%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : ALG436-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n029.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 17:12:42 EDT 2022

% Result   : Unsatisfiable 0.20s 0.58s
% Output   : CNFRefutation 0.44s
% 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__Power_Opower,axiom,
    class_Power_Opower(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__Power_Opower_0,plain,
    ( class_Power_Opower(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Power_Opower]) ).

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__Ring__and__Field_Oring__1,axiom,
    class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1_0,plain,
    ( class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1]) ).

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__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__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__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__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__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__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_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
    class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex),
    input ).

fof(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors_0,plain,
    ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors]) ).

cnf(clsarity_Rational__Orat__Power_Opower,axiom,
    class_Power_Opower(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__Power_Opower_0,plain,
    ( class_Power_Opower(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__Power_Opower]) ).

cnf(clsarity_Rational__Orat__Int_Onumber__ring,axiom,
    class_Int_Onumber__ring(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__Int_Onumber__ring_0,plain,
    ( class_Int_Onumber__ring(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__Int_Onumber__ring]) ).

cnf(clsarity_Rational__Orat__Ring__and__Field_Odvd,axiom,
    class_Ring__and__Field_Odvd(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__Ring__and__Field_Odvd_0,plain,
    ( class_Ring__and__Field_Odvd(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Odvd]) ).

cnf(clsarity_Rational__Orat__Ring__and__Field_Oidom,axiom,
    class_Ring__and__Field_Oidom(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__Ring__and__Field_Oidom_0,plain,
    ( class_Ring__and__Field_Oidom(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Oidom]) ).

cnf(clsarity_Rational__Orat__Ring__and__Field_Oring,axiom,
    class_Ring__and__Field_Oring(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__Ring__and__Field_Oring_0,plain,
    ( class_Ring__and__Field_Oring(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Oring]) ).

cnf(clsarity_Rational__Orat__Ring__and__Field_Ofield,axiom,
    class_Ring__and__Field_Ofield(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__Ring__and__Field_Ofield_0,plain,
    ( class_Ring__and__Field_Ofield(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Ofield]) ).

cnf(clsarity_Rational__Orat__Ring__and__Field_Oring__1,axiom,
    class_Ring__and__Field_Oring__1(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__Ring__and__Field_Oring__1_0,plain,
    ( class_Ring__and__Field_Oring__1(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Oring__1]) ).

cnf(clsarity_Rational__Orat__OrderedGroup_Ogroup__add,axiom,
    class_OrderedGroup_Ogroup__add(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__OrderedGroup_Ogroup__add_0,plain,
    ( class_OrderedGroup_Ogroup__add(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__OrderedGroup_Ogroup__add]) ).

cnf(clsarity_Rational__Orat__OrderedGroup_Omonoid__add,axiom,
    class_OrderedGroup_Omonoid__add(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__OrderedGroup_Omonoid__add_0,plain,
    ( class_OrderedGroup_Omonoid__add(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__OrderedGroup_Omonoid__add]) ).

cnf(clsarity_Rational__Orat__Ring__and__Field_Osemiring,axiom,
    class_Ring__and__Field_Osemiring(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__Ring__and__Field_Osemiring_0,plain,
    ( class_Ring__and__Field_Osemiring(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Osemiring]) ).

cnf(clsarity_Rational__Orat__OrderedGroup_Omonoid__mult,axiom,
    class_OrderedGroup_Omonoid__mult(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__OrderedGroup_Omonoid__mult_0,plain,
    ( class_OrderedGroup_Omonoid__mult(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__OrderedGroup_Omonoid__mult]) ).

cnf(clsarity_Rational__Orat__Ring__and__Field_Ocomm__ring,axiom,
    class_Ring__and__Field_Ocomm__ring(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__Ring__and__Field_Ocomm__ring_0,plain,
    ( class_Ring__and__Field_Ocomm__ring(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Ocomm__ring]) ).

cnf(clsarity_Rational__Orat__Ring__and__Field_Omult__zero,axiom,
    class_Ring__and__Field_Omult__zero(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__Ring__and__Field_Omult__zero_0,plain,
    ( class_Ring__and__Field_Omult__zero(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Omult__zero]) ).

cnf(clsarity_Rational__Orat__OrderedGroup_Oab__group__add,axiom,
    class_OrderedGroup_Oab__group__add(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__OrderedGroup_Oab__group__add_0,plain,
    ( class_OrderedGroup_Oab__group__add(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__OrderedGroup_Oab__group__add]) ).

cnf(clsarity_Rational__Orat__Ring__and__Field_Ocomm__ring__1,axiom,
    class_Ring__and__Field_Ocomm__ring__1(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__Ring__and__Field_Ocomm__ring__1_0,plain,
    ( class_Ring__and__Field_Ocomm__ring__1(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Ocomm__ring__1]) ).

cnf(clsarity_Rational__Orat__Ring__and__Field_Oordered__idom,axiom,
    class_Ring__and__Field_Oordered__idom(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__Ring__and__Field_Oordered__idom_0,plain,
    ( class_Ring__and__Field_Oordered__idom(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Oordered__idom]) ).

cnf(clsarity_Rational__Orat__Ring__and__Field_Ozero__neq__one,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__Ring__and__Field_Ozero__neq__one_0,plain,
    ( class_Ring__and__Field_Ozero__neq__one(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Ozero__neq__one]) ).

cnf(clsarity_Rational__Orat__OrderedGroup_Ocomm__monoid__add,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__OrderedGroup_Ocomm__monoid__add_0,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__OrderedGroup_Ocomm__monoid__add]) ).

cnf(clsarity_Rational__Orat__Ring__and__Field_Ocomm__semiring,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__Ring__and__Field_Ocomm__semiring_0,plain,
    ( class_Ring__and__Field_Ocomm__semiring(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Ocomm__semiring]) ).

cnf(clsarity_Rational__Orat__Ring__and__Field_Odivision__ring,axiom,
    class_Ring__and__Field_Odivision__ring(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__Ring__and__Field_Odivision__ring_0,plain,
    ( class_Ring__and__Field_Odivision__ring(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Odivision__ring]) ).

cnf(clsarity_Rational__Orat__Ring__and__Field_Oordered__field,axiom,
    class_Ring__and__Field_Oordered__field(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__Ring__and__Field_Oordered__field_0,plain,
    ( class_Ring__and__Field_Oordered__field(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Oordered__field]) ).

cnf(clsarity_Rational__Orat__OrderedGroup_Oab__semigroup__add,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__OrderedGroup_Oab__semigroup__add_0,plain,
    ( class_OrderedGroup_Oab__semigroup__add(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__OrderedGroup_Oab__semigroup__add]) ).

cnf(clsarity_Rational__Orat__OrderedGroup_Ocomm__monoid__mult,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__OrderedGroup_Ocomm__monoid__mult_0,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__OrderedGroup_Ocomm__monoid__mult]) ).

cnf(clsarity_Rational__Orat__OrderedGroup_Oab__semigroup__mult,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__OrderedGroup_Oab__semigroup__mult_0,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__OrderedGroup_Oab__semigroup__mult]) ).

cnf(clsarity_Rational__Orat__Ring__and__Field_Ocomm__semiring__0,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__Ring__and__Field_Ocomm__semiring__0_0,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Ocomm__semiring__0]) ).

cnf(clsarity_Rational__Orat__Ring__and__Field_Ocomm__semiring__1,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__Ring__and__Field_Ocomm__semiring__1_0,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Ocomm__semiring__1]) ).

cnf(clsarity_Rational__Orat__Ring__and__Field_Odivision__by__zero,axiom,
    class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__Ring__and__Field_Odivision__by__zero_0,plain,
    ( class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Odivision__by__zero]) ).

cnf(clsarity_Rational__Orat__Ring__and__Field_Ono__zero__divisors,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__Ring__and__Field_Ono__zero__divisors_0,plain,
    ( class_Ring__and__Field_Ono__zero__divisors(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Ono__zero__divisors]) ).

cnf(clsarity_Rational__Orat__OrderedGroup_Ocancel__semigroup__add,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__OrderedGroup_Ocancel__semigroup__add_0,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__OrderedGroup_Ocancel__semigroup__add]) ).

cnf(clsarity_Rational__Orat__OrderedGroup_Oordered__ab__group__add,axiom,
    class_OrderedGroup_Oordered__ab__group__add(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__OrderedGroup_Oordered__ab__group__add_0,plain,
    ( class_OrderedGroup_Oordered__ab__group__add(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__OrderedGroup_Oordered__ab__group__add]) ).

cnf(clsarity_Rational__Orat__Ring__and__Field_Oordered__ring__strict,axiom,
    class_Ring__and__Field_Oordered__ring__strict(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__Ring__and__Field_Oordered__ring__strict_0,plain,
    ( class_Ring__and__Field_Oordered__ring__strict(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Oordered__ring__strict]) ).

cnf(clsarity_Rational__Orat__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__OrderedGroup_Ocancel__ab__semigroup__add_0,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__OrderedGroup_Ocancel__ab__semigroup__add]) ).

cnf(clsarity_Rational__Orat__Ring__and__Field_Oring__no__zero__divisors,axiom,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__Ring__and__Field_Oring__no__zero__divisors_0,plain,
    ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Oring__no__zero__divisors]) ).

cnf(clsarity_Rational__Orat__OrderedGroup_Opordered__ab__group__add__abs,axiom,
    class_OrderedGroup_Opordered__ab__group__add__abs(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__OrderedGroup_Opordered__ab__group__add__abs_0,plain,
    ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__OrderedGroup_Opordered__ab__group__add__abs]) ).

cnf(clsarity_Rational__Orat__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
    class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__Ring__and__Field_Oring__1__no__zero__divisors_0,plain,
    ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Oring__1__no__zero__divisors]) ).

cnf(clsarity_Rational__Orat__OrderedGroup_Ocancel__comm__monoid__add,axiom,
    class_OrderedGroup_Ocancel__comm__monoid__add(tc_Rational_Orat),
    input ).

fof(clsarity_Rational__Orat__OrderedGroup_Ocancel__comm__monoid__add_0,plain,
    ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_Rational__Orat__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_divide__rat__def__raw_0,axiom,
    c_HOL_Oinverse__class_Odivide(v_q,v_r,tc_Rational_Orat) = c_HOL_Otimes__class_Otimes(v_q,c_HOL_Oinverse__class_Oinverse(v_r,tc_Rational_Orat),tc_Rational_Orat),
    input ).

fof(cls_divide__rat__def__raw_0_0,plain,
    ( c_HOL_Oinverse__class_Odivide(v_q,v_r,tc_Rational_Orat) = c_HOL_Otimes__class_Otimes(v_q,c_HOL_Oinverse__class_Oinverse(v_r,tc_Rational_Orat),tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[cls_divide__rat__def__raw_0]) ).

cnf(cls_diff__rat__def__raw_0,axiom,
    c_HOL_Ominus__class_Ominus(v_q,v_r,tc_Rational_Orat) = c_HOL_Oplus__class_Oplus(v_q,c_HOL_Ouminus__class_Ouminus(v_r,tc_Rational_Orat),tc_Rational_Orat),
    input ).

fof(cls_diff__rat__def__raw_0_0,plain,
    ( c_HOL_Ominus__class_Ominus(v_q,v_r,tc_Rational_Orat) = c_HOL_Oplus__class_Oplus(v_q,c_HOL_Ouminus__class_Ouminus(v_r,tc_Rational_Orat),tc_Rational_Orat)
    | $false ),
    inference(orientation,[status(thm)],[cls_diff__rat__def__raw_0]) ).

cnf(cls_pp_H_0,axiom,
    c_Ring__and__Field_Odvd__class_Odvd(v_p,v_p_H,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    input ).

fof(cls_pp_H_0_0,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_p_H,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | $false ),
    inference(orientation,[status(thm)],[cls_pp_H_0]) ).

cnf(cls_divide__rat__def_0,axiom,
    c_HOL_Oinverse__class_Odivide(V_q,V_r,tc_Rational_Orat) = c_HOL_Otimes__class_Otimes(V_q,c_HOL_Oinverse__class_Oinverse(V_r,tc_Rational_Orat),tc_Rational_Orat),
    input ).

fof(cls_divide__rat__def_0_0,plain,
    ! [V_q,V_r] :
      ( c_HOL_Oinverse__class_Odivide(V_q,V_r,tc_Rational_Orat) = c_HOL_Otimes__class_Otimes(V_q,c_HOL_Oinverse__class_Oinverse(V_r,tc_Rational_Orat),tc_Rational_Orat)
      | $false ),
    inference(orientation,[status(thm)],[cls_divide__rat__def_0]) ).

cnf(cls_diff__rat__def_0,axiom,
    c_HOL_Ominus__class_Ominus(V_q,V_r,tc_Rational_Orat) = c_HOL_Oplus__class_Oplus(V_q,c_HOL_Ouminus__class_Ouminus(V_r,tc_Rational_Orat),tc_Rational_Orat),
    input ).

fof(cls_diff__rat__def_0_0,plain,
    ! [V_q,V_r] :
      ( c_HOL_Ominus__class_Ominus(V_q,V_r,tc_Rational_Orat) = c_HOL_Oplus__class_Oplus(V_q,c_HOL_Ouminus__class_Ouminus(V_r,tc_Rational_Orat),tc_Rational_Orat)
      | $false ),
    inference(orientation,[status(thm)],[cls_diff__rat__def_0]) ).

fof(def_lhs_atom1,axiom,
    ! [V_r,V_q] :
      ( lhs_atom1(V_r,V_q)
    <=> c_HOL_Ominus__class_Ominus(V_q,V_r,tc_Rational_Orat) = c_HOL_Oplus__class_Oplus(V_q,c_HOL_Ouminus__class_Ouminus(V_r,tc_Rational_Orat),tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ! [V_q,V_r] :
      ( lhs_atom1(V_r,V_q)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_diff__rat__def_0_0,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [V_r,V_q] :
      ( lhs_atom2(V_r,V_q)
    <=> c_HOL_Oinverse__class_Odivide(V_q,V_r,tc_Rational_Orat) = c_HOL_Otimes__class_Otimes(V_q,c_HOL_Oinverse__class_Oinverse(V_r,tc_Rational_Orat),tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_1,plain,
    ! [V_q,V_r] :
      ( lhs_atom2(V_r,V_q)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_divide__rat__def_0_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ( lhs_atom3
  <=> c_Ring__and__Field_Odvd__class_Odvd(v_p,v_p_H,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_2,plain,
    ( lhs_atom3
    | $false ),
    inference(fold_definition,[status(thm)],[cls_pp_H_0_0,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ( lhs_atom4
  <=> c_HOL_Ominus__class_Ominus(v_q,v_r,tc_Rational_Orat) = c_HOL_Oplus__class_Oplus(v_q,c_HOL_Ouminus__class_Ouminus(v_r,tc_Rational_Orat),tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_3,plain,
    ( lhs_atom4
    | $false ),
    inference(fold_definition,[status(thm)],[cls_diff__rat__def__raw_0_0,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ( lhs_atom5
  <=> c_HOL_Oinverse__class_Odivide(v_q,v_r,tc_Rational_Orat) = c_HOL_Otimes__class_Otimes(v_q,c_HOL_Oinverse__class_Oinverse(v_r,tc_Rational_Orat),tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_4,plain,
    ( lhs_atom5
    | $false ),
    inference(fold_definition,[status(thm)],[cls_divide__rat__def__raw_0_0,def_lhs_atom5]) ).

fof(def_lhs_atom6,axiom,
    ( lhs_atom6
  <=> class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_5,plain,
    ( lhs_atom6
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add_0,def_lhs_atom6]) ).

fof(def_lhs_atom7,axiom,
    ( lhs_atom7
  <=> class_OrderedGroup_Ocancel__comm__monoid__add(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_6,plain,
    ( lhs_atom7
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__OrderedGroup_Ocancel__comm__monoid__add_0,def_lhs_atom7]) ).

fof(def_lhs_atom8,axiom,
    ( lhs_atom8
  <=> class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_7,plain,
    ( lhs_atom8
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Oring__1__no__zero__divisors_0,def_lhs_atom8]) ).

fof(def_lhs_atom9,axiom,
    ( lhs_atom9
  <=> class_OrderedGroup_Opordered__ab__group__add__abs(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_8,plain,
    ( lhs_atom9
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__OrderedGroup_Opordered__ab__group__add__abs_0,def_lhs_atom9]) ).

fof(def_lhs_atom10,axiom,
    ( lhs_atom10
  <=> class_Ring__and__Field_Oring__no__zero__divisors(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_9,plain,
    ( lhs_atom10
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Oring__no__zero__divisors_0,def_lhs_atom10]) ).

fof(def_lhs_atom11,axiom,
    ( lhs_atom11
  <=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_10,plain,
    ( lhs_atom11
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__OrderedGroup_Ocancel__ab__semigroup__add_0,def_lhs_atom11]) ).

fof(def_lhs_atom12,axiom,
    ( lhs_atom12
  <=> class_Ring__and__Field_Oordered__ring__strict(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_11,plain,
    ( lhs_atom12
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Oordered__ring__strict_0,def_lhs_atom12]) ).

fof(def_lhs_atom13,axiom,
    ( lhs_atom13
  <=> class_OrderedGroup_Oordered__ab__group__add(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_12,plain,
    ( lhs_atom13
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__OrderedGroup_Oordered__ab__group__add_0,def_lhs_atom13]) ).

fof(def_lhs_atom14,axiom,
    ( lhs_atom14
  <=> class_OrderedGroup_Ocancel__semigroup__add(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_13,plain,
    ( lhs_atom14
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__OrderedGroup_Ocancel__semigroup__add_0,def_lhs_atom14]) ).

fof(def_lhs_atom15,axiom,
    ( lhs_atom15
  <=> class_Ring__and__Field_Ono__zero__divisors(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_14,plain,
    ( lhs_atom15
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Ono__zero__divisors_0,def_lhs_atom15]) ).

fof(def_lhs_atom16,axiom,
    ( lhs_atom16
  <=> class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_15,plain,
    ( lhs_atom16
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Odivision__by__zero_0,def_lhs_atom16]) ).

fof(def_lhs_atom17,axiom,
    ( lhs_atom17
  <=> class_Ring__and__Field_Ocomm__semiring__1(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_16,plain,
    ( lhs_atom17
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Ocomm__semiring__1_0,def_lhs_atom17]) ).

fof(def_lhs_atom18,axiom,
    ( lhs_atom18
  <=> class_Ring__and__Field_Ocomm__semiring__0(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_17,plain,
    ( lhs_atom18
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Ocomm__semiring__0_0,def_lhs_atom18]) ).

fof(def_lhs_atom19,axiom,
    ( lhs_atom19
  <=> class_OrderedGroup_Oab__semigroup__mult(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_18,plain,
    ( lhs_atom19
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__OrderedGroup_Oab__semigroup__mult_0,def_lhs_atom19]) ).

fof(def_lhs_atom20,axiom,
    ( lhs_atom20
  <=> class_OrderedGroup_Ocomm__monoid__mult(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_19,plain,
    ( lhs_atom20
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__OrderedGroup_Ocomm__monoid__mult_0,def_lhs_atom20]) ).

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

fof(to_be_clausified_20,plain,
    ( lhs_atom21
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__OrderedGroup_Oab__semigroup__add_0,def_lhs_atom21]) ).

fof(def_lhs_atom22,axiom,
    ( lhs_atom22
  <=> class_Ring__and__Field_Oordered__field(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_21,plain,
    ( lhs_atom22
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Oordered__field_0,def_lhs_atom22]) ).

fof(def_lhs_atom23,axiom,
    ( lhs_atom23
  <=> class_Ring__and__Field_Odivision__ring(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_22,plain,
    ( lhs_atom23
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Odivision__ring_0,def_lhs_atom23]) ).

fof(def_lhs_atom24,axiom,
    ( lhs_atom24
  <=> class_Ring__and__Field_Ocomm__semiring(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_23,plain,
    ( lhs_atom24
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Ocomm__semiring_0,def_lhs_atom24]) ).

fof(def_lhs_atom25,axiom,
    ( lhs_atom25
  <=> class_OrderedGroup_Ocomm__monoid__add(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_24,plain,
    ( lhs_atom25
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__OrderedGroup_Ocomm__monoid__add_0,def_lhs_atom25]) ).

fof(def_lhs_atom26,axiom,
    ( lhs_atom26
  <=> class_Ring__and__Field_Ozero__neq__one(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_25,plain,
    ( lhs_atom26
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Ozero__neq__one_0,def_lhs_atom26]) ).

fof(def_lhs_atom27,axiom,
    ( lhs_atom27
  <=> class_Ring__and__Field_Oordered__idom(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_26,plain,
    ( lhs_atom27
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Oordered__idom_0,def_lhs_atom27]) ).

fof(def_lhs_atom28,axiom,
    ( lhs_atom28
  <=> class_Ring__and__Field_Ocomm__ring__1(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_27,plain,
    ( lhs_atom28
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Ocomm__ring__1_0,def_lhs_atom28]) ).

fof(def_lhs_atom29,axiom,
    ( lhs_atom29
  <=> class_OrderedGroup_Oab__group__add(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_28,plain,
    ( lhs_atom29
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__OrderedGroup_Oab__group__add_0,def_lhs_atom29]) ).

fof(def_lhs_atom30,axiom,
    ( lhs_atom30
  <=> class_Ring__and__Field_Omult__zero(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_29,plain,
    ( lhs_atom30
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Omult__zero_0,def_lhs_atom30]) ).

fof(def_lhs_atom31,axiom,
    ( lhs_atom31
  <=> class_Ring__and__Field_Ocomm__ring(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_30,plain,
    ( lhs_atom31
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Ocomm__ring_0,def_lhs_atom31]) ).

fof(def_lhs_atom32,axiom,
    ( lhs_atom32
  <=> class_OrderedGroup_Omonoid__mult(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_31,plain,
    ( lhs_atom32
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__OrderedGroup_Omonoid__mult_0,def_lhs_atom32]) ).

fof(def_lhs_atom33,axiom,
    ( lhs_atom33
  <=> class_Ring__and__Field_Osemiring(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_32,plain,
    ( lhs_atom33
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Osemiring_0,def_lhs_atom33]) ).

fof(def_lhs_atom34,axiom,
    ( lhs_atom34
  <=> class_OrderedGroup_Omonoid__add(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_33,plain,
    ( lhs_atom34
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__OrderedGroup_Omonoid__add_0,def_lhs_atom34]) ).

fof(def_lhs_atom35,axiom,
    ( lhs_atom35
  <=> class_OrderedGroup_Ogroup__add(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_34,plain,
    ( lhs_atom35
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__OrderedGroup_Ogroup__add_0,def_lhs_atom35]) ).

fof(def_lhs_atom36,axiom,
    ( lhs_atom36
  <=> class_Ring__and__Field_Oring__1(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_35,plain,
    ( lhs_atom36
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Oring__1_0,def_lhs_atom36]) ).

fof(def_lhs_atom37,axiom,
    ( lhs_atom37
  <=> class_Ring__and__Field_Ofield(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_36,plain,
    ( lhs_atom37
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Ofield_0,def_lhs_atom37]) ).

fof(def_lhs_atom38,axiom,
    ( lhs_atom38
  <=> class_Ring__and__Field_Oring(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_37,plain,
    ( lhs_atom38
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Oring_0,def_lhs_atom38]) ).

fof(def_lhs_atom39,axiom,
    ( lhs_atom39
  <=> class_Ring__and__Field_Oidom(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_38,plain,
    ( lhs_atom39
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Oidom_0,def_lhs_atom39]) ).

fof(def_lhs_atom40,axiom,
    ( lhs_atom40
  <=> class_Ring__and__Field_Odvd(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_39,plain,
    ( lhs_atom40
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__Ring__and__Field_Odvd_0,def_lhs_atom40]) ).

fof(def_lhs_atom41,axiom,
    ( lhs_atom41
  <=> class_Int_Onumber__ring(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_40,plain,
    ( lhs_atom41
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__Int_Onumber__ring_0,def_lhs_atom41]) ).

fof(def_lhs_atom42,axiom,
    ( lhs_atom42
  <=> class_Power_Opower(tc_Rational_Orat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_41,plain,
    ( lhs_atom42
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Rational__Orat__Power_Opower_0,def_lhs_atom42]) ).

fof(def_lhs_atom43,axiom,
    ( lhs_atom43
  <=> class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_42,plain,
    ( lhs_atom43
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors_0,def_lhs_atom43]) ).

fof(def_lhs_atom44,axiom,
    ( lhs_atom44
  <=> class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_43,plain,
    ( lhs_atom44
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors_0,def_lhs_atom44]) ).

fof(def_lhs_atom45,axiom,
    ( lhs_atom45
  <=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_44,plain,
    ( lhs_atom45
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add_0,def_lhs_atom45]) ).

fof(def_lhs_atom46,axiom,
    ( lhs_atom46
  <=> class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_45,plain,
    ( lhs_atom46
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add_0,def_lhs_atom46]) ).

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

fof(to_be_clausified_46,plain,
    ( lhs_atom47
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors_0,def_lhs_atom47]) ).

fof(def_lhs_atom48,axiom,
    ( lhs_atom48
  <=> class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_47,plain,
    ( lhs_atom48
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero_0,def_lhs_atom48]) ).

fof(def_lhs_atom49,axiom,
    ( lhs_atom49
  <=> class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_48,plain,
    ( lhs_atom49
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1_0,def_lhs_atom49]) ).

fof(def_lhs_atom50,axiom,
    ( lhs_atom50
  <=> class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_49,plain,
    ( lhs_atom50
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0_0,def_lhs_atom50]) ).

fof(def_lhs_atom51,axiom,
    ( lhs_atom51
  <=> class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_50,plain,
    ( lhs_atom51
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra_0,def_lhs_atom51]) ).

fof(def_lhs_atom52,axiom,
    ( lhs_atom52
  <=> class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_51,plain,
    ( lhs_atom52
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult_0,def_lhs_atom52]) ).

fof(def_lhs_atom53,axiom,
    ( lhs_atom53
  <=> class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_52,plain,
    ( lhs_atom53
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult_0,def_lhs_atom53]) ).

fof(def_lhs_atom54,axiom,
    ( lhs_atom54
  <=> class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_53,plain,
    ( lhs_atom54
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add_0,def_lhs_atom54]) ).

fof(def_lhs_atom55,axiom,
    ( lhs_atom55
  <=> class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_54,plain,
    ( lhs_atom55
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring_0,def_lhs_atom55]) ).

fof(def_lhs_atom56,axiom,
    ( lhs_atom56
  <=> class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_55,plain,
    ( lhs_atom56
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring_0,def_lhs_atom56]) ).

fof(def_lhs_atom57,axiom,
    ( lhs_atom57
  <=> class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_56,plain,
    ( lhs_atom57
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field_0,def_lhs_atom57]) ).

fof(def_lhs_atom58,axiom,
    ( lhs_atom58
  <=> class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_57,plain,
    ( lhs_atom58
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add_0,def_lhs_atom58]) ).

fof(def_lhs_atom59,axiom,
    ( lhs_atom59
  <=> class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_58,plain,
    ( lhs_atom59
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one_0,def_lhs_atom59]) ).

fof(def_lhs_atom60,axiom,
    ( lhs_atom60
  <=> class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_59,plain,
    ( lhs_atom60
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1_0,def_lhs_atom60]) ).

fof(def_lhs_atom61,axiom,
    ( lhs_atom61
  <=> class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_60,plain,
    ( lhs_atom61
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add_0,def_lhs_atom61]) ).

fof(def_lhs_atom62,axiom,
    ( lhs_atom62
  <=> class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_61,plain,
    ( lhs_atom62
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero_0,def_lhs_atom62]) ).

fof(def_lhs_atom63,axiom,
    ( lhs_atom63
  <=> class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_62,plain,
    ( lhs_atom63
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring_0,def_lhs_atom63]) ).

fof(def_lhs_atom64,axiom,
    ( lhs_atom64
  <=> class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_63,plain,
    ( lhs_atom64
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult_0,def_lhs_atom64]) ).

fof(def_lhs_atom65,axiom,
    ( lhs_atom65
  <=> class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_64,plain,
    ( lhs_atom65
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring_0,def_lhs_atom65]) ).

fof(def_lhs_atom66,axiom,
    ( lhs_atom66
  <=> class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_65,plain,
    ( lhs_atom66
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add_0,def_lhs_atom66]) ).

fof(def_lhs_atom67,axiom,
    ( lhs_atom67
  <=> class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_66,plain,
    ( lhs_atom67
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add_0,def_lhs_atom67]) ).

fof(def_lhs_atom68,axiom,
    ( lhs_atom68
  <=> class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_67,plain,
    ( lhs_atom68
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1_0,def_lhs_atom68]) ).

fof(def_lhs_atom69,axiom,
    ( lhs_atom69
  <=> class_RealVector_Oreal__field(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_68,plain,
    ( lhs_atom69
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__field_0,def_lhs_atom69]) ).

fof(def_lhs_atom70,axiom,
    ( lhs_atom70
  <=> class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_69,plain,
    ( lhs_atom70
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ofield_0,def_lhs_atom70]) ).

fof(def_lhs_atom71,axiom,
    ( lhs_atom71
  <=> class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_70,plain,
    ( lhs_atom71
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oring_0,def_lhs_atom71]) ).

fof(def_lhs_atom72,axiom,
    ( lhs_atom72
  <=> class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_71,plain,
    ( lhs_atom72
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oidom_0,def_lhs_atom72]) ).

fof(def_lhs_atom73,axiom,
    ( lhs_atom73
  <=> class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_72,plain,
    ( lhs_atom73
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Odvd_0,def_lhs_atom73]) ).

fof(def_lhs_atom74,axiom,
    ( lhs_atom74
  <=> class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_73,plain,
    ( lhs_atom74
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Int_Onumber__ring_0,def_lhs_atom74]) ).

fof(def_lhs_atom75,axiom,
    ( lhs_atom75
  <=> class_Power_Opower(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_74,plain,
    ( lhs_atom75
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Power_Opower_0,def_lhs_atom75]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X1,X2] :
      ( lhs_atom2(X1,X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_1,axiom,
    ! [X1,X2] :
      ( lhs_atom1(X1,X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_2,axiom,
    ( lhs_atom75
    | ~ $true ),
    file('<stdin>',to_be_clausified_74) ).

fof(c_0_3,axiom,
    ( lhs_atom74
    | ~ $true ),
    file('<stdin>',to_be_clausified_73) ).

fof(c_0_4,axiom,
    ( lhs_atom73
    | ~ $true ),
    file('<stdin>',to_be_clausified_72) ).

fof(c_0_5,axiom,
    ( lhs_atom72
    | ~ $true ),
    file('<stdin>',to_be_clausified_71) ).

fof(c_0_6,axiom,
    ( lhs_atom71
    | ~ $true ),
    file('<stdin>',to_be_clausified_70) ).

fof(c_0_7,axiom,
    ( lhs_atom70
    | ~ $true ),
    file('<stdin>',to_be_clausified_69) ).

fof(c_0_8,axiom,
    ( lhs_atom69
    | ~ $true ),
    file('<stdin>',to_be_clausified_68) ).

fof(c_0_9,axiom,
    ( lhs_atom68
    | ~ $true ),
    file('<stdin>',to_be_clausified_67) ).

fof(c_0_10,axiom,
    ( lhs_atom67
    | ~ $true ),
    file('<stdin>',to_be_clausified_66) ).

fof(c_0_11,axiom,
    ( lhs_atom66
    | ~ $true ),
    file('<stdin>',to_be_clausified_65) ).

fof(c_0_12,axiom,
    ( lhs_atom65
    | ~ $true ),
    file('<stdin>',to_be_clausified_64) ).

fof(c_0_13,axiom,
    ( lhs_atom64
    | ~ $true ),
    file('<stdin>',to_be_clausified_63) ).

fof(c_0_14,axiom,
    ( lhs_atom63
    | ~ $true ),
    file('<stdin>',to_be_clausified_62) ).

fof(c_0_15,axiom,
    ( lhs_atom62
    | ~ $true ),
    file('<stdin>',to_be_clausified_61) ).

fof(c_0_16,axiom,
    ( lhs_atom61
    | ~ $true ),
    file('<stdin>',to_be_clausified_60) ).

fof(c_0_17,axiom,
    ( lhs_atom60
    | ~ $true ),
    file('<stdin>',to_be_clausified_59) ).

fof(c_0_18,axiom,
    ( lhs_atom59
    | ~ $true ),
    file('<stdin>',to_be_clausified_58) ).

fof(c_0_19,axiom,
    ( lhs_atom58
    | ~ $true ),
    file('<stdin>',to_be_clausified_57) ).

fof(c_0_20,axiom,
    ( lhs_atom57
    | ~ $true ),
    file('<stdin>',to_be_clausified_56) ).

fof(c_0_21,axiom,
    ( lhs_atom56
    | ~ $true ),
    file('<stdin>',to_be_clausified_55) ).

fof(c_0_22,axiom,
    ( lhs_atom55
    | ~ $true ),
    file('<stdin>',to_be_clausified_54) ).

fof(c_0_23,axiom,
    ( lhs_atom54
    | ~ $true ),
    file('<stdin>',to_be_clausified_53) ).

fof(c_0_24,axiom,
    ( lhs_atom53
    | ~ $true ),
    file('<stdin>',to_be_clausified_52) ).

fof(c_0_25,axiom,
    ( lhs_atom52
    | ~ $true ),
    file('<stdin>',to_be_clausified_51) ).

fof(c_0_26,axiom,
    ( lhs_atom51
    | ~ $true ),
    file('<stdin>',to_be_clausified_50) ).

fof(c_0_27,axiom,
    ( lhs_atom50
    | ~ $true ),
    file('<stdin>',to_be_clausified_49) ).

fof(c_0_28,axiom,
    ( lhs_atom49
    | ~ $true ),
    file('<stdin>',to_be_clausified_48) ).

fof(c_0_29,axiom,
    ( lhs_atom48
    | ~ $true ),
    file('<stdin>',to_be_clausified_47) ).

fof(c_0_30,axiom,
    ( lhs_atom47
    | ~ $true ),
    file('<stdin>',to_be_clausified_46) ).

fof(c_0_31,axiom,
    ( lhs_atom46
    | ~ $true ),
    file('<stdin>',to_be_clausified_45) ).

fof(c_0_32,axiom,
    ( lhs_atom45
    | ~ $true ),
    file('<stdin>',to_be_clausified_44) ).

fof(c_0_33,axiom,
    ( lhs_atom44
    | ~ $true ),
    file('<stdin>',to_be_clausified_43) ).

fof(c_0_34,axiom,
    ( lhs_atom43
    | ~ $true ),
    file('<stdin>',to_be_clausified_42) ).

fof(c_0_35,axiom,
    ( lhs_atom42
    | ~ $true ),
    file('<stdin>',to_be_clausified_41) ).

fof(c_0_36,axiom,
    ( lhs_atom41
    | ~ $true ),
    file('<stdin>',to_be_clausified_40) ).

fof(c_0_37,axiom,
    ( lhs_atom40
    | ~ $true ),
    file('<stdin>',to_be_clausified_39) ).

fof(c_0_38,axiom,
    ( lhs_atom39
    | ~ $true ),
    file('<stdin>',to_be_clausified_38) ).

fof(c_0_39,axiom,
    ( lhs_atom38
    | ~ $true ),
    file('<stdin>',to_be_clausified_37) ).

fof(c_0_40,axiom,
    ( lhs_atom37
    | ~ $true ),
    file('<stdin>',to_be_clausified_36) ).

fof(c_0_41,axiom,
    ( lhs_atom36
    | ~ $true ),
    file('<stdin>',to_be_clausified_35) ).

fof(c_0_42,axiom,
    ( lhs_atom35
    | ~ $true ),
    file('<stdin>',to_be_clausified_34) ).

fof(c_0_43,axiom,
    ( lhs_atom34
    | ~ $true ),
    file('<stdin>',to_be_clausified_33) ).

fof(c_0_44,axiom,
    ( lhs_atom33
    | ~ $true ),
    file('<stdin>',to_be_clausified_32) ).

fof(c_0_45,axiom,
    ( lhs_atom32
    | ~ $true ),
    file('<stdin>',to_be_clausified_31) ).

fof(c_0_46,axiom,
    ( lhs_atom31
    | ~ $true ),
    file('<stdin>',to_be_clausified_30) ).

fof(c_0_47,axiom,
    ( lhs_atom30
    | ~ $true ),
    file('<stdin>',to_be_clausified_29) ).

fof(c_0_48,axiom,
    ( lhs_atom29
    | ~ $true ),
    file('<stdin>',to_be_clausified_28) ).

fof(c_0_49,axiom,
    ( lhs_atom28
    | ~ $true ),
    file('<stdin>',to_be_clausified_27) ).

fof(c_0_50,axiom,
    ( lhs_atom27
    | ~ $true ),
    file('<stdin>',to_be_clausified_26) ).

fof(c_0_51,axiom,
    ( lhs_atom26
    | ~ $true ),
    file('<stdin>',to_be_clausified_25) ).

fof(c_0_52,axiom,
    ( lhs_atom25
    | ~ $true ),
    file('<stdin>',to_be_clausified_24) ).

fof(c_0_53,axiom,
    ( lhs_atom24
    | ~ $true ),
    file('<stdin>',to_be_clausified_23) ).

fof(c_0_54,axiom,
    ( lhs_atom23
    | ~ $true ),
    file('<stdin>',to_be_clausified_22) ).

fof(c_0_55,axiom,
    ( lhs_atom22
    | ~ $true ),
    file('<stdin>',to_be_clausified_21) ).

fof(c_0_56,axiom,
    ( lhs_atom21
    | ~ $true ),
    file('<stdin>',to_be_clausified_20) ).

fof(c_0_57,axiom,
    ( lhs_atom20
    | ~ $true ),
    file('<stdin>',to_be_clausified_19) ).

fof(c_0_58,axiom,
    ( lhs_atom19
    | ~ $true ),
    file('<stdin>',to_be_clausified_18) ).

fof(c_0_59,axiom,
    ( lhs_atom18
    | ~ $true ),
    file('<stdin>',to_be_clausified_17) ).

fof(c_0_60,axiom,
    ( lhs_atom17
    | ~ $true ),
    file('<stdin>',to_be_clausified_16) ).

fof(c_0_61,axiom,
    ( lhs_atom16
    | ~ $true ),
    file('<stdin>',to_be_clausified_15) ).

fof(c_0_62,axiom,
    ( lhs_atom15
    | ~ $true ),
    file('<stdin>',to_be_clausified_14) ).

fof(c_0_63,axiom,
    ( lhs_atom14
    | ~ $true ),
    file('<stdin>',to_be_clausified_13) ).

fof(c_0_64,axiom,
    ( lhs_atom13
    | ~ $true ),
    file('<stdin>',to_be_clausified_12) ).

fof(c_0_65,axiom,
    ( lhs_atom12
    | ~ $true ),
    file('<stdin>',to_be_clausified_11) ).

fof(c_0_66,axiom,
    ( lhs_atom11
    | ~ $true ),
    file('<stdin>',to_be_clausified_10) ).

fof(c_0_67,axiom,
    ( lhs_atom10
    | ~ $true ),
    file('<stdin>',to_be_clausified_9) ).

fof(c_0_68,axiom,
    ( lhs_atom9
    | ~ $true ),
    file('<stdin>',to_be_clausified_8) ).

fof(c_0_69,axiom,
    ( lhs_atom8
    | ~ $true ),
    file('<stdin>',to_be_clausified_7) ).

fof(c_0_70,axiom,
    ( lhs_atom7
    | ~ $true ),
    file('<stdin>',to_be_clausified_6) ).

fof(c_0_71,axiom,
    ( lhs_atom6
    | ~ $true ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_72,axiom,
    ( lhs_atom5
    | ~ $true ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_73,axiom,
    ( lhs_atom4
    | ~ $true ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_74,axiom,
    ( lhs_atom3
    | ~ $true ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_75,plain,
    ! [X1,X2] : lhs_atom2(X1,X2),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_76,plain,
    ! [X1,X2] : lhs_atom1(X1,X2),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_77,plain,
    lhs_atom75,
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_78,plain,
    lhs_atom74,
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_79,plain,
    lhs_atom73,
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_80,plain,
    lhs_atom72,
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_81,plain,
    lhs_atom71,
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_82,plain,
    lhs_atom70,
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_83,plain,
    lhs_atom69,
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_84,plain,
    lhs_atom68,
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_85,plain,
    lhs_atom67,
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_86,plain,
    lhs_atom66,
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_87,plain,
    lhs_atom65,
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_88,plain,
    lhs_atom64,
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_89,plain,
    lhs_atom63,
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_90,plain,
    lhs_atom62,
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_91,plain,
    lhs_atom61,
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_92,plain,
    lhs_atom60,
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_93,plain,
    lhs_atom59,
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_94,plain,
    lhs_atom58,
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_95,plain,
    lhs_atom57,
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_96,plain,
    lhs_atom56,
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_97,plain,
    lhs_atom55,
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_98,plain,
    lhs_atom54,
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_99,plain,
    lhs_atom53,
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_100,plain,
    lhs_atom52,
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_101,plain,
    lhs_atom51,
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_102,plain,
    lhs_atom50,
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_103,plain,
    lhs_atom49,
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_104,plain,
    lhs_atom48,
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_105,plain,
    lhs_atom47,
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_106,plain,
    lhs_atom46,
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_107,plain,
    lhs_atom45,
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_108,plain,
    lhs_atom44,
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_109,plain,
    lhs_atom43,
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_110,plain,
    lhs_atom42,
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_111,plain,
    lhs_atom41,
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_112,plain,
    lhs_atom40,
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_113,plain,
    lhs_atom39,
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_114,plain,
    lhs_atom38,
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_115,plain,
    lhs_atom37,
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_116,plain,
    lhs_atom36,
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_117,plain,
    lhs_atom35,
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_118,plain,
    lhs_atom34,
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_119,plain,
    lhs_atom33,
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_120,plain,
    lhs_atom32,
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_121,plain,
    lhs_atom31,
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_122,plain,
    lhs_atom30,
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_123,plain,
    lhs_atom29,
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_124,plain,
    lhs_atom28,
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_125,plain,
    lhs_atom27,
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_126,plain,
    lhs_atom26,
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_127,plain,
    lhs_atom25,
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_128,plain,
    lhs_atom24,
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_129,plain,
    lhs_atom23,
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_130,plain,
    lhs_atom22,
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_131,plain,
    lhs_atom21,
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_132,plain,
    lhs_atom20,
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_133,plain,
    lhs_atom19,
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_134,plain,
    lhs_atom18,
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_135,plain,
    lhs_atom17,
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_136,plain,
    lhs_atom16,
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_137,plain,
    lhs_atom15,
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_138,plain,
    lhs_atom14,
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_139,plain,
    lhs_atom13,
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_140,plain,
    lhs_atom12,
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_141,plain,
    lhs_atom11,
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_142,plain,
    lhs_atom10,
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_143,plain,
    lhs_atom9,
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_144,plain,
    lhs_atom8,
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_145,plain,
    lhs_atom7,
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_146,plain,
    lhs_atom6,
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_147,plain,
    lhs_atom5,
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_148,plain,
    lhs_atom4,
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_149,plain,
    lhs_atom3,
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_150,plain,
    ! [X3,X4] : lhs_atom2(X3,X4),
    inference(variable_rename,[status(thm)],[c_0_75]) ).

fof(c_0_151,plain,
    ! [X3,X4] : lhs_atom1(X3,X4),
    inference(variable_rename,[status(thm)],[c_0_76]) ).

fof(c_0_152,plain,
    lhs_atom75,
    c_0_77 ).

fof(c_0_153,plain,
    lhs_atom74,
    c_0_78 ).

fof(c_0_154,plain,
    lhs_atom73,
    c_0_79 ).

fof(c_0_155,plain,
    lhs_atom72,
    c_0_80 ).

fof(c_0_156,plain,
    lhs_atom71,
    c_0_81 ).

fof(c_0_157,plain,
    lhs_atom70,
    c_0_82 ).

fof(c_0_158,plain,
    lhs_atom69,
    c_0_83 ).

fof(c_0_159,plain,
    lhs_atom68,
    c_0_84 ).

fof(c_0_160,plain,
    lhs_atom67,
    c_0_85 ).

fof(c_0_161,plain,
    lhs_atom66,
    c_0_86 ).

fof(c_0_162,plain,
    lhs_atom65,
    c_0_87 ).

fof(c_0_163,plain,
    lhs_atom64,
    c_0_88 ).

fof(c_0_164,plain,
    lhs_atom63,
    c_0_89 ).

fof(c_0_165,plain,
    lhs_atom62,
    c_0_90 ).

fof(c_0_166,plain,
    lhs_atom61,
    c_0_91 ).

fof(c_0_167,plain,
    lhs_atom60,
    c_0_92 ).

fof(c_0_168,plain,
    lhs_atom59,
    c_0_93 ).

fof(c_0_169,plain,
    lhs_atom58,
    c_0_94 ).

fof(c_0_170,plain,
    lhs_atom57,
    c_0_95 ).

fof(c_0_171,plain,
    lhs_atom56,
    c_0_96 ).

fof(c_0_172,plain,
    lhs_atom55,
    c_0_97 ).

fof(c_0_173,plain,
    lhs_atom54,
    c_0_98 ).

fof(c_0_174,plain,
    lhs_atom53,
    c_0_99 ).

fof(c_0_175,plain,
    lhs_atom52,
    c_0_100 ).

fof(c_0_176,plain,
    lhs_atom51,
    c_0_101 ).

fof(c_0_177,plain,
    lhs_atom50,
    c_0_102 ).

fof(c_0_178,plain,
    lhs_atom49,
    c_0_103 ).

fof(c_0_179,plain,
    lhs_atom48,
    c_0_104 ).

fof(c_0_180,plain,
    lhs_atom47,
    c_0_105 ).

fof(c_0_181,plain,
    lhs_atom46,
    c_0_106 ).

fof(c_0_182,plain,
    lhs_atom45,
    c_0_107 ).

fof(c_0_183,plain,
    lhs_atom44,
    c_0_108 ).

fof(c_0_184,plain,
    lhs_atom43,
    c_0_109 ).

fof(c_0_185,plain,
    lhs_atom42,
    c_0_110 ).

fof(c_0_186,plain,
    lhs_atom41,
    c_0_111 ).

fof(c_0_187,plain,
    lhs_atom40,
    c_0_112 ).

fof(c_0_188,plain,
    lhs_atom39,
    c_0_113 ).

fof(c_0_189,plain,
    lhs_atom38,
    c_0_114 ).

fof(c_0_190,plain,
    lhs_atom37,
    c_0_115 ).

fof(c_0_191,plain,
    lhs_atom36,
    c_0_116 ).

fof(c_0_192,plain,
    lhs_atom35,
    c_0_117 ).

fof(c_0_193,plain,
    lhs_atom34,
    c_0_118 ).

fof(c_0_194,plain,
    lhs_atom33,
    c_0_119 ).

fof(c_0_195,plain,
    lhs_atom32,
    c_0_120 ).

fof(c_0_196,plain,
    lhs_atom31,
    c_0_121 ).

fof(c_0_197,plain,
    lhs_atom30,
    c_0_122 ).

fof(c_0_198,plain,
    lhs_atom29,
    c_0_123 ).

fof(c_0_199,plain,
    lhs_atom28,
    c_0_124 ).

fof(c_0_200,plain,
    lhs_atom27,
    c_0_125 ).

fof(c_0_201,plain,
    lhs_atom26,
    c_0_126 ).

fof(c_0_202,plain,
    lhs_atom25,
    c_0_127 ).

fof(c_0_203,plain,
    lhs_atom24,
    c_0_128 ).

fof(c_0_204,plain,
    lhs_atom23,
    c_0_129 ).

fof(c_0_205,plain,
    lhs_atom22,
    c_0_130 ).

fof(c_0_206,plain,
    lhs_atom21,
    c_0_131 ).

fof(c_0_207,plain,
    lhs_atom20,
    c_0_132 ).

fof(c_0_208,plain,
    lhs_atom19,
    c_0_133 ).

fof(c_0_209,plain,
    lhs_atom18,
    c_0_134 ).

fof(c_0_210,plain,
    lhs_atom17,
    c_0_135 ).

fof(c_0_211,plain,
    lhs_atom16,
    c_0_136 ).

fof(c_0_212,plain,
    lhs_atom15,
    c_0_137 ).

fof(c_0_213,plain,
    lhs_atom14,
    c_0_138 ).

fof(c_0_214,plain,
    lhs_atom13,
    c_0_139 ).

fof(c_0_215,plain,
    lhs_atom12,
    c_0_140 ).

fof(c_0_216,plain,
    lhs_atom11,
    c_0_141 ).

fof(c_0_217,plain,
    lhs_atom10,
    c_0_142 ).

fof(c_0_218,plain,
    lhs_atom9,
    c_0_143 ).

fof(c_0_219,plain,
    lhs_atom8,
    c_0_144 ).

fof(c_0_220,plain,
    lhs_atom7,
    c_0_145 ).

fof(c_0_221,plain,
    lhs_atom6,
    c_0_146 ).

fof(c_0_222,plain,
    lhs_atom5,
    c_0_147 ).

fof(c_0_223,plain,
    lhs_atom4,
    c_0_148 ).

fof(c_0_224,plain,
    lhs_atom3,
    c_0_149 ).

cnf(c_0_225,plain,
    lhs_atom2(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_150]) ).

cnf(c_0_226,plain,
    lhs_atom1(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_151]) ).

cnf(c_0_227,plain,
    lhs_atom75,
    inference(split_conjunct,[status(thm)],[c_0_152]) ).

cnf(c_0_228,plain,
    lhs_atom74,
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_229,plain,
    lhs_atom73,
    inference(split_conjunct,[status(thm)],[c_0_154]) ).

cnf(c_0_230,plain,
    lhs_atom72,
    inference(split_conjunct,[status(thm)],[c_0_155]) ).

cnf(c_0_231,plain,
    lhs_atom71,
    inference(split_conjunct,[status(thm)],[c_0_156]) ).

cnf(c_0_232,plain,
    lhs_atom70,
    inference(split_conjunct,[status(thm)],[c_0_157]) ).

cnf(c_0_233,plain,
    lhs_atom69,
    inference(split_conjunct,[status(thm)],[c_0_158]) ).

cnf(c_0_234,plain,
    lhs_atom68,
    inference(split_conjunct,[status(thm)],[c_0_159]) ).

cnf(c_0_235,plain,
    lhs_atom67,
    inference(split_conjunct,[status(thm)],[c_0_160]) ).

cnf(c_0_236,plain,
    lhs_atom66,
    inference(split_conjunct,[status(thm)],[c_0_161]) ).

cnf(c_0_237,plain,
    lhs_atom65,
    inference(split_conjunct,[status(thm)],[c_0_162]) ).

cnf(c_0_238,plain,
    lhs_atom64,
    inference(split_conjunct,[status(thm)],[c_0_163]) ).

cnf(c_0_239,plain,
    lhs_atom63,
    inference(split_conjunct,[status(thm)],[c_0_164]) ).

cnf(c_0_240,plain,
    lhs_atom62,
    inference(split_conjunct,[status(thm)],[c_0_165]) ).

cnf(c_0_241,plain,
    lhs_atom61,
    inference(split_conjunct,[status(thm)],[c_0_166]) ).

cnf(c_0_242,plain,
    lhs_atom60,
    inference(split_conjunct,[status(thm)],[c_0_167]) ).

cnf(c_0_243,plain,
    lhs_atom59,
    inference(split_conjunct,[status(thm)],[c_0_168]) ).

cnf(c_0_244,plain,
    lhs_atom58,
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_245,plain,
    lhs_atom57,
    inference(split_conjunct,[status(thm)],[c_0_170]) ).

cnf(c_0_246,plain,
    lhs_atom56,
    inference(split_conjunct,[status(thm)],[c_0_171]) ).

cnf(c_0_247,plain,
    lhs_atom55,
    inference(split_conjunct,[status(thm)],[c_0_172]) ).

cnf(c_0_248,plain,
    lhs_atom54,
    inference(split_conjunct,[status(thm)],[c_0_173]) ).

cnf(c_0_249,plain,
    lhs_atom53,
    inference(split_conjunct,[status(thm)],[c_0_174]) ).

cnf(c_0_250,plain,
    lhs_atom52,
    inference(split_conjunct,[status(thm)],[c_0_175]) ).

cnf(c_0_251,plain,
    lhs_atom51,
    inference(split_conjunct,[status(thm)],[c_0_176]) ).

cnf(c_0_252,plain,
    lhs_atom50,
    inference(split_conjunct,[status(thm)],[c_0_177]) ).

cnf(c_0_253,plain,
    lhs_atom49,
    inference(split_conjunct,[status(thm)],[c_0_178]) ).

cnf(c_0_254,plain,
    lhs_atom48,
    inference(split_conjunct,[status(thm)],[c_0_179]) ).

cnf(c_0_255,plain,
    lhs_atom47,
    inference(split_conjunct,[status(thm)],[c_0_180]) ).

cnf(c_0_256,plain,
    lhs_atom46,
    inference(split_conjunct,[status(thm)],[c_0_181]) ).

cnf(c_0_257,plain,
    lhs_atom45,
    inference(split_conjunct,[status(thm)],[c_0_182]) ).

cnf(c_0_258,plain,
    lhs_atom44,
    inference(split_conjunct,[status(thm)],[c_0_183]) ).

cnf(c_0_259,plain,
    lhs_atom43,
    inference(split_conjunct,[status(thm)],[c_0_184]) ).

cnf(c_0_260,plain,
    lhs_atom42,
    inference(split_conjunct,[status(thm)],[c_0_185]) ).

cnf(c_0_261,plain,
    lhs_atom41,
    inference(split_conjunct,[status(thm)],[c_0_186]) ).

cnf(c_0_262,plain,
    lhs_atom40,
    inference(split_conjunct,[status(thm)],[c_0_187]) ).

cnf(c_0_263,plain,
    lhs_atom39,
    inference(split_conjunct,[status(thm)],[c_0_188]) ).

cnf(c_0_264,plain,
    lhs_atom38,
    inference(split_conjunct,[status(thm)],[c_0_189]) ).

cnf(c_0_265,plain,
    lhs_atom37,
    inference(split_conjunct,[status(thm)],[c_0_190]) ).

cnf(c_0_266,plain,
    lhs_atom36,
    inference(split_conjunct,[status(thm)],[c_0_191]) ).

cnf(c_0_267,plain,
    lhs_atom35,
    inference(split_conjunct,[status(thm)],[c_0_192]) ).

cnf(c_0_268,plain,
    lhs_atom34,
    inference(split_conjunct,[status(thm)],[c_0_193]) ).

cnf(c_0_269,plain,
    lhs_atom33,
    inference(split_conjunct,[status(thm)],[c_0_194]) ).

cnf(c_0_270,plain,
    lhs_atom32,
    inference(split_conjunct,[status(thm)],[c_0_195]) ).

cnf(c_0_271,plain,
    lhs_atom31,
    inference(split_conjunct,[status(thm)],[c_0_196]) ).

cnf(c_0_272,plain,
    lhs_atom30,
    inference(split_conjunct,[status(thm)],[c_0_197]) ).

cnf(c_0_273,plain,
    lhs_atom29,
    inference(split_conjunct,[status(thm)],[c_0_198]) ).

cnf(c_0_274,plain,
    lhs_atom28,
    inference(split_conjunct,[status(thm)],[c_0_199]) ).

cnf(c_0_275,plain,
    lhs_atom27,
    inference(split_conjunct,[status(thm)],[c_0_200]) ).

cnf(c_0_276,plain,
    lhs_atom26,
    inference(split_conjunct,[status(thm)],[c_0_201]) ).

cnf(c_0_277,plain,
    lhs_atom25,
    inference(split_conjunct,[status(thm)],[c_0_202]) ).

cnf(c_0_278,plain,
    lhs_atom24,
    inference(split_conjunct,[status(thm)],[c_0_203]) ).

cnf(c_0_279,plain,
    lhs_atom23,
    inference(split_conjunct,[status(thm)],[c_0_204]) ).

cnf(c_0_280,plain,
    lhs_atom22,
    inference(split_conjunct,[status(thm)],[c_0_205]) ).

cnf(c_0_281,plain,
    lhs_atom21,
    inference(split_conjunct,[status(thm)],[c_0_206]) ).

cnf(c_0_282,plain,
    lhs_atom20,
    inference(split_conjunct,[status(thm)],[c_0_207]) ).

cnf(c_0_283,plain,
    lhs_atom19,
    inference(split_conjunct,[status(thm)],[c_0_208]) ).

cnf(c_0_284,plain,
    lhs_atom18,
    inference(split_conjunct,[status(thm)],[c_0_209]) ).

cnf(c_0_285,plain,
    lhs_atom17,
    inference(split_conjunct,[status(thm)],[c_0_210]) ).

cnf(c_0_286,plain,
    lhs_atom16,
    inference(split_conjunct,[status(thm)],[c_0_211]) ).

cnf(c_0_287,plain,
    lhs_atom15,
    inference(split_conjunct,[status(thm)],[c_0_212]) ).

cnf(c_0_288,plain,
    lhs_atom14,
    inference(split_conjunct,[status(thm)],[c_0_213]) ).

cnf(c_0_289,plain,
    lhs_atom13,
    inference(split_conjunct,[status(thm)],[c_0_214]) ).

cnf(c_0_290,plain,
    lhs_atom12,
    inference(split_conjunct,[status(thm)],[c_0_215]) ).

cnf(c_0_291,plain,
    lhs_atom11,
    inference(split_conjunct,[status(thm)],[c_0_216]) ).

cnf(c_0_292,plain,
    lhs_atom10,
    inference(split_conjunct,[status(thm)],[c_0_217]) ).

cnf(c_0_293,plain,
    lhs_atom9,
    inference(split_conjunct,[status(thm)],[c_0_218]) ).

cnf(c_0_294,plain,
    lhs_atom8,
    inference(split_conjunct,[status(thm)],[c_0_219]) ).

cnf(c_0_295,plain,
    lhs_atom7,
    inference(split_conjunct,[status(thm)],[c_0_220]) ).

cnf(c_0_296,plain,
    lhs_atom6,
    inference(split_conjunct,[status(thm)],[c_0_221]) ).

cnf(c_0_297,plain,
    lhs_atom5,
    inference(split_conjunct,[status(thm)],[c_0_222]) ).

cnf(c_0_298,plain,
    lhs_atom4,
    inference(split_conjunct,[status(thm)],[c_0_223]) ).

cnf(c_0_299,plain,
    lhs_atom3,
    inference(split_conjunct,[status(thm)],[c_0_224]) ).

cnf(c_0_300,plain,
    lhs_atom2(X1,X2),
    c_0_225,
    [final] ).

cnf(c_0_301,plain,
    lhs_atom1(X1,X2),
    c_0_226,
    [final] ).

cnf(c_0_302,plain,
    lhs_atom75,
    c_0_227,
    [final] ).

cnf(c_0_303,plain,
    lhs_atom74,
    c_0_228,
    [final] ).

cnf(c_0_304,plain,
    lhs_atom73,
    c_0_229,
    [final] ).

cnf(c_0_305,plain,
    lhs_atom72,
    c_0_230,
    [final] ).

cnf(c_0_306,plain,
    lhs_atom71,
    c_0_231,
    [final] ).

cnf(c_0_307,plain,
    lhs_atom70,
    c_0_232,
    [final] ).

cnf(c_0_308,plain,
    lhs_atom69,
    c_0_233,
    [final] ).

cnf(c_0_309,plain,
    lhs_atom68,
    c_0_234,
    [final] ).

cnf(c_0_310,plain,
    lhs_atom67,
    c_0_235,
    [final] ).

cnf(c_0_311,plain,
    lhs_atom66,
    c_0_236,
    [final] ).

cnf(c_0_312,plain,
    lhs_atom65,
    c_0_237,
    [final] ).

cnf(c_0_313,plain,
    lhs_atom64,
    c_0_238,
    [final] ).

cnf(c_0_314,plain,
    lhs_atom63,
    c_0_239,
    [final] ).

cnf(c_0_315,plain,
    lhs_atom62,
    c_0_240,
    [final] ).

cnf(c_0_316,plain,
    lhs_atom61,
    c_0_241,
    [final] ).

cnf(c_0_317,plain,
    lhs_atom60,
    c_0_242,
    [final] ).

cnf(c_0_318,plain,
    lhs_atom59,
    c_0_243,
    [final] ).

cnf(c_0_319,plain,
    lhs_atom58,
    c_0_244,
    [final] ).

cnf(c_0_320,plain,
    lhs_atom57,
    c_0_245,
    [final] ).

cnf(c_0_321,plain,
    lhs_atom56,
    c_0_246,
    [final] ).

cnf(c_0_322,plain,
    lhs_atom55,
    c_0_247,
    [final] ).

cnf(c_0_323,plain,
    lhs_atom54,
    c_0_248,
    [final] ).

cnf(c_0_324,plain,
    lhs_atom53,
    c_0_249,
    [final] ).

cnf(c_0_325,plain,
    lhs_atom52,
    c_0_250,
    [final] ).

cnf(c_0_326,plain,
    lhs_atom51,
    c_0_251,
    [final] ).

cnf(c_0_327,plain,
    lhs_atom50,
    c_0_252,
    [final] ).

cnf(c_0_328,plain,
    lhs_atom49,
    c_0_253,
    [final] ).

cnf(c_0_329,plain,
    lhs_atom48,
    c_0_254,
    [final] ).

cnf(c_0_330,plain,
    lhs_atom47,
    c_0_255,
    [final] ).

cnf(c_0_331,plain,
    lhs_atom46,
    c_0_256,
    [final] ).

cnf(c_0_332,plain,
    lhs_atom45,
    c_0_257,
    [final] ).

cnf(c_0_333,plain,
    lhs_atom44,
    c_0_258,
    [final] ).

cnf(c_0_334,plain,
    lhs_atom43,
    c_0_259,
    [final] ).

cnf(c_0_335,plain,
    lhs_atom42,
    c_0_260,
    [final] ).

cnf(c_0_336,plain,
    lhs_atom41,
    c_0_261,
    [final] ).

cnf(c_0_337,plain,
    lhs_atom40,
    c_0_262,
    [final] ).

cnf(c_0_338,plain,
    lhs_atom39,
    c_0_263,
    [final] ).

cnf(c_0_339,plain,
    lhs_atom38,
    c_0_264,
    [final] ).

cnf(c_0_340,plain,
    lhs_atom37,
    c_0_265,
    [final] ).

cnf(c_0_341,plain,
    lhs_atom36,
    c_0_266,
    [final] ).

cnf(c_0_342,plain,
    lhs_atom35,
    c_0_267,
    [final] ).

cnf(c_0_343,plain,
    lhs_atom34,
    c_0_268,
    [final] ).

cnf(c_0_344,plain,
    lhs_atom33,
    c_0_269,
    [final] ).

cnf(c_0_345,plain,
    lhs_atom32,
    c_0_270,
    [final] ).

cnf(c_0_346,plain,
    lhs_atom31,
    c_0_271,
    [final] ).

cnf(c_0_347,plain,
    lhs_atom30,
    c_0_272,
    [final] ).

cnf(c_0_348,plain,
    lhs_atom29,
    c_0_273,
    [final] ).

cnf(c_0_349,plain,
    lhs_atom28,
    c_0_274,
    [final] ).

cnf(c_0_350,plain,
    lhs_atom27,
    c_0_275,
    [final] ).

cnf(c_0_351,plain,
    lhs_atom26,
    c_0_276,
    [final] ).

cnf(c_0_352,plain,
    lhs_atom25,
    c_0_277,
    [final] ).

cnf(c_0_353,plain,
    lhs_atom24,
    c_0_278,
    [final] ).

cnf(c_0_354,plain,
    lhs_atom23,
    c_0_279,
    [final] ).

cnf(c_0_355,plain,
    lhs_atom22,
    c_0_280,
    [final] ).

cnf(c_0_356,plain,
    lhs_atom21,
    c_0_281,
    [final] ).

cnf(c_0_357,plain,
    lhs_atom20,
    c_0_282,
    [final] ).

cnf(c_0_358,plain,
    lhs_atom19,
    c_0_283,
    [final] ).

cnf(c_0_359,plain,
    lhs_atom18,
    c_0_284,
    [final] ).

cnf(c_0_360,plain,
    lhs_atom17,
    c_0_285,
    [final] ).

cnf(c_0_361,plain,
    lhs_atom16,
    c_0_286,
    [final] ).

cnf(c_0_362,plain,
    lhs_atom15,
    c_0_287,
    [final] ).

cnf(c_0_363,plain,
    lhs_atom14,
    c_0_288,
    [final] ).

cnf(c_0_364,plain,
    lhs_atom13,
    c_0_289,
    [final] ).

cnf(c_0_365,plain,
    lhs_atom12,
    c_0_290,
    [final] ).

cnf(c_0_366,plain,
    lhs_atom11,
    c_0_291,
    [final] ).

cnf(c_0_367,plain,
    lhs_atom10,
    c_0_292,
    [final] ).

cnf(c_0_368,plain,
    lhs_atom9,
    c_0_293,
    [final] ).

cnf(c_0_369,plain,
    lhs_atom8,
    c_0_294,
    [final] ).

cnf(c_0_370,plain,
    lhs_atom7,
    c_0_295,
    [final] ).

cnf(c_0_371,plain,
    lhs_atom6,
    c_0_296,
    [final] ).

cnf(c_0_372,plain,
    lhs_atom5,
    c_0_297,
    [final] ).

cnf(c_0_373,plain,
    lhs_atom4,
    c_0_298,
    [final] ).

cnf(c_0_374,plain,
    lhs_atom3,
    c_0_299,
    [final] ).

% End CNF derivation
cnf(c_0_300_0,axiom,
    c_HOL_Oinverse__class_Odivide(X2,X1,tc_Rational_Orat) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Oinverse__class_Oinverse(X1,tc_Rational_Orat),tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_300,def_lhs_atom2]) ).

cnf(c_0_301_0,axiom,
    c_HOL_Ominus__class_Ominus(X2,X1,tc_Rational_Orat) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_Rational_Orat),tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_301,def_lhs_atom1]) ).

cnf(c_0_302_0,axiom,
    class_Power_Opower(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_302,def_lhs_atom75]) ).

cnf(c_0_303_0,axiom,
    class_Int_Onumber__ring(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_303,def_lhs_atom74]) ).

cnf(c_0_304_0,axiom,
    class_Ring__and__Field_Odvd(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_304,def_lhs_atom73]) ).

cnf(c_0_305_0,axiom,
    class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_305,def_lhs_atom72]) ).

cnf(c_0_306_0,axiom,
    class_Ring__and__Field_Oring(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_306,def_lhs_atom71]) ).

cnf(c_0_307_0,axiom,
    class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_307,def_lhs_atom70]) ).

cnf(c_0_308_0,axiom,
    class_RealVector_Oreal__field(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_308,def_lhs_atom69]) ).

cnf(c_0_309_0,axiom,
    class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_309,def_lhs_atom68]) ).

cnf(c_0_310_0,axiom,
    class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_310,def_lhs_atom67]) ).

cnf(c_0_311_0,axiom,
    class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_311,def_lhs_atom66]) ).

cnf(c_0_312_0,axiom,
    class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_312,def_lhs_atom65]) ).

cnf(c_0_313_0,axiom,
    class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_313,def_lhs_atom64]) ).

cnf(c_0_314_0,axiom,
    class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_314,def_lhs_atom63]) ).

cnf(c_0_315_0,axiom,
    class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_315,def_lhs_atom62]) ).

cnf(c_0_316_0,axiom,
    class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_316,def_lhs_atom61]) ).

cnf(c_0_317_0,axiom,
    class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_317,def_lhs_atom60]) ).

cnf(c_0_318_0,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_318,def_lhs_atom59]) ).

cnf(c_0_319_0,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_319,def_lhs_atom58]) ).

cnf(c_0_320_0,axiom,
    class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_320,def_lhs_atom57]) ).

cnf(c_0_321_0,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_321,def_lhs_atom56]) ).

cnf(c_0_322_0,axiom,
    class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_322,def_lhs_atom55]) ).

cnf(c_0_323_0,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_323,def_lhs_atom54]) ).

cnf(c_0_324_0,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_324,def_lhs_atom53]) ).

cnf(c_0_325_0,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_325,def_lhs_atom52]) ).

cnf(c_0_326_0,axiom,
    class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_326,def_lhs_atom51]) ).

cnf(c_0_327_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_327,def_lhs_atom50]) ).

cnf(c_0_328_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_328,def_lhs_atom49]) ).

cnf(c_0_329_0,axiom,
    class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_329,def_lhs_atom48]) ).

cnf(c_0_330_0,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_330,def_lhs_atom47]) ).

cnf(c_0_331_0,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_331,def_lhs_atom46]) ).

cnf(c_0_332_0,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_332,def_lhs_atom45]) ).

cnf(c_0_333_0,axiom,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_333,def_lhs_atom44]) ).

cnf(c_0_334_0,axiom,
    class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_334,def_lhs_atom43]) ).

cnf(c_0_335_0,axiom,
    class_Power_Opower(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_335,def_lhs_atom42]) ).

cnf(c_0_336_0,axiom,
    class_Int_Onumber__ring(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_336,def_lhs_atom41]) ).

cnf(c_0_337_0,axiom,
    class_Ring__and__Field_Odvd(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_337,def_lhs_atom40]) ).

cnf(c_0_338_0,axiom,
    class_Ring__and__Field_Oidom(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_338,def_lhs_atom39]) ).

cnf(c_0_339_0,axiom,
    class_Ring__and__Field_Oring(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_339,def_lhs_atom38]) ).

cnf(c_0_340_0,axiom,
    class_Ring__and__Field_Ofield(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_340,def_lhs_atom37]) ).

cnf(c_0_341_0,axiom,
    class_Ring__and__Field_Oring__1(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_341,def_lhs_atom36]) ).

cnf(c_0_342_0,axiom,
    class_OrderedGroup_Ogroup__add(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_342,def_lhs_atom35]) ).

cnf(c_0_343_0,axiom,
    class_OrderedGroup_Omonoid__add(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_343,def_lhs_atom34]) ).

cnf(c_0_344_0,axiom,
    class_Ring__and__Field_Osemiring(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_344,def_lhs_atom33]) ).

cnf(c_0_345_0,axiom,
    class_OrderedGroup_Omonoid__mult(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_345,def_lhs_atom32]) ).

cnf(c_0_346_0,axiom,
    class_Ring__and__Field_Ocomm__ring(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_346,def_lhs_atom31]) ).

cnf(c_0_347_0,axiom,
    class_Ring__and__Field_Omult__zero(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_347,def_lhs_atom30]) ).

cnf(c_0_348_0,axiom,
    class_OrderedGroup_Oab__group__add(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_348,def_lhs_atom29]) ).

cnf(c_0_349_0,axiom,
    class_Ring__and__Field_Ocomm__ring__1(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_349,def_lhs_atom28]) ).

cnf(c_0_350_0,axiom,
    class_Ring__and__Field_Oordered__idom(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_350,def_lhs_atom27]) ).

cnf(c_0_351_0,axiom,
    class_Ring__and__Field_Ozero__neq__one(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_351,def_lhs_atom26]) ).

cnf(c_0_352_0,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_352,def_lhs_atom25]) ).

cnf(c_0_353_0,axiom,
    class_Ring__and__Field_Ocomm__semiring(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_353,def_lhs_atom24]) ).

cnf(c_0_354_0,axiom,
    class_Ring__and__Field_Odivision__ring(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_354,def_lhs_atom23]) ).

cnf(c_0_355_0,axiom,
    class_Ring__and__Field_Oordered__field(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_355,def_lhs_atom22]) ).

cnf(c_0_356_0,axiom,
    class_OrderedGroup_Oab__semigroup__add(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_356,def_lhs_atom21]) ).

cnf(c_0_357_0,axiom,
    class_OrderedGroup_Ocomm__monoid__mult(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_357,def_lhs_atom20]) ).

cnf(c_0_358_0,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_358,def_lhs_atom19]) ).

cnf(c_0_359_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_359,def_lhs_atom18]) ).

cnf(c_0_360_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_360,def_lhs_atom17]) ).

cnf(c_0_361_0,axiom,
    class_Ring__and__Field_Odivision__by__zero(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_361,def_lhs_atom16]) ).

cnf(c_0_362_0,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_362,def_lhs_atom15]) ).

cnf(c_0_363_0,axiom,
    class_OrderedGroup_Ocancel__semigroup__add(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_363,def_lhs_atom14]) ).

cnf(c_0_364_0,axiom,
    class_OrderedGroup_Oordered__ab__group__add(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_364,def_lhs_atom13]) ).

cnf(c_0_365_0,axiom,
    class_Ring__and__Field_Oordered__ring__strict(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_365,def_lhs_atom12]) ).

cnf(c_0_366_0,axiom,
    class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_366,def_lhs_atom11]) ).

cnf(c_0_367_0,axiom,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_367,def_lhs_atom10]) ).

cnf(c_0_368_0,axiom,
    class_OrderedGroup_Opordered__ab__group__add__abs(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_368,def_lhs_atom9]) ).

cnf(c_0_369_0,axiom,
    class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_369,def_lhs_atom8]) ).

cnf(c_0_370_0,axiom,
    class_OrderedGroup_Ocancel__comm__monoid__add(tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_370,def_lhs_atom7]) ).

cnf(c_0_371_0,axiom,
    class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_371,def_lhs_atom6]) ).

cnf(c_0_372_0,axiom,
    c_HOL_Oinverse__class_Odivide(v_q,v_r,tc_Rational_Orat) = c_HOL_Otimes__class_Otimes(v_q,c_HOL_Oinverse__class_Oinverse(v_r,tc_Rational_Orat),tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_372,def_lhs_atom5]) ).

cnf(c_0_373_0,axiom,
    c_HOL_Ominus__class_Ominus(v_q,v_r,tc_Rational_Orat) = c_HOL_Oplus__class_Oplus(v_q,c_HOL_Ouminus__class_Ouminus(v_r,tc_Rational_Orat),tc_Rational_Orat),
    inference(unfold_definition,[status(thm)],[c_0_373,def_lhs_atom4]) ).

cnf(c_0_374_0,axiom,
    c_Ring__and__Field_Odvd__class_Odvd(v_p,v_p_H,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    inference(unfold_definition,[status(thm)],[c_0_374,def_lhs_atom3]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X2,X3,X10,X8,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X2,X5),c_HOL_Otimes__class_Otimes(X8,X10,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X8,X5),c_HOL_Ominus__class_Ominus(X2,X10,X5),X5),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X8,X5),X10,X5),X5),c_HOL_Otimes__class_Otimes(X8,c_HOL_Ominus__class_Ominus(X2,X10,X5),X5),X5) ),
    file('<stdin>',cls_mult_Oprod__diff__prod_0) ).

fof(c_0_1_002,axiom,
    ! [X20,X14,X13,X10,X8,X5] :
      ( ~ class_RealVector_Oreal__field(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X8,X10,X5),c_HOL_Otimes__class_Otimes(X13,X14,X5),X5),X20,X5) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X10,X14,X5),X20,X5),X5),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X8,X13,X5),X20,X5),X14,X5),X5) ),
    file('<stdin>',cls_DERIV__mult__lemma_0) ).

fof(c_0_2_003,axiom,
    ! [X20,X10,X8,X5] :
      ( ~ class_RealVector_Oreal__normed__field(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X8,X5),c_HOL_Oinverse__class_Oinverse(X10,X5),X5),X20,X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X8,X5),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X8,X10,X5),X20,X5),X5),c_HOL_Oinverse__class_Oinverse(X10,X5),X5),X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_DERIV__inverse__lemma_0) ).

fof(c_0_3_004,axiom,
    ! [X3,X30,X9,X14,X31,X5] :
      ( ~ class_Ring__and__Field_Odvd(X5)
      | ~ class_Ring__and__Field_Ocomm__ring(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X14,c_HOL_Oplus__class_Oplus(X3,X30,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X14,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X3,c_HOL_Otimes__class_Otimes(X9,X31,X5),X5),X30,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X14,X31,X5) ),
    file('<stdin>',cls_inf__period_I4_J_1) ).

fof(c_0_4_005,axiom,
    ! [X3,X30,X9,X14,X31,X5] :
      ( ~ class_Ring__and__Field_Odvd(X5)
      | ~ class_Ring__and__Field_Ocomm__ring(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X14,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X3,c_HOL_Otimes__class_Otimes(X9,X31,X5),X5),X30,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X14,c_HOL_Oplus__class_Oplus(X3,X30,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X14,X31,X5) ),
    file('<stdin>',cls_inf__period_I4_J_0) ).

fof(c_0_5_006,axiom,
    ! [X19,X14,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oring(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X19,X5),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X10,X8,X5),X19,X5),X14,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X19,X5),X14,X5) ),
    file('<stdin>',cls_eq__add__iff2_1) ).

fof(c_0_6_007,axiom,
    ! [X19,X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oring(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X19,X5),X13,X5) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X19,X5),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X8,X10,X5),X19,X5),X13,X5),X5) ),
    file('<stdin>',cls_eq__add__iff1_1) ).

fof(c_0_7_008,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X8,X10,X5),X10,X5),c_Divides_Odiv__class_Omod(X8,X10,X5),X5),X13,X5) = c_HOL_Oplus__class_Oplus(X8,X13,X5) ),
    file('<stdin>',cls_div__mod__equality_0) ).

fof(c_0_8_009,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,c_Divides_Odiv__class_Odiv(X8,X10,X5),X5),c_Divides_Odiv__class_Omod(X8,X10,X5),X5),X13,X5) = c_HOL_Oplus__class_Oplus(X8,X13,X5) ),
    file('<stdin>',cls_div__mod__equality2_0) ).

fof(c_0_9_010,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X8,X5),c_HOL_Oinverse__class_Oinverse(X10,X5),X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X8,X5),c_HOL_Ominus__class_Ominus(X8,X10,X5),X5),c_HOL_Oinverse__class_Oinverse(X10,X5),X5),X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_Deriv_Oinverse__diff__inverse_0) ).

fof(c_0_10_011,axiom,
    ! [X12,X2,X3,X16,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,X2,X5),c_HOL_Oinverse__class_Odivide(X16,X12,X5),X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X12,X5),c_HOL_Otimes__class_Otimes(X16,X2,X5),X5),c_HOL_Otimes__class_Otimes(X2,X12,X5),X5)
      | X12 = c_HOL_Ozero__class_Ozero(X5)
      | X2 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_diff__frac__eq_0) ).

fof(c_0_11_012,axiom,
    ! [X12,X2,X3,X16,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X2,X5),c_HOL_Oinverse__class_Odivide(X16,X12,X5),X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X12,X5),c_HOL_Otimes__class_Otimes(X16,X2,X5),X5),c_HOL_Otimes__class_Otimes(X2,X12,X5),X5)
      | X12 = c_HOL_Ozero__class_Ozero(X5)
      | X2 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_add__frac__eq_0) ).

fof(c_0_12_013,axiom,
    ! [X19,X14,X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oring(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X19,X5),X13,X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X19,X5),X14,X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X8,X10,X5),X19,X5),X13,X5) = X14 ),
    file('<stdin>',cls_eq__add__iff1_0) ).

fof(c_0_13_014,axiom,
    ! [X19,X14,X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oring(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X19,X5),X13,X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X19,X5),X14,X5)
      | X13 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X10,X8,X5),X19,X5),X14,X5) ),
    file('<stdin>',cls_eq__add__iff2_0) ).

fof(c_0_14_015,axiom,
    ! [X19,X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Osemiring(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X19,X5),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X19,X5),X13,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X8,X10,X5),X19,X5),X13,X5) ),
    file('<stdin>',cls_combine__common__factor_0) ).

fof(c_0_15_016,axiom,
    ! [X14,X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | ~ class_Int_Onumber__ring(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X13,X5),c_HOL_Otimes__class_Otimes(X10,X14,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X14,X5),c_HOL_Otimes__class_Otimes(X10,X13,X5),X5)
      | X13 = X14
      | X8 = X10 ),
    file('<stdin>',cls_class__ringb_Onoteq__reduce_0) ).

fof(c_0_16_017,axiom,
    ! [X12,X2,X3,X16,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | ~ class_Int_Onumber__ring(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X16,X2,X5),c_HOL_Otimes__class_Otimes(X3,X12,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X16,X12,X5),c_HOL_Otimes__class_Otimes(X3,X2,X5),X5)
      | X2 = X12
      | X16 = X3 ),
    file('<stdin>',cls_class__ringb_Oadd__mul__solve_0) ).

fof(c_0_17_018,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Oring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X8,X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X8,X13,X5),c_Divides_Odiv__class_Omod(X10,X13,X5),X5),X13,X5) ),
    file('<stdin>',cls_mod__diff__eq_0) ).

fof(c_0_18_019,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X8,X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X8,X13,X5),c_Divides_Odiv__class_Omod(X10,X13,X5),X5),X13,X5) ),
    file('<stdin>',cls_mod__add__eq_0) ).

fof(c_0_19_020,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X8,X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X8,X13,X5),c_Divides_Odiv__class_Omod(X10,X13,X5),X5),X13,X5) ),
    file('<stdin>',cls_mod__mult__eq_0) ).

fof(c_0_20_021,axiom,
    ! [X12,X2,X3,X16,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X3,X2,X5),c_Divides_Odiv__class_Odiv(X16,X12,X5),X5) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X16,X5),c_HOL_Otimes__class_Otimes(X2,X12,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X12,X16,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X5) ),
    file('<stdin>',cls_div__mult__div__if__dvd_0) ).

fof(c_0_21_022,axiom,
    ! [X13,X17,X10,X18,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(X10,X13,X5) != c_Divides_Odiv__class_Omod(X17,X13,X5)
      | c_Divides_Odiv__class_Omod(X8,X13,X5) != c_Divides_Odiv__class_Omod(X18,X13,X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X8,X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X18,X17,X5),X13,X5) ),
    file('<stdin>',cls_mod__add__cong_0) ).

fof(c_0_22_023,axiom,
    ! [X13,X17,X10,X18,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(X10,X13,X5) != c_Divides_Odiv__class_Omod(X17,X13,X5)
      | c_Divides_Odiv__class_Omod(X8,X13,X5) != c_Divides_Odiv__class_Omod(X18,X13,X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X8,X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X18,X17,X5),X13,X5) ),
    file('<stdin>',cls_mod__mult__cong_0) ).

fof(c_0_23_024,axiom,
    ! [X13,X17,X10,X18,X8,X5] :
      ( ~ class_Divides_Oring__div(X5)
      | c_Divides_Odiv__class_Omod(X10,X13,X5) != c_Divides_Odiv__class_Omod(X17,X13,X5)
      | c_Divides_Odiv__class_Omod(X8,X13,X5) != c_Divides_Odiv__class_Omod(X18,X13,X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X8,X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X18,X17,X5),X13,X5) ),
    file('<stdin>',cls_mod__diff__cong_0) ).

fof(c_0_24_025,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X10,X13,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X10,X8,X5),c_Divides_Odiv__class_Odiv(X13,X8,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X13,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5) ),
    file('<stdin>',cls_div__dvd__div_0) ).

fof(c_0_25_026,axiom,
    ! [X26,X27,X29,X28,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X28,X29,X5),c_HOL_Otimes__class_Otimes(X27,X26,X5),X5) = c_HOL_Otimes__class_Otimes(X27,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X28,X29,X5),X26,X5),X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I15_J_0) ).

fof(c_0_26_027,axiom,
    ! [X26,X27,X29,X28,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X28,X29,X5),c_HOL_Otimes__class_Otimes(X27,X26,X5),X5) = c_HOL_Otimes__class_Otimes(X28,c_HOL_Otimes__class_Otimes(X29,c_HOL_Otimes__class_Otimes(X27,X26,X5),X5),X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I14_J_0) ).

fof(c_0_27_028,axiom,
    ! [X12,X2,X3,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X2,X5),X12,X5) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X12,X5),c_Divides_Odiv__class_Odiv(X2,X12,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X12,X2,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X12,X3,X5) ),
    file('<stdin>',cls_div__add_0) ).

fof(c_0_28_029,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X8,X5),c_HOL_Oinverse__class_Oinverse(X10,X5),X5) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X8,X10,X5),c_HOL_Oinverse__class_Oinverse(X8,X5),X5),c_HOL_Oinverse__class_Oinverse(X10,X5),X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_inverse__add_0) ).

fof(c_0_29_030,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X8,X5),c_HOL_Oinverse__class_Oinverse(X10,X5),X5) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X8,X5),c_HOL_Oplus__class_Oplus(X8,X10,X5),X5),c_HOL_Oinverse__class_Oinverse(X10,X5),X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_division__ring__inverse__add_0) ).

fof(c_0_30_031,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X8,X5),c_HOL_Oinverse__class_Oinverse(X10,X5),X5) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X8,X5),c_HOL_Ominus__class_Ominus(X10,X8,X5),X5),c_HOL_Oinverse__class_Oinverse(X10,X5),X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_division__ring__inverse__diff_0) ).

fof(c_0_31_032,axiom,
    ! [X12,X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X2,X5),X12,X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X12,X2,X5),X5),X2,X5)
      | X2 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_add__frac__num_0) ).

fof(c_0_32_033,axiom,
    ! [X12,X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oplus__class_Oplus(X12,c_HOL_Oinverse__class_Odivide(X3,X2,X5),X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X12,X2,X5),X5),X2,X5)
      | X2 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_add__num__frac_0) ).

fof(c_0_33_034,axiom,
    ! [X12,X2,X3,X16,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X2,X5),c_HOL_Oinverse__class_Odivide(X12,X16,X5),X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X12,X5),c_HOL_Otimes__class_Otimes(X2,X16,X5),X5) ),
    file('<stdin>',cls_mult__frac__frac_0) ).

fof(c_0_34_035,axiom,
    ! [X12,X2,X3,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | ~ class_Int_Onumber__ring(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X5),c_HOL_Otimes__class_Otimes(X3,X12,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X12,X5),c_HOL_Otimes__class_Otimes(X3,X2,X5),X5) ),
    file('<stdin>',cls_class__ringb_Oadd__mul__solve_1) ).

fof(c_0_35_036,axiom,
    ! [X3,X14,X13,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | ~ class_Int_Onumber__ring(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X13,X5),c_HOL_Otimes__class_Otimes(X3,X14,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X14,X5),c_HOL_Otimes__class_Otimes(X3,X13,X5),X5) ),
    file('<stdin>',cls_class__ringb_Onoteq__reduce_1) ).

fof(c_0_36_037,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X8,c_HOL_Otimes__class_Otimes(X13,X10,X5),X5),X10,X5) = c_HOL_Oplus__class_Oplus(X13,c_Divides_Odiv__class_Odiv(X8,X10,X5),X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_div__mult__self1_0) ).

fof(c_0_37_038,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X8,c_HOL_Otimes__class_Otimes(X10,X13,X5),X5),X10,X5) = c_HOL_Oplus__class_Oplus(X13,c_Divides_Odiv__class_Odiv(X8,X10,X5),X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_div__mult__self2_0) ).

fof(c_0_38_039,axiom,
    ! [X26,X27,X29,X28,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X28,X29,X5),c_HOL_Otimes__class_Otimes(X27,X26,X5),X5) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X28,X27,X5),c_HOL_Otimes__class_Otimes(X29,X26,X5),X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I13_J_0) ).

fof(c_0_39_040,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X8,c_Divides_Odiv__class_Omod(X10,X13,X5),X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X8,X10,X5),X13,X5) ),
    file('<stdin>',cls_zmod__simps_I2_J_0) ).

fof(c_0_40_041,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X8,X13,X5),X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X8,X10,X5),X13,X5) ),
    file('<stdin>',cls_zmod__simps_I1_J_0) ).

fof(c_0_41_042,axiom,
    ! [X14,X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X8,X10,X5),c_HOL_Oplus__class_Oplus(X13,X14,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X8,X13,X5),c_HOL_Oplus__class_Oplus(X10,X14,X5),X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I20_J_0) ).

fof(c_0_42_043,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X8,X13,X5),X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X8,X10,X5),X13,X5) ),
    file('<stdin>',cls_zmod__simps_I4_J_0) ).

fof(c_0_43_044,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X8,X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X8,c_Divides_Odiv__class_Omod(X10,X13,X5),X5),X13,X5) ),
    file('<stdin>',cls_mod__add__right__eq_0) ).

fof(c_0_44_045,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X8,X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X8,X13,X5),X10,X5),X13,X5) ),
    file('<stdin>',cls_mod__add__left__eq_0) ).

fof(c_0_45_046,axiom,
    ! [X14,X13,X10,X8,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X8,X13,X5),c_HOL_Oplus__class_Oplus(X10,X14,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X8,X10,X5),c_HOL_Ominus__class_Ominus(X13,X14,X5),X5) ),
    file('<stdin>',cls_Deriv_Oadd__diff__add_0) ).

fof(c_0_46_047,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X8,X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X8,c_Divides_Odiv__class_Omod(X10,X13,X5),X5),X13,X5) ),
    file('<stdin>',cls_mod__mult__right__eq_0) ).

fof(c_0_47_048,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X8,X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X8,X13,X5),X10,X5),X13,X5) ),
    file('<stdin>',cls_mod__mult__left__eq_0) ).

fof(c_0_48_049,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Oring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X8,X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X8,X13,X5),X10,X5),X13,X5) ),
    file('<stdin>',cls_mod__diff__left__eq_0) ).

fof(c_0_49_050,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Oring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X8,X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X8,c_Divides_Odiv__class_Omod(X10,X13,X5),X5),X13,X5) ),
    file('<stdin>',cls_mod__diff__right__eq_0) ).

fof(c_0_50_051,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X10,X8,X5),c_Divides_Odiv__class_Odiv(X13,X8,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X10,X13,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X13,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5) ),
    file('<stdin>',cls_div__dvd__div_1) ).

fof(c_0_51_052,axiom,
    ! [X3,X32,X14,X13,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | ~ class_Int_Onumber__ring(X5)
      | c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X32,X13,X5),X5) != c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X32,X14,X5),X5)
      | X13 = X14
      | X32 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_class__ringb_Oadd__scale__eq__noteq_0) ).

fof(c_0_52_053,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X3,X2,X5),X4,X5) = c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X3,X4,X5),c_Power_Opower__class_Opower(X2,X4,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X5) ),
    file('<stdin>',cls_div__power_0) ).

fof(c_0_53_054,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | X8 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X8,X10,X5),X10,X5),c_Divides_Odiv__class_Omod(X8,X10,X5),X5) ),
    file('<stdin>',cls_mod__div__decomp_0) ).

fof(c_0_54_055,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X8,X10,X5),X10,X5),c_Divides_Odiv__class_Omod(X8,X10,X5),X5) = X8 ),
    file('<stdin>',cls_mod__div__equality_0) ).

fof(c_0_55_056,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,c_Divides_Odiv__class_Odiv(X8,X10,X5),X5),c_Divides_Odiv__class_Omod(X8,X10,X5),X5) = X8 ),
    file('<stdin>',cls_mod__div__equality2_0) ).

fof(c_0_56_057,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X8,X10,X5),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X8,X10,X5),X10,X5),X5) = X8 ),
    file('<stdin>',cls_semiring__div__class_Omod__div__equality_H_0) ).

fof(c_0_57_058,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5)
      | X13 = c_HOL_Ozero__class_Ozero(X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X8,X13,X5),c_HOL_Otimes__class_Otimes(X10,X13,X5),X5) ),
    file('<stdin>',cls_dvd__mult__cancel__right_0) ).

fof(c_0_58_059,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5)
      | X13 = c_HOL_Ozero__class_Ozero(X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X13,X8,X5),c_HOL_Otimes__class_Otimes(X13,X10,X5),X5) ),
    file('<stdin>',cls_dvd__mult__cancel__left_0) ).

fof(c_0_59_060,axiom,
    ! [X14,X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X8,X13,X5),c_HOL_Otimes__class_Otimes(X10,X14,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X13,X14,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5) ),
    file('<stdin>',cls_mult__dvd__mono_0) ).

fof(c_0_60_061,axiom,
    ! [X4,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X8,X10,X5),X4,X5) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X8,X4,X5),c_Power_Opower__class_Opower(X10,X4,X5),X5) ),
    file('<stdin>',cls_power__divide_0) ).

fof(c_0_61_062,axiom,
    ! [X4,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X8,X10,X5),X4,X5) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X8,X4,X5),c_Power_Opower__class_Opower(X10,X4,X5),X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_nonzero__power__divide_0) ).

fof(c_0_62_063,axiom,
    ! [X2,X3,X5] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X5),c_HOL_Otimes__class_Otimes(X2,X2,X5),X5) != c_HOL_Ozero__class_Ozero(X5)
      | X3 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_sum__squares__eq__zero__iff_0) ).

fof(c_0_63_064,axiom,
    ! [X2,X3,X5] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X5),c_HOL_Otimes__class_Otimes(X2,X2,X5),X5) != c_HOL_Ozero__class_Ozero(X5)
      | X2 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_sum__squares__eq__zero__iff_1) ).

fof(c_0_64_065,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X8,X10,X5),X13,X5) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X8,X13,X5),c_HOL_Oinverse__class_Odivide(X10,X13,X5),X5) ),
    file('<stdin>',cls_diff__divide__distrib_0) ).

fof(c_0_65_066,axiom,
    ! [X22,X2,X3,X5] :
      ( ~ class_RealVector_Oreal__normed__field(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X3,X2,X5),X22,X5) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,X22,X5),c_HOL_Oinverse__class_Odivide(X2,X22,X5),X5) ),
    file('<stdin>',cls_divide_Odiff_0) ).

fof(c_0_66_067,axiom,
    ! [X2,X3,X6,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X3,X2,X5),X6,X5) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X3,X6,X5),c_Power_Opower__class_Opower(X2,X6,X5),X5) ),
    file('<stdin>',cls_class__semiring_Opwr__mul_0) ).

fof(c_0_67_068,axiom,
    ! [X4,X10,X8,X5] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X5)
      | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X8,X10,X5),X4,X5) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X8,X4,X5),c_Power_Opower__class_Opower(X10,X4,X5),X5) ),
    file('<stdin>',cls_power__mult__distrib_0) ).

fof(c_0_68_069,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X8,X10,X5),X13,X5) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X13,X5),c_HOL_Otimes__class_Otimes(X10,X13,X5),X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I8_J_0) ).

fof(c_0_69_070,axiom,
    ! [X2,X23,X3,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(X23,c_HOL_Oplus__class_Oplus(X3,X2,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X23,X3,X5),c_HOL_Otimes__class_Otimes(X23,X2,X5),X5) ),
    file('<stdin>',cls_mult__right_Oadd_0) ).

fof(c_0_70_071,axiom,
    ! [X17,X10,X8,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(X8,c_HOL_Oplus__class_Oplus(X10,X17,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X10,X5),c_HOL_Otimes__class_Otimes(X8,X17,X5),X5) ),
    file('<stdin>',cls_mult_Oadd__right_0) ).

fof(c_0_71_072,axiom,
    ! [X22,X2,X3,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X2,X5),X22,X5) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X22,X5),c_HOL_Otimes__class_Otimes(X2,X22,X5),X5) ),
    file('<stdin>',cls_mult__left_Oadd_0) ).

fof(c_0_72_073,axiom,
    ! [X10,X18,X8,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X8,X18,X5),X10,X5) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X10,X5),c_HOL_Otimes__class_Otimes(X18,X10,X5),X5) ),
    file('<stdin>',cls_mult_Oadd__left_0) ).

fof(c_0_73_074,axiom,
    ! [X12,X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(X2,X12,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X5),c_HOL_Otimes__class_Otimes(X3,X12,X5),X5) ),
    file('<stdin>',cls_class__semiring_Omul__d_0) ).

fof(c_0_74_075,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X8,X10,X5),X13,X5) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X13,X5),c_HOL_Otimes__class_Otimes(X10,X13,X5),X5) ),
    file('<stdin>',cls_comm__semiring__class_Odistrib_0) ).

fof(c_0_75_076,axiom,
    ! [X11,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X11,X5),c_HOL_Otimes__class_Otimes(X10,X11,X5),X5) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X8,X10,X5),X11,X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I1_J_0) ).

fof(c_0_76_077,axiom,
    ! [X2,X23,X3,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(X23,c_HOL_Ominus__class_Ominus(X3,X2,X5),X5) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X23,X3,X5),c_HOL_Otimes__class_Otimes(X23,X2,X5),X5) ),
    file('<stdin>',cls_mult__right_Odiff_0) ).

fof(c_0_77_078,axiom,
    ! [X17,X10,X8,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(X8,c_HOL_Ominus__class_Ominus(X10,X17,X5),X5) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X8,X10,X5),c_HOL_Otimes__class_Otimes(X8,X17,X5),X5) ),
    file('<stdin>',cls_mult_Odiff__right_0) ).

fof(c_0_78_079,axiom,
    ! [X10,X18,X8,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X8,X18,X5),X10,X5) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X8,X10,X5),c_HOL_Otimes__class_Otimes(X18,X10,X5),X5) ),
    file('<stdin>',cls_mult_Odiff__left_0) ).

fof(c_0_79_080,axiom,
    ! [X22,X2,X3,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X5),X22,X5) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X22,X5),c_HOL_Otimes__class_Otimes(X2,X22,X5),X5) ),
    file('<stdin>',cls_mult__left_Odiff_0) ).

fof(c_0_80_081,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X8,c_HOL_Otimes__class_Otimes(X10,X13,X5),X5),X10,X5) = c_Divides_Odiv__class_Omod(X8,X10,X5) ),
    file('<stdin>',cls_mod__mult__self2_0) ).

fof(c_0_81_082,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X8,c_HOL_Otimes__class_Otimes(X13,X10,X5),X5),X10,X5) = c_Divides_Odiv__class_Omod(X8,X10,X5) ),
    file('<stdin>',cls_mod__mult__self1_0) ).

fof(c_0_82_083,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X8,X10,X5),X13,X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X8,X13,X5),c_HOL_Oinverse__class_Odivide(X10,X13,X5),X5) ),
    file('<stdin>',cls_add__divide__distrib_0) ).

fof(c_0_83_084,axiom,
    ! [X22,X2,X3,X5] :
      ( ~ class_RealVector_Oreal__normed__field(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,X2,X5),X22,X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X22,X5),c_HOL_Oinverse__class_Odivide(X2,X22,X5),X5) ),
    file('<stdin>',cls_divide_Oadd_0) ).

fof(c_0_84_085,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X13,X8,X5),c_HOL_Otimes__class_Otimes(X13,X10,X5),X5) = c_HOL_Otimes__class_Otimes(X13,c_Divides_Odiv__class_Omod(X8,X10,X5),X5) ),
    file('<stdin>',cls_mod__mult__mult1_0) ).

fof(c_0_85_086,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X8,X13,X5),c_HOL_Otimes__class_Otimes(X10,X13,X5),X5) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X8,X10,X5),X13,X5) ),
    file('<stdin>',cls_mod__mult__mult2_0) ).

fof(c_0_86_087,axiom,
    ! [X4,X8,X5] :
      ( ~ class_Ring__and__Field_Oring__1(X5)
      | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X8,X5),X4,X5) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X5),X5),X4,X5),c_Power_Opower__class_Opower(X8,X4,X5),X5) ),
    file('<stdin>',cls_power__minus_0) ).

fof(c_0_87_088,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X10,X8,X5),X13,X5) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X10,X13,X5),X8,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5) ),
    file('<stdin>',cls_dvd__div__mult_0) ).

fof(c_0_88_089,axiom,
    ! [X4,X11,X9,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X9,X11,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,X4,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,c_Divides_Odiv__class_Omod(X11,X4,X5),X5) ),
    file('<stdin>',cls_dvd__mod__imp__dvd_0) ).

fof(c_0_89_090,axiom,
    ! [X4,X11,X9,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X9,X11,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,c_Divides_Odiv__class_Omod(X11,X4,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,X4,X5) ),
    file('<stdin>',cls_dvd__mod__iff_0) ).

fof(c_0_90_091,axiom,
    ! [X12,X2,X3,X21,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X12,X5),X5) != c_HOL_Oplus__class_Oplus(X2,X21,X5)
      | c_HOL_Oplus__class_Oplus(X3,X12,X5) = X21 ),
    file('<stdin>',cls_add__cancel__21_0) ).

fof(c_0_91_092,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Oring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X8,X5),X10,X5) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X8,X10,X5),X5),X10,X5) ),
    file('<stdin>',cls_mod__minus__eq_0) ).

fof(c_0_92_093,axiom,
    ! [X2,X3,X9,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X9,c_Polynomial_Opoly__gcd(X3,X2,X5),tc_Polynomial_Opoly(X5))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,X2,tc_Polynomial_Opoly(X5))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,X3,tc_Polynomial_Opoly(X5)) ),
    file('<stdin>',cls_poly__gcd__greatest_0) ).

fof(c_0_93_094,axiom,
    ! [X2,X3,X9,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X9,c_Polynomial_Opoly__gcd(X3,X2,X5),tc_Polynomial_Opoly(X5))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,X2,tc_Polynomial_Opoly(X5))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,X3,tc_Polynomial_Opoly(X5)) ),
    file('<stdin>',cls_dvd__poly__gcd__iff_2) ).

fof(c_0_94_095,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X8,X13,X5),c_HOL_Otimes__class_Otimes(X10,X13,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5) ),
    file('<stdin>',cls_dvd__mult__cancel__right_2) ).

fof(c_0_95_096,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X13,X8,X5),c_HOL_Otimes__class_Otimes(X13,X10,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5) ),
    file('<stdin>',cls_dvd__mult__cancel__left_2) ).

fof(c_0_96_097,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X4,X5),c_Power_Opower__class_Opower(X2,X4,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X5) ),
    file('<stdin>',cls_dvd__power__same_0) ).

fof(c_0_97_098,axiom,
    ! [X4,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X5),c_Power_Opower__class_Opower(X8,X4,X5),X5) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X5),X8,X5),X4,X5) ),
    file('<stdin>',cls_power__one__over_0) ).

fof(c_0_98_099,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X8,X13,X5),c_HOL_Otimes__class_Otimes(X10,X13,X5),X5) = c_HOL_Oinverse__class_Odivide(X8,X10,X5)
      | X13 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_mult__divide__mult__cancel__right_0) ).

fof(c_0_99_100,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X13,X8,X5),c_HOL_Otimes__class_Otimes(X13,X10,X5),X5) = c_HOL_Oinverse__class_Odivide(X8,X10,X5)
      | X13 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_mult__divide__mult__cancel__left_0) ).

fof(c_0_100_101,axiom,
    ! [X11,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X11,X5),X11,X5) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X8,c_HOL_Oone__class_Oone(X5),X5),X11,X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I2_J_0) ).

fof(c_0_101_102,axiom,
    ! [X11,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X11,c_HOL_Otimes__class_Otimes(X8,X11,X5),X5) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X8,c_HOL_Oone__class_Oone(X5),X5),X11,X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I3_J_0) ).

fof(c_0_102_103,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X8,c_HOL_Oplus__class_Oplus(X10,X13,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X13,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5) ),
    file('<stdin>',cls_dvd__add_0) ).

fof(c_0_103_104,axiom,
    ! [X12,X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Ominus__class_Ominus(X2,X12,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X12,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X5) ),
    file('<stdin>',cls_dvd__diff_0) ).

fof(c_0_104_105,axiom,
    ! [X4,X11,X9,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X9,c_Divides_Odiv__class_Omod(X11,X4,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,X11,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,X4,X5) ),
    file('<stdin>',cls_dvd__mod__iff_1) ).

fof(c_0_105_106,axiom,
    ! [X4,X11,X9,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X9,c_Divides_Odiv__class_Omod(X11,X4,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,X4,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,X11,X5) ),
    file('<stdin>',cls_dvd__mod_0) ).

fof(c_0_106_107,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X10,X8,X5),X10,X5) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X8,X10,X5),c_HOL_Oone__class_Oone(X5),X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_div__add__self1_0) ).

fof(c_0_107_108,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X8,X10,X5),X10,X5) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X8,X10,X5),c_HOL_Oone__class_Oone(X5),X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_div__add__self2_0) ).

fof(c_0_108_109,axiom,
    ! [X10,X18,X8,X5] :
      ( ~ class_Divides_Oring__div(X5)
      | c_Divides_Odiv__class_Omod(X8,X10,X5) != c_Divides_Odiv__class_Omod(X18,X10,X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X8,X5),X10,X5) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X18,X5),X10,X5) ),
    file('<stdin>',cls_mod__minus__cong_0) ).

fof(c_0_109_110,axiom,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X8,X5),c_HOL_Oabs__class_Oabs(X10,X5),X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X8,X5),c_HOL_Oabs__class_Oabs(X10,X5),X5) ),
    file('<stdin>',cls_abs__add__abs_0) ).

fof(c_0_110_111,axiom,
    ! [X6,X7,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X7,X6,tc_Polynomial_Opoly(X5))
      | X8 = c_HOL_Ozero__class_Ozero(X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X8,X7,X5),X6,tc_Polynomial_Opoly(X5)) ),
    file('<stdin>',cls_smult__dvd__iff_1) ).

fof(c_0_111_112,axiom,
    ! [X6,X7,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X7,X6,tc_Polynomial_Opoly(X5))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X7,c_Polynomial_Osmult(X8,X6,X5),tc_Polynomial_Opoly(X5))
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_dvd__smult__iff_0) ).

fof(c_0_112_113,axiom,
    ! [X6,X7,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X7,X6,tc_Polynomial_Opoly(X5))
      | X8 = c_HOL_Ozero__class_Ozero(X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X7,c_Polynomial_Osmult(X8,X6,X5),tc_Polynomial_Opoly(X5)) ),
    file('<stdin>',cls_dvd__smult__cancel_0) ).

fof(c_0_113_114,axiom,
    ! [X12,X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X2,X5),X12,X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X12,X5),X2,X5) ),
    file('<stdin>',cls_mult__frac__num_0) ).

fof(c_0_114_115,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X13,X8,X5),c_HOL_Otimes__class_Otimes(X13,X10,X5),X5) = c_Divides_Odiv__class_Odiv(X8,X10,X5)
      | X13 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_div__mult__mult1_0) ).

fof(c_0_115_116,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X8,X13,X5),c_HOL_Otimes__class_Otimes(X10,X13,X5),X5) = c_Divides_Odiv__class_Odiv(X8,X10,X5)
      | X13 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_div__mult__mult2_0) ).

fof(c_0_116_117,axiom,
    ! [X2,X3,X9,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X9,X2,tc_Polynomial_Opoly(X5))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,c_Polynomial_Opoly__gcd(X3,X2,X5),tc_Polynomial_Opoly(X5)) ),
    file('<stdin>',cls_dvd__poly__gcd__iff_1) ).

fof(c_0_117_118,axiom,
    ! [X2,X3,X9,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X9,X3,tc_Polynomial_Opoly(X5))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,c_Polynomial_Opoly__gcd(X3,X2,X5),tc_Polynomial_Opoly(X5)) ),
    file('<stdin>',cls_dvd__poly__gcd__iff_0) ).

fof(c_0_118_119,axiom,
    ! [X6,X7,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X7,X6,tc_Polynomial_Opoly(X5))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X8,X7,X5),X6,tc_Polynomial_Opoly(X5)) ),
    file('<stdin>',cls_smult__dvd__cancel_0) ).

fof(c_0_119_120,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_OrderedGroup_Oab__semigroup__mult(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X8,X10,X5),X13,X5) = c_HOL_Otimes__class_Otimes(X8,c_HOL_Otimes__class_Otimes(X10,X13,X5),X5) ),
    file('<stdin>',cls_ab__semigroup__mult__class_Omult__ac_I1_J_0) ).

fof(c_0_120_121,axiom,
    ! [X27,X29,X28,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X28,X29,X5),X27,X5) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X28,X27,X5),X29,X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I16_J_0) ).

fof(c_0_121_122,axiom,
    ! [X27,X29,X28,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X28,X29,X5),X27,X5) = c_HOL_Otimes__class_Otimes(X28,c_HOL_Otimes__class_Otimes(X29,X27,X5),X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I17_J_0) ).

fof(c_0_122_123,axiom,
    ! [X26,X27,X28,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(X28,c_HOL_Otimes__class_Otimes(X27,X26,X5),X5) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X28,X27,X5),X26,X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I18_J_0) ).

fof(c_0_123_124,axiom,
    ! [X26,X27,X28,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(X28,c_HOL_Otimes__class_Otimes(X27,X26,X5),X5) = c_HOL_Otimes__class_Otimes(X27,c_HOL_Otimes__class_Otimes(X28,X26,X5),X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I19_J_0) ).

fof(c_0_124_125,axiom,
    ! [X12,X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X2,X12,X5),X5) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X3,X2,X5),X12,X5) ),
    file('<stdin>',cls_class__semiring_Omul__a_0) ).

fof(c_0_125_126,axiom,
    ! [X12,X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Polynomial_Opoly__gcd(X3,c_Polynomial_Opoly__gcd(X2,X12,X5),X5) = c_Polynomial_Opoly__gcd(X2,c_Polynomial_Opoly__gcd(X3,X12,X5),X5) ),
    file('<stdin>',cls_poly__gcd__left__commute_0) ).

fof(c_0_126_127,axiom,
    ! [X12,X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Polynomial_Opoly__gcd(c_Polynomial_Opoly__gcd(X3,X2,X5),X12,X5) = c_Polynomial_Opoly__gcd(X3,c_Polynomial_Opoly__gcd(X2,X12,X5),X5) ),
    file('<stdin>',cls_poly__gcd__assoc_0) ).

fof(c_0_127_128,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X5)
      | c_HOL_Oplus__class_Oplus(X8,c_HOL_Oplus__class_Oplus(X10,X13,X5),X5) = c_HOL_Oplus__class_Oplus(X10,c_HOL_Oplus__class_Oplus(X8,X13,X5),X5) ),
    file('<stdin>',cls_comm__monoid__add_Omult__left__commute_0) ).

fof(c_0_128_129,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X8,X10,X5),X13,X5) = c_HOL_Oplus__class_Oplus(X8,c_HOL_Oplus__class_Oplus(X10,X13,X5),X5) ),
    file('<stdin>',cls_comm__monoid__add_Omult__assoc_0) ).

fof(c_0_129_130,axiom,
    ! [X12,X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X12,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X2,X5),X12,X5) ),
    file('<stdin>',cls_class__semiring_Oadd__a_0) ).

fof(c_0_130_131,axiom,
    ! [X12,X2,X3,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X12,X5),X5) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X12,X5),X5) ),
    file('<stdin>',cls_add__cancel__21_1) ).

fof(c_0_131_132,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X8,X10,X5),X13,X5) = c_HOL_Oplus__class_Oplus(X8,c_HOL_Oplus__class_Oplus(X10,X13,X5),X5) ),
    file('<stdin>',cls_ab__semigroup__add__class_Oadd__ac_I1_J_0) ).

fof(c_0_132_133,axiom,
    ! [X14,X13,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X8,c_HOL_Oplus__class_Oplus(X13,X14,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X8,X13,X5),X14,X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I25_J_0) ).

fof(c_0_133_134,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X8,X10,X5),X13,X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X8,X13,X5),X10,X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I23_J_0) ).

fof(c_0_134_135,axiom,
    ! [X14,X13,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X8,c_HOL_Oplus__class_Oplus(X13,X14,X5),X5) = c_HOL_Oplus__class_Oplus(X13,c_HOL_Oplus__class_Oplus(X8,X14,X5),X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I22_J_0) ).

fof(c_0_135_136,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X8,X10,X5),X13,X5) = c_HOL_Oplus__class_Oplus(X8,c_HOL_Oplus__class_Oplus(X10,X13,X5),X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I21_J_0) ).

fof(c_0_136_137,axiom,
    ! [X7,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X5)
      | c_Polynomial_Osmult(X8,c_Polynomial_Osmult(X10,X7,X5),X5) = c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X8,X10,X5),X7,X5) ),
    file('<stdin>',cls_smult__smult_0) ).

fof(c_0_137_138,axiom,
    ! [X4,X8,X5] :
      ( ~ class_OrderedGroup_Omonoid__mult(X5)
      | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X8,X4,X5),X8,X5) = c_HOL_Otimes__class_Otimes(X8,c_Power_Opower__class_Opower(X8,X4,X5),X5) ),
    file('<stdin>',cls_power__commutes_0) ).

fof(c_0_138_139,axiom,
    ! [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) ),
    file('<stdin>',cls_sum__squares__eq__zero__iff_2) ).

fof(c_0_139_140,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X10,X13,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X8,X10,X5),X13,X5) ),
    file('<stdin>',cls_dvd__mult__right_0) ).

fof(c_0_140_141,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X8,X13,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X8,X10,X5),X13,X5) ),
    file('<stdin>',cls_dvd__mult__left_0) ).

fof(c_0_141_142,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X8,X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(X8,X13,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X13,X10,X5) ),
    file('<stdin>',cls_mod__mod__cancel_0) ).

fof(c_0_142_143,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X8,X5),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X10,X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_div__mult__mult1__if_0) ).

fof(c_0_143_144,axiom,
    ! [X4,X8,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X8,X5),X4,X5),X5) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X8,X4,X5),X5) ),
    file('<stdin>',cls_abs__power__minus_0) ).

fof(c_0_144_145,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X8,X5),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X10,X5),X5) ),
    file('<stdin>',cls_dvd__mult__cancel__left_1) ).

fof(c_0_145_146,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X8,c_HOL_Ozero__class_Ozero(X5),X5),c_HOL_Otimes__class_Otimes(X10,c_HOL_Ozero__class_Ozero(X5),X5),X5) ),
    file('<stdin>',cls_dvd__mult__cancel__right_1) ).

fof(c_0_146_147,axiom,
    ! [X12,X2,X3,X16,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Odivide(X3,X2,X5) != c_HOL_Oinverse__class_Odivide(X16,X12,X5)
      | X12 = c_HOL_Ozero__class_Ozero(X5)
      | X2 = c_HOL_Ozero__class_Ozero(X5)
      | c_HOL_Otimes__class_Otimes(X3,X12,X5) = c_HOL_Otimes__class_Otimes(X16,X2,X5) ),
    file('<stdin>',cls_frac__eq__eq_0) ).

fof(c_0_147_148,axiom,
    ! [X12,X2,X3,X16,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Otimes__class_Otimes(X3,X12,X5) != c_HOL_Otimes__class_Otimes(X16,X2,X5)
      | X12 = c_HOL_Ozero__class_Ozero(X5)
      | X2 = c_HOL_Ozero__class_Ozero(X5)
      | c_HOL_Oinverse__class_Odivide(X3,X2,X5) = c_HOL_Oinverse__class_Odivide(X16,X12,X5) ),
    file('<stdin>',cls_frac__eq__eq_1) ).

fof(c_0_148_149,axiom,
    ! [X2,X3,X5] :
      ( ~ class_Divides_Oring__div(X5)
      | c_Divides_Odiv__class_Odiv(X3,c_HOL_Ouminus__class_Ouminus(X2,X5),X5) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X3,X2,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X5) ),
    file('<stdin>',cls_dvd__div__neg_0) ).

fof(c_0_149_150,axiom,
    ! [X2,X3,X5] :
      ( ~ class_Divides_Oring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X3,X5),X2,X5) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X3,X2,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X5) ),
    file('<stdin>',cls_dvd__neg__div_0) ).

fof(c_0_150_151,axiom,
    ! [X12,X2,X3,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X12,X5),X5) != X2
      | X3 = c_HOL_Ouminus__class_Ouminus(X12,X5) ),
    file('<stdin>',cls_add__cancel__end_0) ).

fof(c_0_151_152,axiom,
    ! [X6,X7,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X8,X7,X5),X6,tc_Polynomial_Opoly(X5))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X7,X6,tc_Polynomial_Opoly(X5))
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_smult__dvd__iff_2) ).

fof(c_0_152_153,axiom,
    ! [X6,X7,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X7,c_Polynomial_Osmult(X8,X6,X5),tc_Polynomial_Opoly(X5))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X7,X6,tc_Polynomial_Opoly(X5))
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_dvd__smult__iff_1) ).

fof(c_0_153_154,axiom,
    ! [X6,X7,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X8,X7,X5),X6,tc_Polynomial_Opoly(X5))
      | X8 = c_HOL_Ozero__class_Ozero(X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X7,X6,tc_Polynomial_Opoly(X5)) ),
    file('<stdin>',cls_smult__dvd_0) ).

fof(c_0_154_155,axiom,
    ! [X6,X7,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X7,c_Polynomial_Osmult(X8,X6,X5),tc_Polynomial_Opoly(X5))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X7,X6,tc_Polynomial_Opoly(X5)) ),
    file('<stdin>',cls_dvd__smult_0) ).

fof(c_0_155_156,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_HOL_Otimes__class_Otimes(X8,c_Divides_Odiv__class_Odiv(X10,X8,X5),X5) = X10
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5) ),
    file('<stdin>',cls_dvd__mult__div__cancel_0) ).

fof(c_0_156_157,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X10,X8,X5),X8,X5) = X10
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5) ),
    file('<stdin>',cls_dvd__div__mult__self_0) ).

fof(c_0_157_158,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X8,c_HOL_Otimes__class_Otimes(X10,X13,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5) ),
    file('<stdin>',cls_dvd__mult2_0) ).

fof(c_0_158_159,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X8,c_HOL_Otimes__class_Otimes(X10,X13,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X13,X5) ),
    file('<stdin>',cls_dvd__mult_0) ).

fof(c_0_159_160,axiom,
    ! [X6,X7,X8] :
      ( c_Ring__and__Field_Odvd__class_Odvd(X7,c_Polynomial_Osmult(X8,X6,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X7,X6,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    file('<stdin>',cls_poly__divides__pad__const__rule_0) ).

fof(c_0_160_161,axiom,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X8,X10,X5),X5) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X10,X8,X5),X5) ),
    file('<stdin>',cls_abs__minus__commute_0) ).

fof(c_0_161_162,axiom,
    ! [X11,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X11,X11,X5) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X5),c_HOL_Oone__class_Oone(X5),X5),X11,X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I4_J_0) ).

fof(c_0_162_163,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X8,X10,X5),X5) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X10,X5),c_HOL_Oinverse__class_Oinverse(X8,X5),X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_nonzero__inverse__mult__distrib_0) ).

fof(c_0_163_164,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X8,X10,X5),X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X8,X5),c_HOL_Oabs__class_Oabs(X10,X5),X5) ),
    file('<stdin>',cls_abs__divide_0) ).

fof(c_0_164_165,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X8,X10,X5),X5) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X8,X5),c_HOL_Oinverse__class_Oinverse(X10,X5),X5) ),
    file('<stdin>',cls_inverse__mult__distrib_0) ).

fof(c_0_165_166,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X8,X10,X5),X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X8,X5),c_HOL_Oabs__class_Oabs(X10,X5),X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_nonzero__abs__divide_0) ).

fof(c_0_166_167,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X8,X13,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X10,X13,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5) ),
    file('<stdin>',cls_dvd__trans_0) ).

fof(c_0_167_168,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X8,X10,X5),X5) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X8,X5),c_HOL_Oabs__class_Oabs(X10,X5),X5) ),
    file('<stdin>',cls_abs__mult_0) ).

fof(c_0_168_169,axiom,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X8,X5),c_HOL_Ouminus__class_Ouminus(X10,X5),X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X8,X10,X5),X5) ),
    file('<stdin>',cls_Lim_Ominus__diff__minus_0) ).

fof(c_0_169_170,axiom,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X8,X10,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X10,X5),c_HOL_Ouminus__class_Ouminus(X8,X5),X5) ),
    file('<stdin>',cls_minus__add_0) ).

fof(c_0_170_171,axiom,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X8,X10,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X8,X5),c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    file('<stdin>',cls_minus__add__distrib_0) ).

fof(c_0_171_172,axiom,
    ! [X2,X3,X5] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X5)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X3,X2,X5),X5) = c_HOL_Otimes__class_Otimes(X3,X2,X5) ),
    file('<stdin>',cls_mult__left__idem_0) ).

fof(c_0_172_173,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X10,X8,X5),X10,X5) = c_Divides_Odiv__class_Omod(X8,X10,X5) ),
    file('<stdin>',cls_mod__add__self1_0) ).

fof(c_0_173_174,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X8,X10,X5),X10,X5) = c_Divides_Odiv__class_Omod(X8,X10,X5) ),
    file('<stdin>',cls_mod__add__self2_0) ).

fof(c_0_174_175,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X8,X10,X5),X10,X5) = c_Divides_Odiv__class_Omod(X8,X10,X5) ),
    file('<stdin>',cls_mod__mod__trivial_0) ).

fof(c_0_175_176,axiom,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Oplus__class_Oplus(X8,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X8,X5),X10,X5),X5) = X10 ),
    file('<stdin>',cls_add__minus__cancel_0) ).

fof(c_0_176_177,axiom,
    ! [X4,X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X8,X4,X5),X5) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X8,X5),X4,X5) ),
    file('<stdin>',cls_power__inverse_0) ).

fof(c_0_177_178,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X8,X10,X5),X5) = c_HOL_Oinverse__class_Odivide(X8,c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    file('<stdin>',cls_minus__divide__right_0) ).

fof(c_0_178_179,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X8,X10,X5),X5) = c_HOL_Oinverse__class_Odivide(X8,c_HOL_Ouminus__class_Ouminus(X10,X5),X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_nonzero__minus__divide__right_0) ).

fof(c_0_179_180,axiom,
    ! [X4,X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X8,X4,X5),X5) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X8,X5),X4,X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_nonzero__power__inverse_0) ).

fof(c_0_180_181,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oring(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X8,X10,X5),X5) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X8,X5),X10,X5) ),
    file('<stdin>',cls_minus__mult__left_0) ).

fof(c_0_181_182,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oring(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X8,X10,X5),X5) = c_HOL_Otimes__class_Otimes(X8,c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    file('<stdin>',cls_minus__mult__right_0) ).

fof(c_0_182_183,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X8,X10,X5),X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X8,X5),X10,X5) ),
    file('<stdin>',cls_minus__divide__left_0) ).

fof(c_0_183_184,axiom,
    ! [X10,X8,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X8,X5),X10,X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X8,X10,X5),X5) ),
    file('<stdin>',cls_mult_Ominus__left_0) ).

fof(c_0_184_185,axiom,
    ! [X2,X3,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X3,X5),X2,X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,X5),X5) ),
    file('<stdin>',cls_mult__left_Ominus_0) ).

fof(c_0_185_186,axiom,
    ! [X10,X8,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(X8,c_HOL_Ouminus__class_Ouminus(X10,X5),X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X8,X10,X5),X5) ),
    file('<stdin>',cls_mult_Ominus__right_0) ).

fof(c_0_186_187,axiom,
    ! [X23,X3,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(X23,c_HOL_Ouminus__class_Ouminus(X3,X5),X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X23,X3,X5),X5) ),
    file('<stdin>',cls_mult__right_Ominus_0) ).

fof(c_0_187_188,axiom,
    ! [X2,X3,X5] :
      ( ~ class_RealVector_Oreal__normed__field(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,X5),X2,X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X2,X5),X5) ),
    file('<stdin>',cls_divide_Ominus_0) ).

fof(c_0_188_189,axiom,
    ! [X4,X8,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X8,X4,X5),X5) = c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X8,X5),X4,X5) ),
    file('<stdin>',cls_power__abs_0) ).

fof(c_0_189_190,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | c_HOL_Otimes__class_Otimes(X8,X8,X5) != c_HOL_Otimes__class_Otimes(X10,X10,X5)
      | X8 = c_HOL_Ouminus__class_Ouminus(X10,X5)
      | X8 = X10 ),
    file('<stdin>',cls_square__eq__iff_0) ).

fof(c_0_190_191,axiom,
    ! [X12,X2,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X12,X5),c_HOL_Oplus__class_Oplus(X2,X12,X5),X5) = X2 ),
    file('<stdin>',cls_add__cancel__end_1) ).

fof(c_0_191_192,axiom,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X8,X5),c_HOL_Oplus__class_Oplus(X8,X10,X5),X5) = X10 ),
    file('<stdin>',cls_minus__add__cancel_0) ).

fof(c_0_192_193,axiom,
    ! [X13,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Ozero__class_Ozero(X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X13,X5),X13,X5) ),
    file('<stdin>',cls_eq__divide__eq_4) ).

fof(c_0_193_194,axiom,
    ! [X13,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X13,X5),X13,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_divide__eq__eq_4) ).

fof(c_0_194_195,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X8,X10,X5),X5) = c_HOL_Oinverse__class_Odivide(X10,X8,X5) ),
    file('<stdin>',cls_inverse__divide_0) ).

fof(c_0_195_196,axiom,
    ! [X11,X9,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X11,X9,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X11,c_HOL_Oabs__class_Oabs(X9,X5),X5) ),
    file('<stdin>',cls_dvd__abs__iff_0) ).

fof(c_0_196_197,axiom,
    ! [X11,X9,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X11,X9,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X11,X5),X9,X5) ),
    file('<stdin>',cls_abs__dvd__iff_0) ).

fof(c_0_197_198,axiom,
    ! [X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X3,X5),X2,X5) ),
    file('<stdin>',cls_minus__dvd__iff_0) ).

fof(c_0_198_199,axiom,
    ! [X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Ouminus__class_Ouminus(X2,X5),X5) ),
    file('<stdin>',cls_dvd__minus__iff_0) ).

fof(c_0_199_200,axiom,
    ! [X12,X2,X3,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | ~ class_Int_Onumber__ring(X5)
      | c_HOL_Oplus__class_Oplus(X3,X2,X5) != c_HOL_Oplus__class_Oplus(X3,X12,X5)
      | X2 = X12 ),
    file('<stdin>',cls_class__ringb_Oadd__cancel_0) ).

fof(c_0_200_201,axiom,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X5),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X5),X4,X5),X5) ),
    file('<stdin>',cls_dvd__power_1) ).

fof(c_0_201_202,axiom,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X8,X10,X5),X5) = c_HOL_Ominus__class_Ominus(X10,X8,X5) ),
    file('<stdin>',cls_minus__diff__eq_0) ).

fof(c_0_202_203,axiom,
    ! [X13,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | X8 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X8,X13,X5),X13,X5)
      | X13 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_eq__divide__eq_3) ).

fof(c_0_203_204,axiom,
    ! [X13,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X8,X13,X5),X13,X5) = X8
      | X13 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_divide__eq__eq_3) ).

fof(c_0_204_205,axiom,
    ! [X13,X10,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | X10 = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X10,X13,X5),X13,X5)
      | X13 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_divide__eq__eq_0) ).

fof(c_0_205_206,axiom,
    ! [X13,X10,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X10,X13,X5),X13,X5) = X10
      | X13 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_eq__divide__eq_0) ).

fof(c_0_206_207,axiom,
    ! [X24,X25,X3,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X3,X3,X5) != c_HOL_Ominus__class_Ominus(X25,X24,X5)
      | X25 = X24 ),
    file('<stdin>',cls_eq__eqI_0) ).

fof(c_0_207_208,axiom,
    ! [X2,X23,X3,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X23,X2,X5) != c_HOL_Ominus__class_Ominus(X3,X3,X5)
      | X23 = X2 ),
    file('<stdin>',cls_eq__eqI_1) ).

fof(c_0_208_209,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X5)
      | c_HOL_Oplus__class_Oplus(X8,X10,X5) != c_HOL_Oplus__class_Oplus(X8,X13,X5)
      | X10 = X13 ),
    file('<stdin>',cls_add__imp__eq_0) ).

fof(c_0_209_210,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X5)
      | c_HOL_Oplus__class_Oplus(X8,X10,X5) != c_HOL_Oplus__class_Oplus(X8,X13,X5)
      | X10 = X13 ),
    file('<stdin>',cls_add__left__cancel_0) ).

fof(c_0_210_211,axiom,
    ! [X13,X10,X8,X5] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X5)
      | c_HOL_Oplus__class_Oplus(X10,X8,X5) != c_HOL_Oplus__class_Oplus(X13,X8,X5)
      | X10 = X13 ),
    file('<stdin>',cls_add__right__cancel_0) ).

fof(c_0_211_212,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X8,X5),c_HOL_Ouminus__class_Ouminus(X10,X5),X5) = c_HOL_Oinverse__class_Odivide(X8,X10,X5) ),
    file('<stdin>',cls_minus__divide__divide_0) ).

fof(c_0_212_213,axiom,
    ! [X13,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | X13 = c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X8,X13,X5),X13,X5) ),
    file('<stdin>',cls_eq__divide__imp_0) ).

fof(c_0_213_214,axiom,
    ! [X13,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | X13 = c_HOL_Ozero__class_Ozero(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X8,X13,X5),X13,X5) = X8 ),
    file('<stdin>',cls_divide__eq__imp_0) ).

fof(c_0_214_215,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X8,X10,X5),X10,X5) = X8
      | X10 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_div__mult__self2__is__id_0) ).

fof(c_0_215_216,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X10,X8,X5),X10,X5) = X8
      | X10 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_div__mult__self1__is__id_0) ).

fof(c_0_216_217,axiom,
    ! [X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X3,X2,X5),X3,tc_Polynomial_Opoly(X5)) ),
    file('<stdin>',cls_poly__gcd__dvd1_0) ).

fof(c_0_217_218,axiom,
    ! [X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X3,X2,X5),X2,tc_Polynomial_Opoly(X5)) ),
    file('<stdin>',cls_poly__gcd__dvd2_0) ).

fof(c_0_218_219,axiom,
    ! [X11,X9,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X11,c_HOL_Oabs__class_Oabs(X9,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X11,X9,X5) ),
    file('<stdin>',cls_dvd__abs__iff_1) ).

fof(c_0_219_220,axiom,
    ! [X11,X9,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X11,X5),X9,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X11,X9,X5) ),
    file('<stdin>',cls_abs__dvd__iff_1) ).

fof(c_0_220_221,axiom,
    ! [X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X3,X5),X2,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X5) ),
    file('<stdin>',cls_minus__dvd__iff_1) ).

fof(c_0_221_222,axiom,
    ! [X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Ouminus__class_Ouminus(X2,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X5) ),
    file('<stdin>',cls_dvd__minus__iff_1) ).

fof(c_0_222_223,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X8,X5),c_HOL_Ouminus__class_Ouminus(X10,X5),X5) = c_HOL_Oinverse__class_Odivide(X8,X10,X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_nonzero__minus__divide__divide_0) ).

fof(c_0_223_224,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X8,X10,X5),X10,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_mod__div__trivial_0) ).

fof(c_0_224_225,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X10,X8,X5),X10,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_mod__mult__self1__is__0_0) ).

fof(c_0_225_226,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X8,X10,X5),X10,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_mod__mult__self2__is__0_0) ).

fof(c_0_226_227,axiom,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X8,X10,X5),X10,X5) = X8 ),
    file('<stdin>',cls_diff__add__cancel_0) ).

fof(c_0_227_228,axiom,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X8,X10,X5),X10,X5) = X8 ),
    file('<stdin>',cls_add__diff__cancel_0) ).

fof(c_0_228_229,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X8,c_HOL_Otimes__class_Otimes(X10,X8,X5),X5) ),
    file('<stdin>',cls_dvd__triv__right_0) ).

fof(c_0_229_230,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X8,c_HOL_Otimes__class_Otimes(X8,X10,X5),X5) ),
    file('<stdin>',cls_dvd__triv__left_0) ).

fof(c_0_230_231,axiom,
    ! [X9,X10,X5] :
      ( ~ class_Ring__and__Field_Odvd(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X10,c_HOL_Otimes__class_Otimes(X10,X9,X5),X5) ),
    file('<stdin>',cls_dvdI_0) ).

fof(c_0_231_232,axiom,
    ! [X10,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X10,X5),c_HOL_Ouminus__class_Ouminus(X10,X5),X5) = c_HOL_Otimes__class_Otimes(X10,X10,X5) ),
    file('<stdin>',cls_square__eq__iff_1) ).

fof(c_0_232_233,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oring(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X8,X5),c_HOL_Ouminus__class_Ouminus(X10,X5),X5) = c_HOL_Otimes__class_Otimes(X8,X10,X5) ),
    file('<stdin>',cls_minus__mult__minus_0) ).

fof(c_0_233_234,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X8,X5),c_HOL_Oabs__class_Oabs(X8,X5),X5) = c_HOL_Otimes__class_Otimes(X8,X8,X5) ),
    file('<stdin>',cls_abs__mult__self_0) ).

fof(c_0_234_235,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oring(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X8,X5),X10,X5) = c_HOL_Otimes__class_Otimes(X8,c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    file('<stdin>',cls_minus__mult__commute_0) ).

fof(c_0_235_236,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(X10,X8,X5) != c_HOL_Ozero__class_Ozero(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5) ),
    file('<stdin>',cls_dvd__eq__mod__eq__0_1) ).

fof(c_0_236_237,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(X10,X8,X5) = c_HOL_Ozero__class_Ozero(X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5) ),
    file('<stdin>',cls_dvd__imp__mod__0_0) ).

fof(c_0_237_238,axiom,
    ! [X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Int_Onumber__ring(X5)
      | c_HOL_Oinverse__class_Odivide(X3,X2,X5) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X2,X5),X5) ),
    file('<stdin>',cls_class__fieldgb_Odivide__inverse_0) ).

fof(c_0_238_239,axiom,
    ! [X2,X3,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X3,X2,X5) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Ouminus__class_Ouminus(X2,X5),X5) ),
    file('<stdin>',cls_diff__def_0) ).

fof(c_0_239_240,axiom,
    ! [X2,X3,X5] :
      ( ~ class_Int_Onumber__ring(X5)
      | c_HOL_Ominus__class_Ominus(X3,X2,X5) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Ouminus__class_Ouminus(X2,X5),X5) ),
    file('<stdin>',cls_class__ring_Osub__add_0) ).

fof(c_0_240_241,axiom,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ominus__class_Ominus(X8,X10,X5) = c_HOL_Oplus__class_Oplus(X8,c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    file('<stdin>',cls_diff__minus_0) ).

fof(c_0_241_242,axiom,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X8,X10,X5) = c_HOL_Oplus__class_Oplus(X8,c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    file('<stdin>',cls_ab__diff__minus_0) ).

fof(c_0_242_243,axiom,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ominus__class_Ominus(X8,c_HOL_Ouminus__class_Ouminus(X10,X5),X5) = c_HOL_Oplus__class_Oplus(X8,X10,X5) ),
    file('<stdin>',cls_diff__minus__eq__add_0) ).

fof(c_0_243_244,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Odivide(X8,X10,X5) = c_HOL_Otimes__class_Otimes(X8,c_HOL_Oinverse__class_Oinverse(X10,X5),X5) ),
    file('<stdin>',cls_divide__inverse_0) ).

fof(c_0_244_245,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    file('<stdin>',cls_CHAINED_0) ).

fof(c_0_245_246,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    file('<stdin>',cls_CHAINED_0_01) ).

fof(c_0_246_247,axiom,
    ! [X4,X8,X5] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X5)
      | ~ class_Ring__and__Field_Ono__zero__divisors(X5)
      | ~ class_Ring__and__Field_Omult__zero(X5)
      | ~ class_Power_Opower(X5)
      | c_Power_Opower__class_Opower(X8,X4,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_power__eq__0__iff_0) ).

fof(c_0_247_248,axiom,
    ! [X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(X3,X2,X5) = c_HOL_Otimes__class_Otimes(X2,X3,X5) ),
    file('<stdin>',cls_class__semiring_Omul__c_0) ).

fof(c_0_248_249,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(X8,X10,X5) = c_HOL_Otimes__class_Otimes(X10,X8,X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I7_J_0) ).

fof(c_0_249_250,axiom,
    ! [X13,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X8,X13,X5) = c_HOL_Oplus__class_Oplus(X13,X8,X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I24_J_0) ).

fof(c_0_250_251,axiom,
    ! [X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X3,X2,X5) = c_HOL_Oplus__class_Oplus(X2,X3,X5) ),
    file('<stdin>',cls_class__semiring_Oadd__c_0) ).

fof(c_0_251_252,axiom,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X5)
      | c_HOL_Oplus__class_Oplus(X8,X10,X5) = c_HOL_Oplus__class_Oplus(X10,X8,X5) ),
    file('<stdin>',cls_comm__monoid__add_Omult__commute_0) ).

fof(c_0_252_253,axiom,
    ! [X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Polynomial_Opoly__gcd(X3,X2,X5) = c_Polynomial_Opoly__gcd(X2,X3,X5) ),
    file('<stdin>',cls_poly__gcd__commute_0) ).

fof(c_0_253_254,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Otimes__class_Otimes(X8,X10,X5) != c_HOL_Oone__class_Oone(X5)
      | c_HOL_Oinverse__class_Oinverse(X8,X5) = X10 ),
    file('<stdin>',cls_inverse__unique_0) ).

fof(c_0_254_255,axiom,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Oplus__class_Oplus(X8,X10,X5) != c_HOL_Ozero__class_Ozero(X5)
      | c_HOL_Ouminus__class_Ouminus(X8,X5) = X10 ),
    file('<stdin>',cls_minus__unique_0) ).

fof(c_0_255_256,axiom,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Oplus__class_Oplus(X8,X10,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ouminus__class_Ouminus(X10,X5) ),
    file('<stdin>',cls_eq__neg__iff__add__eq__0_1) ).

fof(c_0_256_257,axiom,
    ! [X3,X5] :
      ( ~ class_Int_Onumber__ring(X5)
      | c_HOL_Ouminus__class_Ouminus(X3,X5) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X5),X5),X3,X5) ),
    file('<stdin>',cls_class__ring_Oneg__mul_0) ).

fof(c_0_257_258,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X5)
      | c_HOL_Otimes__class_Otimes(X8,X10,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_mult__eq__0__iff_0) ).

fof(c_0_258_259,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X5)
      | c_HOL_Otimes__class_Otimes(X8,X10,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_no__zero__divisors_0) ).

fof(c_0_259_260,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X5)
      | c_HOL_Otimes__class_Otimes(X8,X10,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_no__zero__divirors__neq0_0) ).

fof(c_0_260_261,axiom,
    ! [X2,X3,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | ~ class_Int_Onumber__ring(X5)
      | c_HOL_Ominus__class_Ominus(X3,X2,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X3 = X2 ),
    file('<stdin>',cls_class__ringb_Osubr0__iff_0) ).

fof(c_0_261_262,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X5),X8,X5) ),
    file('<stdin>',cls_dvd__0__left_0) ).

fof(c_0_262_263,axiom,
    ! [X3,X8,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | ~ class_Int_Onumber__ring(X5)
      | X3 != c_HOL_Oplus__class_Oplus(X3,X8,X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_class__ringb_Oadd__r0__iff_0) ).

fof(c_0_263_264,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Odivide(X8,X10,X5) != c_HOL_Oone__class_Oone(X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5)
      | X8 = X10 ),
    file('<stdin>',cls_right__inverse__eq_0) ).

fof(c_0_264_265,axiom,
    ! [X15,X9,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oabs__class_Oabs(X15,X5) != c_HOL_Oabs__class_Oabs(X9,X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X15,X9,X5) ),
    file('<stdin>',cls_dvd__if__abs__eq_0) ).

fof(c_0_265_266,axiom,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(X8,X8,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_double__eq__0__iff_0) ).

fof(c_0_266_267,axiom,
    ! [X4,X8,X5] :
      ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X5)
      | c_Power_Opower__class_Opower(X8,X4,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_field__power__not__zero_0) ).

fof(c_0_267_268,axiom,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X8,X10,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X8 = X10 ),
    file('<stdin>',cls_eq__iff__diff__eq__0_1) ).

fof(c_0_268_269,axiom,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ominus__class_Ominus(X8,X10,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X8 = X10 ),
    file('<stdin>',cls_right__minus__eq_0) ).

fof(c_0_269_270,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X8,X5),X8,X5) = c_HOL_Oone__class_Oone(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_field__inverse_0) ).

fof(c_0_270_271,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X8,X5),X8,X5) = c_HOL_Oone__class_Oone(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_left__inverse_0) ).

fof(c_0_271_272,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Otimes__class_Otimes(X8,c_HOL_Oinverse__class_Oinverse(X8,X5),X5) = c_HOL_Oone__class_Oone(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_right__inverse_0) ).

fof(c_0_272_273,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X8,X5),X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X8,X5),X5) ),
    file('<stdin>',cls_inverse__minus__eq_0) ).

fof(c_0_273_274,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X8,X5),X5) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X8,X5),X5) ),
    file('<stdin>',cls_abs__inverse_0) ).

fof(c_0_274_275,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X8,X5),X5) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X8,X5),X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_nonzero__abs__inverse_0) ).

fof(c_0_275_276,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X8,X5),X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X8,X5),X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_nonzero__inverse__minus__eq_0) ).

fof(c_0_276_277,axiom,
    ! [X10,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X10,X5),X10,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_eq__neg__iff__add__eq__0_0) ).

fof(c_0_277_278,axiom,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X8,X5),X8,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_ab__left__minus_0) ).

fof(c_0_278_279,axiom,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Oplus__class_Oplus(X8,c_HOL_Ouminus__class_Ouminus(X8,X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_right__minus_0) ).

fof(c_0_279_280,axiom,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X8,X5),X8,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_left__minus_0) ).

fof(c_0_280_281,axiom,
    ! [X3,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Int_Onumber__ring(X5)
      | c_HOL_Oinverse__class_Oinverse(X3,X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X5),X3,X5) ),
    file('<stdin>',cls_class__fieldgb_Oinverse__divide_0) ).

fof(c_0_281_282,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Oinverse(X8,X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X5),X8,X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_nonzero__inverse__eq__divide_0) ).

fof(c_0_282_283,axiom,
    ! [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) ),
    file('<stdin>',cls_divide__self__if_0) ).

fof(c_0_283_284,axiom,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X5),X8,X5) = c_HOL_Ouminus__class_Ouminus(X8,X5) ),
    file('<stdin>',cls_group__add__class_Odiff__0_0) ).

fof(c_0_284_285,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Oinverse(X8,X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X5),X8,X5) ),
    file('<stdin>',cls_inverse__eq__divide_0) ).

fof(c_0_285_286,axiom,
    ! [X10,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Odivide(X10,c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_divide__eq__eq_1) ).

fof(c_0_286_287,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Odivide(X8,c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_divide__zero_0) ).

fof(c_0_287_288,axiom,
    ! [X10,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Ozero__class_Ozero(X5) = c_HOL_Oinverse__class_Odivide(X10,c_HOL_Ozero__class_Ozero(X5),X5) ),
    file('<stdin>',cls_eq__divide__eq_2) ).

fof(c_0_288_289,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Odivide(X8,X8,X5) = c_HOL_Oone__class_Oone(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_divide__self__if_1) ).

fof(c_0_289_290,axiom,
    ! [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) ),
    file('<stdin>',cls_double__eq__0__iff_1) ).

fof(c_0_290_291,axiom,
    ! [X3,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | ~ class_Int_Onumber__ring(X5)
      | X3 = c_HOL_Oplus__class_Oplus(X3,c_HOL_Ozero__class_Ozero(X5),X5) ),
    file('<stdin>',cls_class__ringb_Oadd__r0__iff_1) ).

fof(c_0_291_292,axiom,
    ! [X3,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | ~ class_Int_Onumber__ring(X5)
      | c_HOL_Ominus__class_Ominus(X3,X3,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_class__ringb_Osubr0__iff_1) ).

fof(c_0_292_293,axiom,
    ! [X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(X8,c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_div__by__0_0) ).

fof(c_0_293_294,axiom,
    ! [X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X5),X8,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_div__0_0) ).

fof(c_0_294_295,axiom,
    ! [X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X5),X8,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_mod__0_0) ).

fof(c_0_295_296,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X5),X8,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_divide__zero__left_0) ).

fof(c_0_296_297,axiom,
    ! [X2,X5] :
      ( ~ class_RealVector_Oreal__normed__field(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X5),X2,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_divide_Ozero_0) ).

fof(c_0_297_298,axiom,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Omonoid__mult(X5)
      | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X5),X4,X5) = c_HOL_Oone__class_Oone(X5) ),
    file('<stdin>',cls_power__one_0) ).

fof(c_0_298_299,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X8,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I9_J_0) ).

fof(c_0_299_300,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(X8,c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I10_J_0) ).

fof(c_0_300_301,axiom,
    ! [X2,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X2,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_mult__left_Ozero_0) ).

fof(c_0_301_302,axiom,
    ! [X10,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X10,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_mult_Ozero__left_0) ).

fof(c_0_302_303,axiom,
    ! [X8,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(X8,c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_mult_Ozero__right_0) ).

fof(c_0_303_304,axiom,
    ! [X3,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_mult__right_Ozero_0) ).

fof(c_0_304_305,axiom,
    ! [X3,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X3,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_class__semiring_Omul__0_0) ).

fof(c_0_305_306,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Omult__zero(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X8,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_mult__zero__left_0) ).

fof(c_0_306_307,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Omult__zero(X5)
      | c_HOL_Otimes__class_Otimes(X8,c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_mult__zero__right_0) ).

fof(c_0_307_308,axiom,
    ! [X10,X5] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X10,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_mult__eq__0__iff_1) ).

fof(c_0_308_309,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X5)
      | c_HOL_Otimes__class_Otimes(X8,c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_mult__eq__0__iff_2) ).

fof(c_0_309_310,axiom,
    ! [X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(X8,c_HOL_Oone__class_Oone(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_mod__by__1_0) ).

fof(c_0_310_311,axiom,
    ! [X3,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | X3 = c_HOL_Ozero__class_Ozero(X5)
      | c_HOL_Oinverse__class_Odivide(X3,X3,X5) = c_HOL_Oone__class_Oone(X5) ),
    file('<stdin>',cls_right__inverse__eq_1) ).

fof(c_0_311_312,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Odivide(X8,X8,X5) = c_HOL_Oone__class_Oone(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_divide__self_0) ).

fof(c_0_312_313,axiom,
    ! [X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(X8,X8,X5) = c_HOL_Oone__class_Oone(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_div__self_0) ).

fof(c_0_313_314,axiom,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ominus__class_Ominus(X8,c_HOL_Ozero__class_Ozero(X5),X5) = X8 ),
    file('<stdin>',cls_diff__0__right_0) ).

fof(c_0_314_315,axiom,
    ! [X7,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Polynomial_Osmult(c_HOL_Oone__class_Oone(X5),X7,X5) = X7 ),
    file('<stdin>',cls_smult__1__left_0) ).

fof(c_0_315_316,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Odivide(X8,c_HOL_Oone__class_Oone(X5),X5) = X8 ),
    file('<stdin>',cls_divide__1_0) ).

fof(c_0_316_317,axiom,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Omonoid__mult(X5)
      | c_HOL_Otimes__class_Otimes(X8,c_HOL_Oone__class_Oone(X5),X5) = X8 ),
    file('<stdin>',cls_mult__1__right_0) ).

fof(c_0_317_318,axiom,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Omonoid__mult(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X5),X8,X5) = X8 ),
    file('<stdin>',cls_mult__1__left_0) ).

fof(c_0_318_319,axiom,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X5),X8,X5) = X8 ),
    file('<stdin>',cls_mult__1_0) ).

fof(c_0_319_320,axiom,
    ! [X3,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X5),X3,X5) = X3 ),
    file('<stdin>',cls_class__semiring_Omul__1_0) ).

fof(c_0_320_321,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(X8,c_HOL_Oone__class_Oone(X5),X5) = X8 ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I12_J_0) ).

fof(c_0_321_322,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X5),X8,X5) = X8 ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I11_J_0) ).

fof(c_0_322_323,axiom,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Omonoid__add(X5)
      | c_HOL_Oplus__class_Oplus(X8,c_HOL_Ozero__class_Ozero(X5),X5) = X8 ),
    file('<stdin>',cls_monoid__add__class_Oadd__0__right_0) ).

fof(c_0_323_324,axiom,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Omonoid__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X5),X8,X5) = X8 ),
    file('<stdin>',cls_add__0__left_0) ).

fof(c_0_324_325,axiom,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X5)
      | c_HOL_Oplus__class_Oplus(X8,c_HOL_Ozero__class_Ozero(X5),X5) = X8 ),
    file('<stdin>',cls_comm__monoid__add_Omult__1__right_0) ).

fof(c_0_325_326,axiom,
    ! [X3,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X5),X3,X5) = X3 ),
    file('<stdin>',cls_class__semiring_Oadd__0_0) ).

fof(c_0_326_327,axiom,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X5),X8,X5) = X8 ),
    file('<stdin>',cls_comm__monoid__add_Omult__1_0) ).

fof(c_0_327_328,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X8,c_HOL_Ozero__class_Ozero(X5),X5) = X8 ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I6_J_0) ).

fof(c_0_328_329,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X5),X8,X5) = X8 ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I5_J_0) ).

fof(c_0_329_330,axiom,
    ! [X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(X8,c_HOL_Oone__class_Oone(X5),X5) = X8 ),
    file('<stdin>',cls_div__by__1_0) ).

fof(c_0_330_331,axiom,
    ! [X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(X8,c_HOL_Ozero__class_Ozero(X5),X5) = X8 ),
    file('<stdin>',cls_mod__by__0_0) ).

fof(c_0_331_332,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X8,c_HOL_Ozero__class_Ozero(X5),X5) ),
    file('<stdin>',cls_dvd__0__right_0) ).

fof(c_0_332_333,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X5),X8,X5) ),
    file('<stdin>',cls_one__dvd_0) ).

fof(c_0_333_334,axiom,
    ! [X3,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X3,X3,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_eq__iff__diff__eq__0_0) ).

fof(c_0_334_335,axiom,
    ! [X3,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ominus__class_Ominus(X3,X3,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_right__minus__eq_1) ).

fof(c_0_335_336,axiom,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ominus__class_Ominus(X8,X8,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_diff__self_0) ).

fof(c_0_336_337,axiom,
    ! [X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(X8,X8,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_mod__self_0) ).

fof(c_0_337_338,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Oinverse__class_Oinverse(X8,X5) != c_HOL_Oinverse__class_Oinverse(X10,X5)
      | X8 = X10
      | X10 = c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_nonzero__inverse__eq__imp__eq_0) ).

fof(c_0_338_339,axiom,
    ! [X3,X5] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X5)
      | c_HOL_Otimes__class_Otimes(X3,X3,X5) = X3 ),
    file('<stdin>',cls_mult__idem_0) ).

fof(c_0_339_340,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X8,X8,X5) ),
    file('<stdin>',cls_dvd__refl_0) ).

fof(c_0_340_341,axiom,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X8,X5),X5) = c_HOL_Oabs__class_Oabs(X8,X5) ),
    file('<stdin>',cls_abs__minus__cancel_0) ).

fof(c_0_341_342,axiom,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X8,X5),X5) = c_HOL_Oabs__class_Oabs(X8,X5) ),
    file('<stdin>',cls_abs__idempotent_0) ).

fof(c_0_342_343,axiom,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Oinverse(X8,X5) != c_HOL_Oinverse__class_Oinverse(X10,X5)
      | X8 = X10 ),
    file('<stdin>',cls_inverse__eq__iff__eq_0) ).

fof(c_0_343_344,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X8,X5),X5) = X8 ),
    file('<stdin>',cls_inverse__inverse__eq_0) ).

fof(c_0_344_345,axiom,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ouminus__class_Ouminus(X8,X5) != c_HOL_Ouminus__class_Ouminus(X10,X5)
      | X8 = X10 ),
    file('<stdin>',cls_neg__equal__iff__equal_0) ).

fof(c_0_345_346,axiom,
    ! [X2,X3,X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_HOL_Ouminus__class_Ouminus(X3,X5) != c_HOL_Ouminus__class_Ouminus(X2,X5)
      | X3 = X2 ),
    file('<stdin>',cls_compl__eq__compl__iff_0) ).

fof(c_0_346_347,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X8,X5),X5) = X8
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_nonzero__inverse__inverse__eq_0) ).

fof(c_0_347_348,axiom,
    ! [X3,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Oinverse(X3,X5) != c_HOL_Oone__class_Oone(X5)
      | X3 = c_HOL_Oone__class_Oone(X5) ),
    file('<stdin>',cls_inverse__eq__1__iff_0) ).

fof(c_0_348_349,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Oinverse(X8,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_inverse__nonzero__iff__nonzero_0) ).

fof(c_0_349_350,axiom,
    ! [X10,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X10,X5),X5) = X10 ),
    file('<stdin>',cls_minus__equation__iff_1) ).

fof(c_0_350_351,axiom,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | X8 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X8,X5),X5) ),
    file('<stdin>',cls_equation__minus__iff_1) ).

fof(c_0_351_352,axiom,
    ! [X10,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | X10 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    file('<stdin>',cls_equation__minus__iff_0) ).

fof(c_0_352_353,axiom,
    ! [X3,X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X3,X5),X5) = X3 ),
    file('<stdin>',cls_double__compl_0) ).

fof(c_0_353_354,axiom,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X8,X5),X5) = X8 ),
    file('<stdin>',cls_minus__minus_0) ).

fof(c_0_354_355,axiom,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ouminus__class_Ouminus(X8,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_neg__equal__0__iff__equal_0) ).

fof(c_0_355_356,axiom,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ozero__class_Ozero(X5) != c_HOL_Ouminus__class_Ouminus(X8,X5)
      | c_HOL_Ozero__class_Ozero(X5) = X8 ),
    file('<stdin>',cls_neg__0__equal__iff__equal_0) ).

fof(c_0_356_357,axiom,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Oinverse__class_Oinverse(X8,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_inverse__zero__imp__zero_0) ).

fof(c_0_357_358,axiom,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(X8,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_abs__eq__0_0) ).

fof(c_0_358_359,axiom,
    ! [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) ),
    file('<stdin>',cls_inverse__nonzero__iff__nonzero_1) ).

fof(c_0_359_360,axiom,
    ! [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) ),
    file('<stdin>',cls_inverse__eq__1__iff_1) ).

fof(c_0_360_361,axiom,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X5)
      | c_HOL_Ouminus__class_Ouminus(X8,X5) != X8
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_neg__equal__zero_0) ).

fof(c_0_361_362,axiom,
    ! [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) ),
    file('<stdin>',cls_inverse__zero_0) ).

fof(c_0_362_363,axiom,
    ! [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) ),
    file('<stdin>',cls_abs__one_0) ).

fof(c_0_363_364,axiom,
    ! [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) ),
    file('<stdin>',cls_abs__eq__0_1) ).

fof(c_0_364_365,axiom,
    ! [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) ),
    file('<stdin>',cls_inverse__1_0) ).

fof(c_0_365_366,axiom,
    ! [X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ozero__class_Ozero(X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X5),X5) ),
    file('<stdin>',cls_neg__0__equal__iff__equal_1) ).

fof(c_0_366_367,axiom,
    ! [X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_minus__zero_0) ).

fof(c_0_367_368,axiom,
    ! [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) ),
    file('<stdin>',cls_neg__equal__zero_1) ).

fof(c_0_368_369,axiom,
    ! [X5] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X5)
      | c_HOL_Oone__class_Oone(X5) != c_HOL_Ozero__class_Ozero(X5) ),
    file('<stdin>',cls_one__neq__zero_0) ).

fof(c_0_369_370,axiom,
    ! [X5] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X5)
      | c_HOL_Ozero__class_Ozero(X5) != c_HOL_Oone__class_Oone(X5) ),
    file('<stdin>',cls_zero__neq__one_0) ).

fof(c_0_370_371,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_371_372,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oidom(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Oring__1__no__zero__divisors) ).

fof(c_0_372_373,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_373_374,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_374_375,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_375,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_376,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_377,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_378,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_379,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_380,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_381,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_382,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_383,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_384,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_385,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_386,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_387,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_388,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_389,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_390,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_391,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_392,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_393,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_394,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_395,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_396,axiom,
    ! [X1] :
      ( class_Ring__and__Field_Oring__1(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Oring__1) ).

fof(c_0_397,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_398,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_399,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_400,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_401,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_402,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_403,axiom,
    ! [X1] :
      ( class_Power_Opower(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('<stdin>',clsarity_Polynomial__Opoly__Power_Opower) ).

fof(c_0_404,plain,
    ! [X2,X3,X10,X8,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X2,X5),c_HOL_Otimes__class_Otimes(X8,X10,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X8,X5),c_HOL_Ominus__class_Ominus(X2,X10,X5),X5),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X8,X5),X10,X5),X5),c_HOL_Otimes__class_Otimes(X8,c_HOL_Ominus__class_Ominus(X2,X10,X5),X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_405,plain,
    ! [X20,X14,X13,X10,X8,X5] :
      ( ~ class_RealVector_Oreal__field(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X8,X10,X5),c_HOL_Otimes__class_Otimes(X13,X14,X5),X5),X20,X5) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X10,X14,X5),X20,X5),X5),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X8,X13,X5),X20,X5),X14,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_406,plain,
    ! [X20,X10,X8,X5] :
      ( ~ class_RealVector_Oreal__normed__field(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X8,X5),c_HOL_Oinverse__class_Oinverse(X10,X5),X5),X20,X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X8,X5),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X8,X10,X5),X20,X5),X5),c_HOL_Oinverse__class_Oinverse(X10,X5),X5),X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_407,plain,
    ! [X3,X30,X9,X14,X31,X5] :
      ( ~ class_Ring__and__Field_Odvd(X5)
      | ~ class_Ring__and__Field_Ocomm__ring(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X14,c_HOL_Oplus__class_Oplus(X3,X30,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X14,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X3,c_HOL_Otimes__class_Otimes(X9,X31,X5),X5),X30,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X14,X31,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_408,plain,
    ! [X3,X30,X9,X14,X31,X5] :
      ( ~ class_Ring__and__Field_Odvd(X5)
      | ~ class_Ring__and__Field_Ocomm__ring(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X14,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X3,c_HOL_Otimes__class_Otimes(X9,X31,X5),X5),X30,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X14,c_HOL_Oplus__class_Oplus(X3,X30,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X14,X31,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_409,plain,
    ! [X19,X14,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oring(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X19,X5),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X10,X8,X5),X19,X5),X14,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X19,X5),X14,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_410,plain,
    ! [X19,X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oring(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X19,X5),X13,X5) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X19,X5),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X8,X10,X5),X19,X5),X13,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_411,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X8,X10,X5),X10,X5),c_Divides_Odiv__class_Omod(X8,X10,X5),X5),X13,X5) = c_HOL_Oplus__class_Oplus(X8,X13,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_412,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,c_Divides_Odiv__class_Odiv(X8,X10,X5),X5),c_Divides_Odiv__class_Omod(X8,X10,X5),X5),X13,X5) = c_HOL_Oplus__class_Oplus(X8,X13,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_413,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X8,X5),c_HOL_Oinverse__class_Oinverse(X10,X5),X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X8,X5),c_HOL_Ominus__class_Ominus(X8,X10,X5),X5),c_HOL_Oinverse__class_Oinverse(X10,X5),X5),X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_414,plain,
    ! [X12,X2,X3,X16,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,X2,X5),c_HOL_Oinverse__class_Odivide(X16,X12,X5),X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X12,X5),c_HOL_Otimes__class_Otimes(X16,X2,X5),X5),c_HOL_Otimes__class_Otimes(X2,X12,X5),X5)
      | X12 = c_HOL_Ozero__class_Ozero(X5)
      | X2 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_415,plain,
    ! [X12,X2,X3,X16,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X2,X5),c_HOL_Oinverse__class_Odivide(X16,X12,X5),X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X12,X5),c_HOL_Otimes__class_Otimes(X16,X2,X5),X5),c_HOL_Otimes__class_Otimes(X2,X12,X5),X5)
      | X12 = c_HOL_Ozero__class_Ozero(X5)
      | X2 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_416,plain,
    ! [X19,X14,X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oring(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X19,X5),X13,X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X19,X5),X14,X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X8,X10,X5),X19,X5),X13,X5) = X14 ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_417,plain,
    ! [X19,X14,X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oring(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X19,X5),X13,X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X19,X5),X14,X5)
      | X13 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X10,X8,X5),X19,X5),X14,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_418,plain,
    ! [X19,X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Osemiring(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X19,X5),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X19,X5),X13,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X8,X10,X5),X19,X5),X13,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_419,plain,
    ! [X14,X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | ~ class_Int_Onumber__ring(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X13,X5),c_HOL_Otimes__class_Otimes(X10,X14,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X14,X5),c_HOL_Otimes__class_Otimes(X10,X13,X5),X5)
      | X13 = X14
      | X8 = X10 ),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_420,plain,
    ! [X12,X2,X3,X16,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | ~ class_Int_Onumber__ring(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X16,X2,X5),c_HOL_Otimes__class_Otimes(X3,X12,X5),X5) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X16,X12,X5),c_HOL_Otimes__class_Otimes(X3,X2,X5),X5)
      | X2 = X12
      | X16 = X3 ),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_421,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Oring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X8,X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X8,X13,X5),c_Divides_Odiv__class_Omod(X10,X13,X5),X5),X13,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_422,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X8,X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X8,X13,X5),c_Divides_Odiv__class_Omod(X10,X13,X5),X5),X13,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_423,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X8,X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X8,X13,X5),c_Divides_Odiv__class_Omod(X10,X13,X5),X5),X13,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_424,plain,
    ! [X12,X2,X3,X16,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X3,X2,X5),c_Divides_Odiv__class_Odiv(X16,X12,X5),X5) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X16,X5),c_HOL_Otimes__class_Otimes(X2,X12,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X12,X16,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_425,plain,
    ! [X13,X17,X10,X18,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(X10,X13,X5) != c_Divides_Odiv__class_Omod(X17,X13,X5)
      | c_Divides_Odiv__class_Omod(X8,X13,X5) != c_Divides_Odiv__class_Omod(X18,X13,X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X8,X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X18,X17,X5),X13,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_426,plain,
    ! [X13,X17,X10,X18,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(X10,X13,X5) != c_Divides_Odiv__class_Omod(X17,X13,X5)
      | c_Divides_Odiv__class_Omod(X8,X13,X5) != c_Divides_Odiv__class_Omod(X18,X13,X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X8,X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X18,X17,X5),X13,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_427,plain,
    ! [X13,X17,X10,X18,X8,X5] :
      ( ~ class_Divides_Oring__div(X5)
      | c_Divides_Odiv__class_Omod(X10,X13,X5) != c_Divides_Odiv__class_Omod(X17,X13,X5)
      | c_Divides_Odiv__class_Omod(X8,X13,X5) != c_Divides_Odiv__class_Omod(X18,X13,X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X8,X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X18,X17,X5),X13,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_428,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X10,X13,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X10,X8,X5),c_Divides_Odiv__class_Odiv(X13,X8,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X13,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_429,plain,
    ! [X26,X27,X29,X28,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X28,X29,X5),c_HOL_Otimes__class_Otimes(X27,X26,X5),X5) = c_HOL_Otimes__class_Otimes(X27,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X28,X29,X5),X26,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_430,plain,
    ! [X26,X27,X29,X28,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X28,X29,X5),c_HOL_Otimes__class_Otimes(X27,X26,X5),X5) = c_HOL_Otimes__class_Otimes(X28,c_HOL_Otimes__class_Otimes(X29,c_HOL_Otimes__class_Otimes(X27,X26,X5),X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_431,plain,
    ! [X12,X2,X3,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X2,X5),X12,X5) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X12,X5),c_Divides_Odiv__class_Odiv(X2,X12,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X12,X2,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X12,X3,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_432,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X8,X5),c_HOL_Oinverse__class_Oinverse(X10,X5),X5) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X8,X10,X5),c_HOL_Oinverse__class_Oinverse(X8,X5),X5),c_HOL_Oinverse__class_Oinverse(X10,X5),X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_433,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X8,X5),c_HOL_Oinverse__class_Oinverse(X10,X5),X5) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X8,X5),c_HOL_Oplus__class_Oplus(X8,X10,X5),X5),c_HOL_Oinverse__class_Oinverse(X10,X5),X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_434,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X8,X5),c_HOL_Oinverse__class_Oinverse(X10,X5),X5) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X8,X5),c_HOL_Ominus__class_Ominus(X10,X8,X5),X5),c_HOL_Oinverse__class_Oinverse(X10,X5),X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_435,plain,
    ! [X12,X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X2,X5),X12,X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X12,X2,X5),X5),X2,X5)
      | X2 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_436,plain,
    ! [X12,X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oplus__class_Oplus(X12,c_HOL_Oinverse__class_Odivide(X3,X2,X5),X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X12,X2,X5),X5),X2,X5)
      | X2 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_437,plain,
    ! [X12,X2,X3,X16,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X2,X5),c_HOL_Oinverse__class_Odivide(X12,X16,X5),X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X12,X5),c_HOL_Otimes__class_Otimes(X2,X16,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_438,plain,
    ! [X12,X2,X3,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | ~ class_Int_Onumber__ring(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X5),c_HOL_Otimes__class_Otimes(X3,X12,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X12,X5),c_HOL_Otimes__class_Otimes(X3,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_439,plain,
    ! [X3,X14,X13,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | ~ class_Int_Onumber__ring(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X13,X5),c_HOL_Otimes__class_Otimes(X3,X14,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X14,X5),c_HOL_Otimes__class_Otimes(X3,X13,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_440,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X8,c_HOL_Otimes__class_Otimes(X13,X10,X5),X5),X10,X5) = c_HOL_Oplus__class_Oplus(X13,c_Divides_Odiv__class_Odiv(X8,X10,X5),X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_441,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X8,c_HOL_Otimes__class_Otimes(X10,X13,X5),X5),X10,X5) = c_HOL_Oplus__class_Oplus(X13,c_Divides_Odiv__class_Odiv(X8,X10,X5),X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_442,plain,
    ! [X26,X27,X29,X28,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X28,X29,X5),c_HOL_Otimes__class_Otimes(X27,X26,X5),X5) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X28,X27,X5),c_HOL_Otimes__class_Otimes(X29,X26,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_443,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X8,c_Divides_Odiv__class_Omod(X10,X13,X5),X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X8,X10,X5),X13,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_444,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X8,X13,X5),X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X8,X10,X5),X13,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_445,plain,
    ! [X14,X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X8,X10,X5),c_HOL_Oplus__class_Oplus(X13,X14,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X8,X13,X5),c_HOL_Oplus__class_Oplus(X10,X14,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_446,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X8,X13,X5),X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X8,X10,X5),X13,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_447,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X8,X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X8,c_Divides_Odiv__class_Omod(X10,X13,X5),X5),X13,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_448,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X8,X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X8,X13,X5),X10,X5),X13,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_449,plain,
    ! [X14,X13,X10,X8,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X8,X13,X5),c_HOL_Oplus__class_Oplus(X10,X14,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X8,X10,X5),c_HOL_Ominus__class_Ominus(X13,X14,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_450,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X8,X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X8,c_Divides_Odiv__class_Omod(X10,X13,X5),X5),X13,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_451,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X8,X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X8,X13,X5),X10,X5),X13,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_452,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Oring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X8,X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X8,X13,X5),X10,X5),X13,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_453,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Oring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X8,X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X8,c_Divides_Odiv__class_Omod(X10,X13,X5),X5),X13,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_454,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X10,X8,X5),c_Divides_Odiv__class_Odiv(X13,X8,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X10,X13,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X13,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_455,plain,
    ! [X3,X32,X14,X13,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | ~ class_Int_Onumber__ring(X5)
      | c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X32,X13,X5),X5) != c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X32,X14,X5),X5)
      | X13 = X14
      | X32 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_456,plain,
    ! [X2,X3,X4,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X3,X2,X5),X4,X5) = c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X3,X4,X5),c_Power_Opower__class_Opower(X2,X4,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_457,plain,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | X8 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X8,X10,X5),X10,X5),c_Divides_Odiv__class_Omod(X8,X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_458,plain,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X8,X10,X5),X10,X5),c_Divides_Odiv__class_Omod(X8,X10,X5),X5) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_459,plain,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,c_Divides_Odiv__class_Odiv(X8,X10,X5),X5),c_Divides_Odiv__class_Omod(X8,X10,X5),X5) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_460,plain,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X8,X10,X5),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X8,X10,X5),X10,X5),X5) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_461,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5)
      | X13 = c_HOL_Ozero__class_Ozero(X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X8,X13,X5),c_HOL_Otimes__class_Otimes(X10,X13,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_462,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5)
      | X13 = c_HOL_Ozero__class_Ozero(X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X13,X8,X5),c_HOL_Otimes__class_Otimes(X13,X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_463,plain,
    ! [X14,X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X8,X13,X5),c_HOL_Otimes__class_Otimes(X10,X14,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X13,X14,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_464,plain,
    ! [X4,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X8,X10,X5),X4,X5) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X8,X4,X5),c_Power_Opower__class_Opower(X10,X4,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_465,plain,
    ! [X4,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X8,X10,X5),X4,X5) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X8,X4,X5),c_Power_Opower__class_Opower(X10,X4,X5),X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_466,plain,
    ! [X2,X3,X5] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X5),c_HOL_Otimes__class_Otimes(X2,X2,X5),X5) != c_HOL_Ozero__class_Ozero(X5)
      | X3 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_467,plain,
    ! [X2,X3,X5] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X5),c_HOL_Otimes__class_Otimes(X2,X2,X5),X5) != c_HOL_Ozero__class_Ozero(X5)
      | X2 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_468,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X8,X10,X5),X13,X5) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X8,X13,X5),c_HOL_Oinverse__class_Odivide(X10,X13,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_469,plain,
    ! [X22,X2,X3,X5] :
      ( ~ class_RealVector_Oreal__normed__field(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X3,X2,X5),X22,X5) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,X22,X5),c_HOL_Oinverse__class_Odivide(X2,X22,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_470,plain,
    ! [X2,X3,X6,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X3,X2,X5),X6,X5) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X3,X6,X5),c_Power_Opower__class_Opower(X2,X6,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_471,plain,
    ! [X4,X10,X8,X5] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X5)
      | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X8,X10,X5),X4,X5) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X8,X4,X5),c_Power_Opower__class_Opower(X10,X4,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_472,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X8,X10,X5),X13,X5) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X13,X5),c_HOL_Otimes__class_Otimes(X10,X13,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_473,plain,
    ! [X2,X23,X3,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(X23,c_HOL_Oplus__class_Oplus(X3,X2,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X23,X3,X5),c_HOL_Otimes__class_Otimes(X23,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_474,plain,
    ! [X17,X10,X8,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(X8,c_HOL_Oplus__class_Oplus(X10,X17,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X10,X5),c_HOL_Otimes__class_Otimes(X8,X17,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_475,plain,
    ! [X22,X2,X3,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X2,X5),X22,X5) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X22,X5),c_HOL_Otimes__class_Otimes(X2,X22,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_476,plain,
    ! [X10,X18,X8,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X8,X18,X5),X10,X5) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X10,X5),c_HOL_Otimes__class_Otimes(X18,X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_477,plain,
    ! [X12,X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(X2,X12,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X5),c_HOL_Otimes__class_Otimes(X3,X12,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_478,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X8,X10,X5),X13,X5) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X13,X5),c_HOL_Otimes__class_Otimes(X10,X13,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_479,plain,
    ! [X11,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X11,X5),c_HOL_Otimes__class_Otimes(X10,X11,X5),X5) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X8,X10,X5),X11,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_480,plain,
    ! [X2,X23,X3,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(X23,c_HOL_Ominus__class_Ominus(X3,X2,X5),X5) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X23,X3,X5),c_HOL_Otimes__class_Otimes(X23,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_481,plain,
    ! [X17,X10,X8,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(X8,c_HOL_Ominus__class_Ominus(X10,X17,X5),X5) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X8,X10,X5),c_HOL_Otimes__class_Otimes(X8,X17,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_482,plain,
    ! [X10,X18,X8,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X8,X18,X5),X10,X5) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X8,X10,X5),c_HOL_Otimes__class_Otimes(X18,X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_483,plain,
    ! [X22,X2,X3,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X5),X22,X5) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X22,X5),c_HOL_Otimes__class_Otimes(X2,X22,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_484,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X8,c_HOL_Otimes__class_Otimes(X10,X13,X5),X5),X10,X5) = c_Divides_Odiv__class_Omod(X8,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_485,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X8,c_HOL_Otimes__class_Otimes(X13,X10,X5),X5),X10,X5) = c_Divides_Odiv__class_Omod(X8,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_486,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X8,X10,X5),X13,X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X8,X13,X5),c_HOL_Oinverse__class_Odivide(X10,X13,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_487,plain,
    ! [X22,X2,X3,X5] :
      ( ~ class_RealVector_Oreal__normed__field(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,X2,X5),X22,X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X22,X5),c_HOL_Oinverse__class_Odivide(X2,X22,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_488,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X13,X8,X5),c_HOL_Otimes__class_Otimes(X13,X10,X5),X5) = c_HOL_Otimes__class_Otimes(X13,c_Divides_Odiv__class_Omod(X8,X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_489,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X8,X13,X5),c_HOL_Otimes__class_Otimes(X10,X13,X5),X5) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X8,X10,X5),X13,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_490,plain,
    ! [X4,X8,X5] :
      ( ~ class_Ring__and__Field_Oring__1(X5)
      | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X8,X5),X4,X5) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X5),X5),X4,X5),c_Power_Opower__class_Opower(X8,X4,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_491,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X10,X8,X5),X13,X5) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X10,X13,X5),X8,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_492,plain,
    ! [X4,X11,X9,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X9,X11,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,X4,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,c_Divides_Odiv__class_Omod(X11,X4,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_493,plain,
    ! [X4,X11,X9,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X9,X11,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,c_Divides_Odiv__class_Omod(X11,X4,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_494,plain,
    ! [X12,X2,X3,X21,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X12,X5),X5) != c_HOL_Oplus__class_Oplus(X2,X21,X5)
      | c_HOL_Oplus__class_Oplus(X3,X12,X5) = X21 ),
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_495,plain,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Oring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X8,X5),X10,X5) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X8,X10,X5),X5),X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_496,plain,
    ! [X2,X3,X9,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X9,c_Polynomial_Opoly__gcd(X3,X2,X5),tc_Polynomial_Opoly(X5))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,X2,tc_Polynomial_Opoly(X5))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,X3,tc_Polynomial_Opoly(X5)) ),
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_497,plain,
    ! [X2,X3,X9,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X9,c_Polynomial_Opoly__gcd(X3,X2,X5),tc_Polynomial_Opoly(X5))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,X2,tc_Polynomial_Opoly(X5))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,X3,tc_Polynomial_Opoly(X5)) ),
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_498,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X8,X13,X5),c_HOL_Otimes__class_Otimes(X10,X13,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_499,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X13,X8,X5),c_HOL_Otimes__class_Otimes(X13,X10,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_500,plain,
    ! [X2,X3,X4,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X3,X4,X5),c_Power_Opower__class_Opower(X2,X4,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_501,plain,
    ! [X4,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X5),c_Power_Opower__class_Opower(X8,X4,X5),X5) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X5),X8,X5),X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_502,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X8,X13,X5),c_HOL_Otimes__class_Otimes(X10,X13,X5),X5) = c_HOL_Oinverse__class_Odivide(X8,X10,X5)
      | X13 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_503,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X13,X8,X5),c_HOL_Otimes__class_Otimes(X13,X10,X5),X5) = c_HOL_Oinverse__class_Odivide(X8,X10,X5)
      | X13 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_504,plain,
    ! [X11,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X11,X5),X11,X5) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X8,c_HOL_Oone__class_Oone(X5),X5),X11,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_505,plain,
    ! [X11,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X11,c_HOL_Otimes__class_Otimes(X8,X11,X5),X5) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X8,c_HOL_Oone__class_Oone(X5),X5),X11,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_506,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X8,c_HOL_Oplus__class_Oplus(X10,X13,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X13,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_507,plain,
    ! [X12,X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Ominus__class_Ominus(X2,X12,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X12,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_508,plain,
    ! [X4,X11,X9,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X9,c_Divides_Odiv__class_Omod(X11,X4,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,X11,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_509,plain,
    ! [X4,X11,X9,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X9,c_Divides_Odiv__class_Omod(X11,X4,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,X4,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,X11,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_510,plain,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X10,X8,X5),X10,X5) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X8,X10,X5),c_HOL_Oone__class_Oone(X5),X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_511,plain,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X8,X10,X5),X10,X5) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X8,X10,X5),c_HOL_Oone__class_Oone(X5),X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_512,plain,
    ! [X10,X18,X8,X5] :
      ( ~ class_Divides_Oring__div(X5)
      | c_Divides_Odiv__class_Omod(X8,X10,X5) != c_Divides_Odiv__class_Omod(X18,X10,X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X8,X5),X10,X5) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X18,X5),X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_513,plain,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X8,X5),c_HOL_Oabs__class_Oabs(X10,X5),X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X8,X5),c_HOL_Oabs__class_Oabs(X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_514,plain,
    ! [X6,X7,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X7,X6,tc_Polynomial_Opoly(X5))
      | X8 = c_HOL_Ozero__class_Ozero(X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X8,X7,X5),X6,tc_Polynomial_Opoly(X5)) ),
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_515,plain,
    ! [X6,X7,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X7,X6,tc_Polynomial_Opoly(X5))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X7,c_Polynomial_Osmult(X8,X6,X5),tc_Polynomial_Opoly(X5))
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_516,plain,
    ! [X6,X7,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X7,X6,tc_Polynomial_Opoly(X5))
      | X8 = c_HOL_Ozero__class_Ozero(X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X7,c_Polynomial_Osmult(X8,X6,X5),tc_Polynomial_Opoly(X5)) ),
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_517,plain,
    ! [X12,X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,X2,X5),X12,X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X12,X5),X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_518,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X13,X8,X5),c_HOL_Otimes__class_Otimes(X13,X10,X5),X5) = c_Divides_Odiv__class_Odiv(X8,X10,X5)
      | X13 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_519,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X8,X13,X5),c_HOL_Otimes__class_Otimes(X10,X13,X5),X5) = c_Divides_Odiv__class_Odiv(X8,X10,X5)
      | X13 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_520,plain,
    ! [X2,X3,X9,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X9,X2,tc_Polynomial_Opoly(X5))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,c_Polynomial_Opoly__gcd(X3,X2,X5),tc_Polynomial_Opoly(X5)) ),
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_521,plain,
    ! [X2,X3,X9,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X9,X3,tc_Polynomial_Opoly(X5))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X9,c_Polynomial_Opoly__gcd(X3,X2,X5),tc_Polynomial_Opoly(X5)) ),
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_522,plain,
    ! [X6,X7,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X7,X6,tc_Polynomial_Opoly(X5))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X8,X7,X5),X6,tc_Polynomial_Opoly(X5)) ),
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_523,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_OrderedGroup_Oab__semigroup__mult(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X8,X10,X5),X13,X5) = c_HOL_Otimes__class_Otimes(X8,c_HOL_Otimes__class_Otimes(X10,X13,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_524,plain,
    ! [X27,X29,X28,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X28,X29,X5),X27,X5) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X28,X27,X5),X29,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_525,plain,
    ! [X27,X29,X28,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X28,X29,X5),X27,X5) = c_HOL_Otimes__class_Otimes(X28,c_HOL_Otimes__class_Otimes(X29,X27,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_526,plain,
    ! [X26,X27,X28,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(X28,c_HOL_Otimes__class_Otimes(X27,X26,X5),X5) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X28,X27,X5),X26,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_527,plain,
    ! [X26,X27,X28,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(X28,c_HOL_Otimes__class_Otimes(X27,X26,X5),X5) = c_HOL_Otimes__class_Otimes(X27,c_HOL_Otimes__class_Otimes(X28,X26,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_528,plain,
    ! [X12,X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X2,X12,X5),X5) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X3,X2,X5),X12,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_529,plain,
    ! [X12,X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Polynomial_Opoly__gcd(X3,c_Polynomial_Opoly__gcd(X2,X12,X5),X5) = c_Polynomial_Opoly__gcd(X2,c_Polynomial_Opoly__gcd(X3,X12,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_125]) ).

fof(c_0_530,plain,
    ! [X12,X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Polynomial_Opoly__gcd(c_Polynomial_Opoly__gcd(X3,X2,X5),X12,X5) = c_Polynomial_Opoly__gcd(X3,c_Polynomial_Opoly__gcd(X2,X12,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_126]) ).

fof(c_0_531,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X5)
      | c_HOL_Oplus__class_Oplus(X8,c_HOL_Oplus__class_Oplus(X10,X13,X5),X5) = c_HOL_Oplus__class_Oplus(X10,c_HOL_Oplus__class_Oplus(X8,X13,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_127]) ).

fof(c_0_532,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X8,X10,X5),X13,X5) = c_HOL_Oplus__class_Oplus(X8,c_HOL_Oplus__class_Oplus(X10,X13,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_533,plain,
    ! [X12,X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X12,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X2,X5),X12,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_129]) ).

fof(c_0_534,plain,
    ! [X12,X2,X3,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X12,X5),X5) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X12,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_130]) ).

fof(c_0_535,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X8,X10,X5),X13,X5) = c_HOL_Oplus__class_Oplus(X8,c_HOL_Oplus__class_Oplus(X10,X13,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_536,plain,
    ! [X14,X13,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X8,c_HOL_Oplus__class_Oplus(X13,X14,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X8,X13,X5),X14,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_132]) ).

fof(c_0_537,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X8,X10,X5),X13,X5) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X8,X13,X5),X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_538,plain,
    ! [X14,X13,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X8,c_HOL_Oplus__class_Oplus(X13,X14,X5),X5) = c_HOL_Oplus__class_Oplus(X13,c_HOL_Oplus__class_Oplus(X8,X14,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_134]) ).

fof(c_0_539,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X8,X10,X5),X13,X5) = c_HOL_Oplus__class_Oplus(X8,c_HOL_Oplus__class_Oplus(X10,X13,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_540,plain,
    ! [X7,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X5)
      | c_Polynomial_Osmult(X8,c_Polynomial_Osmult(X10,X7,X5),X5) = c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X8,X10,X5),X7,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_136]) ).

fof(c_0_541,plain,
    ! [X4,X8,X5] :
      ( ~ class_OrderedGroup_Omonoid__mult(X5)
      | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X8,X4,X5),X8,X5) = c_HOL_Otimes__class_Otimes(X8,c_Power_Opower__class_Opower(X8,X4,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_137]) ).

fof(c_0_542,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(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_543,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X10,X13,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X8,X10,X5),X13,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_139]) ).

fof(c_0_544,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X8,X13,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X8,X10,X5),X13,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_140]) ).

fof(c_0_545,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X8,X10,X5),X13,X5) = c_Divides_Odiv__class_Omod(X8,X13,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X13,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_141]) ).

fof(c_0_546,plain,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X8,X5),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X10,X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_142]) ).

fof(c_0_547,plain,
    ! [X4,X8,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X8,X5),X4,X5),X5) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X8,X4,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_143]) ).

fof(c_0_548,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X8,X5),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_144]) ).

fof(c_0_549,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X8,c_HOL_Ozero__class_Ozero(X5),X5),c_HOL_Otimes__class_Otimes(X10,c_HOL_Ozero__class_Ozero(X5),X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_145]) ).

fof(c_0_550,plain,
    ! [X12,X2,X3,X16,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Odivide(X3,X2,X5) != c_HOL_Oinverse__class_Odivide(X16,X12,X5)
      | X12 = c_HOL_Ozero__class_Ozero(X5)
      | X2 = c_HOL_Ozero__class_Ozero(X5)
      | c_HOL_Otimes__class_Otimes(X3,X12,X5) = c_HOL_Otimes__class_Otimes(X16,X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_146]) ).

fof(c_0_551,plain,
    ! [X12,X2,X3,X16,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Otimes__class_Otimes(X3,X12,X5) != c_HOL_Otimes__class_Otimes(X16,X2,X5)
      | X12 = c_HOL_Ozero__class_Ozero(X5)
      | X2 = c_HOL_Ozero__class_Ozero(X5)
      | c_HOL_Oinverse__class_Odivide(X3,X2,X5) = c_HOL_Oinverse__class_Odivide(X16,X12,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_147]) ).

fof(c_0_552,plain,
    ! [X2,X3,X5] :
      ( ~ class_Divides_Oring__div(X5)
      | c_Divides_Odiv__class_Odiv(X3,c_HOL_Ouminus__class_Ouminus(X2,X5),X5) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X3,X2,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_148]) ).

fof(c_0_553,plain,
    ! [X2,X3,X5] :
      ( ~ class_Divides_Oring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X3,X5),X2,X5) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X3,X2,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_149]) ).

fof(c_0_554,plain,
    ! [X12,X2,X3,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X12,X5),X5) != X2
      | X3 = c_HOL_Ouminus__class_Ouminus(X12,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_150]) ).

fof(c_0_555,plain,
    ! [X6,X7,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X8,X7,X5),X6,tc_Polynomial_Opoly(X5))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X7,X6,tc_Polynomial_Opoly(X5))
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_151]) ).

fof(c_0_556,plain,
    ! [X6,X7,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X7,c_Polynomial_Osmult(X8,X6,X5),tc_Polynomial_Opoly(X5))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X7,X6,tc_Polynomial_Opoly(X5))
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_152]) ).

fof(c_0_557,plain,
    ! [X6,X7,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X8,X7,X5),X6,tc_Polynomial_Opoly(X5))
      | X8 = c_HOL_Ozero__class_Ozero(X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X7,X6,tc_Polynomial_Opoly(X5)) ),
    inference(fof_simplification,[status(thm)],[c_0_153]) ).

fof(c_0_558,plain,
    ! [X6,X7,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X7,c_Polynomial_Osmult(X8,X6,X5),tc_Polynomial_Opoly(X5))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X7,X6,tc_Polynomial_Opoly(X5)) ),
    inference(fof_simplification,[status(thm)],[c_0_154]) ).

fof(c_0_559,plain,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_HOL_Otimes__class_Otimes(X8,c_Divides_Odiv__class_Odiv(X10,X8,X5),X5) = X10
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_155]) ).

fof(c_0_560,plain,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X10,X8,X5),X8,X5) = X10
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_156]) ).

fof(c_0_561,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X8,c_HOL_Otimes__class_Otimes(X10,X13,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_157]) ).

fof(c_0_562,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X8,c_HOL_Otimes__class_Otimes(X10,X13,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X13,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_158]) ).

fof(c_0_563,plain,
    ! [X6,X7,X8] :
      ( c_Ring__and__Field_Odvd__class_Odvd(X7,c_Polynomial_Osmult(X8,X6,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X7,X6,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(fof_simplification,[status(thm)],[c_0_159]) ).

fof(c_0_564,plain,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X8,X10,X5),X5) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X10,X8,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_160]) ).

fof(c_0_565,plain,
    ! [X11,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X11,X11,X5) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X5),c_HOL_Oone__class_Oone(X5),X5),X11,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_161]) ).

fof(c_0_566,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X8,X10,X5),X5) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X10,X5),c_HOL_Oinverse__class_Oinverse(X8,X5),X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_162]) ).

fof(c_0_567,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X8,X10,X5),X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X8,X5),c_HOL_Oabs__class_Oabs(X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_163]) ).

fof(c_0_568,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X8,X10,X5),X5) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X8,X5),c_HOL_Oinverse__class_Oinverse(X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_164]) ).

fof(c_0_569,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X8,X10,X5),X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X8,X5),c_HOL_Oabs__class_Oabs(X10,X5),X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_165]) ).

fof(c_0_570,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X8,X13,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X10,X13,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_166]) ).

fof(c_0_571,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X8,X10,X5),X5) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X8,X5),c_HOL_Oabs__class_Oabs(X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_167]) ).

fof(c_0_572,plain,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X8,X5),c_HOL_Ouminus__class_Ouminus(X10,X5),X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X8,X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_168]) ).

fof(c_0_573,plain,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X8,X10,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X10,X5),c_HOL_Ouminus__class_Ouminus(X8,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_169]) ).

fof(c_0_574,plain,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X8,X10,X5),X5) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X8,X5),c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_170]) ).

fof(c_0_575,plain,
    ! [X2,X3,X5] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X5)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X3,X2,X5),X5) = c_HOL_Otimes__class_Otimes(X3,X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_171]) ).

fof(c_0_576,plain,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X10,X8,X5),X10,X5) = c_Divides_Odiv__class_Omod(X8,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_172]) ).

fof(c_0_577,plain,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X8,X10,X5),X10,X5) = c_Divides_Odiv__class_Omod(X8,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_173]) ).

fof(c_0_578,plain,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X8,X10,X5),X10,X5) = c_Divides_Odiv__class_Omod(X8,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_174]) ).

fof(c_0_579,plain,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Oplus__class_Oplus(X8,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X8,X5),X10,X5),X5) = X10 ),
    inference(fof_simplification,[status(thm)],[c_0_175]) ).

fof(c_0_580,plain,
    ! [X4,X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X8,X4,X5),X5) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X8,X5),X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_176]) ).

fof(c_0_581,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X8,X10,X5),X5) = c_HOL_Oinverse__class_Odivide(X8,c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_177]) ).

fof(c_0_582,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X8,X10,X5),X5) = c_HOL_Oinverse__class_Odivide(X8,c_HOL_Ouminus__class_Ouminus(X10,X5),X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_178]) ).

fof(c_0_583,plain,
    ! [X4,X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X8,X4,X5),X5) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X8,X5),X4,X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_179]) ).

fof(c_0_584,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oring(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X8,X10,X5),X5) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X8,X5),X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_180]) ).

fof(c_0_585,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oring(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X8,X10,X5),X5) = c_HOL_Otimes__class_Otimes(X8,c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_181]) ).

fof(c_0_586,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X8,X10,X5),X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X8,X5),X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_182]) ).

fof(c_0_587,plain,
    ! [X10,X8,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X8,X5),X10,X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X8,X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_183]) ).

fof(c_0_588,plain,
    ! [X2,X3,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X3,X5),X2,X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_184]) ).

fof(c_0_589,plain,
    ! [X10,X8,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(X8,c_HOL_Ouminus__class_Ouminus(X10,X5),X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X8,X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_185]) ).

fof(c_0_590,plain,
    ! [X23,X3,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(X23,c_HOL_Ouminus__class_Ouminus(X3,X5),X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X23,X3,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_186]) ).

fof(c_0_591,plain,
    ! [X2,X3,X5] :
      ( ~ class_RealVector_Oreal__normed__field(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,X5),X2,X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_187]) ).

fof(c_0_592,plain,
    ! [X4,X8,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X8,X4,X5),X5) = c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X8,X5),X4,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_188]) ).

fof(c_0_593,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | c_HOL_Otimes__class_Otimes(X8,X8,X5) != c_HOL_Otimes__class_Otimes(X10,X10,X5)
      | X8 = c_HOL_Ouminus__class_Ouminus(X10,X5)
      | X8 = X10 ),
    inference(fof_simplification,[status(thm)],[c_0_189]) ).

fof(c_0_594,plain,
    ! [X12,X2,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X12,X5),c_HOL_Oplus__class_Oplus(X2,X12,X5),X5) = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_190]) ).

fof(c_0_595,plain,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X8,X5),c_HOL_Oplus__class_Oplus(X8,X10,X5),X5) = X10 ),
    inference(fof_simplification,[status(thm)],[c_0_191]) ).

fof(c_0_596,plain,
    ! [X13,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Ozero__class_Ozero(X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X13,X5),X13,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_192]) ).

fof(c_0_597,plain,
    ! [X13,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X13,X5),X13,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_193]) ).

fof(c_0_598,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X8,X10,X5),X5) = c_HOL_Oinverse__class_Odivide(X10,X8,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_194]) ).

fof(c_0_599,plain,
    ! [X11,X9,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X11,X9,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X11,c_HOL_Oabs__class_Oabs(X9,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_195]) ).

fof(c_0_600,plain,
    ! [X11,X9,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X11,X9,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X11,X5),X9,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_196]) ).

fof(c_0_601,plain,
    ! [X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X3,X5),X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_197]) ).

fof(c_0_602,plain,
    ! [X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Ouminus__class_Ouminus(X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_198]) ).

fof(c_0_603,plain,
    ! [X12,X2,X3,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | ~ class_Int_Onumber__ring(X5)
      | c_HOL_Oplus__class_Oplus(X3,X2,X5) != c_HOL_Oplus__class_Oplus(X3,X12,X5)
      | X2 = X12 ),
    inference(fof_simplification,[status(thm)],[c_0_199]) ).

fof(c_0_604,plain,
    ! [X4,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X5),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X5),X4,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_200]) ).

fof(c_0_605,plain,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X8,X10,X5),X5) = c_HOL_Ominus__class_Ominus(X10,X8,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_201]) ).

fof(c_0_606,plain,
    ! [X13,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | X8 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X8,X13,X5),X13,X5)
      | X13 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_202]) ).

fof(c_0_607,plain,
    ! [X13,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X8,X13,X5),X13,X5) = X8
      | X13 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_203]) ).

fof(c_0_608,plain,
    ! [X13,X10,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | X10 = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X10,X13,X5),X13,X5)
      | X13 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_204]) ).

fof(c_0_609,plain,
    ! [X13,X10,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X10,X13,X5),X13,X5) = X10
      | X13 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_205]) ).

fof(c_0_610,plain,
    ! [X24,X25,X3,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X3,X3,X5) != c_HOL_Ominus__class_Ominus(X25,X24,X5)
      | X25 = X24 ),
    inference(fof_simplification,[status(thm)],[c_0_206]) ).

fof(c_0_611,plain,
    ! [X2,X23,X3,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X23,X2,X5) != c_HOL_Ominus__class_Ominus(X3,X3,X5)
      | X23 = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_207]) ).

fof(c_0_612,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X5)
      | c_HOL_Oplus__class_Oplus(X8,X10,X5) != c_HOL_Oplus__class_Oplus(X8,X13,X5)
      | X10 = X13 ),
    inference(fof_simplification,[status(thm)],[c_0_208]) ).

fof(c_0_613,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X5)
      | c_HOL_Oplus__class_Oplus(X8,X10,X5) != c_HOL_Oplus__class_Oplus(X8,X13,X5)
      | X10 = X13 ),
    inference(fof_simplification,[status(thm)],[c_0_209]) ).

fof(c_0_614,plain,
    ! [X13,X10,X8,X5] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X5)
      | c_HOL_Oplus__class_Oplus(X10,X8,X5) != c_HOL_Oplus__class_Oplus(X13,X8,X5)
      | X10 = X13 ),
    inference(fof_simplification,[status(thm)],[c_0_210]) ).

fof(c_0_615,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X8,X5),c_HOL_Ouminus__class_Ouminus(X10,X5),X5) = c_HOL_Oinverse__class_Odivide(X8,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_211]) ).

fof(c_0_616,plain,
    ! [X13,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | X13 = c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X8,X13,X5),X13,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_212]) ).

fof(c_0_617,plain,
    ! [X13,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | X13 = c_HOL_Ozero__class_Ozero(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X8,X13,X5),X13,X5) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_213]) ).

fof(c_0_618,plain,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X8,X10,X5),X10,X5) = X8
      | X10 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_214]) ).

fof(c_0_619,plain,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X10,X8,X5),X10,X5) = X8
      | X10 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_215]) ).

fof(c_0_620,plain,
    ! [X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X3,X2,X5),X3,tc_Polynomial_Opoly(X5)) ),
    inference(fof_simplification,[status(thm)],[c_0_216]) ).

fof(c_0_621,plain,
    ! [X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X3,X2,X5),X2,tc_Polynomial_Opoly(X5)) ),
    inference(fof_simplification,[status(thm)],[c_0_217]) ).

fof(c_0_622,plain,
    ! [X11,X9,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X11,c_HOL_Oabs__class_Oabs(X9,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X11,X9,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_218]) ).

fof(c_0_623,plain,
    ! [X11,X9,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X11,X5),X9,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X11,X9,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_219]) ).

fof(c_0_624,plain,
    ! [X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X3,X5),X2,X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_220]) ).

fof(c_0_625,plain,
    ! [X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X3,c_HOL_Ouminus__class_Ouminus(X2,X5),X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_221]) ).

fof(c_0_626,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X8,X5),c_HOL_Ouminus__class_Ouminus(X10,X5),X5) = c_HOL_Oinverse__class_Odivide(X8,X10,X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_222]) ).

fof(c_0_627,plain,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X8,X10,X5),X10,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_223]) ).

fof(c_0_628,plain,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X10,X8,X5),X10,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_224]) ).

fof(c_0_629,plain,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X8,X10,X5),X10,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_225]) ).

fof(c_0_630,plain,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X8,X10,X5),X10,X5) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_226]) ).

fof(c_0_631,plain,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X8,X10,X5),X10,X5) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_227]) ).

fof(c_0_632,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X8,c_HOL_Otimes__class_Otimes(X10,X8,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_228]) ).

fof(c_0_633,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X8,c_HOL_Otimes__class_Otimes(X8,X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_229]) ).

fof(c_0_634,plain,
    ! [X9,X10,X5] :
      ( ~ class_Ring__and__Field_Odvd(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X10,c_HOL_Otimes__class_Otimes(X10,X9,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_230]) ).

fof(c_0_635,plain,
    ! [X10,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X10,X5),c_HOL_Ouminus__class_Ouminus(X10,X5),X5) = c_HOL_Otimes__class_Otimes(X10,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_231]) ).

fof(c_0_636,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oring(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X8,X5),c_HOL_Ouminus__class_Ouminus(X10,X5),X5) = c_HOL_Otimes__class_Otimes(X8,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_232]) ).

fof(c_0_637,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X8,X5),c_HOL_Oabs__class_Oabs(X8,X5),X5) = c_HOL_Otimes__class_Otimes(X8,X8,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_233]) ).

fof(c_0_638,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oring(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X8,X5),X10,X5) = c_HOL_Otimes__class_Otimes(X8,c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_234]) ).

fof(c_0_639,plain,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(X10,X8,X5) != c_HOL_Ozero__class_Ozero(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_235]) ).

fof(c_0_640,plain,
    ! [X10,X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(X10,X8,X5) = c_HOL_Ozero__class_Ozero(X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X8,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_236]) ).

fof(c_0_641,plain,
    ! [X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Int_Onumber__ring(X5)
      | c_HOL_Oinverse__class_Odivide(X3,X2,X5) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Oinverse(X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_237]) ).

fof(c_0_642,plain,
    ! [X2,X3,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X3,X2,X5) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Ouminus__class_Ouminus(X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_238]) ).

fof(c_0_643,plain,
    ! [X2,X3,X5] :
      ( ~ class_Int_Onumber__ring(X5)
      | c_HOL_Ominus__class_Ominus(X3,X2,X5) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Ouminus__class_Ouminus(X2,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_239]) ).

fof(c_0_644,plain,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ominus__class_Ominus(X8,X10,X5) = c_HOL_Oplus__class_Oplus(X8,c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_240]) ).

fof(c_0_645,plain,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X8,X10,X5) = c_HOL_Oplus__class_Oplus(X8,c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_241]) ).

fof(c_0_646,plain,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ominus__class_Ominus(X8,c_HOL_Ouminus__class_Ouminus(X10,X5),X5) = c_HOL_Oplus__class_Oplus(X8,X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_242]) ).

fof(c_0_647,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Odivide(X8,X10,X5) = c_HOL_Otimes__class_Otimes(X8,c_HOL_Oinverse__class_Oinverse(X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_243]) ).

fof(c_0_648,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(fof_simplification,[status(thm)],[c_0_244]) ).

fof(c_0_649,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(fof_simplification,[status(thm)],[c_0_245]) ).

fof(c_0_650,plain,
    ! [X4,X8,X5] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X5)
      | ~ class_Ring__and__Field_Ono__zero__divisors(X5)
      | ~ class_Ring__and__Field_Omult__zero(X5)
      | ~ class_Power_Opower(X5)
      | c_Power_Opower__class_Opower(X8,X4,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_246]) ).

fof(c_0_651,plain,
    ! [X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(X3,X2,X5) = c_HOL_Otimes__class_Otimes(X2,X3,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_247]) ).

fof(c_0_652,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(X8,X10,X5) = c_HOL_Otimes__class_Otimes(X10,X8,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_248]) ).

fof(c_0_653,plain,
    ! [X13,X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X8,X13,X5) = c_HOL_Oplus__class_Oplus(X13,X8,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_249]) ).

fof(c_0_654,plain,
    ! [X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X3,X2,X5) = c_HOL_Oplus__class_Oplus(X2,X3,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_250]) ).

fof(c_0_655,plain,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X5)
      | c_HOL_Oplus__class_Oplus(X8,X10,X5) = c_HOL_Oplus__class_Oplus(X10,X8,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_251]) ).

fof(c_0_656,plain,
    ! [X2,X3,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_Polynomial_Opoly__gcd(X3,X2,X5) = c_Polynomial_Opoly__gcd(X2,X3,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_252]) ).

fof(c_0_657,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Otimes__class_Otimes(X8,X10,X5) != c_HOL_Oone__class_Oone(X5)
      | c_HOL_Oinverse__class_Oinverse(X8,X5) = X10 ),
    inference(fof_simplification,[status(thm)],[c_0_253]) ).

fof(c_0_658,plain,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Oplus__class_Oplus(X8,X10,X5) != c_HOL_Ozero__class_Ozero(X5)
      | c_HOL_Ouminus__class_Ouminus(X8,X5) = X10 ),
    inference(fof_simplification,[status(thm)],[c_0_254]) ).

fof(c_0_659,plain,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Oplus__class_Oplus(X8,X10,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ouminus__class_Ouminus(X10,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_255]) ).

fof(c_0_660,plain,
    ! [X3,X5] :
      ( ~ class_Int_Onumber__ring(X5)
      | c_HOL_Ouminus__class_Ouminus(X3,X5) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X5),X5),X3,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_256]) ).

fof(c_0_661,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X5)
      | c_HOL_Otimes__class_Otimes(X8,X10,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_257]) ).

fof(c_0_662,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X5)
      | c_HOL_Otimes__class_Otimes(X8,X10,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_258]) ).

fof(c_0_663,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X5)
      | c_HOL_Otimes__class_Otimes(X8,X10,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_259]) ).

fof(c_0_664,plain,
    ! [X2,X3,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | ~ class_Int_Onumber__ring(X5)
      | c_HOL_Ominus__class_Ominus(X3,X2,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X3 = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_260]) ).

fof(c_0_665,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X5),X8,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_261]) ).

fof(c_0_666,plain,
    ! [X3,X8,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | ~ class_Int_Onumber__ring(X5)
      | X3 != c_HOL_Oplus__class_Oplus(X3,X8,X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_262]) ).

fof(c_0_667,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Odivide(X8,X10,X5) != c_HOL_Oone__class_Oone(X5)
      | X10 = c_HOL_Ozero__class_Ozero(X5)
      | X8 = X10 ),
    inference(fof_simplification,[status(thm)],[c_0_263]) ).

fof(c_0_668,plain,
    ! [X15,X9,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | c_HOL_Oabs__class_Oabs(X15,X5) != c_HOL_Oabs__class_Oabs(X9,X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X15,X9,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_264]) ).

fof(c_0_669,plain,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(X8,X8,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_265]) ).

fof(c_0_670,plain,
    ! [X4,X8,X5] :
      ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X5)
      | c_Power_Opower__class_Opower(X8,X4,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_266]) ).

fof(c_0_671,plain,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X8,X10,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X8 = X10 ),
    inference(fof_simplification,[status(thm)],[c_0_267]) ).

fof(c_0_672,plain,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ominus__class_Ominus(X8,X10,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X8 = X10 ),
    inference(fof_simplification,[status(thm)],[c_0_268]) ).

fof(c_0_673,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X8,X5),X8,X5) = c_HOL_Oone__class_Oone(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_269]) ).

fof(c_0_674,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X8,X5),X8,X5) = c_HOL_Oone__class_Oone(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_270]) ).

fof(c_0_675,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Otimes__class_Otimes(X8,c_HOL_Oinverse__class_Oinverse(X8,X5),X5) = c_HOL_Oone__class_Oone(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_271]) ).

fof(c_0_676,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X8,X5),X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X8,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_272]) ).

fof(c_0_677,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X8,X5),X5) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X8,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_273]) ).

fof(c_0_678,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X8,X5),X5) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X8,X5),X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_274]) ).

fof(c_0_679,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X8,X5),X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X8,X5),X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_275]) ).

fof(c_0_680,plain,
    ! [X10,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X10,X5),X10,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_276]) ).

fof(c_0_681,plain,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X8,X5),X8,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_277]) ).

fof(c_0_682,plain,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Oplus__class_Oplus(X8,c_HOL_Ouminus__class_Ouminus(X8,X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_278]) ).

fof(c_0_683,plain,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X8,X5),X8,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_279]) ).

fof(c_0_684,plain,
    ! [X3,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Int_Onumber__ring(X5)
      | c_HOL_Oinverse__class_Oinverse(X3,X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X5),X3,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_280]) ).

fof(c_0_685,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Oinverse(X8,X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X5),X8,X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_281]) ).

fof(c_0_686,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(fof_simplification,[status(thm)],[c_0_282]) ).

fof(c_0_687,plain,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X5),X8,X5) = c_HOL_Ouminus__class_Ouminus(X8,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_283]) ).

fof(c_0_688,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Oinverse(X8,X5) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X5),X8,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_284]) ).

fof(c_0_689,plain,
    ! [X10,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Odivide(X10,c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_285]) ).

fof(c_0_690,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Odivide(X8,c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_286]) ).

fof(c_0_691,plain,
    ! [X10,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Ozero__class_Ozero(X5) = c_HOL_Oinverse__class_Odivide(X10,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_287]) ).

fof(c_0_692,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Odivide(X8,X8,X5) = c_HOL_Oone__class_Oone(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_288]) ).

fof(c_0_693,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(fof_simplification,[status(thm)],[c_0_289]) ).

fof(c_0_694,plain,
    ! [X3,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | ~ class_Int_Onumber__ring(X5)
      | X3 = c_HOL_Oplus__class_Oplus(X3,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_290]) ).

fof(c_0_695,plain,
    ! [X3,X5] :
      ( ~ class_Ring__and__Field_Oidom(X5)
      | ~ class_Int_Onumber__ring(X5)
      | c_HOL_Ominus__class_Ominus(X3,X3,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_291]) ).

fof(c_0_696,plain,
    ! [X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(X8,c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_292]) ).

fof(c_0_697,plain,
    ! [X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X5),X8,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_293]) ).

fof(c_0_698,plain,
    ! [X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X5),X8,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_294]) ).

fof(c_0_699,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X5),X8,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_295]) ).

fof(c_0_700,plain,
    ! [X2,X5] :
      ( ~ class_RealVector_Oreal__normed__field(X5)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X5),X2,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_296]) ).

fof(c_0_701,plain,
    ! [X4,X5] :
      ( ~ class_OrderedGroup_Omonoid__mult(X5)
      | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X5),X4,X5) = c_HOL_Oone__class_Oone(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_297]) ).

fof(c_0_702,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X8,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_298]) ).

fof(c_0_703,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(X8,c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_299]) ).

fof(c_0_704,plain,
    ! [X2,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X2,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_300]) ).

fof(c_0_705,plain,
    ! [X10,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X10,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_301]) ).

fof(c_0_706,plain,
    ! [X8,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(X8,c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_302]) ).

fof(c_0_707,plain,
    ! [X3,X5] :
      ( ~ class_RealVector_Oreal__normed__algebra(X5)
      | c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_303]) ).

fof(c_0_708,plain,
    ! [X3,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X3,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_304]) ).

fof(c_0_709,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Omult__zero(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X8,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_305]) ).

fof(c_0_710,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Omult__zero(X5)
      | c_HOL_Otimes__class_Otimes(X8,c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_306]) ).

fof(c_0_711,plain,
    ! [X10,X5] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),X10,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_307]) ).

fof(c_0_712,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X5)
      | c_HOL_Otimes__class_Otimes(X8,c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_308]) ).

fof(c_0_713,plain,
    ! [X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(X8,c_HOL_Oone__class_Oone(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_309]) ).

fof(c_0_714,plain,
    ! [X3,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | X3 = c_HOL_Ozero__class_Ozero(X5)
      | c_HOL_Oinverse__class_Odivide(X3,X3,X5) = c_HOL_Oone__class_Oone(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_310]) ).

fof(c_0_715,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Odivide(X8,X8,X5) = c_HOL_Oone__class_Oone(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_311]) ).

fof(c_0_716,plain,
    ! [X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(X8,X8,X5) = c_HOL_Oone__class_Oone(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_312]) ).

fof(c_0_717,plain,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ominus__class_Ominus(X8,c_HOL_Ozero__class_Ozero(X5),X5) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_313]) ).

fof(c_0_718,plain,
    ! [X7,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Polynomial_Osmult(c_HOL_Oone__class_Oone(X5),X7,X5) = X7 ),
    inference(fof_simplification,[status(thm)],[c_0_314]) ).

fof(c_0_719,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | c_HOL_Oinverse__class_Odivide(X8,c_HOL_Oone__class_Oone(X5),X5) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_315]) ).

fof(c_0_720,plain,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Omonoid__mult(X5)
      | c_HOL_Otimes__class_Otimes(X8,c_HOL_Oone__class_Oone(X5),X5) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_316]) ).

fof(c_0_721,plain,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Omonoid__mult(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X5),X8,X5) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_317]) ).

fof(c_0_722,plain,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X5),X8,X5) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_318]) ).

fof(c_0_723,plain,
    ! [X3,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X5),X3,X5) = X3 ),
    inference(fof_simplification,[status(thm)],[c_0_319]) ).

fof(c_0_724,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(X8,c_HOL_Oone__class_Oone(X5),X5) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_320]) ).

fof(c_0_725,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X5),X8,X5) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_321]) ).

fof(c_0_726,plain,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Omonoid__add(X5)
      | c_HOL_Oplus__class_Oplus(X8,c_HOL_Ozero__class_Ozero(X5),X5) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_322]) ).

fof(c_0_727,plain,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Omonoid__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X5),X8,X5) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_323]) ).

fof(c_0_728,plain,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X5)
      | c_HOL_Oplus__class_Oplus(X8,c_HOL_Ozero__class_Ozero(X5),X5) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_324]) ).

fof(c_0_729,plain,
    ! [X3,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X5),X3,X5) = X3 ),
    inference(fof_simplification,[status(thm)],[c_0_325]) ).

fof(c_0_730,plain,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X5),X8,X5) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_326]) ).

fof(c_0_731,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(X8,c_HOL_Ozero__class_Ozero(X5),X5) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_327]) ).

fof(c_0_732,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X5),X8,X5) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_328]) ).

fof(c_0_733,plain,
    ! [X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Odiv(X8,c_HOL_Oone__class_Oone(X5),X5) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_329]) ).

fof(c_0_734,plain,
    ! [X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(X8,c_HOL_Ozero__class_Ozero(X5),X5) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_330]) ).

fof(c_0_735,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X8,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_331]) ).

fof(c_0_736,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X5),X8,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_332]) ).

fof(c_0_737,plain,
    ! [X3,X5] :
      ( ~ class_OrderedGroup_Oab__group__add(X5)
      | c_HOL_Ominus__class_Ominus(X3,X3,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_333]) ).

fof(c_0_738,plain,
    ! [X3,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ominus__class_Ominus(X3,X3,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_334]) ).

fof(c_0_739,plain,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ominus__class_Ominus(X8,X8,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_335]) ).

fof(c_0_740,plain,
    ! [X8,X5] :
      ( ~ class_Divides_Osemiring__div(X5)
      | c_Divides_Odiv__class_Omod(X8,X8,X5) = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_336]) ).

fof(c_0_741,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Oinverse__class_Oinverse(X8,X5) != c_HOL_Oinverse__class_Oinverse(X10,X5)
      | X8 = X10
      | X10 = c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_337]) ).

fof(c_0_742,plain,
    ! [X3,X5] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X5)
      | c_HOL_Otimes__class_Otimes(X3,X3,X5) = X3 ),
    inference(fof_simplification,[status(thm)],[c_0_338]) ).

fof(c_0_743,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X5)
      | c_Ring__and__Field_Odvd__class_Odvd(X8,X8,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_339]) ).

fof(c_0_744,plain,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X8,X5),X5) = c_HOL_Oabs__class_Oabs(X8,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_340]) ).

fof(c_0_745,plain,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X8,X5),X5) = c_HOL_Oabs__class_Oabs(X8,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_341]) ).

fof(c_0_746,plain,
    ! [X10,X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Oinverse(X8,X5) != c_HOL_Oinverse__class_Oinverse(X10,X5)
      | X8 = X10 ),
    inference(fof_simplification,[status(thm)],[c_0_342]) ).

fof(c_0_747,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X8,X5),X5) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_343]) ).

fof(c_0_748,plain,
    ! [X10,X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ouminus__class_Ouminus(X8,X5) != c_HOL_Ouminus__class_Ouminus(X10,X5)
      | X8 = X10 ),
    inference(fof_simplification,[status(thm)],[c_0_344]) ).

fof(c_0_749,plain,
    ! [X2,X3,X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_HOL_Ouminus__class_Ouminus(X3,X5) != c_HOL_Ouminus__class_Ouminus(X2,X5)
      | X3 = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_345]) ).

fof(c_0_750,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X8,X5),X5) = X8
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_346]) ).

fof(c_0_751,plain,
    ! [X3,X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Oinverse(X3,X5) != c_HOL_Oone__class_Oone(X5)
      | X3 = c_HOL_Oone__class_Oone(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_347]) ).

fof(c_0_752,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | ~ class_Ring__and__Field_Odivision__by__zero(X5)
      | c_HOL_Oinverse__class_Oinverse(X8,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_348]) ).

fof(c_0_753,plain,
    ! [X10,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X10,X5),X5) = X10 ),
    inference(fof_simplification,[status(thm)],[c_0_349]) ).

fof(c_0_754,plain,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | X8 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X8,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_350]) ).

fof(c_0_755,plain,
    ! [X10,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | X10 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X10,X5),X5) ),
    inference(fof_simplification,[status(thm)],[c_0_351]) ).

fof(c_0_756,plain,
    ! [X3,X5] :
      ( ~ class_Lattices_Oboolean__algebra(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X3,X5),X5) = X3 ),
    inference(fof_simplification,[status(thm)],[c_0_352]) ).

fof(c_0_757,plain,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X8,X5),X5) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_353]) ).

fof(c_0_758,plain,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ouminus__class_Ouminus(X8,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_354]) ).

fof(c_0_759,plain,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Ogroup__add(X5)
      | c_HOL_Ozero__class_Ozero(X5) != c_HOL_Ouminus__class_Ouminus(X8,X5)
      | c_HOL_Ozero__class_Ozero(X5) = X8 ),
    inference(fof_simplification,[status(thm)],[c_0_355]) ).

fof(c_0_760,plain,
    ! [X8,X5] :
      ( ~ class_Ring__and__Field_Odivision__ring(X5)
      | c_HOL_Oinverse__class_Oinverse(X8,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_356]) ).

fof(c_0_761,plain,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
      | c_HOL_Oabs__class_Oabs(X8,X5) != c_HOL_Ozero__class_Ozero(X5)
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_357]) ).

fof(c_0_762,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(fof_simplification,[status(thm)],[c_0_358]) ).

fof(c_0_763,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(fof_simplification,[status(thm)],[c_0_359]) ).

fof(c_0_764,plain,
    ! [X8,X5] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X5)
      | c_HOL_Ouminus__class_Ouminus(X8,X5) != X8
      | X8 = c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_360]) ).

fof(c_0_765,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(fof_simplification,[status(thm)],[c_0_361]) ).

fof(c_0_766,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(fof_simplification,[status(thm)],[c_0_362]) ).

fof(c_0_767,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(fof_simplification,[status(thm)],[c_0_363]) ).

fof(c_0_768,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(fof_simplification,[status(thm)],[c_0_364]) ).

fof(c_0_769,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(fof_simplification,[status(thm)],[c_0_365]) ).

fof(c_0_770,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(fof_simplification,[status(thm)],[c_0_366]) ).

fof(c_0_771,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(fof_simplification,[status(thm)],[c_0_367]) ).

fof(c_0_772,plain,
    ! [X5] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X5)
      | c_HOL_Oone__class_Oone(X5) != c_HOL_Ozero__class_Ozero(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_368]) ).

fof(c_0_773,plain,
    ! [X5] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X5)
      | c_HOL_Ozero__class_Ozero(X5) != c_HOL_Oone__class_Oone(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_369]) ).

fof(c_0_774,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_370]) ).

fof(c_0_775,plain,
    ! [X1] :
      ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_371]) ).

fof(c_0_776,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_372]) ).

fof(c_0_777,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_373]) ).

fof(c_0_778,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_374]) ).

fof(c_0_779,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_375]) ).

fof(c_0_780,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_376]) ).

fof(c_0_781,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_377]) ).

fof(c_0_782,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_378]) ).

fof(c_0_783,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_379]) ).

fof(c_0_784,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_380]) ).

fof(c_0_785,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_381]) ).

fof(c_0_786,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_382]) ).

fof(c_0_787,plain,
    ! [X1] :
      ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X1))
      | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_383]) ).

fof(c_0_788,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_384]) ).

fof(c_0_789,plain,
    ! [X1] :
      ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X1))
      | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_385]) ).

fof(c_0_790,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_386]) ).

fof(c_0_791,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_387]) ).

fof(c_0_792,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_388]) ).

fof(c_0_793,plain,
    ! [X1] :
      ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X1))
      | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_389]) ).

fof(c_0_794,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_390]) ).

fof(c_0_795,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_391]) ).

fof(c_0_796,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_392]) ).

fof(c_0_797,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_393]) ).

fof(c_0_798,plain,
    ! [X1] :
      ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X1))
      | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_394]) ).

fof(c_0_799,plain,
    ! [X1] :
      ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X1))
      | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_395]) ).

fof(c_0_800,plain,
    ! [X1] :
      ( class_Ring__and__Field_Oring__1(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_396]) ).

fof(c_0_801,plain,
    ! [X1] :
      ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_397]) ).

fof(c_0_802,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_398]) ).

fof(c_0_803,plain,
    ! [X1] :
      ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_399]) ).

fof(c_0_804,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_400]) ).

fof(c_0_805,plain,
    ! [X1] :
      ( class_Divides_Oring__div(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_401]) ).

fof(c_0_806,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_402]) ).

fof(c_0_807,plain,
    ! [X1] :
      ( class_Power_Opower(tc_Polynomial_Opoly(X1))
      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_403]) ).

fof(c_0_808,plain,
    ! [X11,X12,X13,X14,X15] :
      ( ~ class_RealVector_Oreal__normed__algebra(X15)
      | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X12,X11,X15),c_HOL_Otimes__class_Otimes(X14,X13,X15),X15) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X12,X14,X15),c_HOL_Ominus__class_Ominus(X11,X13,X15),X15),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X12,X14,X15),X13,X15),X15),c_HOL_Otimes__class_Otimes(X14,c_HOL_Ominus__class_Ominus(X11,X13,X15),X15),X15) ),
    inference(variable_rename,[status(thm)],[c_0_404]) ).

fof(c_0_809,plain,
    ! [X21,X22,X23,X24,X25,X26] :
      ( ~ class_RealVector_Oreal__field(X26)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X25,X24,X26),c_HOL_Otimes__class_Otimes(X23,X22,X26),X26),X21,X26) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X25,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X24,X22,X26),X21,X26),X26),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X25,X23,X26),X21,X26),X22,X26),X26) ),
    inference(variable_rename,[status(thm)],[c_0_405]) ).

fof(c_0_810,plain,
    ! [X21,X22,X23,X24] :
      ( ~ class_RealVector_Oreal__normed__field(X24)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X23,X24),c_HOL_Oinverse__class_Oinverse(X22,X24),X24),X21,X24) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X23,X24),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X23,X22,X24),X21,X24),X24),c_HOL_Oinverse__class_Oinverse(X22,X24),X24),X24)
      | X22 = c_HOL_Ozero__class_Ozero(X24)
      | X23 = c_HOL_Ozero__class_Ozero(X24) ),
    inference(variable_rename,[status(thm)],[c_0_406]) ).

fof(c_0_811,plain,
    ! [X32,X33,X34,X35,X36,X37] :
      ( ~ class_Ring__and__Field_Odvd(X37)
      | ~ class_Ring__and__Field_Ocomm__ring(X37)
      | c_Ring__and__Field_Odvd__class_Odvd(X35,c_HOL_Oplus__class_Oplus(X32,X33,X37),X37)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X35,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X32,c_HOL_Otimes__class_Otimes(X34,X36,X37),X37),X33,X37),X37)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X35,X36,X37) ),
    inference(variable_rename,[status(thm)],[c_0_407]) ).

fof(c_0_812,plain,
    ! [X32,X33,X34,X35,X36,X37] :
      ( ~ class_Ring__and__Field_Odvd(X37)
      | ~ class_Ring__and__Field_Ocomm__ring(X37)
      | c_Ring__and__Field_Odvd__class_Odvd(X35,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X32,c_HOL_Otimes__class_Otimes(X34,X36,X37),X37),X33,X37),X37)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X35,c_HOL_Oplus__class_Oplus(X32,X33,X37),X37)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X35,X36,X37) ),
    inference(variable_rename,[status(thm)],[c_0_408]) ).

fof(c_0_813,plain,
    ! [X20,X21,X22,X23,X24] :
      ( ~ class_Ring__and__Field_Oring(X24)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X23,X20,X24),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X22,X23,X24),X20,X24),X21,X24),X24) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X22,X20,X24),X21,X24) ),
    inference(variable_rename,[status(thm)],[c_0_409]) ).

fof(c_0_814,plain,
    ! [X20,X21,X22,X23,X24] :
      ( ~ class_Ring__and__Field_Oring(X24)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X23,X20,X24),X21,X24) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X22,X20,X24),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X23,X22,X24),X20,X24),X21,X24),X24) ),
    inference(variable_rename,[status(thm)],[c_0_410]) ).

fof(c_0_815,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Osemiring__div(X17)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X16,X15,X17),X15,X17),c_Divides_Odiv__class_Omod(X16,X15,X17),X17),X14,X17) = c_HOL_Oplus__class_Oplus(X16,X14,X17) ),
    inference(variable_rename,[status(thm)],[c_0_411]) ).

fof(c_0_816,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Osemiring__div(X17)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X15,c_Divides_Odiv__class_Odiv(X16,X15,X17),X17),c_Divides_Odiv__class_Omod(X16,X15,X17),X17),X14,X17) = c_HOL_Oplus__class_Oplus(X16,X14,X17) ),
    inference(variable_rename,[status(thm)],[c_0_412]) ).

fof(c_0_817,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Odivision__ring(X13)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X12,X13),c_HOL_Oinverse__class_Oinverse(X11,X13),X13) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X12,X13),c_HOL_Ominus__class_Ominus(X12,X11,X13),X13),c_HOL_Oinverse__class_Oinverse(X11,X13),X13),X13)
      | X11 = c_HOL_Ozero__class_Ozero(X13)
      | X12 = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_413]) ).

fof(c_0_818,plain,
    ! [X17,X18,X19,X20,X21] :
      ( ~ class_Ring__and__Field_Ofield(X21)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X19,X18,X21),c_HOL_Oinverse__class_Odivide(X20,X17,X21),X21) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X19,X17,X21),c_HOL_Otimes__class_Otimes(X20,X18,X21),X21),c_HOL_Otimes__class_Otimes(X18,X17,X21),X21)
      | X17 = c_HOL_Ozero__class_Ozero(X21)
      | X18 = c_HOL_Ozero__class_Ozero(X21) ),
    inference(variable_rename,[status(thm)],[c_0_414]) ).

fof(c_0_819,plain,
    ! [X17,X18,X19,X20,X21] :
      ( ~ class_Ring__and__Field_Ofield(X21)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X19,X18,X21),c_HOL_Oinverse__class_Odivide(X20,X17,X21),X21) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X19,X17,X21),c_HOL_Otimes__class_Otimes(X20,X18,X21),X21),c_HOL_Otimes__class_Otimes(X18,X17,X21),X21)
      | X17 = c_HOL_Ozero__class_Ozero(X21)
      | X18 = c_HOL_Ozero__class_Ozero(X21) ),
    inference(variable_rename,[status(thm)],[c_0_415]) ).

fof(c_0_820,plain,
    ! [X20,X21,X22,X23,X24,X25] :
      ( ~ class_Ring__and__Field_Oring(X25)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X24,X20,X25),X22,X25) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X23,X20,X25),X21,X25)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X24,X23,X25),X20,X25),X22,X25) = X21 ),
    inference(variable_rename,[status(thm)],[c_0_416]) ).

fof(c_0_821,plain,
    ! [X20,X21,X22,X23,X24,X25] :
      ( ~ class_Ring__and__Field_Oring(X25)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X24,X20,X25),X22,X25) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X23,X20,X25),X21,X25)
      | X22 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X23,X24,X25),X20,X25),X21,X25) ),
    inference(variable_rename,[status(thm)],[c_0_417]) ).

fof(c_0_822,plain,
    ! [X20,X21,X22,X23,X24] :
      ( ~ class_Ring__and__Field_Osemiring(X24)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X23,X20,X24),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X22,X20,X24),X21,X24),X24) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X23,X22,X24),X20,X24),X21,X24) ),
    inference(variable_rename,[status(thm)],[c_0_418]) ).

fof(c_0_823,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ class_Ring__and__Field_Oidom(X19)
      | ~ class_Int_Onumber__ring(X19)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X18,X16,X19),c_HOL_Otimes__class_Otimes(X17,X15,X19),X19) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X18,X15,X19),c_HOL_Otimes__class_Otimes(X17,X16,X19),X19)
      | X16 = X15
      | X18 = X17 ),
    inference(variable_rename,[status(thm)],[c_0_419]) ).

fof(c_0_824,plain,
    ! [X17,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(X20,X18,X21),c_HOL_Otimes__class_Otimes(X19,X17,X21),X21) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X20,X17,X21),c_HOL_Otimes__class_Otimes(X19,X18,X21),X21)
      | X18 = X17
      | X20 = X19 ),
    inference(variable_rename,[status(thm)],[c_0_420]) ).

fof(c_0_825,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Oring__div(X17)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X16,X15,X17),X14,X17) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X16,X14,X17),c_Divides_Odiv__class_Omod(X15,X14,X17),X17),X14,X17) ),
    inference(variable_rename,[status(thm)],[c_0_421]) ).

fof(c_0_826,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Osemiring__div(X17)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X16,X15,X17),X14,X17) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X16,X14,X17),c_Divides_Odiv__class_Omod(X15,X14,X17),X17),X14,X17) ),
    inference(variable_rename,[status(thm)],[c_0_422]) ).

fof(c_0_827,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Osemiring__div(X17)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X16,X15,X17),X14,X17) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X16,X14,X17),c_Divides_Odiv__class_Omod(X15,X14,X17),X17),X14,X17) ),
    inference(variable_rename,[status(thm)],[c_0_423]) ).

fof(c_0_828,plain,
    ! [X17,X18,X19,X20,X21] :
      ( ~ class_Divides_Osemiring__div(X21)
      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X19,X18,X21),c_Divides_Odiv__class_Odiv(X20,X17,X21),X21) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X19,X20,X21),c_HOL_Otimes__class_Otimes(X18,X17,X21),X21)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X17,X20,X21)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X18,X19,X21) ),
    inference(variable_rename,[status(thm)],[c_0_424]) ).

fof(c_0_829,plain,
    ! [X19,X20,X21,X22,X23,X24] :
      ( ~ class_Divides_Osemiring__div(X24)
      | c_Divides_Odiv__class_Omod(X21,X19,X24) != c_Divides_Odiv__class_Omod(X20,X19,X24)
      | c_Divides_Odiv__class_Omod(X23,X19,X24) != c_Divides_Odiv__class_Omod(X22,X19,X24)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X23,X21,X24),X19,X24) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X22,X20,X24),X19,X24) ),
    inference(variable_rename,[status(thm)],[c_0_425]) ).

fof(c_0_830,plain,
    ! [X19,X20,X21,X22,X23,X24] :
      ( ~ class_Divides_Osemiring__div(X24)
      | c_Divides_Odiv__class_Omod(X21,X19,X24) != c_Divides_Odiv__class_Omod(X20,X19,X24)
      | c_Divides_Odiv__class_Omod(X23,X19,X24) != c_Divides_Odiv__class_Omod(X22,X19,X24)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X23,X21,X24),X19,X24) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X22,X20,X24),X19,X24) ),
    inference(variable_rename,[status(thm)],[c_0_426]) ).

fof(c_0_831,plain,
    ! [X19,X20,X21,X22,X23,X24] :
      ( ~ class_Divides_Oring__div(X24)
      | c_Divides_Odiv__class_Omod(X21,X19,X24) != c_Divides_Odiv__class_Omod(X20,X19,X24)
      | c_Divides_Odiv__class_Omod(X23,X19,X24) != c_Divides_Odiv__class_Omod(X22,X19,X24)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X23,X21,X24),X19,X24) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X22,X20,X24),X19,X24) ),
    inference(variable_rename,[status(thm)],[c_0_427]) ).

fof(c_0_832,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Osemiring__div(X17)
      | c_Ring__and__Field_Odvd__class_Odvd(X15,X14,X17)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X15,X16,X17),c_Divides_Odiv__class_Odiv(X14,X16,X17),X17)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X16,X14,X17)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X16,X15,X17) ),
    inference(variable_rename,[status(thm)],[c_0_428]) ).

fof(c_0_833,plain,
    ! [X30,X31,X32,X33,X34] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X34)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X33,X32,X34),c_HOL_Otimes__class_Otimes(X31,X30,X34),X34) = c_HOL_Otimes__class_Otimes(X31,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X33,X32,X34),X30,X34),X34) ),
    inference(variable_rename,[status(thm)],[c_0_429]) ).

fof(c_0_834,plain,
    ! [X30,X31,X32,X33,X34] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X34)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X33,X32,X34),c_HOL_Otimes__class_Otimes(X31,X30,X34),X34) = c_HOL_Otimes__class_Otimes(X33,c_HOL_Otimes__class_Otimes(X32,c_HOL_Otimes__class_Otimes(X31,X30,X34),X34),X34) ),
    inference(variable_rename,[status(thm)],[c_0_430]) ).

fof(c_0_835,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_Divides_Osemiring__div(X16)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X15,X14,X16),X13,X16) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X15,X13,X16),c_Divides_Odiv__class_Odiv(X14,X13,X16),X16)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X13,X14,X16)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X13,X15,X16) ),
    inference(variable_rename,[status(thm)],[c_0_431]) ).

fof(c_0_836,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Ofield(X13)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X12,X13),c_HOL_Oinverse__class_Oinverse(X11,X13),X13) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X12,X11,X13),c_HOL_Oinverse__class_Oinverse(X12,X13),X13),c_HOL_Oinverse__class_Oinverse(X11,X13),X13)
      | X11 = c_HOL_Ozero__class_Ozero(X13)
      | X12 = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_432]) ).

fof(c_0_837,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Odivision__ring(X13)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(X12,X13),c_HOL_Oinverse__class_Oinverse(X11,X13),X13) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X12,X13),c_HOL_Oplus__class_Oplus(X12,X11,X13),X13),c_HOL_Oinverse__class_Oinverse(X11,X13),X13)
      | X11 = c_HOL_Ozero__class_Ozero(X13)
      | X12 = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_433]) ).

fof(c_0_838,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Odivision__ring(X13)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(X12,X13),c_HOL_Oinverse__class_Oinverse(X11,X13),X13) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X12,X13),c_HOL_Ominus__class_Ominus(X11,X12,X13),X13),c_HOL_Oinverse__class_Oinverse(X11,X13),X13)
      | X11 = c_HOL_Ozero__class_Ozero(X13)
      | X12 = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_434]) ).

fof(c_0_839,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_Ring__and__Field_Ofield(X16)
      | ~ class_Ring__and__Field_Odivision__by__zero(X16)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X15,X14,X16),X13,X16) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X15,c_HOL_Otimes__class_Otimes(X13,X14,X16),X16),X14,X16)
      | X14 = c_HOL_Ozero__class_Ozero(X16) ),
    inference(variable_rename,[status(thm)],[c_0_435]) ).

fof(c_0_840,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_Ring__and__Field_Ofield(X16)
      | ~ class_Ring__and__Field_Odivision__by__zero(X16)
      | c_HOL_Oplus__class_Oplus(X13,c_HOL_Oinverse__class_Odivide(X15,X14,X16),X16) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X15,c_HOL_Otimes__class_Otimes(X13,X14,X16),X16),X14,X16)
      | X14 = c_HOL_Ozero__class_Ozero(X16) ),
    inference(variable_rename,[status(thm)],[c_0_436]) ).

fof(c_0_841,plain,
    ! [X17,X18,X19,X20,X21] :
      ( ~ class_Ring__and__Field_Ofield(X21)
      | ~ class_Ring__and__Field_Odivision__by__zero(X21)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X19,X18,X21),c_HOL_Oinverse__class_Odivide(X17,X20,X21),X21) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X19,X17,X21),c_HOL_Otimes__class_Otimes(X18,X20,X21),X21) ),
    inference(variable_rename,[status(thm)],[c_0_437]) ).

fof(c_0_842,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_Ring__and__Field_Oidom(X16)
      | ~ class_Int_Onumber__ring(X16)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X15,X14,X16),c_HOL_Otimes__class_Otimes(X15,X13,X16),X16) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X15,X13,X16),c_HOL_Otimes__class_Otimes(X15,X14,X16),X16) ),
    inference(variable_rename,[status(thm)],[c_0_438]) ).

fof(c_0_843,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_Ring__and__Field_Oidom(X18)
      | ~ class_Int_Onumber__ring(X18)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X15,X17,X18),c_HOL_Otimes__class_Otimes(X15,X16,X18),X18) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X15,X16,X18),c_HOL_Otimes__class_Otimes(X15,X17,X18),X18) ),
    inference(variable_rename,[status(thm)],[c_0_439]) ).

fof(c_0_844,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Osemiring__div(X17)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X16,c_HOL_Otimes__class_Otimes(X14,X15,X17),X17),X15,X17) = c_HOL_Oplus__class_Oplus(X14,c_Divides_Odiv__class_Odiv(X16,X15,X17),X17)
      | X15 = c_HOL_Ozero__class_Ozero(X17) ),
    inference(variable_rename,[status(thm)],[c_0_440]) ).

fof(c_0_845,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Osemiring__div(X17)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X16,c_HOL_Otimes__class_Otimes(X15,X14,X17),X17),X15,X17) = c_HOL_Oplus__class_Oplus(X14,c_Divides_Odiv__class_Odiv(X16,X15,X17),X17)
      | X15 = c_HOL_Ozero__class_Ozero(X17) ),
    inference(variable_rename,[status(thm)],[c_0_441]) ).

fof(c_0_846,plain,
    ! [X30,X31,X32,X33,X34] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X34)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X33,X32,X34),c_HOL_Otimes__class_Otimes(X31,X30,X34),X34) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X33,X31,X34),c_HOL_Otimes__class_Otimes(X32,X30,X34),X34) ),
    inference(variable_rename,[status(thm)],[c_0_442]) ).

fof(c_0_847,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Osemiring__div(X17)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X16,c_Divides_Odiv__class_Omod(X15,X14,X17),X17),X14,X17) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X16,X15,X17),X14,X17) ),
    inference(variable_rename,[status(thm)],[c_0_443]) ).

fof(c_0_848,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Osemiring__div(X17)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X16,X14,X17),X15,X17),X14,X17) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X16,X15,X17),X14,X17) ),
    inference(variable_rename,[status(thm)],[c_0_444]) ).

fof(c_0_849,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X19)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X18,X17,X19),c_HOL_Oplus__class_Oplus(X16,X15,X19),X19) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X18,X16,X19),c_HOL_Oplus__class_Oplus(X17,X15,X19),X19) ),
    inference(variable_rename,[status(thm)],[c_0_445]) ).

fof(c_0_850,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Osemiring__div(X17)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X16,X14,X17),X15,X17),X14,X17) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X16,X15,X17),X14,X17) ),
    inference(variable_rename,[status(thm)],[c_0_446]) ).

fof(c_0_851,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Osemiring__div(X17)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X16,X15,X17),X14,X17) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X16,c_Divides_Odiv__class_Omod(X15,X14,X17),X17),X14,X17) ),
    inference(variable_rename,[status(thm)],[c_0_447]) ).

fof(c_0_852,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Osemiring__div(X17)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X16,X15,X17),X14,X17) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X16,X14,X17),X15,X17),X14,X17) ),
    inference(variable_rename,[status(thm)],[c_0_448]) ).

fof(c_0_853,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ class_OrderedGroup_Oab__group__add(X19)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X18,X16,X19),c_HOL_Oplus__class_Oplus(X17,X15,X19),X19) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X18,X17,X19),c_HOL_Ominus__class_Ominus(X16,X15,X19),X19) ),
    inference(variable_rename,[status(thm)],[c_0_449]) ).

fof(c_0_854,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Osemiring__div(X17)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X16,X15,X17),X14,X17) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X16,c_Divides_Odiv__class_Omod(X15,X14,X17),X17),X14,X17) ),
    inference(variable_rename,[status(thm)],[c_0_450]) ).

fof(c_0_855,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Osemiring__div(X17)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X16,X15,X17),X14,X17) = c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X16,X14,X17),X15,X17),X14,X17) ),
    inference(variable_rename,[status(thm)],[c_0_451]) ).

fof(c_0_856,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Oring__div(X17)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X16,X15,X17),X14,X17) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X16,X14,X17),X15,X17),X14,X17) ),
    inference(variable_rename,[status(thm)],[c_0_452]) ).

fof(c_0_857,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Oring__div(X17)
      | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X16,X15,X17),X14,X17) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X16,c_Divides_Odiv__class_Omod(X15,X14,X17),X17),X14,X17) ),
    inference(variable_rename,[status(thm)],[c_0_453]) ).

fof(c_0_858,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Osemiring__div(X17)
      | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X15,X16,X17),c_Divides_Odiv__class_Odiv(X14,X16,X17),X17)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X15,X14,X17)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X16,X14,X17)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X16,X15,X17) ),
    inference(variable_rename,[status(thm)],[c_0_454]) ).

fof(c_0_859,plain,
    ! [X33,X34,X35,X36,X37] :
      ( ~ class_Ring__and__Field_Oidom(X37)
      | ~ class_Int_Onumber__ring(X37)
      | c_HOL_Oplus__class_Oplus(X33,c_HOL_Otimes__class_Otimes(X34,X36,X37),X37) != c_HOL_Oplus__class_Oplus(X33,c_HOL_Otimes__class_Otimes(X34,X35,X37),X37)
      | X36 = X35
      | X34 = c_HOL_Ozero__class_Ozero(X37) ),
    inference(variable_rename,[status(thm)],[c_0_455]) ).

fof(c_0_860,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Divides_Osemiring__div(X9)
      | c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X7,X6,X9),X8,X9) = c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X7,X8,X9),c_Power_Opower__class_Opower(X6,X8,X9),X9)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X6,X7,X9) ),
    inference(variable_rename,[status(thm)],[c_0_456]) ).

fof(c_0_861,plain,
    ! [X11,X12,X13] :
      ( ~ class_Divides_Osemiring__div(X13)
      | X12 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X12,X11,X13),X11,X13),c_Divides_Odiv__class_Omod(X12,X11,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_457]) ).

fof(c_0_862,plain,
    ! [X11,X12,X13] :
      ( ~ class_Divides_Osemiring__div(X13)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X12,X11,X13),X11,X13),c_Divides_Odiv__class_Omod(X12,X11,X13),X13) = X12 ),
    inference(variable_rename,[status(thm)],[c_0_458]) ).

fof(c_0_863,plain,
    ! [X11,X12,X13] :
      ( ~ class_Divides_Osemiring__div(X13)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X11,c_Divides_Odiv__class_Odiv(X12,X11,X13),X13),c_Divides_Odiv__class_Omod(X12,X11,X13),X13) = X12 ),
    inference(variable_rename,[status(thm)],[c_0_459]) ).

fof(c_0_864,plain,
    ! [X11,X12,X13] :
      ( ~ class_Divides_Osemiring__div(X13)
      | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X12,X11,X13),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X12,X11,X13),X11,X13),X13) = X12 ),
    inference(variable_rename,[status(thm)],[c_0_460]) ).

fof(c_0_865,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Ring__and__Field_Oidom(X17)
      | c_Ring__and__Field_Odvd__class_Odvd(X16,X15,X17)
      | X14 = c_HOL_Ozero__class_Ozero(X17)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X16,X14,X17),c_HOL_Otimes__class_Otimes(X15,X14,X17),X17) ),
    inference(variable_rename,[status(thm)],[c_0_461]) ).

fof(c_0_866,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Ring__and__Field_Oidom(X17)
      | c_Ring__and__Field_Odvd__class_Odvd(X16,X15,X17)
      | X14 = c_HOL_Ozero__class_Ozero(X17)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X14,X16,X17),c_HOL_Otimes__class_Otimes(X14,X15,X17),X17) ),
    inference(variable_rename,[status(thm)],[c_0_462]) ).

fof(c_0_867,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X19)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X18,X16,X19),c_HOL_Otimes__class_Otimes(X17,X15,X19),X19)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X16,X15,X19)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X18,X17,X19) ),
    inference(variable_rename,[status(thm)],[c_0_463]) ).

fof(c_0_868,plain,
    ! [X11,X12,X13,X14] :
      ( ~ class_Ring__and__Field_Ofield(X14)
      | ~ class_Ring__and__Field_Odivision__by__zero(X14)
      | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X13,X12,X14),X11,X14) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X13,X11,X14),c_Power_Opower__class_Opower(X12,X11,X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_464]) ).

fof(c_0_869,plain,
    ! [X11,X12,X13,X14] :
      ( ~ class_Ring__and__Field_Ofield(X14)
      | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X13,X12,X14),X11,X14) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X13,X11,X14),c_Power_Opower__class_Opower(X12,X11,X14),X14)
      | X12 = c_HOL_Ozero__class_Ozero(X14) ),
    inference(variable_rename,[status(thm)],[c_0_465]) ).

fof(c_0_870,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X8)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X7,X7,X8),c_HOL_Otimes__class_Otimes(X6,X6,X8),X8) != c_HOL_Ozero__class_Ozero(X8)
      | X7 = c_HOL_Ozero__class_Ozero(X8) ),
    inference(variable_rename,[status(thm)],[c_0_466]) ).

fof(c_0_871,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X8)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X7,X7,X8),c_HOL_Otimes__class_Otimes(X6,X6,X8),X8) != c_HOL_Ozero__class_Ozero(X8)
      | X6 = c_HOL_Ozero__class_Ozero(X8) ),
    inference(variable_rename,[status(thm)],[c_0_467]) ).

fof(c_0_872,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Ring__and__Field_Ofield(X17)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X16,X15,X17),X14,X17) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X16,X14,X17),c_HOL_Oinverse__class_Odivide(X15,X14,X17),X17) ),
    inference(variable_rename,[status(thm)],[c_0_468]) ).

fof(c_0_873,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_469]) ).

fof(c_0_874,plain,
    ! [X7,X8,X9,X10] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X10)
      | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X8,X7,X10),X9,X10) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X8,X9,X10),c_Power_Opower__class_Opower(X7,X9,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_470]) ).

fof(c_0_875,plain,
    ! [X11,X12,X13,X14] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X14)
      | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X13,X12,X14),X11,X14) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X13,X11,X14),c_Power_Opower__class_Opower(X12,X11,X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_471]) ).

fof(c_0_876,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(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_472]) ).

fof(c_0_877,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_RealVector_Oreal__normed__algebra(X27)
      | c_HOL_Otimes__class_Otimes(X25,c_HOL_Oplus__class_Oplus(X26,X24,X27),X27) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X25,X26,X27),c_HOL_Otimes__class_Otimes(X25,X24,X27),X27) ),
    inference(variable_rename,[status(thm)],[c_0_473]) ).

fof(c_0_878,plain,
    ! [X18,X19,X20,X21] :
      ( ~ class_RealVector_Oreal__normed__algebra(X21)
      | c_HOL_Otimes__class_Otimes(X20,c_HOL_Oplus__class_Oplus(X19,X18,X21),X21) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X20,X19,X21),c_HOL_Otimes__class_Otimes(X20,X18,X21),X21) ),
    inference(variable_rename,[status(thm)],[c_0_474]) ).

fof(c_0_879,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_475]) ).

fof(c_0_880,plain,
    ! [X19,X20,X21,X22] :
      ( ~ class_RealVector_Oreal__normed__algebra(X22)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X21,X20,X22),X19,X22) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X21,X19,X22),c_HOL_Otimes__class_Otimes(X20,X19,X22),X22) ),
    inference(variable_rename,[status(thm)],[c_0_476]) ).

fof(c_0_881,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X16)
      | c_HOL_Otimes__class_Otimes(X15,c_HOL_Oplus__class_Oplus(X14,X13,X16),X16) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X15,X14,X16),c_HOL_Otimes__class_Otimes(X15,X13,X16),X16) ),
    inference(variable_rename,[status(thm)],[c_0_477]) ).

fof(c_0_882,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Ring__and__Field_Ocomm__semiring(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_478]) ).

fof(c_0_883,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X15)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X14,X12,X15),c_HOL_Otimes__class_Otimes(X13,X12,X15),X15) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X14,X13,X15),X12,X15) ),
    inference(variable_rename,[status(thm)],[c_0_479]) ).

fof(c_0_884,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_RealVector_Oreal__normed__algebra(X27)
      | c_HOL_Otimes__class_Otimes(X25,c_HOL_Ominus__class_Ominus(X26,X24,X27),X27) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X25,X26,X27),c_HOL_Otimes__class_Otimes(X25,X24,X27),X27) ),
    inference(variable_rename,[status(thm)],[c_0_480]) ).

fof(c_0_885,plain,
    ! [X18,X19,X20,X21] :
      ( ~ class_RealVector_Oreal__normed__algebra(X21)
      | c_HOL_Otimes__class_Otimes(X20,c_HOL_Ominus__class_Ominus(X19,X18,X21),X21) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X20,X19,X21),c_HOL_Otimes__class_Otimes(X20,X18,X21),X21) ),
    inference(variable_rename,[status(thm)],[c_0_481]) ).

fof(c_0_886,plain,
    ! [X19,X20,X21,X22] :
      ( ~ class_RealVector_Oreal__normed__algebra(X22)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X21,X20,X22),X19,X22) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X21,X19,X22),c_HOL_Otimes__class_Otimes(X20,X19,X22),X22) ),
    inference(variable_rename,[status(thm)],[c_0_482]) ).

fof(c_0_887,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_483]) ).

fof(c_0_888,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Osemiring__div(X17)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X16,c_HOL_Otimes__class_Otimes(X15,X14,X17),X17),X15,X17) = c_Divides_Odiv__class_Omod(X16,X15,X17) ),
    inference(variable_rename,[status(thm)],[c_0_484]) ).

fof(c_0_889,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Osemiring__div(X17)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X16,c_HOL_Otimes__class_Otimes(X14,X15,X17),X17),X15,X17) = c_Divides_Odiv__class_Omod(X16,X15,X17) ),
    inference(variable_rename,[status(thm)],[c_0_485]) ).

fof(c_0_890,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Ring__and__Field_Ofield(X17)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X16,X15,X17),X14,X17) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X16,X14,X17),c_HOL_Oinverse__class_Odivide(X15,X14,X17),X17) ),
    inference(variable_rename,[status(thm)],[c_0_486]) ).

fof(c_0_891,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_487]) ).

fof(c_0_892,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Osemiring__div(X17)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X14,X16,X17),c_HOL_Otimes__class_Otimes(X14,X15,X17),X17) = c_HOL_Otimes__class_Otimes(X14,c_Divides_Odiv__class_Omod(X16,X15,X17),X17) ),
    inference(variable_rename,[status(thm)],[c_0_488]) ).

fof(c_0_893,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Osemiring__div(X17)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X16,X14,X17),c_HOL_Otimes__class_Otimes(X15,X14,X17),X17) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Omod(X16,X15,X17),X14,X17) ),
    inference(variable_rename,[status(thm)],[c_0_489]) ).

fof(c_0_894,plain,
    ! [X9,X10,X11] :
      ( ~ class_Ring__and__Field_Oring__1(X11)
      | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X10,X11),X9,X11) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X11),X11),X9,X11),c_Power_Opower__class_Opower(X10,X9,X11),X11) ),
    inference(variable_rename,[status(thm)],[c_0_490]) ).

fof(c_0_895,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Osemiring__div(X17)
      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X15,X16,X17),X14,X17) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X15,X14,X17),X16,X17)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X16,X15,X17) ),
    inference(variable_rename,[status(thm)],[c_0_491]) ).

fof(c_0_896,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Divides_Osemiring__div(X15)
      | c_Ring__and__Field_Odvd__class_Odvd(X14,X13,X15)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X14,X12,X15)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X14,c_Divides_Odiv__class_Omod(X13,X12,X15),X15) ),
    inference(variable_rename,[status(thm)],[c_0_492]) ).

fof(c_0_897,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Divides_Osemiring__div(X15)
      | c_Ring__and__Field_Odvd__class_Odvd(X14,X13,X15)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X14,c_Divides_Odiv__class_Omod(X13,X12,X15),X15)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X14,X12,X15) ),
    inference(variable_rename,[status(thm)],[c_0_493]) ).

fof(c_0_898,plain,
    ! [X22,X23,X24,X25,X26] :
      ( ~ class_OrderedGroup_Oab__group__add(X26)
      | c_HOL_Oplus__class_Oplus(X24,c_HOL_Oplus__class_Oplus(X23,X22,X26),X26) != c_HOL_Oplus__class_Oplus(X23,X25,X26)
      | c_HOL_Oplus__class_Oplus(X24,X22,X26) = X25 ),
    inference(variable_rename,[status(thm)],[c_0_494]) ).

fof(c_0_899,plain,
    ! [X11,X12,X13] :
      ( ~ class_Divides_Oring__div(X13)
      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X12,X13),X11,X13) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Omod(X12,X11,X13),X13),X11,X13) ),
    inference(variable_rename,[status(thm)],[c_0_495]) ).

fof(c_0_900,plain,
    ! [X10,X11,X12,X13] :
      ( ~ class_Ring__and__Field_Ofield(X13)
      | c_Ring__and__Field_Odvd__class_Odvd(X12,c_Polynomial_Opoly__gcd(X11,X10,X13),tc_Polynomial_Opoly(X13))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X12,X10,tc_Polynomial_Opoly(X13))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X12,X11,tc_Polynomial_Opoly(X13)) ),
    inference(variable_rename,[status(thm)],[c_0_496]) ).

fof(c_0_901,plain,
    ! [X10,X11,X12,X13] :
      ( ~ class_Ring__and__Field_Ofield(X13)
      | c_Ring__and__Field_Odvd__class_Odvd(X12,c_Polynomial_Opoly__gcd(X11,X10,X13),tc_Polynomial_Opoly(X13))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X12,X10,tc_Polynomial_Opoly(X13))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X12,X11,tc_Polynomial_Opoly(X13)) ),
    inference(variable_rename,[status(thm)],[c_0_497]) ).

fof(c_0_902,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Ring__and__Field_Oidom(X17)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X16,X14,X17),c_HOL_Otimes__class_Otimes(X15,X14,X17),X17)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X16,X15,X17) ),
    inference(variable_rename,[status(thm)],[c_0_498]) ).

fof(c_0_903,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Ring__and__Field_Oidom(X17)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X14,X16,X17),c_HOL_Otimes__class_Otimes(X14,X15,X17),X17)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X16,X15,X17) ),
    inference(variable_rename,[status(thm)],[c_0_499]) ).

fof(c_0_904,plain,
    ! [X6,X7,X8,X9] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X9)
      | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X7,X8,X9),c_Power_Opower__class_Opower(X6,X8,X9),X9)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X7,X6,X9) ),
    inference(variable_rename,[status(thm)],[c_0_500]) ).

fof(c_0_905,plain,
    ! [X9,X10,X11] :
      ( ~ class_Ring__and__Field_Ofield(X11)
      | ~ class_Ring__and__Field_Odivision__by__zero(X11)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X11),c_Power_Opower__class_Opower(X10,X9,X11),X11) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X11),X10,X11),X9,X11) ),
    inference(variable_rename,[status(thm)],[c_0_501]) ).

fof(c_0_906,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Ring__and__Field_Ofield(X17)
      | ~ class_Ring__and__Field_Odivision__by__zero(X17)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X16,X14,X17),c_HOL_Otimes__class_Otimes(X15,X14,X17),X17) = c_HOL_Oinverse__class_Odivide(X16,X15,X17)
      | X14 = c_HOL_Ozero__class_Ozero(X17) ),
    inference(variable_rename,[status(thm)],[c_0_502]) ).

fof(c_0_907,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Ring__and__Field_Ofield(X17)
      | ~ class_Ring__and__Field_Odivision__by__zero(X17)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X14,X16,X17),c_HOL_Otimes__class_Otimes(X14,X15,X17),X17) = c_HOL_Oinverse__class_Odivide(X16,X15,X17)
      | X14 = c_HOL_Ozero__class_Ozero(X17) ),
    inference(variable_rename,[status(thm)],[c_0_503]) ).

fof(c_0_908,plain,
    ! [X12,X13,X14] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X14)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X13,X12,X14),X12,X14) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X13,c_HOL_Oone__class_Oone(X14),X14),X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_504]) ).

fof(c_0_909,plain,
    ! [X12,X13,X14] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X14)
      | c_HOL_Oplus__class_Oplus(X12,c_HOL_Otimes__class_Otimes(X13,X12,X14),X14) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X13,c_HOL_Oone__class_Oone(X14),X14),X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_505]) ).

fof(c_0_910,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X17)
      | c_Ring__and__Field_Odvd__class_Odvd(X16,c_HOL_Oplus__class_Oplus(X15,X14,X17),X17)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X16,X14,X17)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X16,X15,X17) ),
    inference(variable_rename,[status(thm)],[c_0_506]) ).

fof(c_0_911,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X16)
      | c_Ring__and__Field_Odvd__class_Odvd(X15,c_HOL_Ominus__class_Ominus(X14,X13,X16),X16)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X15,X13,X16)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X15,X14,X16) ),
    inference(variable_rename,[status(thm)],[c_0_507]) ).

fof(c_0_912,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Divides_Osemiring__div(X15)
      | c_Ring__and__Field_Odvd__class_Odvd(X14,c_Divides_Odiv__class_Omod(X13,X12,X15),X15)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X14,X13,X15)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X14,X12,X15) ),
    inference(variable_rename,[status(thm)],[c_0_508]) ).

fof(c_0_913,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_Divides_Osemiring__div(X15)
      | c_Ring__and__Field_Odvd__class_Odvd(X14,c_Divides_Odiv__class_Omod(X13,X12,X15),X15)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X14,X12,X15)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X14,X13,X15) ),
    inference(variable_rename,[status(thm)],[c_0_509]) ).

fof(c_0_914,plain,
    ! [X11,X12,X13] :
      ( ~ class_Divides_Osemiring__div(X13)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X11,X12,X13),X11,X13) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X12,X11,X13),c_HOL_Oone__class_Oone(X13),X13)
      | X11 = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_510]) ).

fof(c_0_915,plain,
    ! [X11,X12,X13] :
      ( ~ class_Divides_Osemiring__div(X13)
      | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X12,X11,X13),X11,X13) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X12,X11,X13),c_HOL_Oone__class_Oone(X13),X13)
      | X11 = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_511]) ).

fof(c_0_916,plain,
    ! [X19,X20,X21,X22] :
      ( ~ class_Divides_Oring__div(X22)
      | c_Divides_Odiv__class_Omod(X21,X19,X22) != c_Divides_Odiv__class_Omod(X20,X19,X22)
      | c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X21,X22),X19,X22) = c_Divides_Odiv__class_Omod(c_HOL_Ouminus__class_Ouminus(X20,X22),X19,X22) ),
    inference(variable_rename,[status(thm)],[c_0_512]) ).

fof(c_0_917,plain,
    ! [X11,X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X12,X13),c_HOL_Oabs__class_Oabs(X11,X13),X13),X13) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X12,X13),c_HOL_Oabs__class_Oabs(X11,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_513]) ).

fof(c_0_918,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Ofield(X12)
      | c_Ring__and__Field_Odvd__class_Odvd(X10,X9,tc_Polynomial_Opoly(X12))
      | X11 = c_HOL_Ozero__class_Ozero(X12)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X11,X10,X12),X9,tc_Polynomial_Opoly(X12)) ),
    inference(variable_rename,[status(thm)],[c_0_514]) ).

fof(c_0_919,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Ofield(X12)
      | c_Ring__and__Field_Odvd__class_Odvd(X10,X9,tc_Polynomial_Opoly(X12))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X10,c_Polynomial_Osmult(X11,X9,X12),tc_Polynomial_Opoly(X12))
      | X11 = c_HOL_Ozero__class_Ozero(X12) ),
    inference(variable_rename,[status(thm)],[c_0_515]) ).

fof(c_0_920,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Ofield(X12)
      | c_Ring__and__Field_Odvd__class_Odvd(X10,X9,tc_Polynomial_Opoly(X12))
      | X11 = c_HOL_Ozero__class_Ozero(X12)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X10,c_Polynomial_Osmult(X11,X9,X12),tc_Polynomial_Opoly(X12)) ),
    inference(variable_rename,[status(thm)],[c_0_516]) ).

fof(c_0_921,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_Ring__and__Field_Ofield(X16)
      | ~ class_Ring__and__Field_Odivision__by__zero(X16)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X15,X14,X16),X13,X16) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X15,X13,X16),X14,X16) ),
    inference(variable_rename,[status(thm)],[c_0_517]) ).

fof(c_0_922,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Osemiring__div(X17)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X14,X16,X17),c_HOL_Otimes__class_Otimes(X14,X15,X17),X17) = c_Divides_Odiv__class_Odiv(X16,X15,X17)
      | X14 = c_HOL_Ozero__class_Ozero(X17) ),
    inference(variable_rename,[status(thm)],[c_0_518]) ).

fof(c_0_923,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Osemiring__div(X17)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X16,X14,X17),c_HOL_Otimes__class_Otimes(X15,X14,X17),X17) = c_Divides_Odiv__class_Odiv(X16,X15,X17)
      | X14 = c_HOL_Ozero__class_Ozero(X17) ),
    inference(variable_rename,[status(thm)],[c_0_519]) ).

fof(c_0_924,plain,
    ! [X10,X11,X12,X13] :
      ( ~ class_Ring__and__Field_Ofield(X13)
      | c_Ring__and__Field_Odvd__class_Odvd(X12,X10,tc_Polynomial_Opoly(X13))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X12,c_Polynomial_Opoly__gcd(X11,X10,X13),tc_Polynomial_Opoly(X13)) ),
    inference(variable_rename,[status(thm)],[c_0_520]) ).

fof(c_0_925,plain,
    ! [X10,X11,X12,X13] :
      ( ~ class_Ring__and__Field_Ofield(X13)
      | c_Ring__and__Field_Odvd__class_Odvd(X12,X11,tc_Polynomial_Opoly(X13))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X12,c_Polynomial_Opoly__gcd(X11,X10,X13),tc_Polynomial_Opoly(X13)) ),
    inference(variable_rename,[status(thm)],[c_0_521]) ).

fof(c_0_926,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X12)
      | c_Ring__and__Field_Odvd__class_Odvd(X10,X9,tc_Polynomial_Opoly(X12))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X11,X10,X12),X9,tc_Polynomial_Opoly(X12)) ),
    inference(variable_rename,[status(thm)],[c_0_522]) ).

fof(c_0_927,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_OrderedGroup_Oab__semigroup__mult(X17)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X16,X15,X17),X14,X17) = c_HOL_Otimes__class_Otimes(X16,c_HOL_Otimes__class_Otimes(X15,X14,X17),X17) ),
    inference(variable_rename,[status(thm)],[c_0_523]) ).

fof(c_0_928,plain,
    ! [X30,X31,X32,X33] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X33)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X32,X31,X33),X30,X33) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X32,X30,X33),X31,X33) ),
    inference(variable_rename,[status(thm)],[c_0_524]) ).

fof(c_0_929,plain,
    ! [X30,X31,X32,X33] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X33)
      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X32,X31,X33),X30,X33) = c_HOL_Otimes__class_Otimes(X32,c_HOL_Otimes__class_Otimes(X31,X30,X33),X33) ),
    inference(variable_rename,[status(thm)],[c_0_525]) ).

fof(c_0_930,plain,
    ! [X29,X30,X31,X32] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X32)
      | c_HOL_Otimes__class_Otimes(X31,c_HOL_Otimes__class_Otimes(X30,X29,X32),X32) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X31,X30,X32),X29,X32) ),
    inference(variable_rename,[status(thm)],[c_0_526]) ).

fof(c_0_931,plain,
    ! [X29,X30,X31,X32] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X32)
      | c_HOL_Otimes__class_Otimes(X31,c_HOL_Otimes__class_Otimes(X30,X29,X32),X32) = c_HOL_Otimes__class_Otimes(X30,c_HOL_Otimes__class_Otimes(X31,X29,X32),X32) ),
    inference(variable_rename,[status(thm)],[c_0_527]) ).

fof(c_0_932,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X16)
      | c_HOL_Otimes__class_Otimes(X15,c_HOL_Otimes__class_Otimes(X14,X13,X16),X16) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X15,X14,X16),X13,X16) ),
    inference(variable_rename,[status(thm)],[c_0_528]) ).

fof(c_0_933,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_Ring__and__Field_Ofield(X16)
      | c_Polynomial_Opoly__gcd(X15,c_Polynomial_Opoly__gcd(X14,X13,X16),X16) = c_Polynomial_Opoly__gcd(X14,c_Polynomial_Opoly__gcd(X15,X13,X16),X16) ),
    inference(variable_rename,[status(thm)],[c_0_529]) ).

fof(c_0_934,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_Ring__and__Field_Ofield(X16)
      | c_Polynomial_Opoly__gcd(c_Polynomial_Opoly__gcd(X15,X14,X16),X13,X16) = c_Polynomial_Opoly__gcd(X15,c_Polynomial_Opoly__gcd(X14,X13,X16),X16) ),
    inference(variable_rename,[status(thm)],[c_0_530]) ).

fof(c_0_935,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X17)
      | c_HOL_Oplus__class_Oplus(X16,c_HOL_Oplus__class_Oplus(X15,X14,X17),X17) = c_HOL_Oplus__class_Oplus(X15,c_HOL_Oplus__class_Oplus(X16,X14,X17),X17) ),
    inference(variable_rename,[status(thm)],[c_0_531]) ).

fof(c_0_936,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X17)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X16,X15,X17),X14,X17) = c_HOL_Oplus__class_Oplus(X16,c_HOL_Oplus__class_Oplus(X15,X14,X17),X17) ),
    inference(variable_rename,[status(thm)],[c_0_532]) ).

fof(c_0_937,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X16)
      | c_HOL_Oplus__class_Oplus(X15,c_HOL_Oplus__class_Oplus(X14,X13,X16),X16) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X15,X14,X16),X13,X16) ),
    inference(variable_rename,[status(thm)],[c_0_533]) ).

fof(c_0_938,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Oab__group__add(X16)
      | c_HOL_Oplus__class_Oplus(X15,c_HOL_Oplus__class_Oplus(X14,X13,X16),X16) = c_HOL_Oplus__class_Oplus(X14,c_HOL_Oplus__class_Oplus(X15,X13,X16),X16) ),
    inference(variable_rename,[status(thm)],[c_0_534]) ).

fof(c_0_939,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_OrderedGroup_Oab__semigroup__add(X17)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X16,X15,X17),X14,X17) = c_HOL_Oplus__class_Oplus(X16,c_HOL_Oplus__class_Oplus(X15,X14,X17),X17) ),
    inference(variable_rename,[status(thm)],[c_0_535]) ).

fof(c_0_940,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X18)
      | c_HOL_Oplus__class_Oplus(X17,c_HOL_Oplus__class_Oplus(X16,X15,X18),X18) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X17,X16,X18),X15,X18) ),
    inference(variable_rename,[status(thm)],[c_0_536]) ).

fof(c_0_941,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X17)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X16,X15,X17),X14,X17) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X16,X14,X17),X15,X17) ),
    inference(variable_rename,[status(thm)],[c_0_537]) ).

fof(c_0_942,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X18)
      | c_HOL_Oplus__class_Oplus(X17,c_HOL_Oplus__class_Oplus(X16,X15,X18),X18) = c_HOL_Oplus__class_Oplus(X16,c_HOL_Oplus__class_Oplus(X17,X15,X18),X18) ),
    inference(variable_rename,[status(thm)],[c_0_538]) ).

fof(c_0_943,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X17)
      | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X16,X15,X17),X14,X17) = c_HOL_Oplus__class_Oplus(X16,c_HOL_Oplus__class_Oplus(X15,X14,X17),X17) ),
    inference(variable_rename,[status(thm)],[c_0_539]) ).

fof(c_0_944,plain,
    ! [X11,X12,X13,X14] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X14)
      | c_Polynomial_Osmult(X13,c_Polynomial_Osmult(X12,X11,X14),X14) = c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X13,X12,X14),X11,X14) ),
    inference(variable_rename,[status(thm)],[c_0_540]) ).

fof(c_0_945,plain,
    ! [X9,X10,X11] :
      ( ~ class_OrderedGroup_Omonoid__mult(X11)
      | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X10,X9,X11),X10,X11) = c_HOL_Otimes__class_Otimes(X10,c_Power_Opower__class_Opower(X10,X9,X11),X11) ),
    inference(variable_rename,[status(thm)],[c_0_541]) ).

fof(c_0_946,plain,
    ! [X6] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
      | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ozero__class_Ozero(X6),X6),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ozero__class_Ozero(X6),X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_542]) ).

fof(c_0_947,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X17)
      | c_Ring__and__Field_Odvd__class_Odvd(X15,X14,X17)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X16,X15,X17),X14,X17) ),
    inference(variable_rename,[status(thm)],[c_0_543]) ).

fof(c_0_948,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X17)
      | c_Ring__and__Field_Odvd__class_Odvd(X16,X14,X17)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X16,X15,X17),X14,X17) ),
    inference(variable_rename,[status(thm)],[c_0_544]) ).

fof(c_0_949,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Divides_Osemiring__div(X17)
      | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X16,X15,X17),X14,X17) = c_Divides_Odiv__class_Omod(X16,X14,X17)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X14,X15,X17) ),
    inference(variable_rename,[status(thm)],[c_0_545]) ).

fof(c_0_950,plain,
    ! [X11,X12,X13] :
      ( ~ class_Divides_Osemiring__div(X13)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X13),X12,X13),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X13),X11,X13),X13) = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_546]) ).

fof(c_0_951,plain,
    ! [X9,X10,X11] :
      ( ~ class_Ring__and__Field_Oordered__idom(X11)
      | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X10,X11),X9,X11),X11) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X10,X9,X11),X11) ),
    inference(variable_rename,[status(thm)],[c_0_547]) ).

fof(c_0_952,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Oidom(X13)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X13),X12,X13),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X13),X11,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_548]) ).

fof(c_0_953,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Oidom(X13)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X12,c_HOL_Ozero__class_Ozero(X13),X13),c_HOL_Otimes__class_Otimes(X11,c_HOL_Ozero__class_Ozero(X13),X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_549]) ).

fof(c_0_954,plain,
    ! [X17,X18,X19,X20,X21] :
      ( ~ class_Ring__and__Field_Ofield(X21)
      | c_HOL_Oinverse__class_Odivide(X19,X18,X21) != c_HOL_Oinverse__class_Odivide(X20,X17,X21)
      | X17 = c_HOL_Ozero__class_Ozero(X21)
      | X18 = c_HOL_Ozero__class_Ozero(X21)
      | c_HOL_Otimes__class_Otimes(X19,X17,X21) = c_HOL_Otimes__class_Otimes(X20,X18,X21) ),
    inference(variable_rename,[status(thm)],[c_0_550]) ).

fof(c_0_955,plain,
    ! [X17,X18,X19,X20,X21] :
      ( ~ class_Ring__and__Field_Ofield(X21)
      | c_HOL_Otimes__class_Otimes(X19,X17,X21) != c_HOL_Otimes__class_Otimes(X20,X18,X21)
      | X17 = c_HOL_Ozero__class_Ozero(X21)
      | X18 = c_HOL_Ozero__class_Ozero(X21)
      | c_HOL_Oinverse__class_Odivide(X19,X18,X21) = c_HOL_Oinverse__class_Odivide(X20,X17,X21) ),
    inference(variable_rename,[status(thm)],[c_0_551]) ).

fof(c_0_956,plain,
    ! [X6,X7,X8] :
      ( ~ class_Divides_Oring__div(X8)
      | c_Divides_Odiv__class_Odiv(X7,c_HOL_Ouminus__class_Ouminus(X6,X8),X8) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X7,X6,X8),X8)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_552]) ).

fof(c_0_957,plain,
    ! [X6,X7,X8] :
      ( ~ class_Divides_Oring__div(X8)
      | c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X7,X8),X6,X8) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X7,X6,X8),X8)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_553]) ).

fof(c_0_958,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_OrderedGroup_Oab__group__add(X16)
      | c_HOL_Oplus__class_Oplus(X15,c_HOL_Oplus__class_Oplus(X14,X13,X16),X16) != X14
      | X15 = c_HOL_Ouminus__class_Ouminus(X13,X16) ),
    inference(variable_rename,[status(thm)],[c_0_554]) ).

fof(c_0_959,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Ofield(X12)
      | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X11,X10,X12),X9,tc_Polynomial_Opoly(X12))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X10,X9,tc_Polynomial_Opoly(X12))
      | X11 = c_HOL_Ozero__class_Ozero(X12) ),
    inference(variable_rename,[status(thm)],[c_0_555]) ).

fof(c_0_960,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Ofield(X12)
      | c_Ring__and__Field_Odvd__class_Odvd(X10,c_Polynomial_Osmult(X11,X9,X12),tc_Polynomial_Opoly(X12))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X10,X9,tc_Polynomial_Opoly(X12))
      | X11 = c_HOL_Ozero__class_Ozero(X12) ),
    inference(variable_rename,[status(thm)],[c_0_556]) ).

fof(c_0_961,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Ofield(X12)
      | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X11,X10,X12),X9,tc_Polynomial_Opoly(X12))
      | X11 = c_HOL_Ozero__class_Ozero(X12)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X10,X9,tc_Polynomial_Opoly(X12)) ),
    inference(variable_rename,[status(thm)],[c_0_557]) ).

fof(c_0_962,plain,
    ! [X9,X10,X11,X12] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X12)
      | c_Ring__and__Field_Odvd__class_Odvd(X10,c_Polynomial_Osmult(X11,X9,X12),tc_Polynomial_Opoly(X12))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X10,X9,tc_Polynomial_Opoly(X12)) ),
    inference(variable_rename,[status(thm)],[c_0_558]) ).

fof(c_0_963,plain,
    ! [X11,X12,X13] :
      ( ~ class_Divides_Osemiring__div(X13)
      | c_HOL_Otimes__class_Otimes(X12,c_Divides_Odiv__class_Odiv(X11,X12,X13),X13) = X11
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X12,X11,X13) ),
    inference(variable_rename,[status(thm)],[c_0_559]) ).

fof(c_0_964,plain,
    ! [X11,X12,X13] :
      ( ~ class_Divides_Osemiring__div(X13)
      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X11,X12,X13),X12,X13) = X11
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X12,X11,X13) ),
    inference(variable_rename,[status(thm)],[c_0_560]) ).

fof(c_0_965,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X17)
      | c_Ring__and__Field_Odvd__class_Odvd(X16,c_HOL_Otimes__class_Otimes(X15,X14,X17),X17)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X16,X15,X17) ),
    inference(variable_rename,[status(thm)],[c_0_561]) ).

fof(c_0_966,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X17)
      | c_Ring__and__Field_Odvd__class_Odvd(X16,c_HOL_Otimes__class_Otimes(X15,X14,X17),X17)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X16,X14,X17) ),
    inference(variable_rename,[status(thm)],[c_0_562]) ).

fof(c_0_967,plain,
    ! [X9,X10,X11] :
      ( c_Ring__and__Field_Odvd__class_Odvd(X10,c_Polynomial_Osmult(X11,X9,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X10,X9,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_563])])]) ).

fof(c_0_968,plain,
    ! [X11,X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X12,X11,X13),X13) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X11,X12,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_564]) ).

fof(c_0_969,plain,
    ! [X12,X13] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X13)
      | c_HOL_Oplus__class_Oplus(X12,X12,X13) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X13),c_HOL_Oone__class_Oone(X13),X13),X12,X13) ),
    inference(variable_rename,[status(thm)],[c_0_565]) ).

fof(c_0_970,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Odivision__ring(X13)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X12,X11,X13),X13) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X11,X13),c_HOL_Oinverse__class_Oinverse(X12,X13),X13)
      | X11 = c_HOL_Ozero__class_Ozero(X13)
      | X12 = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_566]) ).

fof(c_0_971,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Oordered__field(X13)
      | ~ class_Ring__and__Field_Odivision__by__zero(X13)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X12,X11,X13),X13) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X12,X13),c_HOL_Oabs__class_Oabs(X11,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_567]) ).

fof(c_0_972,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Ofield(X13)
      | ~ class_Ring__and__Field_Odivision__by__zero(X13)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X12,X11,X13),X13) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X12,X13),c_HOL_Oinverse__class_Oinverse(X11,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_568]) ).

fof(c_0_973,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Oordered__field(X13)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X12,X11,X13),X13) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X12,X13),c_HOL_Oabs__class_Oabs(X11,X13),X13)
      | X11 = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_569]) ).

fof(c_0_974,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X17)
      | c_Ring__and__Field_Odvd__class_Odvd(X16,X14,X17)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X15,X14,X17)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X16,X15,X17) ),
    inference(variable_rename,[status(thm)],[c_0_570]) ).

fof(c_0_975,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Oordered__idom(X13)
      | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X12,X11,X13),X13) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X12,X13),c_HOL_Oabs__class_Oabs(X11,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_571]) ).

fof(c_0_976,plain,
    ! [X11,X12,X13] :
      ( ~ class_OrderedGroup_Oab__group__add(X13)
      | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X12,X13),c_HOL_Ouminus__class_Ouminus(X11,X13),X13) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X12,X11,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_572]) ).

fof(c_0_977,plain,
    ! [X11,X12,X13] :
      ( ~ class_OrderedGroup_Ogroup__add(X13)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X12,X11,X13),X13) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X11,X13),c_HOL_Ouminus__class_Ouminus(X12,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_573]) ).

fof(c_0_978,plain,
    ! [X11,X12,X13] :
      ( ~ class_OrderedGroup_Oab__group__add(X13)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X12,X11,X13),X13) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X12,X13),c_HOL_Ouminus__class_Ouminus(X11,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_574]) ).

fof(c_0_979,plain,
    ! [X6,X7,X8] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X8)
      | c_HOL_Otimes__class_Otimes(X7,c_HOL_Otimes__class_Otimes(X7,X6,X8),X8) = c_HOL_Otimes__class_Otimes(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_575]) ).

fof(c_0_980,plain,
    ! [X11,X12,X13] :
      ( ~ class_Divides_Osemiring__div(X13)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X11,X12,X13),X11,X13) = c_Divides_Odiv__class_Omod(X12,X11,X13) ),
    inference(variable_rename,[status(thm)],[c_0_576]) ).

fof(c_0_981,plain,
    ! [X11,X12,X13] :
      ( ~ class_Divides_Osemiring__div(X13)
      | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(X12,X11,X13),X11,X13) = c_Divides_Odiv__class_Omod(X12,X11,X13) ),
    inference(variable_rename,[status(thm)],[c_0_577]) ).

fof(c_0_982,plain,
    ! [X11,X12,X13] :
      ( ~ class_Divides_Osemiring__div(X13)
      | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X12,X11,X13),X11,X13) = c_Divides_Odiv__class_Omod(X12,X11,X13) ),
    inference(variable_rename,[status(thm)],[c_0_578]) ).

fof(c_0_983,plain,
    ! [X11,X12,X13] :
      ( ~ class_OrderedGroup_Ogroup__add(X13)
      | c_HOL_Oplus__class_Oplus(X12,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X12,X13),X11,X13),X13) = X11 ),
    inference(variable_rename,[status(thm)],[c_0_579]) ).

fof(c_0_984,plain,
    ! [X9,X10,X11] :
      ( ~ class_Ring__and__Field_Odivision__ring(X11)
      | ~ class_Ring__and__Field_Odivision__by__zero(X11)
      | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X10,X9,X11),X11) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X10,X11),X9,X11) ),
    inference(variable_rename,[status(thm)],[c_0_580]) ).

fof(c_0_985,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Ofield(X13)
      | ~ class_Ring__and__Field_Odivision__by__zero(X13)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X12,X11,X13),X13) = c_HOL_Oinverse__class_Odivide(X12,c_HOL_Ouminus__class_Ouminus(X11,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_581]) ).

fof(c_0_986,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Ofield(X13)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X12,X11,X13),X13) = c_HOL_Oinverse__class_Odivide(X12,c_HOL_Ouminus__class_Ouminus(X11,X13),X13)
      | X11 = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_582]) ).

fof(c_0_987,plain,
    ! [X9,X10,X11] :
      ( ~ class_Ring__and__Field_Odivision__ring(X11)
      | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X10,X9,X11),X11) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X10,X11),X9,X11)
      | X10 = c_HOL_Ozero__class_Ozero(X11) ),
    inference(variable_rename,[status(thm)],[c_0_583]) ).

fof(c_0_988,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Oring(X13)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X12,X11,X13),X13) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X12,X13),X11,X13) ),
    inference(variable_rename,[status(thm)],[c_0_584]) ).

fof(c_0_989,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Oring(X13)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X12,X11,X13),X13) = c_HOL_Otimes__class_Otimes(X12,c_HOL_Ouminus__class_Ouminus(X11,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_585]) ).

fof(c_0_990,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Ofield(X13)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X12,X11,X13),X13) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X12,X13),X11,X13) ),
    inference(variable_rename,[status(thm)],[c_0_586]) ).

fof(c_0_991,plain,
    ! [X11,X12,X13] :
      ( ~ class_RealVector_Oreal__normed__algebra(X13)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X12,X13),X11,X13) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X12,X11,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_587]) ).

fof(c_0_992,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Oreal__normed__algebra(X8)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X7,X8),X6,X8) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X7,X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_588]) ).

fof(c_0_993,plain,
    ! [X11,X12,X13] :
      ( ~ class_RealVector_Oreal__normed__algebra(X13)
      | c_HOL_Otimes__class_Otimes(X12,c_HOL_Ouminus__class_Ouminus(X11,X13),X13) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X12,X11,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_589]) ).

fof(c_0_994,plain,
    ! [X24,X25,X26] :
      ( ~ class_RealVector_Oreal__normed__algebra(X26)
      | c_HOL_Otimes__class_Otimes(X24,c_HOL_Ouminus__class_Ouminus(X25,X26),X26) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X24,X25,X26),X26) ),
    inference(variable_rename,[status(thm)],[c_0_590]) ).

fof(c_0_995,plain,
    ! [X6,X7,X8] :
      ( ~ class_RealVector_Oreal__normed__field(X8)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X7,X8),X6,X8) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X7,X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_591]) ).

fof(c_0_996,plain,
    ! [X9,X10,X11] :
      ( ~ class_Ring__and__Field_Oordered__idom(X11)
      | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X10,X9,X11),X11) = c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X10,X11),X9,X11) ),
    inference(variable_rename,[status(thm)],[c_0_592]) ).

fof(c_0_997,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Oidom(X13)
      | c_HOL_Otimes__class_Otimes(X12,X12,X13) != c_HOL_Otimes__class_Otimes(X11,X11,X13)
      | X12 = c_HOL_Ouminus__class_Ouminus(X11,X13)
      | X12 = X11 ),
    inference(variable_rename,[status(thm)],[c_0_593]) ).

fof(c_0_998,plain,
    ! [X13,X14,X15] :
      ( ~ class_OrderedGroup_Oab__group__add(X15)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X13,X15),c_HOL_Oplus__class_Oplus(X14,X13,X15),X15) = X14 ),
    inference(variable_rename,[status(thm)],[c_0_594]) ).

fof(c_0_999,plain,
    ! [X11,X12,X13] :
      ( ~ class_OrderedGroup_Ogroup__add(X13)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X12,X13),c_HOL_Oplus__class_Oplus(X12,X11,X13),X13) = X11 ),
    inference(variable_rename,[status(thm)],[c_0_595]) ).

fof(c_0_1000,plain,
    ! [X14,X15] :
      ( ~ class_Ring__and__Field_Ofield(X15)
      | ~ class_Ring__and__Field_Odivision__by__zero(X15)
      | c_HOL_Ozero__class_Ozero(X15) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X15),X14,X15),X14,X15) ),
    inference(variable_rename,[status(thm)],[c_0_596]) ).

fof(c_0_1001,plain,
    ! [X14,X15] :
      ( ~ class_Ring__and__Field_Ofield(X15)
      | ~ class_Ring__and__Field_Odivision__by__zero(X15)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X15),X14,X15),X14,X15) = c_HOL_Ozero__class_Ozero(X15) ),
    inference(variable_rename,[status(thm)],[c_0_597]) ).

fof(c_0_1002,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Ofield(X13)
      | ~ class_Ring__and__Field_Odivision__by__zero(X13)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X12,X11,X13),X13) = c_HOL_Oinverse__class_Odivide(X11,X12,X13) ),
    inference(variable_rename,[status(thm)],[c_0_598]) ).

fof(c_0_1003,plain,
    ! [X12,X13,X14] :
      ( ~ class_Ring__and__Field_Oordered__idom(X14)
      | c_Ring__and__Field_Odvd__class_Odvd(X12,X13,X14)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X12,c_HOL_Oabs__class_Oabs(X13,X14),X14) ),
    inference(variable_rename,[status(thm)],[c_0_599]) ).

fof(c_0_1004,plain,
    ! [X12,X13,X14] :
      ( ~ class_Ring__and__Field_Oordered__idom(X14)
      | c_Ring__and__Field_Odvd__class_Odvd(X12,X13,X14)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X12,X14),X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_600]) ).

fof(c_0_1005,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X8)
      | c_Ring__and__Field_Odvd__class_Odvd(X7,X6,X8)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X7,X8),X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_601]) ).

fof(c_0_1006,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X8)
      | c_Ring__and__Field_Odvd__class_Odvd(X7,X6,X8)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X7,c_HOL_Ouminus__class_Ouminus(X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_602]) ).

fof(c_0_1007,plain,
    ! [X13,X14,X15,X16] :
      ( ~ class_Ring__and__Field_Oidom(X16)
      | ~ class_Int_Onumber__ring(X16)
      | c_HOL_Oplus__class_Oplus(X15,X14,X16) != c_HOL_Oplus__class_Oplus(X15,X13,X16)
      | X14 = X13 ),
    inference(variable_rename,[status(thm)],[c_0_603]) ).

fof(c_0_1008,plain,
    ! [X6,X7] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X7)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X7),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X7),X6,X7),X7) ),
    inference(variable_rename,[status(thm)],[c_0_604]) ).

fof(c_0_1009,plain,
    ! [X11,X12,X13] :
      ( ~ class_OrderedGroup_Oab__group__add(X13)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X12,X11,X13),X13) = c_HOL_Ominus__class_Ominus(X11,X12,X13) ),
    inference(variable_rename,[status(thm)],[c_0_605]) ).

fof(c_0_1010,plain,
    ! [X14,X15,X16] :
      ( ~ class_Ring__and__Field_Ofield(X16)
      | ~ class_Ring__and__Field_Odivision__by__zero(X16)
      | X15 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X15,X14,X16),X14,X16)
      | X14 = c_HOL_Ozero__class_Ozero(X16) ),
    inference(variable_rename,[status(thm)],[c_0_606]) ).

fof(c_0_1011,plain,
    ! [X14,X15,X16] :
      ( ~ class_Ring__and__Field_Ofield(X16)
      | ~ class_Ring__and__Field_Odivision__by__zero(X16)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X15,X14,X16),X14,X16) = X15
      | X14 = c_HOL_Ozero__class_Ozero(X16) ),
    inference(variable_rename,[status(thm)],[c_0_607]) ).

fof(c_0_1012,plain,
    ! [X14,X15,X16] :
      ( ~ class_Ring__and__Field_Ofield(X16)
      | ~ class_Ring__and__Field_Odivision__by__zero(X16)
      | X15 = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X15,X14,X16),X14,X16)
      | X14 = c_HOL_Ozero__class_Ozero(X16) ),
    inference(variable_rename,[status(thm)],[c_0_608]) ).

fof(c_0_1013,plain,
    ! [X14,X15,X16] :
      ( ~ class_Ring__and__Field_Ofield(X16)
      | ~ class_Ring__and__Field_Odivision__by__zero(X16)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X15,X14,X16),X14,X16) = X15
      | X14 = c_HOL_Ozero__class_Ozero(X16) ),
    inference(variable_rename,[status(thm)],[c_0_609]) ).

fof(c_0_1014,plain,
    ! [X26,X27,X28,X29] :
      ( ~ class_OrderedGroup_Oab__group__add(X29)
      | c_HOL_Ominus__class_Ominus(X28,X28,X29) != c_HOL_Ominus__class_Ominus(X27,X26,X29)
      | X27 = X26 ),
    inference(variable_rename,[status(thm)],[c_0_610]) ).

fof(c_0_1015,plain,
    ! [X24,X25,X26,X27] :
      ( ~ class_OrderedGroup_Oab__group__add(X27)
      | c_HOL_Ominus__class_Ominus(X25,X24,X27) != c_HOL_Ominus__class_Ominus(X26,X26,X27)
      | X25 = X24 ),
    inference(variable_rename,[status(thm)],[c_0_611]) ).

fof(c_0_1016,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X17)
      | c_HOL_Oplus__class_Oplus(X16,X15,X17) != c_HOL_Oplus__class_Oplus(X16,X14,X17)
      | X15 = X14 ),
    inference(variable_rename,[status(thm)],[c_0_612]) ).

fof(c_0_1017,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X17)
      | c_HOL_Oplus__class_Oplus(X16,X15,X17) != c_HOL_Oplus__class_Oplus(X16,X14,X17)
      | X15 = X14 ),
    inference(variable_rename,[status(thm)],[c_0_613]) ).

fof(c_0_1018,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X17)
      | c_HOL_Oplus__class_Oplus(X15,X16,X17) != c_HOL_Oplus__class_Oplus(X14,X16,X17)
      | X15 = X14 ),
    inference(variable_rename,[status(thm)],[c_0_614]) ).

fof(c_0_1019,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Ofield(X13)
      | ~ class_Ring__and__Field_Odivision__by__zero(X13)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X12,X13),c_HOL_Ouminus__class_Ouminus(X11,X13),X13) = c_HOL_Oinverse__class_Odivide(X12,X11,X13) ),
    inference(variable_rename,[status(thm)],[c_0_615]) ).

fof(c_0_1020,plain,
    ! [X14,X15,X16] :
      ( ~ class_Ring__and__Field_Ofield(X16)
      | X14 = c_HOL_Ozero__class_Ozero(X16)
      | X15 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X15,X14,X16),X14,X16) ),
    inference(variable_rename,[status(thm)],[c_0_616]) ).

fof(c_0_1021,plain,
    ! [X14,X15,X16] :
      ( ~ class_Ring__and__Field_Ofield(X16)
      | X14 = c_HOL_Ozero__class_Ozero(X16)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X15,X14,X16),X14,X16) = X15 ),
    inference(variable_rename,[status(thm)],[c_0_617]) ).

fof(c_0_1022,plain,
    ! [X11,X12,X13] :
      ( ~ class_Divides_Osemiring__div(X13)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X12,X11,X13),X11,X13) = X12
      | X11 = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_618]) ).

fof(c_0_1023,plain,
    ! [X11,X12,X13] :
      ( ~ class_Divides_Osemiring__div(X13)
      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X11,X12,X13),X11,X13) = X12
      | X11 = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_619]) ).

fof(c_0_1024,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Ofield(X8)
      | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X7,X6,X8),X7,tc_Polynomial_Opoly(X8)) ),
    inference(variable_rename,[status(thm)],[c_0_620]) ).

fof(c_0_1025,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Ofield(X8)
      | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X7,X6,X8),X6,tc_Polynomial_Opoly(X8)) ),
    inference(variable_rename,[status(thm)],[c_0_621]) ).

fof(c_0_1026,plain,
    ! [X12,X13,X14] :
      ( ~ class_Ring__and__Field_Oordered__idom(X14)
      | c_Ring__and__Field_Odvd__class_Odvd(X12,c_HOL_Oabs__class_Oabs(X13,X14),X14)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_622]) ).

fof(c_0_1027,plain,
    ! [X12,X13,X14] :
      ( ~ class_Ring__and__Field_Oordered__idom(X14)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X12,X14),X13,X14)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_623]) ).

fof(c_0_1028,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X8)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X7,X8),X6,X8)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_624]) ).

fof(c_0_1029,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Ocomm__ring__1(X8)
      | c_Ring__and__Field_Odvd__class_Odvd(X7,c_HOL_Ouminus__class_Ouminus(X6,X8),X8)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[c_0_625]) ).

fof(c_0_1030,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Ofield(X13)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X12,X13),c_HOL_Ouminus__class_Ouminus(X11,X13),X13) = c_HOL_Oinverse__class_Odivide(X12,X11,X13)
      | X11 = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_626]) ).

fof(c_0_1031,plain,
    ! [X11,X12,X13] :
      ( ~ class_Divides_Osemiring__div(X13)
      | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X12,X11,X13),X11,X13) = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_627]) ).

fof(c_0_1032,plain,
    ! [X11,X12,X13] :
      ( ~ class_Divides_Osemiring__div(X13)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X11,X12,X13),X11,X13) = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_628]) ).

fof(c_0_1033,plain,
    ! [X11,X12,X13] :
      ( ~ class_Divides_Osemiring__div(X13)
      | c_Divides_Odiv__class_Omod(c_HOL_Otimes__class_Otimes(X12,X11,X13),X11,X13) = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_629]) ).

fof(c_0_1034,plain,
    ! [X11,X12,X13] :
      ( ~ class_OrderedGroup_Ogroup__add(X13)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X12,X11,X13),X11,X13) = X12 ),
    inference(variable_rename,[status(thm)],[c_0_630]) ).

fof(c_0_1035,plain,
    ! [X11,X12,X13] :
      ( ~ class_OrderedGroup_Ogroup__add(X13)
      | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X12,X11,X13),X11,X13) = X12 ),
    inference(variable_rename,[status(thm)],[c_0_631]) ).

fof(c_0_1036,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X13)
      | c_Ring__and__Field_Odvd__class_Odvd(X12,c_HOL_Otimes__class_Otimes(X11,X12,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_632]) ).

fof(c_0_1037,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X13)
      | c_Ring__and__Field_Odvd__class_Odvd(X12,c_HOL_Otimes__class_Otimes(X12,X11,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_633]) ).

fof(c_0_1038,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Odvd(X13)
      | c_Ring__and__Field_Odvd__class_Odvd(X12,c_HOL_Otimes__class_Otimes(X12,X11,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_634]) ).

fof(c_0_1039,plain,
    ! [X11,X12] :
      ( ~ class_Ring__and__Field_Oidom(X12)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X11,X12),c_HOL_Ouminus__class_Ouminus(X11,X12),X12) = c_HOL_Otimes__class_Otimes(X11,X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_635]) ).

fof(c_0_1040,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Oring(X13)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X12,X13),c_HOL_Ouminus__class_Ouminus(X11,X13),X13) = c_HOL_Otimes__class_Otimes(X12,X11,X13) ),
    inference(variable_rename,[status(thm)],[c_0_636]) ).

fof(c_0_1041,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__idom(X10)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X9,X10),c_HOL_Oabs__class_Oabs(X9,X10),X10) = c_HOL_Otimes__class_Otimes(X9,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_637]) ).

fof(c_0_1042,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Oring(X13)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X12,X13),X11,X13) = c_HOL_Otimes__class_Otimes(X12,c_HOL_Ouminus__class_Ouminus(X11,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_638]) ).

fof(c_0_1043,plain,
    ! [X11,X12,X13] :
      ( ~ class_Divides_Osemiring__div(X13)
      | c_Divides_Odiv__class_Omod(X11,X12,X13) != c_HOL_Ozero__class_Ozero(X13)
      | c_Ring__and__Field_Odvd__class_Odvd(X12,X11,X13) ),
    inference(variable_rename,[status(thm)],[c_0_639]) ).

fof(c_0_1044,plain,
    ! [X11,X12,X13] :
      ( ~ class_Divides_Osemiring__div(X13)
      | c_Divides_Odiv__class_Omod(X11,X12,X13) = c_HOL_Ozero__class_Ozero(X13)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(X12,X11,X13) ),
    inference(variable_rename,[status(thm)],[c_0_640]) ).

fof(c_0_1045,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Ofield(X8)
      | ~ class_Int_Onumber__ring(X8)
      | c_HOL_Oinverse__class_Odivide(X7,X6,X8) = c_HOL_Otimes__class_Otimes(X7,c_HOL_Oinverse__class_Oinverse(X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_641]) ).

fof(c_0_1046,plain,
    ! [X6,X7,X8] :
      ( ~ class_OrderedGroup_Oab__group__add(X8)
      | c_HOL_Ominus__class_Ominus(X7,X6,X8) = c_HOL_Oplus__class_Oplus(X7,c_HOL_Ouminus__class_Ouminus(X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_642]) ).

fof(c_0_1047,plain,
    ! [X6,X7,X8] :
      ( ~ class_Int_Onumber__ring(X8)
      | c_HOL_Ominus__class_Ominus(X7,X6,X8) = c_HOL_Oplus__class_Oplus(X7,c_HOL_Ouminus__class_Ouminus(X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_643]) ).

fof(c_0_1048,plain,
    ! [X11,X12,X13] :
      ( ~ class_OrderedGroup_Ogroup__add(X13)
      | c_HOL_Ominus__class_Ominus(X12,X11,X13) = c_HOL_Oplus__class_Oplus(X12,c_HOL_Ouminus__class_Ouminus(X11,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_644]) ).

fof(c_0_1049,plain,
    ! [X11,X12,X13] :
      ( ~ class_OrderedGroup_Oab__group__add(X13)
      | c_HOL_Ominus__class_Ominus(X12,X11,X13) = c_HOL_Oplus__class_Oplus(X12,c_HOL_Ouminus__class_Ouminus(X11,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_645]) ).

fof(c_0_1050,plain,
    ! [X11,X12,X13] :
      ( ~ class_OrderedGroup_Ogroup__add(X13)
      | c_HOL_Ominus__class_Ominus(X12,c_HOL_Ouminus__class_Ouminus(X11,X13),X13) = c_HOL_Oplus__class_Oplus(X12,X11,X13) ),
    inference(variable_rename,[status(thm)],[c_0_646]) ).

fof(c_0_1051,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Ofield(X13)
      | c_HOL_Oinverse__class_Odivide(X12,X11,X13) = c_HOL_Otimes__class_Otimes(X12,c_HOL_Oinverse__class_Oinverse(X11,X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_647]) ).

fof(c_0_1052,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    c_0_648 ).

fof(c_0_1053,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    c_0_649 ).

fof(c_0_1054,plain,
    ! [X9,X10,X11] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X11)
      | ~ class_Ring__and__Field_Ono__zero__divisors(X11)
      | ~ class_Ring__and__Field_Omult__zero(X11)
      | ~ class_Power_Opower(X11)
      | c_Power_Opower__class_Opower(X10,X9,X11) != c_HOL_Ozero__class_Ozero(X11)
      | X10 = c_HOL_Ozero__class_Ozero(X11) ),
    inference(variable_rename,[status(thm)],[c_0_650]) ).

fof(c_0_1055,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X8)
      | c_HOL_Otimes__class_Otimes(X7,X6,X8) = c_HOL_Otimes__class_Otimes(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_651]) ).

fof(c_0_1056,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X13)
      | c_HOL_Otimes__class_Otimes(X12,X11,X13) = c_HOL_Otimes__class_Otimes(X11,X12,X13) ),
    inference(variable_rename,[status(thm)],[c_0_652]) ).

fof(c_0_1057,plain,
    ! [X14,X15,X16] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X16)
      | c_HOL_Oplus__class_Oplus(X15,X14,X16) = c_HOL_Oplus__class_Oplus(X14,X15,X16) ),
    inference(variable_rename,[status(thm)],[c_0_653]) ).

fof(c_0_1058,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X8)
      | c_HOL_Oplus__class_Oplus(X7,X6,X8) = c_HOL_Oplus__class_Oplus(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_654]) ).

fof(c_0_1059,plain,
    ! [X11,X12,X13] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X13)
      | c_HOL_Oplus__class_Oplus(X12,X11,X13) = c_HOL_Oplus__class_Oplus(X11,X12,X13) ),
    inference(variable_rename,[status(thm)],[c_0_655]) ).

fof(c_0_1060,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Ofield(X8)
      | c_Polynomial_Opoly__gcd(X7,X6,X8) = c_Polynomial_Opoly__gcd(X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_656]) ).

fof(c_0_1061,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Odivision__ring(X13)
      | c_HOL_Otimes__class_Otimes(X12,X11,X13) != c_HOL_Oone__class_Oone(X13)
      | c_HOL_Oinverse__class_Oinverse(X12,X13) = X11 ),
    inference(variable_rename,[status(thm)],[c_0_657]) ).

fof(c_0_1062,plain,
    ! [X11,X12,X13] :
      ( ~ class_OrderedGroup_Ogroup__add(X13)
      | c_HOL_Oplus__class_Oplus(X12,X11,X13) != c_HOL_Ozero__class_Ozero(X13)
      | c_HOL_Ouminus__class_Ouminus(X12,X13) = X11 ),
    inference(variable_rename,[status(thm)],[c_0_658]) ).

fof(c_0_1063,plain,
    ! [X11,X12,X13] :
      ( ~ class_OrderedGroup_Ogroup__add(X13)
      | c_HOL_Oplus__class_Oplus(X12,X11,X13) != c_HOL_Ozero__class_Ozero(X13)
      | X12 = c_HOL_Ouminus__class_Ouminus(X11,X13) ),
    inference(variable_rename,[status(thm)],[c_0_659]) ).

fof(c_0_1064,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_660]) ).

fof(c_0_1065,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X13)
      | c_HOL_Otimes__class_Otimes(X12,X11,X13) != c_HOL_Ozero__class_Ozero(X13)
      | X11 = c_HOL_Ozero__class_Ozero(X13)
      | X12 = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_661]) ).

fof(c_0_1066,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X13)
      | c_HOL_Otimes__class_Otimes(X12,X11,X13) != c_HOL_Ozero__class_Ozero(X13)
      | X11 = c_HOL_Ozero__class_Ozero(X13)
      | X12 = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_662]) ).

fof(c_0_1067,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X13)
      | c_HOL_Otimes__class_Otimes(X12,X11,X13) != c_HOL_Ozero__class_Ozero(X13)
      | X12 = c_HOL_Ozero__class_Ozero(X13)
      | X11 = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_663]) ).

fof(c_0_1068,plain,
    ! [X6,X7,X8] :
      ( ~ class_Ring__and__Field_Oidom(X8)
      | ~ class_Int_Onumber__ring(X8)
      | c_HOL_Ominus__class_Ominus(X7,X6,X8) != c_HOL_Ozero__class_Ozero(X8)
      | X7 = X6 ),
    inference(variable_rename,[status(thm)],[c_0_664]) ).

fof(c_0_1069,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X10)
      | X9 = c_HOL_Ozero__class_Ozero(X10)
      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X10),X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_665]) ).

fof(c_0_1070,plain,
    ! [X9,X10,X11] :
      ( ~ class_Ring__and__Field_Oidom(X11)
      | ~ class_Int_Onumber__ring(X11)
      | X9 != c_HOL_Oplus__class_Oplus(X9,X10,X11)
      | X10 = c_HOL_Ozero__class_Ozero(X11) ),
    inference(variable_rename,[status(thm)],[c_0_666]) ).

fof(c_0_1071,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Ofield(X13)
      | c_HOL_Oinverse__class_Odivide(X12,X11,X13) != c_HOL_Oone__class_Oone(X13)
      | X11 = c_HOL_Ozero__class_Ozero(X13)
      | X12 = X11 ),
    inference(variable_rename,[status(thm)],[c_0_667]) ).

fof(c_0_1072,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_668]) ).

fof(c_0_1073,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X10)
      | c_HOL_Oplus__class_Oplus(X9,X9,X10) != c_HOL_Ozero__class_Ozero(X10)
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_669]) ).

fof(c_0_1074,plain,
    ! [X9,X10,X11] :
      ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X11)
      | c_Power_Opower__class_Opower(X10,X9,X11) != c_HOL_Ozero__class_Ozero(X11)
      | X10 = c_HOL_Ozero__class_Ozero(X11) ),
    inference(variable_rename,[status(thm)],[c_0_670]) ).

fof(c_0_1075,plain,
    ! [X11,X12,X13] :
      ( ~ class_OrderedGroup_Oab__group__add(X13)
      | c_HOL_Ominus__class_Ominus(X12,X11,X13) != c_HOL_Ozero__class_Ozero(X13)
      | X12 = X11 ),
    inference(variable_rename,[status(thm)],[c_0_671]) ).

fof(c_0_1076,plain,
    ! [X11,X12,X13] :
      ( ~ class_OrderedGroup_Ogroup__add(X13)
      | c_HOL_Ominus__class_Ominus(X12,X11,X13) != c_HOL_Ozero__class_Ozero(X13)
      | X12 = X11 ),
    inference(variable_rename,[status(thm)],[c_0_672]) ).

fof(c_0_1077,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Ofield(X10)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X9,X10),X9,X10) = c_HOL_Oone__class_Oone(X10)
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_673]) ).

fof(c_0_1078,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Odivision__ring(X10)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X9,X10),X9,X10) = c_HOL_Oone__class_Oone(X10)
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_674]) ).

fof(c_0_1079,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Odivision__ring(X10)
      | c_HOL_Otimes__class_Otimes(X9,c_HOL_Oinverse__class_Oinverse(X9,X10),X10) = c_HOL_Oone__class_Oone(X10)
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_675]) ).

fof(c_0_1080,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Odivision__ring(X10)
      | ~ class_Ring__and__Field_Odivision__by__zero(X10)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X9,X10),X10) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X9,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_676]) ).

fof(c_0_1081,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__field(X10)
      | ~ class_Ring__and__Field_Odivision__by__zero(X10)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X9,X10),X10) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X9,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_677]) ).

fof(c_0_1082,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Oordered__field(X10)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X9,X10),X10) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X9,X10),X10)
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_678]) ).

fof(c_0_1083,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Odivision__ring(X10)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X9,X10),X10) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X9,X10),X10)
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_679]) ).

fof(c_0_1084,plain,
    ! [X11,X12] :
      ( ~ class_OrderedGroup_Ogroup__add(X12)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X11,X12),X11,X12) = c_HOL_Ozero__class_Ozero(X12) ),
    inference(variable_rename,[status(thm)],[c_0_680]) ).

fof(c_0_1085,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Oab__group__add(X10)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X9,X10),X9,X10) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_681]) ).

fof(c_0_1086,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Ogroup__add(X10)
      | c_HOL_Oplus__class_Oplus(X9,c_HOL_Ouminus__class_Ouminus(X9,X10),X10) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_682]) ).

fof(c_0_1087,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Ogroup__add(X10)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X9,X10),X9,X10) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_683]) ).

fof(c_0_1088,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_684]) ).

fof(c_0_1089,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Ofield(X10)
      | c_HOL_Oinverse__class_Oinverse(X9,X10) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X10),X9,X10)
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_685]) ).

fof(c_0_1090,plain,
    ! [X6] :
      ( ~ class_Ring__and__Field_Ofield(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_686]) ).

fof(c_0_1091,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Ogroup__add(X10)
      | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X10),X9,X10) = c_HOL_Ouminus__class_Ouminus(X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_687]) ).

fof(c_0_1092,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Ofield(X10)
      | c_HOL_Oinverse__class_Oinverse(X9,X10) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X10),X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_688]) ).

fof(c_0_1093,plain,
    ! [X11,X12] :
      ( ~ class_Ring__and__Field_Ofield(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_HOL_Oinverse__class_Odivide(X11,c_HOL_Ozero__class_Ozero(X12),X12) = c_HOL_Ozero__class_Ozero(X12) ),
    inference(variable_rename,[status(thm)],[c_0_689]) ).

fof(c_0_1094,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Ofield(X10)
      | ~ class_Ring__and__Field_Odivision__by__zero(X10)
      | c_HOL_Oinverse__class_Odivide(X9,c_HOL_Ozero__class_Ozero(X10),X10) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_690]) ).

fof(c_0_1095,plain,
    ! [X11,X12] :
      ( ~ class_Ring__and__Field_Ofield(X12)
      | ~ class_Ring__and__Field_Odivision__by__zero(X12)
      | c_HOL_Ozero__class_Ozero(X12) = c_HOL_Oinverse__class_Odivide(X11,c_HOL_Ozero__class_Ozero(X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_691]) ).

fof(c_0_1096,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Ofield(X10)
      | ~ class_Ring__and__Field_Odivision__by__zero(X10)
      | c_HOL_Oinverse__class_Odivide(X9,X9,X10) = c_HOL_Oone__class_Oone(X10)
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_692]) ).

fof(c_0_1097,plain,
    ! [X6] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_693]) ).

fof(c_0_1098,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_694]) ).

fof(c_0_1099,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_695]) ).

fof(c_0_1100,plain,
    ! [X9,X10] :
      ( ~ class_Divides_Osemiring__div(X10)
      | c_Divides_Odiv__class_Odiv(X9,c_HOL_Ozero__class_Ozero(X10),X10) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_696]) ).

fof(c_0_1101,plain,
    ! [X9,X10] :
      ( ~ class_Divides_Osemiring__div(X10)
      | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X10),X9,X10) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_697]) ).

fof(c_0_1102,plain,
    ! [X9,X10] :
      ( ~ class_Divides_Osemiring__div(X10)
      | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X10),X9,X10) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_698]) ).

fof(c_0_1103,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Ofield(X10)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X10),X9,X10) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_699]) ).

fof(c_0_1104,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__normed__field(X7)
      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X7),X6,X7) = c_HOL_Ozero__class_Ozero(X7) ),
    inference(variable_rename,[status(thm)],[c_0_700]) ).

fof(c_0_1105,plain,
    ! [X6,X7] :
      ( ~ class_OrderedGroup_Omonoid__mult(X7)
      | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X7),X6,X7) = c_HOL_Oone__class_Oone(X7) ),
    inference(variable_rename,[status(thm)],[c_0_701]) ).

fof(c_0_1106,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X10)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X10),X9,X10) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_702]) ).

fof(c_0_1107,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X10)
      | c_HOL_Otimes__class_Otimes(X9,c_HOL_Ozero__class_Ozero(X10),X10) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_703]) ).

fof(c_0_1108,plain,
    ! [X6,X7] :
      ( ~ class_RealVector_Oreal__normed__algebra(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_704]) ).

fof(c_0_1109,plain,
    ! [X11,X12] :
      ( ~ class_RealVector_Oreal__normed__algebra(X12)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X12),X11,X12) = c_HOL_Ozero__class_Ozero(X12) ),
    inference(variable_rename,[status(thm)],[c_0_705]) ).

fof(c_0_1110,plain,
    ! [X9,X10] :
      ( ~ class_RealVector_Oreal__normed__algebra(X10)
      | c_HOL_Otimes__class_Otimes(X9,c_HOL_Ozero__class_Ozero(X10),X10) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_706]) ).

fof(c_0_1111,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_707]) ).

fof(c_0_1112,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_708]) ).

fof(c_0_1113,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Omult__zero(X10)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X10),X9,X10) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_709]) ).

fof(c_0_1114,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Omult__zero(X10)
      | c_HOL_Otimes__class_Otimes(X9,c_HOL_Ozero__class_Ozero(X10),X10) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_710]) ).

fof(c_0_1115,plain,
    ! [X11,X12] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X12)
      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X12),X11,X12) = c_HOL_Ozero__class_Ozero(X12) ),
    inference(variable_rename,[status(thm)],[c_0_711]) ).

fof(c_0_1116,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X10)
      | c_HOL_Otimes__class_Otimes(X9,c_HOL_Ozero__class_Ozero(X10),X10) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_712]) ).

fof(c_0_1117,plain,
    ! [X9,X10] :
      ( ~ class_Divides_Osemiring__div(X10)
      | c_Divides_Odiv__class_Omod(X9,c_HOL_Oone__class_Oone(X10),X10) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_713]) ).

fof(c_0_1118,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_714]) ).

fof(c_0_1119,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Ofield(X10)
      | c_HOL_Oinverse__class_Odivide(X9,X9,X10) = c_HOL_Oone__class_Oone(X10)
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_715]) ).

fof(c_0_1120,plain,
    ! [X9,X10] :
      ( ~ class_Divides_Osemiring__div(X10)
      | c_Divides_Odiv__class_Odiv(X9,X9,X10) = c_HOL_Oone__class_Oone(X10)
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_716]) ).

fof(c_0_1121,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Ogroup__add(X10)
      | c_HOL_Ominus__class_Ominus(X9,c_HOL_Ozero__class_Ozero(X10),X10) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_717]) ).

fof(c_0_1122,plain,
    ! [X8,X9] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X9)
      | c_Polynomial_Osmult(c_HOL_Oone__class_Oone(X9),X8,X9) = X8 ),
    inference(variable_rename,[status(thm)],[c_0_718]) ).

fof(c_0_1123,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Ofield(X10)
      | c_HOL_Oinverse__class_Odivide(X9,c_HOL_Oone__class_Oone(X10),X10) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_719]) ).

fof(c_0_1124,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Omonoid__mult(X10)
      | c_HOL_Otimes__class_Otimes(X9,c_HOL_Oone__class_Oone(X10),X10) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_720]) ).

fof(c_0_1125,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Omonoid__mult(X10)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X10),X9,X10) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_721]) ).

fof(c_0_1126,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X10)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X10),X9,X10) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_722]) ).

fof(c_0_1127,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_723]) ).

fof(c_0_1128,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X10)
      | c_HOL_Otimes__class_Otimes(X9,c_HOL_Oone__class_Oone(X10),X10) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_724]) ).

fof(c_0_1129,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X10)
      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X10),X9,X10) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_725]) ).

fof(c_0_1130,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Omonoid__add(X10)
      | c_HOL_Oplus__class_Oplus(X9,c_HOL_Ozero__class_Ozero(X10),X10) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_726]) ).

fof(c_0_1131,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Omonoid__add(X10)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X10),X9,X10) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_727]) ).

fof(c_0_1132,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X10)
      | c_HOL_Oplus__class_Oplus(X9,c_HOL_Ozero__class_Ozero(X10),X10) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_728]) ).

fof(c_0_1133,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_729]) ).

fof(c_0_1134,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Ocomm__monoid__add(X10)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X10),X9,X10) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_730]) ).

fof(c_0_1135,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X10)
      | c_HOL_Oplus__class_Oplus(X9,c_HOL_Ozero__class_Ozero(X10),X10) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_731]) ).

fof(c_0_1136,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X10)
      | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X10),X9,X10) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_732]) ).

fof(c_0_1137,plain,
    ! [X9,X10] :
      ( ~ class_Divides_Osemiring__div(X10)
      | c_Divides_Odiv__class_Odiv(X9,c_HOL_Oone__class_Oone(X10),X10) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_733]) ).

fof(c_0_1138,plain,
    ! [X9,X10] :
      ( ~ class_Divides_Osemiring__div(X10)
      | c_Divides_Odiv__class_Omod(X9,c_HOL_Ozero__class_Ozero(X10),X10) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_734]) ).

fof(c_0_1139,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X10)
      | c_Ring__and__Field_Odvd__class_Odvd(X9,c_HOL_Ozero__class_Ozero(X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_735]) ).

fof(c_0_1140,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X10)
      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X10),X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_736]) ).

fof(c_0_1141,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_737]) ).

fof(c_0_1142,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_738]) ).

fof(c_0_1143,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Ogroup__add(X10)
      | c_HOL_Ominus__class_Ominus(X9,X9,X10) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_739]) ).

fof(c_0_1144,plain,
    ! [X9,X10] :
      ( ~ class_Divides_Osemiring__div(X10)
      | c_Divides_Odiv__class_Omod(X9,X9,X10) = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_740]) ).

fof(c_0_1145,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Odivision__ring(X13)
      | c_HOL_Oinverse__class_Oinverse(X12,X13) != c_HOL_Oinverse__class_Oinverse(X11,X13)
      | X12 = X11
      | X11 = c_HOL_Ozero__class_Ozero(X13)
      | X12 = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_741]) ).

fof(c_0_1146,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_742]) ).

fof(c_0_1147,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X10)
      | c_Ring__and__Field_Odvd__class_Odvd(X9,X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_743]) ).

fof(c_0_1148,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X10)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X9,X10),X10) = c_HOL_Oabs__class_Oabs(X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_744]) ).

fof(c_0_1149,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X10)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X9,X10),X10) = c_HOL_Oabs__class_Oabs(X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_745]) ).

fof(c_0_1150,plain,
    ! [X11,X12,X13] :
      ( ~ class_Ring__and__Field_Odivision__ring(X13)
      | ~ class_Ring__and__Field_Odivision__by__zero(X13)
      | c_HOL_Oinverse__class_Oinverse(X12,X13) != c_HOL_Oinverse__class_Oinverse(X11,X13)
      | X12 = X11 ),
    inference(variable_rename,[status(thm)],[c_0_746]) ).

fof(c_0_1151,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Odivision__ring(X10)
      | ~ class_Ring__and__Field_Odivision__by__zero(X10)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X9,X10),X10) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_747]) ).

fof(c_0_1152,plain,
    ! [X11,X12,X13] :
      ( ~ class_OrderedGroup_Ogroup__add(X13)
      | c_HOL_Ouminus__class_Ouminus(X12,X13) != c_HOL_Ouminus__class_Ouminus(X11,X13)
      | X12 = X11 ),
    inference(variable_rename,[status(thm)],[c_0_748]) ).

fof(c_0_1153,plain,
    ! [X6,X7,X8] :
      ( ~ class_Lattices_Oboolean__algebra(X8)
      | c_HOL_Ouminus__class_Ouminus(X7,X8) != c_HOL_Ouminus__class_Ouminus(X6,X8)
      | X7 = X6 ),
    inference(variable_rename,[status(thm)],[c_0_749]) ).

fof(c_0_1154,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Odivision__ring(X10)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X9,X10),X10) = X9
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_750]) ).

fof(c_0_1155,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_751]) ).

fof(c_0_1156,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Odivision__ring(X10)
      | ~ class_Ring__and__Field_Odivision__by__zero(X10)
      | c_HOL_Oinverse__class_Oinverse(X9,X10) != c_HOL_Ozero__class_Ozero(X10)
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_752]) ).

fof(c_0_1157,plain,
    ! [X11,X12] :
      ( ~ class_OrderedGroup_Ogroup__add(X12)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X11,X12),X12) = X11 ),
    inference(variable_rename,[status(thm)],[c_0_753]) ).

fof(c_0_1158,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Ogroup__add(X10)
      | X9 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X9,X10),X10) ),
    inference(variable_rename,[status(thm)],[c_0_754]) ).

fof(c_0_1159,plain,
    ! [X11,X12] :
      ( ~ class_OrderedGroup_Ogroup__add(X12)
      | X11 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X11,X12),X12) ),
    inference(variable_rename,[status(thm)],[c_0_755]) ).

fof(c_0_1160,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_756]) ).

fof(c_0_1161,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Ogroup__add(X10)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X9,X10),X10) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_757]) ).

fof(c_0_1162,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Ogroup__add(X10)
      | c_HOL_Ouminus__class_Ouminus(X9,X10) != c_HOL_Ozero__class_Ozero(X10)
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_758]) ).

fof(c_0_1163,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Ogroup__add(X10)
      | c_HOL_Ozero__class_Ozero(X10) != c_HOL_Ouminus__class_Ouminus(X9,X10)
      | c_HOL_Ozero__class_Ozero(X10) = X9 ),
    inference(variable_rename,[status(thm)],[c_0_759]) ).

fof(c_0_1164,plain,
    ! [X9,X10] :
      ( ~ class_Ring__and__Field_Odivision__ring(X10)
      | c_HOL_Oinverse__class_Oinverse(X9,X10) != c_HOL_Ozero__class_Ozero(X10)
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_760]) ).

fof(c_0_1165,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X10)
      | c_HOL_Oabs__class_Oabs(X9,X10) != c_HOL_Ozero__class_Ozero(X10)
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_761]) ).

fof(c_0_1166,plain,
    ! [X6] :
      ( ~ class_Ring__and__Field_Odivision__ring(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_762]) ).

fof(c_0_1167,plain,
    ! [X6] :
      ( ~ class_Ring__and__Field_Ofield(X6)
      | ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X6),X6) = c_HOL_Oone__class_Oone(X6) ),
    inference(variable_rename,[status(thm)],[c_0_763]) ).

fof(c_0_1168,plain,
    ! [X9,X10] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X10)
      | c_HOL_Ouminus__class_Ouminus(X9,X10) != X9
      | X9 = c_HOL_Ozero__class_Ozero(X10) ),
    inference(variable_rename,[status(thm)],[c_0_764]) ).

fof(c_0_1169,plain,
    ! [X6] :
      ( ~ class_Ring__and__Field_Odivision__by__zero(X6)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_765]) ).

fof(c_0_1170,plain,
    ! [X6] :
      ( ~ class_Ring__and__Field_Oordered__idom(X6)
      | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X6),X6) = c_HOL_Oone__class_Oone(X6) ),
    inference(variable_rename,[status(thm)],[c_0_766]) ).

fof(c_0_1171,plain,
    ! [X6] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
      | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_767]) ).

fof(c_0_1172,plain,
    ! [X6] :
      ( ~ class_Ring__and__Field_Odivision__ring(X6)
      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X6),X6) = c_HOL_Oone__class_Oone(X6) ),
    inference(variable_rename,[status(thm)],[c_0_768]) ).

fof(c_0_1173,plain,
    ! [X6] :
      ( ~ class_OrderedGroup_Ogroup__add(X6)
      | c_HOL_Ozero__class_Ozero(X6) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X6),X6) ),
    inference(variable_rename,[status(thm)],[c_0_769]) ).

fof(c_0_1174,plain,
    ! [X6] :
      ( ~ class_OrderedGroup_Ogroup__add(X6)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_770]) ).

fof(c_0_1175,plain,
    ! [X6] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X6)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_771]) ).

fof(c_0_1176,plain,
    ! [X6] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X6)
      | c_HOL_Oone__class_Oone(X6) != c_HOL_Ozero__class_Ozero(X6) ),
    inference(variable_rename,[status(thm)],[c_0_772]) ).

fof(c_0_1177,plain,
    ! [X6] :
      ( ~ class_Ring__and__Field_Ozero__neq__one(X6)
      | c_HOL_Ozero__class_Ozero(X6) != c_HOL_Oone__class_Oone(X6) ),
    inference(variable_rename,[status(thm)],[c_0_773]) ).

fof(c_0_1178,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_774]) ).

fof(c_0_1179,plain,
    ! [X2] :
      ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_775]) ).

fof(c_0_1180,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_776]) ).

fof(c_0_1181,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_777]) ).

fof(c_0_1182,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_778]) ).

fof(c_0_1183,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_779]) ).

fof(c_0_1184,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_780]) ).

fof(c_0_1185,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_781]) ).

fof(c_0_1186,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_782]) ).

fof(c_0_1187,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_783]) ).

fof(c_0_1188,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_784]) ).

fof(c_0_1189,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_785]) ).

fof(c_0_1190,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_786]) ).

fof(c_0_1191,plain,
    ! [X2] :
      ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X2))
      | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    inference(variable_rename,[status(thm)],[c_0_787]) ).

fof(c_0_1192,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_788]) ).

fof(c_0_1193,plain,
    ! [X2] :
      ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X2))
      | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    inference(variable_rename,[status(thm)],[c_0_789]) ).

fof(c_0_1194,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_790]) ).

fof(c_0_1195,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_791]) ).

fof(c_0_1196,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_792]) ).

fof(c_0_1197,plain,
    ! [X2] :
      ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X2))
      | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(variable_rename,[status(thm)],[c_0_793]) ).

fof(c_0_1198,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_794]) ).

fof(c_0_1199,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_795]) ).

fof(c_0_1200,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_796]) ).

fof(c_0_1201,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_797]) ).

fof(c_0_1202,plain,
    ! [X2] :
      ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X2))
      | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    inference(variable_rename,[status(thm)],[c_0_798]) ).

fof(c_0_1203,plain,
    ! [X2] :
      ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X2))
      | ~ class_OrderedGroup_Oab__group__add(X2) ),
    inference(variable_rename,[status(thm)],[c_0_799]) ).

fof(c_0_1204,plain,
    ! [X2] :
      ( class_Ring__and__Field_Oring__1(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
    inference(variable_rename,[status(thm)],[c_0_800]) ).

fof(c_0_1205,plain,
    ! [X2] :
      ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(variable_rename,[status(thm)],[c_0_801]) ).

fof(c_0_1206,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_802]) ).

fof(c_0_1207,plain,
    ! [X2] :
      ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Oidom(X2) ),
    inference(variable_rename,[status(thm)],[c_0_803]) ).

fof(c_0_1208,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_804]) ).

fof(c_0_1209,plain,
    ! [X2] :
      ( class_Divides_Oring__div(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(variable_rename,[status(thm)],[c_0_805]) ).

fof(c_0_1210,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_806]) ).

fof(c_0_1211,plain,
    ! [X2] :
      ( class_Power_Opower(tc_Polynomial_Opoly(X2))
      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(variable_rename,[status(thm)],[c_0_807]) ).

cnf(c_0_1212,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_808]) ).

cnf(c_0_1213,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_809]) ).

cnf(c_0_1214,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_810]) ).

cnf(c_0_1215,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_811]) ).

cnf(c_0_1216,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_812]) ).

cnf(c_0_1217,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_813]) ).

cnf(c_0_1218,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_814]) ).

cnf(c_0_1219,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_815]) ).

cnf(c_0_1220,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3),X4,X3) = c_HOL_Oplus__class_Oplus(X2,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_816]) ).

cnf(c_0_1221,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_817]) ).

cnf(c_0_1222,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_818]) ).

cnf(c_0_1223,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_819]) ).

cnf(c_0_1224,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_820]) ).

cnf(c_0_1225,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_821]) ).

cnf(c_0_1226,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_822]) ).

cnf(c_0_1227,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_823]) ).

cnf(c_0_1228,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_824]) ).

cnf(c_0_1229,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_825]) ).

cnf(c_0_1230,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_826]) ).

cnf(c_0_1231,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_827]) ).

cnf(c_0_1232,plain,
    ( c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_Divides_Odiv__class_Odiv(X5,X4,X3),X3) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X5,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X5,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_828]) ).

cnf(c_0_1233,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_829]) ).

cnf(c_0_1234,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_830]) ).

cnf(c_0_1235,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_831]) ).

cnf(c_0_1236,plain,
    ( 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)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_Divides_Odiv__class_Odiv(X4,X1,X3),X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_832]) ).

cnf(c_0_1237,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_833]) ).

cnf(c_0_1238,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_834]) ).

cnf(c_0_1239,plain,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,X4,X3),X1,X3) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_Divides_Odiv__class_Odiv(X4,X1,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_835]) ).

cnf(c_0_1240,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_836]) ).

cnf(c_0_1241,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_837]) ).

cnf(c_0_1242,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_838]) ).

cnf(c_0_1243,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_839]) ).

cnf(c_0_1244,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_840]) ).

cnf(c_0_1245,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_841]) ).

cnf(c_0_1246,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_842]) ).

cnf(c_0_1247,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_843]) ).

cnf(c_0_1248,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X4,c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_844]) ).

cnf(c_0_1249,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X4,c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_845]) ).

cnf(c_0_1250,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_846]) ).

cnf(c_0_1251,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_847]) ).

cnf(c_0_1252,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_848]) ).

cnf(c_0_1253,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_849]) ).

cnf(c_0_1254,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_850]) ).

cnf(c_0_1255,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_851]) ).

cnf(c_0_1256,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_852]) ).

cnf(c_0_1257,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_853]) ).

cnf(c_0_1258,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_854]) ).

cnf(c_0_1259,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_855]) ).

cnf(c_0_1260,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_856]) ).

cnf(c_0_1261,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_857]) ).

cnf(c_0_1262,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_Divides_Odiv__class_Odiv(X4,X1,X3),X3)
    | ~ 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_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_858]) ).

cnf(c_0_1263,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_859]) ).

cnf(c_0_1264,plain,
    ( c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X2,X1,X3),X4,X3) = c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X2,X4,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_860]) ).

cnf(c_0_1265,plain,
    ( X1 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),c_Divides_Odiv__class_Omod(X1,X2,X3),X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_861]) ).

cnf(c_0_1266,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),c_Divides_Odiv__class_Omod(X1,X2,X3),X3) = X1
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_862]) ).

cnf(c_0_1267,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3) = X2
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_863]) ).

cnf(c_0_1268,plain,
    ( c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),X3) = X1
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_864]) ).

cnf(c_0_1269,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_865]) ).

cnf(c_0_1270,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_866]) ).

cnf(c_0_1271,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_867]) ).

cnf(c_0_1272,plain,
    ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_868]) ).

cnf(c_0_1273,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X4,X2) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X3,X4,X2),c_Power_Opower__class_Opower(X1,X4,X2),X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_869]) ).

cnf(c_0_1274,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_870]) ).

cnf(c_0_1275,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_871]) ).

cnf(c_0_1276,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_872]) ).

cnf(c_0_1277,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_873]) ).

cnf(c_0_1278,plain,
    ( c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_874]) ).

cnf(c_0_1279,plain,
    ( c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_875]) ).

cnf(c_0_1280,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_876]) ).

cnf(c_0_1281,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_877]) ).

cnf(c_0_1282,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_878]) ).

cnf(c_0_1283,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_879]) ).

cnf(c_0_1284,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_880]) ).

cnf(c_0_1285,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_881]) ).

cnf(c_0_1286,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_882]) ).

cnf(c_0_1287,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_883]) ).

cnf(c_0_1288,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_884]) ).

cnf(c_0_1289,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_885]) ).

cnf(c_0_1290,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_886]) ).

cnf(c_0_1291,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_887]) ).

cnf(c_0_1292,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_888]) ).

cnf(c_0_1293,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_889]) ).

cnf(c_0_1294,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_890]) ).

cnf(c_0_1295,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_891]) ).

cnf(c_0_1296,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_892]) ).

cnf(c_0_1297,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_893]) ).

cnf(c_0_1298,plain,
    ( c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2),X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Oring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_894]) ).

cnf(c_0_1299,plain,
    ( c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X3),X4,X3) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X4,X3),X1,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_895]) ).

cnf(c_0_1300,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_896]) ).

cnf(c_0_1301,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_897]) ).

cnf(c_0_1302,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_898]) ).

cnf(c_0_1303,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_899]) ).

cnf(c_0_1304,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X4,X3),tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_900]) ).

cnf(c_0_1305,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X4,X3),tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_901]) ).

cnf(c_0_1306,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_902]) ).

cnf(c_0_1307,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_903]) ).

cnf(c_0_1308,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(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_904]) ).

cnf(c_0_1309,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_905]) ).

cnf(c_0_1310,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_906]) ).

cnf(c_0_1311,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_907]) ).

cnf(c_0_1312,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_908]) ).

cnf(c_0_1313,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_909]) ).

cnf(c_0_1314,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_910]) ).

cnf(c_0_1315,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_911]) ).

cnf(c_0_1316,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_912]) ).

cnf(c_0_1317,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_913]) ).

cnf(c_0_1318,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X3,X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_914]) ).

cnf(c_0_1319,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X1,X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_915]) ).

cnf(c_0_1320,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_916]) ).

cnf(c_0_1321,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_917]) ).

cnf(c_0_1322,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X2,X3),X4,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_918]) ).

cnf(c_0_1323,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Polynomial_Opoly(X2))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,c_Polynomial_Osmult(X1,X4,X2),tc_Polynomial_Opoly(X2))
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_919]) ).

cnf(c_0_1324,plain,
    ( X2 = c_HOL_Ozero__class_Ozero(X4)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X4))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X2,X3,X4),tc_Polynomial_Opoly(X4))
    | ~ class_Ring__and__Field_Ofield(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_920]) ).

cnf(c_0_1325,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_921]) ).

cnf(c_0_1326,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2) = c_Divides_Odiv__class_Odiv(X3,X4,X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_922]) ).

cnf(c_0_1327,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2) = c_Divides_Odiv__class_Odiv(X3,X4,X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_923]) ).

cnf(c_0_1328,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X4))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X3,X4),tc_Polynomial_Opoly(X4))
    | ~ class_Ring__and__Field_Ofield(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_924]) ).

cnf(c_0_1329,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X4))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X3,X4),tc_Polynomial_Opoly(X4))
    | ~ class_Ring__and__Field_Ofield(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_925]) ).

cnf(c_0_1330,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X2,X3),X4,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_926]) ).

cnf(c_0_1331,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_927]) ).

cnf(c_0_1332,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_928]) ).

cnf(c_0_1333,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_929]) ).

cnf(c_0_1334,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_930]) ).

cnf(c_0_1335,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_931]) ).

cnf(c_0_1336,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_932]) ).

cnf(c_0_1337,plain,
    ( c_Polynomial_Opoly__gcd(X1,c_Polynomial_Opoly__gcd(X2,X3,X4),X4) = c_Polynomial_Opoly__gcd(X2,c_Polynomial_Opoly__gcd(X1,X3,X4),X4)
    | ~ class_Ring__and__Field_Ofield(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_933]) ).

cnf(c_0_1338,plain,
    ( c_Polynomial_Opoly__gcd(c_Polynomial_Opoly__gcd(X1,X2,X3),X4,X3) = c_Polynomial_Opoly__gcd(X1,c_Polynomial_Opoly__gcd(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_934]) ).

cnf(c_0_1339,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_935]) ).

cnf(c_0_1340,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_936]) ).

cnf(c_0_1341,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_937]) ).

cnf(c_0_1342,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_938]) ).

cnf(c_0_1343,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_939]) ).

cnf(c_0_1344,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_940]) ).

cnf(c_0_1345,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_941]) ).

cnf(c_0_1346,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_942]) ).

cnf(c_0_1347,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_943]) ).

cnf(c_0_1348,plain,
    ( c_Polynomial_Osmult(X1,c_Polynomial_Osmult(X2,X3,X4),X4) = c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_944]) ).

cnf(c_0_1349,plain,
    ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),X1,X3) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Omonoid__mult(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_945]) ).

cnf(c_0_1350,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_946]) ).

cnf(c_0_1351,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_947]) ).

cnf(c_0_1352,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_948]) ).

cnf(c_0_1353,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_949]) ).

cnf(c_0_1354,plain,
    ( c_Divides_Odiv__class_Odiv(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) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_950]) ).

cnf(c_0_1355,plain,
    ( c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_951]) ).

cnf(c_0_1356,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_952]) ).

cnf(c_0_1357,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_953]) ).

cnf(c_0_1358,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_954]) ).

cnf(c_0_1359,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_955]) ).

cnf(c_0_1360,plain,
    ( c_Divides_Odiv__class_Odiv(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X1,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Divides_Oring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_956]) ).

cnf(c_0_1361,plain,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X1,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Divides_Oring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_957]) ).

cnf(c_0_1362,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_958]) ).

cnf(c_0_1363,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X3,X2),X4,tc_Polynomial_Opoly(X2))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Polynomial_Opoly(X2))
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_959]) ).

cnf(c_0_1364,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Ring__and__Field_Odvd__class_Odvd(X3,c_Polynomial_Osmult(X1,X4,X2),tc_Polynomial_Opoly(X2))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Polynomial_Opoly(X2))
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_960]) ).

cnf(c_0_1365,plain,
    ( X4 = c_HOL_Ozero__class_Ozero(X3)
    | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X4,X1,X3),X2,tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_961]) ).

cnf(c_0_1366,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X4,X2,X3),tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_962]) ).

cnf(c_0_1367,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3) = X2
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_963]) ).

cnf(c_0_1368,plain,
    ( c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X3),X1,X3) = X2
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_964]) ).

cnf(c_0_1369,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_965]) ).

cnf(c_0_1370,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_966]) ).

cnf(c_0_1371,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X3,X2,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(split_conjunct,[status(thm)],[c_0_967]) ).

cnf(c_0_1372,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_968]) ).

cnf(c_0_1373,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_969]) ).

cnf(c_0_1374,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_970]) ).

cnf(c_0_1375,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_971]) ).

cnf(c_0_1376,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_972]) ).

cnf(c_0_1377,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_973]) ).

cnf(c_0_1378,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_974]) ).

cnf(c_0_1379,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_975]) ).

cnf(c_0_1380,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_976]) ).

cnf(c_0_1381,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_977]) ).

cnf(c_0_1382,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_978]) ).

cnf(c_0_1383,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_979]) ).

cnf(c_0_1384,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_980]) ).

cnf(c_0_1385,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_981]) ).

cnf(c_0_1386,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_982]) ).

cnf(c_0_1387,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_983]) ).

cnf(c_0_1388,plain,
    ( c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X3),X3) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X3),X2,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Odivision__ring(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_984]) ).

cnf(c_0_1389,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_985]) ).

cnf(c_0_1390,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_986]) ).

cnf(c_0_1391,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X3,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_987]) ).

cnf(c_0_1392,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_988]) ).

cnf(c_0_1393,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_989]) ).

cnf(c_0_1394,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_990]) ).

cnf(c_0_1395,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_991]) ).

cnf(c_0_1396,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_992]) ).

cnf(c_0_1397,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_993]) ).

cnf(c_0_1398,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_994]) ).

cnf(c_0_1399,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_995]) ).

cnf(c_0_1400,plain,
    ( c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X3),X3) = c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_996]) ).

cnf(c_0_1401,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_997]) ).

cnf(c_0_1402,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_998]) ).

cnf(c_0_1403,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_999]) ).

cnf(c_0_1404,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_1000]) ).

cnf(c_0_1405,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_1001]) ).

cnf(c_0_1406,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_1002]) ).

cnf(c_0_1407,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_1003]) ).

cnf(c_0_1408,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_1004]) ).

cnf(c_0_1409,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_1005]) ).

cnf(c_0_1410,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_1006]) ).

cnf(c_0_1411,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_1007]) ).

cnf(c_0_1412,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1008]) ).

cnf(c_0_1413,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_1009]) ).

cnf(c_0_1414,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_1010]) ).

cnf(c_0_1415,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_1011]) ).

cnf(c_0_1416,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_1012]) ).

cnf(c_0_1417,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_1013]) ).

cnf(c_0_1418,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_1014]) ).

cnf(c_0_1419,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_1015]) ).

cnf(c_0_1420,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_1016]) ).

cnf(c_0_1421,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_1017]) ).

cnf(c_0_1422,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_1018]) ).

cnf(c_0_1423,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_1019]) ).

cnf(c_0_1424,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_1020]) ).

cnf(c_0_1425,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_1021]) ).

cnf(c_0_1426,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1022]) ).

cnf(c_0_1427,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X2),X1,X2) = X3
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1023]) ).

cnf(c_0_1428,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X1,X2,X3),X1,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1024]) ).

cnf(c_0_1429,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X1,X2,X3),X2,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1025]) ).

cnf(c_0_1430,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_1026]) ).

cnf(c_0_1431,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_1027]) ).

cnf(c_0_1432,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_1028]) ).

cnf(c_0_1433,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_1029]) ).

cnf(c_0_1434,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_1030]) ).

cnf(c_0_1435,plain,
    ( c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1031]) ).

cnf(c_0_1436,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_1032]) ).

cnf(c_0_1437,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_1033]) ).

cnf(c_0_1438,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_1034]) ).

cnf(c_0_1439,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_1035]) ).

cnf(c_0_1440,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_1036]) ).

cnf(c_0_1441,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_1037]) ).

cnf(c_0_1442,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_1038]) ).

cnf(c_0_1443,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_1039]) ).

cnf(c_0_1444,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_1040]) ).

cnf(c_0_1445,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_1041]) ).

cnf(c_0_1446,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_1042]) ).

cnf(c_0_1447,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_1043]) ).

cnf(c_0_1448,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_1044]) ).

cnf(c_0_1449,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_1045]) ).

cnf(c_0_1450,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_1046]) ).

cnf(c_0_1451,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_1047]) ).

cnf(c_0_1452,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_1048]) ).

cnf(c_0_1453,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_1049]) ).

cnf(c_0_1454,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_1050]) ).

cnf(c_0_1455,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_1051]) ).

cnf(c_0_1456,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(split_conjunct,[status(thm)],[c_0_1052]) ).

cnf(c_0_1457,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(split_conjunct,[status(thm)],[c_0_1053]) ).

cnf(c_0_1458,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1054]) ).

cnf(c_0_1459,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_1055]) ).

cnf(c_0_1460,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_1056]) ).

cnf(c_0_1461,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_1057]) ).

cnf(c_0_1462,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_1058]) ).

cnf(c_0_1463,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_1059]) ).

cnf(c_0_1464,plain,
    ( c_Polynomial_Opoly__gcd(X1,X2,X3) = c_Polynomial_Opoly__gcd(X2,X1,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1060]) ).

cnf(c_0_1465,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_1061]) ).

cnf(c_0_1466,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_1062]) ).

cnf(c_0_1467,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_1063]) ).

cnf(c_0_1468,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_1064]) ).

cnf(c_0_1469,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_1065]) ).

cnf(c_0_1470,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_1066]) ).

cnf(c_0_1471,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_1067]) ).

cnf(c_0_1472,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_1068]) ).

cnf(c_0_1473,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_1069]) ).

cnf(c_0_1474,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_1070]) ).

cnf(c_0_1475,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_1071]) ).

cnf(c_0_1476,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_1072]) ).

cnf(c_0_1477,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_1073]) ).

cnf(c_0_1478,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1074]) ).

cnf(c_0_1479,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_1075]) ).

cnf(c_0_1480,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_1076]) ).

cnf(c_0_1481,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_1077]) ).

cnf(c_0_1482,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_1078]) ).

cnf(c_0_1483,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_1079]) ).

cnf(c_0_1484,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_1080]) ).

cnf(c_0_1485,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_1081]) ).

cnf(c_0_1486,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_1082]) ).

cnf(c_0_1487,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_1083]) ).

cnf(c_0_1488,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_1084]) ).

cnf(c_0_1489,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_1085]) ).

cnf(c_0_1490,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_1086]) ).

cnf(c_0_1491,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_1087]) ).

cnf(c_0_1492,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_1088]) ).

cnf(c_0_1493,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_1089]) ).

cnf(c_0_1494,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_1090]) ).

cnf(c_0_1495,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_1091]) ).

cnf(c_0_1496,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_1092]) ).

cnf(c_0_1497,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_1093]) ).

cnf(c_0_1498,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_1094]) ).

cnf(c_0_1499,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_1095]) ).

cnf(c_0_1500,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_1096]) ).

cnf(c_0_1501,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_1097]) ).

cnf(c_0_1502,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_1098]) ).

cnf(c_0_1503,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_1099]) ).

cnf(c_0_1504,plain,
    ( c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1100]) ).

cnf(c_0_1505,plain,
    ( c_Divides_Odiv__class_Odiv(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_1101]) ).

cnf(c_0_1506,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_1102]) ).

cnf(c_0_1507,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_1103]) ).

cnf(c_0_1508,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_1104]) ).

cnf(c_0_1509,plain,
    ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1105]) ).

cnf(c_0_1510,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_1106]) ).

cnf(c_0_1511,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_1107]) ).

cnf(c_0_1512,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_1108]) ).

cnf(c_0_1513,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_1109]) ).

cnf(c_0_1514,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_1110]) ).

cnf(c_0_1515,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_1111]) ).

cnf(c_0_1516,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_1112]) ).

cnf(c_0_1517,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_1113]) ).

cnf(c_0_1518,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_1114]) ).

cnf(c_0_1519,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_1115]) ).

cnf(c_0_1520,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_1116]) ).

cnf(c_0_1521,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_1117]) ).

cnf(c_0_1522,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_1118]) ).

cnf(c_0_1523,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_1119]) ).

cnf(c_0_1524,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1120]) ).

cnf(c_0_1525,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_1121]) ).

cnf(c_0_1526,plain,
    ( c_Polynomial_Osmult(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1122]) ).

cnf(c_0_1527,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_1123]) ).

cnf(c_0_1528,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_1124]) ).

cnf(c_0_1529,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_1125]) ).

cnf(c_0_1530,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_1126]) ).

cnf(c_0_1531,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_1127]) ).

cnf(c_0_1532,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_1128]) ).

cnf(c_0_1533,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_1129]) ).

cnf(c_0_1534,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_1130]) ).

cnf(c_0_1535,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_1131]) ).

cnf(c_0_1536,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_1132]) ).

cnf(c_0_1537,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_1133]) ).

cnf(c_0_1538,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_1134]) ).

cnf(c_0_1539,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_1135]) ).

cnf(c_0_1540,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_1136]) ).

cnf(c_0_1541,plain,
    ( c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1137]) ).

cnf(c_0_1542,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_1138]) ).

cnf(c_0_1543,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_1139]) ).

cnf(c_0_1544,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_1140]) ).

cnf(c_0_1545,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_1141]) ).

cnf(c_0_1546,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_1142]) ).

cnf(c_0_1547,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_1143]) ).

cnf(c_0_1548,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_1144]) ).

cnf(c_0_1549,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_1145]) ).

cnf(c_0_1550,plain,
    ( c_HOL_Otimes__class_Otimes(X1,X1,X2) = X1
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1146]) ).

cnf(c_0_1551,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_1147]) ).

cnf(c_0_1552,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_1148]) ).

cnf(c_0_1553,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_1149]) ).

cnf(c_0_1554,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_1150]) ).

cnf(c_0_1555,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_1151]) ).

cnf(c_0_1556,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_1152]) ).

cnf(c_0_1557,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_1153]) ).

cnf(c_0_1558,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_1154]) ).

cnf(c_0_1559,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_1155]) ).

cnf(c_0_1560,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_1156]) ).

cnf(c_0_1561,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_1157]) ).

cnf(c_0_1562,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_1158]) ).

cnf(c_0_1563,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_1159]) ).

cnf(c_0_1564,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_1160]) ).

cnf(c_0_1565,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_1161]) ).

cnf(c_0_1566,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_1162]) ).

cnf(c_0_1567,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_1163]) ).

cnf(c_0_1568,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_1164]) ).

cnf(c_0_1569,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_1165]) ).

cnf(c_0_1570,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_1166]) ).

cnf(c_0_1571,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_1167]) ).

cnf(c_0_1572,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_1168]) ).

cnf(c_0_1573,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_1169]) ).

cnf(c_0_1574,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_1170]) ).

cnf(c_0_1575,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_1171]) ).

cnf(c_0_1576,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_1172]) ).

cnf(c_0_1577,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_1173]) ).

cnf(c_0_1578,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_1174]) ).

cnf(c_0_1579,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_1175]) ).

cnf(c_0_1580,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_1176]) ).

cnf(c_0_1581,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_1177]) ).

cnf(c_0_1582,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_1178]) ).

cnf(c_0_1583,plain,
    ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1179]) ).

cnf(c_0_1584,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_1180]) ).

cnf(c_0_1585,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_1181]) ).

cnf(c_0_1586,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_1182]) ).

cnf(c_0_1587,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_1183]) ).

cnf(c_0_1588,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_1184]) ).

cnf(c_0_1589,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1185]) ).

cnf(c_0_1590,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_1186]) ).

cnf(c_0_1591,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_1187]) ).

cnf(c_0_1592,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_1188]) ).

cnf(c_0_1593,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_1189]) ).

cnf(c_0_1594,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_1190]) ).

cnf(c_0_1595,plain,
    ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1191]) ).

cnf(c_0_1596,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_1192]) ).

cnf(c_0_1597,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1193]) ).

cnf(c_0_1598,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_1194]) ).

cnf(c_0_1599,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_1195]) ).

cnf(c_0_1600,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_1196]) ).

cnf(c_0_1601,plain,
    ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1197]) ).

cnf(c_0_1602,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_1198]) ).

cnf(c_0_1603,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_1199]) ).

cnf(c_0_1604,plain,
    ( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1200]) ).

cnf(c_0_1605,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_1201]) ).

cnf(c_0_1606,plain,
    ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1202]) ).

cnf(c_0_1607,plain,
    ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1203]) ).

cnf(c_0_1608,plain,
    ( class_Ring__and__Field_Oring__1(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1204]) ).

cnf(c_0_1609,plain,
    ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1205]) ).

cnf(c_0_1610,plain,
    ( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1206]) ).

cnf(c_0_1611,plain,
    ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1207]) ).

cnf(c_0_1612,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_1208]) ).

cnf(c_0_1613,plain,
    ( class_Divides_Oring__div(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1209]) ).

cnf(c_0_1614,plain,
    ( class_Int_Onumber__ring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1210]) ).

cnf(c_0_1615,plain,
    ( class_Power_Opower(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1211]) ).

cnf(c_0_1616,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_1212,
    [final] ).

cnf(c_0_1617,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_1213,
    [final] ).

cnf(c_0_1618,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_1214,
    [final] ).

cnf(c_0_1619,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_1215,
    [final] ).

cnf(c_0_1620,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_1216,
    [final] ).

cnf(c_0_1621,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_1217,
    [final] ).

cnf(c_0_1622,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_1218,
    [final] ).

cnf(c_0_1623,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_1219,
    [final] ).

cnf(c_0_1624,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3),X4,X3) = c_HOL_Oplus__class_Oplus(X2,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_1220,
    [final] ).

cnf(c_0_1625,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_1221,
    [final] ).

cnf(c_0_1626,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_1222,
    [final] ).

cnf(c_0_1627,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_1223,
    [final] ).

cnf(c_0_1628,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_1224,
    [final] ).

cnf(c_0_1629,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_1225,
    [final] ).

cnf(c_0_1630,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_1226,
    [final] ).

cnf(c_0_1631,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_1227,
    [final] ).

cnf(c_0_1632,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_1228,
    [final] ).

cnf(c_0_1633,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_1229,
    [final] ).

cnf(c_0_1634,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_1230,
    [final] ).

cnf(c_0_1635,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_1231,
    [final] ).

cnf(c_0_1636,plain,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X5,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_Divides_Odiv__class_Odiv(X5,X4,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X5,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_1232,
    [final] ).

cnf(c_0_1637,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_1233,
    [final] ).

cnf(c_0_1638,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_1234,
    [final] ).

cnf(c_0_1639,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_1235,
    [final] ).

cnf(c_0_1640,plain,
    ( 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)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_Divides_Odiv__class_Odiv(X4,X1,X3),X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_1236,
    [final] ).

cnf(c_0_1641,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_1237,
    [final] ).

cnf(c_0_1642,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_1238,
    [final] ).

cnf(c_0_1643,plain,
    ( c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_Divides_Odiv__class_Odiv(X4,X1,X3),X3) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,X4,X3),X1,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_1239,
    [final] ).

cnf(c_0_1644,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_1240,
    [final] ).

cnf(c_0_1645,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_1241,
    [final] ).

cnf(c_0_1646,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_1242,
    [final] ).

cnf(c_0_1647,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_1243,
    [final] ).

cnf(c_0_1648,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_1244,
    [final] ).

cnf(c_0_1649,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_1245,
    [final] ).

cnf(c_0_1650,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_1246,
    [final] ).

cnf(c_0_1651,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_1247,
    [final] ).

cnf(c_0_1652,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X4,c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_1248,
    [final] ).

cnf(c_0_1653,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X4,c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_1249,
    [final] ).

cnf(c_0_1654,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_1250,
    [final] ).

cnf(c_0_1655,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_1251,
    [final] ).

cnf(c_0_1656,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_1252,
    [final] ).

cnf(c_0_1657,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_1253,
    [final] ).

cnf(c_0_1658,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_1254,
    [final] ).

cnf(c_0_1659,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_1255,
    [final] ).

cnf(c_0_1660,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_1256,
    [final] ).

cnf(c_0_1661,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_1257,
    [final] ).

cnf(c_0_1662,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_1258,
    [final] ).

cnf(c_0_1663,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_1259,
    [final] ).

cnf(c_0_1664,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_1260,
    [final] ).

cnf(c_0_1665,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_1261,
    [final] ).

cnf(c_0_1666,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_Divides_Odiv__class_Odiv(X4,X1,X3),X3)
    | ~ 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_Divides_Osemiring__div(X3) ),
    c_0_1262,
    [final] ).

cnf(c_0_1667,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_1263,
    [final] ).

cnf(c_0_1668,plain,
    ( c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X2,X4,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3) = c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X2,X1,X3),X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_1264,
    [final] ).

cnf(c_0_1669,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),c_Divides_Odiv__class_Omod(X1,X2,X3),X3) = X1
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_1265,
    [final] ).

cnf(c_0_1670,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),c_Divides_Odiv__class_Omod(X1,X2,X3),X3) = X1
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_1266,
    [final] ).

cnf(c_0_1671,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3) = X2
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_1267,
    [final] ).

cnf(c_0_1672,plain,
    ( c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),X3) = X1
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_1268,
    [final] ).

cnf(c_0_1673,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_1269,
    [final] ).

cnf(c_0_1674,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_1270,
    [final] ).

cnf(c_0_1675,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_1271,
    [final] ).

cnf(c_0_1676,plain,
    ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_1272,
    [final] ).

cnf(c_0_1677,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X3,X4,X2),c_Power_Opower__class_Opower(X1,X4,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X4,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_1273,
    [final] ).

cnf(c_0_1678,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_1274,
    [final] ).

cnf(c_0_1679,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_1275,
    [final] ).

cnf(c_0_1680,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_1276,
    [final] ).

cnf(c_0_1681,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_1277,
    [final] ).

cnf(c_0_1682,plain,
    ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_1278,
    [final] ).

cnf(c_0_1683,plain,
    ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X3) ),
    c_0_1279,
    [final] ).

cnf(c_0_1684,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_1280,
    [final] ).

cnf(c_0_1685,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_1281,
    [final] ).

cnf(c_0_1686,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_1282,
    [final] ).

cnf(c_0_1687,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_1283,
    [final] ).

cnf(c_0_1688,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_1284,
    [final] ).

cnf(c_0_1689,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_1285,
    [final] ).

cnf(c_0_1690,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_1286,
    [final] ).

cnf(c_0_1691,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_1287,
    [final] ).

cnf(c_0_1692,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_1288,
    [final] ).

cnf(c_0_1693,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_1289,
    [final] ).

cnf(c_0_1694,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_1290,
    [final] ).

cnf(c_0_1695,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_1291,
    [final] ).

cnf(c_0_1696,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_1292,
    [final] ).

cnf(c_0_1697,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_1293,
    [final] ).

cnf(c_0_1698,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_1294,
    [final] ).

cnf(c_0_1699,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_1295,
    [final] ).

cnf(c_0_1700,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_1296,
    [final] ).

cnf(c_0_1701,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_1297,
    [final] ).

cnf(c_0_1702,plain,
    ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2),X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oring__1(X2) ),
    c_0_1298,
    [final] ).

cnf(c_0_1703,plain,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X4,X3),X1,X3) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X3),X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_1299,
    [final] ).

cnf(c_0_1704,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_1300,
    [final] ).

cnf(c_0_1705,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_1301,
    [final] ).

cnf(c_0_1706,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_1302,
    [final] ).

cnf(c_0_1707,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_1303,
    [final] ).

cnf(c_0_1708,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X4,X3),tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_1304,
    [final] ).

cnf(c_0_1709,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X4,X3),tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_1305,
    [final] ).

cnf(c_0_1710,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_1306,
    [final] ).

cnf(c_0_1711,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_1307,
    [final] ).

cnf(c_0_1712,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_1308,
    [final] ).

cnf(c_0_1713,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_1309,
    [final] ).

cnf(c_0_1714,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_1310,
    [final] ).

cnf(c_0_1715,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_1311,
    [final] ).

cnf(c_0_1716,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_1312,
    [final] ).

cnf(c_0_1717,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_1313,
    [final] ).

cnf(c_0_1718,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_1314,
    [final] ).

cnf(c_0_1719,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_1315,
    [final] ).

cnf(c_0_1720,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_1316,
    [final] ).

cnf(c_0_1721,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_1317,
    [final] ).

cnf(c_0_1722,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X3,X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_1318,
    [final] ).

cnf(c_0_1723,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X1,X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_1319,
    [final] ).

cnf(c_0_1724,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_1320,
    [final] ).

cnf(c_0_1725,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_1321,
    [final] ).

cnf(c_0_1726,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X2,X3),X4,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_1322,
    [final] ).

cnf(c_0_1727,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Polynomial_Opoly(X2))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,c_Polynomial_Osmult(X1,X4,X2),tc_Polynomial_Opoly(X2))
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_1323,
    [final] ).

cnf(c_0_1728,plain,
    ( X2 = c_HOL_Ozero__class_Ozero(X4)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X4))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X2,X3,X4),tc_Polynomial_Opoly(X4))
    | ~ class_Ring__and__Field_Ofield(X4) ),
    c_0_1324,
    [final] ).

cnf(c_0_1729,plain,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_1325,
    [final] ).

cnf(c_0_1730,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2) = c_Divides_Odiv__class_Odiv(X3,X4,X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_1326,
    [final] ).

cnf(c_0_1731,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2) = c_Divides_Odiv__class_Odiv(X3,X4,X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_1327,
    [final] ).

cnf(c_0_1732,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X4))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X3,X4),tc_Polynomial_Opoly(X4))
    | ~ class_Ring__and__Field_Ofield(X4) ),
    c_0_1328,
    [final] ).

cnf(c_0_1733,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X4))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X3,X4),tc_Polynomial_Opoly(X4))
    | ~ class_Ring__and__Field_Ofield(X4) ),
    c_0_1329,
    [final] ).

cnf(c_0_1734,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X2,X3),X4,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_1330,
    [final] ).

cnf(c_0_1735,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_1331,
    [final] ).

cnf(c_0_1736,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_1332,
    [final] ).

cnf(c_0_1737,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_1333,
    [final] ).

cnf(c_0_1738,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_1334,
    [final] ).

cnf(c_0_1739,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_1335,
    [final] ).

cnf(c_0_1740,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_1336,
    [final] ).

cnf(c_0_1741,plain,
    ( c_Polynomial_Opoly__gcd(X1,c_Polynomial_Opoly__gcd(X2,X3,X4),X4) = c_Polynomial_Opoly__gcd(X2,c_Polynomial_Opoly__gcd(X1,X3,X4),X4)
    | ~ class_Ring__and__Field_Ofield(X4) ),
    c_0_1337,
    [final] ).

cnf(c_0_1742,plain,
    ( c_Polynomial_Opoly__gcd(c_Polynomial_Opoly__gcd(X1,X2,X3),X4,X3) = c_Polynomial_Opoly__gcd(X1,c_Polynomial_Opoly__gcd(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_1338,
    [final] ).

cnf(c_0_1743,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_1339,
    [final] ).

cnf(c_0_1744,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_1340,
    [final] ).

cnf(c_0_1745,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_1341,
    [final] ).

cnf(c_0_1746,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_1342,
    [final] ).

cnf(c_0_1747,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_1343,
    [final] ).

cnf(c_0_1748,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_1344,
    [final] ).

cnf(c_0_1749,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_1345,
    [final] ).

cnf(c_0_1750,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_1346,
    [final] ).

cnf(c_0_1751,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_1347,
    [final] ).

cnf(c_0_1752,plain,
    ( c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4) = c_Polynomial_Osmult(X1,c_Polynomial_Osmult(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X4) ),
    c_0_1348,
    [final] ).

cnf(c_0_1753,plain,
    ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),X1,X3) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Omonoid__mult(X3) ),
    c_0_1349,
    [final] ).

cnf(c_0_1754,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_1350,
    [final] ).

cnf(c_0_1755,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_1351,
    [final] ).

cnf(c_0_1756,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_1352,
    [final] ).

cnf(c_0_1757,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_1353,
    [final] ).

cnf(c_0_1758,plain,
    ( c_Divides_Odiv__class_Odiv(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) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    c_0_1354,
    [final] ).

cnf(c_0_1759,plain,
    ( c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_1355,
    [final] ).

cnf(c_0_1760,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_1356,
    [final] ).

cnf(c_0_1761,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_1357,
    [final] ).

cnf(c_0_1762,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_1358,
    [final] ).

cnf(c_0_1763,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_1359,
    [final] ).

cnf(c_0_1764,plain,
    ( c_Divides_Odiv__class_Odiv(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X1,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Divides_Oring__div(X3) ),
    c_0_1360,
    [final] ).

cnf(c_0_1765,plain,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X1,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Divides_Oring__div(X3) ),
    c_0_1361,
    [final] ).

cnf(c_0_1766,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_1362,
    [final] ).

cnf(c_0_1767,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X3,X2),X4,tc_Polynomial_Opoly(X2))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Polynomial_Opoly(X2))
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_1363,
    [final] ).

cnf(c_0_1768,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Ring__and__Field_Odvd__class_Odvd(X3,c_Polynomial_Osmult(X1,X4,X2),tc_Polynomial_Opoly(X2))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Polynomial_Opoly(X2))
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_1364,
    [final] ).

cnf(c_0_1769,plain,
    ( X4 = c_HOL_Ozero__class_Ozero(X3)
    | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X4,X1,X3),X2,tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_1365,
    [final] ).

cnf(c_0_1770,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X4,X2,X3),tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    c_0_1366,
    [final] ).

cnf(c_0_1771,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3) = X2
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_1367,
    [final] ).

cnf(c_0_1772,plain,
    ( c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X3),X1,X3) = X2
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_1368,
    [final] ).

cnf(c_0_1773,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_1369,
    [final] ).

cnf(c_0_1774,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_1370,
    [final] ).

cnf(c_0_1775,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X3,X2,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    c_0_1371,
    [final] ).

cnf(c_0_1776,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_1372,
    [final] ).

cnf(c_0_1777,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_1373,
    [final] ).

cnf(c_0_1778,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_1374,
    [final] ).

cnf(c_0_1779,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_1375,
    [final] ).

cnf(c_0_1780,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_1376,
    [final] ).

cnf(c_0_1781,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_1377,
    [final] ).

cnf(c_0_1782,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_1378,
    [final] ).

cnf(c_0_1783,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_1379,
    [final] ).

cnf(c_0_1784,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_1380,
    [final] ).

cnf(c_0_1785,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_1381,
    [final] ).

cnf(c_0_1786,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_1382,
    [final] ).

cnf(c_0_1787,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_1383,
    [final] ).

cnf(c_0_1788,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_1384,
    [final] ).

cnf(c_0_1789,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_1385,
    [final] ).

cnf(c_0_1790,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_1386,
    [final] ).

cnf(c_0_1791,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_1387,
    [final] ).

cnf(c_0_1792,plain,
    ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X3),X2,X3) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Odivision__ring(X3) ),
    c_0_1388,
    [final] ).

cnf(c_0_1793,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_1389,
    [final] ).

cnf(c_0_1794,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_1390,
    [final] ).

cnf(c_0_1795,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X2),X3,X2) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    c_0_1391,
    [final] ).

cnf(c_0_1796,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_1392,
    [final] ).

cnf(c_0_1797,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_1393,
    [final] ).

cnf(c_0_1798,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_1394,
    [final] ).

cnf(c_0_1799,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_1395,
    [final] ).

cnf(c_0_1800,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_1396,
    [final] ).

cnf(c_0_1801,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_1397,
    [final] ).

cnf(c_0_1802,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_1398,
    [final] ).

cnf(c_0_1803,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_1399,
    [final] ).

cnf(c_0_1804,plain,
    ( c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_1400,
    [final] ).

cnf(c_0_1805,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_1401,
    [final] ).

cnf(c_0_1806,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_1402,
    [final] ).

cnf(c_0_1807,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_1403,
    [final] ).

cnf(c_0_1808,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_1404,
    [final] ).

cnf(c_0_1809,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_1405,
    [final] ).

cnf(c_0_1810,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_1406,
    [final] ).

cnf(c_0_1811,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_1407,
    [final] ).

cnf(c_0_1812,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_1408,
    [final] ).

cnf(c_0_1813,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_1409,
    [final] ).

cnf(c_0_1814,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_1410,
    [final] ).

cnf(c_0_1815,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_1411,
    [final] ).

cnf(c_0_1816,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1412,
    [final] ).

cnf(c_0_1817,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_1413,
    [final] ).

cnf(c_0_1818,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_1414,
    [final] ).

cnf(c_0_1819,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_1415,
    [final] ).

cnf(c_0_1820,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_1416,
    [final] ).

cnf(c_0_1821,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_1417,
    [final] ).

cnf(c_0_1822,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_1418,
    [final] ).

cnf(c_0_1823,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_1419,
    [final] ).

cnf(c_0_1824,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_1420,
    [final] ).

cnf(c_0_1825,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_1421,
    [final] ).

cnf(c_0_1826,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_1422,
    [final] ).

cnf(c_0_1827,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_1423,
    [final] ).

cnf(c_0_1828,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_1424,
    [final] ).

cnf(c_0_1829,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_1425,
    [final] ).

cnf(c_0_1830,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_1426,
    [final] ).

cnf(c_0_1831,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X2),X1,X2) = X3
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_1427,
    [final] ).

cnf(c_0_1832,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X1,X2,X3),X1,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_1428,
    [final] ).

cnf(c_0_1833,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X1,X2,X3),X2,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_1429,
    [final] ).

cnf(c_0_1834,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_1430,
    [final] ).

cnf(c_0_1835,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_1431,
    [final] ).

cnf(c_0_1836,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_1432,
    [final] ).

cnf(c_0_1837,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_1433,
    [final] ).

cnf(c_0_1838,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_1434,
    [final] ).

cnf(c_0_1839,plain,
    ( c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    c_0_1435,
    [final] ).

cnf(c_0_1840,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_1436,
    [final] ).

cnf(c_0_1841,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_1437,
    [final] ).

cnf(c_0_1842,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3) = X1
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_1438,
    [final] ).

cnf(c_0_1843,plain,
    ( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = X1
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_1439,
    [final] ).

cnf(c_0_1844,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_1440,
    [final] ).

cnf(c_0_1845,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_1441,
    [final] ).

cnf(c_0_1846,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_1442,
    [final] ).

cnf(c_0_1847,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_1443,
    [final] ).

cnf(c_0_1848,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_1444,
    [final] ).

cnf(c_0_1849,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_1445,
    [final] ).

cnf(c_0_1850,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_1446,
    [final] ).

cnf(c_0_1851,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_1447,
    [final] ).

cnf(c_0_1852,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_1448,
    [final] ).

cnf(c_0_1853,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_1449,
    [final] ).

cnf(c_0_1854,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_1450,
    [final] ).

cnf(c_0_1855,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_1451,
    [final] ).

cnf(c_0_1856,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_1452,
    [final] ).

cnf(c_0_1857,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_1453,
    [final] ).

cnf(c_0_1858,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_1454,
    [final] ).

cnf(c_0_1859,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_1455,
    [final] ).

cnf(c_0_1860,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    c_0_1456,
    [final] ).

cnf(c_0_1861,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    c_0_1457,
    [final] ).

cnf(c_0_1862,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    c_0_1458,
    [final] ).

cnf(c_0_1863,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_1459,
    [final] ).

cnf(c_0_1864,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_1460,
    [final] ).

cnf(c_0_1865,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_1461,
    [final] ).

cnf(c_0_1866,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_1462,
    [final] ).

cnf(c_0_1867,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_1463,
    [final] ).

cnf(c_0_1868,plain,
    ( c_Polynomial_Opoly__gcd(X1,X2,X3) = c_Polynomial_Opoly__gcd(X2,X1,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    c_0_1464,
    [final] ).

cnf(c_0_1869,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_1465,
    [final] ).

cnf(c_0_1870,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_1466,
    [final] ).

cnf(c_0_1871,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_1467,
    [final] ).

cnf(c_0_1872,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_1468,
    [final] ).

cnf(c_0_1873,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_1469,
    [final] ).

cnf(c_0_1874,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_1470,
    [final] ).

cnf(c_0_1875,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_1471,
    [final] ).

cnf(c_0_1876,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_1472,
    [final] ).

cnf(c_0_1877,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_1473,
    [final] ).

cnf(c_0_1878,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_1474,
    [final] ).

cnf(c_0_1879,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_1475,
    [final] ).

cnf(c_0_1880,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_1476,
    [final] ).

cnf(c_0_1881,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_1477,
    [final] ).

cnf(c_0_1882,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X2) ),
    c_0_1478,
    [final] ).

cnf(c_0_1883,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_1479,
    [final] ).

cnf(c_0_1884,plain,
    ( X1 = X2
    | c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_1480,
    [final] ).

cnf(c_0_1885,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_1481,
    [final] ).

cnf(c_0_1886,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_1482,
    [final] ).

cnf(c_0_1887,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_1483,
    [final] ).

cnf(c_0_1888,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_1484,
    [final] ).

cnf(c_0_1889,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_1485,
    [final] ).

cnf(c_0_1890,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_1486,
    [final] ).

cnf(c_0_1891,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_1487,
    [final] ).

cnf(c_0_1892,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_1488,
    [final] ).

cnf(c_0_1893,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_1489,
    [final] ).

cnf(c_0_1894,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_1490,
    [final] ).

cnf(c_0_1895,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_1491,
    [final] ).

cnf(c_0_1896,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_1492,
    [final] ).

cnf(c_0_1897,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_1493,
    [final] ).

cnf(c_0_1898,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_1494,
    [final] ).

cnf(c_0_1899,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_1495,
    [final] ).

cnf(c_0_1900,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_1496,
    [final] ).

cnf(c_0_1901,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_1497,
    [final] ).

cnf(c_0_1902,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_1498,
    [final] ).

cnf(c_0_1903,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_1499,
    [final] ).

cnf(c_0_1904,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_1500,
    [final] ).

cnf(c_0_1905,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_1501,
    [final] ).

cnf(c_0_1906,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_1502,
    [final] ).

cnf(c_0_1907,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_1503,
    [final] ).

cnf(c_0_1908,plain,
    ( c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_1504,
    [final] ).

cnf(c_0_1909,plain,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    c_0_1505,
    [final] ).

cnf(c_0_1910,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_1506,
    [final] ).

cnf(c_0_1911,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_1507,
    [final] ).

cnf(c_0_1912,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_1508,
    [final] ).

cnf(c_0_1913,plain,
    ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    c_0_1509,
    [final] ).

cnf(c_0_1914,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_1510,
    [final] ).

cnf(c_0_1915,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_1511,
    [final] ).

cnf(c_0_1916,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_1512,
    [final] ).

cnf(c_0_1917,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_1513,
    [final] ).

cnf(c_0_1918,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_1514,
    [final] ).

cnf(c_0_1919,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_1515,
    [final] ).

cnf(c_0_1920,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_1516,
    [final] ).

cnf(c_0_1921,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_1517,
    [final] ).

cnf(c_0_1922,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_1518,
    [final] ).

cnf(c_0_1923,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_1519,
    [final] ).

cnf(c_0_1924,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_1520,
    [final] ).

cnf(c_0_1925,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_1521,
    [final] ).

cnf(c_0_1926,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_1522,
    [final] ).

cnf(c_0_1927,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_1523,
    [final] ).

cnf(c_0_1928,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_1524,
    [final] ).

cnf(c_0_1929,plain,
    ( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1525,
    [final] ).

cnf(c_0_1930,plain,
    ( c_Polynomial_Osmult(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1526,
    [final] ).

cnf(c_0_1931,plain,
    ( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
    | ~ class_Ring__and__Field_Ofield(X2) ),
    c_0_1527,
    [final] ).

cnf(c_0_1932,plain,
    ( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
    | ~ class_OrderedGroup_Omonoid__mult(X2) ),
    c_0_1528,
    [final] ).

cnf(c_0_1933,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    c_0_1529,
    [final] ).

cnf(c_0_1934,plain,
    ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
    c_0_1530,
    [final] ).

cnf(c_0_1935,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_1531,
    [final] ).

cnf(c_0_1936,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_1532,
    [final] ).

cnf(c_0_1937,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_1533,
    [final] ).

cnf(c_0_1938,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Omonoid__add(X2) ),
    c_0_1534,
    [final] ).

cnf(c_0_1939,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Omonoid__add(X1) ),
    c_0_1535,
    [final] ).

cnf(c_0_1940,plain,
    ( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
    c_0_1536,
    [final] ).

cnf(c_0_1941,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_1537,
    [final] ).

cnf(c_0_1942,plain,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    c_0_1538,
    [final] ).

cnf(c_0_1943,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_1539,
    [final] ).

cnf(c_0_1944,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_1540,
    [final] ).

cnf(c_0_1945,plain,
    ( c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_1541,
    [final] ).

cnf(c_0_1946,plain,
    ( c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_1542,
    [final] ).

cnf(c_0_1947,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_1543,
    [final] ).

cnf(c_0_1948,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_1544,
    [final] ).

cnf(c_0_1949,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Oab__group__add(X2) ),
    c_0_1545,
    [final] ).

cnf(c_0_1950,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1546,
    [final] ).

cnf(c_0_1951,plain,
    ( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1547,
    [final] ).

cnf(c_0_1952,plain,
    ( c_Divides_Odiv__class_Omod(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    c_0_1548,
    [final] ).

cnf(c_0_1953,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_1549,
    [final] ).

cnf(c_0_1954,plain,
    ( c_HOL_Otimes__class_Otimes(X1,X1,X2) = X1
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
    c_0_1550,
    [final] ).

cnf(c_0_1955,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    c_0_1551,
    [final] ).

cnf(c_0_1956,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_1552,
    [final] ).

cnf(c_0_1957,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_1553,
    [final] ).

cnf(c_0_1958,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_1554,
    [final] ).

cnf(c_0_1959,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_1555,
    [final] ).

cnf(c_0_1960,plain,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_1556,
    [final] ).

cnf(c_0_1961,plain,
    ( X1 = X2
    | c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    c_0_1557,
    [final] ).

cnf(c_0_1962,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_1558,
    [final] ).

cnf(c_0_1963,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_1559,
    [final] ).

cnf(c_0_1964,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_1560,
    [final] ).

cnf(c_0_1965,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1561,
    [final] ).

cnf(c_0_1966,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1562,
    [final] ).

cnf(c_0_1967,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1563,
    [final] ).

cnf(c_0_1968,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_Lattices_Oboolean__algebra(X2) ),
    c_0_1564,
    [final] ).

cnf(c_0_1969,plain,
    ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1565,
    [final] ).

cnf(c_0_1970,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_1566,
    [final] ).

cnf(c_0_1971,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_1567,
    [final] ).

cnf(c_0_1972,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_1568,
    [final] ).

cnf(c_0_1973,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_1569,
    [final] ).

cnf(c_0_1974,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_1570,
    [final] ).

cnf(c_0_1975,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_1571,
    [final] ).

cnf(c_0_1976,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_1572,
    [final] ).

cnf(c_0_1977,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_1573,
    [final] ).

cnf(c_0_1978,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_1574,
    [final] ).

cnf(c_0_1979,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_1575,
    [final] ).

cnf(c_0_1980,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_1576,
    [final] ).

cnf(c_0_1981,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_1577,
    [final] ).

cnf(c_0_1982,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_1578,
    [final] ).

cnf(c_0_1983,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_1579,
    [final] ).

cnf(c_0_1984,plain,
    ( c_HOL_Ozero__class_Ozero(X1) != c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
    c_0_1580,
    [final] ).

cnf(c_0_1985,plain,
    ( c_HOL_Ozero__class_Ozero(X1) != c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
    c_0_1581,
    [final] ).

cnf(c_0_1986,plain,
    ( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
    c_0_1582,
    [final] ).

cnf(c_0_1987,plain,
    ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_1583,
    [final] ).

cnf(c_0_1988,plain,
    ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_1584,
    [final] ).

cnf(c_0_1989,plain,
    ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_1585,
    [final] ).

cnf(c_0_1990,plain,
    ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
    c_0_1586,
    [final] ).

cnf(c_0_1991,plain,
    ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_1587,
    [final] ).

cnf(c_0_1992,plain,
    ( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_1588,
    [final] ).

cnf(c_0_1993,plain,
    ( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
    c_0_1589,
    [final] ).

cnf(c_0_1994,plain,
    ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_1590,
    [final] ).

cnf(c_0_1995,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1591,
    [final] ).

cnf(c_0_1996,plain,
    ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    c_0_1592,
    [final] ).

cnf(c_0_1997,plain,
    ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    c_0_1593,
    [final] ).

cnf(c_0_1998,plain,
    ( class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1594,
    [final] ).

cnf(c_0_1999,plain,
    ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    c_0_1595,
    [final] ).

cnf(c_0_2000,plain,
    ( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    c_0_1596,
    [final] ).

cnf(c_0_2001,plain,
    ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    c_0_1597,
    [final] ).

cnf(c_0_2002,plain,
    ( class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1598,
    [final] ).

cnf(c_0_2003,plain,
    ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_1599,
    [final] ).

cnf(c_0_2004,plain,
    ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_1600,
    [final] ).

cnf(c_0_2005,plain,
    ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_1601,
    [final] ).

cnf(c_0_2006,plain,
    ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    c_0_1602,
    [final] ).

cnf(c_0_2007,plain,
    ( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    c_0_1603,
    [final] ).

cnf(c_0_2008,plain,
    ( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1604,
    [final] ).

cnf(c_0_2009,plain,
    ( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
    c_0_1605,
    [final] ).

cnf(c_0_2010,plain,
    ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    c_0_1606,
    [final] ).

cnf(c_0_2011,plain,
    ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_1607,
    [final] ).

cnf(c_0_2012,plain,
    ( class_Ring__and__Field_Oring__1(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_1608,
    [final] ).

cnf(c_0_2013,plain,
    ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_1609,
    [final] ).

cnf(c_0_2014,plain,
    ( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__ring(X1) ),
    c_0_1610,
    [final] ).

cnf(c_0_2015,plain,
    ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_1611,
    [final] ).

cnf(c_0_2016,plain,
    ( class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1612,
    [final] ).

cnf(c_0_2017,plain,
    ( class_Divides_Oring__div(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ofield(X1) ),
    c_0_1613,
    [final] ).

cnf(c_0_2018,plain,
    ( class_Int_Onumber__ring(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    c_0_1614,
    [final] ).

cnf(c_0_2019,plain,
    ( class_Power_Opower(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1615,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_1616_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_1616]) ).

cnf(c_0_1616_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_1616]) ).

cnf(c_0_1617_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_1617]) ).

cnf(c_0_1617_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_1617]) ).

cnf(c_0_1618_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_1618]) ).

cnf(c_0_1618_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_1618]) ).

cnf(c_0_1618_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_1618]) ).

cnf(c_0_1618_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_1618]) ).

cnf(c_0_1619_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_1619]) ).

cnf(c_0_1619_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_1619]) ).

cnf(c_0_1619_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_1619]) ).

cnf(c_0_1619_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_1619]) ).

cnf(c_0_1619_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_1619]) ).

cnf(c_0_1620_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_1620]) ).

cnf(c_0_1620_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_1620]) ).

cnf(c_0_1620_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_1620]) ).

cnf(c_0_1620_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_1620]) ).

cnf(c_0_1620_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_1620]) ).

cnf(c_0_1621_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_1621]) ).

cnf(c_0_1621_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_1621]) ).

cnf(c_0_1622_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_1622]) ).

cnf(c_0_1622_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_1622]) ).

cnf(c_0_1623_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1623]) ).

cnf(c_0_1623_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1623]) ).

cnf(c_0_1624_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3),X4,X3) = c_HOL_Oplus__class_Oplus(X2,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1624]) ).

cnf(c_0_1624_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3),X4,X3) = c_HOL_Oplus__class_Oplus(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1624]) ).

cnf(c_0_1625_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_1625]) ).

cnf(c_0_1625_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_1625]) ).

cnf(c_0_1625_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_1625]) ).

cnf(c_0_1625_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_1625]) ).

cnf(c_0_1626_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_1626]) ).

cnf(c_0_1626_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_1626]) ).

cnf(c_0_1626_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_1626]) ).

cnf(c_0_1626_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_1626]) ).

cnf(c_0_1627_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_1627]) ).

cnf(c_0_1627_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_1627]) ).

cnf(c_0_1627_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_1627]) ).

cnf(c_0_1627_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_1627]) ).

cnf(c_0_1628_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_1628]) ).

cnf(c_0_1628_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_1628]) ).

cnf(c_0_1628_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_1628]) ).

cnf(c_0_1629_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_1629]) ).

cnf(c_0_1629_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_1629]) ).

cnf(c_0_1629_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_1629]) ).

cnf(c_0_1630_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_1630]) ).

cnf(c_0_1630_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_1630]) ).

cnf(c_0_1631_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_1631]) ).

cnf(c_0_1631_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_1631]) ).

cnf(c_0_1631_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_1631]) ).

cnf(c_0_1631_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_1631]) ).

cnf(c_0_1631_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_1631]) ).

cnf(c_0_1632_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_1632]) ).

cnf(c_0_1632_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_1632]) ).

cnf(c_0_1632_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_1632]) ).

cnf(c_0_1632_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_1632]) ).

cnf(c_0_1632_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_1632]) ).

cnf(c_0_1633_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_1633]) ).

cnf(c_0_1633_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_1633]) ).

cnf(c_0_1634_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_1634]) ).

cnf(c_0_1634_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_1634]) ).

cnf(c_0_1635_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_1635]) ).

cnf(c_0_1635_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_1635]) ).

cnf(c_0_1636_0,axiom,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X5,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_Divides_Odiv__class_Odiv(X5,X4,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X5,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1636]) ).

cnf(c_0_1636_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X5,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_Divides_Odiv__class_Odiv(X5,X4,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X5,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1636]) ).

cnf(c_0_1636_2,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X5,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X5,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_Divides_Odiv__class_Odiv(X5,X4,X3),X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1636]) ).

cnf(c_0_1636_3,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X5,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X5,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_Divides_Odiv__class_Odiv(X5,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1636]) ).

cnf(c_0_1637_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_1637]) ).

cnf(c_0_1637_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_1637]) ).

cnf(c_0_1637_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_1637]) ).

cnf(c_0_1637_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_1637]) ).

cnf(c_0_1638_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_1638]) ).

cnf(c_0_1638_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_1638]) ).

cnf(c_0_1638_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_1638]) ).

cnf(c_0_1638_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_1638]) ).

cnf(c_0_1639_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_1639]) ).

cnf(c_0_1639_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_1639]) ).

cnf(c_0_1639_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_1639]) ).

cnf(c_0_1639_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_1639]) ).

cnf(c_0_1640_0,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)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_Divides_Odiv__class_Odiv(X4,X1,X3),X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1640]) ).

cnf(c_0_1640_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_Divides_Odiv__class_Odiv(X4,X1,X3),X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1640]) ).

cnf(c_0_1640_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(X2,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_Divides_Odiv__class_Odiv(X4,X1,X3),X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1640]) ).

cnf(c_0_1640_3,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_Divides_Odiv__class_Odiv(X4,X1,X3),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(X2,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1640]) ).

cnf(c_0_1640_4,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_Divides_Odiv__class_Odiv(X4,X1,X3),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(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1640]) ).

cnf(c_0_1641_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_1641]) ).

cnf(c_0_1641_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_1641]) ).

cnf(c_0_1642_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_1642]) ).

cnf(c_0_1642_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_1642]) ).

cnf(c_0_1643_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_Divides_Odiv__class_Odiv(X4,X1,X3),X3) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,X4,X3),X1,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_1643]) ).

cnf(c_0_1643_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_Divides_Odiv__class_Odiv(X4,X1,X3),X3) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,X4,X3),X1,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1643]) ).

cnf(c_0_1643_2,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_Divides_Odiv__class_Odiv(X4,X1,X3),X3) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,X4,X3),X1,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1643]) ).

cnf(c_0_1643_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_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_Divides_Odiv__class_Odiv(X4,X1,X3),X3) = c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X2,X4,X3),X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1643]) ).

cnf(c_0_1644_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_1644]) ).

cnf(c_0_1644_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_1644]) ).

cnf(c_0_1644_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_1644]) ).

cnf(c_0_1644_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_1644]) ).

cnf(c_0_1645_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_1645]) ).

cnf(c_0_1645_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_1645]) ).

cnf(c_0_1645_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_1645]) ).

cnf(c_0_1645_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_1645]) ).

cnf(c_0_1646_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_1646]) ).

cnf(c_0_1646_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_1646]) ).

cnf(c_0_1646_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_1646]) ).

cnf(c_0_1646_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_1646]) ).

cnf(c_0_1647_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_1647]) ).

cnf(c_0_1647_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_1647]) ).

cnf(c_0_1647_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_1647]) ).

cnf(c_0_1647_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_1647]) ).

cnf(c_0_1648_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_1648]) ).

cnf(c_0_1648_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_1648]) ).

cnf(c_0_1648_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_1648]) ).

cnf(c_0_1648_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_1648]) ).

cnf(c_0_1649_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1649]) ).

cnf(c_0_1649_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1649]) ).

cnf(c_0_1649_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1649]) ).

cnf(c_0_1650_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_1650]) ).

cnf(c_0_1650_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_1650]) ).

cnf(c_0_1650_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_1650]) ).

cnf(c_0_1651_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_1651]) ).

cnf(c_0_1651_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_1651]) ).

cnf(c_0_1651_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_1651]) ).

cnf(c_0_1652_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X4,c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1652]) ).

cnf(c_0_1652_1,axiom,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X4,c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1652]) ).

cnf(c_0_1652_2,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X4,X1,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X4,c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1652]) ).

cnf(c_0_1653_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X4,c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1653]) ).

cnf(c_0_1653_1,axiom,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X4,c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1653]) ).

cnf(c_0_1653_2,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,c_HOL_Otimes__class_Otimes(X1,X4,X2),X2),X1,X2) = c_HOL_Oplus__class_Oplus(X4,c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1653]) ).

cnf(c_0_1654_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_1654]) ).

cnf(c_0_1654_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_1654]) ).

cnf(c_0_1655_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_1655]) ).

cnf(c_0_1655_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_1655]) ).

cnf(c_0_1656_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_1656]) ).

cnf(c_0_1656_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_1656]) ).

cnf(c_0_1657_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_1657]) ).

cnf(c_0_1657_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_1657]) ).

cnf(c_0_1658_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_1658]) ).

cnf(c_0_1658_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_1658]) ).

cnf(c_0_1659_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_1659]) ).

cnf(c_0_1659_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_1659]) ).

cnf(c_0_1660_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_1660]) ).

cnf(c_0_1660_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_1660]) ).

cnf(c_0_1661_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_1661]) ).

cnf(c_0_1661_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_1661]) ).

cnf(c_0_1662_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_1662]) ).

cnf(c_0_1662_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_1662]) ).

cnf(c_0_1663_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_1663]) ).

cnf(c_0_1663_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_1663]) ).

cnf(c_0_1664_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_1664]) ).

cnf(c_0_1664_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_1664]) ).

cnf(c_0_1665_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_1665]) ).

cnf(c_0_1665_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_1665]) ).

cnf(c_0_1666_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_Divides_Odiv__class_Odiv(X4,X1,X3),X3)
    | ~ 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_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1666]) ).

cnf(c_0_1666_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_Divides_Odiv__class_Odiv(X4,X1,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1666]) ).

cnf(c_0_1666_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(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_Divides_Odiv__class_Odiv(X4,X1,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1666]) ).

cnf(c_0_1666_3,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,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(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_Divides_Odiv__class_Odiv(X4,X1,X3),X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1666]) ).

cnf(c_0_1666_4,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,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(c_Divides_Odiv__class_Odiv(X2,X1,X3),c_Divides_Odiv__class_Odiv(X4,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1666]) ).

cnf(c_0_1667_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_1667]) ).

cnf(c_0_1667_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_1667]) ).

cnf(c_0_1667_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_1667]) ).

cnf(c_0_1667_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_1667]) ).

cnf(c_0_1667_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_1667]) ).

cnf(c_0_1668_0,axiom,
    ( c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X2,X4,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3) = c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X2,X1,X3),X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1668]) ).

cnf(c_0_1668_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X2,X4,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3) = c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X2,X1,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1668]) ).

cnf(c_0_1668_2,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X2,X4,X3),c_Power_Opower__class_Opower(X1,X4,X3),X3) = c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X2,X1,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1668]) ).

cnf(c_0_1669_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),c_Divides_Odiv__class_Omod(X1,X2,X3),X3) = X1
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1669]) ).

cnf(c_0_1669_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),c_Divides_Odiv__class_Omod(X1,X2,X3),X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1669]) ).

cnf(c_0_1670_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),c_Divides_Odiv__class_Omod(X1,X2,X3),X3) = X1
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1670]) ).

cnf(c_0_1670_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),c_Divides_Odiv__class_Omod(X1,X2,X3),X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1670]) ).

cnf(c_0_1671_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3) = X2
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1671]) ).

cnf(c_0_1671_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3),c_Divides_Odiv__class_Omod(X2,X1,X3),X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1671]) ).

cnf(c_0_1672_0,axiom,
    ( c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),X3) = X1
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1672]) ).

cnf(c_0_1672_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(X1,X2,X3),c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X3),X2,X3),X3) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1672]) ).

cnf(c_0_1673_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_1673]) ).

cnf(c_0_1673_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_1673]) ).

cnf(c_0_1673_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_1673]) ).

cnf(c_0_1673_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_1673]) ).

cnf(c_0_1674_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_1674]) ).

cnf(c_0_1674_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_1674]) ).

cnf(c_0_1674_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_1674]) ).

cnf(c_0_1674_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_1674]) ).

cnf(c_0_1675_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_1675]) ).

cnf(c_0_1675_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_1675]) ).

cnf(c_0_1675_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_1675]) ).

cnf(c_0_1675_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_1675]) ).

cnf(c_0_1676_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1676]) ).

cnf(c_0_1676_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1676]) ).

cnf(c_0_1676_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1676]) ).

cnf(c_0_1677_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X3,X4,X2),c_Power_Opower__class_Opower(X1,X4,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X4,X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1677]) ).

cnf(c_0_1677_1,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X3,X4,X2),c_Power_Opower__class_Opower(X1,X4,X2),X2) = c_Power_Opower__class_Opower(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_1677]) ).

cnf(c_0_1677_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X3,X4,X2),c_Power_Opower__class_Opower(X1,X4,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1677]) ).

cnf(c_0_1678_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_1678]) ).

cnf(c_0_1678_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_1678]) ).

cnf(c_0_1678_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_1678]) ).

cnf(c_0_1679_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_1679]) ).

cnf(c_0_1679_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_1679]) ).

cnf(c_0_1679_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_1679]) ).

cnf(c_0_1680_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_1680]) ).

cnf(c_0_1680_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_1680]) ).

cnf(c_0_1681_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_1681]) ).

cnf(c_0_1681_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_1681]) ).

cnf(c_0_1682_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3) = c_Power_Opower__class_Opower(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_1682]) ).

cnf(c_0_1682_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1682]) ).

cnf(c_0_1683_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
    | ~ class_OrderedGroup_Ocomm__monoid__mult(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1683]) ).

cnf(c_0_1683_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__mult(X3)
    | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1683]) ).

cnf(c_0_1684_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_1684]) ).

cnf(c_0_1684_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_1684]) ).

cnf(c_0_1685_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_1685]) ).

cnf(c_0_1685_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_1685]) ).

cnf(c_0_1686_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_1686]) ).

cnf(c_0_1686_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_1686]) ).

cnf(c_0_1687_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_1687]) ).

cnf(c_0_1687_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_1687]) ).

cnf(c_0_1688_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_1688]) ).

cnf(c_0_1688_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_1688]) ).

cnf(c_0_1689_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_1689]) ).

cnf(c_0_1689_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_1689]) ).

cnf(c_0_1690_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_1690]) ).

cnf(c_0_1690_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_1690]) ).

cnf(c_0_1691_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_1691]) ).

cnf(c_0_1691_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_1691]) ).

cnf(c_0_1692_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_1692]) ).

cnf(c_0_1692_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_1692]) ).

cnf(c_0_1693_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_1693]) ).

cnf(c_0_1693_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_1693]) ).

cnf(c_0_1694_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_1694]) ).

cnf(c_0_1694_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_1694]) ).

cnf(c_0_1695_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_1695]) ).

cnf(c_0_1695_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_1695]) ).

cnf(c_0_1696_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_1696]) ).

cnf(c_0_1696_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_1696]) ).

cnf(c_0_1697_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_1697]) ).

cnf(c_0_1697_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_1697]) ).

cnf(c_0_1698_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_1698]) ).

cnf(c_0_1698_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_1698]) ).

cnf(c_0_1699_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_1699]) ).

cnf(c_0_1699_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_1699]) ).

cnf(c_0_1700_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_1700]) ).

cnf(c_0_1700_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_1700]) ).

cnf(c_0_1701_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_1701]) ).

cnf(c_0_1701_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_1701]) ).

cnf(c_0_1702_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2),X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
    | ~ class_Ring__and__Field_Oring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1702]) ).

cnf(c_0_1702_1,axiom,
    ( ~ class_Ring__and__Field_Oring__1(X2)
    | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X2),X2),X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1702]) ).

cnf(c_0_1703_0,axiom,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X4,X3),X1,X3) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X3),X4,X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1703]) ).

cnf(c_0_1703_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X4,X3),X1,X3) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X3),X4,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1703]) ).

cnf(c_0_1703_2,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X4,X3),X1,X3) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1703]) ).

cnf(c_0_1704_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_1704]) ).

cnf(c_0_1704_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_1704]) ).

cnf(c_0_1704_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_1704]) ).

cnf(c_0_1704_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_1704]) ).

cnf(c_0_1705_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_1705]) ).

cnf(c_0_1705_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_1705]) ).

cnf(c_0_1705_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_1705]) ).

cnf(c_0_1705_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_1705]) ).

cnf(c_0_1706_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_1706]) ).

cnf(c_0_1706_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_1706]) ).

cnf(c_0_1706_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_1706]) ).

cnf(c_0_1707_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_1707]) ).

cnf(c_0_1707_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_1707]) ).

cnf(c_0_1708_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X4,X3),tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1708]) ).

cnf(c_0_1708_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X3))
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X4,X3),tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1708]) ).

cnf(c_0_1708_2,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X3))
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X4,X3),tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1708]) ).

cnf(c_0_1708_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X3))
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X4,X3),tc_Polynomial_Opoly(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1708]) ).

cnf(c_0_1709_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X4,X3),tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1709]) ).

cnf(c_0_1709_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X3))
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X4,X3),tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1709]) ).

cnf(c_0_1709_2,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X3))
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X4,X3),tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1709]) ).

cnf(c_0_1709_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X3))
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X4,X3),tc_Polynomial_Opoly(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1709]) ).

cnf(c_0_1710_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_1710]) ).

cnf(c_0_1710_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_1710]) ).

cnf(c_0_1710_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_1710]) ).

cnf(c_0_1711_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_1711]) ).

cnf(c_0_1711_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_1711]) ).

cnf(c_0_1711_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_1711]) ).

cnf(c_0_1712_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(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_1712]) ).

cnf(c_0_1712_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1712]) ).

cnf(c_0_1712_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(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1712]) ).

cnf(c_0_1713_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X3,X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1713]) ).

cnf(c_0_1713_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X3,X1)
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1713]) ).

cnf(c_0_1713_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | ~ class_Ring__and__Field_Odivision__by__zero(X1)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1713]) ).

cnf(c_0_1714_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_1714]) ).

cnf(c_0_1714_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_1714]) ).

cnf(c_0_1714_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_1714]) ).

cnf(c_0_1714_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_1714]) ).

cnf(c_0_1715_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_1715]) ).

cnf(c_0_1715_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_1715]) ).

cnf(c_0_1715_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_1715]) ).

cnf(c_0_1715_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_1715]) ).

cnf(c_0_1716_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_1716]) ).

cnf(c_0_1716_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_1716]) ).

cnf(c_0_1717_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_1717]) ).

cnf(c_0_1717_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_1717]) ).

cnf(c_0_1718_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_1718]) ).

cnf(c_0_1718_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_1718]) ).

cnf(c_0_1718_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_1718]) ).

cnf(c_0_1718_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_1718]) ).

cnf(c_0_1719_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_1719]) ).

cnf(c_0_1719_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_1719]) ).

cnf(c_0_1719_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_1719]) ).

cnf(c_0_1719_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_1719]) ).

cnf(c_0_1720_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_1720]) ).

cnf(c_0_1720_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_1720]) ).

cnf(c_0_1720_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_1720]) ).

cnf(c_0_1720_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_1720]) ).

cnf(c_0_1721_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_1721]) ).

cnf(c_0_1721_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_1721]) ).

cnf(c_0_1721_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_1721]) ).

cnf(c_0_1721_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_1721]) ).

cnf(c_0_1722_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X3,X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1722]) ).

cnf(c_0_1722_1,axiom,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X3,X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1722]) ).

cnf(c_0_1722_2,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X1,X3,X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1722]) ).

cnf(c_0_1723_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X1,X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1723]) ).

cnf(c_0_1723_1,axiom,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X1,X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1723]) ).

cnf(c_0_1723_2,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Oplus__class_Oplus(X3,X1,X2),X1,X2) = c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Odiv(X3,X1,X2),c_HOL_Oone__class_Oone(X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1723]) ).

cnf(c_0_1724_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_1724]) ).

cnf(c_0_1724_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_1724]) ).

cnf(c_0_1724_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_1724]) ).

cnf(c_0_1725_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_1725]) ).

cnf(c_0_1725_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_1725]) ).

cnf(c_0_1726_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X3)
    | c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X2,X3),X4,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1726]) ).

cnf(c_0_1726_1,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Polynomial_Opoly(X3))
    | X1 = c_HOL_Ozero__class_Ozero(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X2,X3),X4,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1726]) ).

cnf(c_0_1726_2,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X2,X3),X4,tc_Polynomial_Opoly(X3))
    | c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Polynomial_Opoly(X3))
    | X1 = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1726]) ).

cnf(c_0_1726_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X2,X3),X4,tc_Polynomial_Opoly(X3))
    | c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Polynomial_Opoly(X3))
    | X1 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1726]) ).

cnf(c_0_1727_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Polynomial_Opoly(X2))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,c_Polynomial_Osmult(X1,X4,X2),tc_Polynomial_Opoly(X2))
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1727]) ).

cnf(c_0_1727_1,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Polynomial_Opoly(X2))
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,c_Polynomial_Osmult(X1,X4,X2),tc_Polynomial_Opoly(X2))
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1727]) ).

cnf(c_0_1727_2,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X3,c_Polynomial_Osmult(X1,X4,X2),tc_Polynomial_Opoly(X2))
    | c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Polynomial_Opoly(X2))
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1727]) ).

cnf(c_0_1727_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,c_Polynomial_Osmult(X1,X4,X2),tc_Polynomial_Opoly(X2))
    | c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Polynomial_Opoly(X2))
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1727]) ).

cnf(c_0_1728_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X4)
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X4))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X2,X3,X4),tc_Polynomial_Opoly(X4))
    | ~ class_Ring__and__Field_Ofield(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1728]) ).

cnf(c_0_1728_1,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X4))
    | X2 = c_HOL_Ozero__class_Ozero(X4)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X2,X3,X4),tc_Polynomial_Opoly(X4))
    | ~ class_Ring__and__Field_Ofield(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1728]) ).

cnf(c_0_1728_2,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X2,X3,X4),tc_Polynomial_Opoly(X4))
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X4))
    | X2 = c_HOL_Ozero__class_Ozero(X4)
    | ~ class_Ring__and__Field_Ofield(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1728]) ).

cnf(c_0_1728_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X4)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X2,X3,X4),tc_Polynomial_Opoly(X4))
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X4))
    | X2 = c_HOL_Ozero__class_Ozero(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1728]) ).

cnf(c_0_1729_0,axiom,
    ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1729]) ).

cnf(c_0_1729_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1729]) ).

cnf(c_0_1729_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1729]) ).

cnf(c_0_1730_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2) = c_Divides_Odiv__class_Odiv(X3,X4,X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1730]) ).

cnf(c_0_1730_1,axiom,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2) = c_Divides_Odiv__class_Odiv(X3,X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1730]) ).

cnf(c_0_1730_2,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2) = c_Divides_Odiv__class_Odiv(X3,X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1730]) ).

cnf(c_0_1731_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2) = c_Divides_Odiv__class_Odiv(X3,X4,X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1731]) ).

cnf(c_0_1731_1,axiom,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2) = c_Divides_Odiv__class_Odiv(X3,X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1731]) ).

cnf(c_0_1731_2,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X4,X1,X2),X2) = c_Divides_Odiv__class_Odiv(X3,X4,X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1731]) ).

cnf(c_0_1732_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X4))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X3,X4),tc_Polynomial_Opoly(X4))
    | ~ class_Ring__and__Field_Ofield(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1732]) ).

cnf(c_0_1732_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X3,X4),tc_Polynomial_Opoly(X4))
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X4))
    | ~ class_Ring__and__Field_Ofield(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1732]) ).

cnf(c_0_1732_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X4)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X3,X4),tc_Polynomial_Opoly(X4))
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,tc_Polynomial_Opoly(X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1732]) ).

cnf(c_0_1733_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X4))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X3,X4),tc_Polynomial_Opoly(X4))
    | ~ class_Ring__and__Field_Ofield(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1733]) ).

cnf(c_0_1733_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X3,X4),tc_Polynomial_Opoly(X4))
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X4))
    | ~ class_Ring__and__Field_Ofield(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1733]) ).

cnf(c_0_1733_2,axiom,
    ( ~ class_Ring__and__Field_Ofield(X4)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Opoly__gcd(X2,X3,X4),tc_Polynomial_Opoly(X4))
    | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_1733]) ).

cnf(c_0_1734_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X2,X3),X4,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1734]) ).

cnf(c_0_1734_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X2,X3),X4,tc_Polynomial_Opoly(X3))
    | c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1734]) ).

cnf(c_0_1734_2,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X2,X3),X4,tc_Polynomial_Opoly(X3))
    | c_Ring__and__Field_Odvd__class_Odvd(X2,X4,tc_Polynomial_Opoly(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1734]) ).

cnf(c_0_1735_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_1735]) ).

cnf(c_0_1735_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_1735]) ).

cnf(c_0_1736_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_1736]) ).

cnf(c_0_1736_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_1736]) ).

cnf(c_0_1737_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_1737]) ).

cnf(c_0_1737_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_1737]) ).

cnf(c_0_1738_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_1738]) ).

cnf(c_0_1738_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_1738]) ).

cnf(c_0_1739_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_1739]) ).

cnf(c_0_1739_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_1739]) ).

cnf(c_0_1740_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_1740]) ).

cnf(c_0_1740_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_1740]) ).

cnf(c_0_1741_0,axiom,
    ( c_Polynomial_Opoly__gcd(X1,c_Polynomial_Opoly__gcd(X2,X3,X4),X4) = c_Polynomial_Opoly__gcd(X2,c_Polynomial_Opoly__gcd(X1,X3,X4),X4)
    | ~ class_Ring__and__Field_Ofield(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1741]) ).

cnf(c_0_1741_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X4)
    | c_Polynomial_Opoly__gcd(X1,c_Polynomial_Opoly__gcd(X2,X3,X4),X4) = c_Polynomial_Opoly__gcd(X2,c_Polynomial_Opoly__gcd(X1,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1741]) ).

cnf(c_0_1742_0,axiom,
    ( c_Polynomial_Opoly__gcd(c_Polynomial_Opoly__gcd(X1,X2,X3),X4,X3) = c_Polynomial_Opoly__gcd(X1,c_Polynomial_Opoly__gcd(X2,X4,X3),X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1742]) ).

cnf(c_0_1742_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_Polynomial_Opoly__gcd(c_Polynomial_Opoly__gcd(X1,X2,X3),X4,X3) = c_Polynomial_Opoly__gcd(X1,c_Polynomial_Opoly__gcd(X2,X4,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1742]) ).

cnf(c_0_1743_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_1743]) ).

cnf(c_0_1743_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_1743]) ).

cnf(c_0_1744_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_1744]) ).

cnf(c_0_1744_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_1744]) ).

cnf(c_0_1745_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_1745]) ).

cnf(c_0_1745_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_1745]) ).

cnf(c_0_1746_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_1746]) ).

cnf(c_0_1746_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_1746]) ).

cnf(c_0_1747_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_1747]) ).

cnf(c_0_1747_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_1747]) ).

cnf(c_0_1748_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_1748]) ).

cnf(c_0_1748_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_1748]) ).

cnf(c_0_1749_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_1749]) ).

cnf(c_0_1749_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_1749]) ).

cnf(c_0_1750_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_1750]) ).

cnf(c_0_1750_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_1750]) ).

cnf(c_0_1751_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_1751]) ).

cnf(c_0_1751_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_1751]) ).

cnf(c_0_1752_0,axiom,
    ( c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4) = c_Polynomial_Osmult(X1,c_Polynomial_Osmult(X2,X3,X4),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__0(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1752]) ).

cnf(c_0_1752_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0(X4)
    | c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4) = c_Polynomial_Osmult(X1,c_Polynomial_Osmult(X2,X3,X4),X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1752]) ).

cnf(c_0_1753_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),X1,X3) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3)
    | ~ class_OrderedGroup_Omonoid__mult(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1753]) ).

cnf(c_0_1753_1,axiom,
    ( ~ class_OrderedGroup_Omonoid__mult(X3)
    | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),X1,X3) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1753]) ).

cnf(c_0_1754_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_1754]) ).

cnf(c_0_1754_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_1754]) ).

cnf(c_0_1755_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_1755]) ).

cnf(c_0_1755_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_1755]) ).

cnf(c_0_1755_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_1755]) ).

cnf(c_0_1756_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_1756]) ).

cnf(c_0_1756_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_1756]) ).

cnf(c_0_1756_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_1756]) ).

cnf(c_0_1757_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_1757]) ).

cnf(c_0_1757_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_1757]) ).

cnf(c_0_1757_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_1757]) ).

cnf(c_0_1758_0,axiom,
    ( c_Divides_Odiv__class_Odiv(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) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Divides_Osemiring__div(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1758]) ).

cnf(c_0_1758_1,axiom,
    ( ~ class_Divides_Osemiring__div(X1)
    | c_Divides_Odiv__class_Odiv(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) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1758]) ).

cnf(c_0_1759_0,axiom,
    ( c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1759]) ).

cnf(c_0_1759_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1759]) ).

cnf(c_0_1760_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_1760]) ).

cnf(c_0_1760_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_1760]) ).

cnf(c_0_1761_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_1761]) ).

cnf(c_0_1761_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_1761]) ).

cnf(c_0_1762_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_1762]) ).

cnf(c_0_1762_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_1762]) ).

cnf(c_0_1762_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_1762]) ).

cnf(c_0_1762_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_1762]) ).

cnf(c_0_1762_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_1762]) ).

cnf(c_0_1763_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_1763]) ).

cnf(c_0_1763_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_1763]) ).

cnf(c_0_1763_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_1763]) ).

cnf(c_0_1763_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_1763]) ).

cnf(c_0_1763_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_1763]) ).

cnf(c_0_1764_0,axiom,
    ( c_Divides_Odiv__class_Odiv(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X1,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Divides_Oring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1764]) ).

cnf(c_0_1764_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Divides_Odiv__class_Odiv(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X1,X3),X3)
    | ~ class_Divides_Oring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1764]) ).

cnf(c_0_1764_2,axiom,
    ( ~ class_Divides_Oring__div(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Divides_Odiv__class_Odiv(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1764]) ).

cnf(c_0_1765_0,axiom,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X1,X3),X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Divides_Oring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1765]) ).

cnf(c_0_1765_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X1,X3),X3)
    | ~ class_Divides_Oring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1765]) ).

cnf(c_0_1765_2,axiom,
    ( ~ class_Divides_Oring__div(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X2,X3),X1,X3) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X1,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1765]) ).

cnf(c_0_1766_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_1766]) ).

cnf(c_0_1766_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_1766]) ).

cnf(c_0_1766_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_1766]) ).

cnf(c_0_1767_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X3,X2),X4,tc_Polynomial_Opoly(X2))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Polynomial_Opoly(X2))
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1767]) ).

cnf(c_0_1767_1,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X3,X2),X4,tc_Polynomial_Opoly(X2))
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Polynomial_Opoly(X2))
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1767]) ).

cnf(c_0_1767_2,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Polynomial_Opoly(X2))
    | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X3,X2),X4,tc_Polynomial_Opoly(X2))
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1767]) ).

cnf(c_0_1767_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Polynomial_Opoly(X2))
    | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X1,X3,X2),X4,tc_Polynomial_Opoly(X2))
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1767]) ).

cnf(c_0_1768_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Ring__and__Field_Odvd__class_Odvd(X3,c_Polynomial_Osmult(X1,X4,X2),tc_Polynomial_Opoly(X2))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Polynomial_Opoly(X2))
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1768]) ).

cnf(c_0_1768_1,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X3,c_Polynomial_Osmult(X1,X4,X2),tc_Polynomial_Opoly(X2))
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Polynomial_Opoly(X2))
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1768]) ).

cnf(c_0_1768_2,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Polynomial_Opoly(X2))
    | c_Ring__and__Field_Odvd__class_Odvd(X3,c_Polynomial_Osmult(X1,X4,X2),tc_Polynomial_Opoly(X2))
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ofield(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1768]) ).

cnf(c_0_1768_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X2)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,tc_Polynomial_Opoly(X2))
    | c_Ring__and__Field_Odvd__class_Odvd(X3,c_Polynomial_Osmult(X1,X4,X2),tc_Polynomial_Opoly(X2))
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1768]) ).

cnf(c_0_1769_0,axiom,
    ( X4 = c_HOL_Ozero__class_Ozero(X3)
    | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X4,X1,X3),X2,tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1769]) ).

cnf(c_0_1769_1,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X4,X1,X3),X2,tc_Polynomial_Opoly(X3))
    | X4 = c_HOL_Ozero__class_Ozero(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1769]) ).

cnf(c_0_1769_2,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X3))
    | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X4,X1,X3),X2,tc_Polynomial_Opoly(X3))
    | X4 = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1769]) ).

cnf(c_0_1769_3,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X3))
    | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(X4,X1,X3),X2,tc_Polynomial_Opoly(X3))
    | X4 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1769]) ).

cnf(c_0_1770_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X4,X2,X3),tc_Polynomial_Opoly(X3))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1770]) ).

cnf(c_0_1770_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X3))
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X4,X2,X3),tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1770]) ).

cnf(c_0_1770_2,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X3))
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X4,X2,X3),tc_Polynomial_Opoly(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1770]) ).

cnf(c_0_1771_0,axiom,
    ( c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3) = X2
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1771]) ).

cnf(c_0_1771_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3) = X2
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1771]) ).

cnf(c_0_1771_2,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X3),X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1771]) ).

cnf(c_0_1772_0,axiom,
    ( c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X3),X1,X3) = X2
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1772]) ).

cnf(c_0_1772_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X3),X1,X3) = X2
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1772]) ).

cnf(c_0_1772_2,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X3)
    | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X3),X1,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1772]) ).

cnf(c_0_1773_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_1773]) ).

cnf(c_0_1773_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_1773]) ).

cnf(c_0_1773_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_1773]) ).

cnf(c_0_1774_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_1774]) ).

cnf(c_0_1774_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_1774]) ).

cnf(c_0_1774_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_1774]) ).

cnf(c_0_1775_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X3,X2,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(literals_permutation,[status(thm)],[c_0_1775]) ).

cnf(c_0_1775_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | c_Ring__and__Field_Odvd__class_Odvd(X1,c_Polynomial_Osmult(X3,X2,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(literals_permutation,[status(thm)],[c_0_1775]) ).

cnf(c_0_1776_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_1776]) ).

cnf(c_0_1776_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_1776]) ).

cnf(c_0_1777_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_1777]) ).

cnf(c_0_1777_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_1777]) ).

cnf(c_0_1778_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_1778]) ).

cnf(c_0_1778_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_1778]) ).

cnf(c_0_1778_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_1778]) ).

cnf(c_0_1778_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_1778]) ).

cnf(c_0_1779_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_1779]) ).

cnf(c_0_1779_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_1779]) ).

cnf(c_0_1779_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_1779]) ).

cnf(c_0_1780_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_1780]) ).

cnf(c_0_1780_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_1780]) ).

cnf(c_0_1780_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_1780]) ).

cnf(c_0_1781_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_1781]) ).

cnf(c_0_1781_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_1781]) ).

cnf(c_0_1781_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_1781]) ).

cnf(c_0_1782_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_1782]) ).

cnf(c_0_1782_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_1782]) ).

cnf(c_0_1782_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_1782]) ).

cnf(c_0_1782_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_1782]) ).

cnf(c_0_1783_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_1783]) ).

cnf(c_0_1783_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_1783]) ).

cnf(c_0_1784_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_1784]) ).

cnf(c_0_1784_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_1784]) ).

cnf(c_0_1785_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_1785]) ).

cnf(c_0_1785_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_1785]) ).

cnf(c_0_1786_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_1786]) ).

cnf(c_0_1786_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_1786]) ).

cnf(c_0_1787_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_1787]) ).

cnf(c_0_1787_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_1787]) ).

cnf(c_0_1788_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_1788]) ).

cnf(c_0_1788_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_1788]) ).

cnf(c_0_1789_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_1789]) ).

cnf(c_0_1789_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_1789]) ).

cnf(c_0_1790_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_1790]) ).

cnf(c_0_1790_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_1790]) ).

cnf(c_0_1791_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_1791]) ).

cnf(c_0_1791_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_1791]) ).

cnf(c_0_1792_0,axiom,
    ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X3),X2,X3) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | ~ class_Ring__and__Field_Odivision__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1792]) ).

cnf(c_0_1792_1,axiom,
    ( ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X3),X2,X3) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Odivision__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1792]) ).

cnf(c_0_1792_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X3)
    | ~ class_Ring__and__Field_Odivision__by__zero(X3)
    | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X3),X2,X3) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1792]) ).

cnf(c_0_1793_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_1793]) ).

cnf(c_0_1793_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_1793]) ).

cnf(c_0_1793_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_1793]) ).

cnf(c_0_1794_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_1794]) ).

cnf(c_0_1794_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_1794]) ).

cnf(c_0_1794_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_1794]) ).

cnf(c_0_1795_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X2),X3,X2) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X3,X2),X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1795]) ).

cnf(c_0_1795_1,axiom,
    ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X2),X3,X2) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X3,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Odivision__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1795]) ).

cnf(c_0_1795_2,axiom,
    ( ~ class_Ring__and__Field_Odivision__ring(X2)
    | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X2),X3,X2) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X3,X2),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1795]) ).

cnf(c_0_1796_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_1796]) ).

cnf(c_0_1796_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_1796]) ).

cnf(c_0_1797_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_1797]) ).

cnf(c_0_1797_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_1797]) ).

cnf(c_0_1798_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_1798]) ).

cnf(c_0_1798_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_1798]) ).

cnf(c_0_1799_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_1799]) ).

cnf(c_0_1799_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_1799]) ).

cnf(c_0_1800_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_1800]) ).

cnf(c_0_1800_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_1800]) ).

cnf(c_0_1801_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_1801]) ).

cnf(c_0_1801_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_1801]) ).

cnf(c_0_1802_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_1802]) ).

cnf(c_0_1802_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_1802]) ).

cnf(c_0_1803_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_1803]) ).

cnf(c_0_1803_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_1803]) ).

cnf(c_0_1804_0,axiom,
    ( c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X3),X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1804]) ).

cnf(c_0_1804_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X3),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1804]) ).

cnf(c_0_1805_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_1805]) ).

cnf(c_0_1805_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_1805]) ).

cnf(c_0_1805_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_1805]) ).

cnf(c_0_1805_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_1805]) ).

cnf(c_0_1806_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_1806]) ).

cnf(c_0_1806_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_1806]) ).

cnf(c_0_1807_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_1807]) ).

cnf(c_0_1807_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_1807]) ).

cnf(c_0_1808_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_1808]) ).

cnf(c_0_1808_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_1808]) ).

cnf(c_0_1808_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_1808]) ).

cnf(c_0_1809_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_1809]) ).

cnf(c_0_1809_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_1809]) ).

cnf(c_0_1809_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_1809]) ).

cnf(c_0_1810_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_1810]) ).

cnf(c_0_1810_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_1810]) ).

cnf(c_0_1810_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_1810]) ).

cnf(c_0_1811_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_1811]) ).

cnf(c_0_1811_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_1811]) ).

cnf(c_0_1811_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_1811]) ).

cnf(c_0_1812_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_1812]) ).

cnf(c_0_1812_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_1812]) ).

cnf(c_0_1812_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_1812]) ).

cnf(c_0_1813_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_1813]) ).

cnf(c_0_1813_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_1813]) ).

cnf(c_0_1813_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_1813]) ).

cnf(c_0_1814_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_1814]) ).

cnf(c_0_1814_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_1814]) ).

cnf(c_0_1814_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_1814]) ).

cnf(c_0_1815_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_1815]) ).

cnf(c_0_1815_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_1815]) ).

cnf(c_0_1815_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_1815]) ).

cnf(c_0_1815_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_1815]) ).

cnf(c_0_1816_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1816]) ).

cnf(c_0_1816_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X1),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1816]) ).

cnf(c_0_1817_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_1817]) ).

cnf(c_0_1817_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_1817]) ).

cnf(c_0_1818_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_1818]) ).

cnf(c_0_1818_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_1818]) ).

cnf(c_0_1818_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_1818]) ).

cnf(c_0_1818_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_1818]) ).

cnf(c_0_1819_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_1819]) ).

cnf(c_0_1819_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_1819]) ).

cnf(c_0_1819_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_1819]) ).

cnf(c_0_1819_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_1819]) ).

cnf(c_0_1820_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_1820]) ).

cnf(c_0_1820_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_1820]) ).

cnf(c_0_1820_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_1820]) ).

cnf(c_0_1820_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_1820]) ).

cnf(c_0_1821_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_1821]) ).

cnf(c_0_1821_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_1821]) ).

cnf(c_0_1821_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_1821]) ).

cnf(c_0_1821_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_1821]) ).

cnf(c_0_1822_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_1822]) ).

cnf(c_0_1822_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_1822]) ).

cnf(c_0_1822_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_1822]) ).

cnf(c_0_1823_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_1823]) ).

cnf(c_0_1823_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_1823]) ).

cnf(c_0_1823_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_1823]) ).

cnf(c_0_1824_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_1824]) ).

cnf(c_0_1824_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_1824]) ).

cnf(c_0_1824_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_1824]) ).

cnf(c_0_1825_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_1825]) ).

cnf(c_0_1825_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_1825]) ).

cnf(c_0_1825_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_1825]) ).

cnf(c_0_1826_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_1826]) ).

cnf(c_0_1826_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_1826]) ).

cnf(c_0_1826_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_1826]) ).

cnf(c_0_1827_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_1827]) ).

cnf(c_0_1827_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_1827]) ).

cnf(c_0_1827_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_1827]) ).

cnf(c_0_1828_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_1828]) ).

cnf(c_0_1828_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_1828]) ).

cnf(c_0_1828_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_1828]) ).

cnf(c_0_1829_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_1829]) ).

cnf(c_0_1829_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_1829]) ).

cnf(c_0_1829_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_1829]) ).

cnf(c_0_1830_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1830]) ).

cnf(c_0_1830_1,axiom,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X1,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1830]) ).

cnf(c_0_1830_2,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Odiv(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_1830]) ).

cnf(c_0_1831_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X2),X1,X2) = X3
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1831]) ).

cnf(c_0_1831_1,axiom,
    ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1831]) ).

cnf(c_0_1831_2,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X2),X1,X2) = X3
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1831]) ).

cnf(c_0_1832_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X1,X2,X3),X1,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1832]) ).

cnf(c_0_1832_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X1,X2,X3),X1,tc_Polynomial_Opoly(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1832]) ).

cnf(c_0_1833_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X1,X2,X3),X2,tc_Polynomial_Opoly(X3))
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1833]) ).

cnf(c_0_1833_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(X1,X2,X3),X2,tc_Polynomial_Opoly(X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1833]) ).

cnf(c_0_1834_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_1834]) ).

cnf(c_0_1834_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_1834]) ).

cnf(c_0_1834_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_1834]) ).

cnf(c_0_1835_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_1835]) ).

cnf(c_0_1835_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_1835]) ).

cnf(c_0_1835_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_1835]) ).

cnf(c_0_1836_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_1836]) ).

cnf(c_0_1836_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_1836]) ).

cnf(c_0_1836_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_1836]) ).

cnf(c_0_1837_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_1837]) ).

cnf(c_0_1837_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_1837]) ).

cnf(c_0_1837_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_1837]) ).

cnf(c_0_1838_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_1838]) ).

cnf(c_0_1838_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_1838]) ).

cnf(c_0_1838_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_1838]) ).

cnf(c_0_1839_0,axiom,
    ( c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3)
    | ~ class_Divides_Osemiring__div(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1839]) ).

cnf(c_0_1839_1,axiom,
    ( ~ class_Divides_Osemiring__div(X3)
    | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X3),X2,X3) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1839]) ).

cnf(c_0_1840_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_1840]) ).

cnf(c_0_1840_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_1840]) ).

cnf(c_0_1841_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_1841]) ).

cnf(c_0_1841_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_1841]) ).

cnf(c_0_1842_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_1842]) ).

cnf(c_0_1842_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_1842]) ).

cnf(c_0_1843_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_1843]) ).

cnf(c_0_1843_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_1843]) ).

cnf(c_0_1844_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_1844]) ).

cnf(c_0_1844_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_1844]) ).

cnf(c_0_1845_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_1845]) ).

cnf(c_0_1845_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_1845]) ).

cnf(c_0_1846_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_1846]) ).

cnf(c_0_1846_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_1846]) ).

cnf(c_0_1847_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_1847]) ).

cnf(c_0_1847_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_1847]) ).

cnf(c_0_1848_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_1848]) ).

cnf(c_0_1848_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_1848]) ).

cnf(c_0_1849_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_1849]) ).

cnf(c_0_1849_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_1849]) ).

cnf(c_0_1850_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_1850]) ).

cnf(c_0_1850_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_1850]) ).

cnf(c_0_1851_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_1851]) ).

cnf(c_0_1851_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_1851]) ).

cnf(c_0_1851_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_1851]) ).

cnf(c_0_1852_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_1852]) ).

cnf(c_0_1852_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_1852]) ).

cnf(c_0_1852_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_1852]) ).

cnf(c_0_1853_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_1853]) ).

cnf(c_0_1853_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_1853]) ).

cnf(c_0_1853_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_1853]) ).

cnf(c_0_1854_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_1854]) ).

cnf(c_0_1854_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_1854]) ).

cnf(c_0_1855_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_1855]) ).

cnf(c_0_1855_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_1855]) ).

cnf(c_0_1856_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_1856]) ).

cnf(c_0_1856_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_1856]) ).

cnf(c_0_1857_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_1857]) ).

cnf(c_0_1857_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_1857]) ).

cnf(c_0_1858_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_1858]) ).

cnf(c_0_1858_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_1858]) ).

cnf(c_0_1859_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_1859]) ).

cnf(c_0_1859_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_1859]) ).

cnf(c_0_1860_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(literals_permutation,[status(thm)],[c_0_1860]) ).

cnf(c_0_1860_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(literals_permutation,[status(thm)],[c_0_1860]) ).

cnf(c_0_1861_0,axiom,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(literals_permutation,[status(thm)],[c_0_1861]) ).

cnf(c_0_1861_1,axiom,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(literals_permutation,[status(thm)],[c_0_1861]) ).

cnf(c_0_1862_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1862]) ).

cnf(c_0_1862_1,axiom,
    ( c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Power_Opower(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1862]) ).

cnf(c_0_1862_2,axiom,
    ( ~ class_Power_Opower(X2)
    | c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1862]) ).

cnf(c_0_1862_3,axiom,
    ( ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Power_Opower(X2)
    | c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1862]) ).

cnf(c_0_1862_4,axiom,
    ( ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Power_Opower(X2)
    | c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1862]) ).

cnf(c_0_1862_5,axiom,
    ( ~ class_Ring__and__Field_Ozero__neq__one(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2)
    | ~ class_Power_Opower(X2)
    | c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1862]) ).

cnf(c_0_1863_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_1863]) ).

cnf(c_0_1863_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_1863]) ).

cnf(c_0_1864_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_1864]) ).

cnf(c_0_1864_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_1864]) ).

cnf(c_0_1865_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_1865]) ).

cnf(c_0_1865_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_1865]) ).

cnf(c_0_1866_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_1866]) ).

cnf(c_0_1866_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_1866]) ).

cnf(c_0_1867_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_1867]) ).

cnf(c_0_1867_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_1867]) ).

cnf(c_0_1868_0,axiom,
    ( c_Polynomial_Opoly__gcd(X1,X2,X3) = c_Polynomial_Opoly__gcd(X2,X1,X3)
    | ~ class_Ring__and__Field_Ofield(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1868]) ).

cnf(c_0_1868_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X3)
    | c_Polynomial_Opoly__gcd(X1,X2,X3) = c_Polynomial_Opoly__gcd(X2,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1868]) ).

cnf(c_0_1869_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_1869]) ).

cnf(c_0_1869_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_1869]) ).

cnf(c_0_1869_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_1869]) ).

cnf(c_0_1870_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_1870]) ).

cnf(c_0_1870_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_1870]) ).

cnf(c_0_1870_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_1870]) ).

cnf(c_0_1871_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_1871]) ).

cnf(c_0_1871_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_1871]) ).

cnf(c_0_1871_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_1871]) ).

cnf(c_0_1872_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_1872]) ).

cnf(c_0_1872_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_1872]) ).

cnf(c_0_1873_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_1873]) ).

cnf(c_0_1873_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_1873]) ).

cnf(c_0_1873_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_1873]) ).

cnf(c_0_1873_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_1873]) ).

cnf(c_0_1874_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_1874]) ).

cnf(c_0_1874_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_1874]) ).

cnf(c_0_1874_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_1874]) ).

cnf(c_0_1874_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_1874]) ).

cnf(c_0_1875_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_1875]) ).

cnf(c_0_1875_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_1875]) ).

cnf(c_0_1875_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_1875]) ).

cnf(c_0_1875_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_1875]) ).

cnf(c_0_1876_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_1876]) ).

cnf(c_0_1876_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_1876]) ).

cnf(c_0_1876_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_1876]) ).

cnf(c_0_1876_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_1876]) ).

cnf(c_0_1877_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_1877]) ).

cnf(c_0_1877_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_1877]) ).

cnf(c_0_1877_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_1877]) ).

cnf(c_0_1878_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_1878]) ).

cnf(c_0_1878_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_1878]) ).

cnf(c_0_1878_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_1878]) ).

cnf(c_0_1878_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_1878]) ).

cnf(c_0_1879_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_1879]) ).

cnf(c_0_1879_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_1879]) ).

cnf(c_0_1879_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_1879]) ).

cnf(c_0_1879_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_1879]) ).

cnf(c_0_1880_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_1880]) ).

cnf(c_0_1880_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_1880]) ).

cnf(c_0_1880_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_1880]) ).

cnf(c_0_1881_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_1881]) ).

cnf(c_0_1881_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_1881]) ).

cnf(c_0_1881_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_1881]) ).

cnf(c_0_1882_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1882]) ).

cnf(c_0_1882_1,axiom,
    ( c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1882]) ).

cnf(c_0_1882_2,axiom,
    ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X2)
    | c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1882]) ).

cnf(c_0_1883_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_1883]) ).

cnf(c_0_1883_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_1883]) ).

cnf(c_0_1883_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_1883]) ).

cnf(c_0_1884_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_1884]) ).

cnf(c_0_1884_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_1884]) ).

cnf(c_0_1884_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_1884]) ).

cnf(c_0_1885_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_1885]) ).

cnf(c_0_1885_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_1885]) ).

cnf(c_0_1885_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_1885]) ).

cnf(c_0_1886_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_1886]) ).

cnf(c_0_1886_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_1886]) ).

cnf(c_0_1886_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_1886]) ).

cnf(c_0_1887_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_1887]) ).

cnf(c_0_1887_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_1887]) ).

cnf(c_0_1887_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_1887]) ).

cnf(c_0_1888_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_1888]) ).

cnf(c_0_1888_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_1888]) ).

cnf(c_0_1888_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_1888]) ).

cnf(c_0_1889_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_1889]) ).

cnf(c_0_1889_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_1889]) ).

cnf(c_0_1889_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_1889]) ).

cnf(c_0_1890_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_1890]) ).

cnf(c_0_1890_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_1890]) ).

cnf(c_0_1890_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_1890]) ).

cnf(c_0_1891_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_1891]) ).

cnf(c_0_1891_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_1891]) ).

cnf(c_0_1891_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_1891]) ).

cnf(c_0_1892_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_1892]) ).

cnf(c_0_1892_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_1892]) ).

cnf(c_0_1893_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_1893]) ).

cnf(c_0_1893_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_1893]) ).

cnf(c_0_1894_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_1894]) ).

cnf(c_0_1894_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_1894]) ).

cnf(c_0_1895_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_1895]) ).

cnf(c_0_1895_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_1895]) ).

cnf(c_0_1896_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_1896]) ).

cnf(c_0_1896_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_1896]) ).

cnf(c_0_1896_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_1896]) ).

cnf(c_0_1897_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_1897]) ).

cnf(c_0_1897_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_1897]) ).

cnf(c_0_1897_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_1897]) ).

cnf(c_0_1898_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_1898]) ).

cnf(c_0_1898_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_1898]) ).

cnf(c_0_1898_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_1898]) ).

cnf(c_0_1899_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_1899]) ).

cnf(c_0_1899_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_1899]) ).

cnf(c_0_1900_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_1900]) ).

cnf(c_0_1900_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_1900]) ).

cnf(c_0_1901_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_1901]) ).

cnf(c_0_1901_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_1901]) ).

cnf(c_0_1901_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_1901]) ).

cnf(c_0_1902_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_1902]) ).

cnf(c_0_1902_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_1902]) ).

cnf(c_0_1902_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_1902]) ).

cnf(c_0_1903_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_1903]) ).

cnf(c_0_1903_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_1903]) ).

cnf(c_0_1903_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_1903]) ).

cnf(c_0_1904_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_1904]) ).

cnf(c_0_1904_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_1904]) ).

cnf(c_0_1904_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_1904]) ).

cnf(c_0_1904_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_1904]) ).

cnf(c_0_1905_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_1905]) ).

cnf(c_0_1905_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_1905]) ).

cnf(c_0_1906_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_1906]) ).

cnf(c_0_1906_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_1906]) ).

cnf(c_0_1906_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_1906]) ).

cnf(c_0_1907_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_1907]) ).

cnf(c_0_1907_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_1907]) ).

cnf(c_0_1907_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_1907]) ).

cnf(c_0_1908_0,axiom,
    ( c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1908]) ).

cnf(c_0_1908_1,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1908]) ).

cnf(c_0_1909_0,axiom,
    ( c_Divides_Odiv__class_Odiv(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_1909]) ).

cnf(c_0_1909_1,axiom,
    ( ~ class_Divides_Osemiring__div(X1)
    | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1909]) ).

cnf(c_0_1910_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_1910]) ).

cnf(c_0_1910_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_1910]) ).

cnf(c_0_1911_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_1911]) ).

cnf(c_0_1911_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_1911]) ).

cnf(c_0_1912_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_1912]) ).

cnf(c_0_1912_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_1912]) ).

cnf(c_0_1913_0,axiom,
    ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1) = c_HOL_Oone__class_Oone(X1)
    | ~ class_OrderedGroup_Omonoid__mult(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1913]) ).

cnf(c_0_1913_1,axiom,
    ( ~ class_OrderedGroup_Omonoid__mult(X1)
    | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X1),X2,X1) = c_HOL_Oone__class_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1913]) ).

cnf(c_0_1914_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_1914]) ).

cnf(c_0_1914_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_1914]) ).

cnf(c_0_1915_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_1915]) ).

cnf(c_0_1915_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_1915]) ).

cnf(c_0_1916_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_1916]) ).

cnf(c_0_1916_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_1916]) ).

cnf(c_0_1917_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_1917]) ).

cnf(c_0_1917_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_1917]) ).

cnf(c_0_1918_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_1918]) ).

cnf(c_0_1918_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_1918]) ).

cnf(c_0_1919_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_1919]) ).

cnf(c_0_1919_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_1919]) ).

cnf(c_0_1920_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_1920]) ).

cnf(c_0_1920_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_1920]) ).

cnf(c_0_1921_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_1921]) ).

cnf(c_0_1921_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_1921]) ).

cnf(c_0_1922_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_1922]) ).

cnf(c_0_1922_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_1922]) ).

cnf(c_0_1923_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_1923]) ).

cnf(c_0_1923_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_1923]) ).

cnf(c_0_1924_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_1924]) ).

cnf(c_0_1924_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_1924]) ).

cnf(c_0_1925_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_1925]) ).

cnf(c_0_1925_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_1925]) ).

cnf(c_0_1926_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_1926]) ).

cnf(c_0_1926_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_1926]) ).

cnf(c_0_1926_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_1926]) ).

cnf(c_0_1927_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_1927]) ).

cnf(c_0_1927_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_1927]) ).

cnf(c_0_1927_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_1927]) ).

cnf(c_0_1928_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_Divides_Odiv__class_Odiv(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1928]) ).

cnf(c_0_1928_1,axiom,
    ( c_Divides_Odiv__class_Odiv(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1928]) ).

cnf(c_0_1928_2,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Odiv(X1,X1,X2) = c_HOL_Oone__class_Oone(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1928]) ).

cnf(c_0_1929_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_1929]) ).

cnf(c_0_1929_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_1929]) ).

cnf(c_0_1930_0,axiom,
    ( c_Polynomial_Osmult(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1930]) ).

cnf(c_0_1930_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | c_Polynomial_Osmult(c_HOL_Oone__class_Oone(X1),X2,X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1930]) ).

cnf(c_0_1931_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_1931]) ).

cnf(c_0_1931_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_1931]) ).

cnf(c_0_1932_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_1932]) ).

cnf(c_0_1932_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_1932]) ).

cnf(c_0_1933_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_1933]) ).

cnf(c_0_1933_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_1933]) ).

cnf(c_0_1934_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_1934]) ).

cnf(c_0_1934_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_1934]) ).

cnf(c_0_1935_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_1935]) ).

cnf(c_0_1935_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_1935]) ).

cnf(c_0_1936_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_1936]) ).

cnf(c_0_1936_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_1936]) ).

cnf(c_0_1937_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_1937]) ).

cnf(c_0_1937_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_1937]) ).

cnf(c_0_1938_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_1938]) ).

cnf(c_0_1938_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_1938]) ).

cnf(c_0_1939_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_1939]) ).

cnf(c_0_1939_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_1939]) ).

cnf(c_0_1940_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_1940]) ).

cnf(c_0_1940_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_1940]) ).

cnf(c_0_1941_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_1941]) ).

cnf(c_0_1941_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_1941]) ).

cnf(c_0_1942_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_1942]) ).

cnf(c_0_1942_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_1942]) ).

cnf(c_0_1943_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_1943]) ).

cnf(c_0_1943_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_1943]) ).

cnf(c_0_1944_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_1944]) ).

cnf(c_0_1944_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_1944]) ).

cnf(c_0_1945_0,axiom,
    ( c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
    | ~ class_Divides_Osemiring__div(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1945]) ).

cnf(c_0_1945_1,axiom,
    ( ~ class_Divides_Osemiring__div(X2)
    | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X2),X2) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_1945]) ).

cnf(c_0_1946_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_1946]) ).

cnf(c_0_1946_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_1946]) ).

cnf(c_0_1947_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_1947]) ).

cnf(c_0_1947_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_1947]) ).

cnf(c_0_1948_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_1948]) ).

cnf(c_0_1948_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_1948]) ).

cnf(c_0_1949_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_1949]) ).

cnf(c_0_1949_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_1949]) ).

cnf(c_0_1950_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_1950]) ).

cnf(c_0_1950_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_1950]) ).

cnf(c_0_1951_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_1951]) ).

cnf(c_0_1951_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_1951]) ).

cnf(c_0_1952_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_1952]) ).

cnf(c_0_1952_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_1952]) ).

cnf(c_0_1953_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_1953]) ).

cnf(c_0_1953_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_1953]) ).

cnf(c_0_1953_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_1953]) ).

cnf(c_0_1953_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_1953]) ).

cnf(c_0_1953_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_1953]) ).

cnf(c_0_1954_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_1954]) ).

cnf(c_0_1954_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_1954]) ).

cnf(c_0_1955_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_1955]) ).

cnf(c_0_1955_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_1955]) ).

cnf(c_0_1956_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_1956]) ).

cnf(c_0_1956_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_1956]) ).

cnf(c_0_1957_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_1957]) ).

cnf(c_0_1957_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_1957]) ).

cnf(c_0_1958_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_1958]) ).

cnf(c_0_1958_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_1958]) ).

cnf(c_0_1958_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_1958]) ).

cnf(c_0_1958_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_1958]) ).

cnf(c_0_1959_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_1959]) ).

cnf(c_0_1959_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_1959]) ).

cnf(c_0_1959_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_1959]) ).

cnf(c_0_1960_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_1960]) ).

cnf(c_0_1960_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_1960]) ).

cnf(c_0_1960_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_1960]) ).

cnf(c_0_1961_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_1961]) ).

cnf(c_0_1961_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_1961]) ).

cnf(c_0_1961_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_1961]) ).

cnf(c_0_1962_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_1962]) ).

cnf(c_0_1962_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_1962]) ).

cnf(c_0_1962_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_1962]) ).

cnf(c_0_1963_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_1963]) ).

cnf(c_0_1963_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_1963]) ).

cnf(c_0_1963_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_1963]) ).

cnf(c_0_1963_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_1963]) ).

cnf(c_0_1964_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_1964]) ).

cnf(c_0_1964_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_1964]) ).

cnf(c_0_1964_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_1964]) ).

cnf(c_0_1964_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_1964]) ).

cnf(c_0_1965_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_1965]) ).

cnf(c_0_1965_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_1965]) ).

cnf(c_0_1966_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_1966]) ).

cnf(c_0_1966_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_1966]) ).

cnf(c_0_1967_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_1967]) ).

cnf(c_0_1967_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_1967]) ).

cnf(c_0_1968_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_1968]) ).

cnf(c_0_1968_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_1968]) ).

cnf(c_0_1969_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_1969]) ).

cnf(c_0_1969_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_1969]) ).

cnf(c_0_1970_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_1970]) ).

cnf(c_0_1970_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_1970]) ).

cnf(c_0_1970_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_1970]) ).

cnf(c_0_1971_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_1971]) ).

cnf(c_0_1971_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_1971]) ).

cnf(c_0_1971_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_1971]) ).

cnf(c_0_1972_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_1972]) ).

cnf(c_0_1972_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_1972]) ).

cnf(c_0_1972_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_1972]) ).

cnf(c_0_1973_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_1973]) ).

cnf(c_0_1973_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_1973]) ).

cnf(c_0_1973_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_1973]) ).

cnf(c_0_1974_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_1974]) ).

cnf(c_0_1974_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_1974]) ).

cnf(c_0_1974_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_1974]) ).

cnf(c_0_1975_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_1975]) ).

cnf(c_0_1975_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_1975]) ).

cnf(c_0_1975_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_1975]) ).

cnf(c_0_1976_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_1976]) ).

cnf(c_0_1976_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_1976]) ).

cnf(c_0_1976_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_1976]) ).

cnf(c_0_1977_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_1977]) ).

cnf(c_0_1977_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_1977]) ).

cnf(c_0_1978_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_1978]) ).

cnf(c_0_1978_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_1978]) ).

cnf(c_0_1979_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_1979]) ).

cnf(c_0_1979_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_1979]) ).

cnf(c_0_1980_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_1980]) ).

cnf(c_0_1980_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_1980]) ).

cnf(c_0_1981_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_1981]) ).

cnf(c_0_1981_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_1981]) ).

cnf(c_0_1982_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_1982]) ).

cnf(c_0_1982_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_1982]) ).

cnf(c_0_1983_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_1983]) ).

cnf(c_0_1983_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_1983]) ).

cnf(c_0_1984_0,axiom,
    ( c_HOL_Ozero__class_Ozero(X1) != c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1984]) ).

cnf(c_0_1984_1,axiom,
    ( ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | c_HOL_Ozero__class_Ozero(X1) != c_HOL_Oone__class_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1984]) ).

cnf(c_0_1985_0,axiom,
    ( c_HOL_Ozero__class_Ozero(X1) != c_HOL_Oone__class_Oone(X1)
    | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1985]) ).

cnf(c_0_1985_1,axiom,
    ( ~ class_Ring__and__Field_Ozero__neq__one(X1)
    | c_HOL_Ozero__class_Ozero(X1) != c_HOL_Oone__class_Oone(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1985]) ).

cnf(c_0_1986_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_1986]) ).

cnf(c_0_1986_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_1986]) ).

cnf(c_0_1987_0,axiom,
    ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1987]) ).

cnf(c_0_1987_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1987]) ).

cnf(c_0_1988_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_1988]) ).

cnf(c_0_1988_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_1988]) ).

cnf(c_0_1989_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_1989]) ).

cnf(c_0_1989_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_1989]) ).

cnf(c_0_1990_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_1990]) ).

cnf(c_0_1990_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_1990]) ).

cnf(c_0_1991_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_1991]) ).

cnf(c_0_1991_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_1991]) ).

cnf(c_0_1992_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_1992]) ).

cnf(c_0_1992_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_1992]) ).

cnf(c_0_1993_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_1993]) ).

cnf(c_0_1993_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_1993]) ).

cnf(c_0_1994_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_1994]) ).

cnf(c_0_1994_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_1994]) ).

cnf(c_0_1995_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_1995]) ).

cnf(c_0_1995_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_1995]) ).

cnf(c_0_1996_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_1996]) ).

cnf(c_0_1996_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_1996]) ).

cnf(c_0_1997_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_1997]) ).

cnf(c_0_1997_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_1997]) ).

cnf(c_0_1998_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_1998]) ).

cnf(c_0_1998_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_1998]) ).

cnf(c_0_1999_0,axiom,
    ( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1999]) ).

cnf(c_0_1999_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1999]) ).

cnf(c_0_2000_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_2000]) ).

cnf(c_0_2000_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_2000]) ).

cnf(c_0_2001_0,axiom,
    ( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2001]) ).

cnf(c_0_2001_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2001]) ).

cnf(c_0_2002_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_2002]) ).

cnf(c_0_2002_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_2002]) ).

cnf(c_0_2003_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_2003]) ).

cnf(c_0_2003_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_2003]) ).

cnf(c_0_2004_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_2004]) ).

cnf(c_0_2004_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_2004]) ).

cnf(c_0_2005_0,axiom,
    ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2005]) ).

cnf(c_0_2005_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2005]) ).

cnf(c_0_2006_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_2006]) ).

cnf(c_0_2006_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_2006]) ).

cnf(c_0_2007_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_2007]) ).

cnf(c_0_2007_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_2007]) ).

cnf(c_0_2008_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_2008]) ).

cnf(c_0_2008_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_2008]) ).

cnf(c_0_2009_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_2009]) ).

cnf(c_0_2009_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_2009]) ).

cnf(c_0_2010_0,axiom,
    ( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2010]) ).

cnf(c_0_2010_1,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
    | class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2010]) ).

cnf(c_0_2011_0,axiom,
    ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X1))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2011]) ).

cnf(c_0_2011_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2011]) ).

cnf(c_0_2012_0,axiom,
    ( class_Ring__and__Field_Oring__1(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2012]) ).

cnf(c_0_2012_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
    | class_Ring__and__Field_Oring__1(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2012]) ).

cnf(c_0_2013_0,axiom,
    ( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2013]) ).

cnf(c_0_2013_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_Divides_Osemiring__div(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2013]) ).

cnf(c_0_2014_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_2014]) ).

cnf(c_0_2014_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_2014]) ).

cnf(c_0_2015_0,axiom,
    ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2015]) ).

cnf(c_0_2015_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2015]) ).

cnf(c_0_2016_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_2016]) ).

cnf(c_0_2016_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_2016]) ).

cnf(c_0_2017_0,axiom,
    ( class_Divides_Oring__div(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2017]) ).

cnf(c_0_2017_1,axiom,
    ( ~ class_Ring__and__Field_Ofield(X1)
    | class_Divides_Oring__div(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2017]) ).

cnf(c_0_2018_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_2018]) ).

cnf(c_0_2018_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_2018]) ).

cnf(c_0_2019_0,axiom,
    ( class_Power_Opower(tc_Polynomial_Opoly(X1))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2019]) ).

cnf(c_0_2019_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | class_Power_Opower(tc_Polynomial_Opoly(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2019]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_376,negated_conjecture,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    file('<stdin>',cls_conjecture_0) ).

fof(c_0_1_377,negated_conjecture,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    file('<stdin>',cls_conjecture_1) ).

fof(c_0_2_378,negated_conjecture,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_3_379,negated_conjecture,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    c_0_1 ).

fof(c_0_4_380,negated_conjecture,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    c_0_2 ).

fof(c_0_5_381,negated_conjecture,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    c_0_3 ).

cnf(c_0_6_382,negated_conjecture,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7_383,negated_conjecture,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8_384,negated_conjecture,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    c_0_6,
    [final] ).

cnf(c_0_9_385,negated_conjecture,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    c_0_7,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_668,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_1ca366.p',c_0_1860_1) ).

cnf(c_670,plain,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_1ca366.p',c_0_1861_1) ).

cnf(c_1127,negated_conjecture,
    ( ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_1ca366.p',c_0_8) ).

cnf(c_1128,negated_conjecture,
    ( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
    | c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_1ca366.p',c_0_9) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_668,c_670,c_1127,c_1128]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : ALG436-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12  % Command  : iprover_modulo %s %d
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun  8 09:45:06 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % Running in mono-core mode
% 0.20/0.47  % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.47  % Orientation found
% 0.20/0.47  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_63c6c4.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_1ca366.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_a6d63e | grep -v "SZS"
% 0.20/0.49  
% 0.20/0.49  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.49  
% 0.20/0.49  % 
% 0.20/0.49  % ------  iProver source info 
% 0.20/0.49  
% 0.20/0.49  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.49  % git: non_committed_changes: true
% 0.20/0.49  % git: last_make_outside_of_git: true
% 0.20/0.49  
% 0.20/0.49  % 
% 0.20/0.49  % ------ Input Options
% 0.20/0.49  
% 0.20/0.49  % --out_options                         all
% 0.20/0.49  % --tptp_safe_out                       true
% 0.20/0.49  % --problem_path                        ""
% 0.20/0.49  % --include_path                        ""
% 0.20/0.49  % --clausifier                          .//eprover
% 0.20/0.49  % --clausifier_options                  --tstp-format  
% 0.20/0.49  % --stdin                               false
% 0.20/0.49  % --dbg_backtrace                       false
% 0.20/0.49  % --dbg_dump_prop_clauses               false
% 0.20/0.49  % --dbg_dump_prop_clauses_file          -
% 0.20/0.49  % --dbg_out_stat                        false
% 0.20/0.49  
% 0.20/0.49  % ------ General Options
% 0.20/0.49  
% 0.20/0.49  % --fof                                 false
% 0.20/0.49  % --time_out_real                       150.
% 0.20/0.49  % --time_out_prep_mult                  0.2
% 0.20/0.49  % --time_out_virtual                    -1.
% 0.20/0.49  % --schedule                            none
% 0.20/0.49  % --ground_splitting                    input
% 0.20/0.49  % --splitting_nvd                       16
% 0.20/0.49  % --non_eq_to_eq                        false
% 0.20/0.49  % --prep_gs_sim                         true
% 0.20/0.49  % --prep_unflatten                      false
% 0.20/0.49  % --prep_res_sim                        true
% 0.20/0.49  % --prep_upred                          true
% 0.20/0.49  % --res_sim_input                       true
% 0.20/0.49  % --clause_weak_htbl                    true
% 0.20/0.49  % --gc_record_bc_elim                   false
% 0.20/0.49  % --symbol_type_check                   false
% 0.20/0.49  % --clausify_out                        false
% 0.20/0.49  % --large_theory_mode                   false
% 0.20/0.49  % --prep_sem_filter                     none
% 0.20/0.49  % --prep_sem_filter_out                 false
% 0.20/0.49  % --preprocessed_out                    false
% 0.20/0.49  % --sub_typing                          false
% 0.20/0.49  % --brand_transform                     false
% 0.20/0.49  % --pure_diseq_elim                     true
% 0.20/0.49  % --min_unsat_core                      false
% 0.20/0.49  % --pred_elim                           true
% 0.20/0.49  % --add_important_lit                   false
% 0.20/0.49  % --soft_assumptions                    false
% 0.20/0.49  % --reset_solvers                       false
% 0.20/0.49  % --bc_imp_inh                          []
% 0.20/0.49  % --conj_cone_tolerance                 1.5
% 0.20/0.49  % --prolific_symb_bound                 500
% 0.20/0.49  % --lt_threshold                        2000
% 0.20/0.49  
% 0.20/0.49  % ------ SAT Options
% 0.20/0.49  
% 0.20/0.49  % --sat_mode                            false
% 0.20/0.49  % --sat_fm_restart_options              ""
% 0.20/0.49  % --sat_gr_def                          false
% 0.20/0.49  % --sat_epr_types                       true
% 0.20/0.49  % --sat_non_cyclic_types                false
% 0.20/0.49  % --sat_finite_models                   false
% 0.20/0.49  % --sat_fm_lemmas                       false
% 0.20/0.49  % --sat_fm_prep                         false
% 0.20/0.49  % --sat_fm_uc_incr                      true
% 0.20/0.49  % --sat_out_model                       small
% 0.20/0.49  % --sat_out_clauses                     false
% 0.20/0.49  
% 0.20/0.49  % ------ QBF Options
% 0.20/0.49  
% 0.20/0.49  % --qbf_mode                            false
% 0.20/0.49  % --qbf_elim_univ                       true
% 0.20/0.49  % --qbf_sk_in                           true
% 0.20/0.49  % --qbf_pred_elim                       true
% 0.20/0.49  % --qbf_split                           32
% 0.20/0.49  
% 0.20/0.49  % ------ BMC1 Options
% 0.20/0.49  
% 0.20/0.49  % --bmc1_incremental                    false
% 0.20/0.49  % --bmc1_axioms                         reachable_all
% 0.20/0.49  % --bmc1_min_bound                      0
% 0.20/0.49  % --bmc1_max_bound                      -1
% 0.20/0.49  % --bmc1_max_bound_default              -1
% 0.20/0.49  % --bmc1_symbol_reachability            true
% 0.20/0.49  % --bmc1_property_lemmas                false
% 0.20/0.49  % --bmc1_k_induction                    false
% 0.20/0.49  % --bmc1_non_equiv_states               false
% 0.20/0.49  % --bmc1_deadlock                       false
% 0.20/0.49  % --bmc1_ucm                            false
% 0.20/0.49  % --bmc1_add_unsat_core                 none
% 0.20/0.49  % --bmc1_unsat_core_children            false
% 0.20/0.49  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.49  % --bmc1_out_stat                       full
% 0.20/0.49  % --bmc1_ground_init                    false
% 0.20/0.49  % --bmc1_pre_inst_next_state            false
% 0.20/0.49  % --bmc1_pre_inst_state                 false
% 0.20/0.49  % --bmc1_pre_inst_reach_state           false
% 0.20/0.49  % --bmc1_out_unsat_core                 false
% 0.20/0.49  % --bmc1_aig_witness_out                false
% 0.20/0.49  % --bmc1_verbose                        false
% 0.20/0.49  % --bmc1_dump_clauses_tptp              false
% 0.20/0.58  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.58  % --bmc1_dump_file                      -
% 0.20/0.58  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.58  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.58  % --bmc1_ucm_extend_mode                1
% 0.20/0.58  % --bmc1_ucm_init_mode                  2
% 0.20/0.58  % --bmc1_ucm_cone_mode                  none
% 0.20/0.58  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.58  % --bmc1_ucm_relax_model                4
% 0.20/0.58  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.58  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.58  % --bmc1_ucm_layered_model              none
% 0.20/0.58  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.58  
% 0.20/0.58  % ------ AIG Options
% 0.20/0.58  
% 0.20/0.58  % --aig_mode                            false
% 0.20/0.58  
% 0.20/0.58  % ------ Instantiation Options
% 0.20/0.58  
% 0.20/0.58  % --instantiation_flag                  true
% 0.20/0.58  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.58  % --inst_solver_per_active              750
% 0.20/0.58  % --inst_solver_calls_frac              0.5
% 0.20/0.58  % --inst_passive_queue_type             priority_queues
% 0.20/0.58  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.58  % --inst_passive_queues_freq            [25;2]
% 0.20/0.58  % --inst_dismatching                    true
% 0.20/0.58  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.58  % --inst_prop_sim_given                 true
% 0.20/0.58  % --inst_prop_sim_new                   false
% 0.20/0.58  % --inst_orphan_elimination             true
% 0.20/0.58  % --inst_learning_loop_flag             true
% 0.20/0.58  % --inst_learning_start                 3000
% 0.20/0.58  % --inst_learning_factor                2
% 0.20/0.58  % --inst_start_prop_sim_after_learn     3
% 0.20/0.58  % --inst_sel_renew                      solver
% 0.20/0.58  % --inst_lit_activity_flag              true
% 0.20/0.58  % --inst_out_proof                      true
% 0.20/0.58  
% 0.20/0.58  % ------ Resolution Options
% 0.20/0.58  
% 0.20/0.58  % --resolution_flag                     true
% 0.20/0.58  % --res_lit_sel                         kbo_max
% 0.20/0.58  % --res_to_prop_solver                  none
% 0.20/0.58  % --res_prop_simpl_new                  false
% 0.20/0.58  % --res_prop_simpl_given                false
% 0.20/0.58  % --res_passive_queue_type              priority_queues
% 0.20/0.58  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.58  % --res_passive_queues_freq             [15;5]
% 0.20/0.58  % --res_forward_subs                    full
% 0.20/0.58  % --res_backward_subs                   full
% 0.20/0.58  % --res_forward_subs_resolution         true
% 0.20/0.58  % --res_backward_subs_resolution        true
% 0.20/0.58  % --res_orphan_elimination              false
% 0.20/0.58  % --res_time_limit                      1000.
% 0.20/0.58  % --res_out_proof                       true
% 0.20/0.58  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_63c6c4.s
% 0.20/0.58  % --modulo                              true
% 0.20/0.58  
% 0.20/0.58  % ------ Combination Options
% 0.20/0.58  
% 0.20/0.58  % --comb_res_mult                       1000
% 0.20/0.58  % --comb_inst_mult                      300
% 0.20/0.58  % ------ 
% 0.20/0.58  
% 0.20/0.58  % ------ Parsing...% successful
% 0.20/0.58  
% 0.20/0.58  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 0.20/0.58  
% 0.20/0.58  
% 0.20/0.58  % ------                             Statistics
% 0.20/0.58  
% 0.20/0.58  % ------ General
% 0.20/0.58  
% 0.20/0.58  % num_of_input_clauses:                 1129
% 0.20/0.58  % num_of_input_neg_conjectures:         2
% 0.20/0.58  % num_of_splits:                        0
% 0.20/0.58  % num_of_split_atoms:                   0
% 0.20/0.58  % num_of_sem_filtered_clauses:          0
% 0.20/0.58  % num_of_subtypes:                      0
% 0.20/0.58  % monotx_restored_types:                0
% 0.20/0.58  % sat_num_of_epr_types:                 0
% 0.20/0.58  % sat_num_of_non_cyclic_types:          0
% 0.20/0.58  % sat_guarded_non_collapsed_types:      0
% 0.20/0.58  % is_epr:                               0
% 0.20/0.58  % is_horn:                              0
% 0.20/0.58  % has_eq:                               0
% 0.20/0.58  % num_pure_diseq_elim:                  0
% 0.20/0.58  % simp_replaced_by:                     0
% 0.20/0.58  % res_preprocessed:                     0
% 0.20/0.58  % prep_upred:                           0
% 0.20/0.58  % prep_unflattend:                      0
% 0.20/0.58  % pred_elim_cands:                      0
% 0.20/0.58  % pred_elim:                            0
% 0.20/0.58  % pred_elim_cl:                         0
% 0.20/0.58  % pred_elim_cycles:                     0
% 0.20/0.58  % forced_gc_time:                       0
% 0.20/0.58  % gc_basic_clause_elim:                 0
% 0.20/0.58  % parsing_time:                         0.059
% 0.20/0.58  % sem_filter_time:                      0.
% 0.20/0.58  % pred_elim_time:                       0.
% 0.20/0.58  % out_proof_time:                       0.
% 0.20/0.58  % monotx_time:                          0.
% 0.20/0.58  % subtype_inf_time:                     0.
% 0.20/0.58  % unif_index_cands_time:                0.
% 0.20/0.58  % unif_index_add_time:                  0.
% 0.20/0.58  % total_time:                           0.105
% 0.20/0.58  % num_of_symbols:                       91
% 0.20/0.58  % num_of_terms:                         3302
% 0.20/0.58  
% 0.20/0.58  % ------ Propositional Solver
% 0.20/0.58  
% 0.20/0.58  % prop_solver_calls:                    0
% 0.20/0.58  % prop_fast_solver_calls:               3
% 0.20/0.58  % prop_num_of_clauses:                  1119
% 0.20/0.58  % prop_preprocess_simplified:           1066
% 0.20/0.58  % prop_fo_subsumed:                     1
% 0.20/0.58  % prop_solver_time:                     0.
% 0.20/0.58  % prop_fast_solver_time:                0.
% 0.20/0.58  % prop_unsat_core_time:                 0.
% 0.20/0.58  
% 0.20/0.58  % ------ QBF 
% 0.20/0.58  
% 0.20/0.58  % qbf_q_res:                            0
% 0.20/0.58  % qbf_num_tautologies:                  0
% 0.20/0.58  % qbf_prep_cycles:                      0
% 0.20/0.58  
% 0.20/0.58  % ------ BMC1
% 0.20/0.58  
% 0.20/0.58  % bmc1_current_bound:                   -1
% 0.20/0.58  % bmc1_last_solved_bound:               -1
% 0.20/0.58  % bmc1_unsat_core_size:                 -1
% 0.20/0.58  % bmc1_unsat_core_parents_size:         -1
% 0.20/0.58  % bmc1_merge_next_fun:                  0
% 0.20/0.58  % bmc1_unsat_core_clauses_time:         0.
% 0.20/0.58  
% 0.20/0.58  % ------ Instantiation
% 0.20/0.58  
% 0.20/0.58  % inst_num_of_clauses:                  undef
% 0.20/0.58  % inst_num_in_passive:                  undef
% 0.20/0.58  % inst_num_in_active:                   0
% 0.20/0.58  % inst_num_in_unprocessed:              0
% 0.20/0.58  % inst_num_of_loops:                    0
% 0.20/0.58  % inst_num_of_learning_restarts:        0
% 0.20/0.58  % inst_num_moves_active_passive:        0
% 0.20/0.58  % inst_lit_activity:                    0
% 0.20/0.58  % inst_lit_activity_moves:              0
% 0.20/0.58  % inst_num_tautologies:                 0
% 0.20/0.58  % inst_num_prop_implied:                0
% 0.20/0.58  % inst_num_existing_simplified:         0
% 0.20/0.58  % inst_num_eq_res_simplified:           0
% 0.20/0.58  % inst_num_child_elim:                  0
% 0.20/0.58  % inst_num_of_dismatching_blockings:    0
% 0.20/0.58  % inst_num_of_non_proper_insts:         0
% 0.20/0.58  % inst_num_of_duplicates:               0
% 0.20/0.58  % inst_inst_num_from_inst_to_res:       0
% 0.20/0.58  % inst_dismatching_checking_time:       0.
% 0.20/0.58  
% 0.20/0.58  % ------ Resolution
% 0.20/0.58  
% 0.20/0.58  % res_num_of_clauses:                   undef
% 0.20/0.58  % res_num_in_passive:                   undef
% 0.20/0.58  % res_num_in_active:                    0
% 0.20/0.58  % res_num_of_loops:                     0
% 0.20/0.58  % res_forward_subset_subsumed:          0
% 0.20/0.58  % res_backward_subset_subsumed:         0
% 0.20/0.58  % res_forward_subsumed:                 0
% 0.20/0.58  % res_backward_subsumed:                0
% 0.20/0.58  % res_forward_subsumption_resolution:   0
% 0.20/0.58  % res_backward_subsumption_resolution:  0
% 0.20/0.58  % res_clause_to_clause_subsumption:     0
% 0.20/0.58  % res_orphan_elimination:               0
% 0.20/0.58  % res_tautology_del:                    0
% 0.20/0.58  % res_num_eq_res_simplified:            0
% 0.20/0.58  % res_num_sel_changes:                  0
% 0.20/0.58  % res_moves_from_active_to_pass:        0
% 0.20/0.58  
% 0.20/0.58  % Status Unsatisfiable
% 0.20/0.58  % SZS status Unsatisfiable
% 0.20/0.58  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------