939_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3939]) ).

cnf(c_0_3939_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3939]) ).

cnf(c_0_3940_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3940]) ).

cnf(c_0_3940_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3940]) ).

cnf(c_0_3940_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3940]) ).

cnf(c_0_3940_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3940]) ).

cnf(c_0_3941_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3941]) ).

cnf(c_0_3941_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3941]) ).

cnf(c_0_3941_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3941]) ).

cnf(c_0_3941_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3941]) ).

cnf(c_0_3942_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3942]) ).

cnf(c_0_3942_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3942]) ).

cnf(c_0_3942_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3942]) ).

cnf(c_0_3942_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3942]) ).

cnf(c_0_3943_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3943]) ).

cnf(c_0_3943_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3943]) ).

cnf(c_0_3943_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3943]) ).

cnf(c_0_3943_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3943]) ).

cnf(c_0_3944_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3944]) ).

cnf(c_0_3944_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3944]) ).

cnf(c_0_3944_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3944]) ).

cnf(c_0_3944_3,axiom,
    ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3944]) ).

cnf(c_0_3945_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3945]) ).

cnf(c_0_3945_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3945]) ).

cnf(c_0_3945_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3945]) ).

cnf(c_0_3945_3,axiom,
    ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3945]) ).

cnf(c_0_3946_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3946]) ).

cnf(c_0_3946_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3946]) ).

cnf(c_0_3946_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3946]) ).

cnf(c_0_3946_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3946]) ).

cnf(c_0_3947_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3947]) ).

cnf(c_0_3947_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3947]) ).

cnf(c_0_3947_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3947]) ).

cnf(c_0_3947_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3947]) ).

cnf(c_0_3948_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3948]) ).

cnf(c_0_3948_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3948]) ).

cnf(c_0_3948_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3948]) ).

cnf(c_0_3948_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3948]) ).

cnf(c_0_3949_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3949]) ).

cnf(c_0_3949_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3949]) ).

cnf(c_0_3949_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3949]) ).

cnf(c_0_3949_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3949]) ).

cnf(c_0_3950_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3950]) ).

cnf(c_0_3950_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3950]) ).

cnf(c_0_3950_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3950]) ).

cnf(c_0_3950_3,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3950]) ).

cnf(c_0_3951_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3951]) ).

cnf(c_0_3951_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3951]) ).

cnf(c_0_3951_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3951]) ).

cnf(c_0_3951_3,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3951]) ).

cnf(c_0_3952_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3952]) ).

cnf(c_0_3952_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3952]) ).

cnf(c_0_3952_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3952]) ).

cnf(c_0_3952_3,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3952]) ).

cnf(c_0_3953_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3953]) ).

cnf(c_0_3953_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3953]) ).

cnf(c_0_3953_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3953]) ).

cnf(c_0_3953_3,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3953]) ).

cnf(c_0_3954_0,axiom,
    ( c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3954]) ).

cnf(c_0_3954_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3954]) ).

cnf(c_0_3954_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3954]) ).

cnf(c_0_3954_3,axiom,
    ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3954]) ).

cnf(c_0_3955_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3955]) ).

cnf(c_0_3955_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3955]) ).

cnf(c_0_3955_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3955]) ).

cnf(c_0_3955_3,axiom,
    ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3955]) ).

cnf(c_0_3956_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3956]) ).

cnf(c_0_3956_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3956]) ).

cnf(c_0_3956_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3956]) ).

cnf(c_0_3956_3,axiom,
    ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3956]) ).

cnf(c_0_3957_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3957]) ).

cnf(c_0_3957_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3957]) ).

cnf(c_0_3957_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3957]) ).

cnf(c_0_3957_3,axiom,
    ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3957]) ).

cnf(c_0_3958_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3958]) ).

cnf(c_0_3958_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3958]) ).

cnf(c_0_3958_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3958]) ).

cnf(c_0_3958_3,axiom,
    ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3958]) ).

cnf(c_0_3959_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3959]) ).

cnf(c_0_3959_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3959]) ).

cnf(c_0_3959_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3959]) ).

cnf(c_0_3959_3,axiom,
    ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3959]) ).

cnf(c_0_3960_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3960]) ).

cnf(c_0_3960_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3960]) ).

cnf(c_0_3960_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3960]) ).

cnf(c_0_3960_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X3,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3960]) ).

cnf(c_0_3961_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3961]) ).

cnf(c_0_3961_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3961]) ).

cnf(c_0_3961_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3961]) ).

cnf(c_0_3961_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3961]) ).

cnf(c_0_3962_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3962]) ).

cnf(c_0_3962_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3962]) ).

cnf(c_0_3962_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3962]) ).

cnf(c_0_3962_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3962]) ).

cnf(c_0_3963_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3963]) ).

cnf(c_0_3963_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3963]) ).

cnf(c_0_3963_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3963]) ).

cnf(c_0_3963_3,axiom,
    ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X2)
    | ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3963]) ).

cnf(c_0_3964_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3964]) ).

cnf(c_0_3964_1,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3964]) ).

cnf(c_0_3964_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3964]) ).

cnf(c_0_3965_0,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3965]) ).

cnf(c_0_3965_1,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3965]) ).

cnf(c_0_3965_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3965]) ).

cnf(c_0_3966_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3966]) ).

cnf(c_0_3966_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3966]) ).

cnf(c_0_3966_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3966]) ).

cnf(c_0_3967_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3967]) ).

cnf(c_0_3967_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3967]) ).

cnf(c_0_3967_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3967]) ).

cnf(c_0_3968_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3968]) ).

cnf(c_0_3968_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3968]) ).

cnf(c_0_3968_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3968]) ).

cnf(c_0_3969_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3969]) ).

cnf(c_0_3969_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3969]) ).

cnf(c_0_3969_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3969]) ).

cnf(c_0_3970_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3970]) ).

cnf(c_0_3970_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3970]) ).

cnf(c_0_3970_2,axiom,
    ( ~ class_Ring__and__Field_Oidom(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3970]) ).

cnf(c_0_3971_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3971]) ).

cnf(c_0_3971_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3971]) ).

cnf(c_0_3971_2,axiom,
    ( ~ class_Ring__and__Field_Oidom(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3971]) ).

cnf(c_0_3972_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3972]) ).

cnf(c_0_3972_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3972]) ).

cnf(c_0_3972_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3972]) ).

cnf(c_0_3973_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3973]) ).

cnf(c_0_3973_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3973]) ).

cnf(c_0_3973_2,axiom,
    ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3973]) ).

cnf(c_0_3974_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3974]) ).

cnf(c_0_3974_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3974]) ).

cnf(c_0_3974_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3974]) ).

cnf(c_0_3975_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3975]) ).

cnf(c_0_3975_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3975]) ).

cnf(c_0_3975_2,axiom,
    ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3975]) ).

cnf(c_0_3976_0,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3976]) ).

cnf(c_0_3976_1,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3976]) ).

cnf(c_0_3976_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3976]) ).

cnf(c_0_3976_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3976]) ).

cnf(c_0_3977_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3977]) ).

cnf(c_0_3977_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3977]) ).

cnf(c_0_3977_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3977]) ).

cnf(c_0_3977_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3977]) ).

cnf(c_0_3978_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3978]) ).

cnf(c_0_3978_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3978]) ).

cnf(c_0_3978_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3978]) ).

cnf(c_0_3978_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3978]) ).

cnf(c_0_3979_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3979]) ).

cnf(c_0_3979_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3979]) ).

cnf(c_0_3979_2,axiom,
    ( ~ c_lessequals(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3979]) ).

cnf(c_0_3979_3,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3979]) ).

cnf(c_0_3979_4,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3979]) ).

cnf(c_0_3980_0,axiom,
    ( c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3980]) ).

cnf(c_0_3980_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3980]) ).

cnf(c_0_3980_2,axiom,
    ( ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3980]) ).

cnf(c_0_3980_3,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3980]) ).

cnf(c_0_3980_4,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3980]) ).

cnf(c_0_3981_0,axiom,
    ( c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3981]) ).

cnf(c_0_3981_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3981]) ).

cnf(c_0_3981_2,axiom,
    ( ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3981]) ).

cnf(c_0_3981_3,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3981]) ).

cnf(c_0_3981_4,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3981]) ).

cnf(c_0_3982_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3982]) ).

cnf(c_0_3982_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3982]) ).

cnf(c_0_3982_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3982]) ).

cnf(c_0_3982_3,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3982]) ).

cnf(c_0_3982_4,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3982]) ).

cnf(c_0_3983_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3983]) ).

cnf(c_0_3983_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3983]) ).

cnf(c_0_3983_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3983]) ).

cnf(c_0_3983_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3983]) ).

cnf(c_0_3984_0,axiom,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xs__2(v_p,v_r,X1),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,v_s____,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3984]) ).

cnf(c_0_3984_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,v_s____,tc_RealDef_Oreal)
    | c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xs__2(v_p,v_r,X1),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3984]) ).

cnf(c_0_3985_0,axiom,
    ( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3985]) ).

cnf(c_0_3985_1,axiom,
    ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3985]) ).

cnf(c_0_3985_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3985]) ).

cnf(c_0_3986_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3986]) ).

cnf(c_0_3986_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3986]) ).

cnf(c_0_3986_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3986]) ).

cnf(c_0_3986_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_3986]) ).

cnf(c_0_3987_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3987]) ).

cnf(c_0_3987_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3987]) ).

cnf(c_0_3988_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3988]) ).

cnf(c_0_3988_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3988]) ).

cnf(c_0_3988_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3988]) ).

cnf(c_0_3988_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3988]) ).

cnf(c_0_3989_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3989]) ).

cnf(c_0_3989_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3989]) ).

cnf(c_0_3989_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3989]) ).

cnf(c_0_3989_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3989]) ).

cnf(c_0_3990_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X3),X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3990]) ).

cnf(c_0_3990_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X3),X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3990]) ).

cnf(c_0_3991_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X3),X3),X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3991]) ).

cnf(c_0_3991_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,c_HOL_Oone__class_Oone(X3),X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3991]) ).

cnf(c_0_3992_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3992]) ).

cnf(c_0_3992_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3992]) ).

cnf(c_0_3992_2,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3992]) ).

cnf(c_0_3992_3,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3992]) ).

cnf(c_0_3993_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X4,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3993]) ).

cnf(c_0_3993_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X4,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3993]) ).

cnf(c_0_3993_2,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3993]) ).

cnf(c_0_3993_3,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ominus__class_Ominus(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3993]) ).

cnf(c_0_3994_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X4,X2,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3994]) ).

cnf(c_0_3994_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X4,X2,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3994]) ).

cnf(c_0_3994_2,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X4,X2,X3),X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3994]) ).

cnf(c_0_3994_3,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3994]) ).

cnf(c_0_3995_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3995]) ).

cnf(c_0_3995_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3995]) ).

cnf(c_0_3995_2,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3995]) ).

cnf(c_0_3995_3,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Omod(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_3995]) ).

cnf(c_0_3996_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X4,X2),X3,X2)
    | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
    | ~ class_Divides_Oring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3996]) ).

cnf(c_0_3996_1,axiom,
    ( c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
    | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X4,X2),X3,X2)
    | ~ class_Divides_Oring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3996]) ).

cnf(c_0_3996_2,axiom,
    ( ~ class_Divides_Oring__div(X2)
    | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
    | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X4,X2),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3996]) ).

cnf(c_0_3997_0,axiom,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3997]) ).

cnf(c_0_3997_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_3997]) ).

cnf(c_0_3998_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3998]) ).

cnf(c_0_3998_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3998]) ).

cnf(c_0_3998_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3998]) ).

cnf(c_0_3999_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3999]) ).

cnf(c_0_3999_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3999]) ).

cnf(c_0_3999_2,axiom,
    ( ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_3999]) ).

cnf(c_0_4000_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4000]) ).

cnf(c_0_4000_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4000]) ).

cnf(c_0_4000_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4000]) ).

cnf(c_0_4001_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4001]) ).

cnf(c_0_4001_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4001]) ).

cnf(c_0_4001_2,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4001]) ).

cnf(c_0_4002_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4002]) ).

cnf(c_0_4002_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4002]) ).

cnf(c_0_4002_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4002]) ).

cnf(c_0_4003_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4003]) ).

cnf(c_0_4003_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4003]) ).

cnf(c_0_4003_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4003]) ).

cnf(c_0_4004_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4004]) ).

cnf(c_0_4004_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4004]) ).

cnf(c_0_4004_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4004]) ).

cnf(c_0_4005_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4005]) ).

cnf(c_0_4005_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4005]) ).

cnf(c_0_4005_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4005]) ).

cnf(c_0_4006_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4006]) ).

cnf(c_0_4006_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4006]) ).

cnf(c_0_4006_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4006]) ).

cnf(c_0_4007_0,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4007]) ).

cnf(c_0_4007_1,axiom,
    ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4007]) ).

cnf(c_0_4007_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4007]) ).

cnf(c_0_4008_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Oab__semigroup__mult(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4008]) ).

cnf(c_0_4008_1,axiom,
    ( ~ class_OrderedGroup_Oab__semigroup__mult(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4008]) ).

cnf(c_0_4009_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4009]) ).

cnf(c_0_4009_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4009]) ).

cnf(c_0_4010_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4010]) ).

cnf(c_0_4010_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4010]) ).

cnf(c_0_4011_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4011]) ).

cnf(c_0_4011_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4011]) ).

cnf(c_0_4012_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4012]) ).

cnf(c_0_4012_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4012]) ).

cnf(c_0_4013_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4013]) ).

cnf(c_0_4013_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4013]) ).

cnf(c_0_4014_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4014]) ).

cnf(c_0_4014_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4014]) ).

cnf(c_0_4015_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4015]) ).

cnf(c_0_4015_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4015]) ).

cnf(c_0_4016_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4016]) ).

cnf(c_0_4016_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X4)
    | c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4016]) ).

cnf(c_0_4017_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4017]) ).

cnf(c_0_4017_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X4)
    | c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4017]) ).

cnf(c_0_4018_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_RealVector_Oreal__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4018]) ).

cnf(c_0_4018_1,axiom,
    ( ~ class_RealVector_Oreal__algebra(X3)
    | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4018]) ).

cnf(c_0_4019_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__algebra(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4019]) ).

cnf(c_0_4019_1,axiom,
    ( ~ class_RealVector_Oreal__algebra(X4)
    | c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4019]) ).

cnf(c_0_4020_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4020]) ).

cnf(c_0_4020_1,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X3)
    | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4020]) ).

cnf(c_0_4021_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4021]) ).

cnf(c_0_4021_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4021]) ).

cnf(c_0_4022_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4022]) ).

cnf(c_0_4022_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X4)
    | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4022]) ).

cnf(c_0_4023_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4023]) ).

cnf(c_0_4023_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X4),X4) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4023]) ).

cnf(c_0_4024_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4024]) ).

cnf(c_0_4024_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4024]) ).

cnf(c_0_4025_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4025]) ).

cnf(c_0_4025_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4025]) ).

cnf(c_0_4026_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4026]) ).

cnf(c_0_4026_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4026]) ).

cnf(c_0_4027_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4027]) ).

cnf(c_0_4027_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X4)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4027]) ).

cnf(c_0_4028_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Oab__semigroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4028]) ).

cnf(c_0_4028_1,axiom,
    ( ~ class_OrderedGroup_Oab__semigroup__add(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4028]) ).

cnf(c_0_4029_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4029]) ).

cnf(c_0_4029_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X4),X3,X4) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4029]) ).

cnf(c_0_4030_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4030]) ).

cnf(c_0_4030_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X4,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4030]) ).

cnf(c_0_4031_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4031]) ).

cnf(c_0_4031_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4031]) ).

cnf(c_0_4032_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4032]) ).

cnf(c_0_4032_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4032]) ).

cnf(c_0_4033_0,axiom,
    ( c_Polynomial_Opoly(c_Polynomial_Opcompose(X1,X2,X3),X4,X3) = c_Polynomial_Opoly(X1,c_Polynomial_Opoly(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4033]) ).

cnf(c_0_4033_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0(X3)
    | c_Polynomial_Opoly(c_Polynomial_Opcompose(X1,X2,X3),X4,X3) = c_Polynomial_Opoly(X1,c_Polynomial_Opoly(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4033]) ).

cnf(c_0_4034_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4034]) ).

cnf(c_0_4034_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4034]) ).

cnf(c_0_4035_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4035]) ).

cnf(c_0_4035_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4035]) ).

cnf(c_0_4036_0,axiom,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4036]) ).

cnf(c_0_4036_1,axiom,
    ( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4036]) ).

cnf(c_0_4037_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4037]) ).

cnf(c_0_4037_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4037]) ).

cnf(c_0_4038_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4038]) ).

cnf(c_0_4038_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4038]) ).

cnf(c_0_4039_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4039]) ).

cnf(c_0_4039_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4039]) ).

cnf(c_0_4039_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4039]) ).

cnf(c_0_4039_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | c_HOL_Oord__class_Oless(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4039]) ).

cnf(c_0_4040_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4040]) ).

cnf(c_0_4040_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4040]) ).

cnf(c_0_4040_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4040]) ).

cnf(c_0_4040_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | c_HOL_Oord__class_Oless(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4040]) ).

cnf(c_0_4041_0,axiom,
    ( c_lessequals(X3,X1,X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4041]) ).

cnf(c_0_4041_1,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | c_lessequals(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4041]) ).

cnf(c_0_4041_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | c_lessequals(X3,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4041]) ).

cnf(c_0_4041_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | c_lessequals(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4041]) ).

cnf(c_0_4042_0,axiom,
    ( c_lessequals(X3,X1,X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4042]) ).

cnf(c_0_4042_1,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | c_lessequals(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4042]) ).

cnf(c_0_4042_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | c_lessequals(X3,X1,X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4042]) ).

cnf(c_0_4042_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X3,X2),X2)
    | c_lessequals(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4042]) ).

cnf(c_0_4043_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4043]) ).

cnf(c_0_4043_1,axiom,
    ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4043]) ).

cnf(c_0_4043_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4043]) ).

cnf(c_0_4044_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4044]) ).

cnf(c_0_4044_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4044]) ).

cnf(c_0_4044_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4044]) ).

cnf(c_0_4045_0,axiom,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4045]) ).

cnf(c_0_4045_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4045]) ).

cnf(c_0_4045_2,axiom,
    ( c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4045]) ).

cnf(c_0_4045_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4045]) ).

cnf(c_0_4046_0,axiom,
    ( c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4046]) ).

cnf(c_0_4046_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4046]) ).

cnf(c_0_4046_2,axiom,
    ( c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4046]) ).

cnf(c_0_4046_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4046]) ).

cnf(c_0_4047_0,axiom,
    ( c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4047]) ).

cnf(c_0_4047_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X5,X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4047]) ).

cnf(c_0_4047_2,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4047]) ).

cnf(c_0_4047_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4047]) ).

cnf(c_0_4048_0,axiom,
    ( c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4048]) ).

cnf(c_0_4048_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X5,X3)
    | c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4048]) ).

cnf(c_0_4048_2,axiom,
    ( c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4048]) ).

cnf(c_0_4048_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4048]) ).

cnf(c_0_4049_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4049]) ).

cnf(c_0_4049_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4049]) ).

cnf(c_0_4049_2,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4049]) ).

cnf(c_0_4050_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4050]) ).

cnf(c_0_4050_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4050]) ).

cnf(c_0_4050_2,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4050]) ).

cnf(c_0_4051_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4051]) ).

cnf(c_0_4051_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4051]) ).

cnf(c_0_4051_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4051]) ).

cnf(c_0_4051_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4051]) ).

cnf(c_0_4052_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X4,X2,X3),X1,X3) = c_Divides_Odiv__class_Omod(X4,X1,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4052]) ).

cnf(c_0_4052_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X4,X2,X3),X1,X3) = c_Divides_Odiv__class_Omod(X4,X1,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4052]) ).

cnf(c_0_4052_2,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X4,X2,X3),X1,X3) = c_Divides_Odiv__class_Omod(X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4052]) ).

cnf(c_0_4053_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4053]) ).

cnf(c_0_4053_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4053]) ).

cnf(c_0_4053_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4053]) ).

cnf(c_0_4054_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4054]) ).

cnf(c_0_4054_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4054]) ).

cnf(c_0_4054_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4054]) ).

cnf(c_0_4055_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4055]) ).

cnf(c_0_4055_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4055]) ).

cnf(c_0_4055_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4055]) ).

cnf(c_0_4055_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4055]) ).

cnf(c_0_4056_0,axiom,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4056]) ).

cnf(c_0_4056_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4056]) ).

cnf(c_0_4056_2,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4056]) ).

cnf(c_0_4056_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4056]) ).

cnf(c_0_4057_0,axiom,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4057]) ).

cnf(c_0_4057_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4057]) ).

cnf(c_0_4057_2,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4057]) ).

cnf(c_0_4057_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4057]) ).

cnf(c_0_4058_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X2),X2),X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4058]) ).

cnf(c_0_4058_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X2)
    | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X2),X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4058]) ).

cnf(c_0_4059_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X3,X1),X1)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4059]) ).

cnf(c_0_4059_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4059]) ).

cnf(c_0_4060_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X4,X5,X3)
    | X5 = c_HOL_Ozero__class_Ozero(X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(X1,X5,X3) != c_HOL_Oinverse__class_Odivide(X4,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4060]) ).

cnf(c_0_4060_1,axiom,
    ( X5 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X4,X5,X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(X1,X5,X3) != c_HOL_Oinverse__class_Odivide(X4,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4060]) ).

cnf(c_0_4060_2,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X3)
    | X5 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X4,X5,X3)
    | c_HOL_Oinverse__class_Odivide(X1,X5,X3) != c_HOL_Oinverse__class_Odivide(X4,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4060]) ).

cnf(c_0_4060_3,axiom,
    ( c_HOL_Oinverse__class_Odivide(X1,X5,X3) != c_HOL_Oinverse__class_Odivide(X4,X2,X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | X5 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X4,X5,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4060]) ).

cnf(c_0_4060_4,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_HOL_Oinverse__class_Odivide(X1,X5,X3) != c_HOL_Oinverse__class_Odivide(X4,X2,X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | X5 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X4,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4060]) ).

cnf(c_0_4061_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(X1,X2,X3) = c_HOL_Oinverse__class_Odivide(X4,X5,X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | X5 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Otimes__class_Otimes(X1,X5,X3) != c_HOL_Otimes__class_Otimes(X4,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4061]) ).

cnf(c_0_4061_1,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(X1,X2,X3) = c_HOL_Oinverse__class_Odivide(X4,X5,X3)
    | X5 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Otimes__class_Otimes(X1,X5,X3) != c_HOL_Otimes__class_Otimes(X4,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4061]) ).

cnf(c_0_4061_2,axiom,
    ( X5 = c_HOL_Ozero__class_Ozero(X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(X1,X2,X3) = c_HOL_Oinverse__class_Odivide(X4,X5,X3)
    | c_HOL_Otimes__class_Otimes(X1,X5,X3) != c_HOL_Otimes__class_Otimes(X4,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4061]) ).

cnf(c_0_4061_3,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,X5,X3) != c_HOL_Otimes__class_Otimes(X4,X2,X3)
    | X5 = c_HOL_Ozero__class_Ozero(X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(X1,X2,X3) = c_HOL_Oinverse__class_Odivide(X4,X5,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4061]) ).

cnf(c_0_4061_4,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_HOL_Otimes__class_Otimes(X1,X5,X3) != c_HOL_Otimes__class_Otimes(X4,X2,X3)
    | X5 = c_HOL_Ozero__class_Ozero(X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(X1,X2,X3) = c_HOL_Oinverse__class_Odivide(X4,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4061]) ).

cnf(c_0_4062_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4062]) ).

cnf(c_0_4062_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4062]) ).

cnf(c_0_4062_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4062]) ).

cnf(c_0_4062_3,axiom,
    ( c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4062]) ).

cnf(c_0_4062_4,axiom,
    ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X2)
    | c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4062]) ).

cnf(c_0_4063_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4063]) ).

cnf(c_0_4063_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4063]) ).

cnf(c_0_4063_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4063]) ).

cnf(c_0_4063_3,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4063]) ).

cnf(c_0_4063_4,axiom,
    ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X2)
    | c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4063]) ).

cnf(c_0_4064_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4064]) ).

cnf(c_0_4064_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4064]) ).

cnf(c_0_4064_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4064]) ).

cnf(c_0_4064_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4064]) ).

cnf(c_0_4065_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4065]) ).

cnf(c_0_4065_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4065]) ).

cnf(c_0_4065_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4065]) ).

cnf(c_0_4065_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4065]) ).

cnf(c_0_4066_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4066]) ).

cnf(c_0_4066_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4066]) ).

cnf(c_0_4066_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4066]) ).

cnf(c_0_4066_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4066]) ).

cnf(c_0_4067_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4067]) ).

cnf(c_0_4067_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4067]) ).

cnf(c_0_4067_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4067]) ).

cnf(c_0_4067_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X3),c_HOL_Oinverse__class_Oinverse(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4067]) ).

cnf(c_0_4068_0,axiom,
    ( c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4068]) ).

cnf(c_0_4068_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4068]) ).

cnf(c_0_4068_2,axiom,
    ( ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4068]) ).

cnf(c_0_4068_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4068]) ).

cnf(c_0_4068_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4068]) ).

cnf(c_0_4069_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4069]) ).

cnf(c_0_4069_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4069]) ).

cnf(c_0_4069_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4069]) ).

cnf(c_0_4069_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4069]) ).

cnf(c_0_4069_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4069]) ).

cnf(c_0_4070_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4070]) ).

cnf(c_0_4070_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4070]) ).

cnf(c_0_4070_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4070]) ).

cnf(c_0_4070_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4070]) ).

cnf(c_0_4071_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4071]) ).

cnf(c_0_4071_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4071]) ).

cnf(c_0_4071_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4071]) ).

cnf(c_0_4071_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4071]) ).

cnf(c_0_4072_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4072]) ).

cnf(c_0_4072_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4072]) ).

cnf(c_0_4072_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4072]) ).

cnf(c_0_4072_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4072]) ).

cnf(c_0_4073_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4073]) ).

cnf(c_0_4073_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4073]) ).

cnf(c_0_4073_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4073]) ).

cnf(c_0_4073_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4073]) ).

cnf(c_0_4074_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4074]) ).

cnf(c_0_4074_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4074]) ).

cnf(c_0_4075_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4075]) ).

cnf(c_0_4075_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4075]) ).

cnf(c_0_4075_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4075]) ).

cnf(c_0_4075_3,axiom,
    ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4075]) ).

cnf(c_0_4076_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4076]) ).

cnf(c_0_4076_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4076]) ).

cnf(c_0_4077_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4077]) ).

cnf(c_0_4077_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4077]) ).

cnf(c_0_4078_0,axiom,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4078]) ).

cnf(c_0_4078_1,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4078]) ).

cnf(c_0_4078_2,axiom,
    ( ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4078]) ).

cnf(c_0_4079_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4079]) ).

cnf(c_0_4079_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4079]) ).

cnf(c_0_4080_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4080]) ).

cnf(c_0_4080_1,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4080]) ).

cnf(c_0_4081_0,axiom,
    ( X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) != X4
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4081]) ).

cnf(c_0_4081_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) != X4
    | X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4081]) ).

cnf(c_0_4081_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) != X4
    | X1 = c_HOL_Ouminus__class_Ouminus(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4081]) ).

cnf(c_0_4082_0,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oone__class_Oone(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4082]) ).

cnf(c_0_4082_1,axiom,
    ( c_lessequals(c_HOL_Oone__class_Oone(X2),X1,X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4082]) ).

cnf(c_0_4082_2,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | c_lessequals(c_HOL_Oone__class_Oone(X2),X1,X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4082]) ).

cnf(c_0_4082_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | c_lessequals(c_HOL_Oone__class_Oone(X2),X1,X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4082]) ).

cnf(c_0_4082_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | c_lessequals(c_HOL_Oone__class_Oone(X2),X1,X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4082]) ).

cnf(c_0_4083_0,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4083]) ).

cnf(c_0_4083_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X1,X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4083]) ).

cnf(c_0_4083_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X1,X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4083]) ).

cnf(c_0_4083_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X1,X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4083]) ).

cnf(c_0_4083_4,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X1,X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4083]) ).

cnf(c_0_4084_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4084]) ).

cnf(c_0_4084_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4084]) ).

cnf(c_0_4084_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4084]) ).

cnf(c_0_4085_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4085]) ).

cnf(c_0_4085_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4085]) ).

cnf(c_0_4085_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4085]) ).

cnf(c_0_4086_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4086]) ).

cnf(c_0_4086_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4086]) ).

cnf(c_0_4086_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4086]) ).

cnf(c_0_4087_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4087]) ).

cnf(c_0_4087_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4087]) ).

cnf(c_0_4088_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4088]) ).

cnf(c_0_4088_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4088]) ).

cnf(c_0_4088_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4088]) ).

cnf(c_0_4089_0,axiom,
    ( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4089]) ).

cnf(c_0_4089_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4089]) ).

cnf(c_0_4089_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4089]) ).

cnf(c_0_4090_0,axiom,
    ( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4090]) ).

cnf(c_0_4090_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4090]) ).

cnf(c_0_4090_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4090]) ).

cnf(c_0_4091_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4091]) ).

cnf(c_0_4091_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4091]) ).

cnf(c_0_4091_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4091]) ).

cnf(c_0_4092_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4092]) ).

cnf(c_0_4092_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4092]) ).

cnf(c_0_4092_2,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4092]) ).

cnf(c_0_4093_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4093]) ).

cnf(c_0_4093_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4093]) ).

cnf(c_0_4093_2,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4093]) ).

cnf(c_0_4094_0,axiom,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4094]) ).

cnf(c_0_4094_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
    | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4094]) ).

cnf(c_0_4095_0,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4095]) ).

cnf(c_0_4095_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4095]) ).

cnf(c_0_4096_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X1,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X1,X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4096]) ).

cnf(c_0_4096_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
    | c_HOL_Oplus__class_Oplus(X1,X1,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_HOL_Oone__class_Oone(X2),X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4096]) ).

cnf(c_0_4097_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4097]) ).

cnf(c_0_4097_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4097]) ).

cnf(c_0_4097_2,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | 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_4097]) ).

cnf(c_0_4097_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X3,X2),c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4097]) ).

cnf(c_0_4098_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4098]) ).

cnf(c_0_4098_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4098]) ).

cnf(c_0_4098_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X3),c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4098]) ).

cnf(c_0_4099_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4099]) ).

cnf(c_0_4099_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4099]) ).

cnf(c_0_4099_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4099]) ).

cnf(c_0_4100_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4100]) ).

cnf(c_0_4100_1,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X3)
    | c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4100]) ).

cnf(c_0_4100_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_RealVector_Oreal__normed__field(X3)
    | c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4100]) ).

cnf(c_0_4101_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4101]) ).

cnf(c_0_4101_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4101]) ).

cnf(c_0_4101_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4101]) ).

cnf(c_0_4102_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),X3)
    | ~ class_RealVector_Oreal__field(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4102]) ).

cnf(c_0_4102_1,axiom,
    ( ~ class_RealVector_Oreal__field(X3)
    | c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4102]) ).

cnf(c_0_4102_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_RealVector_Oreal__field(X3)
    | c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4102]) ).

cnf(c_0_4103_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4103]) ).

cnf(c_0_4103_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X3)
    | c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4103]) ).

cnf(c_0_4103_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4103]) ).

cnf(c_0_4104_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X3,X2),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4104]) ).

cnf(c_0_4104_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X3,X2),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4104]) ).

cnf(c_0_4104_2,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X2)
    | c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X3,X2),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4104]) ).

cnf(c_0_4105_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,v_sko__local__Xs__1(v_p,v_r,X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,v_s____,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4105]) ).

cnf(c_0_4105_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,v_s____,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,v_sko__local__Xs__1(v_p,v_r,X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4105]) ).

cnf(c_0_4106_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X2,X3),c_RealVector_Oof__real(X1,X3),X3) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),X3)
    | ~ class_RealVector_Oreal__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4106]) ).

cnf(c_0_4106_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X2,X3),c_RealVector_Oof__real(X1,X3),X3) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),X3)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4106]) ).

cnf(c_0_4106_2,axiom,
    ( ~ class_RealVector_Oreal__field(X3)
    | c_HOL_Oinverse__class_Odivide(c_RealVector_Oof__real(X2,X3),c_RealVector_Oof__real(X1,X3),X3) = c_RealVector_Oof__real(c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),X3)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4106]) ).

cnf(c_0_4107_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4107]) ).

cnf(c_0_4107_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4107]) ).

cnf(c_0_4107_2,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4107]) ).

cnf(c_0_4107_3,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4107]) ).

cnf(c_0_4108_0,axiom,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4108]) ).

cnf(c_0_4108_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4108]) ).

cnf(c_0_4108_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4108]) ).

cnf(c_0_4108_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4108]) ).

cnf(c_0_4109_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4109]) ).

cnf(c_0_4109_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4109]) ).

cnf(c_0_4109_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4109]) ).

cnf(c_0_4109_3,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4109]) ).

cnf(c_0_4110_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4110]) ).

cnf(c_0_4110_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4110]) ).

cnf(c_0_4110_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4110]) ).

cnf(c_0_4110_3,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4110]) ).

cnf(c_0_4111_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4111]) ).

cnf(c_0_4111_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4111]) ).

cnf(c_0_4111_2,axiom,
    ( ~ c_lessequals(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4111]) ).

cnf(c_0_4111_3,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4111]) ).

cnf(c_0_4112_0,axiom,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4112]) ).

cnf(c_0_4112_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4112]) ).

cnf(c_0_4112_2,axiom,
    ( ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4112]) ).

cnf(c_0_4112_3,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4112]) ).

cnf(c_0_4113_0,axiom,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4113]) ).

cnf(c_0_4113_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4113]) ).

cnf(c_0_4113_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4113]) ).

cnf(c_0_4113_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_HOL_Oord__class_Oless(X4,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4113]) ).

cnf(c_0_4114_0,axiom,
    ( c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4114]) ).

cnf(c_0_4114_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4114]) ).

cnf(c_0_4114_2,axiom,
    ( ~ c_lessequals(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4114]) ).

cnf(c_0_4114_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4114]) ).

cnf(c_0_4115_0,axiom,
    ( c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4115]) ).

cnf(c_0_4115_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4115]) ).

cnf(c_0_4115_2,axiom,
    ( ~ c_lessequals(X4,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4115]) ).

cnf(c_0_4115_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4115]) ).

cnf(c_0_4116_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4116]) ).

cnf(c_0_4116_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4116]) ).

cnf(c_0_4117_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X3),c_HOL_Osgn__class_Osgn(X2,X3),X3) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__div__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4117]) ).

cnf(c_0_4117_1,axiom,
    ( ~ class_RealVector_Oreal__normed__div__algebra(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X3),c_HOL_Osgn__class_Osgn(X2,X3),X3) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4117]) ).

cnf(c_0_4118_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X3),c_HOL_Osgn__class_Osgn(X2,X3),X3) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4118]) ).

cnf(c_0_4118_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X3),c_HOL_Osgn__class_Osgn(X2,X3),X3) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4118]) ).

cnf(c_0_4119_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4119]) ).

cnf(c_0_4119_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X3),c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4119]) ).

cnf(c_0_4120_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4120]) ).

cnf(c_0_4120_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4120]) ).

cnf(c_0_4121_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4121]) ).

cnf(c_0_4121_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X2)
    | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4121]) ).

cnf(c_0_4122_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4122]) ).

cnf(c_0_4122_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X3)
    | c_HOL_Oplus__class_Oplus(c_RealVector_Oof__real(X1,X3),c_RealVector_Oof__real(X2,X3),X3) = c_RealVector_Oof__real(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4122]) ).

cnf(c_0_4123_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4123]) ).

cnf(c_0_4123_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | c_HOL_Oord__class_Oless(X3,X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4123]) ).

cnf(c_0_4123_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | c_HOL_Oord__class_Oless(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4123]) ).

cnf(c_0_4124_0,axiom,
    ( c_lessequals(X3,X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4124]) ).

cnf(c_0_4124_1,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | c_lessequals(X3,X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4124]) ).

cnf(c_0_4124_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | c_lessequals(X3,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4124]) ).

cnf(c_0_4125_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = c_Divides_Odiv__class_Omod(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4125]) ).

cnf(c_0_4125_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = c_Divides_Odiv__class_Omod(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4125]) ).

cnf(c_0_4126_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X1,X3) = c_Divides_Odiv__class_Omod(X2,X1,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4126]) ).

cnf(c_0_4126_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X1,X2,X3),X1,X3) = c_Divides_Odiv__class_Omod(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4126]) ).

cnf(c_0_4127_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,X2,X3)
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4127]) ).

cnf(c_0_4127_1,axiom,
    ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X3)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4127]) ).

cnf(c_0_4128_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3) = c_Divides_Odiv__class_Omod(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4128]) ).

cnf(c_0_4128_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3) = c_Divides_Odiv__class_Omod(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4128]) ).

cnf(c_0_4129_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2) = X3
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4129]) ).

cnf(c_0_4129_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4129]) ).

cnf(c_0_4130_0,axiom,
    ( c_lessequals(X1,X3,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4130]) ).

cnf(c_0_4130_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(X1,X3,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4130]) ).

cnf(c_0_4130_2,axiom,
    ( ~ c_lessequals(X2,X3,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(X1,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4130]) ).

cnf(c_0_4131_0,axiom,
    ( c_Polynomial_Opoly(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X2)),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Opoly(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Ocomm__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4131]) ).

cnf(c_0_4131_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring(X2)
    | c_Polynomial_Opoly(c_HOL_Ouminus__class_Ouminus(X1,tc_Polynomial_Opoly(X2)),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_Polynomial_Opoly(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4131]) ).

cnf(c_0_4132_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4132]) ).

cnf(c_0_4132_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4132]) ).

cnf(c_0_4132_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4132]) ).

cnf(c_0_4133_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4133]) ).

cnf(c_0_4133_1,axiom,
    ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4133]) ).

cnf(c_0_4133_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4133]) ).

cnf(c_0_4134_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4134]) ).

cnf(c_0_4134_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4134]) ).

cnf(c_0_4134_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4134]) ).

cnf(c_0_4135_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4135]) ).

cnf(c_0_4135_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4135]) ).

cnf(c_0_4135_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4135]) ).

cnf(c_0_4136_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4136]) ).

cnf(c_0_4136_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4136]) ).

cnf(c_0_4136_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4136]) ).

cnf(c_0_4137_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4137]) ).

cnf(c_0_4137_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4137]) ).

cnf(c_0_4137_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4137]) ).

cnf(c_0_4138_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4138]) ).

cnf(c_0_4138_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4138]) ).

cnf(c_0_4138_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4138]) ).

cnf(c_0_4139_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4139]) ).

cnf(c_0_4139_1,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4139]) ).

cnf(c_0_4139_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4139]) ).

cnf(c_0_4140_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4140]) ).

cnf(c_0_4140_1,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4140]) ).

cnf(c_0_4140_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4140]) ).

cnf(c_0_4141_0,axiom,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4141]) ).

cnf(c_0_4141_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4141]) ).

cnf(c_0_4141_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4141]) ).

cnf(c_0_4142_0,axiom,
    ( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4142]) ).

cnf(c_0_4142_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4142]) ).

cnf(c_0_4142_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4142]) ).

cnf(c_0_4143_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4143]) ).

cnf(c_0_4143_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4143]) ).

cnf(c_0_4143_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4143]) ).

cnf(c_0_4144_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4144]) ).

cnf(c_0_4144_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4144]) ).

cnf(c_0_4144_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4144]) ).

cnf(c_0_4144_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4144]) ).

cnf(c_0_4145_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4145]) ).

cnf(c_0_4145_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4145]) ).

cnf(c_0_4145_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4145]) ).

cnf(c_0_4145_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Oone__class_Oone(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4145]) ).

cnf(c_0_4146_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4146]) ).

cnf(c_0_4146_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4146]) ).

cnf(c_0_4146_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4146]) ).

cnf(c_0_4146_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4146]) ).

cnf(c_0_4147_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4147]) ).

cnf(c_0_4147_1,axiom,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4147]) ).

cnf(c_0_4147_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4147]) ).

cnf(c_0_4147_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4147]) ).

cnf(c_0_4148_0,axiom,
    ( c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4148]) ).

cnf(c_0_4148_1,axiom,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4148]) ).

cnf(c_0_4148_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4148]) ).

cnf(c_0_4148_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_lessequals(X2,c_HOL_Oone__class_Oone(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4148]) ).

cnf(c_0_4149_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4149]) ).

cnf(c_0_4149_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4149]) ).

cnf(c_0_4149_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4149]) ).

cnf(c_0_4149_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4149]) ).

cnf(c_0_4150_0,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4150]) ).

cnf(c_0_4150_1,axiom,
    ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4150]) ).

cnf(c_0_4150_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4150]) ).

cnf(c_0_4150_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4150]) ).

cnf(c_0_4151_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4151]) ).

cnf(c_0_4151_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4151]) ).

cnf(c_0_4151_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4151]) ).

cnf(c_0_4151_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4151]) ).

cnf(c_0_4152_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4152]) ).

cnf(c_0_4152_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4152]) ).

cnf(c_0_4152_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4152]) ).

cnf(c_0_4152_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4152]) ).

cnf(c_0_4153_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4153]) ).

cnf(c_0_4153_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4153]) ).

cnf(c_0_4153_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4153]) ).

cnf(c_0_4153_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | X2 = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4153]) ).

cnf(c_0_4154_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4154]) ).

cnf(c_0_4154_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4154]) ).

cnf(c_0_4155_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4155]) ).

cnf(c_0_4155_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4155]) ).

cnf(c_0_4156_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4156]) ).

cnf(c_0_4156_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4156]) ).

cnf(c_0_4157_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4157]) ).

cnf(c_0_4157_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4157]) ).

cnf(c_0_4158_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4158]) ).

cnf(c_0_4158_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4158]) ).

cnf(c_0_4159_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4159]) ).

cnf(c_0_4159_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X3)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4159]) ).

cnf(c_0_4160_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4160]) ).

cnf(c_0_4160_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X3)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4160]) ).

cnf(c_0_4161_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4161]) ).

cnf(c_0_4161_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X3)
    | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4161]) ).

cnf(c_0_4162_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4162]) ).

cnf(c_0_4162_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4162]) ).

cnf(c_0_4163_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
    | ~ class_RealVector_Oreal__normed__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4163]) ).

cnf(c_0_4163_1,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4163]) ).

cnf(c_0_4164_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4164]) ).

cnf(c_0_4164_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X3)
    | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4164]) ).

cnf(c_0_4165_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4165]) ).

cnf(c_0_4165_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X3)
    | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4165]) ).

cnf(c_0_4166_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4166]) ).

cnf(c_0_4166_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X3) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4166]) ).

cnf(c_0_4167_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4167]) ).

cnf(c_0_4167_1,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4167]) ).

cnf(c_0_4167_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4167]) ).

cnf(c_0_4168_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4168]) ).

cnf(c_0_4168_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4168]) ).

cnf(c_0_4168_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4168]) ).

cnf(c_0_4169_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Osgn__class_Osgn(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4169]) ).

cnf(c_0_4169_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Osgn__class_Osgn(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4169]) ).

cnf(c_0_4169_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Osgn__class_Osgn(X2,X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4169]) ).

cnf(c_0_4170_0,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4170]) ).

cnf(c_0_4170_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4170]) ).

cnf(c_0_4170_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4170]) ).

cnf(c_0_4171_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4171]) ).

cnf(c_0_4171_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4171]) ).

cnf(c_0_4171_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4171]) ).

cnf(c_0_4172_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4172]) ).

cnf(c_0_4172_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4172]) ).

cnf(c_0_4172_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4172]) ).

cnf(c_0_4173_0,axiom,
    ( c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4173]) ).

cnf(c_0_4173_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4173]) ).

cnf(c_0_4173_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4173]) ).

cnf(c_0_4173_3,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4173]) ).

cnf(c_0_4174_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4174]) ).

cnf(c_0_4174_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4174]) ).

cnf(c_0_4174_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4174]) ).

cnf(c_0_4175_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4175]) ).

cnf(c_0_4175_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4175]) ).

cnf(c_0_4175_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4175]) ).

cnf(c_0_4176_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4176]) ).

cnf(c_0_4176_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4176]) ).

cnf(c_0_4177_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4177]) ).

cnf(c_0_4177_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4177]) ).

cnf(c_0_4177_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4177]) ).

cnf(c_0_4177_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4177]) ).

cnf(c_0_4178_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4178]) ).

cnf(c_0_4178_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4178]) ).

cnf(c_0_4178_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4178]) ).

cnf(c_0_4178_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oone__class_Oone(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4178]) ).

cnf(c_0_4179_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4179]) ).

cnf(c_0_4179_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4179]) ).

cnf(c_0_4179_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4179]) ).

cnf(c_0_4179_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4179]) ).

cnf(c_0_4180_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4180]) ).

cnf(c_0_4180_1,axiom,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4180]) ).

cnf(c_0_4180_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4180]) ).

cnf(c_0_4180_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X2,X1)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4180]) ).

cnf(c_0_4181_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4181]) ).

cnf(c_0_4181_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4181]) ).

cnf(c_0_4181_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4181]) ).

cnf(c_0_4181_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4181]) ).

cnf(c_0_4182_0,axiom,
    ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4182]) ).

cnf(c_0_4182_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4182]) ).

cnf(c_0_4182_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4182]) ).

cnf(c_0_4182_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4182]) ).

cnf(c_0_4183_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4183]) ).

cnf(c_0_4183_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4183]) ).

cnf(c_0_4183_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4183]) ).

cnf(c_0_4183_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4183]) ).

cnf(c_0_4184_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4184]) ).

cnf(c_0_4184_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4184]) ).

cnf(c_0_4184_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4184]) ).

cnf(c_0_4184_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oone__class_Oone(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4184]) ).

cnf(c_0_4185_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4185]) ).

cnf(c_0_4185_1,axiom,
    ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4185]) ).

cnf(c_0_4186_0,axiom,
    ( X1 = X2
    | X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | c_HOL_Otimes__class_Otimes(X1,X1,X3) != c_HOL_Otimes__class_Otimes(X2,X2,X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4186]) ).

cnf(c_0_4186_1,axiom,
    ( X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | X1 = X2
    | c_HOL_Otimes__class_Otimes(X1,X1,X3) != c_HOL_Otimes__class_Otimes(X2,X2,X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4186]) ).

cnf(c_0_4186_2,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,X1,X3) != c_HOL_Otimes__class_Otimes(X2,X2,X3)
    | X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | X1 = X2
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4186]) ).

cnf(c_0_4186_3,axiom,
    ( ~ class_Ring__and__Field_Oidom(X3)
    | c_HOL_Otimes__class_Otimes(X1,X1,X3) != c_HOL_Otimes__class_Otimes(X2,X2,X3)
    | X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4186]) ).

cnf(c_0_4187_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2) = X3
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4187]) ).

cnf(c_0_4187_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X1,X3,X2),X2) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4187]) ).

cnf(c_0_4188_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) = X3
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4188]) ).

cnf(c_0_4188_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oplus__class_Oplus(X3,X1,X2),X2) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4188]) ).

cnf(c_0_4189_0,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4189]) ).

cnf(c_0_4189_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4189]) ).

cnf(c_0_4189_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4189]) ).

cnf(c_0_4190_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4190]) ).

cnf(c_0_4190_1,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4190]) ).

cnf(c_0_4190_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4190]) ).

cnf(c_0_4191_0,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4191]) ).

cnf(c_0_4191_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4191]) ).

cnf(c_0_4191_2,axiom,
    ( ~ class_OrderedGroup_Oordered__ab__group__add(X2)
    | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4191]) ).

cnf(c_0_4192_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4192]) ).

cnf(c_0_4192_1,axiom,
    ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4192]) ).

cnf(c_0_4192_2,axiom,
    ( ~ class_OrderedGroup_Oordered__ab__group__add(X2)
    | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4192]) ).

cnf(c_0_4193_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4193]) ).

cnf(c_0_4193_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4193]) ).

cnf(c_0_4193_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4193]) ).

cnf(c_0_4194_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4194]) ).

cnf(c_0_4194_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4194]) ).

cnf(c_0_4194_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4194]) ).

cnf(c_0_4195_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4195]) ).

cnf(c_0_4195_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4195]) ).

cnf(c_0_4195_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4195]) ).

cnf(c_0_4196_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4196]) ).

cnf(c_0_4196_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4196]) ).

cnf(c_0_4196_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4196]) ).

cnf(c_0_4197_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4197]) ).

cnf(c_0_4197_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4197]) ).

cnf(c_0_4197_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4197]) ).

cnf(c_0_4198_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Osgn__class_Osgn(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4198]) ).

cnf(c_0_4198_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Osgn__class_Osgn(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4198]) ).

cnf(c_0_4198_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Osgn__class_Osgn(X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4198]) ).

cnf(c_0_4199_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4199]) ).

cnf(c_0_4199_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4199]) ).

cnf(c_0_4199_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4199]) ).

cnf(c_0_4200_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4200]) ).

cnf(c_0_4200_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4200]) ).

cnf(c_0_4200_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4200]) ).

cnf(c_0_4201_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4201]) ).

cnf(c_0_4201_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4201]) ).

cnf(c_0_4201_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4201]) ).

cnf(c_0_4202_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4202]) ).

cnf(c_0_4202_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4202]) ).

cnf(c_0_4202_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4202]) ).

cnf(c_0_4203_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4203]) ).

cnf(c_0_4203_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4203]) ).

cnf(c_0_4203_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4203]) ).

cnf(c_0_4204_0,axiom,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) = c_HOL_Oinverse__class_Odivide(X2,X1,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4204]) ).

cnf(c_0_4204_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) = c_HOL_Oinverse__class_Odivide(X2,X1,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4204]) ).

cnf(c_0_4204_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) = c_HOL_Oinverse__class_Odivide(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4204]) ).

cnf(c_0_4205_0,axiom,
    ( c_lessequals(X1,X3,X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4205]) ).

cnf(c_0_4205_1,axiom,
    ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_lessequals(X1,X3,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4205]) ).

cnf(c_0_4205_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_lessequals(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4205]) ).

cnf(c_0_4206_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X3,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4206]) ).

cnf(c_0_4206_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(X1,X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4206]) ).

cnf(c_0_4206_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_HOL_Oord__class_Oless(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4206]) ).

cnf(c_0_4207_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4207]) ).

cnf(c_0_4207_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4207]) ).

cnf(c_0_4207_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4207]) ).

cnf(c_0_4208_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4208]) ).

cnf(c_0_4208_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X3),X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4208]) ).

cnf(c_0_4208_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X3),X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4208]) ).

cnf(c_0_4209_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4209]) ).

cnf(c_0_4209_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4209]) ).

cnf(c_0_4209_2,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X2)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4209]) ).

cnf(c_0_4210_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4210]) ).

cnf(c_0_4210_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4210]) ).

cnf(c_0_4210_2,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4210]) ).

cnf(c_0_4211_0,axiom,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_Int_Onumber__ring(X4)
    | ~ class_Ring__and__Field_Oidom(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4211]) ).

cnf(c_0_4211_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | X1 = X2
    | ~ class_Int_Onumber__ring(X4)
    | ~ class_Ring__and__Field_Oidom(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4211]) ).

cnf(c_0_4211_2,axiom,
    ( ~ class_Int_Onumber__ring(X4)
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | X1 = X2
    | ~ class_Ring__and__Field_Oidom(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4211]) ).

cnf(c_0_4211_3,axiom,
    ( ~ class_Ring__and__Field_Oidom(X4)
    | ~ class_Int_Onumber__ring(X4)
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4211]) ).

cnf(c_0_4212_0,axiom,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(X4)
    | c_RealVector_OscaleR__class_OscaleR(X1,X3,X4) != c_RealVector_OscaleR__class_OscaleR(X2,X3,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4212]) ).

cnf(c_0_4212_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X4)
    | X1 = X2
    | c_RealVector_OscaleR__class_OscaleR(X1,X3,X4) != c_RealVector_OscaleR__class_OscaleR(X2,X3,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4212]) ).

cnf(c_0_4212_2,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,X3,X4) != c_RealVector_OscaleR__class_OscaleR(X2,X3,X4)
    | X3 = c_HOL_Ozero__class_Ozero(X4)
    | X1 = X2
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4212]) ).

cnf(c_0_4212_3,axiom,
    ( ~ class_RealVector_Oreal__vector(X4)
    | c_RealVector_OscaleR__class_OscaleR(X1,X3,X4) != c_RealVector_OscaleR__class_OscaleR(X2,X3,X4)
    | X3 = c_HOL_Ozero__class_Ozero(X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4212]) ).

cnf(c_0_4213_0,axiom,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_RealVector_OscaleR__class_OscaleR(X3,X1,X4) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4213]) ).

cnf(c_0_4213_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = X2
    | c_RealVector_OscaleR__class_OscaleR(X3,X1,X4) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X4)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4213]) ).

cnf(c_0_4213_2,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X3,X1,X4) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X4)
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = X2
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4213]) ).

cnf(c_0_4213_3,axiom,
    ( ~ class_RealVector_Oreal__vector(X4)
    | c_RealVector_OscaleR__class_OscaleR(X3,X1,X4) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X4)
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4213]) ).

cnf(c_0_4214_0,axiom,
    ( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4214]) ).

cnf(c_0_4214_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4214]) ).

cnf(c_0_4214_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4214]) ).

cnf(c_0_4215_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4215]) ).

cnf(c_0_4215_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4215]) ).

cnf(c_0_4215_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4215]) ).

cnf(c_0_4216_0,axiom,
    ( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4216]) ).

cnf(c_0_4216_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4216]) ).

cnf(c_0_4216_2,axiom,
    ( ~ class_OrderedGroup_Oordered__ab__group__add(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4216]) ).

cnf(c_0_4217_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4217]) ).

cnf(c_0_4217_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4217]) ).

cnf(c_0_4217_2,axiom,
    ( ~ class_OrderedGroup_Oordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4217]) ).

cnf(c_0_4218_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4218]) ).

cnf(c_0_4218_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4218]) ).

cnf(c_0_4218_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4218]) ).

cnf(c_0_4219_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Ominus__class_Ominus(X2,X1,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4219]) ).

cnf(c_0_4219_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_HOL_Ominus__class_Ominus(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4219]) ).

cnf(c_0_4220_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4220]) ).

cnf(c_0_4220_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4220]) ).

cnf(c_0_4220_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4220]) ).

cnf(c_0_4220_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4220]) ).

cnf(c_0_4221_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4221]) ).

cnf(c_0_4221_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4221]) ).

cnf(c_0_4221_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4221]) ).

cnf(c_0_4221_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4221]) ).

cnf(c_0_4222_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X1,X2) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4222]) ).

cnf(c_0_4222_1,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4222]) ).

cnf(c_0_4222_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4222]) ).

cnf(c_0_4222_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4222]) ).

cnf(c_0_4223_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X1,X2) = X3
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4223]) ).

cnf(c_0_4223_1,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4223]) ).

cnf(c_0_4223_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4223]) ).

cnf(c_0_4223_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4223]) ).

cnf(c_0_4224_0,axiom,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4224]) ).

cnf(c_0_4224_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X2 = X1
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4224]) ).

cnf(c_0_4224_2,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X2 = X1
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4224]) ).

cnf(c_0_4224_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4224]) ).

cnf(c_0_4225_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4225]) ).

cnf(c_0_4225_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4225]) ).

cnf(c_0_4225_2,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4225]) ).

cnf(c_0_4225_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4225]) ).

cnf(c_0_4226_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4226]) ).

cnf(c_0_4226_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4226]) ).

cnf(c_0_4226_2,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4226]) ).

cnf(c_0_4226_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4226]) ).

cnf(c_0_4227_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X2),X2),X2)
    | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4227]) ).

cnf(c_0_4227_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X2),X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4227]) ).

cnf(c_0_4228_0,axiom,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4228]) ).

cnf(c_0_4228_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | X1 = X2
    | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4228]) ).

cnf(c_0_4228_2,axiom,
    ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X4)
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4228]) ).

cnf(c_0_4229_0,axiom,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4229]) ).

cnf(c_0_4229_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | X1 = X2
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4229]) ).

cnf(c_0_4229_2,axiom,
    ( ~ class_OrderedGroup_Ocancel__semigroup__add(X4)
    | c_HOL_Oplus__class_Oplus(X3,X1,X4) != c_HOL_Oplus__class_Oplus(X3,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4229]) ).

cnf(c_0_4230_0,axiom,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X1,X3,X4) != c_HOL_Oplus__class_Oplus(X2,X3,X4)
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4230]) ).

cnf(c_0_4230_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X3,X4) != c_HOL_Oplus__class_Oplus(X2,X3,X4)
    | X1 = X2
    | ~ class_OrderedGroup_Ocancel__semigroup__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4230]) ).

cnf(c_0_4230_2,axiom,
    ( ~ class_OrderedGroup_Ocancel__semigroup__add(X4)
    | c_HOL_Oplus__class_Oplus(X1,X3,X4) != c_HOL_Oplus__class_Oplus(X2,X3,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4230]) ).

cnf(c_0_4231_0,axiom,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4231]) ).

cnf(c_0_4231_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | X1 = X2
    | ~ class_OrderedGroup_Oab__group__add(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_4231]) ).

cnf(c_0_4231_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X4)
    | c_HOL_Ominus__class_Ominus(X3,X3,X4) != c_HOL_Ominus__class_Ominus(X1,X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4231]) ).

cnf(c_0_4232_0,axiom,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4232]) ).

cnf(c_0_4232_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | X1 = X2
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4232]) ).

cnf(c_0_4232_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4232]) ).

cnf(c_0_4233_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4233]) ).

cnf(c_0_4233_1,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4233]) ).

cnf(c_0_4233_2,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4233]) ).

cnf(c_0_4234_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4234]) ).

cnf(c_0_4234_1,axiom,
    ( ~ c_lessequals(X1,X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4234]) ).

cnf(c_0_4234_2,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ c_lessequals(X1,X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4234]) ).

cnf(c_0_4235_0,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4235]) ).

cnf(c_0_4235_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4235]) ).

cnf(c_0_4235_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4235]) ).

cnf(c_0_4236_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4236]) ).

cnf(c_0_4236_1,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4236]) ).

cnf(c_0_4236_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4236]) ).

cnf(c_0_4237_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4237]) ).

cnf(c_0_4237_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4237]) ).

cnf(c_0_4237_2,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4237]) ).

cnf(c_0_4238_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4238]) ).

cnf(c_0_4238_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4238]) ).

cnf(c_0_4238_2,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4238]) ).

cnf(c_0_4239_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4239]) ).

cnf(c_0_4239_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4239]) ).

cnf(c_0_4239_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4239]) ).

cnf(c_0_4240_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4240]) ).

cnf(c_0_4240_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4240]) ).

cnf(c_0_4240_2,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4240]) ).

cnf(c_0_4241_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Oinverse__class_Odivide(X1,X3,X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4241]) ).

cnf(c_0_4241_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Oinverse__class_Odivide(X1,X3,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4241]) ).

cnf(c_0_4241_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Oinverse__class_Odivide(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4241]) ).

cnf(c_0_4242_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4242]) ).

cnf(c_0_4242_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4242]) ).

cnf(c_0_4243_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = X1
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4243]) ).

cnf(c_0_4243_1,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = X1
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4243]) ).

cnf(c_0_4243_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4243]) ).

cnf(c_0_4244_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = X1
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4244]) ).

cnf(c_0_4244_1,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = X1
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4244]) ).

cnf(c_0_4244_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4244]) ).

cnf(c_0_4245_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4245]) ).

cnf(c_0_4245_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4245]) ).

cnf(c_0_4245_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4245]) ).

cnf(c_0_4246_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4246]) ).

cnf(c_0_4246_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4246]) ).

cnf(c_0_4246_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4246]) ).

cnf(c_0_4247_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4247]) ).

cnf(c_0_4247_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4247]) ).

cnf(c_0_4247_2,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4247]) ).

cnf(c_0_4248_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4248]) ).

cnf(c_0_4248_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__ring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4248]) ).

cnf(c_0_4248_2,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4248]) ).

cnf(c_0_4249_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X1,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4249]) ).

cnf(c_0_4249_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X1,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4249]) ).

cnf(c_0_4249_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X3,X1,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4249]) ).

cnf(c_0_4250_0,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4250]) ).

cnf(c_0_4250_1,axiom,
    ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4250]) ).

cnf(c_0_4251_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X1,X3) = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4251]) ).

cnf(c_0_4251_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X1,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4251]) ).

cnf(c_0_4252_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4252]) ).

cnf(c_0_4252_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X1,X2,X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4252]) ).

cnf(c_0_4253_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4253]) ).

cnf(c_0_4253_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | X1 = X2
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4253]) ).

cnf(c_0_4253_2,axiom,
    ( ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4253]) ).

cnf(c_0_4254_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3) = X1
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4254]) ).

cnf(c_0_4254_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4254]) ).

cnf(c_0_4255_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = X1
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4255]) ).

cnf(c_0_4255_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4255]) ).

cnf(c_0_4256_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4256]) ).

cnf(c_0_4256_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4256]) ).

cnf(c_0_4257_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4257]) ).

cnf(c_0_4257_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4257]) ).

cnf(c_0_4258_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odvd(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4258]) ).

cnf(c_0_4258_1,axiom,
    ( ~ class_Ring__and__Field_Odvd(X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4258]) ).

cnf(c_0_4259_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Otimes__class_Otimes(X1,X1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4259]) ).

cnf(c_0_4259_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Otimes__class_Otimes(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4259]) ).

cnf(c_0_4260_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
    | ~ class_Ring__and__Field_Oring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4260]) ).

cnf(c_0_4260_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4260]) ).

cnf(c_0_4261_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Otimes__class_Otimes(X1,X3,X2)
    | ~ class_Ring__and__Field_Oring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4261]) ).

cnf(c_0_4261_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2) = c_HOL_Otimes__class_Otimes(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4261]) ).

cnf(c_0_4262_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Otimes__class_Otimes(X1,X1,X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4262]) ).

cnf(c_0_4262_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Otimes__class_Otimes(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4262]) ).

cnf(c_0_4263_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4263]) ).

cnf(c_0_4263_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4263]) ).

cnf(c_0_4264_0,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4264]) ).

cnf(c_0_4264_1,axiom,
    ( ~ c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
    | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4264]) ).

cnf(c_0_4265_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4265]) ).

cnf(c_0_4265_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4265]) ).

cnf(c_0_4266_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4266]) ).

cnf(c_0_4266_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4266]) ).

cnf(c_0_4267_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4267]) ).

cnf(c_0_4267_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4267]) ).

cnf(c_0_4268_0,axiom,
    ( c_lessequals(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4268]) ).

cnf(c_0_4268_1,axiom,
    ( ~ c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4268]) ).

cnf(c_0_4269_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4269]) ).

cnf(c_0_4269_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4269]) ).

cnf(c_0_4270_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4270]) ).

cnf(c_0_4270_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4270]) ).

cnf(c_0_4271_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4271]) ).

cnf(c_0_4271_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4271]) ).

cnf(c_0_4272_0,axiom,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4272]) ).

cnf(c_0_4272_1,axiom,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4272]) ).

cnf(c_0_4273_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4273]) ).

cnf(c_0_4273_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4273]) ).

cnf(c_0_4274_0,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4274]) ).

cnf(c_0_4274_1,axiom,
    ( ~ c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4274]) ).

cnf(c_0_4275_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Divides_Odiv__class_Omod(X2,X1,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4275]) ).

cnf(c_0_4275_1,axiom,
    ( c_Divides_Odiv__class_Omod(X2,X1,X3) != c_HOL_Ozero__class_Ozero(X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4275]) ).

cnf(c_0_4275_2,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Omod(X2,X1,X3) != c_HOL_Ozero__class_Ozero(X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4275]) ).

cnf(c_0_4276_0,axiom,
    ( c_Divides_Odiv__class_Omod(X2,X1,X3) = c_HOL_Ozero__class_Ozero(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4276]) ).

cnf(c_0_4276_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Divides_Odiv__class_Omod(X2,X1,X3) = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4276]) ).

cnf(c_0_4276_2,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Divides_Odiv__class_Omod(X2,X1,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4276]) ).

cnf(c_0_4277_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4277]) ).

cnf(c_0_4277_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4277]) ).

cnf(c_0_4278_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4278]) ).

cnf(c_0_4278_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4278]) ).

cnf(c_0_4279_0,axiom,
    ( c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4279]) ).

cnf(c_0_4279_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4279]) ).

cnf(c_0_4280_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4280]) ).

cnf(c_0_4280_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4280]) ).

cnf(c_0_4281_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4281]) ).

cnf(c_0_4281_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4281]) ).

cnf(c_0_4282_0,axiom,
    ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4282]) ).

cnf(c_0_4282_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4282]) ).

cnf(c_0_4283_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4283]) ).

cnf(c_0_4283_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4283]) ).

cnf(c_0_4284_0,axiom,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4284]) ).

cnf(c_0_4284_1,axiom,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4284]) ).

cnf(c_0_4285_0,axiom,
    ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4285]) ).

cnf(c_0_4285_1,axiom,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4285]) ).

cnf(c_0_4286_0,axiom,
    ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4286]) ).

cnf(c_0_4286_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4286]) ).

cnf(c_0_4287_0,axiom,
    ( c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4287]) ).

cnf(c_0_4287_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4287]) ).

cnf(c_0_4288_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4288]) ).

cnf(c_0_4288_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4288]) ).

cnf(c_0_4288_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4288]) ).

cnf(c_0_4288_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4288]) ).

cnf(c_0_4289_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4289]) ).

cnf(c_0_4289_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4289]) ).

cnf(c_0_4289_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4289]) ).

cnf(c_0_4289_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4289]) ).

cnf(c_0_4290_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4290]) ).

cnf(c_0_4290_1,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4290]) ).

cnf(c_0_4290_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4290]) ).

cnf(c_0_4290_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4290]) ).

cnf(c_0_4291_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4291]) ).

cnf(c_0_4291_1,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4291]) ).

cnf(c_0_4291_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4291]) ).

cnf(c_0_4291_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4291]) ).

cnf(c_0_4292_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4292]) ).

cnf(c_0_4292_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4292]) ).

cnf(c_0_4292_2,axiom,
    ( ~ c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4292]) ).

cnf(c_0_4292_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4292]) ).

cnf(c_0_4293_0,axiom,
    ( X2 = X1
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4293]) ).

cnf(c_0_4293_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4293]) ).

cnf(c_0_4293_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X2 = X1
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4293]) ).

cnf(c_0_4293_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4293]) ).

cnf(c_0_4294_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4294]) ).

cnf(c_0_4294_1,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4294]) ).

cnf(c_0_4294_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4294]) ).

cnf(c_0_4294_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4294]) ).

cnf(c_0_4295_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4295]) ).

cnf(c_0_4295_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4295]) ).

cnf(c_0_4295_2,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4295]) ).

cnf(c_0_4295_3,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4295]) ).

cnf(c_0_4296_0,axiom,
    ( c_lessequals(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4296]) ).

cnf(c_0_4296_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4296]) ).

cnf(c_0_4297_0,axiom,
    ( c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4297]) ).

cnf(c_0_4297_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4297]) ).

cnf(c_0_4298_0,axiom,
    ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4298]) ).

cnf(c_0_4298_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4298]) ).

cnf(c_0_4299_0,axiom,
    ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4299]) ).

cnf(c_0_4299_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4299]) ).

cnf(c_0_4300_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Odivide(X1,X2,X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4300]) ).

cnf(c_0_4300_1,axiom,
    ( ~ class_Int_Onumber__ring(X3)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Odivide(X1,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4300]) ).

cnf(c_0_4300_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Int_Onumber__ring(X3)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Odivide(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4300]) ).

cnf(c_0_4301_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4301]) ).

cnf(c_0_4301_1,axiom,
    ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4301]) ).

cnf(c_0_4301_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4301]) ).

cnf(c_0_4302_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4302]) ).

cnf(c_0_4302_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4302]) ).

cnf(c_0_4302_2,axiom,
    ( ~ class_Orderings_Oorder(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4302]) ).

cnf(c_0_4303_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4303]) ).

cnf(c_0_4303_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4303]) ).

cnf(c_0_4303_2,axiom,
    ( ~ class_Orderings_Opreorder(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4303]) ).

cnf(c_0_4304_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4304]) ).

cnf(c_0_4304_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4304]) ).

cnf(c_0_4305_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4305]) ).

cnf(c_0_4305_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4305]) ).

cnf(c_0_4306_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4306]) ).

cnf(c_0_4306_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4306]) ).

cnf(c_0_4307_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_Int_Onumber__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4307]) ).

cnf(c_0_4307_1,axiom,
    ( ~ class_Int_Onumber__ring(X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4307]) ).

cnf(c_0_4308_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4308]) ).

cnf(c_0_4308_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4308]) ).

cnf(c_0_4309_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4309]) ).

cnf(c_0_4309_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4309]) ).

cnf(c_0_4310_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X3),X2,X3) = c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4310]) ).

cnf(c_0_4310_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X3)
    | c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X3),X2,X3) = c_RealVector_OscaleR__class_OscaleR(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4310]) ).

cnf(c_0_4311_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4311]) ).

cnf(c_0_4311_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Oplus__class_Oplus(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4311]) ).

cnf(c_0_4312_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Odivide(X1,X2,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4312]) ).

cnf(c_0_4312_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X3),X3) = c_HOL_Oinverse__class_Odivide(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4312]) ).

cnf(c_0_4313_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4313]) ).

cnf(c_0_4313_1,axiom,
    ( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4313]) ).

cnf(c_0_4313_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4313]) ).

cnf(c_0_4314_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4314]) ).

cnf(c_0_4314_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4314]) ).

cnf(c_0_4314_2,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4314]) ).

cnf(c_0_4315_0,axiom,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4315]) ).

cnf(c_0_4315_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4315]) ).

cnf(c_0_4315_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4315]) ).

cnf(c_0_4315_3,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4315]) ).

cnf(c_0_4316_0,axiom,
    ( c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4316]) ).

cnf(c_0_4316_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4316]) ).

cnf(c_0_4316_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4316]) ).

cnf(c_0_4317_0,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4317]) ).

cnf(c_0_4317_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4317]) ).

cnf(c_0_4318_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4318]) ).

cnf(c_0_4318_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4318]) ).

cnf(c_0_4319_0,axiom,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4319]) ).

cnf(c_0_4319_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4319]) ).

cnf(c_0_4319_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4319]) ).

cnf(c_0_4320_0,axiom,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oabs__if(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4320]) ).

cnf(c_0_4320_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ class_Ring__and__Field_Oabs__if(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4320]) ).

cnf(c_0_4320_2,axiom,
    ( ~ class_Ring__and__Field_Oabs__if(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4320]) ).

cnf(c_0_4321_0,axiom,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4321]) ).

cnf(c_0_4321_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4321]) ).

cnf(c_0_4321_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4321]) ).

cnf(c_0_4322_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4322]) ).

cnf(c_0_4322_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X2)
    | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_RealVector_OscaleR__class_OscaleR(X3,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4322]) ).

cnf(c_0_4323_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Osgn__if(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4323]) ).

cnf(c_0_4323_1,axiom,
    ( c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Osgn__if(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4323]) ).

cnf(c_0_4323_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Osgn__if(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4323]) ).

cnf(c_0_4323_3,axiom,
    ( ~ class_Ring__and__Field_Osgn__if(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4323]) ).

cnf(c_0_4324_0,axiom,
    ( X1 = X2
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4324]) ).

cnf(c_0_4324_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4324]) ).

cnf(c_0_4325_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4325]) ).

cnf(c_0_4325_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X2)
    | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4325]) ).

cnf(c_0_4326_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4326]) ).

cnf(c_0_4326_1,axiom,
    ( c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4326]) ).

cnf(c_0_4326_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4326]) ).

cnf(c_0_4327_0,axiom,
    ( c_HOL_Osgn__class_Osgn(X2,X1) = c_HOL_Oone__class_Oone(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4327]) ).

cnf(c_0_4327_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Osgn__class_Osgn(X2,X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4327]) ).

cnf(c_0_4327_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Osgn__class_Osgn(X2,X1) = c_HOL_Oone__class_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4327]) ).

cnf(c_0_4328_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4328]) ).

cnf(c_0_4328_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4328]) ).

cnf(c_0_4328_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4328]) ).

cnf(c_0_4328_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4328]) ).

cnf(c_0_4329_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4329]) ).

cnf(c_0_4329_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4329]) ).

cnf(c_0_4329_2,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4329]) ).

cnf(c_0_4329_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4329]) ).

cnf(c_0_4330_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X2 = X1
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4330]) ).

cnf(c_0_4330_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X2 = X1
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4330]) ).

cnf(c_0_4330_2,axiom,
    ( X2 = X1
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4330]) ).

cnf(c_0_4330_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | X2 = X1
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4330]) ).

cnf(c_0_4331_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4331]) ).

cnf(c_0_4331_1,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4331]) ).

cnf(c_0_4331_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4331]) ).

cnf(c_0_4331_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4331]) ).

cnf(c_0_4332_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4332]) ).

cnf(c_0_4332_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4332]) ).

cnf(c_0_4332_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4332]) ).

cnf(c_0_4332_3,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4332]) ).

cnf(c_0_4333_0,axiom,
    ( c_HOL_Oabs__class_Oabs(X2,X1) = X2
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4333]) ).

cnf(c_0_4333_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oabs__class_Oabs(X2,X1) = X2
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4333]) ).

cnf(c_0_4333_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oabs__class_Oabs(X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4333]) ).

cnf(c_0_4334_0,axiom,
    ( c_HOL_Oabs__class_Oabs(X2,X1) = X2
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4334]) ).

cnf(c_0_4334_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oabs__class_Oabs(X2,X1) = X2
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4334]) ).

cnf(c_0_4334_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oabs__class_Oabs(X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4334]) ).

cnf(c_0_4335_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4335]) ).

cnf(c_0_4335_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4335]) ).

cnf(c_0_4335_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4335]) ).

cnf(c_0_4336_0,axiom,
    ( c_lessequals(X1,X1,X2)
    | c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4336]) ).

cnf(c_0_4336_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X1,X2)
    | c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4336]) ).

cnf(c_0_4336_2,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | c_HOL_Oord__class_Oless(X1,X1,X2)
    | c_lessequals(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4336]) ).

cnf(c_0_4337_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4337]) ).

cnf(c_0_4337_1,axiom,
    ( c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4337]) ).

cnf(c_0_4337_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X2,X1,X3)
    | c_HOL_Oord__class_Oless(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4337]) ).

cnf(c_0_4338_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4338]) ).

cnf(c_0_4338_1,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4338]) ).

cnf(c_0_4338_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4338]) ).

cnf(c_0_4339_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4339]) ).

cnf(c_0_4339_1,axiom,
    ( c_lessequals(X2,X1,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4339]) ).

cnf(c_0_4339_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X2,X1,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4339]) ).

cnf(c_0_4340_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4340]) ).

cnf(c_0_4340_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4340]) ).

cnf(c_0_4341_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4341]) ).

cnf(c_0_4341_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Otimes__class_Otimes(X1,X2,X3) = c_HOL_Otimes__class_Otimes(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4341]) ).

cnf(c_0_4342_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4342]) ).

cnf(c_0_4342_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4342]) ).

cnf(c_0_4343_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4343]) ).

cnf(c_0_4343_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4343]) ).

cnf(c_0_4344_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3)
    | ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4344]) ).

cnf(c_0_4344_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
    | c_HOL_Oplus__class_Oplus(X1,X2,X3) = c_HOL_Oplus__class_Oplus(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4344]) ).

cnf(c_0_4345_0,axiom,
    ( c_HOL_Oinverse__class_Oinverse(X1,X2) = X3
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4345]) ).

cnf(c_0_4345_1,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Oone__class_Oone(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) = X3
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4345]) ).

cnf(c_0_4345_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Oone__class_Oone(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4345]) ).

cnf(c_0_4346_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) = X1
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4346]) ).

cnf(c_0_4346_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4346]) ).

cnf(c_0_4347_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(X1,X2) = X3
    | c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4347]) ).

cnf(c_0_4347_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(X1,X2) = X3
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4347]) ).

cnf(c_0_4347_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(X1,X2) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_4347]) ).

cnf(c_0_4348_0,axiom,
    ( X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | c_HOL_Oplus__class_Oplus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4348]) ).

cnf(c_0_4348_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4348]) ).

cnf(c_0_4348_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | c_HOL_Oplus__class_Oplus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = c_HOL_Ouminus__class_Ouminus(X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4348]) ).

cnf(c_0_4349_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2),X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
    | ~ class_Int_Onumber__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4349]) ).

cnf(c_0_4349_1,axiom,
    ( ~ class_Int_Onumber__ring(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2),X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4349]) ).

cnf(c_0_4350_0,axiom,
    ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4350]) ).

cnf(c_0_4350_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4350]) ).

cnf(c_0_4351_0,axiom,
    ( c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4351]) ).

cnf(c_0_4351_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4351]) ).

cnf(c_0_4352_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4352]) ).

cnf(c_0_4352_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4352]) ).

cnf(c_0_4353_0,axiom,
    ( ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4353]) ).

cnf(c_0_4353_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4353]) ).

cnf(c_0_4354_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4354]) ).

cnf(c_0_4354_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4354]) ).

cnf(c_0_4354_2,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,X3,X2) != 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_4354]) ).

cnf(c_0_4354_3,axiom,
    ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X2)
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != 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_4354]) ).

cnf(c_0_4355_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4355]) ).

cnf(c_0_4355_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4355]) ).

cnf(c_0_4355_2,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,X3,X2) != 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_4355]) ).

cnf(c_0_4355_3,axiom,
    ( ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | c_HOL_Otimes__class_Otimes(X1,X3,X2) != 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_4355]) ).

cnf(c_0_4356_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4356]) ).

cnf(c_0_4356_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4356]) ).

cnf(c_0_4356_2,axiom,
    ( c_HOL_Otimes__class_Otimes(X3,X1,X2) != 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_4356]) ).

cnf(c_0_4356_3,axiom,
    ( ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | c_HOL_Otimes__class_Otimes(X3,X1,X2) != 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_4356]) ).

cnf(c_0_4357_0,axiom,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4357]) ).

cnf(c_0_4357_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2
    | ~ class_Int_Onumber__ring(X3)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4357]) ).

cnf(c_0_4357_2,axiom,
    ( ~ class_Int_Onumber__ring(X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4357]) ).

cnf(c_0_4357_3,axiom,
    ( ~ class_Ring__and__Field_Oidom(X3)
    | ~ class_Int_Onumber__ring(X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4357]) ).

cnf(c_0_4358_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_RealVector_OscaleR__class_OscaleR(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4358]) ).

cnf(c_0_4358_1,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X3)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_RealVector_OscaleR__class_OscaleR(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4358]) ).

cnf(c_0_4358_2,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,X2,X3) != 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_4358]) ).

cnf(c_0_4358_3,axiom,
    ( ~ class_RealVector_Oreal__vector(X3)
    | c_RealVector_OscaleR__class_OscaleR(X1,X2,X3) != 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_4358]) ).

cnf(c_0_4359_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4359]) ).

cnf(c_0_4359_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4359]) ).

cnf(c_0_4359_2,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | X2 = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4359]) ).

cnf(c_0_4360_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Osgn__if(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4360]) ).

cnf(c_0_4360_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Ring__and__Field_Osgn__if(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4360]) ).

cnf(c_0_4360_2,axiom,
    ( c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Osgn__if(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4360]) ).

cnf(c_0_4360_3,axiom,
    ( ~ class_Ring__and__Field_Osgn__if(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4360]) ).

cnf(c_0_4361_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(X3,X1,X2) != X3
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4361]) ).

cnf(c_0_4361_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X3,X1,X2) != 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_4361]) ).

cnf(c_0_4361_2,axiom,
    ( ~ class_Int_Onumber__ring(X2)
    | c_HOL_Oplus__class_Oplus(X3,X1,X2) != X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4361]) ).

cnf(c_0_4361_3,axiom,
    ( ~ class_Ring__and__Field_Oidom(X2)
    | ~ class_Int_Onumber__ring(X2)
    | c_HOL_Oplus__class_Oplus(X3,X1,X2) != X3
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4361]) ).

cnf(c_0_4362_0,axiom,
    ( X1 = X2
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | c_HOL_Oinverse__class_Odivide(X1,X2,X3) != c_HOL_Oone__class_Oone(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4362]) ).

cnf(c_0_4362_1,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2
    | c_HOL_Oinverse__class_Odivide(X1,X2,X3) != c_HOL_Oone__class_Oone(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4362]) ).

cnf(c_0_4362_2,axiom,
    ( c_HOL_Oinverse__class_Odivide(X1,X2,X3) != c_HOL_Oone__class_Oone(X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4362]) ).

cnf(c_0_4362_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_HOL_Oinverse__class_Odivide(X1,X2,X3) != c_HOL_Oone__class_Oone(X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4362]) ).

cnf(c_0_4363_0,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4363]) ).

cnf(c_0_4363_1,axiom,
    ( c_lessequals(X2,X1,tc_RealDef_Oreal)
    | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4363]) ).

cnf(c_0_4364_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_HOL_Oabs__class_Oabs(X1,X3) != c_HOL_Oabs__class_Oabs(X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4364]) ).

cnf(c_0_4364_1,axiom,
    ( c_HOL_Oabs__class_Oabs(X1,X3) != c_HOL_Oabs__class_Oabs(X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4364]) ).

cnf(c_0_4364_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | c_HOL_Oabs__class_Oabs(X1,X3) != c_HOL_Oabs__class_Oabs(X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4364]) ).

cnf(c_0_4365_0,axiom,
    ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4365]) ).

cnf(c_0_4365_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4365]) ).

cnf(c_0_4366_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oplus__class_Oplus(X1,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4366]) ).

cnf(c_0_4366_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4366]) ).

cnf(c_0_4366_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | c_HOL_Oplus__class_Oplus(X1,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4366]) ).

cnf(c_0_4367_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4367]) ).

cnf(c_0_4367_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4367]) ).

cnf(c_0_4367_2,axiom,
    ( c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4367]) ).

cnf(c_0_4368_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4368]) ).

cnf(c_0_4368_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4368]) ).

cnf(c_0_4369_0,axiom,
    ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4369]) ).

cnf(c_0_4369_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4369]) ).

cnf(c_0_4370_0,axiom,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4370]) ).

cnf(c_0_4370_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2
    | ~ class_OrderedGroup_Oab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4370]) ).

cnf(c_0_4370_2,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4370]) ).

cnf(c_0_4371_0,axiom,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4371]) ).

cnf(c_0_4371_1,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4371]) ).

cnf(c_0_4371_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4371]) ).

cnf(c_0_4372_0,axiom,
    ( X1 = c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal)
    | c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4372]) ).

cnf(c_0_4372_1,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4372]) ).

cnf(c_0_4373_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4373]) ).

cnf(c_0_4373_1,axiom,
    ( c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4373]) ).

cnf(c_0_4374_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4374]) ).

cnf(c_0_4374_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4374]) ).

cnf(c_0_4374_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4374]) ).

cnf(c_0_4375_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4375]) ).

cnf(c_0_4375_1,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4375]) ).

cnf(c_0_4375_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4375]) ).

cnf(c_0_4376_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4376]) ).

cnf(c_0_4376_1,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4376]) ).

cnf(c_0_4376_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X2),X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4376]) ).

cnf(c_0_4377_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4377]) ).

cnf(c_0_4377_1,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4377]) ).

cnf(c_0_4377_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4377]) ).

cnf(c_0_4378_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Osgn__class_Osgn(X2,X1) != c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4378]) ).

cnf(c_0_4378_1,axiom,
    ( c_HOL_Osgn__class_Osgn(X2,X1) != c_HOL_Oone__class_Oone(X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4378]) ).

cnf(c_0_4378_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_HOL_Osgn__class_Osgn(X2,X1) != c_HOL_Oone__class_Oone(X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4378]) ).

cnf(c_0_4379_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4379]) ).

cnf(c_0_4379_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4379]) ).

cnf(c_0_4379_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4379]) ).

cnf(c_0_4380_0,axiom,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4380]) ).

cnf(c_0_4380_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4380]) ).

cnf(c_0_4380_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4380]) ).

cnf(c_0_4381_0,axiom,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4381]) ).

cnf(c_0_4381_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4381]) ).

cnf(c_0_4381_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4381]) ).

cnf(c_0_4382_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4382]) ).

cnf(c_0_4382_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4382]) ).

cnf(c_0_4383_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4383]) ).

cnf(c_0_4383_1,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4383]) ).

cnf(c_0_4384_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4384]) ).

cnf(c_0_4384_1,axiom,
    ( ~ class_Orderings_Oorder(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4384]) ).

cnf(c_0_4385_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4385]) ).

cnf(c_0_4385_1,axiom,
    ( ~ class_Orderings_Opreorder(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4385]) ).

cnf(c_0_4386_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4386]) ).

cnf(c_0_4386_1,axiom,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__field(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4386]) ).

cnf(c_0_4386_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__field(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4386]) ).

cnf(c_0_4387_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4387]) ).

cnf(c_0_4387_1,axiom,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4387]) ).

cnf(c_0_4387_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4387]) ).

cnf(c_0_4388_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4388]) ).

cnf(c_0_4388_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4388]) ).

cnf(c_0_4389_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4389]) ).

cnf(c_0_4389_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4389]) ).

cnf(c_0_4390_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4390]) ).

cnf(c_0_4390_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4390]) ).

cnf(c_0_4391_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4391]) ).

cnf(c_0_4391_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4391]) ).

cnf(c_0_4392_0,axiom,
    ( c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X2),X2)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4392]) ).

cnf(c_0_4392_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X2)
    | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X2),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4392]) ).

cnf(c_0_4392_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4392]) ).

cnf(c_0_4393_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = X1
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4393]) ).

cnf(c_0_4393_1,axiom,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = X1
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4393]) ).

cnf(c_0_4393_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = X1
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4393]) ).

cnf(c_0_4393_3,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = X1
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4393]) ).

cnf(c_0_4394_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4394]) ).

cnf(c_0_4394_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4394]) ).

cnf(c_0_4395_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2) = c_HOL_Oinverse__class_Oinverse(X1,X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4395]) ).

cnf(c_0_4395_1,axiom,
    ( ~ class_Int_Onumber__ring(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2) = c_HOL_Oinverse__class_Oinverse(X1,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4395]) ).

cnf(c_0_4395_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Int_Onumber__ring(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2) = c_HOL_Oinverse__class_Oinverse(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4395]) ).

cnf(c_0_4396_0,axiom,
    ( c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4396]) ).

cnf(c_0_4396_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4396]) ).

cnf(c_0_4397_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2) = c_HOL_Oinverse__class_Oinverse(X1,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4397]) ).

cnf(c_0_4397_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2) = c_HOL_Oinverse__class_Oinverse(X1,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4397]) ).

cnf(c_0_4397_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2) = c_HOL_Oinverse__class_Oinverse(X1,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4397]) ).

cnf(c_0_4398_0,axiom,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X1,X2),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4398]) ).

cnf(c_0_4398_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4398]) ).

cnf(c_0_4399_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4399]) ).

cnf(c_0_4399_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4399]) ).

cnf(c_0_4399_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4399]) ).

cnf(c_0_4400_0,axiom,
    ( c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X2),X2)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4400]) ).

cnf(c_0_4400_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X2)
    | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4400]) ).

cnf(c_0_4401_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = X1
    | ~ class_Ring__and__Field_Oabs__if(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4401]) ).

cnf(c_0_4401_1,axiom,
    ( c_HOL_Oabs__class_Oabs(X1,X2) = X1
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oabs__if(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4401]) ).

cnf(c_0_4401_2,axiom,
    ( ~ class_Ring__and__Field_Oabs__if(X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) = X1
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4401]) ).

cnf(c_0_4402_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oone__class_Oone(X2),X2) = c_RealVector_Oof__real(X1,X2)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4402]) ).

cnf(c_0_4402_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X2)
    | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oone__class_Oone(X2),X2) = c_RealVector_Oof__real(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4402]) ).

cnf(c_0_4403_0,axiom,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(X2,X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4403]) ).

cnf(c_0_4403_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4403]) ).

cnf(c_0_4404_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2) = c_HOL_Oinverse__class_Oinverse(X1,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4404]) ).

cnf(c_0_4404_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2) = c_HOL_Oinverse__class_Oinverse(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4404]) ).

cnf(c_0_4405_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4405]) ).

cnf(c_0_4405_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4405]) ).

cnf(c_0_4405_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4405]) ).

cnf(c_0_4406_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4406]) ).

cnf(c_0_4406_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4406]) ).

cnf(c_0_4406_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4406]) ).

cnf(c_0_4407_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4407]) ).

cnf(c_0_4407_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4407]) ).

cnf(c_0_4407_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4407]) ).

cnf(c_0_4408_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(v_r,c_HOL_Oone__class_Oone(X1),X1) = c_RealVector_Oof__real(v_r,X1)
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4408]) ).

cnf(c_0_4408_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X1)
    | c_RealVector_OscaleR__class_OscaleR(v_r,c_HOL_Oone__class_Oone(X1),X1) = c_RealVector_Oof__real(v_r,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4408]) ).

cnf(c_0_4409_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4409]) ).

cnf(c_0_4409_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4409]) ).

cnf(c_0_4409_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4409]) ).

cnf(c_0_4409_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4409]) ).

cnf(c_0_4410_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4410]) ).

cnf(c_0_4410_1,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4410]) ).

cnf(c_0_4411_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4411]) ).

cnf(c_0_4411_1,axiom,
    ( ~ class_Int_Onumber__ring(X2)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4411]) ).

cnf(c_0_4411_2,axiom,
    ( ~ class_Ring__and__Field_Oidom(X2)
    | ~ class_Int_Onumber__ring(X2)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4411]) ).

cnf(c_0_4412_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4412]) ).

cnf(c_0_4412_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4412]) ).

cnf(c_0_4413_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4413]) ).

cnf(c_0_4413_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__semidom(X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4413]) ).

cnf(c_0_4414_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Int_Onumber__ring(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4414]) ).

cnf(c_0_4414_1,axiom,
    ( ~ class_Int_Onumber__ring(X2)
    | c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4414]) ).

cnf(c_0_4414_2,axiom,
    ( ~ class_Ring__and__Field_Oidom(X2)
    | ~ class_Int_Onumber__ring(X2)
    | c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4414]) ).

cnf(c_0_4415_0,axiom,
    ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4415]) ).

cnf(c_0_4415_1,axiom,
    ( ~ class_Divides_Osemiring__div(X1)
    | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4415]) ).

cnf(c_0_4416_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4416]) ).

cnf(c_0_4416_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4416]) ).

cnf(c_0_4417_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4417]) ).

cnf(c_0_4417_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X2)
    | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4417]) ).

cnf(c_0_4418_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4418]) ).

cnf(c_0_4418_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4418]) ).

cnf(c_0_4419_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4419]) ).

cnf(c_0_4419_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4419]) ).

cnf(c_0_4420_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4420]) ).

cnf(c_0_4420_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4420]) ).

cnf(c_0_4421_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4421]) ).

cnf(c_0_4421_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4421]) ).

cnf(c_0_4422_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4422]) ).

cnf(c_0_4422_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4422]) ).

cnf(c_0_4423_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4423]) ).

cnf(c_0_4423_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4423]) ).

cnf(c_0_4424_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4424]) ).

cnf(c_0_4424_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4424]) ).

cnf(c_0_4425_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Omult__zero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4425]) ).

cnf(c_0_4425_1,axiom,
    ( ~ class_Ring__and__Field_Omult__zero(X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4425]) ).

cnf(c_0_4426_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4426]) ).

cnf(c_0_4426_1,axiom,
    ( ~ class_Ring__and__Field_Omult__zero(X2)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4426]) ).

cnf(c_0_4427_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4427]) ).

cnf(c_0_4427_1,axiom,
    ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4427]) ).

cnf(c_0_4428_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4428]) ).

cnf(c_0_4428_1,axiom,
    ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X2)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4428]) ).

cnf(c_0_4429_0,axiom,
    ( c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4429]) ).

cnf(c_0_4429_1,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X2),X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4429]) ).

cnf(c_0_4430_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4430]) ).

cnf(c_0_4430_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4430]) ).

cnf(c_0_4431_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__field(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4431]) ).

cnf(c_0_4431_1,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X1)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4431]) ).

cnf(c_0_4432_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4432]) ).

cnf(c_0_4432_1,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4432]) ).

cnf(c_0_4432_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4432]) ).

cnf(c_0_4433_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4433]) ).

cnf(c_0_4433_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4433]) ).

cnf(c_0_4433_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Oinverse__class_Odivide(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4433]) ).

cnf(c_0_4434_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4434]) ).

cnf(c_0_4434_1,axiom,
    ( c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = X1
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4434]) ).

cnf(c_0_4435_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4435]) ).

cnf(c_0_4435_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4435]) ).

cnf(c_0_4436_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4436]) ).

cnf(c_0_4436_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4436]) ).

cnf(c_0_4437_0,axiom,
    ( c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4437]) ).

cnf(c_0_4437_1,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4437]) ).

cnf(c_0_4438_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
    | ~ class_OrderedGroup_Omonoid__mult(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4438]) ).

cnf(c_0_4438_1,axiom,
    ( ~ class_OrderedGroup_Omonoid__mult(X2)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4438]) ).

cnf(c_0_4439_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4439]) ).

cnf(c_0_4439_1,axiom,
    ( ~ class_OrderedGroup_Omonoid__mult(X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4439]) ).

cnf(c_0_4440_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4440]) ).

cnf(c_0_4440_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__mult(X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4440]) ).

cnf(c_0_4441_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4441]) ).

cnf(c_0_4441_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4441]) ).

cnf(c_0_4442_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4442]) ).

cnf(c_0_4442_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
    | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4442]) ).

cnf(c_0_4443_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4443]) ).

cnf(c_0_4443_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4443]) ).

cnf(c_0_4444_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4444]) ).

cnf(c_0_4444_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4444]) ).

cnf(c_0_4445_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4445]) ).

cnf(c_0_4445_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X2)
    | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4445]) ).

cnf(c_0_4446_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Omonoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4446]) ).

cnf(c_0_4446_1,axiom,
    ( ~ class_OrderedGroup_Omonoid__add(X2)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4446]) ).

cnf(c_0_4447_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4447]) ).

cnf(c_0_4447_1,axiom,
    ( ~ class_OrderedGroup_Omonoid__add(X1)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4447]) ).

cnf(c_0_4448_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4448]) ).

cnf(c_0_4448_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X2)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4448]) ).

cnf(c_0_4449_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4449]) ).

cnf(c_0_4449_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4449]) ).

cnf(c_0_4450_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4450]) ).

cnf(c_0_4450_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4450]) ).

cnf(c_0_4451_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4451]) ).

cnf(c_0_4451_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
    | c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4451]) ).

cnf(c_0_4452_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4452]) ).

cnf(c_0_4452_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4452]) ).

cnf(c_0_4453_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),X2,X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4453]) ).

cnf(c_0_4453_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4453]) ).

cnf(c_0_4454_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4454]) ).

cnf(c_0_4454_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4454]) ).

cnf(c_0_4455_0,axiom,
    ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,X2) = X1
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4455]) ).

cnf(c_0_4455_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X2)
    | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4455]) ).

cnf(c_0_4456_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4456]) ).

cnf(c_0_4456_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X2)
    | c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4456]) ).

cnf(c_0_4457_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4457]) ).

cnf(c_0_4457_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4457]) ).

cnf(c_0_4458_0,axiom,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4458]) ).

cnf(c_0_4458_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4458]) ).

cnf(c_0_4459_0,axiom,
    ( c_Divides_Odiv__class_Omod(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4459]) ).

cnf(c_0_4459_1,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Omod(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4459]) ).

cnf(c_0_4460_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = X3
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Oinverse__class_Oinverse(X3,X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4460]) ).

cnf(c_0_4460_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = X3
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Oinverse__class_Oinverse(X3,X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4460]) ).

cnf(c_0_4460_2,axiom,
    ( X1 = X3
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Oinverse__class_Oinverse(X3,X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4460]) ).

cnf(c_0_4460_3,axiom,
    ( c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Oinverse__class_Oinverse(X3,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_4460]) ).

cnf(c_0_4460_4,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Oinverse__class_Oinverse(X3,X2)
    | X1 = X3
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4460]) ).

cnf(c_0_4461_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,X1,X2) = X1
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4461]) ).

cnf(c_0_4461_1,axiom,
    ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2)
    | c_HOL_Otimes__class_Otimes(X1,X1,X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4461]) ).

cnf(c_0_4462_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4462]) ).

cnf(c_0_4462_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4462]) ).

cnf(c_0_4463_0,axiom,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4463]) ).

cnf(c_0_4463_1,axiom,
    ( ~ class_Orderings_Opreorder(X2)
    | c_lessequals(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4463]) ).

cnf(c_0_4464_0,axiom,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4464]) ).

cnf(c_0_4464_1,axiom,
    ( ~ class_Orderings_Oorder(X2)
    | c_lessequals(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4464]) ).

cnf(c_0_4465_0,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1),X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4465]) ).

cnf(c_0_4465_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1),X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4465]) ).

cnf(c_0_4466_0,axiom,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X2),X2) = c_HOL_Osgn__class_Osgn(X1,X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4466]) ).

cnf(c_0_4466_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X2),X2) = c_HOL_Osgn__class_Osgn(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4466]) ).

cnf(c_0_4467_0,axiom,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4467]) ).

cnf(c_0_4467_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4467]) ).

cnf(c_0_4468_0,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_RealVector_Onorm__class_Onorm(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4468]) ).

cnf(c_0_4468_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_RealVector_Onorm__class_Onorm(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4468]) ).

cnf(c_0_4469_0,axiom,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4469]) ).

cnf(c_0_4469_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4469]) ).

cnf(c_0_4470_0,axiom,
    ( X1 = X2
    | c_HOL_Oinverse__class_Oinverse(X1,X3) != c_HOL_Oinverse__class_Oinverse(X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Odivision__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4470]) ).

cnf(c_0_4470_1,axiom,
    ( c_HOL_Oinverse__class_Oinverse(X1,X3) != c_HOL_Oinverse__class_Oinverse(X2,X3)
    | X1 = X2
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Odivision__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4470]) ).

cnf(c_0_4470_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Oinverse__class_Oinverse(X1,X3) != c_HOL_Oinverse__class_Oinverse(X2,X3)
    | X1 = X2
    | ~ class_Ring__and__Field_Odivision__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4470]) ).

cnf(c_0_4470_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Oinverse__class_Oinverse(X1,X3) != c_HOL_Oinverse__class_Oinverse(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4470]) ).

cnf(c_0_4471_0,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4471]) ).

cnf(c_0_4471_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra__1(X2)
    | c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X1,X2),X2) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4471]) ).

cnf(c_0_4472_0,axiom,
    ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4472]) ).

cnf(c_0_4472_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4472]) ).

cnf(c_0_4473_0,axiom,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = X1
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4473]) ).

cnf(c_0_4473_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = X1
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4473]) ).

cnf(c_0_4473_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4473]) ).

cnf(c_0_4474_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X1,X2),X2) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4474]) ).

cnf(c_0_4474_1,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X1,X2),X2) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4474]) ).

cnf(c_0_4474_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X1,X2),X2) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4474]) ).

cnf(c_0_4475_0,axiom,
    ( X1 = X2
    | c_RealVector_Oof__real(X1,X3) != c_RealVector_Oof__real(X2,X3)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4475]) ).

cnf(c_0_4475_1,axiom,
    ( c_RealVector_Oof__real(X1,X3) != c_RealVector_Oof__real(X2,X3)
    | X1 = X2
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4475]) ).

cnf(c_0_4475_2,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X3)
    | c_RealVector_Oof__real(X1,X3) != c_RealVector_Oof__real(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4475]) ).

cnf(c_0_4476_0,axiom,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4476]) ).

cnf(c_0_4476_1,axiom,
    ( c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | X1 = X2
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4476]) ).

cnf(c_0_4476_2,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X3)
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4476]) ).

cnf(c_0_4477_0,axiom,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4477]) ).

cnf(c_0_4477_1,axiom,
    ( c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | X1 = X2
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_4477]) ).

cnf(c_0_4477_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4477]) ).

cnf(c_0_4478_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = X1
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4478]) ).

cnf(c_0_4478_1,axiom,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = X1
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4478]) ).

cnf(c_0_4478_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = X1
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4478]) ).

cnf(c_0_4479_0,axiom,
    ( X1 = c_HOL_Oone__class_Oone(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4479]) ).

cnf(c_0_4479_1,axiom,
    ( c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4479]) ).

cnf(c_0_4479_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Oone__class_Oone(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4479]) ).

cnf(c_0_4479_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Oone__class_Oone(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4479]) ).

cnf(c_0_4480_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != 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_4480]) ).

cnf(c_0_4480_1,axiom,
    ( c_HOL_Oinverse__class_Oinverse(X1,X2) != 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_4480]) ).

cnf(c_0_4480_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != 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_4480]) ).

cnf(c_0_4480_3,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | ~ class_Ring__and__Field_Odivision__by__zero(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4480]) ).

cnf(c_0_4481_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4481]) ).

cnf(c_0_4481_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4481]) ).

cnf(c_0_4482_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4482]) ).

cnf(c_0_4482_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4482]) ).

cnf(c_0_4483_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4483]) ).

cnf(c_0_4483_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4483]) ).

cnf(c_0_4484_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4484]) ).

cnf(c_0_4484_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4484]) ).

cnf(c_0_4485_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4485]) ).

cnf(c_0_4485_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_4485]) ).

cnf(c_0_4486_0,axiom,
    ( X1 = X2
    | c_RealDef_Oreal(X1,tc_nat) != c_RealDef_Oreal(X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_4486]) ).

cnf(c_0_4486_1,axiom,
    ( c_RealDef_Oreal(X1,tc_nat) != c_RealDef_Oreal(X2,tc_nat)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4486]) ).

cnf(c_0_4487_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4487]) ).

cnf(c_0_4487_1,axiom,
    ( c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4487]) ).

cnf(c_0_4487_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4487]) ).

cnf(c_0_4488_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4488]) ).

cnf(c_0_4488_1,axiom,
    ( c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4488]) ).

cnf(c_0_4488_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_HOL_Osgn__class_Osgn(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4488]) ).

cnf(c_0_4489_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4489]) ).

cnf(c_0_4489_1,axiom,
    ( c_HOL_Oinverse__class_Oinverse(X1,X2) != 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_4489]) ).

cnf(c_0_4489_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | c_HOL_Oinverse__class_Oinverse(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4489]) ).

cnf(c_0_4490_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4490]) ).

cnf(c_0_4490_1,axiom,
    ( c_HOL_Oabs__class_Oabs(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4490]) ).

cnf(c_0_4490_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_HOL_Oabs__class_Oabs(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4490]) ).

cnf(c_0_4491_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4491]) ).

cnf(c_0_4491_1,axiom,
    ( c_HOL_Ouminus__class_Ouminus(X1,X2) != 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_4491]) ).

cnf(c_0_4491_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | c_HOL_Ouminus__class_Ouminus(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4491]) ).

cnf(c_0_4492_0,axiom,
    ( c_HOL_Ozero__class_Ozero(X1) = X2
    | c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4492]) ).

cnf(c_0_4492_1,axiom,
    ( c_HOL_Ouminus__class_Ouminus(X2,X1) != 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_4492]) ).

cnf(c_0_4492_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ozero__class_Ozero(X1)
    | c_HOL_Ozero__class_Ozero(X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4492]) ).

cnf(c_0_4493_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_RealVector_Oof__real(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4493]) ).

cnf(c_0_4493_1,axiom,
    ( c_RealVector_Oof__real(X1,X2) != 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_4493]) ).

cnf(c_0_4493_2,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X2)
    | c_RealVector_Oof__real(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4493]) ).

cnf(c_0_4494_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_RealVector_Onorm__class_Onorm(X1,X2) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4494]) ).

cnf(c_0_4494_1,axiom,
    ( c_RealVector_Onorm__class_Onorm(X1,X2) != 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_4494]) ).

cnf(c_0_4494_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_RealVector_Onorm__class_Onorm(X1,X2) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4494]) ).

cnf(c_0_4495_0,axiom,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),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_4495]) ).

cnf(c_0_4495_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4495]) ).

cnf(c_0_4495_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4495]) ).

cnf(c_0_4496_0,axiom,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4496]) ).

cnf(c_0_4496_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4496]) ).

cnf(c_0_4496_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4496]) ).

cnf(c_0_4497_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Ouminus__class_Ouminus(X1,X2) != X1
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4497]) ).

cnf(c_0_4497_1,axiom,
    ( c_HOL_Ouminus__class_Ouminus(X1,X2) != X1
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4497]) ).

cnf(c_0_4497_2,axiom,
    ( ~ class_OrderedGroup_Oordered__ab__group__add(X2)
    | c_HOL_Ouminus__class_Ouminus(X1,X2) != X1
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4497]) ).

cnf(c_0_4498_0,axiom,
    ( c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1) = 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_4498]) ).

cnf(c_0_4498_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X1)
    | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4498]) ).

cnf(c_0_4498_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1)
    | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4498]) ).

cnf(c_0_4499_0,axiom,
    ( c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X1),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Transcendental_Osin(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4499]) ).

cnf(c_0_4499_1,axiom,
    ( c_Transcendental_Osin(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X1),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4499]) ).

cnf(c_0_4500_0,axiom,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4500]) ).

cnf(c_0_4500_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4500]) ).

cnf(c_0_4501_0,axiom,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4501]) ).

cnf(c_0_4501_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4501]) ).

cnf(c_0_4502_0,axiom,
    ( c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4502]) ).

cnf(c_0_4502_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4502]) ).

cnf(c_0_4503_0,axiom,
    ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Odivision__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4503]) ).

cnf(c_0_4503_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X1)
    | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4503]) ).

cnf(c_0_4504_0,axiom,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_RealVector_Oreal__normed__algebra__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4504]) ).

cnf(c_0_4504_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra__1(X1)
    | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4504]) ).

cnf(c_0_4505_0,axiom,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4505]) ).

cnf(c_0_4505_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4505]) ).

cnf(c_0_4506_0,axiom,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Osgn__if(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4506]) ).

cnf(c_0_4506_1,axiom,
    ( ~ class_Ring__and__Field_Osgn__if(X1)
    | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4506]) ).

cnf(c_0_4507_0,axiom,
    ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4507]) ).

cnf(c_0_4507_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4507]) ).

cnf(c_0_4508_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4508]) ).

cnf(c_0_4508_1,axiom,
    ( ~ class_OrderedGroup_Oordered__ab__group__add(X1)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4508]) ).

cnf(c_0_4509_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4509]) ).

cnf(c_0_4509_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4509]) ).

cnf(c_0_4510_0,axiom,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4510]) ).

cnf(c_0_4510_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4510]) ).

cnf(c_0_4511_0,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4511]) ).

cnf(c_0_4511_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra__1(X1)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4511]) ).

cnf(c_0_4512_0,axiom,
    ( c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4512]) ).

cnf(c_0_4512_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4512]) ).

cnf(c_0_4513_0,axiom,
    ( c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4513]) ).

cnf(c_0_4513_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X1)
    | c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1) = c_HOL_Oone__class_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4513]) ).

cnf(c_0_4514_0,axiom,
    ( c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4514]) ).

cnf(c_0_4514_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X1)
    | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4514]) ).

cnf(c_0_4515_0,axiom,
    ( c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4515]) ).

cnf(c_0_4515_1,axiom,
    ( ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4515]) ).

cnf(c_0_4516_0,axiom,
    ( c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4516]) ).

cnf(c_0_4516_1,axiom,
    ( ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4516]) ).

cnf(c_0_4517_0,axiom,
    ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4517]) ).

cnf(c_0_4517_1,axiom,
    ( ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1)
    | class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4517]) ).

cnf(c_0_4518_0,axiom,
    ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4518]) ).

cnf(c_0_4518_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4518]) ).

cnf(c_0_4519_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4519]) ).

cnf(c_0_4519_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4519]) ).

cnf(c_0_4520_0,axiom,
    ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4520]) ).

cnf(c_0_4520_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4520]) ).

cnf(c_0_4521_0,axiom,
    ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4521]) ).

cnf(c_0_4521_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4521]) ).

cnf(c_0_4522_0,axiom,
    ( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4522]) ).

cnf(c_0_4522_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4522]) ).

cnf(c_0_4523_0,axiom,
    ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4523]) ).

cnf(c_0_4523_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4523]) ).

cnf(c_0_4524_0,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4524]) ).

cnf(c_0_4524_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4524]) ).

cnf(c_0_4525_0,axiom,
    ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4525]) ).

cnf(c_0_4525_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4525]) ).

cnf(c_0_4526_0,axiom,
    ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4526]) ).

cnf(c_0_4526_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4526]) ).

cnf(c_0_4527_0,axiom,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4527]) ).

cnf(c_0_4527_1,axiom,
    ( ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1)
    | class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4527]) ).

cnf(c_0_4528_0,axiom,
    ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4528]) ).

cnf(c_0_4528_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4528]) ).

cnf(c_0_4529_0,axiom,
    ( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4529]) ).

cnf(c_0_4529_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4529]) ).

cnf(c_0_4530_0,axiom,
    ( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4530]) ).

cnf(c_0_4530_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4530]) ).

cnf(c_0_4531_0,axiom,
    ( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4531]) ).

cnf(c_0_4531_1,axiom,
    ( ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1)
    | class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4531]) ).

cnf(c_0_4532_0,axiom,
    ( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4532]) ).

cnf(c_0_4532_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4532]) ).

cnf(c_0_4533_0,axiom,
    ( class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4533]) ).

cnf(c_0_4533_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4533]) ).

cnf(c_0_4534_0,axiom,
    ( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4534]) ).

cnf(c_0_4534_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4534]) ).

cnf(c_0_4535_0,axiom,
    ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4535]) ).

cnf(c_0_4535_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4535]) ).

cnf(c_0_4536_0,axiom,
    ( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4536]) ).

cnf(c_0_4536_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4536]) ).

cnf(c_0_4537_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4537]) ).

cnf(c_0_4537_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4537]) ).

cnf(c_0_4538_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4538]) ).

cnf(c_0_4538_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
    | class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4538]) ).

cnf(c_0_4539_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4539]) ).

cnf(c_0_4539_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
    | class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4539]) ).

cnf(c_0_4540_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4540]) ).

cnf(c_0_4540_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4540]) ).

cnf(c_0_4541_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4541]) ).

cnf(c_0_4541_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4541]) ).

cnf(c_0_4542_0,axiom,
    ( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4542]) ).

cnf(c_0_4542_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4542]) ).

cnf(c_0_4543_0,axiom,
    ( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4543]) ).

cnf(c_0_4543_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
    | class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4543]) ).

cnf(c_0_4544_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4544]) ).

cnf(c_0_4544_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4544]) ).

cnf(c_0_4545_0,axiom,
    ( class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4545]) ).

cnf(c_0_4545_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4545]) ).

cnf(c_0_4546_0,axiom,
    ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4546]) ).

cnf(c_0_4546_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4546]) ).

cnf(c_0_4547_0,axiom,
    ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4547]) ).

cnf(c_0_4547_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4547]) ).

cnf(c_0_4548_0,axiom,
    ( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4548]) ).

cnf(c_0_4548_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4548]) ).

cnf(c_0_4549_0,axiom,
    ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4549]) ).

cnf(c_0_4549_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4549]) ).

cnf(c_0_4550_0,axiom,
    ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4550]) ).

cnf(c_0_4550_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
    | class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4550]) ).

cnf(c_0_4551_0,axiom,
    ( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4551]) ).

cnf(c_0_4551_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4551]) ).

cnf(c_0_4552_0,axiom,
    ( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4552]) ).

cnf(c_0_4552_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4552]) ).

cnf(c_0_4553_0,axiom,
    ( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4553]) ).

cnf(c_0_4553_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4553]) ).

cnf(c_0_4554_0,axiom,
    ( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4554]) ).

cnf(c_0_4554_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
    | class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4554]) ).

cnf(c_0_4555_0,axiom,
    ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4555]) ).

cnf(c_0_4555_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4555]) ).

cnf(c_0_4556_0,axiom,
    ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4556]) ).

cnf(c_0_4556_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4556]) ).

cnf(c_0_4557_0,axiom,
    ( class_Ring__and__Field_Osgn__if(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4557]) ).

cnf(c_0_4557_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Osgn__if(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4557]) ).

cnf(c_0_4558_0,axiom,
    ( class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4558]) ).

cnf(c_0_4558_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4558]) ).

cnf(c_0_4559_0,axiom,
    ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4559]) ).

cnf(c_0_4559_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_Divides_Osemiring__div(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4559]) ).

cnf(c_0_4560_0,axiom,
    ( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4560]) ).

cnf(c_0_4560_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring(X1)
    | class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4560]) ).

cnf(c_0_4561_0,axiom,
    ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4561]) ).

cnf(c_0_4561_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4561]) ).

cnf(c_0_4562_0,axiom,
    ( class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4562]) ).

cnf(c_0_4562_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4562]) ).

cnf(c_0_4563_0,axiom,
    ( class_Orderings_Opreorder(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4563]) ).

cnf(c_0_4563_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Orderings_Opreorder(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4563]) ).

cnf(c_0_4564_0,axiom,
    ( class_Orderings_Olinorder(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4564]) ).

cnf(c_0_4564_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Orderings_Olinorder(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4564]) ).

cnf(c_0_4565_0,axiom,
    ( class_Divides_Oring__div(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4565]) ).

cnf(c_0_4565_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_Divides_Oring__div(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4565]) ).

cnf(c_0_4566_0,axiom,
    ( class_Orderings_Oorder(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4566]) ).

cnf(c_0_4566_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | class_Orderings_Oorder(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4566]) ).

cnf(c_0_4567_0,axiom,
    ( class_Int_Onumber__ring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_4567]) ).

cnf(c_0_4567_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_Int_Onumber__ring(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_4567]) ).

cnf(c_0_4568_0,axiom,
    ( c_Transcendental_Osin(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Transcendental_Ocos(X1) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4568]) ).

cnf(c_0_4568_1,axiom,
    ( c_Transcendental_Ocos(X1) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_Transcendental_Osin(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4568]) ).

cnf(c_0_4569_0,axiom,
    ( X1 = X2
    | c_NthRoot_Osqrt(X1) != c_NthRoot_Osqrt(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4569]) ).

cnf(c_0_4569_1,axiom,
    ( c_NthRoot_Osqrt(X1) != c_NthRoot_Osqrt(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4569]) ).

cnf(c_0_4570_0,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4570]) ).

cnf(c_0_4570_1,axiom,
    ( c_Suc(X1) != c_Suc(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4570]) ).

cnf(c_0_4571_0,axiom,
    ( X1 = X2
    | c_Suc(X1) != c_Suc(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4571]) ).

cnf(c_0_4571_1,axiom,
    ( c_Suc(X1) != c_Suc(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4571]) ).

cnf(c_0_4572_0,axiom,
    ( X1 = X2
    | c_Complex_Ocnj(X1) != c_Complex_Ocnj(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_4572]) ).

cnf(c_0_4572_1,axiom,
    ( c_Complex_Ocnj(X1) != c_Complex_Ocnj(X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_4572]) ).

cnf(c_0_4573_0,axiom,
    ( X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4573]) ).

cnf(c_0_4573_1,axiom,
    ( c_NthRoot_Osqrt(X1) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
    | X1 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4573]) ).

cnf(c_0_4574_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4574]) ).

cnf(c_0_4574_1,axiom,
    ( c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_4574]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_906,negated_conjecture,
    c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),
    file('<stdin>',cls_conjecture_0) ).

fof(c_0_1_907,negated_conjecture,
    c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),
    c_0_0 ).

fof(c_0_2_908,negated_conjecture,
    c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),
    c_0_1 ).

cnf(c_0_3_909,negated_conjecture,
    c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_910,negated_conjecture,
    c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),
    c_0_3,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_2649,plain,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
    | X1 = c_HOL_Ozero__class_Ozero(X0)
    | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_ad5d8b.p',c_0_4490_1) ).

cnf(c_6342,plain,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
    | X1 = c_HOL_Ozero__class_Ozero(X0)
    | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
    inference(copy,[status(esa)],[c_2649]) ).

cnf(c_185491,plain,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
    | c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X0) = c_HOL_Ozero__class_Ozero(X0)
    | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X0),X0) != c_HOL_Ozero__class_Ozero(X0) ),
    inference(instantiation,[status(thm)],[c_6342]) ).

cnf(c_185517,plain,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal)
    | c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(instantiation,[status(thm)],[c_185491]) ).

cnf(c_2362,plain,
    ( ~ class_OrderedGroup_Oab__group__add(X0)
    | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
    | X1 = X2 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_ad5d8b.p',c_0_4370_0) ).

cnf(c_6055,plain,
    ( ~ class_OrderedGroup_Oab__group__add(X0)
    | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
    | X1 = X2 ),
    inference(copy,[status(esa)],[c_2362]) ).

cnf(c_183962,plain,
    ( ~ class_OrderedGroup_Oab__group__add(X0)
    | c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),X0) != c_HOL_Ozero__class_Ozero(X0)
    | c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal) ),
    inference(instantiation,[status(thm)],[c_6055]) ).

cnf(c_183963,plain,
    ( ~ class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal)
    | c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal) ),
    inference(instantiation,[status(thm)],[c_183962]) ).

cnf(c_2837,plain,
    c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/iprover_modulo_ad5d8b.p',c_0_894_0) ).

cnf(c_2879,plain,
    class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/iprover_modulo_ad5d8b.p',c_0_852_0) ).

cnf(c_2916,plain,
    class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/iprover_modulo_ad5d8b.p',c_0_815_0) ).

cnf(c_3008,negated_conjecture,
    c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/iprover_modulo_ad5d8b.p',c_0_4) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_185517,c_183963,c_2837,c_2879,c_2916,c_3008]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : ALG379-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.13  % Command  : iprover_modulo %s %d
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun  8 10:37:10 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Running in mono-core mode
% 0.43/0.62  % Orienting using strategy Equiv(ClausalAll)
% 0.43/0.62  % Orientation found
% 0.43/0.62  % 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_73d122.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_ad5d8b.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_0b233e | grep -v "SZS"
% 0.47/0.64  
% 0.47/0.64  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.47/0.64  
% 0.47/0.64  % 
% 0.47/0.64  % ------  iProver source info 
% 0.47/0.64  
% 0.47/0.64  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.47/0.64  % git: non_committed_changes: true
% 0.47/0.64  % git: last_make_outside_of_git: true
% 0.47/0.64  
% 0.47/0.64  % 
% 0.47/0.64  % ------ Input Options
% 0.47/0.64  
% 0.47/0.64  % --out_options                         all
% 0.47/0.64  % --tptp_safe_out                       true
% 0.47/0.64  % --problem_path                        ""
% 0.47/0.64  % --include_path                        ""
% 0.47/0.64  % --clausifier                          .//eprover
% 0.47/0.64  % --clausifier_options                  --tstp-format  
% 0.47/0.64  % --stdin                               false
% 0.47/0.64  % --dbg_backtrace                       false
% 0.47/0.64  % --dbg_dump_prop_clauses               false
% 0.47/0.64  % --dbg_dump_prop_clauses_file          -
% 0.47/0.64  % --dbg_out_stat                        false
% 0.47/0.64  
% 0.47/0.64  % ------ General Options
% 0.47/0.64  
% 0.47/0.64  % --fof                                 false
% 0.47/0.64  % --time_out_real                       150.
% 0.47/0.64  % --time_out_prep_mult                  0.2
% 0.47/0.64  % --time_out_virtual                    -1.
% 0.47/0.64  % --schedule                            none
% 0.47/0.64  % --ground_splitting                    input
% 0.47/0.64  % --splitting_nvd                       16
% 0.47/0.64  % --non_eq_to_eq                        false
% 0.47/0.64  % --prep_gs_sim                         true
% 0.47/0.64  % --prep_unflatten                      false
% 0.47/0.64  % --prep_res_sim                        true
% 0.47/0.64  % --prep_upred                          true
% 0.47/0.64  % --res_sim_input                       true
% 0.47/0.64  % --clause_weak_htbl                    true
% 0.47/0.64  % --gc_record_bc_elim                   false
% 0.47/0.64  % --symbol_type_check                   false
% 0.47/0.64  % --clausify_out                        false
% 0.47/0.64  % --large_theory_mode                   false
% 0.47/0.64  % --prep_sem_filter                     none
% 0.47/0.64  % --prep_sem_filter_out                 false
% 0.47/0.64  % --preprocessed_out                    false
% 0.47/0.64  % --sub_typing                          false
% 0.47/0.64  % --brand_transform                     false
% 0.47/0.64  % --pure_diseq_elim                     true
% 0.47/0.64  % --min_unsat_core                      false
% 0.47/0.64  % --pred_elim                           true
% 0.47/0.64  % --add_important_lit                   false
% 0.47/0.64  % --soft_assumptions                    false
% 0.47/0.64  % --reset_solvers                       false
% 0.47/0.64  % --bc_imp_inh                          []
% 0.47/0.64  % --conj_cone_tolerance                 1.5
% 0.47/0.64  % --prolific_symb_bound                 500
% 0.47/0.64  % --lt_threshold                        2000
% 0.47/0.64  
% 0.47/0.64  % ------ SAT Options
% 0.47/0.64  
% 0.47/0.64  % --sat_mode                            false
% 0.47/0.64  % --sat_fm_restart_options              ""
% 0.47/0.64  % --sat_gr_def                          false
% 0.47/0.64  % --sat_epr_types                       true
% 0.47/0.64  % --sat_non_cyclic_types                false
% 0.47/0.64  % --sat_finite_models                   false
% 0.47/0.64  % --sat_fm_lemmas                       false
% 0.47/0.64  % --sat_fm_prep                         false
% 0.47/0.64  % --sat_fm_uc_incr                      true
% 0.47/0.64  % --sat_out_model                       small
% 0.47/0.64  % --sat_out_clauses                     false
% 0.47/0.64  
% 0.47/0.64  % ------ QBF Options
% 0.47/0.64  
% 0.47/0.64  % --qbf_mode                            false
% 0.47/0.64  % --qbf_elim_univ                       true
% 0.47/0.64  % --qbf_sk_in                           true
% 0.47/0.64  % --qbf_pred_elim                       true
% 0.47/0.64  % --qbf_split                           32
% 0.47/0.64  
% 0.47/0.64  % ------ BMC1 Options
% 0.47/0.64  
% 0.47/0.64  % --bmc1_incremental                    false
% 0.47/0.64  % --bmc1_axioms                         reachable_all
% 0.47/0.64  % --bmc1_min_bound                      0
% 0.47/0.64  % --bmc1_max_bound                      -1
% 0.47/0.64  % --bmc1_max_bound_default              -1
% 0.47/0.64  % --bmc1_symbol_reachability            true
% 0.47/0.64  % --bmc1_property_lemmas                false
% 0.47/0.64  % --bmc1_k_induction                    false
% 0.47/0.64  % --bmc1_non_equiv_states               false
% 0.47/0.64  % --bmc1_deadlock                       false
% 0.47/0.64  % --bmc1_ucm                            false
% 0.47/0.64  % --bmc1_add_unsat_core                 none
% 0.47/0.64  % --bmc1_unsat_core_children            false
% 0.47/0.64  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.47/0.64  % --bmc1_out_stat                       full
% 0.47/0.64  % --bmc1_ground_init                    false
% 0.47/0.64  % --bmc1_pre_inst_next_state            false
% 0.47/0.64  % --bmc1_pre_inst_state                 false
% 0.47/0.64  % --bmc1_pre_inst_reach_state           false
% 0.47/0.64  % --bmc1_out_unsat_core                 false
% 0.47/0.64  % --bmc1_aig_witness_out                false
% 0.47/0.64  % --bmc1_verbose                        false
% 0.47/0.64  % --bmc1_dump_clauses_tptp              false
% 1.88/2.16  % --bmc1_dump_unsat_core_tptp           false
% 1.88/2.16  % --bmc1_dump_file                      -
% 1.88/2.16  % --bmc1_ucm_expand_uc_limit            128
% 1.88/2.16  % --bmc1_ucm_n_expand_iterations        6
% 1.88/2.16  % --bmc1_ucm_extend_mode                1
% 1.88/2.16  % --bmc1_ucm_init_mode                  2
% 1.88/2.16  % --bmc1_ucm_cone_mode                  none
% 1.88/2.16  % --bmc1_ucm_reduced_relation_type      0
% 1.88/2.16  % --bmc1_ucm_relax_model                4
% 1.88/2.16  % --bmc1_ucm_full_tr_after_sat          true
% 1.88/2.16  % --bmc1_ucm_expand_neg_assumptions     false
% 1.88/2.16  % --bmc1_ucm_layered_model              none
% 1.88/2.16  % --bmc1_ucm_max_lemma_size             10
% 1.88/2.16  
% 1.88/2.16  % ------ AIG Options
% 1.88/2.16  
% 1.88/2.16  % --aig_mode                            false
% 1.88/2.16  
% 1.88/2.16  % ------ Instantiation Options
% 1.88/2.16  
% 1.88/2.16  % --instantiation_flag                  true
% 1.88/2.16  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 1.88/2.16  % --inst_solver_per_active              750
% 1.88/2.16  % --inst_solver_calls_frac              0.5
% 1.88/2.16  % --inst_passive_queue_type             priority_queues
% 1.88/2.16  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 1.88/2.16  % --inst_passive_queues_freq            [25;2]
% 1.88/2.16  % --inst_dismatching                    true
% 1.88/2.16  % --inst_eager_unprocessed_to_passive   true
% 1.88/2.16  % --inst_prop_sim_given                 true
% 1.88/2.16  % --inst_prop_sim_new                   false
% 1.88/2.16  % --inst_orphan_elimination             true
% 1.88/2.16  % --inst_learning_loop_flag             true
% 1.88/2.16  % --inst_learning_start                 3000
% 1.88/2.16  % --inst_learning_factor                2
% 1.88/2.16  % --inst_start_prop_sim_after_learn     3
% 1.88/2.16  % --inst_sel_renew                      solver
% 1.88/2.16  % --inst_lit_activity_flag              true
% 1.88/2.16  % --inst_out_proof                      true
% 1.88/2.16  
% 1.88/2.16  % ------ Resolution Options
% 1.88/2.16  
% 1.88/2.16  % --resolution_flag                     true
% 1.88/2.16  % --res_lit_sel                         kbo_max
% 1.88/2.16  % --res_to_prop_solver                  none
% 1.88/2.16  % --res_prop_simpl_new                  false
% 1.88/2.16  % --res_prop_simpl_given                false
% 1.88/2.16  % --res_passive_queue_type              priority_queues
% 1.88/2.16  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.88/2.16  % --res_passive_queues_freq             [15;5]
% 1.88/2.16  % --res_forward_subs                    full
% 1.88/2.16  % --res_backward_subs                   full
% 1.88/2.16  % --res_forward_subs_resolution         true
% 1.88/2.16  % --res_backward_subs_resolution        true
% 1.88/2.16  % --res_orphan_elimination              false
% 1.88/2.16  % --res_time_limit                      1000.
% 1.88/2.16  % --res_out_proof                       true
% 1.88/2.16  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_73d122.s
% 1.88/2.16  % --modulo                              true
% 1.88/2.16  
% 1.88/2.16  % ------ Combination Options
% 1.88/2.16  
% 1.88/2.16  % --comb_res_mult                       1000
% 1.88/2.16  % --comb_inst_mult                      300
% 1.88/2.16  % ------ 
% 1.88/2.16  
% 1.88/2.16  % ------ Parsing...% successful
% 1.88/2.16  
% 1.88/2.16  % ------ 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 % 
% 1.88/2.16  
% 1.88/2.16  % ------ Proving...
% 1.88/2.16  % ------ Problem Properties 
% 1.88/2.16  
% 1.88/2.16  % 
% 1.88/2.16  % EPR                                   false
% 1.88/2.16  % Horn                                  false
% 1.88/2.16  % Has equality                          true
% 1.88/2.16  
% 1.88/2.16  % % ------ Input Options Time Limit: Unbounded
% 1.88/2.16  
% 1.88/2.16  
% 1.88/2.16  Compiling...
% 1.88/2.16  Loading plugin: done.
% 1.88/2.16  Compiling...
% 1.88/2.16  Loading plugin: done.
% 1.88/2.16  Compiling...
% 1.88/2.16  Loading plugin: done.
% 1.88/2.16  Compiling...
% 1.88/2.16  Loading plugin: done.
% 1.88/2.16  Compiling...
% 1.88/2.16  Loading plugin: done.
% 1.88/2.16  Compiling...
% 1.88/2.16  Loading plugin: done.
% 1.88/2.16  Compiling...
% 1.88/2.16  Loading plugin: done.
% 1.88/2.16  Compiling...
% 1.88/2.16  Loading plugin: done.
% 1.88/2.16  Compiling...
% 1.88/2.16  Loading plugin: done.
% 1.88/2.16  Compiling...
% 1.88/2.16  Loading plugin: done.
% 1.88/2.16  Compiling...
% 1.88/2.16  Loading plugin: done.
% 1.88/2.16  Compiling...
% 1.88/2.16  Loading plugin: done.
% 1.88/2.16  % % ------ Current options:
% 1.88/2.16  
% 1.88/2.16  % ------ Input Options
% 1.88/2.16  
% 1.88/2.16  % --out_options                         all
% 1.88/2.16  % --tptp_safe_out                       true
% 1.88/2.16  % --problem_path                        ""
% 1.88/2.16  % --include_path                        ""
% 1.88/2.16  % --clausifier                          .//eprover
% 1.88/2.16  % --clausifier_options                  --tstp-format  
% 1.88/2.16  % --stdin                               false
% 1.88/2.16  % --dbg_backtrace                       false
% 1.88/2.16  % --dbg_dump_prop_clauses               false
% 1.88/2.16  % --dbg_dump_prop_clauses_file          -
% 1.88/2.16  % --dbg_out_stat                        false
% 1.88/2.16  
% 1.88/2.16  % ------ General Options
% 1.88/2.16  
% 1.88/2.16  % --fof                                 false
% 1.88/2.16  % --time_out_real                       150.
% 1.88/2.16  % --time_out_prep_mult                  0.2
% 1.88/2.16  % --time_out_virtual                    -1.
% 1.88/2.16  % --schedule                            none
% 1.88/2.16  % --ground_splitting                    input
% 1.88/2.16  % --splitting_nvd                       16
% 1.88/2.16  % --non_eq_to_eq                        false
% 1.88/2.16  % --prep_gs_sim                         true
% 1.88/2.16  % --prep_unflatten                      false
% 1.88/2.16  % --prep_res_sim                        true
% 1.88/2.16  % --prep_upred                          true
% 1.88/2.16  % --res_sim_input                       true
% 1.88/2.16  % --clause_weak_htbl                    true
% 1.88/2.16  % --gc_record_bc_elim                   false
% 1.88/2.16  % --symbol_type_check                   false
% 1.88/2.16  % --clausify_out                        false
% 1.88/2.16  % --large_theory_mode                   false
% 1.88/2.16  % --prep_sem_filter                     none
% 1.88/2.16  % --prep_sem_filter_out                 false
% 1.88/2.16  % --preprocessed_out                    false
% 1.88/2.16  % --sub_typing                          false
% 1.88/2.16  % --brand_transform                     false
% 1.88/2.16  % --pure_diseq_elim                     true
% 1.88/2.16  % --min_unsat_core                      false
% 1.88/2.16  % --pred_elim                           true
% 1.88/2.16  % --add_important_lit                   false
% 1.88/2.16  % --soft_assumptions                    false
% 1.88/2.16  % --reset_solvers                       false
% 1.88/2.16  % --bc_imp_inh                          []
% 1.88/2.16  % --conj_cone_tolerance                 1.5
% 1.88/2.16  % --prolific_symb_bound                 500
% 1.88/2.16  % --lt_threshold                        2000
% 1.88/2.16  
% 1.88/2.16  % ------ SAT Options
% 1.88/2.16  
% 1.88/2.16  % --sat_mode                            false
% 1.88/2.16  % --sat_fm_restart_options              ""
% 1.88/2.16  % --sat_gr_def                          false
% 1.88/2.16  % --sat_epr_types                       true
% 1.88/2.16  % --sat_non_cyclic_types                false
% 1.88/2.16  % --sat_finite_models                   false
% 1.88/2.16  % --sat_fm_lemmas                       false
% 1.88/2.16  % --sat_fm_prep                         false
% 1.88/2.16  % --sat_fm_uc_incr                      true
% 1.88/2.16  % --sat_out_model                       small
% 1.88/2.16  % --sat_out_clauses                     false
% 1.88/2.16  
% 1.88/2.16  % ------ QBF Options
% 1.88/2.16  
% 1.88/2.16  % --qbf_mode                            false
% 1.88/2.16  % --qbf_elim_univ                       true
% 1.88/2.16  % --qbf_sk_in                           true
% 1.88/2.16  % --qbf_pred_elim                       true
% 1.88/2.16  % --qbf_split                           32
% 1.88/2.16  
% 1.88/2.16  % ------ BMC1 Options
% 1.88/2.16  
% 1.88/2.16  % --bmc1_incremental                    false
% 1.88/2.16  % --bmc1_axioms                         reachable_all
% 1.88/2.16  % --bmc1_min_bound                      0
% 1.88/2.16  % --bmc1_max_bound                      -1
% 1.88/2.16  % --bmc1_max_bound_default              -1
% 1.88/2.16  % --bmc1_symbol_reachability            true
% 1.88/2.16  % --bmc1_property_lemmas                false
% 1.88/2.16  % --bmc1_k_induction                    false
% 1.88/2.16  % --bmc1_non_equiv_states               false
% 1.88/2.16  % --bmc1_deadlock                       false
% 1.88/2.16  % --bmc1_ucm                            false
% 1.88/2.16  % --bmc1_add_unsat_core                 none
% 1.88/2.16  % --bmc1_unsat_core_children            false
% 1.88/2.16  % --bmc1_unsat_core_extrapolate_axioms  false
% 1.88/2.16  % --bmc1_out_stat                       full
% 1.88/2.16  % --bmc1_ground_init                    false
% 1.88/2.16  % --bmc1_pre_inst_next_state            false
% 1.88/2.16  % --bmc1_pre_inst_state                 false
% 1.88/2.16  % --bmc1_pre_inst_reach_state           false
% 1.88/2.16  % --bmc1_out_unsat_core                 false
% 1.88/2.16  % --bmc1_aig_witness_out                false
% 1.88/2.16  % --bmc1_verbose                        false
% 1.88/2.16  % --bmc1_dump_clauses_tptp              false
% 1.88/2.16  % --bmc1_dump_unsat_core_tptp           false
% 1.88/2.16  % --bmc1_dump_file                      -
% 1.88/2.16  % --bmc1_ucm_expand_uc_limit            128
% 1.88/2.16  % --bmc1_ucm_n_expand_iterations        6
% 1.88/2.16  % --bmc1_ucm_extend_mode                1
% 1.88/2.16  % --bmc1_ucm_init_mode                  2
% 1.88/2.16  % --bmc1_ucm_cone_mode                  none
% 1.88/2.16  % --bmc1_ucm_reduced_relation_type      0
% 1.88/2.16  % --bmc1_ucm_relax_model                4
% 1.88/2.16  % --bmc1_ucm_full_tr_after_sat          true
% 1.88/2.16  % --bmc1_ucm_expand_neg_assumptions     false
% 1.88/2.16  % --bmc1_ucm_layered_model              none
% 1.88/2.16  % --bmc1_ucm_max_lemma_size             10
% 1.88/2.16  
% 1.88/2.16  % ------ AIG Options
% 1.88/2.16  
% 1.88/2.16  % --aig_mode                            false
% 1.88/2.16  
% 1.88/2.16  % ------ Instantiation Options
% 1.88/2.16  
% 1.88/2.16  % --instantiation_flag                  true
% 1.88/2.16  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 8.41/8.65  % --inst_solver_per_active              750
% 8.41/8.65  % --inst_solver_calls_frac              0.5
% 8.41/8.65  % --inst_passive_queue_type             priority_queues
% 8.41/8.65  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 8.41/8.65  % --inst_passive_queues_freq            [25;2]
% 8.41/8.65  % --inst_dismatching                    true
% 8.41/8.65  % --inst_eager_unprocessed_to_passive   true
% 8.41/8.65  % --inst_prop_sim_given                 true
% 8.41/8.65  % --inst_prop_sim_new                   false
% 8.41/8.65  % --inst_orphan_elimination             true
% 8.41/8.65  % --inst_learning_loop_flag             true
% 8.41/8.65  % --inst_learning_start                 3000
% 8.41/8.65  % --inst_learning_factor                2
% 8.41/8.65  % --inst_start_prop_sim_after_learn     3
% 8.41/8.65  % --inst_sel_renew                      solver
% 8.41/8.65  % --inst_lit_activity_flag              true
% 8.41/8.65  % --inst_out_proof                      true
% 8.41/8.65  
% 8.41/8.65  % ------ Resolution Options
% 8.41/8.65  
% 8.41/8.65  % --resolution_flag                     true
% 8.41/8.65  % --res_lit_sel                         kbo_max
% 8.41/8.65  % --res_to_prop_solver                  none
% 8.41/8.65  % --res_prop_simpl_new                  false
% 8.41/8.65  % --res_prop_simpl_given                false
% 8.41/8.65  % --res_passive_queue_type              priority_queues
% 8.41/8.65  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 8.41/8.65  % --res_passive_queues_freq             [15;5]
% 8.41/8.65  % --res_forward_subs                    full
% 8.41/8.65  % --res_backward_subs                   full
% 8.41/8.65  % --res_forward_subs_resolution         true
% 8.41/8.65  % --res_backward_subs_resolution        true
% 8.41/8.65  % --res_orphan_elimination              false
% 8.41/8.65  % --res_time_limit                      1000.
% 8.41/8.65  % --res_out_proof                       true
% 8.41/8.65  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_73d122.s
% 8.41/8.65  % --modulo                              true
% 8.41/8.65  
% 8.41/8.65  % ------ Combination Options
% 8.41/8.65  
% 8.41/8.65  % --comb_res_mult                       1000
% 8.41/8.65  % --comb_inst_mult                      300
% 8.41/8.65  % ------ 
% 8.41/8.65  
% 8.41/8.65  
% 8.41/8.65  
% 8.41/8.65  % ------ Proving...
% 8.41/8.65  % 
% 8.41/8.65  
% 8.41/8.65  
% 8.41/8.65  % ------                             Statistics
% 8.41/8.65  
% 8.41/8.65  % ------ General
% 8.41/8.65  
% 8.41/8.65  % num_of_input_clauses:                 3009
% 8.41/8.65  % num_of_input_neg_conjectures:         1
% 8.41/8.65  % num_of_splits:                        0
% 8.41/8.65  % num_of_split_atoms:                   0
% 8.41/8.65  % num_of_sem_filtered_clauses:          0
% 8.41/8.65  % num_of_subtypes:                      0
% 8.41/8.65  % monotx_restored_types:                0
% 8.41/8.65  % sat_num_of_epr_types:                 0
% 8.41/8.65  % sat_num_of_non_cyclic_types:          0
% 8.41/8.65  % sat_guarded_non_collapsed_types:      0
% 8.41/8.65  % is_epr:                               0
% 8.41/8.65  % is_horn:                              0
% 8.41/8.65  % has_eq:                               1
% 8.41/8.65  % num_pure_diseq_elim:                  0
% 8.41/8.65  % simp_replaced_by:                     0
% 8.41/8.65  % res_preprocessed:                     2
% 8.41/8.65  % prep_upred:                           0
% 8.41/8.65  % prep_unflattend:                      0
% 8.41/8.65  % pred_elim_cands:                      0
% 8.41/8.65  % pred_elim:                            0
% 8.41/8.65  % pred_elim_cl:                         0
% 8.41/8.65  % pred_elim_cycles:                     0
% 8.41/8.65  % forced_gc_time:                       0
% 8.41/8.65  % gc_basic_clause_elim:                 0
% 8.41/8.65  % parsing_time:                         0.155
% 8.41/8.65  % sem_filter_time:                      0.
% 8.41/8.65  % pred_elim_time:                       0.
% 8.41/8.65  % out_proof_time:                       0.001
% 8.41/8.65  % monotx_time:                          0.
% 8.41/8.65  % subtype_inf_time:                     0.
% 8.41/8.65  % unif_index_cands_time:                0.011
% 8.41/8.65  % unif_index_add_time:                  0.012
% 8.41/8.65  % total_time:                           8.029
% 8.41/8.65  % num_of_symbols:                       139
% 8.41/8.65  % num_of_terms:                         211119
% 8.41/8.65  
% 8.41/8.65  % ------ Propositional Solver
% 8.41/8.65  
% 8.41/8.65  % prop_solver_calls:                    3
% 8.41/8.65  % prop_fast_solver_calls:               3
% 8.41/8.65  % prop_num_of_clauses:                  3683
% 8.41/8.65  % prop_preprocess_simplified:           16282
% 8.41/8.65  % prop_fo_subsumed:                     0
% 8.41/8.65  % prop_solver_time:                     0.
% 8.41/8.65  % prop_fast_solver_time:                0.
% 8.41/8.65  % prop_unsat_core_time:                 0.
% 8.41/8.65  
% 8.41/8.65  % ------ QBF 
% 8.41/8.65  
% 8.41/8.65  % qbf_q_res:                            0
% 8.41/8.65  % qbf_num_tautologies:                  0
% 8.41/8.65  % qbf_prep_cycles:                      0
% 8.41/8.65  
% 8.41/8.65  % ------ BMC1
% 8.41/8.65  
% 8.41/8.65  % bmc1_current_bound:                   -1
% 8.41/8.65  % bmc1_last_solved_bound:               -1
% 8.41/8.66  % bmc1_unsat_core_size:                 -1
% 8.41/8.66  % bmc1_unsat_core_parents_size:         -1
% 8.41/8.66  % bmc1_merge_next_fun:                  0
% 8.41/8.66  % bmc1_unsat_core_clauses_time:         0.
% 8.41/8.66  
% 8.41/8.66  % ------ Instantiation
% 8.41/8.66  
% 8.41/8.66  % inst_num_of_clauses:                  3484
% 8.41/8.66  % inst_num_in_passive:                  2656
% 8.41/8.66  % inst_num_in_active:                   761
% 8.41/8.66  % inst_num_in_unprocessed:              49
% 8.41/8.66  % inst_num_of_loops:                    763
% 8.41/8.66  % inst_num_of_learning_restarts:        0
% 8.41/8.66  % inst_num_moves_active_passive:        0
% 8.41/8.66  % inst_lit_activity:                    108
% 8.41/8.66  % inst_lit_activity_moves:              0
% 8.41/8.66  % inst_num_tautologies:                 0
% 8.41/8.66  % inst_num_prop_implied:                0
% 8.41/8.66  % inst_num_existing_simplified:         0
% 8.41/8.66  % inst_num_eq_res_simplified:           0
% 8.41/8.66  % inst_num_child_elim:                  0
% 8.41/8.66  % inst_num_of_dismatching_blockings:    423
% 8.41/8.66  % inst_num_of_non_proper_insts:         612
% 8.41/8.66  % inst_num_of_duplicates:               1486
% 8.41/8.66  % inst_inst_num_from_inst_to_res:       0
% 8.41/8.66  % inst_dismatching_checking_time:       0.
% 8.41/8.66  
% 8.41/8.66  % ------ Resolution
% 8.41/8.66  
% 8.41/8.66  % res_num_of_clauses:                   81139
% 8.41/8.66  % res_num_in_passive:                   76314
% 8.41/8.66  % res_num_in_active:                    2759
% 8.41/8.66  % res_num_of_loops:                     3000
% 8.41/8.66  % res_forward_subset_subsumed:          3066
% 8.41/8.66  % res_backward_subset_subsumed:         10
% 8.41/8.66  % res_forward_subsumed:                 1339
% 8.41/8.66  % res_backward_subsumed:                3
% 8.41/8.66  % res_forward_subsumption_resolution:   397
% 8.41/8.66  % res_backward_subsumption_resolution:  0
% 8.41/8.66  % res_clause_to_clause_subsumption:     9182
% 8.41/8.66  % res_orphan_elimination:               0
% 8.41/8.66  % res_tautology_del:                    37
% 8.41/8.66  % res_num_eq_res_simplified:            0
% 8.41/8.66  % res_num_sel_changes:                  0
% 8.41/8.66  % res_moves_from_active_to_pass:        0
% 8.41/8.66  
% 8.41/8.66  % Status Unsatisfiable
% 8.41/8.66  % SZS status Unsatisfiable
% 8.41/8.66  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------